%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO528+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Wed Oct 7 10:19:02 AM UTC 2026
% Result : Theorem 128.06s 22.03s
% Output : CNFRefutation 102.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 213
% Syntax : Number of formulae : 3564 (2095 unt; 0 typ; 0 def)
% Number of atoms : 31747 (10545 equ; 0 cnn)
% Maximal formula atoms : 34 ( 8 avg)
% Number of connectives : 86703 (12540 ~;13651 |; 368 &;60144 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 15 con; 0-8 aty)
% Number of variables : 18888 ( 0 ^;18888 !; 0 ?;18888 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_alpha,type,
alpha: $i ).
thf(tp_beta,type,
beta: $i ).
thf(tp_c63,type,
c63: $i > $i > $i > $i ).
thf(tp_crossbar,type,
crossbar: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_erect,type,
erect: $i > $i > $i > $i ).
thf(tp_erect21a,type,
erect21a: $i > $i > $i > $i ).
thf(tp_erectAux,type,
erectAux: $i > $i > $i > $i ).
thf(tp_erectAux21a,type,
erectAux21a: $i > $i > $i > $i ).
thf(tp_ext,type,
ext: $i > $i > $i > $i > $i ).
thf(tp_f811,type,
f811: $i > $i > $i > $i > $i > $i ).
thf(tp_f813,type,
f813: $i > $i > $i > $i > $i > $i ).
thf(tp_foot,type,
foot: $i > $i > $i > $i ).
thf(tp_g811,type,
g811: $i > $i > $i > $i > $i > $i ).
thf(tp_g813,type,
g813: $i > $i > $i > $i > $i > $i ).
thf(tp_gamma,type,
gamma: $i ).
thf(tp_il,type,
il: $i > $i > $i > $i > $i ).
thf(tp_ins,type,
ins: $i > $i > $i > $i > $i ).
thf(tp_insert,type,
insert: $i > $i > $i > $i > $i ).
thf(tp_insert5,type,
insert5: $i > $i > $i > $i > $i > $i ).
thf(tp_ip,type,
ip: $i > $i > $i > $i > $i > $i ).
thf(tp_isomidpoint,type,
isomidpoint: $i > $i > $i > $i ).
thf(tp_le,type,
le: $i > $i > $i > $i > $o ).
thf(tp_midpoint,type,
midpoint: $i > $i > $i ).
thf(tp_midpointAux,type,
midpointAux: $i > $i > $i > $i > $i > $i ).
thf(tp_op,type,
op: $i > $i > $i > $i > $i > $i ).
thf(tp_opposite,type,
opposite: $i > $i > $i > $i > $o ).
thf(tp_perp,type,
perp: $i > $i > $i > $i > $o ).
thf(tp_perpAt,type,
perpAt: $i > $i > $i > $i > $i > $o ).
thf(tp_pointOffLine,type,
pointOffLine: $i > $i > $i ).
thf(tp_reflect,type,
reflect: $i > $i > $i > $i ).
thf(tp_s,type,
s: $i > $i > $i ).
thf(tp_sK1_Xa,type,
sK1_Xa: $i ).
thf(tp_sK2_SY900,type,
sK2_SY900: $i ).
thf(tp_sK3_SY903,type,
sK3_SY903: $i ).
thf(tp_sK4_SY905,type,
sK4_SY905: $i ).
thf(tp_s_afs,type,
s_afs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_col,type,
s_col: $i > $i > $i > $o ).
thf(tp_s_e,type,
s_e: $i > $i > $i > $i > $o ).
thf(tp_s_e3,type,
s_e3: $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_fs,type,
s_fs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_ifs,type,
s_ifs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_kf,type,
s_kf: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_m,type,
s_m: $i > $i > $i > $o ).
thf(tp_s_r,type,
s_r: $i > $i > $i > $o ).
thf(tp_s_t,type,
s_t: $i > $i > $i > $o ).
thf(tp_sameside,type,
sameside: $i > $i > $i > $o ).
thf(tp_samesideline,type,
samesideline: $i > $i > $i > $i > $o ).
thf(tp_ss1,type,
ss1: $i > $i > $i > $i > $i ).
thf(tp_ss2,type,
ss2: $i > $i > $i > $i > $i ).
thf(tp_ss3,type,
ss3: $i > $i > $i > $i > $i ).
thf(tp_xa,type,
xa: $i ).
thf(tp_xb,type,
xb: $i ).
thf(tp_xc,type,
xc: $i ).
thf(tp_xd,type,
xd: $i ).
thf(tp_xp,type,
xp: $i ).
thf(tp_xq,type,
xq: $i ).
thf(1,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xu: $i,Xc: $i,Xv: $i] :
( ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_t @ Xa @ ( ss1 @ Xa @ Xb @ Xp @ Xq ) @ ( ss3 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_t @ Xb @ ( ss2 @ Xa @ Xb @ Xp @ Xq ) @ ( ss3 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xa
!= ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xb
!= ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( ( ss3 @ Xa @ Xb @ Xp @ Xq )
!= ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( ( ss3 @ Xa @ Xb @ Xp @ Xq )
!= ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xp != Xq ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xp @ Xq @ Xa ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xp @ Xq @ Xb ) )
& ( ~ ( s_t @ Xa @ Xu @ Xc )
| ~ ( s_t @ Xb @ Xv @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xu )
| ~ ( s_col @ Xp @ Xq @ Xv )
| ( Xp = Xq )
| ( Xc = Xu )
| ( Xc = Xv )
| ( Xa = Xu )
| ( Xb = Xv )
| ( s_col @ Xp @ Xq @ Xa )
| ( s_col @ Xp @ Xq @ Xb )
| ( samesideline @ Xa @ Xb @ Xp @ Xq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn9_7) ).
thf(2,axiom,
! [Xp: $i,Xq: $i,Xa: $i,Xb: $i,Xt: $i] :
( ( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xa )
| ( s_col @ Xp @ Xq @ Xb )
| ~ ( s_t @ Xa @ Xt @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xt )
| ( opposite @ Xa @ Xp @ Xq @ Xb ) )
& ( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xa ) )
& ( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xb ) )
& ( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( s_t @ Xa @ ( il @ Xa @ Xb @ Xp @ Xq ) @ Xb ) )
& ( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( s_col @ Xp @ Xq @ ( il @ Xa @ Xb @ Xp @ Xq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn9_1) ).
thf(3,axiom,
! [Xp: $i,Xq: $i,Xp1: $i,Xq1: $i,X: $i] :
( ( ~ ( perp @ Xp @ Xq @ Xp1 @ Xq1 )
| ( perpAt @ Xp @ Xq @ ( il @ Xp @ Xq @ Xp1 @ Xq1 ) @ Xp1 @ Xq1 ) )
& ( ( perp @ Xp @ Xq @ Xp1 @ Xq1 )
| ~ ( perpAt @ Xp @ Xq @ X @ Xp1 @ Xq1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11b) ).
thf(4,axiom,
! [Y: $i,Z: $i,X: $i,Y1: $i,Z1: $i,U: $i,V: $i] :
( ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( s_col @ Y @ Z @ X ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( s_col @ Y1 @ Z1 @ X ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y != Z ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y1 != Z1 ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ U )
| ~ ( s_col @ Y1 @ Z1 @ V )
| ( s_r @ U @ X @ V ) )
& ( ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y = Z )
| ( Y1 = Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X )
| ( s_col @ Y @ Z @ ( f811 @ Y @ Z @ Y1 @ Z1 @ X ) ) )
& ( ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y = Z )
| ( Y1 = Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X )
| ( s_col @ Y1 @ Z1 @ ( g811 @ Y @ Z @ Y1 @ Z1 @ X ) ) )
& ( ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y = Z )
| ( Y1 = Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X )
| ~ ( s_r @ ( f811 @ Y @ Z @ Y1 @ Z1 @ X ) @ X @ ( g811 @ Y @ Z @ Y1 @ Z1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a) ).
thf(5,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) ) )
& ( ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1) ).
thf(6,axiom,
! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xa1 @ Xc @ Xa2 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xb1 @ Xc @ Xb2 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_e @ Xc @ Xa1 @ Xc @ Xb1 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_e @ Xc @ Xa2 @ Xc @ Xb2 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_m @ Xa1 @ Xm1 @ Xb1 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_m @ Xa2 @ Xm2 @ Xb2 ) )
& ( ~ ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 )
| ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn7_23) ).
thf(7,axiom,
! [Xa: $i,Xm: $i,Xb: $i] :
( ( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_t @ Xa @ Xm @ Xb ) )
& ( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_e @ Xm @ Xa @ Xm @ Xb ) )
& ( ~ ( s_t @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb )
| ( s_m @ Xa @ Xm @ Xb ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn7_1) ).
thf(8,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xa != Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xb != Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xp @ Xa @ Xb )
| ( s_t @ Xp @ Xb @ Xa ) )
& ( ~ ( s_t @ Xp @ Xa @ Xb )
| ( Xa = Xp )
| ( xb = Xp )
| ( sameside @ Xa @ Xp @ Xb ) )
& ( ~ ( s_t @ Xp @ Xb @ Xa )
| ( Xa = Xp )
| ( Xb = Xp )
| ( sameside @ Xa @ Xp @ Xb ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn6_1) ).
thf(9,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Y: $i] :
( ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_t @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) )
& ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ Xb @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) ) )
& ( ~ ( s_t @ Xc @ Y @ Xd )
| ~ ( s_e @ Xa @ Xb @ Xc @ Y )
| ( le @ Xa @ Xb @ Xc @ Xd ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn5_4) ).
thf(10,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_col @ Xa @ Xb @ Xc ) )
& ( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) )
& ( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xa @ Xd @ Xa1 @ Xd1 ) )
& ( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) )
& ( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xd @ Xa1 @ Xd1 )
| ~ ( s_e @ Xb @ Xd @ Xb1 @ Xd1 )
| ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_15) ).
thf(11,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xb @ Xc )
| ( s_t @ Xb @ Xc @ Xa )
| ( s_t @ Xc @ Xa @ Xb ) )
& ( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc ) )
& ( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xa ) )
& ( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xc @ Xa @ Xb ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_10) ).
thf(12,axiom,
! [Xa1: $i,Xa2: $i,Xa3: $i,Xb1: $i,Xb2: $i,Xb3: $i] :
( ( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 ) )
& ( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 ) )
& ( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 ) )
& ( ~ ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 )
| ~ ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 )
| ~ ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 )
| ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_4) ).
thf(13,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Za: $i,Zb: $i,Zc: $i,Zd: $i] :
( ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Xa @ Xb @ Xc ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Za @ Zb @ Zc ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xc @ Za @ Zc ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xc @ Zb @ Zc ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xd @ Za @ Zd ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xc @ Xd @ Zc @ Zd ) )
& ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Za @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xc @ Za @ Zc )
| ~ ( s_e @ Xb @ Xc @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xd @ Za @ Zd )
| ~ ( s_e @ Xc @ Xd @ Zc @ Zd )
| ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_1) ).
thf(14,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Za: $i,Zb: $i,Zc: $i,Zd: $i] :
( ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Xa @ Xb @ Xc ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Za @ Zb @ Zc ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xb @ Za @ Zb ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xc @ Zb @ Zc ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xd @ Za @ Zd ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xd @ Zb @ Zd ) )
& ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Za @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xb @ Za @ Zb )
| ~ ( s_e @ Xb @ Xc @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xd @ Za @ Zd )
| ~ ( s_e @ Xb @ Xd @ Zb @ Zd )
| ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn2_10) ).
thf(15,axiom,
! [Xa: $i,Xb: $i,Xa1: $i,Xc1: $i] :
( ( insert @ Xa @ Xb @ Xa1 @ Xc1 )
= ( ext @ ( ext @ Xc1 @ Xa1 @ alpha @ gamma ) @ Xa1 @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_insert) ).
thf(16,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_12) ).
thf(17,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_12a) ).
thf(18,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ( Xb
!= ( midpoint @ Xc @ Xc1 ) )
| ( Xc = Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_12c) ).
thf(19,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_12b) ).
thf(20,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ( s_e @ Xp @ Xq @ ( reflect @ Xa @ Xb @ Xp ) @ ( reflect @ Xa @ Xb @ Xq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_10) ).
thf(21,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ( s_e @ Xp @ Xq @ ( reflect @ Xa @ Xb @ Xp ) @ ( reflect @ Xa @ Xb @ Xq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_10a) ).
thf(22,axiom,
! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ( ( reflect @ Xa @ Xb @ Xp )
= Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_8b) ).
thf(23,axiom,
! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp )
| ( s_col @ Xa @ Xb @ Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_8a) ).
thf(24,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= ( reflect @ Xa @ Xb @ Xq ) )
| ( Xp = Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_7) ).
thf(25,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_6) ).
thf(26,axiom,
! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
= Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_5) ).
thf(27,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_4) ).
thf(28,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) )
| ~ ( perp @ Xa @ Xb @ Xp @ Xp1 )
| ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) ) )
& ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) )
| ( Xp != Xp1 )
| ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_2b) ).
thf(29,axiom,
! [Xa: $i,Xb: $i,Xp: $i] :
( ( ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ ( reflect @ Xa @ Xb @ Xp ) ) ) )
& ( ( Xa = Xb )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp ) )
| ( perp @ Xa @ Xb @ Xp @ ( reflect @ Xa @ Xb @ Xp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_2a) ).
thf(30,axiom,
! [Xc: $i,Xd: $i,Xp: $i,Xa: $i,Xb: $i] :
( ( Xc = Xd )
| ~ ( s_col @ Xc @ Xd @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_col @ Xc @ Xd @ Xa )
| ( samesideline @ Xa @ Xb @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_19b) ).
thf(31,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i] :
( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( sameside @ Xa @ Xq @ Xr )
| ( samesideline @ Xr @ Xb @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_16) ).
thf(32,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( opposite @ Xr @ Xp @ Xq @ Xcs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13f) ).
thf(33,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( Xp
= ( foot @ Xp @ Xq @ Xr ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13f_case2) ).
thf(34,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( Xp
!= ( foot @ Xp @ Xq @ Xr ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13f_case1) ).
thf(35,axiom,
! [Xp: $i,Xq: $i,Xc: $i,Xa: $i,Xb: $i] :
( ( Xp = Xq )
| ~ ( perpAt @ Xp @ Xq @ Xc @ Xa @ Xc )
| ~ ( perpAt @ Xp @ Xq @ Xc @ Xb @ Xc )
| ( Xa = Xc )
| ( s_col @ Xc @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13g) ).
thf(36,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xb: $i,Xc: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( samesideline @ Xb @ Xc @ Xp @ Xq )
| ( opposite @ Xa @ Xp @ Xq @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13e) ).
thf(37,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xq @ Xp @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13d) ).
thf(38,axiom,
! [Xd: $i,Xe: $i,Xd1: $i,Xa: $i,Xb: $i] :
( ( Xd = Xe )
| ~ ( s_t @ Xe @ Xd @ Xd1 )
| ~ ( samesideline @ Xa @ Xb @ Xd1 @ Xe )
| ( samesideline @ Xa @ Xb @ Xd @ Xe ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13c) ).
thf(39,axiom,
! [Xa: $i,Xb: $i,U: $i,V: $i,W: $i] :
( ( Xa = Xb )
| ~ ( s_m @ U @ V @ W )
| ~ ( s_col @ Xa @ Xb @ U )
| ~ ( s_col @ Xa @ Xb @ W )
| ( s_col @ Xa @ Xb @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13b) ).
thf(40,axiom,
! [Xp: $i,Xq: $i,Xa: $i,Xb: $i] :
( ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xp @ Xq @ Xb @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aLemma9_13a) ).
thf(41,axiom,
! [Xp: $i,Xq: $i,Xa: $i,Xb: $i,Xc: $i] :
( ( Xp = Xq )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( samesideline @ Xb @ Xc @ Xp @ Xq )
| ( samesideline @ Xa @ Xc @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_13) ).
thf(42,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_9) ).
thf(43,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_8) ).
thf(44,axiom,
! [Xa: $i,Xc: $i,Xp: $i,Xb: $i,Xq: $i] :
( ( ~ ( s_t @ Xa @ Xc @ Xp )
| ~ ( s_t @ Xb @ Xq @ Xc )
| ( s_t @ Xa @ ( op @ Xq @ Xb @ Xp @ Xc @ Xa ) @ Xb ) )
& ( ~ ( s_t @ Xa @ Xc @ Xp )
| ~ ( s_t @ Xb @ Xq @ Xc )
| ( s_t @ Xp @ Xq @ ( op @ Xq @ Xb @ Xp @ Xc @ Xa ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_6) ).
thf(45,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xr: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_5) ).
thf(46,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i,V: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ~ ( sameside @ V @ Xcs @ Xc )
| ( opposite @ U @ Xp @ Xq @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4c) ).
thf(47,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
thf(48,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ( Xr != Xcs )
| ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4b) ).
thf(49,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ( sameside @ U @ Xr @ Xa )
| ~ ( le @ Xcs @ Xc @ Xr @ Xa )
| ( Xr = Xcs )
| ~ ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4a2) ).
thf(50,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ~ ( le @ Xcs @ Xc @ Xr @ Xa )
| ( Xr = Xcs )
| ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4a) ).
thf(51,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xm: $i] :
( ~ ( sameside @ Xa @ Xb @ Xc )
| ( sameside @ ( s @ Xm @ Xa ) @ ( s @ Xm @ Xb ) @ ( s @ Xm @ Xc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSideReflect) ).
thf(52,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xm: $i,Xr: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xm )
| ~ ( s_m @ Xa @ Xm @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_3) ).
thf(53,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xm: $i,Xr: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xm )
| ~ ( s_m @ Xa @ Xm @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( s_t @ Xr @ Xb @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_3a) ).
thf(54,axiom,
! [Xa: $i,Xp: $i,Xq: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_2) ).
thf(55,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xp @ Xq @ Xb @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtSameSide2) ).
thf(56,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( Xa = Xc )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xp @ Xq @ Xa @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtSameSide1) ).
thf(57,axiom,
( ~ ( s_col @ xa @ xb @ xp )
| ~ ( s_col @ xa @ xb @ xq )
| ( xp = xq )
| ( xa = xb )
| ( perp @ xc @ xd @ xp @ xq )
| ~ ( perp @ xc @ xd @ xa @ xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp6) ).
thf(58,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i] :
( ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xp = Xq )
| ( Xa = Xb )
| ( perp @ Xp @ Xq @ Xc @ Xd )
| ~ ( perp @ Xa @ Xb @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp5) ).
thf(59,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xa @ Xb @ Xq @ Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp4) ).
thf(60,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( Xa = Xb )
| ( Xa = Xc )
| ( Xb = Xc )
| ( Xd = Xc )
| ( Xa = Xd )
| ~ ( perp @ Xb @ Xa @ Xa @ Xc )
| ~ ( s_col @ Xa @ Xc @ Xd )
| ( perp @ Xb @ Xa @ Xa @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp3) ).
thf(61,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i] :
( ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xp = Xq )
| ( Xa = Xb )
| ~ ( perp @ Xp @ Xq @ Xc @ Xd )
| ( perp @ Xa @ Xb @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp2) ).
thf(62,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i,Xc: $i,Xd: $i] :
( ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xp = Xq )
| ( Xa = Xb )
| ~ ( perpAt @ Xp @ Xq @ Xr @ Xc @ Xd )
| ( perpAt @ Xa @ Xb @ Xr @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtPerp) ).
thf(63,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ( Xa = Xb )
| ( s_col @ Xa @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aext1) ).
thf(64,axiom,
! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i] :
( ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr )
| ( s_m @ Xp @ ( midpoint @ Xa @ Xb ) @ Xr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_24) ).
thf(65,axiom,
! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i,Xcx: $i] :
( ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr )
| ( Xcx
!= ( ip @ Xp @ Xt @ Xq @ Xb @ Xr ) )
| ( s_m @ Xp @ Xcx @ Xr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_24b) ).
thf(66,axiom,
! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i,Xcx: $i] :
( ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr )
| ( Xcx
!= ( ip @ Xp @ Xt @ Xq @ Xb @ Xr ) )
| ( s_m @ Xa @ Xcx @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_24a) ).
thf(67,axiom,
! [Xa: $i,Xb: $i] : ( s_m @ Xa @ ( midpoint @ Xa @ Xb ) @ Xb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_22) ).
thf(68,axiom,
! [Xa: $i,Xp: $i,Xb: $i,Xq: $i,Xt: $i] :
( ~ ( le @ Xa @ Xp @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xa @ Xp )
| ~ ( perp @ Xa @ Xb @ Xb @ Xq )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ( s_m @ Xa @ ( midpointAux @ Xa @ Xb @ Xp @ Xq @ Xt ) @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_22b) ).
thf(69,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ( ( Xa = Xb )
| ( perp @ Xa @ Xb @ ( erect @ Xa @ Xb @ Xc ) @ Xa ) )
& ( ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( erectAux @ Xa @ Xb @ Xc ) ) )
& ( ( Xa = Xb )
| ( s_t @ Xc @ ( erectAux @ Xa @ Xb @ Xc ) @ ( erect @ Xa @ Xb @ Xc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_21) ).
thf(70,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ( ( Xa = Xb )
| ( perp @ Xa @ Xb @ ( erect21a @ Xa @ Xb @ Xc ) @ Xa )
| ( s_col @ Xa @ Xb @ Xc ) )
& ( ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( erectAux21a @ Xa @ Xb @ Xc ) )
| ( s_col @ Xa @ Xb @ Xc ) )
& ( ( Xa = Xb )
| ( s_t @ Xc @ ( erectAux21a @ Xa @ Xb @ Xc ) @ ( erect21a @ Xa @ Xb @ Xc ) )
| ( s_col @ Xa @ Xb @ Xc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_21a) ).
thf(71,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xp: $i] :
( ( Xa = Xb )
| ( Xc = Xd )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( s_col @ Xc @ Xd @ Xp )
| ( s_col @ Xa @ Xb @ Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aExtCol2) ).
thf(72,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xb @ Xa @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aperp1) ).
thf(73,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xp: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_m @ ( s @ Xa @ Xc ) @ Xp @ ( s @ Xb @ Xc ) )
| ( Xb = Xc )
| ( Xa != Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_20b) ).
thf(74,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xp: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_m @ ( s @ Xa @ Xc ) @ Xp @ ( s @ Xb @ Xc ) )
| ( s_r @ Xb @ Xa @ Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_20a) ).
thf(75,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ( ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xa @ Xb @ ( foot @ Xa @ Xb @ Xc ) ) )
& ( ( s_col @ Xa @ Xb @ Xc )
| ( perp @ Xa @ Xb @ Xc @ ( foot @ Xa @ Xb @ Xc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_18) ).
thf(76,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp )
| ~ ( perp @ Xa @ Xb @ Xc @ Xq )
| ( Xp = Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_18a) ).
thf(77,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xq = Xp )
| ( perp @ Xa @ Xb @ Xc @ Xp )
| ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xc @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_16b) ).
thf(78,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xq = Xp )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp ) )
& ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xq = Xp )
| ( s_r @ Xc @ Xp @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_16a) ).
thf(79,axiom,
! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( perp @ Xa @ Xb @ Xc @ Xd )
| ( perpAt @ Xa @ Xb @ Xd @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_15) ).
thf(80,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
= ( il @ Xa @ Xb @ Xp @ Xq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14c) ).
thf(81,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xc )
| ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14b) ).
thf(82,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14a) ).
thf(83,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xcx: $i,U: $i,V: $i] :
( ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcx )
| ~ ( s_col @ Xa @ Xb @ Xcx )
| ~ ( s_col @ Xa @ Xb @ U )
| ~ ( s_col @ Xp @ Xq @ V )
| ( Xcx = U )
| ( Xcx = V )
| ~ ( s_r @ U @ Xcx @ V )
| ( perpAt @ Xa @ Xb @ Xcx @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13b) ).
thf(84,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xa != Xb ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xp != Xq ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xc ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xa @ Xb @ Xc ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xa @ Xb @ ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
!= ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
!= ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_r @ ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) @ Xc @ ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13a) ).
thf(85,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xp @ Xq @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12b) ).
thf(86,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( perpAt @ Xp @ Xq @ Xc @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12a) ).
thf(87,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ( s_r @ Xa1 @ Xb1 @ Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_10) ).
thf(88,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( Xc = Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_9) ).
thf(89,axiom,
! [Xa: $i,Xb: $i] :
( ~ ( s_r @ Xa @ Xb @ Xa )
| ( Xa = Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_8) ).
thf(90,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa @ Xc @ Xb )
| ( Xb = Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_7) ).
thf(91,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xa1 )
| ( Xb = Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_6) ).
thf(92,axiom,
! [Xa: $i,Xb: $i] : ( s_r @ Xa @ Xb @ Xb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_5) ).
thf(93,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_r @ Xa @ Xb @ ( s @ Xb @ Xc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_4) ).
thf(94,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ~ ( s_col @ Xb @ Xa @ Xa1 )
| ( s_r @ Xa1 @ Xb @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_3) ).
thf(95,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_r @ Xc @ Xb @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2) ).
thf(96,axiom,
! [Xc: $i,Xa: $i,Xb: $i] :
( ~ ( s_e @ Xc @ Xa @ Xc @ Xb )
| ( s_m @ Xa @ ( isomidpoint @ Xa @ Xb @ Xc ) @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_25) ).
thf(97,axiom,
! [Xa1: $i,Xc: $i,Xa2: $i,Xb1: $i,Xb2: $i,Xm1: $i,Xm2: $i] :
( ~ ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 )
| ( s_t @ Xm1 @ Xc @ Xm2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).
thf(98,axiom,
! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xm1 @ Xc @ Xm2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22b) ).
thf(99,axiom,
! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xm1 @ Xc @ Xm2 )
| ~ ( le @ Xc @ Xa1 @ Xc @ Xa2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22a) ).
thf(100,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xp: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( Xb = Xd )
| ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xb @ Xc @ Xd @ Xa )
| ~ ( s_col @ Xa @ Xp @ Xc )
| ~ ( s_col @ Xb @ Xp @ Xd )
| ( s_m @ Xa @ Xp @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_21) ).
thf(101,axiom,
! [Xa: $i,Xm: $i,Xb: $i] :
( ~ ( s_col @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb )
| ( Xa = Xb )
| ( s_m @ Xa @ Xm @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_20) ).
thf(102,axiom,
! [Xa: $i,Xb: $i,Xp: $i] :
( ( ( s @ Xa @ ( s @ Xb @ Xp ) )
!= ( s @ Xb @ ( s @ Xa @ Xp ) ) )
| ( Xa = Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_19) ).
thf(103,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xb @ Xp ) )
| ( Xa = Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_18) ).
thf(104,axiom,
! [Xp: $i,Xa: $i,Xq: $i,Xb: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ~ ( s_m @ Xp @ Xb @ Xq )
| ( Xa = Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_17) ).
thf(105,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i,Xa: $i] :
( ( s_e @ Xp @ Xq @ Xr @ Xcs )
| ~ ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_16b) ).
thf(106,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i,Xa: $i] :
( ~ ( s_e @ Xp @ Xq @ Xr @ Xcs )
| ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_16a) ).
thf(107,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_t @ Xp @ Xq @ Xr )
| ~ ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15b) ).
thf(108,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ~ ( s_t @ Xp @ Xq @ Xr )
| ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15a) ).
thf(109,axiom,
! [Xp: $i,Xq: $i,Xa: $i] : ( s_e @ Xp @ Xq @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_13) ).
thf(110,axiom,
! [Xa: $i,Xp: $i] :
( ( ( s @ Xa @ Xp )
= Xp )
| ( Xp != Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_10b) ).
thf(111,axiom,
! [Xa: $i,Xp: $i] :
( ( ( s @ Xa @ Xp )
!= Xp )
| ( Xp = Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_10a) ).
thf(112,axiom,
! [Xa: $i,Xp: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xa @ Xq ) )
| ( Xp = Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_9) ).
thf(113,axiom,
! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= Xr )
| ( ( s @ Xa @ Xq )
!= Xr )
| ( Xp = Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_8) ).
thf(114,axiom,
! [Xa: $i,Xp: $i] :
( ( s @ Xa @ ( s @ Xa @ Xp ) )
= Xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
thf(115,axiom,
! [Xp: $i,Xa: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xq
= ( s @ Xa @ Xp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_6) ).
thf(116,axiom,
! [Xp: $i,Xa: $i,Xr: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xr )
| ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xr = Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_4b) ).
thf(117,axiom,
! [Xp: $i,Xa: $i] : ( s_m @ Xp @ Xa @ ( s @ Xa @ Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_4a) ).
thf(118,axiom,
! [Xa: $i,Xm: $i] :
( ( s_m @ Xa @ Xm @ Xa )
| ( Xm != Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3b) ).
thf(119,axiom,
! [Xa: $i,Xm: $i] :
( ~ ( s_m @ Xa @ Xm @ Xa )
| ( Xm = Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3a) ).
thf(120,axiom,
! [Xa: $i,Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_m @ Xb @ Xm @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_2) ).
thf(121,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( sameside @ Xa @ Xb @ Xc )
| ~ ( sameside @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xb @ Xa @ Xb1 @ Xa1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_28) ).
thf(122,axiom,
! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( pointOffLine @ Xa @ Xb ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_25) ).
thf(123,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i,Xe: $i] :
( ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( s_col @ Xp @ Xq @ Xd )
| ( Xc = Xd )
| ~ ( s_col @ Xa @ Xb @ Xe )
| ( s_col @ Xp @ Xq @ Xe ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_21) ).
thf(124,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i] :
( ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xa )
| ~ ( s_col @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xa @ Xb @ Xr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_18) ).
thf(125,axiom,
! [Xp: $i,Xq: $i,Xr: $i] :
( ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xq @ Xp @ Xr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_17b) ).
thf(126,axiom,
! [Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_17a) ).
thf(127,axiom,
! [Xp: $i,Xq: $i,Xcs: $i,Xr: $i] :
( ( Xp = Xq )
| ( Xcs = Xp )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xp @ Xcs @ Xr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16b) ).
thf(128,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( Xa = Xb )
| ~ ( s_t @ Xc @ Xa @ Xb )
| ~ ( s_t @ Xd @ Xa @ Xb )
| ( s_t @ Xd @ Xc @ Xb )
| ( s_t @ Xc @ Xd @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16a) ).
thf(129,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ( Xa != Xp )
| ( s_col @ Xa @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_15d) ).
thf(130,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( sameside @ Xa @ Xp @ Xr )
| ( s_col @ Xa @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_15c) ).
thf(131,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( sameside @ Xa @ Xp @ Xq )
| ( s_col @ Xa @ Xp @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_15b) ).
thf(132,axiom,
! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( s_col @ Xa @ Xp @ Xq )
| ( Xa = Xp )
| ( sameside @ Xa @ Xp @ Xq )
| ( sameside @ Xa @ Xp @ Xr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_15a) ).
thf(133,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( le @ Xp @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xp @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_13b) ).
thf(134,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( le @ Xp @ Xa @ Xp @ Xb )
| ( s_t @ Xp @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_13a) ).
thf(135,axiom,
! [Xr: $i,Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( Xr = Xa )
| ( Xb = Xc )
| ~ ( sameside @ Xp @ Xa @ Xr )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xc )
| ~ ( sameside @ Xq @ Xa @ Xr )
| ~ ( s_e @ Xa @ Xq @ Xb @ Xc )
| ( Xp = Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_11b) ).
thf(136,axiom,
! [Xr: $i,Xa: $i,Xb: $i,Xc: $i] :
( ( ( Xr = Xa )
| ( Xb = Xc )
| ( sameside @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xa @ Xr ) )
& ( ( Xr = Xa )
| ( Xb = Xc )
| ( s_e @ Xa @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xb @ Xc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_11a) ).
thf(137,axiom,
! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( sameside @ Xb @ Xp @ Xc )
| ( sameside @ Xa @ Xp @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_7) ).
thf(138,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( sameside @ Xb @ Xp @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_6) ).
thf(139,axiom,
! [Xa: $i,Xp: $i] :
( ( Xa = Xp )
| ( sameside @ Xa @ Xp @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_5) ).
thf(140,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_col @ Xa @ Xp @ Xb )
| ( s_t @ Xa @ Xp @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_4b) ).
thf(141,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_col @ Xa @ Xp @ Xb ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xa @ Xp @ Xb ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_4a) ).
thf(142,axiom,
! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ( Xa = Xp )
| ( Xb = Xp )
| ( Xc = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xp @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_3b) ).
thf(143,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xa != Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xb != Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( ( c63 @ Xa @ Xp @ Xb )
!= Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xa @ Xp @ ( c63 @ Xa @ Xp @ Xb ) ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xb @ Xp @ ( c63 @ Xa @ Xp @ Xb ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_3a) ).
thf(144,axiom,
! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( Xa = Xp )
| ( Xb = Xp )
| ( Xc = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ( s_t @ Xb @ Xp @ Xc )
| ~ ( sameside @ Xa @ Xp @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_2b) ).
thf(145,axiom,
! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( Xa = Xp )
| ( Xb = Xp )
| ( Xc = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xp @ Xc )
| ( sameside @ Xa @ Xp @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_2a) ).
thf(146,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xb @ Xc )
| ~ ( le @ Xa @ Xb @ Xa @ Xc )
| ~ ( le @ Xb @ Xc @ Xa @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_12b) ).
thf(147,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xb )
| ( Xc = Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNarbouxLemma1) ).
thf(148,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ( le @ Xb @ Xc @ Xa @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_12a2) ).
thf(149,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ( le @ Xa @ Xb @ Xa @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_12a1) ).
thf(150,axiom,
! [Xa: $i,Xc: $i,Xd: $i] : ( le @ Xa @ Xa @ Xc @ Xd ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_11) ).
thf(151,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( le @ Xa @ Xb @ Xc @ Xd )
| ( le @ Xc @ Xd @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_10) ).
thf(152,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xc @ Xd @ Xa @ Xb )
| ( s_e @ Xa @ Xb @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_9) ).
thf(153,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xc @ Xd @ Xe @ Xf )
| ( le @ Xa @ Xb @ Xe @ Xf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_8) ).
thf(154,axiom,
! [Xa: $i,Xb: $i] : ( le @ Xa @ Xb @ Xa @ Xb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_7) ).
thf(155,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xc @ Xd @ Xc1 @ Xd1 )
| ( le @ Xa1 @ Xb1 @ Xc1 @ Xd1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_6) ).
thf(156,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i] :
( ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xe )
| ~ ( s_e @ Xa @ Xe @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_5b) ).
thf(157,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ ( ins @ Xc @ Xd @ Xa @ Xb ) ) )
& ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ ( ins @ Xc @ Xd @ Xa @ Xb ) @ Xc @ Xd ) )
& ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( ( ins @ Xc @ Xd @ Xa @ Xb )
= ( ext @ Xa @ Xb @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_5a) ).
thf(158,axiom,
! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xa @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xc @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_3) ).
thf(159,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( Xa = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ( s_t @ Xb @ Xc @ Xd )
| ( s_t @ Xb @ Xd @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_2) ).
thf(160,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( Xa = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ( s_t @ Xa @ Xc @ Xd )
| ( s_t @ Xa @ Xd @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_1) ).
thf(161,axiom,
! [Xa: $i,Xc: $i,Xb: $i,Xc1: $i] :
( ~ ( s_t @ Xa @ Xc @ Xb )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
| ( Xc = Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_19) ).
thf(162,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xc1: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
| ( Xc = Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_18) ).
thf(163,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xp @ Xa @ Xq )
| ~ ( s_e @ Xb @ Xp @ Xb @ Xq )
| ( s_e @ Xc @ Xp @ Xc @ Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_17) ).
thf(164,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( Xa = Xb )
| ( s_e @ Xc @ Xd @ Xc1 @ Xd1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_16) ).
thf(165,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ ( insert5 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_14) ).
thf(166,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ( s_col @ Xa1 @ Xb1 @ Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_13) ).
thf(167,axiom,
! [Xa: $i,Xb: $i] : ( s_col @ Xa @ Xb @ Xa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12b) ).
thf(168,axiom,
! [Xa: $i,Xb: $i] : ( s_col @ Xa @ Xa @ Xb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12) ).
thf(169,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xa @ Xc @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11e) ).
thf(170,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xb @ Xa @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11d) ).
thf(171,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xc @ Xb @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11c) ).
thf(172,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xc @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11b) ).
thf(173,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xb @ Xc @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11a) ).
thf(174,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ( s_t @ Xa1 @ Xb1 @ Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_6) ).
thf(175,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ( s_t @ Xa1 @ ( insert @ Xa @ Xb @ Xa1 @ Xc1 ) @ Xc1 ) )
& ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ ( insert @ Xa @ Xb @ Xa1 @ Xc1 ) @ Xc1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_5) ).
thf(176,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 )
| ( s_e @ Xa @ Xb @ Xa1 @ Xb1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_3) ).
thf(177,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_2) ).
thf(178,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xp: $i] :
( ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc )
| ~ ( s_t @ Xa @ Xp @ Xa1 )
| ( s_t @ Xp @ ( crossbar @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xp ) @ Xc ) )
& ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc )
| ~ ( s_t @ Xa @ Xp @ Xa1 )
| ( s_t @ Xb @ ( crossbar @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xp ) @ Xb1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_17) ).
thf(179,axiom,
! [Xb: $i,Xa: $i] :
( Xb
!= ( ext @ Xa @ Xb @ alpha @ gamma ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_14b) ).
thf(180,axiom,
! [Xa: $i,Xb: $i] : ( s_t @ Xa @ Xb @ ( ext @ Xa @ Xb @ alpha @ gamma ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_14a) ).
thf(181,axiom,
alpha != gamma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13c) ).
thf(182,axiom,
beta != gamma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13b) ).
thf(183,axiom,
alpha != beta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13a) ).
thf(184,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xd )
| ( Xb = Xc )
| ( s_t @ Xa @ Xb @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_7b) ).
thf(185,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6b) ).
thf(186,axiom,
! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xb @ Xc @ Xd )
| ( s_t @ Xa @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5b) ).
thf(187,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xd )
| ( Xb = Xc )
| ( s_t @ Xa @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_7a) ).
thf(188,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xd )
| ( s_t @ Xb @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6a) ).
thf(189,axiom,
! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xb @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5a) ).
thf(190,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xa @ Xc )
| ( Xa = Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_4) ).
thf(191,axiom,
! [Xa1: $i,Xb1: $i] : ( s_t @ Xa1 @ Xa1 @ Xb1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_3) ).
thf(192,axiom,
! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ( s_t @ Xc @ Xb @ Xa ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_2) ).
thf(193,axiom,
! [Xa: $i,Xb: $i] : ( s_t @ Xa @ Xb @ Xb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_1) ).
thf(194,axiom,
! [Xa: $i,Xb: $i,Xc: $i,XA: $i,XB: $i,XC: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ XA @ XB @ XC )
| ~ ( s_e @ Xa @ Xb @ XB @ XC )
| ~ ( s_e @ Xb @ Xc @ XA @ XB )
| ( s_e @ Xa @ Xc @ XA @ XC ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_15) ).
thf(195,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xb @ Xa @ Xd @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_14) ).
thf(196,axiom,
! [Xb: $i,Xc: $i,Xa: $i] :
( ~ ( s_e @ Xb @ Xc @ Xa @ Xa )
| ( Xb = Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_13) ).
thf(197,axiom,
! [Xq: $i,Xa: $i,Xd: $i,Xb: $i,Xc: $i] :
( ( Xq = Xa )
| ~ ( s_t @ Xq @ Xa @ Xd )
| ~ ( s_e @ Xa @ Xd @ Xb @ Xc )
| ( Xd
= ( ext @ Xq @ Xa @ Xb @ Xc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_12) ).
thf(198,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_11) ).
thf(199,axiom,
! [Xa: $i,Xb: $i] : ( s_e @ Xa @ Xa @ Xb @ Xb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_8) ).
thf(200,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ Xb @ Xd @ Xc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_5) ).
thf(201,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xb @ Xa @ Xc @ Xd ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_4) ).
thf(202,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xc @ Xd @ Xe @ Xf )
| ( s_e @ Xa @ Xb @ Xe @ Xf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_3) ).
thf(203,axiom,
! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xc @ Xd @ Xa @ Xb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2) ).
thf(204,axiom,
! [Xa: $i,Xb: $i] : ( s_e @ Xa @ Xb @ Xa @ Xb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_1) ).
thf(205,axiom,
( ~ ( s_t @ alpha @ beta @ gamma )
& ~ ( s_t @ beta @ gamma @ alpha )
& ~ ( s_t @ gamma @ alpha @ beta ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA8) ).
thf(206,axiom,
! [Xa: $i,Xp: $i,Xc: $i,Xb: $i,Xq: $i] :
( ( ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xq @ Xc )
| ( s_t @ Xp @ ( ip @ Xa @ Xp @ Xc @ Xb @ Xq ) @ Xb ) )
& ( ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xq @ Xc )
| ( s_t @ Xq @ ( ip @ Xa @ Xp @ Xc @ Xb @ Xq ) @ Xa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA7) ).
thf(207,axiom,
! [X: $i,Y: $i] :
( ~ ( s_t @ X @ Y @ X )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA6) ).
thf(208,axiom,
! [X: $i,Y: $i,X1: $i,Y1: $i,Z: $i,Z1: $i,V: $i,V1: $i] :
( ~ ( s_e @ X @ Y @ X1 @ Y1 )
| ~ ( s_e @ Y @ Z @ Y1 @ Z1 )
| ~ ( s_e @ X @ V @ X1 @ V1 )
| ~ ( s_e @ Y @ V @ Y1 @ V1 )
| ~ ( s_t @ X @ Y @ Z )
| ~ ( s_t @ X1 @ Y1 @ Z1 )
| ( X = Y )
| ( s_e @ Z @ V @ Z1 @ V1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA5) ).
thf(209,axiom,
! [X: $i,Y: $i,W: $i,V: $i] :
( ( s_t @ X @ Y @ ( ext @ X @ Y @ W @ V ) )
& ( s_e @ Y @ ( ext @ X @ Y @ W @ V ) @ W @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA4) ).
thf(210,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( s_e @ X @ Y @ Z @ Z )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA3) ).
thf(211,axiom,
! [X: $i,Y: $i,Z: $i,V: $i,Z2: $i,V2: $i] :
( ~ ( s_e @ X @ Y @ Z @ V )
| ~ ( s_e @ X @ Y @ Z2 @ V2 )
| ( s_e @ Z @ V @ Z2 @ V2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA2) ).
thf(212,axiom,
! [X: $i,Y: $i] : ( s_e @ X @ Y @ Y @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA1) ).
thf(213,conjecture,
! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( s_col @ Xa @ Xb @ Xp )
| ( opposite @ Xp @ Xa @ Xb @ Xp1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_14) ).
thf(214,negated_conjecture,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( s_col @ Xa @ Xb @ Xp )
| ( opposite @ Xp @ Xa @ Xb @ Xp1 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[213]) ).
thf(215,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( s_col @ Xa @ Xb @ Xp )
| ( opposite @ Xp @ Xa @ Xb @ Xp1 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[214]) ).
thf(216,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xu: $i,Xc: $i,Xv: $i] :
( ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_t @ Xa @ ( ss1 @ Xa @ Xb @ Xp @ Xq ) @ ( ss3 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_t @ Xb @ ( ss2 @ Xa @ Xb @ Xp @ Xq ) @ ( ss3 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xa
!= ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xb
!= ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( ( ss3 @ Xa @ Xb @ Xp @ Xq )
!= ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( ( ss3 @ Xa @ Xb @ Xp @ Xq )
!= ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xp != Xq ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xp @ Xq @ Xa ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xp @ Xq @ Xb ) )
& ( ~ ( s_t @ Xa @ Xu @ Xc )
| ~ ( s_t @ Xb @ Xv @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xu )
| ~ ( s_col @ Xp @ Xq @ Xv )
| ( Xp = Xq )
| ( Xc = Xu )
| ( Xc = Xv )
| ( Xa = Xu )
| ( Xb = Xv )
| ( s_col @ Xp @ Xq @ Xa )
| ( s_col @ Xp @ Xq @ Xb )
| ( samesideline @ Xa @ Xb @ Xp @ Xq ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(217,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i,Xb: $i,Xt: $i] :
( ( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xa )
| ( s_col @ Xp @ Xq @ Xb )
| ~ ( s_t @ Xa @ Xt @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xt )
| ( opposite @ Xa @ Xp @ Xq @ Xb ) )
& ( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xa ) )
& ( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xb ) )
& ( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( s_t @ Xa @ ( il @ Xa @ Xb @ Xp @ Xq ) @ Xb ) )
& ( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( s_col @ Xp @ Xq @ ( il @ Xa @ Xb @ Xp @ Xq ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(218,plain,
( ( ! [Xp: $i,Xq: $i,Xp1: $i,Xq1: $i,X: $i] :
( ( ~ ( perp @ Xp @ Xq @ Xp1 @ Xq1 )
| ( perpAt @ Xp @ Xq @ ( il @ Xp @ Xq @ Xp1 @ Xq1 ) @ Xp1 @ Xq1 ) )
& ( ( perp @ Xp @ Xq @ Xp1 @ Xq1 )
| ~ ( perpAt @ Xp @ Xq @ X @ Xp1 @ Xq1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(219,plain,
( ( ! [Y: $i,Z: $i,X: $i,Y1: $i,Z1: $i,U: $i,V: $i] :
( ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( s_col @ Y @ Z @ X ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( s_col @ Y1 @ Z1 @ X ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y != Z ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y1 != Z1 ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ U )
| ~ ( s_col @ Y1 @ Z1 @ V )
| ( s_r @ U @ X @ V ) )
& ( ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y = Z )
| ( Y1 = Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X )
| ( s_col @ Y @ Z @ ( f811 @ Y @ Z @ Y1 @ Z1 @ X ) ) )
& ( ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y = Z )
| ( Y1 = Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X )
| ( s_col @ Y1 @ Z1 @ ( g811 @ Y @ Z @ Y1 @ Z1 @ X ) ) )
& ( ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y = Z )
| ( Y1 = Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X )
| ~ ( s_r @ ( f811 @ Y @ Z @ Y1 @ Z1 @ X ) @ X @ ( g811 @ Y @ Z @ Y1 @ Z1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(220,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) ) )
& ( ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(221,plain,
( ( ! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xa1 @ Xc @ Xa2 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xb1 @ Xc @ Xb2 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_e @ Xc @ Xa1 @ Xc @ Xb1 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_e @ Xc @ Xa2 @ Xc @ Xb2 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_m @ Xa1 @ Xm1 @ Xb1 ) )
& ( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_m @ Xa2 @ Xm2 @ Xb2 ) )
& ( ~ ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 )
| ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(222,plain,
( ( ! [Xa: $i,Xm: $i,Xb: $i] :
( ( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_t @ Xa @ Xm @ Xb ) )
& ( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_e @ Xm @ Xa @ Xm @ Xb ) )
& ( ~ ( s_t @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb )
| ( s_m @ Xa @ Xm @ Xb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(223,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xa != Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xb != Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xp @ Xa @ Xb )
| ( s_t @ Xp @ Xb @ Xa ) )
& ( ~ ( s_t @ Xp @ Xa @ Xb )
| ( Xa = Xp )
| ( xb = Xp )
| ( sameside @ Xa @ Xp @ Xb ) )
& ( ~ ( s_t @ Xp @ Xb @ Xa )
| ( Xa = Xp )
| ( Xb = Xp )
| ( sameside @ Xa @ Xp @ Xb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(224,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Y: $i] :
( ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_t @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) )
& ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ Xb @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) ) )
& ( ~ ( s_t @ Xc @ Y @ Xd )
| ~ ( s_e @ Xa @ Xb @ Xc @ Y )
| ( le @ Xa @ Xb @ Xc @ Xd ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(225,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_col @ Xa @ Xb @ Xc ) )
& ( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) )
& ( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xa @ Xd @ Xa1 @ Xd1 ) )
& ( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) )
& ( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xd @ Xa1 @ Xd1 )
| ~ ( s_e @ Xb @ Xd @ Xb1 @ Xd1 )
| ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(226,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xb @ Xc )
| ( s_t @ Xb @ Xc @ Xa )
| ( s_t @ Xc @ Xa @ Xb ) )
& ( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc ) )
& ( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xa ) )
& ( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xc @ Xa @ Xb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(227,plain,
( ( ! [Xa1: $i,Xa2: $i,Xa3: $i,Xb1: $i,Xb2: $i,Xb3: $i] :
( ( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 ) )
& ( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 ) )
& ( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 ) )
& ( ~ ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 )
| ~ ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 )
| ~ ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 )
| ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(228,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Za: $i,Zb: $i,Zc: $i,Zd: $i] :
( ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Xa @ Xb @ Xc ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Za @ Zb @ Zc ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xc @ Za @ Zc ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xc @ Zb @ Zc ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xd @ Za @ Zd ) )
& ( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xc @ Xd @ Zc @ Zd ) )
& ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Za @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xc @ Za @ Zc )
| ~ ( s_e @ Xb @ Xc @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xd @ Za @ Zd )
| ~ ( s_e @ Xc @ Xd @ Zc @ Zd )
| ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(229,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Za: $i,Zb: $i,Zc: $i,Zd: $i] :
( ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Xa @ Xb @ Xc ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Za @ Zb @ Zc ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xb @ Za @ Zb ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xc @ Zb @ Zc ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xd @ Za @ Zd ) )
& ( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xd @ Zb @ Zd ) )
& ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Za @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xb @ Za @ Zb )
| ~ ( s_e @ Xb @ Xc @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xd @ Za @ Zd )
| ~ ( s_e @ Xb @ Xd @ Zb @ Zd )
| ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(230,plain,
( ( ! [Xa: $i,Xb: $i,Xa1: $i,Xc1: $i] :
( ( insert @ Xa @ Xb @ Xa1 @ Xc1 )
= ( ext @ ( ext @ Xc1 @ Xa1 @ alpha @ gamma ) @ Xa1 @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(231,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(232,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(233,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ( Xb
!= ( midpoint @ Xc @ Xc1 ) )
| ( Xc = Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(234,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(235,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ( s_e @ Xp @ Xq @ ( reflect @ Xa @ Xb @ Xp ) @ ( reflect @ Xa @ Xb @ Xq ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(236,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ( s_e @ Xp @ Xq @ ( reflect @ Xa @ Xb @ Xp ) @ ( reflect @ Xa @ Xb @ Xq ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(237,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ( ( reflect @ Xa @ Xb @ Xp )
= Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(238,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp )
| ( s_col @ Xa @ Xb @ Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(239,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= ( reflect @ Xa @ Xb @ Xq ) )
| ( Xp = Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(240,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(241,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
= Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(242,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(243,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) )
| ~ ( perp @ Xa @ Xb @ Xp @ Xp1 )
| ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) ) )
& ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) )
| ( Xp != Xp1 )
| ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(244,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ ( reflect @ Xa @ Xb @ Xp ) ) ) )
& ( ( Xa = Xb )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp ) )
| ( perp @ Xa @ Xb @ Xp @ ( reflect @ Xa @ Xb @ Xp ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(245,plain,
( ( ! [Xc: $i,Xd: $i,Xp: $i,Xa: $i,Xb: $i] :
( ( Xc = Xd )
| ~ ( s_col @ Xc @ Xd @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_col @ Xc @ Xd @ Xa )
| ( samesideline @ Xa @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(246,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i] :
( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( sameside @ Xa @ Xq @ Xr )
| ( samesideline @ Xr @ Xb @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(247,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( opposite @ Xr @ Xp @ Xq @ Xcs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(248,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( Xp
= ( foot @ Xp @ Xq @ Xr ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(249,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( Xp
!= ( foot @ Xp @ Xq @ Xr ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(250,plain,
( ( ! [Xp: $i,Xq: $i,Xc: $i,Xa: $i,Xb: $i] :
( ( Xp = Xq )
| ~ ( perpAt @ Xp @ Xq @ Xc @ Xa @ Xc )
| ~ ( perpAt @ Xp @ Xq @ Xc @ Xb @ Xc )
| ( Xa = Xc )
| ( s_col @ Xc @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(251,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xb: $i,Xc: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( samesideline @ Xb @ Xc @ Xp @ Xq )
| ( opposite @ Xa @ Xp @ Xq @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(252,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xq @ Xp @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(253,plain,
( ( ! [Xd: $i,Xe: $i,Xd1: $i,Xa: $i,Xb: $i] :
( ( Xd = Xe )
| ~ ( s_t @ Xe @ Xd @ Xd1 )
| ~ ( samesideline @ Xa @ Xb @ Xd1 @ Xe )
| ( samesideline @ Xa @ Xb @ Xd @ Xe ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(254,plain,
( ( ! [Xa: $i,Xb: $i,U: $i,V: $i,W: $i] :
( ( Xa = Xb )
| ~ ( s_m @ U @ V @ W )
| ~ ( s_col @ Xa @ Xb @ U )
| ~ ( s_col @ Xa @ Xb @ W )
| ( s_col @ Xa @ Xb @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(255,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i,Xb: $i] :
( ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xp @ Xq @ Xb @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(256,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i,Xb: $i,Xc: $i] :
( ( Xp = Xq )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( samesideline @ Xb @ Xc @ Xp @ Xq )
| ( samesideline @ Xa @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(257,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(258,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(259,plain,
( ( ! [Xa: $i,Xc: $i,Xp: $i,Xb: $i,Xq: $i] :
( ( ~ ( s_t @ Xa @ Xc @ Xp )
| ~ ( s_t @ Xb @ Xq @ Xc )
| ( s_t @ Xa @ ( op @ Xq @ Xb @ Xp @ Xc @ Xa ) @ Xb ) )
& ( ~ ( s_t @ Xa @ Xc @ Xp )
| ~ ( s_t @ Xb @ Xq @ Xc )
| ( s_t @ Xp @ Xq @ ( op @ Xq @ Xb @ Xp @ Xc @ Xa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(260,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xr: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(261,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i,V: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ~ ( sameside @ V @ Xcs @ Xc )
| ( opposite @ U @ Xp @ Xq @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(262,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(263,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ( Xr != Xcs )
| ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(264,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ( sameside @ U @ Xr @ Xa )
| ~ ( le @ Xcs @ Xc @ Xr @ Xa )
| ( Xr = Xcs )
| ~ ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(265,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ~ ( le @ Xcs @ Xc @ Xr @ Xa )
| ( Xr = Xcs )
| ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(266,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xm: $i] :
( ~ ( sameside @ Xa @ Xb @ Xc )
| ( sameside @ ( s @ Xm @ Xa ) @ ( s @ Xm @ Xb ) @ ( s @ Xm @ Xc ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(267,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xm: $i,Xr: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xm )
| ~ ( s_m @ Xa @ Xm @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(268,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xm: $i,Xr: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xm )
| ~ ( s_m @ Xa @ Xm @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( s_t @ Xr @ Xb @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(269,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(270,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xp @ Xq @ Xb @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(271,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( Xa = Xc )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xp @ Xq @ Xa @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(272,plain,
( ( ~ ( s_col @ xa @ xb @ xp )
| ~ ( s_col @ xa @ xb @ xq )
| ( xp = xq )
| ( xa = xb )
| ( perp @ xc @ xd @ xp @ xq )
| ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(273,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i] :
( ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xp = Xq )
| ( Xa = Xb )
| ( perp @ Xp @ Xq @ Xc @ Xd )
| ~ ( perp @ Xa @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(274,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xa @ Xb @ Xq @ Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(275,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( Xa = Xb )
| ( Xa = Xc )
| ( Xb = Xc )
| ( Xd = Xc )
| ( Xa = Xd )
| ~ ( perp @ Xb @ Xa @ Xa @ Xc )
| ~ ( s_col @ Xa @ Xc @ Xd )
| ( perp @ Xb @ Xa @ Xa @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(276,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i] :
( ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xp = Xq )
| ( Xa = Xb )
| ~ ( perp @ Xp @ Xq @ Xc @ Xd )
| ( perp @ Xa @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(277,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i,Xc: $i,Xd: $i] :
( ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xp = Xq )
| ( Xa = Xb )
| ~ ( perpAt @ Xp @ Xq @ Xr @ Xc @ Xd )
| ( perpAt @ Xa @ Xb @ Xr @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(278,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ( Xa = Xb )
| ( s_col @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(279,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i] :
( ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr )
| ( s_m @ Xp @ ( midpoint @ Xa @ Xb ) @ Xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(280,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i,Xcx: $i] :
( ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr )
| ( Xcx
!= ( ip @ Xp @ Xt @ Xq @ Xb @ Xr ) )
| ( s_m @ Xp @ Xcx @ Xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(281,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i,Xcx: $i] :
( ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr )
| ( Xcx
!= ( ip @ Xp @ Xt @ Xq @ Xb @ Xr ) )
| ( s_m @ Xa @ Xcx @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(282,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_m @ Xa @ ( midpoint @ Xa @ Xb ) @ Xb ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(283,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xq: $i,Xt: $i] :
( ~ ( le @ Xa @ Xp @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xa @ Xp )
| ~ ( perp @ Xa @ Xb @ Xb @ Xq )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ( s_m @ Xa @ ( midpointAux @ Xa @ Xb @ Xp @ Xq @ Xt ) @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(284,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( ( Xa = Xb )
| ( perp @ Xa @ Xb @ ( erect @ Xa @ Xb @ Xc ) @ Xa ) )
& ( ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( erectAux @ Xa @ Xb @ Xc ) ) )
& ( ( Xa = Xb )
| ( s_t @ Xc @ ( erectAux @ Xa @ Xb @ Xc ) @ ( erect @ Xa @ Xb @ Xc ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(285,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( ( Xa = Xb )
| ( perp @ Xa @ Xb @ ( erect21a @ Xa @ Xb @ Xc ) @ Xa )
| ( s_col @ Xa @ Xb @ Xc ) )
& ( ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( erectAux21a @ Xa @ Xb @ Xc ) )
| ( s_col @ Xa @ Xb @ Xc ) )
& ( ( Xa = Xb )
| ( s_t @ Xc @ ( erectAux21a @ Xa @ Xb @ Xc ) @ ( erect21a @ Xa @ Xb @ Xc ) )
| ( s_col @ Xa @ Xb @ Xc ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(286,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xp: $i] :
( ( Xa = Xb )
| ( Xc = Xd )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( s_col @ Xc @ Xd @ Xp )
| ( s_col @ Xa @ Xb @ Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(287,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xb @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(288,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_m @ ( s @ Xa @ Xc ) @ Xp @ ( s @ Xb @ Xc ) )
| ( Xb = Xc )
| ( Xa != Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(289,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_m @ ( s @ Xa @ Xc ) @ Xp @ ( s @ Xb @ Xc ) )
| ( s_r @ Xb @ Xa @ Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(290,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xa @ Xb @ ( foot @ Xa @ Xb @ Xc ) ) )
& ( ( s_col @ Xa @ Xb @ Xc )
| ( perp @ Xa @ Xb @ Xc @ ( foot @ Xa @ Xb @ Xc ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(291,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp )
| ~ ( perp @ Xa @ Xb @ Xc @ Xq )
| ( Xp = Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(292,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xq = Xp )
| ( perp @ Xa @ Xb @ Xc @ Xp )
| ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(293,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xq = Xp )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp ) )
& ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ( Xq = Xp )
| ( s_r @ Xc @ Xp @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(294,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( perp @ Xa @ Xb @ Xc @ Xd )
| ( perpAt @ Xa @ Xb @ Xd @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(295,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
= ( il @ Xa @ Xb @ Xp @ Xq ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(296,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xc )
| ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(297,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(298,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xcx: $i,U: $i,V: $i] :
( ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcx )
| ~ ( s_col @ Xa @ Xb @ Xcx )
| ~ ( s_col @ Xa @ Xb @ U )
| ~ ( s_col @ Xp @ Xq @ V )
| ( Xcx = U )
| ( Xcx = V )
| ~ ( s_r @ U @ Xcx @ V )
| ( perpAt @ Xa @ Xb @ Xcx @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(299,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xa != Xb ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xp != Xq ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xc ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xa @ Xb @ Xc ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xa @ Xb @ ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
!= ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
!= ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_r @ ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) @ Xc @ ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(300,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xp @ Xq @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(301,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( perpAt @ Xp @ Xq @ Xc @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(302,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ( s_r @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(303,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( Xc = Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(304,plain,
( ( ! [Xa: $i,Xb: $i] :
( ~ ( s_r @ Xa @ Xb @ Xa )
| ( Xa = Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(305,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa @ Xc @ Xb )
| ( Xb = Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(306,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xa1 )
| ( Xb = Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(307,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_r @ Xa @ Xb @ Xb ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(308,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_r @ Xa @ Xb @ ( s @ Xb @ Xc ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(309,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ~ ( s_col @ Xb @ Xa @ Xa1 )
| ( s_r @ Xa1 @ Xb @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(310,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_r @ Xc @ Xb @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(311,plain,
( ( ! [Xc: $i,Xa: $i,Xb: $i] :
( ~ ( s_e @ Xc @ Xa @ Xc @ Xb )
| ( s_m @ Xa @ ( isomidpoint @ Xa @ Xb @ Xc ) @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(312,plain,
( ( ! [Xa1: $i,Xc: $i,Xa2: $i,Xb1: $i,Xb2: $i,Xm1: $i,Xm2: $i] :
( ~ ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 )
| ( s_t @ Xm1 @ Xc @ Xm2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(313,plain,
( ( ! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xm1 @ Xc @ Xm2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(314,plain,
( ( ! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xm1 @ Xc @ Xm2 )
| ~ ( le @ Xc @ Xa1 @ Xc @ Xa2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(315,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xp: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( Xb = Xd )
| ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xb @ Xc @ Xd @ Xa )
| ~ ( s_col @ Xa @ Xp @ Xc )
| ~ ( s_col @ Xb @ Xp @ Xd )
| ( s_m @ Xa @ Xp @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(316,plain,
( ( ! [Xa: $i,Xm: $i,Xb: $i] :
( ~ ( s_col @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb )
| ( Xa = Xb )
| ( s_m @ Xa @ Xm @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(317,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( ( s @ Xa @ ( s @ Xb @ Xp ) )
!= ( s @ Xb @ ( s @ Xa @ Xp ) ) )
| ( Xa = Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(318,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xb @ Xp ) )
| ( Xa = Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(319,plain,
( ( ! [Xp: $i,Xa: $i,Xq: $i,Xb: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ~ ( s_m @ Xp @ Xb @ Xq )
| ( Xa = Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(320,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i,Xa: $i] :
( ( s_e @ Xp @ Xq @ Xr @ Xcs )
| ~ ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(321,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i,Xa: $i] :
( ~ ( s_e @ Xp @ Xq @ Xr @ Xcs )
| ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(322,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_t @ Xp @ Xq @ Xr )
| ~ ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(323,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ~ ( s_t @ Xp @ Xq @ Xr )
| ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(324,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i] : ( s_e @ Xp @ Xq @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(325,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( ( s @ Xa @ Xp )
= Xp )
| ( Xp != Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(326,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( ( s @ Xa @ Xp )
!= Xp )
| ( Xp = Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(327,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xa @ Xq ) )
| ( Xp = Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(328,plain,
( ( ! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= Xr )
| ( ( s @ Xa @ Xq )
!= Xr )
| ( Xp = Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(329,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( s @ Xa @ ( s @ Xa @ Xp ) )
= Xp ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(330,plain,
( ( ! [Xp: $i,Xa: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xq
= ( s @ Xa @ Xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(331,plain,
( ( ! [Xp: $i,Xa: $i,Xr: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xr )
| ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xr = Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(332,plain,
( ( ! [Xp: $i,Xa: $i] : ( s_m @ Xp @ Xa @ ( s @ Xa @ Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(333,plain,
( ( ! [Xa: $i,Xm: $i] :
( ( s_m @ Xa @ Xm @ Xa )
| ( Xm != Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(334,plain,
( ( ! [Xa: $i,Xm: $i] :
( ~ ( s_m @ Xa @ Xm @ Xa )
| ( Xm = Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(335,plain,
( ( ! [Xa: $i,Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_m @ Xb @ Xm @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(336,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( sameside @ Xa @ Xb @ Xc )
| ~ ( sameside @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xb @ Xa @ Xb1 @ Xa1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(337,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( pointOffLine @ Xa @ Xb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(338,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i,Xe: $i] :
( ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( s_col @ Xp @ Xq @ Xd )
| ( Xc = Xd )
| ~ ( s_col @ Xa @ Xb @ Xe )
| ( s_col @ Xp @ Xq @ Xe ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(339,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i] :
( ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xa )
| ~ ( s_col @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xa @ Xb @ Xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(340,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xq @ Xp @ Xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(341,plain,
( ( ! [Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(342,plain,
( ( ! [Xp: $i,Xq: $i,Xcs: $i,Xr: $i] :
( ( Xp = Xq )
| ( Xcs = Xp )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ( s_col @ Xp @ Xcs @ Xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(343,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( Xa = Xb )
| ~ ( s_t @ Xc @ Xa @ Xb )
| ~ ( s_t @ Xd @ Xa @ Xb )
| ( s_t @ Xd @ Xc @ Xb )
| ( s_t @ Xc @ Xd @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(344,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ( Xa != Xp )
| ( s_col @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(345,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( sameside @ Xa @ Xp @ Xr )
| ( s_col @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(346,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( sameside @ Xa @ Xp @ Xq )
| ( s_col @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(347,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( s_col @ Xa @ Xp @ Xq )
| ( Xa = Xp )
| ( sameside @ Xa @ Xp @ Xq )
| ( sameside @ Xa @ Xp @ Xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(348,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( le @ Xp @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xp @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(349,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( le @ Xp @ Xa @ Xp @ Xb )
| ( s_t @ Xp @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(350,plain,
( ( ! [Xr: $i,Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( Xr = Xa )
| ( Xb = Xc )
| ~ ( sameside @ Xp @ Xa @ Xr )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xc )
| ~ ( sameside @ Xq @ Xa @ Xr )
| ~ ( s_e @ Xa @ Xq @ Xb @ Xc )
| ( Xp = Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(351,plain,
( ( ! [Xr: $i,Xa: $i,Xb: $i,Xc: $i] :
( ( ( Xr = Xa )
| ( Xb = Xc )
| ( sameside @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xa @ Xr ) )
& ( ( Xr = Xa )
| ( Xb = Xc )
| ( s_e @ Xa @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xb @ Xc ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(352,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( sameside @ Xb @ Xp @ Xc )
| ( sameside @ Xa @ Xp @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(353,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( sameside @ Xb @ Xp @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(354,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( Xa = Xp )
| ( sameside @ Xa @ Xp @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(355,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_col @ Xa @ Xp @ Xb )
| ( s_t @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(356,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_col @ Xa @ Xp @ Xb ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xa @ Xp @ Xb ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(357,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ( Xa = Xp )
| ( Xb = Xp )
| ( Xc = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xp @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(358,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xa != Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xb != Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( ( c63 @ Xa @ Xp @ Xb )
!= Xp ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xa @ Xp @ ( c63 @ Xa @ Xp @ Xb ) ) )
& ( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xb @ Xp @ ( c63 @ Xa @ Xp @ Xb ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(359,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( Xa = Xp )
| ( Xb = Xp )
| ( Xc = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ( s_t @ Xb @ Xp @ Xc )
| ~ ( sameside @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(360,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( Xa = Xp )
| ( Xb = Xp )
| ( Xc = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xp @ Xc )
| ( sameside @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(361,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xb @ Xc )
| ~ ( le @ Xa @ Xb @ Xa @ Xc )
| ~ ( le @ Xb @ Xc @ Xa @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(362,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xb )
| ( Xc = Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(363,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ( le @ Xb @ Xc @ Xa @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(364,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ( le @ Xa @ Xb @ Xa @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(365,plain,
( ( ! [Xa: $i,Xc: $i,Xd: $i] : ( le @ Xa @ Xa @ Xc @ Xd ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(366,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( le @ Xa @ Xb @ Xc @ Xd )
| ( le @ Xc @ Xd @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(367,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xc @ Xd @ Xa @ Xb )
| ( s_e @ Xa @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(368,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xc @ Xd @ Xe @ Xf )
| ( le @ Xa @ Xb @ Xe @ Xf ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(369,plain,
( ( ! [Xa: $i,Xb: $i] : ( le @ Xa @ Xb @ Xa @ Xb ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(370,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xc @ Xd @ Xc1 @ Xd1 )
| ( le @ Xa1 @ Xb1 @ Xc1 @ Xd1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(371,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i] :
( ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xe )
| ~ ( s_e @ Xa @ Xe @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(372,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ ( ins @ Xc @ Xd @ Xa @ Xb ) ) )
& ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ ( ins @ Xc @ Xd @ Xa @ Xb ) @ Xc @ Xd ) )
& ( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( ( ins @ Xc @ Xd @ Xa @ Xb )
= ( ext @ Xa @ Xb @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(373,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xa @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xc @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(374,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( Xa = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ( s_t @ Xb @ Xc @ Xd )
| ( s_t @ Xb @ Xd @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(375,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( Xa = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ( s_t @ Xa @ Xc @ Xd )
| ( s_t @ Xa @ Xd @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(376,plain,
( ( ! [Xa: $i,Xc: $i,Xb: $i,Xc1: $i] :
( ~ ( s_t @ Xa @ Xc @ Xb )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
| ( Xc = Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(377,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xc1: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 )
| ( Xc = Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(378,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xp @ Xa @ Xq )
| ~ ( s_e @ Xb @ Xp @ Xb @ Xq )
| ( s_e @ Xc @ Xp @ Xc @ Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(379,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( Xa = Xb )
| ( s_e @ Xc @ Xd @ Xc1 @ Xd1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(380,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ ( insert5 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(381,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ( s_col @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(382,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_col @ Xa @ Xb @ Xa ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(383,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_col @ Xa @ Xa @ Xb ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(384,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xa @ Xc @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(385,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xb @ Xa @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(386,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xc @ Xb @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(387,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xc @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(388,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xb @ Xc @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(389,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ( s_t @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(390,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ( s_t @ Xa1 @ ( insert @ Xa @ Xb @ Xa1 @ Xc1 ) @ Xc1 ) )
& ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ ( insert @ Xa @ Xb @ Xa1 @ Xc1 ) @ Xc1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(391,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 )
| ( s_e @ Xa @ Xb @ Xa1 @ Xb1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(392,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(393,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xp: $i] :
( ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc )
| ~ ( s_t @ Xa @ Xp @ Xa1 )
| ( s_t @ Xp @ ( crossbar @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xp ) @ Xc ) )
& ( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc )
| ~ ( s_t @ Xa @ Xp @ Xa1 )
| ( s_t @ Xb @ ( crossbar @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xp ) @ Xb1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(394,plain,
( ( ! [Xb: $i,Xa: $i] :
( Xb
!= ( ext @ Xa @ Xb @ alpha @ gamma ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(395,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_t @ Xa @ Xb @ ( ext @ Xa @ Xb @ alpha @ gamma ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(396,plain,
( ( alpha != gamma )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(397,plain,
( ( beta != gamma )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(398,plain,
( ( alpha != beta )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(399,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xd )
| ( Xb = Xc )
| ( s_t @ Xa @ Xb @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(400,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(401,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xb @ Xc @ Xd )
| ( s_t @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(402,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xd )
| ( Xb = Xc )
| ( s_t @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(403,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xd )
| ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(404,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xb @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(405,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xa @ Xc )
| ( Xa = Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(406,plain,
( ( ! [Xa1: $i,Xb1: $i] : ( s_t @ Xa1 @ Xa1 @ Xb1 ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(407,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ( s_t @ Xc @ Xb @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(408,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_t @ Xa @ Xb @ Xb ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(409,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,XA: $i,XB: $i,XC: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ XA @ XB @ XC )
| ~ ( s_e @ Xa @ Xb @ XB @ XC )
| ~ ( s_e @ Xb @ Xc @ XA @ XB )
| ( s_e @ Xa @ Xc @ XA @ XC ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(410,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xb @ Xa @ Xd @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(411,plain,
( ( ! [Xb: $i,Xc: $i,Xa: $i] :
( ~ ( s_e @ Xb @ Xc @ Xa @ Xa )
| ( Xb = Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(412,plain,
( ( ! [Xq: $i,Xa: $i,Xd: $i,Xb: $i,Xc: $i] :
( ( Xq = Xa )
| ~ ( s_t @ Xq @ Xa @ Xd )
| ~ ( s_e @ Xa @ Xd @ Xb @ Xc )
| ( Xd
= ( ext @ Xq @ Xa @ Xb @ Xc ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(413,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(414,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_e @ Xa @ Xa @ Xb @ Xb ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(415,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ Xb @ Xd @ Xc ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(416,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xb @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(417,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xc @ Xd @ Xe @ Xf )
| ( s_e @ Xa @ Xb @ Xe @ Xf ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(418,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xc @ Xd @ Xa @ Xb ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(419,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_e @ Xa @ Xb @ Xa @ Xb ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(420,plain,
( ( ~ ( s_t @ alpha @ beta @ gamma )
& ~ ( s_t @ beta @ gamma @ alpha )
& ~ ( s_t @ gamma @ alpha @ beta ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(421,plain,
( ( ! [Xa: $i,Xp: $i,Xc: $i,Xb: $i,Xq: $i] :
( ( ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xq @ Xc )
| ( s_t @ Xp @ ( ip @ Xa @ Xp @ Xc @ Xb @ Xq ) @ Xb ) )
& ( ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xq @ Xc )
| ( s_t @ Xq @ ( ip @ Xa @ Xp @ Xc @ Xb @ Xq ) @ Xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(422,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( s_t @ X @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(423,plain,
( ( ! [X: $i,Y: $i,X1: $i,Y1: $i,Z: $i,Z1: $i,V: $i,V1: $i] :
( ~ ( s_e @ X @ Y @ X1 @ Y1 )
| ~ ( s_e @ Y @ Z @ Y1 @ Z1 )
| ~ ( s_e @ X @ V @ X1 @ V1 )
| ~ ( s_e @ Y @ V @ Y1 @ V1 )
| ~ ( s_t @ X @ Y @ Z )
| ~ ( s_t @ X1 @ Y1 @ Z1 )
| ( X = Y )
| ( s_e @ Z @ V @ Z1 @ V1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(424,plain,
( ( ! [X: $i,Y: $i,W: $i,V: $i] :
( ( s_t @ X @ Y @ ( ext @ X @ Y @ W @ V ) )
& ( s_e @ Y @ ( ext @ X @ Y @ W @ V ) @ W @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(425,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( s_e @ X @ Y @ Z @ Z )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(426,plain,
( ( ! [X: $i,Y: $i,Z: $i,V: $i,Z2: $i,V2: $i] :
( ~ ( s_e @ X @ Y @ Z @ V )
| ~ ( s_e @ X @ Y @ Z2 @ V2 )
| ( s_e @ Z @ V @ Z2 @ V2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(427,plain,
( ( ! [X: $i,Y: $i] : ( s_e @ X @ Y @ Y @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(428,plain,
( ( ! [SY900: $i,SY901: $i,SY902: $i] :
( ( sK1_Xa = SY900 )
| ( ( reflect @ sK1_Xa @ SY900 @ SY901 )
!= SY902 )
| ( s_col @ sK1_Xa @ SY900 @ SY901 )
| ( opposite @ SY901 @ sK1_Xa @ SY900 @ SY902 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[215]) ).
thf(429,plain,
( ( ! [SY903: $i,SY904: $i] :
( ( sK1_Xa = sK2_SY900 )
| ( ( reflect @ sK1_Xa @ sK2_SY900 @ SY903 )
!= SY904 )
| ( s_col @ sK1_Xa @ sK2_SY900 @ SY903 )
| ( opposite @ SY903 @ sK1_Xa @ sK2_SY900 @ SY904 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[428]) ).
thf(430,plain,
( ( ! [SY905: $i] :
( ( sK1_Xa = sK2_SY900 )
| ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= SY905 )
| ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
| ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ SY905 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[429]) ).
thf(431,plain,
( ( ( sK1_Xa = sK2_SY900 )
| ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
| ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[430]) ).
thf(432,plain,
( ( ~ ( ( sK1_Xa = sK2_SY900 )
| ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
| ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[431]) ).
thf(433,plain,
( ( ~ ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 )
& ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
& ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
= sK4_SY905 )
& ( sK1_Xa != sK2_SY900 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[432]) ).
thf(434,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xu: $i] :
( ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_t @ Xa @ ( ss1 @ Xa @ Xb @ Xp @ Xq ) @ ( ss3 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_t @ Xb @ ( ss2 @ Xa @ Xb @ Xp @ Xq ) @ ( ss3 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xa
!= ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xb
!= ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( ( ss3 @ Xa @ Xb @ Xp @ Xq )
!= ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( ( ss3 @ Xa @ Xb @ Xp @ Xq )
!= ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xp != Xq ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xp @ Xq @ Xa ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xp @ Xq @ Xb ) )
& ( ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xb )
| ( s_col @ Xp @ Xq @ Xa )
| ! [Xc: $i,Xv: $i] :
( ( Xb = Xv )
| ( Xa = Xu )
| ( Xc = Xv )
| ( Xc = Xu )
| ( Xp = Xq )
| ~ ( s_t @ Xa @ Xu @ Xc )
| ~ ( s_t @ Xb @ Xv @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xu )
| ~ ( s_col @ Xp @ Xq @ Xv ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[216]) ).
thf(435,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i] :
( ! [Xb: $i] :
( ( opposite @ Xa @ Xp @ Xq @ Xb )
| ! [Xt: $i] :
( ( s_col @ Xp @ Xq @ Xb )
| ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xa )
| ~ ( s_t @ Xa @ Xt @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xt ) ) )
& ( ! [Xb: $i] :
~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xa ) )
& ! [Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xb ) )
& ! [Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( s_t @ Xa @ ( il @ Xa @ Xb @ Xp @ Xq ) @ Xb ) )
& ! [Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( s_col @ Xp @ Xq @ ( il @ Xa @ Xb @ Xp @ Xq ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[217]) ).
thf(436,plain,
( ( ! [Xp: $i,Xq: $i,Xp1: $i] :
( ! [Xq1: $i] :
( ~ ( perp @ Xp @ Xq @ Xp1 @ Xq1 )
| ( perpAt @ Xp @ Xq @ ( il @ Xp @ Xq @ Xp1 @ Xq1 ) @ Xp1 @ Xq1 ) )
& ! [Xq1: $i] :
( ( perp @ Xp @ Xq @ Xp1 @ Xq1 )
| ! [X: $i] :
~ ( perpAt @ Xp @ Xq @ X @ Xp1 @ Xq1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[218]) ).
thf(437,plain,
( ( ! [Y: $i,Z: $i,X: $i,Y1: $i,Z1: $i] :
( ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( s_col @ Y @ Z @ X ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( s_col @ Y1 @ Z1 @ X ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y != Z ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y1 != Z1 ) )
& ! [U: $i,V: $i] :
( ( s_r @ U @ X @ V )
| ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ U )
| ~ ( s_col @ Y1 @ Z1 @ V ) )
& ( ( s_col @ Y @ Z @ ( f811 @ Y @ Z @ Y1 @ Z1 @ X ) )
| ( Y1 = Z1 )
| ( Y = Z )
| ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X ) )
& ( ( s_col @ Y1 @ Z1 @ ( g811 @ Y @ Z @ Y1 @ Z1 @ X ) )
| ( Y1 = Z1 )
| ( Y = Z )
| ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X ) )
& ( ( Y1 = Z1 )
| ( Y = Z )
| ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X )
| ~ ( s_r @ ( f811 @ Y @ Z @ Y1 @ Z1 @ X ) @ X @ ( g811 @ Y @ Z @ Y1 @ Z1 @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(438,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) ) )
& ! [Xb: $i,Xc: $i] :
( ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(439,plain,
( ( ! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i] :
( ! [Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xa1 @ Xc @ Xa2 ) )
& ( ! [Xm2: $i,Xa2: $i] :
~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xb1 @ Xc @ Xb2 ) )
& ( ! [Xm2: $i,Xa2: $i] :
~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_e @ Xc @ Xa1 @ Xc @ Xb1 ) )
& ! [Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_e @ Xc @ Xa2 @ Xc @ Xb2 ) )
& ( ! [Xm2: $i,Xa2: $i] :
~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_m @ Xa1 @ Xm1 @ Xb1 ) )
& ! [Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_m @ Xa2 @ Xm2 @ Xb2 ) )
& ! [Xm2: $i,Xa2: $i] :
( ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ~ ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[221]) ).
thf(440,plain,
( ( ! [Xa: $i] :
( ! [Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_t @ Xa @ Xm @ Xb ) )
& ! [Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_e @ Xm @ Xa @ Xm @ Xb ) )
& ! [Xm: $i,Xb: $i] :
( ( s_m @ Xa @ Xm @ Xb )
| ~ ( s_t @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(441,plain,
( ( ! [Xa: $i] :
( ! [Xp: $i] :
( ! [Xb: $i] :
~ ( sameside @ Xa @ Xp @ Xb )
| ( Xa != Xp ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xb != Xp ) )
& ! [Xp: $i,Xb: $i] :
( ( s_t @ Xp @ Xb @ Xa )
| ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xp @ Xa @ Xb ) )
& ! [Xp: $i,Xb: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ( xb = Xp )
| ~ ( s_t @ Xp @ Xa @ Xb )
| ( Xa = Xp ) )
& ! [Xp: $i,Xb: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ( Xb = Xp )
| ~ ( s_t @ Xp @ Xb @ Xa )
| ( Xa = Xp ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[223]) ).
thf(442,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ! [Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_t @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) )
& ! [Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ Xb @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) ) )
& ! [Xd: $i] :
( ( le @ Xa @ Xb @ Xc @ Xd )
| ! [Y: $i] :
( ~ ( s_t @ Xc @ Y @ Xd )
| ~ ( s_e @ Xa @ Xb @ Xc @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[224]) ).
thf(443,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i] :
( ( ! [Xc1: $i,Xd1: $i] :
~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_col @ Xa @ Xb @ Xc ) )
& ! [Xc1: $i] :
( ! [Xd1: $i] :
~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) )
& ! [Xc1: $i,Xd1: $i] :
( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xa @ Xd @ Xa1 @ Xd1 ) )
& ! [Xc1: $i,Xd1: $i] :
( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) )
& ! [Xc1: $i,Xd1: $i] :
( ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xd @ Xa1 @ Xd1 )
| ~ ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[225]) ).
thf(444,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ( s_t @ Xc @ Xa @ Xb )
| ( s_t @ Xb @ Xc @ Xa )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xb @ Xc ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xa ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xc @ Xa @ Xb ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(445,plain,
( ( ! [Xa1: $i,Xa2: $i,Xa3: $i,Xb1: $i] :
( ! [Xb2: $i] :
( ! [Xb3: $i] :
~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 ) )
& ! [Xb2: $i,Xb3: $i] :
( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 ) )
& ! [Xb2: $i,Xb3: $i] :
( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 ) )
& ! [Xb2: $i,Xb3: $i] :
( ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ~ ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 )
| ~ ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 )
| ~ ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[227]) ).
thf(446,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Za: $i,Zb: $i] :
( ( ! [Zc: $i,Zd: $i] :
~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Xa @ Xb @ Xc ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Za @ Zb @ Zc ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xc @ Za @ Zc ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xc @ Zb @ Zc ) )
& ! [Zc: $i,Zd: $i] :
( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xd @ Za @ Zd ) )
& ! [Zc: $i,Zd: $i] :
( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xc @ Xd @ Zc @ Zd ) )
& ! [Zc: $i,Zd: $i] :
( ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Za @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xc @ Za @ Zc )
| ~ ( s_e @ Xb @ Xc @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xd @ Za @ Zd )
| ~ ( s_e @ Xc @ Xd @ Zc @ Zd ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[228]) ).
thf(447,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Za: $i,Zb: $i] :
( ( ! [Zc: $i,Zd: $i] :
~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Xa @ Xb @ Xc ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Za @ Zb @ Zc ) )
& ( ! [Zc: $i,Zd: $i] :
~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xb @ Za @ Zb ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xc @ Zb @ Zc ) )
& ! [Zc: $i,Zd: $i] :
( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xd @ Za @ Zd ) )
& ! [Zc: $i,Zd: $i] :
( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xd @ Zb @ Zd ) )
& ! [Zc: $i,Zd: $i] :
( ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Za @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xb @ Za @ Zb )
| ~ ( s_e @ Xb @ Xc @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xd @ Za @ Zd )
| ~ ( s_e @ Xb @ Xd @ Zb @ Zd ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[229]) ).
thf(448,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[231]) ).
thf(449,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[232]) ).
thf(450,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ( Xc = Xc1 )
| ( Xb
!= ( midpoint @ Xc @ Xc1 ) )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[233]) ).
thf(451,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[234]) ).
thf(452,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ! [Xp: $i,Xq: $i] : ( s_e @ Xp @ Xq @ ( reflect @ Xa @ Xb @ Xp ) @ ( reflect @ Xa @ Xb @ Xq ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[235]) ).
thf(453,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ! [Xq: $i] : ( s_e @ Xp @ Xq @ ( reflect @ Xa @ Xb @ Xp ) @ ( reflect @ Xa @ Xb @ Xq ) )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[236]) ).
thf(454,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( ( reflect @ Xa @ Xb @ Xp )
= Xp )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[237]) ).
thf(455,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( s_col @ Xa @ Xb @ Xp )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[238]) ).
thf(456,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( ( reflect @ Xa @ Xb @ Xp )
!= ( reflect @ Xa @ Xb @ Xq ) )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[239]) ).
thf(457,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xp
= ( reflect @ Xa @ Xb @ Xp1 ) )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[240]) ).
thf(458,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ! [Xp: $i] :
( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
= Xp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[241]) ).
thf(459,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[242]) ).
thf(460,plain,
( ( ! [Xa: $i,Xb: $i] :
( ! [Xp: $i,Xp1: $i] :
( ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) )
| ~ ( perp @ Xa @ Xb @ Xp @ Xp1 ) )
& ! [Xp: $i,Xp1: $i] :
( ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) )
| ( Xp != Xp1 )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[243]) ).
thf(461,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i] :
( ( Xa = Xb )
| ! [Xp: $i] : ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ ( reflect @ Xa @ Xb @ Xp ) ) ) )
& ! [Xb: $i,Xp: $i] :
( ( perp @ Xa @ Xb @ Xp @ ( reflect @ Xa @ Xb @ Xp ) )
| ( Xa = Xb )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[244]) ).
thf(462,plain,
( ( ! [Xc: $i,Xd: $i,Xp: $i,Xa: $i,Xb: $i] :
( ( samesideline @ Xa @ Xb @ Xc @ Xd )
| ( s_col @ Xc @ Xd @ Xa )
| ( Xc = Xd )
| ~ ( s_col @ Xc @ Xd @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( sameside @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[245]) ).
thf(463,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i] :
( ( samesideline @ Xr @ Xb @ Xp @ Xq )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( sameside @ Xa @ Xq @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[246]) ).
thf(464,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xcs )
| ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[247]) ).
thf(465,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( Xp
= ( foot @ Xp @ Xq @ Xr ) )
| ! [Xcs: $i] :
( ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xcs )
| ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[248]) ).
thf(466,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( Xp
!= ( foot @ Xp @ Xq @ Xr ) )
| ! [Xcs: $i] :
( ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xcs )
| ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[249]) ).
thf(467,plain,
( ( ! [Xp: $i,Xq: $i,Xc: $i,Xa: $i,Xb: $i] :
( ( s_col @ Xc @ Xa @ Xb )
| ( Xa = Xc )
| ( Xp = Xq )
| ~ ( perpAt @ Xp @ Xq @ Xc @ Xa @ Xc )
| ~ ( perpAt @ Xp @ Xq @ Xc @ Xb @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[250]) ).
thf(468,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xb: $i,Xc: $i] :
( ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( samesideline @ Xb @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[251]) ).
thf(469,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( samesideline @ Xq @ Xp @ Xa @ Xb )
| ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[252]) ).
thf(470,plain,
( ( ! [Xd: $i,Xe: $i,Xd1: $i,Xa: $i,Xb: $i] :
( ( samesideline @ Xa @ Xb @ Xd @ Xe )
| ( Xd = Xe )
| ~ ( s_t @ Xe @ Xd @ Xd1 )
| ~ ( samesideline @ Xa @ Xb @ Xd1 @ Xe ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[253]) ).
thf(471,plain,
( ( ! [Xa: $i,Xb: $i,U: $i,V: $i] :
( ( s_col @ Xa @ Xb @ V )
| ! [W: $i] :
( ( Xa = Xb )
| ~ ( s_m @ U @ V @ W )
| ~ ( s_col @ Xa @ Xb @ U )
| ~ ( s_col @ Xa @ Xb @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[254]) ).
thf(472,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i,Xb: $i,Xc: $i] :
( ( samesideline @ Xa @ Xc @ Xp @ Xq )
| ( Xp = Xq )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( samesideline @ Xb @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[256]) ).
thf(473,plain,
( ( ! [Xa: $i,Xc: $i,Xp: $i] :
( ! [Xb: $i,Xq: $i] :
( ( s_t @ Xa @ ( op @ Xq @ Xb @ Xp @ Xc @ Xa ) @ Xb )
| ~ ( s_t @ Xa @ Xc @ Xp )
| ~ ( s_t @ Xb @ Xq @ Xc ) )
& ! [Xb: $i,Xq: $i] :
( ( s_t @ Xp @ Xq @ ( op @ Xq @ Xb @ Xp @ Xc @ Xa ) )
| ~ ( s_t @ Xa @ Xc @ Xp )
| ~ ( s_t @ Xb @ Xq @ Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[259]) ).
thf(474,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xr: $i,Xb: $i] :
( ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[260]) ).
thf(475,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i,V: $i] :
( ( opposite @ U @ Xp @ Xq @ V )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ~ ( sameside @ V @ Xcs @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[261]) ).
thf(476,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[262]) ).
thf(477,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc )
| ( Xr != Xcs )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[263]) ).
thf(478,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ( Xr = Xcs )
| ( sameside @ U @ Xr @ Xa )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( le @ Xcs @ Xc @ Xr @ Xa )
| ~ ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[264]) ).
thf(479,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc )
| ( Xr = Xcs )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ~ ( le @ Xcs @ Xc @ Xr @ Xa ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[265]) ).
thf(480,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( sameside @ Xa @ Xb @ Xc )
| ! [Xm: $i] : ( sameside @ ( s @ Xm @ Xa ) @ ( s @ Xm @ Xb ) @ ( s @ Xm @ Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[266]) ).
thf(481,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xm: $i,Xr: $i,Xb: $i] :
( ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xm )
| ~ ( s_m @ Xa @ Xm @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[267]) ).
thf(482,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xm: $i,Xr: $i,Xb: $i] :
( ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xm )
| ~ ( s_m @ Xa @ Xm @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb )
| ~ ( s_t @ Xr @ Xb @ Xa ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[268]) ).
thf(483,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( samesideline @ Xp @ Xq @ Xb @ Xa )
| ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[270]) ).
thf(484,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( samesideline @ Xp @ Xq @ Xa @ Xc )
| ( Xa = Xc )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[271]) ).
thf(485,plain,
( ( ( perp @ xc @ xd @ xp @ xq )
| ( xa = xb )
| ( xp = xq )
| ~ ( s_col @ xa @ xb @ xp )
| ~ ( s_col @ xa @ xb @ xq )
| ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ),
inference(extcnf_combined,[status(esa)],[272]) ).
thf(486,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i] :
( ( perp @ Xp @ Xq @ Xc @ Xd )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[273]) ).
thf(487,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( perp @ Xb @ Xa @ Xa @ Xd )
| ( Xa = Xd )
| ( Xd = Xc )
| ( Xb = Xc )
| ( Xa = Xb )
| ( Xa = Xc )
| ~ ( perp @ Xb @ Xa @ Xa @ Xc )
| ~ ( s_col @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[275]) ).
thf(488,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i] :
( ( perp @ Xa @ Xb @ Xc @ Xd )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xp @ Xq @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[276]) ).
thf(489,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i,Xc: $i,Xd: $i] :
( ( perpAt @ Xa @ Xb @ Xr @ Xc @ Xd )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perpAt @ Xp @ Xq @ Xr @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[277]) ).
thf(490,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_col @ Xa @ Xc @ Xd )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[278]) ).
thf(491,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i] :
( ( s_m @ Xp @ ( midpoint @ Xa @ Xb ) @ Xr )
| ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[279]) ).
thf(492,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i,Xcx: $i] :
( ( s_m @ Xp @ Xcx @ Xr )
| ( Xcx
!= ( ip @ Xp @ Xt @ Xq @ Xb @ Xr ) )
| ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[280]) ).
thf(493,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i,Xcx: $i] :
( ( s_m @ Xa @ Xcx @ Xb )
| ( Xcx
!= ( ip @ Xp @ Xt @ Xq @ Xb @ Xr ) )
| ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[281]) ).
thf(494,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xq: $i,Xt: $i] :
( ( s_m @ Xa @ ( midpointAux @ Xa @ Xb @ Xp @ Xq @ Xt ) @ Xb )
| ~ ( le @ Xa @ Xp @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xa @ Xp )
| ~ ( perp @ Xa @ Xb @ Xb @ Xq )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xt ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[283]) ).
thf(495,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i] :
( ( Xa = Xb )
| ! [Xc: $i] : ( perp @ Xa @ Xb @ ( erect @ Xa @ Xb @ Xc ) @ Xa ) )
& ! [Xb: $i] :
( ( Xa = Xb )
| ! [Xc: $i] : ( s_col @ Xa @ Xb @ ( erectAux @ Xa @ Xb @ Xc ) ) )
& ! [Xb: $i] :
( ( Xa = Xb )
| ! [Xc: $i] : ( s_t @ Xc @ ( erectAux @ Xa @ Xb @ Xc ) @ ( erect @ Xa @ Xb @ Xc ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[284]) ).
thf(496,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( perp @ Xa @ Xb @ ( erect21a @ Xa @ Xb @ Xc ) @ Xa ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( erectAux21a @ Xa @ Xb @ Xc ) ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( s_t @ Xc @ ( erectAux21a @ Xa @ Xb @ Xc ) @ ( erect21a @ Xa @ Xb @ Xc ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[285]) ).
thf(497,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xp: $i] :
( ( s_col @ Xa @ Xb @ Xp )
| ( Xa = Xb )
| ( Xc = Xd )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( s_col @ Xc @ Xd @ Xp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[286]) ).
thf(498,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i] :
( ( Xa != Xp )
| ( Xb = Xc )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_m @ ( s @ Xa @ Xc ) @ Xp @ ( s @ Xb @ Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[288]) ).
thf(499,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i] :
( ( s_r @ Xb @ Xa @ Xp )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_m @ ( s @ Xa @ Xc ) @ Xp @ ( s @ Xb @ Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[289]) ).
thf(500,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xa @ Xb @ ( foot @ Xa @ Xb @ Xc ) ) )
& ! [Xb: $i,Xc: $i] :
( ( perp @ Xa @ Xb @ Xc @ ( foot @ Xa @ Xb @ Xc ) )
| ( s_col @ Xa @ Xb @ Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[290]) ).
thf(501,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp )
| ~ ( perp @ Xa @ Xb @ Xc @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[291]) ).
thf(502,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( perp @ Xa @ Xb @ Xc @ Xp )
| ( Xq = Xp )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( s_r @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[292]) ).
thf(503,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ! [Xq: $i,Xc: $i] :
( ( Xq = Xp )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp ) )
& ! [Xq: $i,Xc: $i] :
( ( s_r @ Xc @ Xp @ Xq )
| ( Xq = Xp )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[293]) ).
thf(504,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( perpAt @ Xa @ Xb @ Xd @ Xc @ Xd )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( perp @ Xa @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[294]) ).
thf(505,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[296]) ).
thf(506,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xcx: $i] :
( ( perpAt @ Xa @ Xb @ Xcx @ Xp @ Xq )
| ! [U: $i,V: $i] :
( ( Xcx = V )
| ( Xcx = U )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcx )
| ~ ( s_col @ Xa @ Xb @ Xcx )
| ~ ( s_col @ Xa @ Xb @ U )
| ~ ( s_col @ Xp @ Xq @ V )
| ~ ( s_r @ U @ Xcx @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[298]) ).
thf(507,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( ! [Xp: $i,Xq: $i] :
~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xa != Xb ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xp != Xq ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xc ) )
& ( ! [Xp: $i,Xq: $i] :
~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xa @ Xb @ Xc ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xa @ Xb @ ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
!= ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
!= ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_r @ ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) @ Xc @ ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[299]) ).
thf(508,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_r @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[302]) ).
thf(509,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( Xc = Xb )
| ( Xa = Xb )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[303]) ).
thf(510,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( Xb = Xc )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa @ Xc @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[305]) ).
thf(511,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( Xb = Xc )
| ! [Xa1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xa1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[306]) ).
thf(512,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ~ ( s_col @ Xb @ Xa @ Xa1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[309]) ).
thf(513,plain,
( ( ! [Xa1: $i,Xc: $i,Xa2: $i,Xb1: $i,Xb2: $i,Xm1: $i,Xm2: $i] :
( ( s_t @ Xm1 @ Xc @ Xm2 )
| ~ ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[312]) ).
thf(514,plain,
( ( ! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i] :
( ! [Xa2: $i] :
~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xm1 @ Xc @ Xm2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[313]) ).
thf(515,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xp: $i] :
( ( s_m @ Xa @ Xp @ Xc )
| ( Xb = Xd )
| ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xb @ Xc @ Xd @ Xa )
| ~ ( s_col @ Xa @ Xp @ Xc )
| ~ ( s_col @ Xb @ Xp @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[315]) ).
thf(516,plain,
( ( ! [Xa: $i,Xm: $i,Xb: $i] :
( ( s_m @ Xa @ Xm @ Xb )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[316]) ).
thf(517,plain,
( ( ! [Xa: $i,Xb: $i] :
( ! [Xp: $i] :
( ( s @ Xa @ ( s @ Xb @ Xp ) )
!= ( s @ Xb @ ( s @ Xa @ Xp ) ) )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[317]) ).
thf(518,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xb @ Xp ) )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[318]) ).
thf(519,plain,
( ( ! [Xp: $i,Xa: $i,Xq: $i,Xb: $i] :
( ( Xa = Xb )
| ~ ( s_m @ Xp @ Xa @ Xq )
| ~ ( s_m @ Xp @ Xb @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[319]) ).
thf(520,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( s_e @ Xp @ Xq @ Xr @ Xcs )
| ! [Xa: $i] :
~ ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[320]) ).
thf(521,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ~ ( s_e @ Xp @ Xq @ Xr @ Xcs )
| ! [Xa: $i] : ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[321]) ).
thf(522,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( s_t @ Xp @ Xq @ Xr )
| ! [Xa: $i] :
~ ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[322]) ).
thf(523,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ~ ( s_t @ Xp @ Xq @ Xr )
| ! [Xa: $i] : ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[323]) ).
thf(524,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( Xp != Xa )
| ( ( s @ Xa @ Xp )
= Xp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[325]) ).
thf(525,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( ( s @ Xa @ Xp )
!= Xp )
| ( Xp = Xa ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[326]) ).
thf(526,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xa @ Xq ) )
| ( Xp = Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[327]) ).
thf(527,plain,
( ( ! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
( ( Xp = Xq )
| ( ( s @ Xa @ Xp )
!= Xr )
| ( ( s @ Xa @ Xq )
!= Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[328]) ).
thf(528,plain,
( ( ! [Xp: $i,Xa: $i,Xr: $i,Xq: $i] :
( ( Xr = Xq )
| ~ ( s_m @ Xp @ Xa @ Xr )
| ~ ( s_m @ Xp @ Xa @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[331]) ).
thf(529,plain,
( ( ! [Xa: $i,Xm: $i] :
( ( Xm != Xa )
| ( s_m @ Xa @ Xm @ Xa ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[333]) ).
thf(530,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( sameside @ Xa @ Xb @ Xc )
| ~ ( sameside @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xb @ Xa @ Xb1 @ Xa1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[336]) ).
thf(531,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i,Xe: $i] :
( ( s_col @ Xp @ Xq @ Xe )
| ( Xc = Xd )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( s_col @ Xp @ Xq @ Xd )
| ~ ( s_col @ Xa @ Xb @ Xe ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[338]) ).
thf(532,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i] :
( ( s_col @ Xa @ Xb @ Xr )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xa )
| ~ ( s_col @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[339]) ).
thf(533,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( s_col @ Xq @ Xp @ Xr )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[340]) ).
thf(534,plain,
( ( ! [Xp: $i,Xq: $i,Xcs: $i,Xr: $i] :
( ( s_col @ Xp @ Xcs @ Xr )
| ( Xp = Xq )
| ( Xcs = Xp )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[342]) ).
thf(535,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xc @ Xd @ Xb )
| ( s_t @ Xd @ Xc @ Xb )
| ( Xa = Xb )
| ~ ( s_t @ Xc @ Xa @ Xb )
| ~ ( s_t @ Xd @ Xa @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[343]) ).
thf(536,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_col @ Xa @ Xp @ Xq )
| ( Xa != Xp )
| ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[344]) ).
thf(537,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_col @ Xa @ Xp @ Xq )
| ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( sameside @ Xa @ Xp @ Xr ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[345]) ).
thf(538,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_col @ Xa @ Xp @ Xq )
| ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( sameside @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[346]) ).
thf(539,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( sameside @ Xa @ Xp @ Xr )
| ( sameside @ Xa @ Xp @ Xq )
| ( Xa = Xp )
| ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( s_col @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[347]) ).
thf(540,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( s_t @ Xp @ Xa @ Xb )
| ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( le @ Xp @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[349]) ).
thf(541,plain,
( ( ! [Xr: $i,Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( Xr = Xa )
| ( Xb = Xc )
| ~ ( sameside @ Xp @ Xa @ Xr )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xc )
| ~ ( sameside @ Xq @ Xa @ Xr )
| ~ ( s_e @ Xa @ Xq @ Xb @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[350]) ).
thf(542,plain,
( ( ! [Xr: $i,Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ( sameside @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xa @ Xr )
| ( Xr = Xa )
| ( Xb = Xc ) )
& ! [Xb: $i,Xc: $i] :
( ( s_e @ Xa @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xb @ Xc )
| ( Xr = Xa )
| ( Xb = Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[351]) ).
thf(543,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( sameside @ Xa @ Xp @ Xc )
| ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( sameside @ Xb @ Xp @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[352]) ).
thf(544,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( s_t @ Xa @ Xp @ Xb )
| ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_col @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[355]) ).
thf(545,plain,
( ( ! [Xa: $i] :
( ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_col @ Xa @ Xp @ Xb ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xa @ Xp @ Xb ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[356]) ).
thf(546,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( Xc = Xp )
| ( Xb = Xp )
| ( Xa = Xp )
| ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xp @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[357]) ).
thf(547,plain,
( ( ! [Xa: $i] :
( ! [Xp: $i] :
( ! [Xb: $i] :
~ ( sameside @ Xa @ Xp @ Xb )
| ( Xa != Xp ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xb != Xp ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( ( c63 @ Xa @ Xp @ Xb )
!= Xp ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xa @ Xp @ ( c63 @ Xa @ Xp @ Xb ) ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xb @ Xp @ ( c63 @ Xa @ Xp @ Xb ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[358]) ).
thf(548,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ! [Xc: $i] :
( ( s_t @ Xb @ Xp @ Xc )
| ( Xc = Xp )
| ( Xa = Xp )
| ( Xb = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc ) )
| ~ ( sameside @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[359]) ).
thf(549,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ! [Xc: $i] :
( ( Xc = Xp )
| ( Xa = Xp )
| ( Xb = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xp @ Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[360]) ).
thf(550,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( Xc = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[362]) ).
thf(551,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( le @ Xb @ Xc @ Xa @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[363]) ).
thf(552,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( le @ Xa @ Xb @ Xa @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[364]) ).
thf(553,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xc @ Xd @ Xa @ Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[367]) ).
thf(554,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
( ( le @ Xa @ Xb @ Xe @ Xf )
| ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xc @ Xd @ Xe @ Xf ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[368]) ).
thf(555,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ( le @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xc @ Xd @ Xc1 @ Xd1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[370]) ).
thf(556,plain,
( ( ! [Xa: $i,Xb: $i] :
( ! [Xc: $i,Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ ( ins @ Xc @ Xd @ Xa @ Xb ) ) )
& ! [Xc: $i,Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ ( ins @ Xc @ Xd @ Xa @ Xb ) @ Xc @ Xd ) )
& ! [Xc: $i,Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( ( ins @ Xc @ Xd @ Xa @ Xb )
= ( ext @ Xa @ Xb @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[372]) ).
thf(557,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( s_t @ Xa @ Xc @ Xb )
| ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[373]) ).
thf(558,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xb @ Xd @ Xc )
| ( s_t @ Xb @ Xc @ Xd )
| ( Xa = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[374]) ).
thf(559,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xa @ Xd @ Xc )
| ( s_t @ Xa @ Xc @ Xd )
| ( Xa = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[375]) ).
thf(560,plain,
( ( ! [Xa: $i,Xc: $i,Xb: $i,Xc1: $i] :
( ( Xc = Xc1 )
| ~ ( s_t @ Xa @ Xc @ Xb )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[376]) ).
thf(561,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xc1: $i] :
( ( Xc = Xc1 )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[377]) ).
thf(562,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( s_e @ Xc @ Xp @ Xc @ Xq )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xp @ Xa @ Xq )
| ~ ( s_e @ Xb @ Xp @ Xb @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[378]) ).
thf(563,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ( s_e @ Xc @ Xd @ Xc1 @ Xd1 )
| ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[379]) ).
thf(564,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i] :
( ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ ( insert5 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 ) )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[380]) ).
thf(565,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_col @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[381]) ).
thf(566,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[389]) ).
thf(567,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ! [Xa1: $i,Xc1: $i] :
( ( s_t @ Xa1 @ ( insert @ Xa @ Xb @ Xa1 @ Xc1 ) @ Xc1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) )
& ! [Xa1: $i,Xc1: $i] :
( ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ ( insert @ Xa @ Xb @ Xa1 @ Xc1 ) @ Xc1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[390]) ).
thf(568,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i] :
( ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ! [Xc1: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[391]) ).
thf(569,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ! [Xb1: $i,Xp: $i] :
( ( s_t @ Xp @ ( crossbar @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xp ) @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc )
| ~ ( s_t @ Xa @ Xp @ Xa1 ) )
& ! [Xb1: $i,Xp: $i] :
( ( s_t @ Xb @ ( crossbar @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xp ) @ Xb1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc )
| ~ ( s_t @ Xa @ Xp @ Xa1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[393]) ).
thf(570,plain,
( ( ! [Xb: $i,Xa: $i] :
( Xb
!= ( ext @ Xa @ Xb @ alpha @ gamma ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[394]) ).
thf(571,plain,
( ( alpha != gamma )
= $true ),
inference(extcnf_combined,[status(esa)],[396]) ).
thf(572,plain,
( ( beta != gamma )
= $true ),
inference(extcnf_combined,[status(esa)],[397]) ).
thf(573,plain,
( ( alpha != beta )
= $true ),
inference(extcnf_combined,[status(esa)],[398]) ).
thf(574,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xa @ Xb @ Xd )
| ( Xb = Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[399]) ).
thf(575,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[400]) ).
thf(576,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( s_t @ Xa @ Xc @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[401]) ).
thf(577,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xa @ Xc @ Xd )
| ( Xb = Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[402]) ).
thf(578,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xb @ Xc @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[403]) ).
thf(579,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[404]) ).
thf(580,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ! [Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xa @ Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[405]) ).
thf(581,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,XA: $i,XB: $i,XC: $i] :
( ( s_e @ Xa @ Xc @ XA @ XC )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ XA @ XB @ XC )
| ~ ( s_e @ Xa @ Xb @ XB @ XC )
| ~ ( s_e @ Xb @ Xc @ XA @ XB ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[409]) ).
thf(582,plain,
( ( ! [Xb: $i,Xc: $i] :
( ! [Xa: $i] :
~ ( s_e @ Xb @ Xc @ Xa @ Xa )
| ( Xb = Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[411]) ).
thf(583,plain,
( ( ! [Xq: $i,Xa: $i,Xd: $i,Xb: $i,Xc: $i] :
( ( Xd
= ( ext @ Xq @ Xa @ Xb @ Xc ) )
| ( Xq = Xa )
| ~ ( s_t @ Xq @ Xa @ Xd )
| ~ ( s_e @ Xa @ Xd @ Xb @ Xc ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[412]) ).
thf(584,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[413]) ).
thf(585,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
( ( s_e @ Xa @ Xb @ Xe @ Xf )
| ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xc @ Xd @ Xe @ Xf ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[417]) ).
thf(586,plain,
( ( ! [Xa: $i,Xp: $i,Xc: $i] :
( ! [Xb: $i,Xq: $i] :
( ( s_t @ Xp @ ( ip @ Xa @ Xp @ Xc @ Xb @ Xq ) @ Xb )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xq @ Xc ) )
& ! [Xb: $i,Xq: $i] :
( ( s_t @ Xq @ ( ip @ Xa @ Xp @ Xc @ Xb @ Xq ) @ Xa )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xq @ Xc ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[421]) ).
thf(587,plain,
( ( ! [X: $i,Y: $i,X1: $i,Y1: $i,Z: $i,Z1: $i,V: $i,V1: $i] :
( ( s_e @ Z @ V @ Z1 @ V1 )
| ( X = Y )
| ~ ( s_e @ X @ Y @ X1 @ Y1 )
| ~ ( s_e @ Y @ Z @ Y1 @ Z1 )
| ~ ( s_e @ X @ V @ X1 @ V1 )
| ~ ( s_e @ Y @ V @ Y1 @ V1 )
| ~ ( s_t @ X @ Y @ Z )
| ~ ( s_t @ X1 @ Y1 @ Z1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[423]) ).
thf(588,plain,
( ( ! [X: $i,Y: $i] :
( ! [W: $i,V: $i] : ( s_e @ Y @ ( ext @ X @ Y @ W @ V ) @ W @ V )
& ! [W: $i,V: $i] : ( s_t @ X @ Y @ ( ext @ X @ Y @ W @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[424]) ).
thf(589,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
~ ( s_e @ X @ Y @ Z @ Z )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[425]) ).
thf(590,plain,
( ( ! [X: $i,Y: $i,Z: $i,V: $i,Z2: $i,V2: $i] :
( ( s_e @ Z @ V @ Z2 @ V2 )
| ~ ( s_e @ X @ Y @ Z @ V )
| ~ ( s_e @ X @ Y @ Z2 @ V2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[426]) ).
thf(591,plain,
( ( ! [X: $i,Y: $i] : ( s_e @ X @ Y @ Y @ X ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(592,plain,
( ( ! [X: $i,Y: $i,Z: $i,V: $i,Z2: $i,V2: $i] :
( ( s_e @ Z @ V @ Z2 @ V2 )
| ~ ( s_e @ X @ Y @ Z @ V )
| ~ ( s_e @ X @ Y @ Z2 @ V2 ) ) )
= $true ),
inference(copy,[status(thm)],[590]) ).
thf(593,plain,
( ( ! [X: $i,Y: $i] :
( ! [Z: $i] :
~ ( s_e @ X @ Y @ Z @ Z )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[589]) ).
thf(594,plain,
( ( ! [X: $i,Y: $i] :
( ! [W: $i,V: $i] : ( s_e @ Y @ ( ext @ X @ Y @ W @ V ) @ W @ V )
& ! [W: $i,V: $i] : ( s_t @ X @ Y @ ( ext @ X @ Y @ W @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[588]) ).
thf(595,plain,
( ( ! [X: $i,Y: $i,X1: $i,Y1: $i,Z: $i,Z1: $i,V: $i,V1: $i] :
( ( s_e @ Z @ V @ Z1 @ V1 )
| ( X = Y )
| ~ ( s_e @ X @ Y @ X1 @ Y1 )
| ~ ( s_e @ Y @ Z @ Y1 @ Z1 )
| ~ ( s_e @ X @ V @ X1 @ V1 )
| ~ ( s_e @ Y @ V @ Y1 @ V1 )
| ~ ( s_t @ X @ Y @ Z )
| ~ ( s_t @ X1 @ Y1 @ Z1 ) ) )
= $true ),
inference(copy,[status(thm)],[587]) ).
thf(596,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( s_t @ X @ Y @ X )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(597,plain,
( ( ! [Xa: $i,Xp: $i,Xc: $i] :
( ! [Xb: $i,Xq: $i] :
( ( s_t @ Xp @ ( ip @ Xa @ Xp @ Xc @ Xb @ Xq ) @ Xb )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xq @ Xc ) )
& ! [Xb: $i,Xq: $i] :
( ( s_t @ Xq @ ( ip @ Xa @ Xp @ Xc @ Xb @ Xq ) @ Xa )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xq @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[586]) ).
thf(598,plain,
( ( ~ ( s_t @ alpha @ beta @ gamma )
& ~ ( s_t @ beta @ gamma @ alpha )
& ~ ( s_t @ gamma @ alpha @ beta ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(599,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_e @ Xa @ Xb @ Xa @ Xb ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(600,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xc @ Xd @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(601,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
( ( s_e @ Xa @ Xb @ Xe @ Xf )
| ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xc @ Xd @ Xe @ Xf ) ) )
= $true ),
inference(copy,[status(thm)],[585]) ).
thf(602,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xb @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(603,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ Xb @ Xd @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(604,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_e @ Xa @ Xa @ Xb @ Xb ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(605,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[584]) ).
thf(606,plain,
( ( ! [Xq: $i,Xa: $i,Xd: $i,Xb: $i,Xc: $i] :
( ( Xd
= ( ext @ Xq @ Xa @ Xb @ Xc ) )
| ( Xq = Xa )
| ~ ( s_t @ Xq @ Xa @ Xd )
| ~ ( s_e @ Xa @ Xd @ Xb @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[583]) ).
thf(607,plain,
( ( ! [Xb: $i,Xc: $i] :
( ! [Xa: $i] :
~ ( s_e @ Xb @ Xc @ Xa @ Xa )
| ( Xb = Xc ) ) )
= $true ),
inference(copy,[status(thm)],[582]) ).
thf(608,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xb @ Xa @ Xd @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(609,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,XA: $i,XB: $i,XC: $i] :
( ( s_e @ Xa @ Xc @ XA @ XC )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ XA @ XB @ XC )
| ~ ( s_e @ Xa @ Xb @ XB @ XC )
| ~ ( s_e @ Xb @ Xc @ XA @ XB ) ) )
= $true ),
inference(copy,[status(thm)],[581]) ).
thf(610,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_t @ Xa @ Xb @ Xb ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(611,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ( s_t @ Xc @ Xb @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(612,plain,
( ( ! [Xa1: $i,Xb1: $i] : ( s_t @ Xa1 @ Xa1 @ Xb1 ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(613,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ! [Xc: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xa @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[580]) ).
thf(614,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[579]) ).
thf(615,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xb @ Xc @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[578]) ).
thf(616,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xa @ Xc @ Xd )
| ( Xb = Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[577]) ).
thf(617,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( s_t @ Xa @ Xc @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[576]) ).
thf(618,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[575]) ).
thf(619,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xa @ Xb @ Xd )
| ( Xb = Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[574]) ).
thf(620,plain,
( ( alpha != beta )
= $true ),
inference(copy,[status(thm)],[573]) ).
thf(621,plain,
( ( beta != gamma )
= $true ),
inference(copy,[status(thm)],[572]) ).
thf(622,plain,
( ( alpha != gamma )
= $true ),
inference(copy,[status(thm)],[571]) ).
thf(623,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_t @ Xa @ Xb @ ( ext @ Xa @ Xb @ alpha @ gamma ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(624,plain,
( ( ! [Xb: $i,Xa: $i] :
( Xb
!= ( ext @ Xa @ Xb @ alpha @ gamma ) ) )
= $true ),
inference(copy,[status(thm)],[570]) ).
thf(625,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ! [Xb1: $i,Xp: $i] :
( ( s_t @ Xp @ ( crossbar @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xp ) @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc )
| ~ ( s_t @ Xa @ Xp @ Xa1 ) )
& ! [Xb1: $i,Xp: $i] :
( ( s_t @ Xb @ ( crossbar @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xp ) @ Xb1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc )
| ~ ( s_t @ Xa @ Xp @ Xa1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[569]) ).
thf(626,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(627,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i] :
( ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ! [Xc1: $i] :
( ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[568]) ).
thf(628,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ! [Xa1: $i,Xc1: $i] :
( ( s_t @ Xa1 @ ( insert @ Xa @ Xb @ Xa1 @ Xc1 ) @ Xc1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) )
& ! [Xa1: $i,Xc1: $i] :
( ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ ( insert @ Xa @ Xb @ Xa1 @ Xc1 ) @ Xc1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa1 @ Xc1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[567]) ).
thf(629,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_t @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[566]) ).
thf(630,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xb @ Xc @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(631,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xc @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(632,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xc @ Xb @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(633,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xb @ Xa @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(634,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xa @ Xc @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(635,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_col @ Xa @ Xa @ Xb ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(636,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_col @ Xa @ Xb @ Xa ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(637,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_col @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[565]) ).
thf(638,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i] :
( ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ ( insert5 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 ) )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 ) ) )
= $true ),
inference(copy,[status(thm)],[564]) ).
thf(639,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ( s_e @ Xc @ Xd @ Xc1 @ Xd1 )
| ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[563]) ).
thf(640,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( s_e @ Xc @ Xp @ Xc @ Xq )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xp @ Xa @ Xq )
| ~ ( s_e @ Xb @ Xp @ Xb @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[562]) ).
thf(641,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xc1: $i] :
( ( Xc = Xc1 )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[561]) ).
thf(642,plain,
( ( ! [Xa: $i,Xc: $i,Xb: $i,Xc1: $i] :
( ( Xc = Xc1 )
| ~ ( s_t @ Xa @ Xc @ Xb )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xc1 )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[560]) ).
thf(643,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xa @ Xd @ Xc )
| ( s_t @ Xa @ Xc @ Xd )
| ( Xa = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[559]) ).
thf(644,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xb @ Xd @ Xc )
| ( s_t @ Xb @ Xc @ Xd )
| ( Xa = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[558]) ).
thf(645,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( s_t @ Xa @ Xc @ Xb )
| ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xd )
| ~ ( s_t @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[557]) ).
thf(646,plain,
( ( ! [Xa: $i,Xb: $i] :
( ! [Xc: $i,Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_t @ Xa @ Xb @ ( ins @ Xc @ Xd @ Xa @ Xb ) ) )
& ! [Xc: $i,Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ ( ins @ Xc @ Xd @ Xa @ Xb ) @ Xc @ Xd ) )
& ! [Xc: $i,Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( ( ins @ Xc @ Xd @ Xa @ Xb )
= ( ext @ Xa @ Xb @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[556]) ).
thf(647,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i] :
( ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_t @ Xa @ Xb @ Xe )
| ~ ( s_e @ Xa @ Xe @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(648,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i,Xc1: $i,Xd1: $i] :
( ( le @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xc @ Xd @ Xc1 @ Xd1 ) ) )
= $true ),
inference(copy,[status(thm)],[555]) ).
thf(649,plain,
( ( ! [Xa: $i,Xb: $i] : ( le @ Xa @ Xb @ Xa @ Xb ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(650,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xe: $i,Xf: $i] :
( ( le @ Xa @ Xb @ Xe @ Xf )
| ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xc @ Xd @ Xe @ Xf ) ) )
= $true ),
inference(copy,[status(thm)],[554]) ).
thf(651,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ~ ( le @ Xc @ Xd @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[553]) ).
thf(652,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( le @ Xa @ Xb @ Xc @ Xd )
| ( le @ Xc @ Xd @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(653,plain,
( ( ! [Xa: $i,Xc: $i,Xd: $i] : ( le @ Xa @ Xa @ Xc @ Xd ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(654,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( le @ Xa @ Xb @ Xa @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[552]) ).
thf(655,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( le @ Xb @ Xc @ Xa @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[551]) ).
thf(656,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( Xc = Xb )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[550]) ).
thf(657,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xb @ Xc )
| ~ ( le @ Xa @ Xb @ Xa @ Xc )
| ~ ( le @ Xb @ Xc @ Xa @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(658,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ! [Xc: $i] :
( ( Xc = Xp )
| ( Xa = Xp )
| ( Xb = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xp @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[549]) ).
thf(659,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ! [Xc: $i] :
( ( s_t @ Xb @ Xp @ Xc )
| ( Xc = Xp )
| ( Xa = Xp )
| ( Xb = Xp )
| ~ ( s_t @ Xa @ Xp @ Xc ) )
| ~ ( sameside @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[548]) ).
thf(660,plain,
( ( ! [Xa: $i] :
( ! [Xp: $i] :
( ! [Xb: $i] :
~ ( sameside @ Xa @ Xp @ Xb )
| ( Xa != Xp ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xb != Xp ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( ( c63 @ Xa @ Xp @ Xb )
!= Xp ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xa @ Xp @ ( c63 @ Xa @ Xp @ Xb ) ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xb @ Xp @ ( c63 @ Xa @ Xp @ Xb ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[547]) ).
thf(661,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( Xc = Xp )
| ( Xb = Xp )
| ( Xa = Xp )
| ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xa @ Xp @ Xc )
| ~ ( s_t @ Xb @ Xp @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[546]) ).
thf(662,plain,
( ( ! [Xa: $i] :
( ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_col @ Xa @ Xp @ Xb ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xa @ Xp @ Xb ) ) ) )
= $true ),
inference(copy,[status(thm)],[545]) ).
thf(663,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( s_t @ Xa @ Xp @ Xb )
| ( sameside @ Xa @ Xp @ Xb )
| ~ ( s_col @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[544]) ).
thf(664,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( Xa = Xp )
| ( sameside @ Xa @ Xp @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(665,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( sameside @ Xb @ Xp @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(666,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xc: $i] :
( ( sameside @ Xa @ Xp @ Xc )
| ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( sameside @ Xb @ Xp @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[543]) ).
thf(667,plain,
( ( ! [Xr: $i,Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ( sameside @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xa @ Xr )
| ( Xr = Xa )
| ( Xb = Xc ) )
& ! [Xb: $i,Xc: $i] :
( ( s_e @ Xa @ ( insert @ Xb @ Xc @ Xa @ Xr ) @ Xb @ Xc )
| ( Xr = Xa )
| ( Xb = Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[542]) ).
thf(668,plain,
( ( ! [Xr: $i,Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( Xr = Xa )
| ( Xb = Xc )
| ~ ( sameside @ Xp @ Xa @ Xr )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xc )
| ~ ( sameside @ Xq @ Xa @ Xr )
| ~ ( s_e @ Xa @ Xq @ Xb @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[541]) ).
thf(669,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( s_t @ Xp @ Xa @ Xb )
| ~ ( sameside @ Xa @ Xp @ Xb )
| ~ ( le @ Xp @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[540]) ).
thf(670,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( le @ Xp @ Xa @ Xp @ Xb )
| ~ ( s_t @ Xp @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(671,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( sameside @ Xa @ Xp @ Xr )
| ( sameside @ Xa @ Xp @ Xq )
| ( Xa = Xp )
| ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( s_col @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[539]) ).
thf(672,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_col @ Xa @ Xp @ Xq )
| ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( sameside @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[538]) ).
thf(673,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_col @ Xa @ Xp @ Xq )
| ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr )
| ~ ( sameside @ Xa @ Xp @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[537]) ).
thf(674,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xa: $i] :
( ( s_col @ Xa @ Xp @ Xq )
| ( Xa != Xp )
| ( Xp = Xq )
| ( Xp = Xr )
| ~ ( s_t @ Xq @ Xp @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[536]) ).
thf(675,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_t @ Xc @ Xd @ Xb )
| ( s_t @ Xd @ Xc @ Xb )
| ( Xa = Xb )
| ~ ( s_t @ Xc @ Xa @ Xb )
| ~ ( s_t @ Xd @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[535]) ).
thf(676,plain,
( ( ! [Xp: $i,Xq: $i,Xcs: $i,Xr: $i] :
( ( s_col @ Xp @ Xcs @ Xr )
| ( Xp = Xq )
| ( Xcs = Xp )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[534]) ).
thf(677,plain,
( ( ! [Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xp ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(678,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( s_col @ Xq @ Xp @ Xr )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[533]) ).
thf(679,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i] :
( ( s_col @ Xa @ Xb @ Xr )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xa )
| ~ ( s_col @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[532]) ).
thf(680,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i,Xe: $i] :
( ( s_col @ Xp @ Xq @ Xe )
| ( Xc = Xd )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( s_col @ Xp @ Xq @ Xd )
| ~ ( s_col @ Xa @ Xb @ Xe ) ) )
= $true ),
inference(copy,[status(thm)],[531]) ).
thf(681,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( pointOffLine @ Xa @ Xb ) ) ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(682,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( sameside @ Xa @ Xb @ Xc )
| ~ ( sameside @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xb @ Xa @ Xb1 @ Xa1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[530]) ).
thf(683,plain,
( ( ! [Xa: $i,Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_m @ Xb @ Xm @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(684,plain,
( ( ! [Xa: $i,Xm: $i] :
( ~ ( s_m @ Xa @ Xm @ Xa )
| ( Xm = Xa ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(685,plain,
( ( ! [Xa: $i,Xm: $i] :
( ( Xm != Xa )
| ( s_m @ Xa @ Xm @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[529]) ).
thf(686,plain,
( ( ! [Xp: $i,Xa: $i] : ( s_m @ Xp @ Xa @ ( s @ Xa @ Xp ) ) )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(687,plain,
( ( ! [Xp: $i,Xa: $i,Xr: $i,Xq: $i] :
( ( Xr = Xq )
| ~ ( s_m @ Xp @ Xa @ Xr )
| ~ ( s_m @ Xp @ Xa @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[528]) ).
thf(688,plain,
( ( ! [Xp: $i,Xa: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xq
= ( s @ Xa @ Xp ) ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(689,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( s @ Xa @ ( s @ Xa @ Xp ) )
= Xp ) )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(690,plain,
( ( ! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
( ( Xp = Xq )
| ( ( s @ Xa @ Xp )
!= Xr )
| ( ( s @ Xa @ Xq )
!= Xr ) ) )
= $true ),
inference(copy,[status(thm)],[527]) ).
thf(691,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xa @ Xq ) )
| ( Xp = Xq ) ) )
= $true ),
inference(copy,[status(thm)],[526]) ).
thf(692,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( ( s @ Xa @ Xp )
!= Xp )
| ( Xp = Xa ) ) )
= $true ),
inference(copy,[status(thm)],[525]) ).
thf(693,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( Xp != Xa )
| ( ( s @ Xa @ Xp )
= Xp ) ) )
= $true ),
inference(copy,[status(thm)],[524]) ).
thf(694,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i] : ( s_e @ Xp @ Xq @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(695,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ~ ( s_t @ Xp @ Xq @ Xr )
| ! [Xa: $i] : ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) ) ) )
= $true ),
inference(copy,[status(thm)],[523]) ).
thf(696,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( s_t @ Xp @ Xq @ Xr )
| ! [Xa: $i] :
~ ( s_t @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) ) ) )
= $true ),
inference(copy,[status(thm)],[522]) ).
thf(697,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ~ ( s_e @ Xp @ Xq @ Xr @ Xcs )
| ! [Xa: $i] : ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) ) ) )
= $true ),
inference(copy,[status(thm)],[521]) ).
thf(698,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( s_e @ Xp @ Xq @ Xr @ Xcs )
| ! [Xa: $i] :
~ ( s_e @ ( s @ Xa @ Xp ) @ ( s @ Xa @ Xq ) @ ( s @ Xa @ Xr ) @ ( s @ Xa @ Xcs ) ) ) )
= $true ),
inference(copy,[status(thm)],[520]) ).
thf(699,plain,
( ( ! [Xp: $i,Xa: $i,Xq: $i,Xb: $i] :
( ( Xa = Xb )
| ~ ( s_m @ Xp @ Xa @ Xq )
| ~ ( s_m @ Xp @ Xb @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[519]) ).
thf(700,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xb @ Xp ) )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[518]) ).
thf(701,plain,
( ( ! [Xa: $i,Xb: $i] :
( ! [Xp: $i] :
( ( s @ Xa @ ( s @ Xb @ Xp ) )
!= ( s @ Xb @ ( s @ Xa @ Xp ) ) )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[517]) ).
thf(702,plain,
( ( ! [Xa: $i,Xm: $i,Xb: $i] :
( ( s_m @ Xa @ Xm @ Xb )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[516]) ).
thf(703,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xp: $i] :
( ( s_m @ Xa @ Xp @ Xc )
| ( Xb = Xd )
| ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xc @ Xd )
| ~ ( s_e @ Xb @ Xc @ Xd @ Xa )
| ~ ( s_col @ Xa @ Xp @ Xc )
| ~ ( s_col @ Xb @ Xp @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[515]) ).
thf(704,plain,
( ( ! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xm1 @ Xc @ Xm2 )
| ~ ( le @ Xc @ Xa1 @ Xc @ Xa2 ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(705,plain,
( ( ! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i,Xm2: $i] :
( ! [Xa2: $i] :
~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xm1 @ Xc @ Xm2 ) ) )
= $true ),
inference(copy,[status(thm)],[514]) ).
thf(706,plain,
( ( ! [Xa1: $i,Xc: $i,Xa2: $i,Xb1: $i,Xb2: $i,Xm1: $i,Xm2: $i] :
( ( s_t @ Xm1 @ Xc @ Xm2 )
| ~ ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 ) ) )
= $true ),
inference(copy,[status(thm)],[513]) ).
thf(707,plain,
( ( ! [Xc: $i,Xa: $i,Xb: $i] :
( ~ ( s_e @ Xc @ Xa @ Xc @ Xb )
| ( s_m @ Xa @ ( isomidpoint @ Xa @ Xb @ Xc ) @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(708,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_r @ Xc @ Xb @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(709,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ~ ( s_col @ Xb @ Xa @ Xa1 ) ) )
= $true ),
inference(copy,[status(thm)],[512]) ).
thf(710,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_r @ Xa @ Xb @ ( s @ Xb @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(711,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_r @ Xa @ Xb @ Xb ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(712,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( Xb = Xc )
| ! [Xa1: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xc @ Xa1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(713,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( Xb = Xc )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa @ Xc @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(714,plain,
( ( ! [Xa: $i,Xb: $i] :
( ~ ( s_r @ Xa @ Xb @ Xa )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(715,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( Xc = Xb )
| ( Xa = Xb )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(716,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_r @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(717,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( perpAt @ Xp @ Xq @ Xc @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(718,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xp @ Xq @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(719,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ( ! [Xp: $i,Xq: $i] :
~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xa != Xb ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xp != Xq ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xc ) )
& ( ! [Xp: $i,Xq: $i] :
~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xa @ Xb @ Xc ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xa @ Xb @ ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
!= ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
!= ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) )
& ! [Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( s_r @ ( f813 @ Xa @ Xb @ Xp @ Xq @ Xc ) @ Xc @ ( g813 @ Xa @ Xb @ Xp @ Xq @ Xc ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(720,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xcx: $i] :
( ( perpAt @ Xa @ Xb @ Xcx @ Xp @ Xq )
| ! [U: $i,V: $i] :
( ( Xcx = V )
| ( Xcx = U )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcx )
| ~ ( s_col @ Xa @ Xb @ Xcx )
| ~ ( s_col @ Xa @ Xb @ U )
| ~ ( s_col @ Xp @ Xq @ V )
| ~ ( s_r @ U @ Xcx @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(721,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(722,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[505]) ).
thf(723,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ~ ( perpAt @ Xa @ Xb @ Xc @ Xp @ Xq )
| ( Xc
= ( il @ Xa @ Xb @ Xp @ Xq ) ) ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(724,plain,
( ( ! [Xa: $i,Xb: $i,Xd: $i,Xc: $i] :
( ( perpAt @ Xa @ Xb @ Xd @ Xc @ Xd )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( perp @ Xa @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[504]) ).
thf(725,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ! [Xq: $i,Xc: $i] :
( ( Xq = Xp )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp ) )
& ! [Xq: $i,Xc: $i] :
( ( s_r @ Xc @ Xp @ Xq )
| ( Xq = Xp )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp ) ) ) )
= $true ),
inference(copy,[status(thm)],[503]) ).
thf(726,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( perp @ Xa @ Xb @ Xc @ Xp )
| ( Xq = Xp )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( s_r @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(727,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xp )
| ~ ( perp @ Xa @ Xb @ Xc @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(728,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( s_col @ Xa @ Xb @ ( foot @ Xa @ Xb @ Xc ) ) )
& ! [Xb: $i,Xc: $i] :
( ( perp @ Xa @ Xb @ Xc @ ( foot @ Xa @ Xb @ Xc ) )
| ( s_col @ Xa @ Xb @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(729,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i] :
( ( s_r @ Xb @ Xa @ Xp )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_m @ ( s @ Xa @ Xc ) @ Xp @ ( s @ Xb @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(730,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i] :
( ( Xa != Xp )
| ( Xb = Xc )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_m @ ( s @ Xa @ Xc ) @ Xp @ ( s @ Xb @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(731,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xb @ Xa @ Xp @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(732,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xp: $i] :
( ( s_col @ Xa @ Xb @ Xp )
| ( Xa = Xb )
| ( Xc = Xd )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd )
| ~ ( s_col @ Xc @ Xd @ Xp ) ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(733,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( perp @ Xa @ Xb @ ( erect21a @ Xa @ Xb @ Xc ) @ Xa ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( erectAux21a @ Xa @ Xb @ Xc ) ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ( s_t @ Xc @ ( erectAux21a @ Xa @ Xb @ Xc ) @ ( erect21a @ Xa @ Xb @ Xc ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(734,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i] :
( ( Xa = Xb )
| ! [Xc: $i] : ( perp @ Xa @ Xb @ ( erect @ Xa @ Xb @ Xc ) @ Xa ) )
& ! [Xb: $i] :
( ( Xa = Xb )
| ! [Xc: $i] : ( s_col @ Xa @ Xb @ ( erectAux @ Xa @ Xb @ Xc ) ) )
& ! [Xb: $i] :
( ( Xa = Xb )
| ! [Xc: $i] : ( s_t @ Xc @ ( erectAux @ Xa @ Xb @ Xc ) @ ( erect @ Xa @ Xb @ Xc ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(735,plain,
( ( ! [Xa: $i,Xp: $i,Xb: $i,Xq: $i,Xt: $i] :
( ( s_m @ Xa @ ( midpointAux @ Xa @ Xb @ Xp @ Xq @ Xt ) @ Xb )
| ~ ( le @ Xa @ Xp @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xa @ Xp )
| ~ ( perp @ Xa @ Xb @ Xb @ Xq )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_col @ Xa @ Xb @ Xt ) ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(736,plain,
( ( ! [Xa: $i,Xb: $i] : ( s_m @ Xa @ ( midpoint @ Xa @ Xb ) @ Xb ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(737,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i,Xcx: $i] :
( ( s_m @ Xa @ Xcx @ Xb )
| ( Xcx
!= ( ip @ Xp @ Xt @ Xq @ Xb @ Xr ) )
| ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(738,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i,Xcx: $i] :
( ( s_m @ Xp @ Xcx @ Xr )
| ( Xcx
!= ( ip @ Xp @ Xt @ Xq @ Xb @ Xr ) )
| ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(739,plain,
( ( ! [Xp: $i,Xa: $i,Xb: $i,Xq: $i,Xt: $i,Xr: $i] :
( ( s_m @ Xp @ ( midpoint @ Xa @ Xb ) @ Xr )
| ~ ( perp @ Xp @ Xa @ Xa @ Xb )
| ~ ( perp @ Xq @ Xb @ Xa @ Xb )
| ~ ( s_col @ Xa @ Xb @ Xt )
| ~ ( s_t @ Xp @ Xt @ Xq )
| ~ ( s_t @ Xb @ Xr @ Xq )
| ~ ( s_e @ Xa @ Xp @ Xb @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(740,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( s_col @ Xa @ Xc @ Xd )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_col @ Xa @ Xb @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(741,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i,Xc: $i,Xd: $i] :
( ( perpAt @ Xa @ Xb @ Xr @ Xc @ Xd )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perpAt @ Xp @ Xq @ Xr @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(742,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i] :
( ( perp @ Xa @ Xb @ Xc @ Xd )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xp @ Xq @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(743,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
( ( perp @ Xb @ Xa @ Xa @ Xd )
| ( Xa = Xd )
| ( Xd = Xc )
| ( Xb = Xc )
| ( Xa = Xb )
| ( Xa = Xc )
| ~ ( perp @ Xb @ Xa @ Xa @ Xc )
| ~ ( s_col @ Xa @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(744,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xa @ Xb @ Xq @ Xp ) ) )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(745,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xc: $i,Xd: $i] :
( ( perp @ Xp @ Xq @ Xc @ Xd )
| ( Xa = Xb )
| ( Xp = Xq )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xq )
| ~ ( perp @ Xa @ Xb @ Xc @ Xd ) ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(746,plain,
( ( ( perp @ xc @ xd @ xp @ xq )
| ( xa = xb )
| ( xp = xq )
| ~ ( s_col @ xa @ xb @ xp )
| ~ ( s_col @ xa @ xb @ xq )
| ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(747,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xp: $i,Xq: $i] :
( ( samesideline @ Xp @ Xq @ Xa @ Xc )
| ( Xa = Xc )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(748,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( samesideline @ Xp @ Xq @ Xb @ Xa )
| ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(749,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( opposite @ Xb @ Xp @ Xq @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[269]) ).
thf(750,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xm: $i,Xr: $i,Xb: $i] :
( ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xm )
| ~ ( s_m @ Xa @ Xm @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb )
| ~ ( s_t @ Xr @ Xb @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(751,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xm: $i,Xr: $i,Xb: $i] :
( ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xm )
| ~ ( s_m @ Xa @ Xm @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(752,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ~ ( sameside @ Xa @ Xb @ Xc )
| ! [Xm: $i] : ( sameside @ ( s @ Xm @ Xa ) @ ( s @ Xm @ Xb ) @ ( s @ Xm @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(753,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc )
| ( Xr = Xcs )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ~ ( le @ Xcs @ Xc @ Xr @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(754,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ( Xr = Xcs )
| ( sameside @ U @ Xr @ Xa )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( le @ Xcs @ Xc @ Xr @ Xa )
| ~ ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(755,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc )
| ( Xr != Xcs )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(756,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i] :
( ( sameside @ ( s @ Xm @ U ) @ Xcs @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(757,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xcs: $i,Xr: $i,Xm: $i,U: $i,V: $i] :
( ( opposite @ U @ Xp @ Xq @ V )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( Xp = Xq )
| ~ ( s_col @ Xp @ Xq @ Xcs )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( perp @ Xp @ Xq @ Xa @ Xr )
| ~ ( perp @ Xp @ Xq @ Xc @ Xcs )
| ~ ( s_m @ Xr @ Xm @ Xcs )
| ~ ( sameside @ U @ Xr @ Xa )
| ~ ( sameside @ V @ Xcs @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(758,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xr: $i,Xb: $i] :
( ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xr )
| ~ ( sameside @ Xa @ Xr @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(759,plain,
( ( ! [Xa: $i,Xc: $i,Xp: $i] :
( ! [Xb: $i,Xq: $i] :
( ( s_t @ Xa @ ( op @ Xq @ Xb @ Xp @ Xc @ Xa ) @ Xb )
| ~ ( s_t @ Xa @ Xc @ Xp )
| ~ ( s_t @ Xb @ Xq @ Xc ) )
& ! [Xb: $i,Xq: $i] :
( ( s_t @ Xp @ Xq @ ( op @ Xq @ Xb @ Xp @ Xc @ Xa ) )
| ~ ( s_t @ Xa @ Xc @ Xp )
| ~ ( s_t @ Xb @ Xq @ Xc ) ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(760,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xc: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xc )
| ( opposite @ Xb @ Xp @ Xq @ Xc )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(761,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(762,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i,Xb: $i,Xc: $i] :
( ( samesideline @ Xa @ Xc @ Xp @ Xq )
| ( Xp = Xq )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( samesideline @ Xb @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(763,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i,Xb: $i] :
( ~ ( samesideline @ Xp @ Xq @ Xa @ Xb )
| ( samesideline @ Xp @ Xq @ Xb @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(764,plain,
( ( ! [Xa: $i,Xb: $i,U: $i,V: $i] :
( ( s_col @ Xa @ Xb @ V )
| ! [W: $i] :
( ( Xa = Xb )
| ~ ( s_m @ U @ V @ W )
| ~ ( s_col @ Xa @ Xb @ U )
| ~ ( s_col @ Xa @ Xb @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(765,plain,
( ( ! [Xd: $i,Xe: $i,Xd1: $i,Xa: $i,Xb: $i] :
( ( samesideline @ Xa @ Xb @ Xd @ Xe )
| ( Xd = Xe )
| ~ ( s_t @ Xe @ Xd @ Xd1 )
| ~ ( samesideline @ Xa @ Xb @ Xd1 @ Xe ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(766,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( samesideline @ Xq @ Xp @ Xa @ Xb )
| ( Xa = Xb )
| ~ ( samesideline @ Xp @ Xq @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(767,plain,
( ( ! [Xa: $i,Xp: $i,Xq: $i,Xb: $i,Xc: $i] :
( ( opposite @ Xa @ Xp @ Xq @ Xc )
| ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( samesideline @ Xb @ Xc @ Xp @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(768,plain,
( ( ! [Xp: $i,Xq: $i,Xc: $i,Xa: $i,Xb: $i] :
( ( s_col @ Xc @ Xa @ Xb )
| ( Xa = Xc )
| ( Xp = Xq )
| ~ ( perpAt @ Xp @ Xq @ Xc @ Xa @ Xc )
| ~ ( perpAt @ Xp @ Xq @ Xc @ Xb @ Xc ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(769,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( Xp
!= ( foot @ Xp @ Xq @ Xr ) )
| ! [Xcs: $i] :
( ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xcs )
| ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr ) ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(770,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i] :
( ( Xp
= ( foot @ Xp @ Xq @ Xr ) )
| ! [Xcs: $i] :
( ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xcs )
| ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr ) ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(771,plain,
( ( ! [Xp: $i,Xq: $i,Xr: $i,Xcs: $i] :
( ( opposite @ Xr @ Xp @ Xq @ Xcs )
| ( samesideline @ Xr @ Xcs @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xcs )
| ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(772,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xr: $i] :
( ( samesideline @ Xr @ Xb @ Xp @ Xq )
| ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( sameside @ Xa @ Xq @ Xr ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(773,plain,
( ( ! [Xc: $i,Xd: $i,Xp: $i,Xa: $i,Xb: $i] :
( ( samesideline @ Xa @ Xb @ Xc @ Xd )
| ( s_col @ Xc @ Xd @ Xa )
| ( Xc = Xd )
| ~ ( s_col @ Xc @ Xd @ Xp )
| ~ ( s_col @ Xa @ Xb @ Xp )
| ~ ( sameside @ Xa @ Xp @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(774,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i] :
( ( Xa = Xb )
| ! [Xp: $i] : ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ ( reflect @ Xa @ Xb @ Xp ) ) ) )
& ! [Xb: $i,Xp: $i] :
( ( perp @ Xa @ Xb @ Xp @ ( reflect @ Xa @ Xb @ Xp ) )
| ( Xa = Xb )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(775,plain,
( ( ! [Xa: $i,Xb: $i] :
( ! [Xp: $i,Xp1: $i] :
( ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) )
| ~ ( perp @ Xa @ Xb @ Xp @ Xp1 ) )
& ! [Xp: $i,Xp1: $i] :
( ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) )
| ( Xp != Xp1 )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(776,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(777,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ! [Xp: $i] :
( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
= Xp ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(778,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xp
= ( reflect @ Xa @ Xb @ Xp1 ) )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(779,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xp = Xq )
| ( ( reflect @ Xa @ Xb @ Xp )
!= ( reflect @ Xa @ Xb @ Xq ) )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(780,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( s_col @ Xa @ Xb @ Xp )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(781,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( ( reflect @ Xa @ Xb @ Xp )
= Xp )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(782,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ! [Xq: $i] : ( s_e @ Xp @ Xq @ ( reflect @ Xa @ Xb @ Xp ) @ ( reflect @ Xa @ Xb @ Xq ) )
| ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ Xp ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(783,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ! [Xp: $i,Xq: $i] : ( s_e @ Xp @ Xq @ ( reflect @ Xa @ Xb @ Xp ) @ ( reflect @ Xa @ Xb @ Xq ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(784,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(785,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ( Xc = Xc1 )
| ( Xb
!= ( midpoint @ Xc @ Xc1 ) )
| ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(786,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xc1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb )
| ~ ( s_e @ Xb @ Xc @ Xb @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(787,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xa1: $i,Xb1: $i,Xc1: $i] :
( ( s_e @ Xa @ Xc @ Xa1 @ Xc1 )
| ~ ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_r @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xb @ Xa1 @ Xb1 )
| ~ ( s_e @ Xb @ Xc @ Xb1 @ Xc1 ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(788,plain,
( ( ! [Xa: $i,Xb: $i,Xa1: $i,Xc1: $i] :
( ( insert @ Xa @ Xb @ Xa1 @ Xc1 )
= ( ext @ ( ext @ Xc1 @ Xa1 @ alpha @ gamma ) @ Xa1 @ Xa @ Xb ) ) )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(789,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Za: $i,Zb: $i] :
( ( ! [Zc: $i,Zd: $i] :
~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Xa @ Xb @ Xc ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Za @ Zb @ Zc ) )
& ( ! [Zc: $i,Zd: $i] :
~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xb @ Za @ Zb ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xc @ Zb @ Zc ) )
& ! [Zc: $i,Zd: $i] :
( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xd @ Za @ Zd ) )
& ! [Zc: $i,Zd: $i] :
( ~ ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xd @ Zb @ Zd ) )
& ! [Zc: $i,Zd: $i] :
( ( s_afs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Za @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xb @ Za @ Zb )
| ~ ( s_e @ Xb @ Xc @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xd @ Za @ Zd )
| ~ ( s_e @ Xb @ Xd @ Zb @ Zd ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(790,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Za: $i,Zb: $i] :
( ( ! [Zc: $i,Zd: $i] :
~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Xa @ Xb @ Xc ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_t @ Za @ Zb @ Zc ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xc @ Za @ Zc ) )
& ! [Zc: $i] :
( ! [Zd: $i] :
~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xb @ Xc @ Zb @ Zc ) )
& ! [Zc: $i,Zd: $i] :
( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xa @ Xd @ Za @ Zd ) )
& ! [Zc: $i,Zd: $i] :
( ~ ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ( s_e @ Xc @ Xd @ Zc @ Zd ) )
& ! [Zc: $i,Zd: $i] :
( ( s_ifs @ Xa @ Xb @ Xc @ Xd @ Za @ Zb @ Zc @ Zd )
| ~ ( s_t @ Xa @ Xb @ Xc )
| ~ ( s_t @ Za @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xc @ Za @ Zc )
| ~ ( s_e @ Xb @ Xc @ Zb @ Zc )
| ~ ( s_e @ Xa @ Xd @ Za @ Zd )
| ~ ( s_e @ Xc @ Xd @ Zc @ Zd ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(791,plain,
( ( ! [Xa1: $i,Xa2: $i,Xa3: $i,Xb1: $i] :
( ! [Xb2: $i] :
( ! [Xb3: $i] :
~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 ) )
& ! [Xb2: $i,Xb3: $i] :
( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 ) )
& ! [Xb2: $i,Xb3: $i] :
( ~ ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 ) )
& ! [Xb2: $i,Xb3: $i] :
( ( s_e3 @ Xa1 @ Xa2 @ Xa3 @ Xb1 @ Xb2 @ Xb3 )
| ~ ( s_e @ Xa1 @ Xa2 @ Xb1 @ Xb2 )
| ~ ( s_e @ Xa1 @ Xa3 @ Xb1 @ Xb3 )
| ~ ( s_e @ Xa2 @ Xa3 @ Xb2 @ Xb3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(792,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ( s_t @ Xc @ Xa @ Xb )
| ( s_t @ Xb @ Xc @ Xa )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ( s_t @ Xa @ Xb @ Xc ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xa @ Xb @ Xc ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xb @ Xc @ Xa ) )
& ! [Xb: $i,Xc: $i] :
( ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_t @ Xc @ Xa @ Xb ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(793,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i,Xa1: $i,Xb1: $i] :
( ( ! [Xc1: $i,Xd1: $i] :
~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_col @ Xa @ Xb @ Xc ) )
& ! [Xc1: $i] :
( ! [Xd1: $i] :
~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 ) )
& ! [Xc1: $i,Xd1: $i] :
( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xa @ Xd @ Xa1 @ Xd1 ) )
& ! [Xc1: $i,Xd1: $i] :
( ~ ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) )
& ! [Xc1: $i,Xd1: $i] :
( ( s_fs @ Xa @ Xb @ Xc @ Xd @ Xa1 @ Xb1 @ Xc1 @ Xd1 )
| ~ ( s_col @ Xa @ Xb @ Xc )
| ~ ( s_e3 @ Xa @ Xb @ Xc @ Xa1 @ Xb1 @ Xc1 )
| ~ ( s_e @ Xa @ Xd @ Xa1 @ Xd1 )
| ~ ( s_e @ Xb @ Xd @ Xb1 @ Xd1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(794,plain,
( ( ! [Xa: $i,Xb: $i,Xc: $i] :
( ! [Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_t @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) @ Xd ) )
& ! [Xd: $i] :
( ~ ( le @ Xa @ Xb @ Xc @ Xd )
| ( s_e @ Xa @ Xb @ Xc @ ( insert @ Xa @ Xb @ Xc @ Xd ) ) )
& ! [Xd: $i] :
( ( le @ Xa @ Xb @ Xc @ Xd )
| ! [Y: $i] :
( ~ ( s_t @ Xc @ Y @ Xd )
| ~ ( s_e @ Xa @ Xb @ Xc @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(795,plain,
( ( ! [Xa: $i] :
( ! [Xp: $i] :
( ! [Xb: $i] :
~ ( sameside @ Xa @ Xp @ Xb )
| ( Xa != Xp ) )
& ! [Xp: $i,Xb: $i] :
( ~ ( sameside @ Xa @ Xp @ Xb )
| ( Xb != Xp ) )
& ! [Xp: $i,Xb: $i] :
( ( s_t @ Xp @ Xb @ Xa )
| ~ ( sameside @ Xa @ Xp @ Xb )
| ( s_t @ Xp @ Xa @ Xb ) )
& ! [Xp: $i,Xb: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ( xb = Xp )
| ~ ( s_t @ Xp @ Xa @ Xb )
| ( Xa = Xp ) )
& ! [Xp: $i,Xb: $i] :
( ( sameside @ Xa @ Xp @ Xb )
| ( Xb = Xp )
| ~ ( s_t @ Xp @ Xb @ Xa )
| ( Xa = Xp ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(796,plain,
( ( ! [Xa: $i] :
( ! [Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_t @ Xa @ Xm @ Xb ) )
& ! [Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_e @ Xm @ Xa @ Xm @ Xb ) )
& ! [Xm: $i,Xb: $i] :
( ( s_m @ Xa @ Xm @ Xb )
| ~ ( s_t @ Xa @ Xm @ Xb )
| ~ ( s_e @ Xm @ Xa @ Xm @ Xb ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(797,plain,
( ( ! [Xa1: $i,Xm1: $i,Xb1: $i,Xc: $i,Xb2: $i] :
( ! [Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xa1 @ Xc @ Xa2 ) )
& ( ! [Xm2: $i,Xa2: $i] :
~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_t @ Xb1 @ Xc @ Xb2 ) )
& ( ! [Xm2: $i,Xa2: $i] :
~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_e @ Xc @ Xa1 @ Xc @ Xb1 ) )
& ! [Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_e @ Xc @ Xa2 @ Xc @ Xb2 ) )
& ( ! [Xm2: $i,Xa2: $i] :
~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_m @ Xa1 @ Xm1 @ Xb1 ) )
& ! [Xm2: $i,Xa2: $i] :
( ~ ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ( s_m @ Xa2 @ Xm2 @ Xb2 ) )
& ! [Xm2: $i,Xa2: $i] :
( ( s_kf @ Xa1 @ Xm1 @ Xb1 @ Xc @ Xb2 @ Xm2 @ Xa2 )
| ~ ( s_t @ Xa1 @ Xc @ Xa2 )
| ~ ( s_t @ Xb1 @ Xc @ Xb2 )
| ~ ( s_e @ Xc @ Xa1 @ Xc @ Xb1 )
| ~ ( s_e @ Xc @ Xa2 @ Xc @ Xb2 )
| ~ ( s_m @ Xa1 @ Xm1 @ Xb1 )
| ~ ( s_m @ Xa2 @ Xm2 @ Xb2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(798,plain,
( ( ! [Xa: $i] :
( ! [Xb: $i,Xc: $i] :
( ~ ( s_r @ Xa @ Xb @ Xc )
| ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) ) )
& ! [Xb: $i,Xc: $i] :
( ( s_r @ Xa @ Xb @ Xc )
| ~ ( s_e @ Xa @ Xc @ Xa @ ( s @ Xb @ Xc ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(799,plain,
( ( ! [Y: $i,Z: $i,X: $i,Y1: $i,Z1: $i] :
( ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( s_col @ Y @ Z @ X ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( s_col @ Y1 @ Z1 @ X ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y != Z ) )
& ( ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ( Y1 != Z1 ) )
& ! [U: $i,V: $i] :
( ( s_r @ U @ X @ V )
| ~ ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ U )
| ~ ( s_col @ Y1 @ Z1 @ V ) )
& ( ( s_col @ Y @ Z @ ( f811 @ Y @ Z @ Y1 @ Z1 @ X ) )
| ( Y1 = Z1 )
| ( Y = Z )
| ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X ) )
& ( ( s_col @ Y1 @ Z1 @ ( g811 @ Y @ Z @ Y1 @ Z1 @ X ) )
| ( Y1 = Z1 )
| ( Y = Z )
| ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X ) )
& ( ( Y1 = Z1 )
| ( Y = Z )
| ( perpAt @ Y @ Z @ X @ Y1 @ Z1 )
| ~ ( s_col @ Y @ Z @ X )
| ~ ( s_col @ Y1 @ Z1 @ X )
| ~ ( s_r @ ( f811 @ Y @ Z @ Y1 @ Z1 @ X ) @ X @ ( g811 @ Y @ Z @ Y1 @ Z1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(800,plain,
( ( ! [Xp: $i,Xq: $i,Xp1: $i] :
( ! [Xq1: $i] :
( ~ ( perp @ Xp @ Xq @ Xp1 @ Xq1 )
| ( perpAt @ Xp @ Xq @ ( il @ Xp @ Xq @ Xp1 @ Xq1 ) @ Xp1 @ Xq1 ) )
& ! [Xq1: $i] :
( ( perp @ Xp @ Xq @ Xp1 @ Xq1 )
| ! [X: $i] :
~ ( perpAt @ Xp @ Xq @ X @ Xp1 @ Xq1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(801,plain,
( ( ! [Xp: $i,Xq: $i,Xa: $i] :
( ! [Xb: $i] :
( ( opposite @ Xa @ Xp @ Xq @ Xb )
| ! [Xt: $i] :
( ( s_col @ Xp @ Xq @ Xb )
| ( Xp = Xq )
| ( s_col @ Xp @ Xq @ Xa )
| ~ ( s_t @ Xa @ Xt @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xt ) ) )
& ( ! [Xb: $i] :
~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xa ) )
& ! [Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ~ ( s_col @ Xp @ Xq @ Xb ) )
& ! [Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( s_t @ Xa @ ( il @ Xa @ Xb @ Xp @ Xq ) @ Xb ) )
& ! [Xb: $i] :
( ~ ( opposite @ Xa @ Xp @ Xq @ Xb )
| ( s_col @ Xp @ Xq @ ( il @ Xa @ Xb @ Xp @ Xq ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(802,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i,Xu: $i] :
( ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_t @ Xa @ ( ss1 @ Xa @ Xb @ Xp @ Xq ) @ ( ss3 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_t @ Xb @ ( ss2 @ Xa @ Xb @ Xp @ Xq ) @ ( ss3 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xa
!= ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xb
!= ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( ( ss3 @ Xa @ Xb @ Xp @ Xq )
!= ( ss1 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( ( ss3 @ Xa @ Xb @ Xp @ Xq )
!= ( ss2 @ Xa @ Xb @ Xp @ Xq ) ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( Xp != Xq ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xp @ Xq @ Xa ) )
& ( ~ ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ~ ( s_col @ Xp @ Xq @ Xb ) )
& ( ( samesideline @ Xa @ Xb @ Xp @ Xq )
| ( s_col @ Xp @ Xq @ Xb )
| ( s_col @ Xp @ Xq @ Xa )
| ! [Xc: $i,Xv: $i] :
( ( Xb = Xv )
| ( Xa = Xu )
| ( Xc = Xv )
| ( Xc = Xu )
| ( Xp = Xq )
| ~ ( s_t @ Xa @ Xu @ Xc )
| ~ ( s_t @ Xb @ Xv @ Xc )
| ~ ( s_col @ Xp @ Xq @ Xu )
| ~ ( s_col @ Xp @ Xq @ Xv ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(803,plain,
( ( ~ ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 )
& ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
& ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
= sK4_SY905 )
& ( sK1_Xa != sK2_SY900 ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(804,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] : ( s_e @ SX1 @ ( ext @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX2 @ SX3 )
| ~ ! [SX2: $i,SX3: $i] : ( s_t @ SX0 @ SX1 @ ( ext @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[594]) ).
thf(805,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX3
= ( reflect @ SX0 @ SX1 @ SX2 ) )
| ( SX0 = SX1 )
| ~ ( s_col @ SX0 @ SX1 @ ( midpoint @ SX2 @ SX3 ) )
| ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( SX3
= ( reflect @ SX0 @ SX1 @ SX2 ) )
| ( SX2 != SX3 )
| ( SX0 = SX1 )
| ~ ( s_col @ SX0 @ SX1 @ ( midpoint @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[775]) ).
thf(806,plain,
( ( ~ ( ~ ~ ( ~ ~ ( s_t @ alpha @ beta @ gamma )
| ~ ~ ( s_t @ beta @ gamma @ alpha ) )
| ~ ~ ( s_t @ gamma @ alpha @ beta ) ) )
= $true ),
inference(unfold_def,[status(thm)],[598]) ).
thf(807,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i] :
( ( SX0 = SX1 )
| ! [SX2: $i] : ( perp @ SX0 @ SX1 @ ( erect @ SX0 @ SX1 @ SX2 ) @ SX0 ) )
| ~ ! [SX1: $i] :
( ( SX0 = SX1 )
| ! [SX2: $i] : ( s_col @ SX0 @ SX1 @ ( erectAux @ SX0 @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i] :
( ( SX0 = SX1 )
| ! [SX2: $i] : ( s_t @ SX2 @ ( erectAux @ SX0 @ SX1 @ SX2 ) @ ( erect @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[734]) ).
thf(808,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( le @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_t @ SX0 @ SX1 @ ( ins @ SX2 @ SX3 @ SX0 @ SX1 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( le @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_e @ SX0 @ ( ins @ SX2 @ SX3 @ SX0 @ SX1 ) @ SX2 @ SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( le @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ( ins @ SX2 @ SX3 @ SX0 @ SX1 )
= ( ext @ SX0 @ SX1 @ ( insert @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[646]) ).
thf(809,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( s_m @ SX0 @ SX1 @ SX2 )
| ( s_t @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( s_m @ SX0 @ SX1 @ SX2 )
| ( s_e @ SX1 @ SX0 @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( s_m @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_e @ SX1 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[796]) ).
thf(810,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( SX0 != SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( SX2 != SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( s_t @ SX1 @ SX2 @ SX0 )
| ~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( s_t @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( sameside @ SX0 @ SX1 @ SX2 )
| ( xb = SX1 )
| ~ ( s_t @ SX1 @ SX0 @ SX2 )
| ( SX0 = SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( sameside @ SX0 @ SX1 @ SX2 )
| ( SX2 = SX1 )
| ~ ( s_t @ SX1 @ SX2 @ SX0 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[795]) ).
thf(811,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( SX0 != SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( SX2 != SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( ( c63 @ SX0 @ SX1 @ SX2 )
!= SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( s_t @ SX0 @ SX1 @ ( c63 @ SX0 @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( s_t @ SX2 @ SX1 @ ( c63 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[660]) ).
thf(812,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_col @ SX2 @ SX3 @ ( ss1 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_col @ SX2 @ SX3 @ ( ss2 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_t @ SX0 @ ( ss1 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( ss3 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_t @ SX1 @ ( ss2 @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( ss3 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( SX0
!= ( ss1 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( SX1
!= ( ss2 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ( ss3 @ SX0 @ SX1 @ SX2 @ SX3 )
!= ( ss1 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ( ss3 @ SX0 @ SX1 @ SX2 @ SX3 )
!= ( ss2 @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( SX2 != SX3 ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( s_col @ SX2 @ SX3 @ SX0 ) ) )
| ~ ( ~ ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( s_col @ SX2 @ SX3 @ SX1 ) ) )
| ~ ( ( samesideline @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_col @ SX2 @ SX3 @ SX1 )
| ( s_col @ SX2 @ SX3 @ SX0 )
| ! [SX5: $i,SX6: $i] :
( ( SX1 = SX6 )
| ( SX0 = SX4 )
| ( SX5 = SX6 )
| ( SX5 = SX4 )
| ( SX2 = SX3 )
| ~ ( s_t @ SX0 @ SX4 @ SX5 )
| ~ ( s_t @ SX1 @ SX6 @ SX5 )
| ~ ( s_col @ SX2 @ SX3 @ SX4 )
| ~ ( s_col @ SX2 @ SX3 @ SX6 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[802]) ).
thf(813,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ( opposite @ SX2 @ SX0 @ SX1 @ SX3 )
| ! [SX4: $i] :
( ( s_col @ SX0 @ SX1 @ SX3 )
| ( SX0 = SX1 )
| ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX2 @ SX4 @ SX3 )
| ~ ( s_col @ SX0 @ SX1 @ SX4 ) ) )
| ~ ( ! [SX3: $i] :
~ ( opposite @ SX2 @ SX0 @ SX1 @ SX3 )
| ~ ( s_col @ SX0 @ SX1 @ SX2 ) ) )
| ~ ! [SX3: $i] :
( ~ ( opposite @ SX2 @ SX0 @ SX1 @ SX3 )
| ~ ( s_col @ SX0 @ SX1 @ SX3 ) ) )
| ~ ! [SX3: $i] :
( ~ ( opposite @ SX2 @ SX0 @ SX1 @ SX3 )
| ( s_t @ SX2 @ ( il @ SX2 @ SX3 @ SX0 @ SX1 ) @ SX3 ) ) )
| ~ ! [SX3: $i] :
( ~ ( opposite @ SX2 @ SX0 @ SX1 @ SX3 )
| ( s_col @ SX0 @ SX1 @ ( il @ SX2 @ SX3 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[801]) ).
thf(814,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ! [SX3: $i,SX4: $i] :
( ( SX3 = SX2 )
| ( SX0 = SX1 )
| ~ ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_col @ SX0 @ SX1 @ SX3 )
| ~ ( s_col @ SX0 @ SX1 @ SX4 )
| ~ ( perp @ SX0 @ SX1 @ SX4 @ SX2 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ( s_r @ SX4 @ SX2 @ SX3 )
| ( SX3 = SX2 )
| ( SX0 = SX1 )
| ~ ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_col @ SX0 @ SX1 @ SX3 )
| ~ ( perp @ SX0 @ SX1 @ SX4 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[725]) ).
thf(815,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( s_r @ SX0 @ SX1 @ SX2 )
| ( s_e @ SX0 @ SX2 @ SX0 @ ( s @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( s_r @ SX0 @ SX1 @ SX2 )
| ~ ( s_e @ SX0 @ SX2 @ SX0 @ ( s @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[798]) ).
thf(816,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( s_t @ SX2 @ SX0 @ SX1 )
| ( s_t @ SX1 @ SX2 @ SX0 )
| ~ ( s_col @ SX0 @ SX1 @ SX2 )
| ( s_t @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[792]) ).
thf(817,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ! [SX3: $i,SX4: $i] :
( ( s_t @ SX3 @ ( insert @ SX0 @ SX1 @ SX3 @ SX4 ) @ SX4 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_e @ SX0 @ SX2 @ SX3 @ SX4 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ( s_e3 @ SX0 @ SX1 @ SX2 @ SX3 @ ( insert @ SX0 @ SX1 @ SX3 @ SX4 ) @ SX4 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_e @ SX0 @ SX2 @ SX3 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[628]) ).
thf(818,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX6: $i,SX7: $i] :
~ ( s_afs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_t @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX6: $i] :
( ! [SX7: $i] :
~ ( s_afs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_t @ SX4 @ SX5 @ SX6 ) ) )
| ~ ( ! [SX6: $i,SX7: $i] :
~ ( s_afs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
| ~ ! [SX6: $i] :
( ! [SX7: $i] :
~ ( s_afs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX1 @ SX2 @ SX5 @ SX6 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( s_afs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX0 @ SX3 @ SX4 @ SX7 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( s_afs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX1 @ SX3 @ SX5 @ SX7 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ( s_afs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX4 @ SX5 @ SX6 )
| ~ ( s_e @ SX0 @ SX1 @ SX4 @ SX5 )
| ~ ( s_e @ SX1 @ SX2 @ SX5 @ SX6 )
| ~ ( s_e @ SX0 @ SX3 @ SX4 @ SX7 )
| ~ ( s_e @ SX1 @ SX3 @ SX5 @ SX7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[789]) ).
thf(819,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( s_col @ SX0 @ SX1 @ SX2 ) )
| ~ ( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( s_col @ SX3 @ SX4 @ SX2 ) ) )
| ~ ( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( SX0 != SX1 ) ) )
| ~ ( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( SX3 != SX4 ) ) )
| ~ ! [SX5: $i,SX6: $i] :
( ( s_r @ SX5 @ SX2 @ SX6 )
| ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( s_col @ SX0 @ SX1 @ SX5 )
| ~ ( s_col @ SX3 @ SX4 @ SX6 ) ) )
| ~ ( ( s_col @ SX0 @ SX1 @ ( f811 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) )
| ( SX3 = SX4 )
| ( SX0 = SX1 )
| ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_col @ SX3 @ SX4 @ SX2 ) ) )
| ~ ( ( s_col @ SX3 @ SX4 @ ( g811 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) )
| ( SX3 = SX4 )
| ( SX0 = SX1 )
| ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_col @ SX3 @ SX4 @ SX2 ) ) )
| ~ ( ( SX3 = SX4 )
| ( SX0 = SX1 )
| ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_col @ SX3 @ SX4 @ SX2 )
| ~ ( s_r @ ( f811 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) @ SX2 @ ( g811 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[799]) ).
thf(820,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ! [SX3: $i,SX4: $i] :
( ( s_t @ SX1 @ ( ip @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) @ SX3 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX3 @ SX4 @ SX2 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ( s_t @ SX4 @ ( ip @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) @ SX0 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX3 @ SX4 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[597]) ).
thf(821,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX3: $i,SX4: $i] :
~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( SX0 != SX1 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( SX3 != SX4 ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( s_col @ SX3 @ SX4 @ SX2 ) ) )
| ~ ( ! [SX3: $i,SX4: $i] :
~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( s_col @ SX0 @ SX1 @ SX2 ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( s_col @ SX0 @ SX1 @ ( f813 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( s_col @ SX3 @ SX4 @ ( g813 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( SX2
!= ( f813 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( SX2
!= ( g813 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ~ ( perpAt @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ( s_r @ ( f813 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) @ SX2 @ ( g813 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[719]) ).
thf(822,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( le @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_t @ SX2 @ ( insert @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( le @ SX0 @ SX1 @ SX2 @ SX3 )
| ( s_e @ SX0 @ SX1 @ SX2 @ ( insert @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
| ~ ! [SX3: $i] :
( ( le @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( s_t @ SX2 @ SX4 @ SX3 )
| ~ ( s_e @ SX0 @ SX1 @ SX2 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[794]) ).
thf(823,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ! [SX4: $i,SX5: $i] :
( ( s_t @ SX5 @ ( crossbar @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ SX2 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX3 @ SX4 @ SX2 )
| ~ ( s_t @ SX0 @ SX5 @ SX3 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ( s_t @ SX1 @ ( crossbar @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) @ SX4 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX3 @ SX4 @ SX2 )
| ~ ( s_t @ SX0 @ SX5 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[625]) ).
thf(824,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ! [SX3: $i,SX4: $i] :
( ( s_t @ SX0 @ ( op @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX3 @ SX4 @ SX1 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ( s_t @ SX2 @ SX4 @ ( op @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX3 @ SX4 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[759]) ).
thf(825,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX6: $i,SX7: $i] :
~ ( s_fs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_col @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX6: $i] :
( ! [SX7: $i] :
~ ( s_fs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e3 @ SX0 @ SX1 @ SX2 @ SX4 @ SX5 @ SX6 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( s_fs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX0 @ SX3 @ SX4 @ SX7 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( s_fs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX1 @ SX3 @ SX5 @ SX7 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ( s_fs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ~ ( s_col @ SX0 @ SX1 @ SX2 )
| ~ ( s_e3 @ SX0 @ SX1 @ SX2 @ SX4 @ SX5 @ SX6 )
| ~ ( s_e @ SX0 @ SX3 @ SX4 @ SX7 )
| ~ ( s_e @ SX1 @ SX3 @ SX5 @ SX7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[793]) ).
thf(826,plain,
( ( ~ ( ~ ~ ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 )
| ~ ~ ( ~ ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
| ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ~ ( ( sK1_Xa != sK2_SY900 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[803]) ).
thf(827,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i] :
( ( SX0 = SX1 )
| ! [SX2: $i] : ( s_col @ SX0 @ SX1 @ ( midpoint @ SX2 @ ( reflect @ SX0 @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( perp @ SX0 @ SX1 @ SX2 @ ( reflect @ SX0 @ SX1 @ SX2 ) )
| ( SX0 = SX1 )
| ( SX2
= ( reflect @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[774]) ).
thf(828,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ( s_col @ SX0 @ SX1 @ SX2 )
| ( SX0 = SX1 )
| ( perp @ SX0 @ SX1 @ ( erect21a @ SX0 @ SX1 @ SX2 ) @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( s_col @ SX0 @ SX1 @ SX2 )
| ( SX0 = SX1 )
| ( s_col @ SX0 @ SX1 @ ( erectAux21a @ SX0 @ SX1 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( s_col @ SX0 @ SX1 @ SX2 )
| ( SX0 = SX1 )
| ( s_t @ SX2 @ ( erectAux21a @ SX0 @ SX1 @ SX2 ) @ ( erect21a @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[733]) ).
thf(829,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX5: $i,SX6: $i] :
( ~ ( s_kf @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 )
| ( s_t @ SX0 @ SX3 @ SX6 ) )
| ~ ( ! [SX5: $i,SX6: $i] :
~ ( s_kf @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 )
| ( s_t @ SX2 @ SX3 @ SX4 ) ) )
| ~ ( ! [SX5: $i,SX6: $i] :
~ ( s_kf @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 )
| ( s_e @ SX3 @ SX0 @ SX3 @ SX2 ) ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( s_kf @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 )
| ( s_e @ SX3 @ SX6 @ SX3 @ SX4 ) ) )
| ~ ( ! [SX5: $i,SX6: $i] :
~ ( s_kf @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 )
| ( s_m @ SX0 @ SX1 @ SX2 ) ) )
| ~ ! [SX5: $i,SX6: $i] :
( ~ ( s_kf @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 )
| ( s_m @ SX6 @ SX5 @ SX4 ) ) )
| ~ ! [SX5: $i,SX6: $i] :
( ( s_kf @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 )
| ~ ( s_t @ SX0 @ SX3 @ SX6 )
| ~ ( s_t @ SX2 @ SX3 @ SX4 )
| ~ ( s_e @ SX3 @ SX0 @ SX3 @ SX2 )
| ~ ( s_e @ SX3 @ SX6 @ SX3 @ SX4 )
| ~ ( s_m @ SX0 @ SX1 @ SX2 )
| ~ ( s_m @ SX6 @ SX5 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[797]) ).
thf(830,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( sameside @ SX0 @ SX1 @ SX2 )
| ( s_col @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( sameside @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[662]) ).
thf(831,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ! [SX3: $i] :
( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
| ( perpAt @ SX0 @ SX1 @ ( il @ SX0 @ SX1 @ SX2 @ SX3 ) @ SX2 @ SX3 ) )
| ~ ! [SX3: $i] :
( ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
~ ( perpAt @ SX0 @ SX1 @ SX4 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[800]) ).
thf(832,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( sameside @ ( insert @ SX2 @ SX3 @ SX1 @ SX0 ) @ SX1 @ SX0 )
| ( SX0 = SX1 )
| ( SX2 = SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( s_e @ SX1 @ ( insert @ SX2 @ SX3 @ SX1 @ SX0 ) @ SX2 @ SX3 )
| ( SX0 = SX1 )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[667]) ).
thf(833,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( s_col @ SX0 @ SX1 @ SX2 )
| ( s_col @ SX0 @ SX1 @ ( foot @ SX0 @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( perp @ SX0 @ SX1 @ SX2 @ ( foot @ SX0 @ SX1 @ SX2 ) )
| ( s_col @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[728]) ).
thf(834,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SX6: $i,SX7: $i] :
~ ( s_ifs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_t @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX6: $i] :
( ! [SX7: $i] :
~ ( s_ifs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_t @ SX4 @ SX5 @ SX6 ) ) )
| ~ ! [SX6: $i] :
( ! [SX7: $i] :
~ ( s_ifs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX0 @ SX2 @ SX4 @ SX6 ) ) )
| ~ ! [SX6: $i] :
( ! [SX7: $i] :
~ ( s_ifs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX1 @ SX2 @ SX5 @ SX6 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( s_ifs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX0 @ SX3 @ SX4 @ SX7 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ~ ( s_ifs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ( s_e @ SX2 @ SX3 @ SX6 @ SX7 ) ) )
| ~ ! [SX6: $i,SX7: $i] :
( ( s_ifs @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ~ ( s_t @ SX0 @ SX1 @ SX2 )
| ~ ( s_t @ SX4 @ SX5 @ SX6 )
| ~ ( s_e @ SX0 @ SX2 @ SX4 @ SX6 )
| ~ ( s_e @ SX1 @ SX2 @ SX5 @ SX6 )
| ~ ( s_e @ SX0 @ SX3 @ SX4 @ SX7 )
| ~ ( s_e @ SX2 @ SX3 @ SX6 @ SX7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[790]) ).
thf(835,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ! [SX5: $i] :
~ ( s_e3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
| ( s_e @ SX0 @ SX1 @ SX3 @ SX4 ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( s_e3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
| ( s_e @ SX0 @ SX2 @ SX3 @ SX5 ) ) )
| ~ ! [SX4: $i,SX5: $i] :
( ~ ( s_e3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
| ( s_e @ SX1 @ SX2 @ SX4 @ SX5 ) ) )
| ~ ! [SX4: $i,SX5: $i] :
( ( s_e3 @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
| ~ ( s_e @ SX0 @ SX1 @ SX3 @ SX4 )
| ~ ( s_e @ SX0 @ SX2 @ SX3 @ SX5 )
| ~ ( s_e @ SX1 @ SX2 @ SX4 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[791]) ).
thf(836,plain,
! [SV1: $i] :
( ( ! [SY906: $i] : ( s_e @ SV1 @ SY906 @ SY906 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(837,plain,
! [SV2: $i] :
( ( ! [SY907: $i,SY908: $i,SY909: $i,SY910: $i,SY911: $i] :
( ( s_e @ SY908 @ SY909 @ SY910 @ SY911 )
| ~ ( s_e @ SV2 @ SY907 @ SY908 @ SY909 )
| ~ ( s_e @ SV2 @ SY907 @ SY910 @ SY911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(838,plain,
! [SV3: $i] :
( ( ! [SY912: $i] :
( ! [SY913: $i] :
~ ( s_e @ SV3 @ SY912 @ SY913 @ SY913 )
| ( SV3 = SY912 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(839,plain,
! [SV4: $i] :
( ( ! [SY914: $i,SY915: $i,SY916: $i,SY917: $i,SY918: $i,SY919: $i,SY920: $i] :
( ( s_e @ SY917 @ SY919 @ SY918 @ SY920 )
| ( SV4 = SY914 )
| ~ ( s_e @ SV4 @ SY914 @ SY915 @ SY916 )
| ~ ( s_e @ SY914 @ SY917 @ SY916 @ SY918 )
| ~ ( s_e @ SV4 @ SY919 @ SY915 @ SY920 )
| ~ ( s_e @ SY914 @ SY919 @ SY916 @ SY920 )
| ~ ( s_t @ SV4 @ SY914 @ SY917 )
| ~ ( s_t @ SY915 @ SY916 @ SY918 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(840,plain,
! [SV5: $i] :
( ( ! [SY921: $i] :
( ~ ( s_t @ SV5 @ SY921 @ SV5 )
| ( SV5 = SY921 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(841,plain,
! [SV6: $i] :
( ( ! [SY922: $i] : ( s_e @ SV6 @ SY922 @ SV6 @ SY922 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(842,plain,
! [SV7: $i] :
( ( ! [SY923: $i,SY924: $i,SY925: $i] :
( ~ ( s_e @ SV7 @ SY923 @ SY924 @ SY925 )
| ( s_e @ SY924 @ SY925 @ SV7 @ SY923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(843,plain,
! [SV8: $i] :
( ( ! [SY926: $i,SY927: $i,SY928: $i,SY929: $i,SY930: $i] :
( ( s_e @ SV8 @ SY926 @ SY929 @ SY930 )
| ~ ( s_e @ SV8 @ SY926 @ SY927 @ SY928 )
| ~ ( s_e @ SY927 @ SY928 @ SY929 @ SY930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(844,plain,
! [SV9: $i] :
( ( ! [SY931: $i,SY932: $i,SY933: $i] :
( ~ ( s_e @ SV9 @ SY931 @ SY932 @ SY933 )
| ( s_e @ SY931 @ SV9 @ SY932 @ SY933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(845,plain,
! [SV10: $i] :
( ( ! [SY934: $i,SY935: $i,SY936: $i] :
( ~ ( s_e @ SV10 @ SY934 @ SY935 @ SY936 )
| ( s_e @ SV10 @ SY934 @ SY936 @ SY935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(846,plain,
! [SV11: $i] :
( ( ! [SY937: $i] : ( s_e @ SV11 @ SV11 @ SY937 @ SY937 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(847,plain,
! [SV12: $i] :
( ( ! [SY938: $i,SY939: $i,SY940: $i,SY941: $i,SY942: $i] :
( ( s_e @ SV12 @ SY939 @ SY940 @ SY942 )
| ~ ( s_t @ SV12 @ SY938 @ SY939 )
| ~ ( s_t @ SY940 @ SY941 @ SY942 )
| ~ ( s_e @ SV12 @ SY938 @ SY940 @ SY941 )
| ~ ( s_e @ SY938 @ SY939 @ SY941 @ SY942 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(848,plain,
! [SV13: $i] :
( ( ! [SY943: $i,SY944: $i,SY945: $i,SY946: $i] :
( ( SY944
= ( ext @ SV13 @ SY943 @ SY945 @ SY946 ) )
| ( SV13 = SY943 )
| ~ ( s_t @ SV13 @ SY943 @ SY944 )
| ~ ( s_e @ SY943 @ SY944 @ SY945 @ SY946 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(849,plain,
! [SV14: $i] :
( ( ! [SY947: $i] :
( ! [SY948: $i] :
~ ( s_e @ SV14 @ SY947 @ SY948 @ SY948 )
| ( SV14 = SY947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(850,plain,
! [SV15: $i] :
( ( ! [SY949: $i,SY950: $i,SY951: $i] :
( ~ ( s_e @ SV15 @ SY949 @ SY950 @ SY951 )
| ( s_e @ SY949 @ SV15 @ SY951 @ SY950 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(851,plain,
! [SV16: $i] :
( ( ! [SY952: $i,SY953: $i,SY954: $i,SY955: $i,SY956: $i] :
( ( s_e @ SV16 @ SY953 @ SY954 @ SY956 )
| ~ ( s_t @ SV16 @ SY952 @ SY953 )
| ~ ( s_t @ SY954 @ SY955 @ SY956 )
| ~ ( s_e @ SV16 @ SY952 @ SY955 @ SY956 )
| ~ ( s_e @ SY952 @ SY953 @ SY954 @ SY955 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(852,plain,
! [SV17: $i] :
( ( ! [SY957: $i] : ( s_t @ SV17 @ SY957 @ SY957 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(853,plain,
! [SV18: $i] :
( ( ! [SY958: $i,SY959: $i] :
( ~ ( s_t @ SV18 @ SY958 @ SY959 )
| ( s_t @ SY959 @ SY958 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(854,plain,
! [SV19: $i] :
( ( ! [SY960: $i] : ( s_t @ SV19 @ SV19 @ SY960 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(855,plain,
! [SV20: $i] :
( ( ! [SY961: $i] :
( ( SV20 = SY961 )
| ! [SY962: $i] :
( ~ ( s_t @ SV20 @ SY961 @ SY962 )
| ~ ( s_t @ SY961 @ SV20 @ SY962 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(856,plain,
! [SV21: $i] :
( ( ! [SY963: $i,SY964: $i,SY965: $i] :
( ( s_t @ SV21 @ SY963 @ SY965 )
| ~ ( s_t @ SV21 @ SY963 @ SY964 )
| ~ ( s_t @ SY963 @ SY965 @ SY964 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(857,plain,
! [SV22: $i] :
( ( ! [SY966: $i,SY967: $i,SY968: $i] :
( ( s_t @ SY966 @ SY967 @ SY968 )
| ~ ( s_t @ SV22 @ SY966 @ SY967 )
| ~ ( s_t @ SV22 @ SY967 @ SY968 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(858,plain,
! [SV23: $i] :
( ( ! [SY969: $i,SY970: $i,SY971: $i] :
( ( s_t @ SV23 @ SY970 @ SY971 )
| ( SY969 = SY970 )
| ~ ( s_t @ SV23 @ SY969 @ SY970 )
| ~ ( s_t @ SY969 @ SY970 @ SY971 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(859,plain,
! [SV24: $i] :
( ( ! [SY972: $i,SY973: $i,SY974: $i] :
( ( s_t @ SV24 @ SY974 @ SY973 )
| ~ ( s_t @ SV24 @ SY972 @ SY973 )
| ~ ( s_t @ SY972 @ SY974 @ SY973 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(860,plain,
! [SV25: $i] :
( ( ! [SY975: $i,SY976: $i,SY977: $i] :
( ( s_t @ SV25 @ SY975 @ SY977 )
| ~ ( s_t @ SV25 @ SY975 @ SY976 )
| ~ ( s_t @ SV25 @ SY976 @ SY977 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(861,plain,
! [SV26: $i] :
( ( ! [SY978: $i,SY979: $i,SY980: $i] :
( ( s_t @ SV26 @ SY978 @ SY980 )
| ( SY978 = SY979 )
| ~ ( s_t @ SV26 @ SY978 @ SY979 )
| ~ ( s_t @ SY978 @ SY979 @ SY980 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(862,plain,
( ( alpha = beta )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(863,plain,
( ( beta = gamma )
= $false ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(864,plain,
( ( alpha = gamma )
= $false ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(865,plain,
! [SV27: $i] :
( ( ! [SY981: $i] : ( s_t @ SV27 @ SY981 @ ( ext @ SV27 @ SY981 @ alpha @ gamma ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(866,plain,
! [SV28: $i] :
( ( ! [SY982: $i] :
( SV28
!= ( ext @ SY982 @ SV28 @ alpha @ gamma ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(867,plain,
! [SV29: $i] :
( ( ! [SY983: $i,SY984: $i,SY985: $i,SY986: $i,SY987: $i,SY988: $i,SY989: $i] :
( ~ ( s_ifs @ SV29 @ SY983 @ SY984 @ SY985 @ SY986 @ SY987 @ SY988 @ SY989 )
| ( s_e @ SY983 @ SY985 @ SY987 @ SY989 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(868,plain,
! [SV30: $i] :
( ( ! [SY990: $i,SY991: $i,SY992: $i,SY993: $i] :
( ( s_e @ SV30 @ SY990 @ SY992 @ SY993 )
| ! [SY994: $i] :
( ~ ( s_t @ SV30 @ SY990 @ SY991 )
| ~ ( s_t @ SY992 @ SY993 @ SY994 )
| ~ ( s_e @ SV30 @ SY991 @ SY992 @ SY994 )
| ~ ( s_e @ SY990 @ SY991 @ SY993 @ SY994 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(869,plain,
! [SV31: $i] :
( ( ! [SY995: $i,SY996: $i,SY997: $i,SY998: $i,SY999: $i] :
( ( s_t @ SY997 @ SY998 @ SY999 )
| ~ ( s_t @ SV31 @ SY995 @ SY996 )
| ~ ( s_e3 @ SV31 @ SY995 @ SY996 @ SY997 @ SY998 @ SY999 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(870,plain,
! [SV32: $i] :
( ( ! [SY1000: $i,SY1001: $i] :
( ~ ( s_col @ SV32 @ SY1000 @ SY1001 )
| ( s_col @ SY1000 @ SY1001 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(871,plain,
! [SV33: $i] :
( ( ! [SY1002: $i,SY1003: $i] :
( ~ ( s_col @ SV33 @ SY1002 @ SY1003 )
| ( s_col @ SY1003 @ SV33 @ SY1002 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(872,plain,
! [SV34: $i] :
( ( ! [SY1004: $i,SY1005: $i] :
( ~ ( s_col @ SV34 @ SY1004 @ SY1005 )
| ( s_col @ SY1005 @ SY1004 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(873,plain,
! [SV35: $i] :
( ( ! [SY1006: $i,SY1007: $i] :
( ~ ( s_col @ SV35 @ SY1006 @ SY1007 )
| ( s_col @ SY1006 @ SV35 @ SY1007 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(874,plain,
! [SV36: $i] :
( ( ! [SY1008: $i,SY1009: $i] :
( ~ ( s_col @ SV36 @ SY1008 @ SY1009 )
| ( s_col @ SV36 @ SY1009 @ SY1008 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(875,plain,
! [SV37: $i] :
( ( ! [SY1010: $i] : ( s_col @ SV37 @ SV37 @ SY1010 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(876,plain,
! [SV38: $i] :
( ( ! [SY1011: $i] : ( s_col @ SV38 @ SY1011 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(877,plain,
! [SV39: $i] :
( ( ! [SY1012: $i,SY1013: $i,SY1014: $i,SY1015: $i,SY1016: $i] :
( ( s_col @ SY1014 @ SY1015 @ SY1016 )
| ~ ( s_col @ SV39 @ SY1012 @ SY1013 )
| ~ ( s_e3 @ SV39 @ SY1012 @ SY1013 @ SY1014 @ SY1015 @ SY1016 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(878,plain,
! [SV40: $i] :
( ( ! [SY1017: $i,SY1018: $i,SY1019: $i,SY1020: $i] :
( ( s_e3 @ SV40 @ SY1017 @ SY1018 @ SY1019 @ SY1020 @ ( insert5 @ SV40 @ SY1017 @ SY1018 @ SY1019 @ SY1020 ) )
| ~ ( s_col @ SV40 @ SY1017 @ SY1018 )
| ~ ( s_e @ SV40 @ SY1017 @ SY1019 @ SY1020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(879,plain,
! [SV41: $i] :
( ( ! [SY1021: $i,SY1022: $i,SY1023: $i,SY1024: $i,SY1025: $i,SY1026: $i,SY1027: $i] :
( ( s_e @ SY1022 @ SY1023 @ SY1026 @ SY1027 )
| ~ ( s_fs @ SV41 @ SY1021 @ SY1022 @ SY1023 @ SY1024 @ SY1025 @ SY1026 @ SY1027 )
| ( SV41 = SY1021 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(880,plain,
! [SV42: $i] :
( ( ! [SY1028: $i,SY1029: $i,SY1030: $i,SY1031: $i] :
( ( s_e @ SY1029 @ SY1030 @ SY1029 @ SY1031 )
| ( SV42 = SY1028 )
| ~ ( s_col @ SV42 @ SY1028 @ SY1029 )
| ~ ( s_e @ SV42 @ SY1030 @ SV42 @ SY1031 )
| ~ ( s_e @ SY1028 @ SY1030 @ SY1028 @ SY1031 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(881,plain,
! [SV43: $i] :
( ( ! [SY1032: $i,SY1033: $i,SY1034: $i] :
( ( SY1033 = SY1034 )
| ( SV43 = SY1032 )
| ~ ( s_col @ SV43 @ SY1032 @ SY1033 )
| ~ ( s_e @ SV43 @ SY1033 @ SV43 @ SY1034 )
| ~ ( s_e @ SY1032 @ SY1033 @ SY1032 @ SY1034 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(882,plain,
! [SV44: $i] :
( ( ! [SY1035: $i,SY1036: $i,SY1037: $i] :
( ( SY1035 = SY1037 )
| ~ ( s_t @ SV44 @ SY1035 @ SY1036 )
| ~ ( s_e @ SV44 @ SY1035 @ SV44 @ SY1037 )
| ~ ( s_e @ SY1036 @ SY1035 @ SY1036 @ SY1037 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(883,plain,
! [SV45: $i] :
( ( ! [SY1038: $i,SY1039: $i,SY1040: $i] :
( ( s_t @ SV45 @ SY1040 @ SY1039 )
| ( s_t @ SV45 @ SY1039 @ SY1040 )
| ( SV45 = SY1038 )
| ~ ( s_t @ SV45 @ SY1038 @ SY1039 )
| ~ ( s_t @ SV45 @ SY1038 @ SY1040 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(884,plain,
! [SV46: $i] :
( ( ! [SY1041: $i,SY1042: $i,SY1043: $i] :
( ( s_t @ SY1041 @ SY1043 @ SY1042 )
| ( s_t @ SY1041 @ SY1042 @ SY1043 )
| ( SV46 = SY1041 )
| ~ ( s_t @ SV46 @ SY1041 @ SY1042 )
| ~ ( s_t @ SV46 @ SY1041 @ SY1043 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(885,plain,
! [SV47: $i] :
( ( ! [SY1044: $i,SY1045: $i,SY1046: $i] :
( ( s_t @ SV47 @ SY1046 @ SY1044 )
| ( s_t @ SV47 @ SY1044 @ SY1046 )
| ~ ( s_t @ SV47 @ SY1044 @ SY1045 )
| ~ ( s_t @ SV47 @ SY1046 @ SY1045 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(886,plain,
! [SV48: $i] :
( ( ! [SY1047: $i,SY1048: $i,SY1049: $i,SY1050: $i] :
( ( le @ SV48 @ SY1047 @ SY1048 @ SY1049 )
| ~ ( s_t @ SV48 @ SY1047 @ SY1050 )
| ~ ( s_e @ SV48 @ SY1050 @ SY1048 @ SY1049 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(887,plain,
! [SV49: $i] :
( ( ! [SY1051: $i,SY1052: $i,SY1053: $i,SY1054: $i,SY1055: $i,SY1056: $i,SY1057: $i] :
( ( le @ SY1054 @ SY1055 @ SY1056 @ SY1057 )
| ~ ( le @ SV49 @ SY1051 @ SY1052 @ SY1053 )
| ~ ( s_e @ SV49 @ SY1051 @ SY1054 @ SY1055 )
| ~ ( s_e @ SY1052 @ SY1053 @ SY1056 @ SY1057 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(888,plain,
! [SV50: $i] :
( ( ! [SY1058: $i] : ( le @ SV50 @ SY1058 @ SV50 @ SY1058 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(889,plain,
! [SV51: $i] :
( ( ! [SY1059: $i,SY1060: $i,SY1061: $i,SY1062: $i,SY1063: $i] :
( ( le @ SV51 @ SY1059 @ SY1062 @ SY1063 )
| ~ ( le @ SV51 @ SY1059 @ SY1060 @ SY1061 )
| ~ ( le @ SY1060 @ SY1061 @ SY1062 @ SY1063 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(890,plain,
! [SV52: $i] :
( ( ! [SY1064: $i,SY1065: $i,SY1066: $i] :
( ( s_e @ SV52 @ SY1064 @ SY1065 @ SY1066 )
| ~ ( le @ SV52 @ SY1064 @ SY1065 @ SY1066 )
| ~ ( le @ SY1065 @ SY1066 @ SV52 @ SY1064 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(891,plain,
! [SV53: $i] :
( ( ! [SY1067: $i,SY1068: $i,SY1069: $i] :
( ( le @ SV53 @ SY1067 @ SY1068 @ SY1069 )
| ( le @ SY1068 @ SY1069 @ SV53 @ SY1067 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(892,plain,
! [SV54: $i] :
( ( ! [SY1070: $i,SY1071: $i] : ( le @ SV54 @ SV54 @ SY1070 @ SY1071 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(893,plain,
! [SV55: $i] :
( ( ! [SY1072: $i,SY1073: $i] :
( ( le @ SV55 @ SY1072 @ SV55 @ SY1073 )
| ~ ( s_col @ SV55 @ SY1072 @ SY1073 )
| ~ ( s_t @ SV55 @ SY1072 @ SY1073 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(894,plain,
! [SV56: $i] :
( ( ! [SY1074: $i,SY1075: $i] :
( ( le @ SY1074 @ SY1075 @ SV56 @ SY1075 )
| ~ ( s_col @ SV56 @ SY1074 @ SY1075 )
| ~ ( s_t @ SV56 @ SY1074 @ SY1075 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(895,plain,
! [SV57: $i] :
( ( ! [SY1076: $i,SY1077: $i] :
( ( SY1077 = SY1076 )
| ~ ( s_t @ SV57 @ SY1076 @ SY1077 )
| ~ ( s_e @ SV57 @ SY1077 @ SV57 @ SY1076 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(896,plain,
! [SV58: $i] :
( ( ! [SY1078: $i,SY1079: $i] :
( ~ ( s_col @ SV58 @ SY1078 @ SY1079 )
| ( s_t @ SV58 @ SY1078 @ SY1079 )
| ~ ( le @ SV58 @ SY1078 @ SV58 @ SY1079 )
| ~ ( le @ SY1078 @ SY1079 @ SV58 @ SY1079 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(897,plain,
! [SV59: $i] :
( ( ! [SY1080: $i,SY1081: $i] :
( ( sameside @ SV59 @ SY1080 @ SY1081 )
| ! [SY1082: $i] :
( ( SY1082 = SY1080 )
| ( SV59 = SY1080 )
| ( SY1081 = SY1080 )
| ~ ( s_t @ SV59 @ SY1080 @ SY1082 )
| ~ ( s_t @ SY1081 @ SY1080 @ SY1082 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(898,plain,
! [SV60: $i] :
( ( ! [SY1083: $i,SY1084: $i] :
( ! [SY1085: $i] :
( ( s_t @ SY1084 @ SY1083 @ SY1085 )
| ( SY1085 = SY1083 )
| ( SV60 = SY1083 )
| ( SY1084 = SY1083 )
| ~ ( s_t @ SV60 @ SY1083 @ SY1085 ) )
| ~ ( sameside @ SV60 @ SY1083 @ SY1084 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(899,plain,
! [SV61: $i] :
( ( ! [SY1086: $i,SY1087: $i,SY1088: $i] :
( ( SY1088 = SY1086 )
| ( SY1087 = SY1086 )
| ( SV61 = SY1086 )
| ( sameside @ SV61 @ SY1086 @ SY1087 )
| ~ ( s_t @ SV61 @ SY1086 @ SY1088 )
| ~ ( s_t @ SY1087 @ SY1086 @ SY1088 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(900,plain,
! [SV62: $i] :
( ( ! [SY1089: $i,SY1090: $i] :
( ( s_t @ SV62 @ SY1089 @ SY1090 )
| ( sameside @ SV62 @ SY1089 @ SY1090 )
| ~ ( s_col @ SV62 @ SY1089 @ SY1090 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(901,plain,
! [SV63: $i] :
( ( ! [SY1091: $i] :
( ( SV63 = SY1091 )
| ( sameside @ SV63 @ SY1091 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(902,plain,
! [SV64: $i] :
( ( ! [SY1092: $i,SY1093: $i] :
( ~ ( sameside @ SV64 @ SY1092 @ SY1093 )
| ( sameside @ SY1093 @ SY1092 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(903,plain,
! [SV65: $i] :
( ( ! [SY1094: $i,SY1095: $i,SY1096: $i] :
( ( sameside @ SV65 @ SY1094 @ SY1096 )
| ~ ( sameside @ SV65 @ SY1094 @ SY1095 )
| ~ ( sameside @ SY1095 @ SY1094 @ SY1096 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(904,plain,
! [SV66: $i] :
( ( ! [SY1097: $i,SY1098: $i,SY1099: $i,SY1100: $i,SY1101: $i] :
( ( SY1100 = SY1101 )
| ( SV66 = SY1097 )
| ( SY1098 = SY1099 )
| ~ ( sameside @ SY1100 @ SY1097 @ SV66 )
| ~ ( s_e @ SY1097 @ SY1100 @ SY1098 @ SY1099 )
| ~ ( sameside @ SY1101 @ SY1097 @ SV66 )
| ~ ( s_e @ SY1097 @ SY1101 @ SY1098 @ SY1099 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(905,plain,
! [SV67: $i] :
( ( ! [SY1102: $i,SY1103: $i] :
( ( s_t @ SY1102 @ SV67 @ SY1103 )
| ~ ( sameside @ SV67 @ SY1102 @ SY1103 )
| ~ ( le @ SY1102 @ SV67 @ SY1102 @ SY1103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(906,plain,
! [SV68: $i] :
( ( ! [SY1104: $i,SY1105: $i] :
( ~ ( sameside @ SV68 @ SY1104 @ SY1105 )
| ( le @ SY1104 @ SV68 @ SY1104 @ SY1105 )
| ~ ( s_t @ SY1104 @ SV68 @ SY1105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(907,plain,
! [SV69: $i] :
( ( ! [SY1106: $i,SY1107: $i,SY1108: $i] :
( ( sameside @ SY1108 @ SV69 @ SY1107 )
| ( sameside @ SY1108 @ SV69 @ SY1106 )
| ( SY1108 = SV69 )
| ( SV69 = SY1106 )
| ( SV69 = SY1107 )
| ~ ( s_t @ SY1106 @ SV69 @ SY1107 )
| ~ ( s_col @ SY1108 @ SV69 @ SY1106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(908,plain,
! [SV70: $i] :
( ( ! [SY1109: $i,SY1110: $i,SY1111: $i] :
( ( s_col @ SY1111 @ SV70 @ SY1109 )
| ( SV70 = SY1109 )
| ( SV70 = SY1110 )
| ~ ( s_t @ SY1109 @ SV70 @ SY1110 )
| ~ ( sameside @ SY1111 @ SV70 @ SY1109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(909,plain,
! [SV71: $i] :
( ( ! [SY1112: $i,SY1113: $i,SY1114: $i] :
( ( s_col @ SY1114 @ SV71 @ SY1112 )
| ( SV71 = SY1112 )
| ( SV71 = SY1113 )
| ~ ( s_t @ SY1112 @ SV71 @ SY1113 )
| ~ ( sameside @ SY1114 @ SV71 @ SY1113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(910,plain,
! [SV72: $i] :
( ( ! [SY1115: $i,SY1116: $i,SY1117: $i] :
( ( s_col @ SY1117 @ SV72 @ SY1115 )
| ( SY1117 != SV72 )
| ( SV72 = SY1115 )
| ( SV72 = SY1116 )
| ~ ( s_t @ SY1115 @ SV72 @ SY1116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(911,plain,
! [SV73: $i] :
( ( ! [SY1118: $i,SY1119: $i,SY1120: $i] :
( ( s_t @ SY1119 @ SY1120 @ SY1118 )
| ( s_t @ SY1120 @ SY1119 @ SY1118 )
| ( SV73 = SY1118 )
| ~ ( s_t @ SY1119 @ SV73 @ SY1118 )
| ~ ( s_t @ SY1120 @ SV73 @ SY1118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(912,plain,
! [SV74: $i] :
( ( ! [SY1121: $i,SY1122: $i,SY1123: $i] :
( ( s_col @ SV74 @ SY1122 @ SY1123 )
| ( SV74 = SY1121 )
| ( SY1122 = SV74 )
| ~ ( s_col @ SV74 @ SY1121 @ SY1122 )
| ~ ( s_col @ SV74 @ SY1121 @ SY1123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(913,plain,
! [SV75: $i] :
( ( ! [SY1124: $i] :
( ( SV75 = SY1124 )
| ( s_col @ SV75 @ SY1124 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(914,plain,
! [SV76: $i] :
( ( ! [SY1125: $i,SY1126: $i] :
( ( s_col @ SY1125 @ SV76 @ SY1126 )
| ( SV76 = SY1125 )
| ~ ( s_col @ SV76 @ SY1125 @ SY1126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(915,plain,
! [SV77: $i] :
( ( ! [SY1127: $i,SY1128: $i,SY1129: $i,SY1130: $i] :
( ( s_col @ SV77 @ SY1127 @ SY1130 )
| ( SV77 = SY1127 )
| ( SY1128 = SY1129 )
| ~ ( s_col @ SY1128 @ SY1129 @ SV77 )
| ~ ( s_col @ SY1128 @ SY1129 @ SY1127 )
| ~ ( s_col @ SY1128 @ SY1129 @ SY1130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(916,plain,
! [SV78: $i] :
( ( ! [SY1131: $i,SY1132: $i,SY1133: $i,SY1134: $i,SY1135: $i,SY1136: $i] :
( ( s_col @ SY1132 @ SY1133 @ SY1136 )
| ( SY1134 = SY1135 )
| ( SV78 = SY1131 )
| ( SY1132 = SY1133 )
| ~ ( s_col @ SV78 @ SY1131 @ SY1134 )
| ~ ( s_col @ SY1132 @ SY1133 @ SY1134 )
| ~ ( s_col @ SV78 @ SY1131 @ SY1135 )
| ~ ( s_col @ SY1132 @ SY1133 @ SY1135 )
| ~ ( s_col @ SV78 @ SY1131 @ SY1136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(917,plain,
! [SV79: $i] :
( ( ! [SY1137: $i] :
( ( SV79 = SY1137 )
| ~ ( s_col @ SV79 @ SY1137 @ ( pointOffLine @ SV79 @ SY1137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(918,plain,
! [SV80: $i] :
( ( ! [SY1138: $i,SY1139: $i,SY1140: $i,SY1141: $i,SY1142: $i] :
( ( s_e @ SV80 @ SY1139 @ SY1140 @ SY1142 )
| ~ ( sameside @ SV80 @ SY1138 @ SY1139 )
| ~ ( sameside @ SY1140 @ SY1141 @ SY1142 )
| ~ ( s_e @ SY1138 @ SV80 @ SY1141 @ SY1140 )
| ~ ( s_e @ SY1138 @ SY1139 @ SY1141 @ SY1142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(919,plain,
! [SV81: $i] :
( ( ! [SY1143: $i,SY1144: $i] :
( ~ ( s_m @ SV81 @ SY1143 @ SY1144 )
| ( s_m @ SY1144 @ SY1143 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(920,plain,
! [SV82: $i] :
( ( ! [SY1145: $i] :
( ~ ( s_m @ SV82 @ SY1145 @ SV82 )
| ( SY1145 = SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(921,plain,
! [SV83: $i] :
( ( ! [SY1146: $i] :
( ( SY1146 != SV83 )
| ( s_m @ SV83 @ SY1146 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(922,plain,
! [SV84: $i] :
( ( ! [SY1147: $i] : ( s_m @ SV84 @ SY1147 @ ( s @ SY1147 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(923,plain,
! [SV85: $i] :
( ( ! [SY1148: $i,SY1149: $i,SY1150: $i] :
( ( SY1149 = SY1150 )
| ~ ( s_m @ SV85 @ SY1148 @ SY1149 )
| ~ ( s_m @ SV85 @ SY1148 @ SY1150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(924,plain,
! [SV86: $i] :
( ( ! [SY1151: $i,SY1152: $i] :
( ~ ( s_m @ SV86 @ SY1151 @ SY1152 )
| ( SY1152
= ( s @ SY1151 @ SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(925,plain,
! [SV87: $i] :
( ( ! [SY1153: $i] :
( ( s @ SV87 @ ( s @ SV87 @ SY1153 ) )
= SY1153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(926,plain,
! [SV88: $i] :
( ( ! [SY1154: $i,SY1155: $i,SY1156: $i] :
( ( SY1154 = SY1156 )
| ( ( s @ SV88 @ SY1154 )
!= SY1155 )
| ( ( s @ SV88 @ SY1156 )
!= SY1155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(927,plain,
! [SV89: $i] :
( ( ! [SY1157: $i,SY1158: $i] :
( ( ( s @ SV89 @ SY1157 )
!= ( s @ SV89 @ SY1158 ) )
| ( SY1157 = SY1158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(928,plain,
! [SV90: $i] :
( ( ! [SY1159: $i] :
( ( ( s @ SV90 @ SY1159 )
!= SY1159 )
| ( SY1159 = SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(929,plain,
! [SV91: $i] :
( ( ! [SY1160: $i] :
( ( SY1160 != SV91 )
| ( ( s @ SV91 @ SY1160 )
= SY1160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(930,plain,
! [SV92: $i] :
( ( ! [SY1161: $i,SY1162: $i] : ( s_e @ SV92 @ SY1161 @ ( s @ SY1162 @ SV92 ) @ ( s @ SY1162 @ SY1161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(931,plain,
! [SV93: $i] :
( ( ! [SY1163: $i,SY1164: $i] :
( ~ ( s_t @ SV93 @ SY1163 @ SY1164 )
| ! [SY1165: $i] : ( s_t @ ( s @ SY1165 @ SV93 ) @ ( s @ SY1165 @ SY1163 ) @ ( s @ SY1165 @ SY1164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(932,plain,
! [SV94: $i] :
( ( ! [SY1166: $i,SY1167: $i] :
( ( s_t @ SV94 @ SY1166 @ SY1167 )
| ! [SY1168: $i] :
~ ( s_t @ ( s @ SY1168 @ SV94 ) @ ( s @ SY1168 @ SY1166 ) @ ( s @ SY1168 @ SY1167 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(933,plain,
! [SV95: $i] :
( ( ! [SY1169: $i,SY1170: $i,SY1171: $i] :
( ~ ( s_e @ SV95 @ SY1169 @ SY1170 @ SY1171 )
| ! [SY1172: $i] : ( s_e @ ( s @ SY1172 @ SV95 ) @ ( s @ SY1172 @ SY1169 ) @ ( s @ SY1172 @ SY1170 ) @ ( s @ SY1172 @ SY1171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(934,plain,
! [SV96: $i] :
( ( ! [SY1173: $i,SY1174: $i,SY1175: $i] :
( ( s_e @ SV96 @ SY1173 @ SY1174 @ SY1175 )
| ! [SY1176: $i] :
~ ( s_e @ ( s @ SY1176 @ SV96 ) @ ( s @ SY1176 @ SY1173 ) @ ( s @ SY1176 @ SY1174 ) @ ( s @ SY1176 @ SY1175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(935,plain,
! [SV97: $i] :
( ( ! [SY1177: $i,SY1178: $i,SY1179: $i] :
( ( SY1177 = SY1179 )
| ~ ( s_m @ SV97 @ SY1177 @ SY1178 )
| ~ ( s_m @ SV97 @ SY1179 @ SY1178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(936,plain,
! [SV98: $i] :
( ( ! [SY1180: $i,SY1181: $i] :
( ( ( s @ SV98 @ SY1180 )
!= ( s @ SY1181 @ SY1180 ) )
| ( SV98 = SY1181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(937,plain,
! [SV99: $i] :
( ( ! [SY1182: $i] :
( ! [SY1183: $i] :
( ( s @ SV99 @ ( s @ SY1182 @ SY1183 ) )
!= ( s @ SY1182 @ ( s @ SV99 @ SY1183 ) ) )
| ( SV99 = SY1182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(938,plain,
! [SV100: $i] :
( ( ! [SY1184: $i,SY1185: $i] :
( ( s_m @ SV100 @ SY1184 @ SY1185 )
| ( SV100 = SY1185 )
| ~ ( s_col @ SV100 @ SY1184 @ SY1185 )
| ~ ( s_e @ SY1184 @ SV100 @ SY1184 @ SY1185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(939,plain,
! [SV101: $i] :
( ( ! [SY1186: $i,SY1187: $i,SY1188: $i,SY1189: $i] :
( ( s_m @ SV101 @ SY1189 @ SY1187 )
| ( SY1186 = SY1188 )
| ( s_col @ SV101 @ SY1186 @ SY1187 )
| ~ ( s_e @ SV101 @ SY1186 @ SY1187 @ SY1188 )
| ~ ( s_e @ SY1186 @ SY1187 @ SY1188 @ SV101 )
| ~ ( s_col @ SV101 @ SY1189 @ SY1187 )
| ~ ( s_col @ SY1186 @ SY1189 @ SY1188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(940,plain,
! [SV102: $i] :
( ( ! [SY1190: $i,SY1191: $i,SY1192: $i,SY1193: $i,SY1194: $i,SY1195: $i] :
( ~ ( s_kf @ SV102 @ SY1190 @ SY1191 @ SY1192 @ SY1193 @ SY1194 @ SY1195 )
| ( s_t @ SY1190 @ SY1192 @ SY1194 )
| ~ ( le @ SY1192 @ SV102 @ SY1192 @ SY1195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(941,plain,
! [SV103: $i] :
( ( ! [SY1196: $i,SY1197: $i,SY1198: $i,SY1199: $i,SY1200: $i] :
( ! [SY1201: $i] :
~ ( s_kf @ SV103 @ SY1196 @ SY1197 @ SY1198 @ SY1199 @ SY1200 @ SY1201 )
| ( s_t @ SY1196 @ SY1198 @ SY1200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(942,plain,
! [SV104: $i] :
( ( ! [SY1202: $i,SY1203: $i,SY1204: $i,SY1205: $i,SY1206: $i,SY1207: $i] :
( ( s_t @ SY1206 @ SY1202 @ SY1207 )
| ~ ( s_t @ SV104 @ SY1202 @ SY1203 )
| ~ ( s_t @ SY1204 @ SY1202 @ SY1205 )
| ~ ( s_e @ SY1202 @ SV104 @ SY1202 @ SY1204 )
| ~ ( s_e @ SY1202 @ SY1203 @ SY1202 @ SY1205 )
| ~ ( s_m @ SV104 @ SY1206 @ SY1204 )
| ~ ( s_m @ SY1203 @ SY1207 @ SY1205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(943,plain,
! [SV105: $i] :
( ( ! [SY1208: $i,SY1209: $i] :
( ~ ( s_e @ SV105 @ SY1208 @ SV105 @ SY1209 )
| ( s_m @ SY1208 @ ( isomidpoint @ SY1208 @ SY1209 @ SV105 ) @ SY1209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(944,plain,
! [SV106: $i] :
( ( ! [SY1210: $i,SY1211: $i] :
( ~ ( s_r @ SV106 @ SY1210 @ SY1211 )
| ( s_r @ SY1211 @ SY1210 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(945,plain,
! [SV107: $i] :
( ( ! [SY1212: $i,SY1213: $i,SY1214: $i] :
( ( s_r @ SY1214 @ SY1212 @ SY1213 )
| ~ ( s_r @ SV107 @ SY1212 @ SY1213 )
| ( SV107 = SY1212 )
| ~ ( s_col @ SY1212 @ SV107 @ SY1214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(946,plain,
! [SV108: $i] :
( ( ! [SY1215: $i,SY1216: $i] :
( ~ ( s_r @ SV108 @ SY1215 @ SY1216 )
| ( s_r @ SV108 @ SY1215 @ ( s @ SY1215 @ SY1216 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(947,plain,
! [SV109: $i] :
( ( ! [SY1217: $i] : ( s_r @ SV109 @ SY1217 @ SY1217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(948,plain,
! [SV110: $i] :
( ( ! [SY1218: $i,SY1219: $i] :
( ( SY1218 = SY1219 )
| ! [SY1220: $i] :
( ~ ( s_r @ SV110 @ SY1218 @ SY1219 )
| ~ ( s_r @ SY1220 @ SY1218 @ SY1219 )
| ~ ( s_t @ SV110 @ SY1219 @ SY1220 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(949,plain,
! [SV111: $i] :
( ( ! [SY1221: $i,SY1222: $i] :
( ( SY1221 = SY1222 )
| ~ ( s_r @ SV111 @ SY1221 @ SY1222 )
| ~ ( s_r @ SV111 @ SY1222 @ SY1221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(950,plain,
! [SV112: $i] :
( ( ! [SY1223: $i] :
( ~ ( s_r @ SV112 @ SY1223 @ SV112 )
| ( SV112 = SY1223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(951,plain,
! [SV113: $i] :
( ( ! [SY1224: $i,SY1225: $i] :
( ( SY1225 = SY1224 )
| ( SV113 = SY1224 )
| ~ ( s_r @ SV113 @ SY1224 @ SY1225 )
| ~ ( s_col @ SV113 @ SY1224 @ SY1225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(952,plain,
! [SV114: $i] :
( ( ! [SY1226: $i,SY1227: $i,SY1228: $i,SY1229: $i,SY1230: $i] :
( ( s_r @ SY1228 @ SY1229 @ SY1230 )
| ~ ( s_r @ SV114 @ SY1226 @ SY1227 )
| ~ ( s_e3 @ SV114 @ SY1226 @ SY1227 @ SY1228 @ SY1229 @ SY1230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(953,plain,
! [SV115: $i] :
( ( ! [SY1231: $i,SY1232: $i,SY1233: $i,SY1234: $i] :
( ~ ( perpAt @ SV115 @ SY1231 @ SY1232 @ SY1233 @ SY1234 )
| ( perpAt @ SY1233 @ SY1234 @ SY1232 @ SV115 @ SY1231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(954,plain,
! [SV116: $i] :
( ( ! [SY1235: $i,SY1236: $i,SY1237: $i] :
( ~ ( perp @ SV116 @ SY1235 @ SY1236 @ SY1237 )
| ( perp @ SY1236 @ SY1237 @ SV116 @ SY1235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(955,plain,
! [SV117: $i] :
( ( ! [SY1238: $i,SY1239: $i,SY1240: $i,SY1241: $i] :
( ( perpAt @ SV117 @ SY1238 @ SY1241 @ SY1239 @ SY1240 )
| ! [SY1242: $i,SY1243: $i] :
( ( SY1241 = SY1243 )
| ( SY1241 = SY1242 )
| ( SV117 = SY1238 )
| ( SY1239 = SY1240 )
| ~ ( s_col @ SY1239 @ SY1240 @ SY1241 )
| ~ ( s_col @ SV117 @ SY1238 @ SY1241 )
| ~ ( s_col @ SV117 @ SY1238 @ SY1242 )
| ~ ( s_col @ SY1239 @ SY1240 @ SY1243 )
| ~ ( s_r @ SY1242 @ SY1241 @ SY1243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(956,plain,
! [SV118: $i] :
( ( ! [SY1244: $i,SY1245: $i,SY1246: $i] :
( ~ ( perp @ SV118 @ SY1244 @ SY1245 @ SY1246 )
| ~ ( s_col @ SV118 @ SY1244 @ SY1245 )
| ~ ( s_col @ SV118 @ SY1244 @ SY1246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(957,plain,
! [SV119: $i] :
( ( ! [SY1247: $i,SY1248: $i,SY1249: $i,SY1250: $i] :
( ( perpAt @ SV119 @ SY1247 @ SY1250 @ SY1248 @ SY1249 )
| ~ ( perp @ SV119 @ SY1247 @ SY1248 @ SY1249 )
| ~ ( s_col @ SV119 @ SY1247 @ SY1250 )
| ~ ( s_col @ SY1248 @ SY1249 @ SY1250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(958,plain,
! [SV120: $i] :
( ( ! [SY1251: $i,SY1252: $i,SY1253: $i,SY1254: $i] :
( ~ ( perpAt @ SV120 @ SY1251 @ SY1252 @ SY1253 @ SY1254 )
| ( SY1252
= ( il @ SV120 @ SY1251 @ SY1253 @ SY1254 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(959,plain,
! [SV121: $i] :
( ( ! [SY1255: $i,SY1256: $i,SY1257: $i] :
( ( perpAt @ SV121 @ SY1255 @ SY1256 @ SY1257 @ SY1256 )
| ( SV121 = SY1255 )
| ~ ( s_col @ SV121 @ SY1255 @ SY1256 )
| ~ ( perp @ SV121 @ SY1255 @ SY1257 @ SY1256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(960,plain,
! [SV122: $i] :
( ( ! [SY1258: $i,SY1259: $i,SY1260: $i,SY1261: $i] :
( ( s_col @ SV122 @ SY1258 @ SY1261 )
| ( perp @ SV122 @ SY1258 @ SY1261 @ SY1259 )
| ( SY1260 = SY1259 )
| ( SV122 = SY1258 )
| ~ ( s_col @ SV122 @ SY1258 @ SY1259 )
| ~ ( s_col @ SV122 @ SY1258 @ SY1260 )
| ~ ( s_r @ SY1261 @ SY1259 @ SY1260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(961,plain,
! [SV123: $i] :
( ( ! [SY1262: $i,SY1263: $i,SY1264: $i,SY1265: $i] :
( ( SY1264 = SY1265 )
| ( s_col @ SV123 @ SY1262 @ SY1263 )
| ~ ( s_col @ SV123 @ SY1262 @ SY1264 )
| ~ ( s_col @ SV123 @ SY1262 @ SY1265 )
| ~ ( perp @ SV123 @ SY1262 @ SY1263 @ SY1264 )
| ~ ( perp @ SV123 @ SY1262 @ SY1263 @ SY1265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(962,plain,
! [SV124: $i] :
( ( ! [SY1266: $i,SY1267: $i,SY1268: $i] :
( ( s_r @ SY1266 @ SV124 @ SY1268 )
| ~ ( s_r @ SV124 @ SY1266 @ SY1267 )
| ~ ( s_m @ ( s @ SV124 @ SY1267 ) @ SY1268 @ ( s @ SY1266 @ SY1267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(963,plain,
! [SV125: $i] :
( ( ! [SY1269: $i,SY1270: $i,SY1271: $i] :
( ( SV125 != SY1271 )
| ( SY1269 = SY1270 )
| ~ ( s_r @ SV125 @ SY1269 @ SY1270 )
| ~ ( s_m @ ( s @ SV125 @ SY1270 ) @ SY1271 @ ( s @ SY1269 @ SY1270 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(964,plain,
! [SV126: $i] :
( ( ! [SY1272: $i,SY1273: $i,SY1274: $i] :
( ~ ( perp @ SV126 @ SY1272 @ SY1273 @ SY1274 )
| ( perp @ SY1272 @ SV126 @ SY1273 @ SY1274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(965,plain,
! [SV127: $i] :
( ( ! [SY1275: $i,SY1276: $i,SY1277: $i,SY1278: $i] :
( ( s_col @ SV127 @ SY1275 @ SY1278 )
| ( SV127 = SY1275 )
| ( SY1276 = SY1277 )
| ~ ( s_col @ SV127 @ SY1275 @ SY1276 )
| ~ ( s_col @ SV127 @ SY1275 @ SY1277 )
| ~ ( s_col @ SY1276 @ SY1277 @ SY1278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(966,plain,
! [SV128: $i] :
( ( ! [SY1279: $i,SY1280: $i,SY1281: $i,SY1282: $i] :
( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SY1280 @ SY1279 @ SY1281 @ SY1282 ) @ SY1280 )
| ~ ( le @ SV128 @ SY1279 @ SY1280 @ SY1281 )
| ~ ( perp @ SV128 @ SY1280 @ SV128 @ SY1279 )
| ~ ( perp @ SV128 @ SY1280 @ SY1280 @ SY1281 )
| ~ ( s_t @ SY1279 @ SY1282 @ SY1281 )
| ~ ( s_col @ SV128 @ SY1280 @ SY1282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(967,plain,
! [SV129: $i] :
( ( ! [SY1283: $i] : ( s_m @ SV129 @ ( midpoint @ SV129 @ SY1283 ) @ SY1283 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(968,plain,
! [SV130: $i] :
( ( ! [SY1284: $i,SY1285: $i,SY1286: $i,SY1287: $i,SY1288: $i,SY1289: $i] :
( ( s_m @ SY1284 @ SY1289 @ SY1285 )
| ( SY1289
!= ( ip @ SV130 @ SY1287 @ SY1286 @ SY1285 @ SY1288 ) )
| ~ ( perp @ SV130 @ SY1284 @ SY1284 @ SY1285 )
| ~ ( perp @ SY1286 @ SY1285 @ SY1284 @ SY1285 )
| ~ ( s_col @ SY1284 @ SY1285 @ SY1287 )
| ~ ( s_t @ SV130 @ SY1287 @ SY1286 )
| ~ ( s_t @ SY1285 @ SY1288 @ SY1286 )
| ~ ( s_e @ SY1284 @ SV130 @ SY1285 @ SY1288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(969,plain,
! [SV131: $i] :
( ( ! [SY1290: $i,SY1291: $i,SY1292: $i,SY1293: $i,SY1294: $i,SY1295: $i] :
( ( s_m @ SV131 @ SY1295 @ SY1294 )
| ( SY1295
!= ( ip @ SV131 @ SY1293 @ SY1292 @ SY1291 @ SY1294 ) )
| ~ ( perp @ SV131 @ SY1290 @ SY1290 @ SY1291 )
| ~ ( perp @ SY1292 @ SY1291 @ SY1290 @ SY1291 )
| ~ ( s_col @ SY1290 @ SY1291 @ SY1293 )
| ~ ( s_t @ SV131 @ SY1293 @ SY1292 )
| ~ ( s_t @ SY1291 @ SY1294 @ SY1292 )
| ~ ( s_e @ SY1290 @ SV131 @ SY1291 @ SY1294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(970,plain,
! [SV132: $i] :
( ( ! [SY1296: $i,SY1297: $i,SY1298: $i,SY1299: $i,SY1300: $i] :
( ( s_m @ SV132 @ ( midpoint @ SY1296 @ SY1297 ) @ SY1300 )
| ~ ( perp @ SV132 @ SY1296 @ SY1296 @ SY1297 )
| ~ ( perp @ SY1298 @ SY1297 @ SY1296 @ SY1297 )
| ~ ( s_col @ SY1296 @ SY1297 @ SY1299 )
| ~ ( s_t @ SV132 @ SY1299 @ SY1298 )
| ~ ( s_t @ SY1297 @ SY1300 @ SY1298 )
| ~ ( s_e @ SY1296 @ SV132 @ SY1297 @ SY1300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(971,plain,
! [SV133: $i] :
( ( ! [SY1301: $i,SY1302: $i,SY1303: $i] :
( ( s_col @ SV133 @ SY1302 @ SY1303 )
| ( SV133 = SY1301 )
| ~ ( s_col @ SV133 @ SY1301 @ SY1302 )
| ~ ( s_col @ SV133 @ SY1301 @ SY1303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(972,plain,
! [SV134: $i] :
( ( ! [SY1304: $i,SY1305: $i,SY1306: $i,SY1307: $i,SY1308: $i,SY1309: $i] :
( ( perpAt @ SV134 @ SY1304 @ SY1307 @ SY1308 @ SY1309 )
| ( SV134 = SY1304 )
| ( SY1305 = SY1306 )
| ~ ( s_col @ SV134 @ SY1304 @ SY1305 )
| ~ ( s_col @ SV134 @ SY1304 @ SY1306 )
| ~ ( perpAt @ SY1305 @ SY1306 @ SY1307 @ SY1308 @ SY1309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(973,plain,
! [SV135: $i] :
( ( ! [SY1310: $i,SY1311: $i,SY1312: $i,SY1313: $i,SY1314: $i] :
( ( perp @ SV135 @ SY1310 @ SY1313 @ SY1314 )
| ( SV135 = SY1310 )
| ( SY1311 = SY1312 )
| ~ ( s_col @ SV135 @ SY1310 @ SY1311 )
| ~ ( s_col @ SV135 @ SY1310 @ SY1312 )
| ~ ( perp @ SY1311 @ SY1312 @ SY1313 @ SY1314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(974,plain,
! [SV136: $i] :
( ( ! [SY1315: $i,SY1316: $i,SY1317: $i] :
( ( perp @ SY1315 @ SV136 @ SV136 @ SY1317 )
| ( SV136 = SY1317 )
| ( SY1317 = SY1316 )
| ( SY1315 = SY1316 )
| ( SV136 = SY1315 )
| ( SV136 = SY1316 )
| ~ ( perp @ SY1315 @ SV136 @ SV136 @ SY1316 )
| ~ ( s_col @ SV136 @ SY1316 @ SY1317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(975,plain,
! [SV137: $i] :
( ( ! [SY1318: $i,SY1319: $i,SY1320: $i] :
( ~ ( perp @ SV137 @ SY1318 @ SY1319 @ SY1320 )
| ( perp @ SV137 @ SY1318 @ SY1320 @ SY1319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(976,plain,
! [SV138: $i] :
( ( ! [SY1321: $i,SY1322: $i,SY1323: $i,SY1324: $i,SY1325: $i] :
( ( perp @ SY1322 @ SY1323 @ SY1324 @ SY1325 )
| ( SV138 = SY1321 )
| ( SY1322 = SY1323 )
| ~ ( s_col @ SV138 @ SY1321 @ SY1322 )
| ~ ( s_col @ SV138 @ SY1321 @ SY1323 )
| ~ ( perp @ SV138 @ SY1321 @ SY1324 @ SY1325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(977,plain,
( ( ( ( perp @ xc @ xd @ xp @ xq )
| ( xa = xb )
| ( xp = xq )
| ~ ( s_col @ xa @ xb @ xp )
| ~ ( s_col @ xa @ xb @ xq ) )
= $true )
| ( ( ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(978,plain,
! [SV139: $i] :
( ( ! [SY1326: $i,SY1327: $i,SY1328: $i,SY1329: $i] :
( ( samesideline @ SY1328 @ SY1329 @ SV139 @ SY1327 )
| ( SV139 = SY1327 )
| ~ ( s_col @ SV139 @ SY1326 @ SY1327 )
| ( SV139 = SY1326 )
| ~ ( samesideline @ SY1328 @ SY1329 @ SV139 @ SY1326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(979,plain,
! [SV140: $i] :
( ( ! [SY1330: $i,SY1331: $i,SY1332: $i] :
( ( samesideline @ SY1331 @ SY1332 @ SY1330 @ SV140 )
| ( SV140 = SY1330 )
| ~ ( samesideline @ SY1331 @ SY1332 @ SV140 @ SY1330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(980,plain,
! [SV141: $i] :
( ( ! [SY1333: $i,SY1334: $i,SY1335: $i] :
( ~ ( opposite @ SV141 @ SY1333 @ SY1334 @ SY1335 )
| ( opposite @ SY1335 @ SY1333 @ SY1334 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(981,plain,
! [SV142: $i] :
( ( ! [SY1336: $i,SY1337: $i,SY1338: $i,SY1339: $i,SY1340: $i,SY1341: $i] :
( ( opposite @ SY1341 @ SY1336 @ SY1337 @ SY1338 )
| ~ ( opposite @ SV142 @ SY1336 @ SY1337 @ SY1338 )
| ~ ( s_col @ SY1336 @ SY1337 @ SY1339 )
| ~ ( s_m @ SV142 @ SY1339 @ SY1338 )
| ~ ( s_col @ SY1336 @ SY1337 @ SY1340 )
| ~ ( sameside @ SV142 @ SY1340 @ SY1341 )
| ~ ( s_t @ SY1340 @ SY1341 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(982,plain,
! [SV143: $i] :
( ( ! [SY1342: $i,SY1343: $i,SY1344: $i,SY1345: $i,SY1346: $i,SY1347: $i] :
( ( opposite @ SY1347 @ SY1342 @ SY1343 @ SY1344 )
| ~ ( opposite @ SV143 @ SY1342 @ SY1343 @ SY1344 )
| ~ ( s_col @ SY1342 @ SY1343 @ SY1345 )
| ~ ( s_m @ SV143 @ SY1345 @ SY1344 )
| ~ ( s_col @ SY1342 @ SY1343 @ SY1346 )
| ~ ( sameside @ SV143 @ SY1346 @ SY1347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(983,plain,
! [SV144: $i] :
( ( ! [SY1348: $i,SY1349: $i] :
( ~ ( sameside @ SV144 @ SY1348 @ SY1349 )
| ! [SY1350: $i] : ( sameside @ ( s @ SY1350 @ SV144 ) @ ( s @ SY1350 @ SY1348 ) @ ( s @ SY1350 @ SY1349 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(984,plain,
! [SV145: $i] :
( ( ! [SY1351: $i,SY1352: $i,SY1353: $i,SY1354: $i,SY1355: $i,SY1356: $i,SY1357: $i] :
( ( sameside @ ( s @ SY1356 @ SY1357 ) @ SY1354 @ SY1353 )
| ( SY1355 = SY1354 )
| ~ ( opposite @ SV145 @ SY1351 @ SY1352 @ SY1353 )
| ( SY1351 = SY1352 )
| ~ ( s_col @ SY1351 @ SY1352 @ SY1354 )
| ~ ( s_col @ SY1351 @ SY1352 @ SY1355 )
| ~ ( perp @ SY1351 @ SY1352 @ SV145 @ SY1355 )
| ~ ( perp @ SY1351 @ SY1352 @ SY1353 @ SY1354 )
| ~ ( s_m @ SY1355 @ SY1356 @ SY1354 )
| ~ ( sameside @ SY1357 @ SY1355 @ SV145 )
| ~ ( le @ SY1354 @ SY1353 @ SY1355 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(985,plain,
! [SV146: $i] :
( ( ! [SY1358: $i,SY1359: $i,SY1360: $i,SY1361: $i,SY1362: $i,SY1363: $i,SY1364: $i] :
( ( SY1362 = SY1361 )
| ( sameside @ SY1364 @ SY1362 @ SV146 )
| ~ ( opposite @ SV146 @ SY1358 @ SY1359 @ SY1360 )
| ( SY1358 = SY1359 )
| ~ ( s_col @ SY1358 @ SY1359 @ SY1361 )
| ~ ( s_col @ SY1358 @ SY1359 @ SY1362 )
| ~ ( perp @ SY1358 @ SY1359 @ SV146 @ SY1362 )
| ~ ( perp @ SY1358 @ SY1359 @ SY1360 @ SY1361 )
| ~ ( s_m @ SY1362 @ SY1363 @ SY1361 )
| ~ ( le @ SY1361 @ SY1360 @ SY1362 @ SV146 )
| ~ ( sameside @ ( s @ SY1363 @ SY1364 ) @ SY1361 @ SY1360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(986,plain,
! [SV147: $i] :
( ( ! [SY1365: $i,SY1366: $i,SY1367: $i,SY1368: $i,SY1369: $i,SY1370: $i,SY1371: $i] :
( ( sameside @ ( s @ SY1370 @ SY1371 ) @ SY1368 @ SY1367 )
| ( SY1369 != SY1368 )
| ~ ( opposite @ SV147 @ SY1365 @ SY1366 @ SY1367 )
| ( SY1365 = SY1366 )
| ~ ( s_col @ SY1365 @ SY1366 @ SY1368 )
| ~ ( s_col @ SY1365 @ SY1366 @ SY1369 )
| ~ ( perp @ SY1365 @ SY1366 @ SV147 @ SY1369 )
| ~ ( perp @ SY1365 @ SY1366 @ SY1367 @ SY1368 )
| ~ ( s_m @ SY1369 @ SY1370 @ SY1368 )
| ~ ( sameside @ SY1371 @ SY1369 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(987,plain,
! [SV148: $i] :
( ( ! [SY1372: $i,SY1373: $i,SY1374: $i,SY1375: $i,SY1376: $i,SY1377: $i,SY1378: $i] :
( ( sameside @ ( s @ SY1377 @ SY1378 ) @ SY1375 @ SY1374 )
| ~ ( opposite @ SV148 @ SY1372 @ SY1373 @ SY1374 )
| ( SY1372 = SY1373 )
| ~ ( s_col @ SY1372 @ SY1373 @ SY1375 )
| ~ ( s_col @ SY1372 @ SY1373 @ SY1376 )
| ~ ( perp @ SY1372 @ SY1373 @ SV148 @ SY1376 )
| ~ ( perp @ SY1372 @ SY1373 @ SY1374 @ SY1375 )
| ~ ( s_m @ SY1376 @ SY1377 @ SY1375 )
| ~ ( sameside @ SY1378 @ SY1376 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(988,plain,
! [SV149: $i] :
( ( ! [SY1379: $i,SY1380: $i,SY1381: $i,SY1382: $i,SY1383: $i,SY1384: $i,SY1385: $i,SY1386: $i] :
( ( opposite @ SY1385 @ SY1379 @ SY1380 @ SY1386 )
| ~ ( opposite @ SV149 @ SY1379 @ SY1380 @ SY1381 )
| ( SY1379 = SY1380 )
| ~ ( s_col @ SY1379 @ SY1380 @ SY1382 )
| ~ ( s_col @ SY1379 @ SY1380 @ SY1383 )
| ~ ( perp @ SY1379 @ SY1380 @ SV149 @ SY1383 )
| ~ ( perp @ SY1379 @ SY1380 @ SY1381 @ SY1382 )
| ~ ( s_m @ SY1383 @ SY1384 @ SY1382 )
| ~ ( sameside @ SY1385 @ SY1383 @ SV149 )
| ~ ( sameside @ SY1386 @ SY1382 @ SY1381 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(989,plain,
! [SV150: $i] :
( ( ! [SY1387: $i,SY1388: $i,SY1389: $i,SY1390: $i,SY1391: $i] :
( ( opposite @ SY1391 @ SY1387 @ SY1388 @ SY1389 )
| ~ ( opposite @ SV150 @ SY1387 @ SY1388 @ SY1389 )
| ~ ( s_col @ SY1387 @ SY1388 @ SY1390 )
| ~ ( sameside @ SV150 @ SY1390 @ SY1391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(990,plain,
! [SV151: $i] :
( ( ! [SY1392: $i,SY1393: $i,SY1394: $i,SY1395: $i] :
( ~ ( opposite @ SV151 @ SY1392 @ SY1393 @ SY1394 )
| ( opposite @ SY1395 @ SY1392 @ SY1393 @ SY1394 )
| ~ ( samesideline @ SV151 @ SY1395 @ SY1392 @ SY1393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(991,plain,
! [SV152: $i] :
( ( ! [SY1396: $i,SY1397: $i,SY1398: $i] :
( ~ ( opposite @ SV152 @ SY1396 @ SY1397 @ SY1398 )
| ~ ( samesideline @ SV152 @ SY1398 @ SY1396 @ SY1397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(992,plain,
! [SV153: $i] :
( ( ! [SY1399: $i,SY1400: $i,SY1401: $i,SY1402: $i] :
( ( samesideline @ SY1400 @ SY1402 @ SV153 @ SY1399 )
| ( SV153 = SY1399 )
| ~ ( samesideline @ SY1400 @ SY1401 @ SV153 @ SY1399 )
| ~ ( samesideline @ SY1401 @ SY1402 @ SV153 @ SY1399 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(993,plain,
! [SV154: $i] :
( ( ! [SY1403: $i,SY1404: $i,SY1405: $i] :
( ~ ( samesideline @ SV154 @ SY1403 @ SY1404 @ SY1405 )
| ( samesideline @ SV154 @ SY1403 @ SY1405 @ SY1404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(994,plain,
! [SV155: $i] :
( ( ! [SY1406: $i,SY1407: $i,SY1408: $i] :
( ( s_col @ SV155 @ SY1406 @ SY1408 )
| ! [SY1409: $i] :
( ( SV155 = SY1406 )
| ~ ( s_m @ SY1407 @ SY1408 @ SY1409 )
| ~ ( s_col @ SV155 @ SY1406 @ SY1407 )
| ~ ( s_col @ SV155 @ SY1406 @ SY1409 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(995,plain,
! [SV156: $i] :
( ( ! [SY1410: $i,SY1411: $i,SY1412: $i,SY1413: $i] :
( ( samesideline @ SY1412 @ SY1413 @ SV156 @ SY1410 )
| ( SV156 = SY1410 )
| ~ ( s_t @ SY1410 @ SV156 @ SY1411 )
| ~ ( samesideline @ SY1412 @ SY1413 @ SY1411 @ SY1410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(996,plain,
! [SV157: $i] :
( ( ! [SY1414: $i,SY1415: $i,SY1416: $i] :
( ( samesideline @ SY1416 @ SY1415 @ SV157 @ SY1414 )
| ( SV157 = SY1414 )
| ~ ( samesideline @ SY1415 @ SY1416 @ SV157 @ SY1414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(997,plain,
! [SV158: $i] :
( ( ! [SY1417: $i,SY1418: $i,SY1419: $i,SY1420: $i] :
( ( opposite @ SV158 @ SY1417 @ SY1418 @ SY1420 )
| ~ ( opposite @ SV158 @ SY1417 @ SY1418 @ SY1419 )
| ~ ( samesideline @ SY1419 @ SY1420 @ SY1417 @ SY1418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(998,plain,
! [SV159: $i] :
( ( ! [SY1421: $i,SY1422: $i,SY1423: $i,SY1424: $i] :
( ( s_col @ SY1422 @ SY1423 @ SY1424 )
| ( SY1423 = SY1422 )
| ( SV159 = SY1421 )
| ~ ( perpAt @ SV159 @ SY1421 @ SY1422 @ SY1423 @ SY1422 )
| ~ ( perpAt @ SV159 @ SY1421 @ SY1422 @ SY1424 @ SY1422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(999,plain,
! [SV160: $i] :
( ( ! [SY1425: $i,SY1426: $i] :
( ( SV160
!= ( foot @ SV160 @ SY1425 @ SY1426 ) )
| ! [SY1427: $i] :
( ( opposite @ SY1426 @ SV160 @ SY1425 @ SY1427 )
| ( samesideline @ SY1426 @ SY1427 @ SV160 @ SY1425 )
| ( s_col @ SV160 @ SY1425 @ SY1427 )
| ( SV160 = SY1425 )
| ( s_col @ SV160 @ SY1425 @ SY1426 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(1000,plain,
! [SV161: $i] :
( ( ! [SY1428: $i,SY1429: $i] :
( ( SV161
= ( foot @ SV161 @ SY1428 @ SY1429 ) )
| ! [SY1430: $i] :
( ( opposite @ SY1429 @ SV161 @ SY1428 @ SY1430 )
| ( samesideline @ SY1429 @ SY1430 @ SV161 @ SY1428 )
| ( s_col @ SV161 @ SY1428 @ SY1430 )
| ( SV161 = SY1428 )
| ( s_col @ SV161 @ SY1428 @ SY1429 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(1001,plain,
! [SV162: $i] :
( ( ! [SY1431: $i,SY1432: $i,SY1433: $i] :
( ( opposite @ SY1432 @ SV162 @ SY1431 @ SY1433 )
| ( samesideline @ SY1432 @ SY1433 @ SV162 @ SY1431 )
| ( s_col @ SV162 @ SY1431 @ SY1433 )
| ( SV162 = SY1431 )
| ( s_col @ SV162 @ SY1431 @ SY1432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(1002,plain,
! [SV163: $i] :
( ( ! [SY1434: $i,SY1435: $i,SY1436: $i,SY1437: $i] :
( ( samesideline @ SY1437 @ SY1434 @ SY1435 @ SY1436 )
| ~ ( samesideline @ SV163 @ SY1434 @ SY1435 @ SY1436 )
| ~ ( sameside @ SV163 @ SY1436 @ SY1437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(1003,plain,
! [SV164: $i] :
( ( ! [SY1438: $i,SY1439: $i,SY1440: $i,SY1441: $i] :
( ( samesideline @ SY1440 @ SY1441 @ SV164 @ SY1438 )
| ( s_col @ SV164 @ SY1438 @ SY1440 )
| ( SV164 = SY1438 )
| ~ ( s_col @ SV164 @ SY1438 @ SY1439 )
| ~ ( s_col @ SY1440 @ SY1441 @ SY1439 )
| ~ ( sameside @ SY1440 @ SY1439 @ SY1441 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(1004,plain,
! [SV165: $i] :
( ( ! [SY1442: $i,SY1443: $i,SY1444: $i] :
( ( ( reflect @ SV165 @ SY1442 @ SY1444 )
= SY1443 )
| ( ( reflect @ SV165 @ SY1442 @ SY1443 )
!= SY1444 )
| ( SV165 = SY1442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(1005,plain,
! [SV166: $i] :
( ( ! [SY1445: $i] :
( ( SV166 = SY1445 )
| ! [SY1446: $i] :
( ( reflect @ SV166 @ SY1445 @ ( reflect @ SV166 @ SY1445 @ SY1446 ) )
= SY1446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(1006,plain,
! [SV167: $i] :
( ( ! [SY1447: $i,SY1448: $i,SY1449: $i] :
( ( SY1448
= ( reflect @ SV167 @ SY1447 @ SY1449 ) )
| ( ( reflect @ SV167 @ SY1447 @ SY1448 )
!= SY1449 )
| ( SV167 = SY1447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(1007,plain,
! [SV168: $i] :
( ( ! [SY1450: $i,SY1451: $i,SY1452: $i] :
( ( SY1451 = SY1452 )
| ( ( reflect @ SV168 @ SY1450 @ SY1451 )
!= ( reflect @ SV168 @ SY1450 @ SY1452 ) )
| ( SV168 = SY1450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(1008,plain,
! [SV169: $i] :
( ( ! [SY1453: $i,SY1454: $i] :
( ( s_col @ SV169 @ SY1453 @ SY1454 )
| ( ( reflect @ SV169 @ SY1453 @ SY1454 )
!= SY1454 )
| ( SV169 = SY1453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(1009,plain,
! [SV170: $i] :
( ( ! [SY1455: $i,SY1456: $i] :
( ( ( reflect @ SV170 @ SY1455 @ SY1456 )
= SY1456 )
| ( SV170 = SY1455 )
| ~ ( s_col @ SV170 @ SY1455 @ SY1456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(1010,plain,
! [SV171: $i] :
( ( ! [SY1457: $i,SY1458: $i] :
( ! [SY1459: $i] : ( s_e @ SY1458 @ SY1459 @ ( reflect @ SV171 @ SY1457 @ SY1458 ) @ ( reflect @ SV171 @ SY1457 @ SY1459 ) )
| ( SV171 = SY1457 )
| ~ ( s_col @ SV171 @ SY1457 @ SY1458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(1011,plain,
! [SV172: $i] :
( ( ! [SY1460: $i] :
( ( SV172 = SY1460 )
| ! [SY1461: $i,SY1462: $i] : ( s_e @ SY1461 @ SY1462 @ ( reflect @ SV172 @ SY1460 @ SY1461 ) @ ( reflect @ SV172 @ SY1460 @ SY1462 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(1012,plain,
! [SV173: $i] :
( ( ! [SY1463: $i,SY1464: $i,SY1465: $i] :
( ( s_e @ SV173 @ SY1464 @ SY1465 @ SY1464 )
| ~ ( s_r @ SV173 @ SY1463 @ SY1464 )
| ~ ( s_r @ SY1465 @ SY1463 @ SY1464 )
| ~ ( s_e @ SV173 @ SY1463 @ SY1465 @ SY1463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(1013,plain,
! [SV174: $i] :
( ( ! [SY1466: $i,SY1467: $i,SY1468: $i,SY1469: $i] :
( ( SY1467 = SY1469 )
| ( SY1466
!= ( midpoint @ SY1467 @ SY1469 ) )
| ( s_e @ SV174 @ SY1467 @ SY1468 @ SY1469 )
| ~ ( s_r @ SV174 @ SY1466 @ SY1467 )
| ~ ( s_r @ SY1468 @ SY1466 @ SY1469 )
| ~ ( s_e @ SV174 @ SY1466 @ SY1468 @ SY1466 )
| ~ ( s_e @ SY1466 @ SY1467 @ SY1466 @ SY1469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(1014,plain,
! [SV175: $i] :
( ( ! [SY1470: $i,SY1471: $i,SY1472: $i,SY1473: $i] :
( ( s_e @ SV175 @ SY1471 @ SY1472 @ SY1473 )
| ~ ( s_r @ SV175 @ SY1470 @ SY1471 )
| ~ ( s_r @ SY1472 @ SY1470 @ SY1473 )
| ~ ( s_e @ SV175 @ SY1470 @ SY1472 @ SY1470 )
| ~ ( s_e @ SY1470 @ SY1471 @ SY1470 @ SY1473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(1015,plain,
! [SV176: $i] :
( ( ! [SY1474: $i,SY1475: $i,SY1476: $i,SY1477: $i,SY1478: $i] :
( ( s_e @ SV176 @ SY1475 @ SY1476 @ SY1478 )
| ~ ( s_r @ SV176 @ SY1474 @ SY1475 )
| ~ ( s_r @ SY1476 @ SY1477 @ SY1478 )
| ~ ( s_e @ SV176 @ SY1474 @ SY1476 @ SY1477 )
| ~ ( s_e @ SY1474 @ SY1475 @ SY1477 @ SY1478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(1016,plain,
! [SV177: $i] :
( ( ! [SY1479: $i,SY1480: $i,SY1481: $i] :
( ( insert @ SV177 @ SY1479 @ SY1480 @ SY1481 )
= ( ext @ ( ext @ SY1481 @ SY1480 @ alpha @ gamma ) @ SY1480 @ SV177 @ SY1479 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(1017,plain,
! [SV178: $i] :
( ( ! [SY1482: $i] :
~ ( ~ ! [SY1483: $i,SY1484: $i] : ( s_e @ SY1482 @ ( ext @ SV178 @ SY1482 @ SY1483 @ SY1484 ) @ SY1483 @ SY1484 )
| ~ ! [SY1485: $i,SY1486: $i] : ( s_t @ SV178 @ SY1482 @ ( ext @ SV178 @ SY1482 @ SY1485 @ SY1486 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(1018,plain,
! [SV179: $i] :
( ( ! [SY1487: $i] :
~ ( ~ ! [SY1488: $i,SY1489: $i] :
( ( SY1489
= ( reflect @ SV179 @ SY1487 @ SY1488 ) )
| ( SV179 = SY1487 )
| ~ ( s_col @ SV179 @ SY1487 @ ( midpoint @ SY1488 @ SY1489 ) )
| ~ ( perp @ SV179 @ SY1487 @ SY1488 @ SY1489 ) )
| ~ ! [SY1490: $i,SY1491: $i] :
( ( SY1491
= ( reflect @ SV179 @ SY1487 @ SY1490 ) )
| ( SY1490 != SY1491 )
| ( SV179 = SY1487 )
| ~ ( s_col @ SV179 @ SY1487 @ ( midpoint @ SY1490 @ SY1491 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(1019,plain,
( ( ~ ~ ( ~ ~ ( s_t @ alpha @ beta @ gamma )
| ~ ~ ( s_t @ beta @ gamma @ alpha ) )
| ~ ~ ( s_t @ gamma @ alpha @ beta ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(1020,plain,
! [SV180: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY1492: $i] :
( ( SV180 = SY1492 )
| ! [SY1493: $i] : ( perp @ SV180 @ SY1492 @ ( erect @ SV180 @ SY1492 @ SY1493 ) @ SV180 ) )
| ~ ! [SY1494: $i] :
( ( SV180 = SY1494 )
| ! [SY1495: $i] : ( s_col @ SV180 @ SY1494 @ ( erectAux @ SV180 @ SY1494 @ SY1495 ) ) ) )
| ~ ! [SY1496: $i] :
( ( SV180 = SY1496 )
| ! [SY1497: $i] : ( s_t @ SY1497 @ ( erectAux @ SV180 @ SY1496 @ SY1497 ) @ ( erect @ SV180 @ SY1496 @ SY1497 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(1021,plain,
! [SV181: $i] :
( ( ! [SY1498: $i] :
~ ( ~ ~ ( ~ ! [SY1499: $i,SY1500: $i] :
( ~ ( le @ SV181 @ SY1498 @ SY1499 @ SY1500 )
| ( s_t @ SV181 @ SY1498 @ ( ins @ SY1499 @ SY1500 @ SV181 @ SY1498 ) ) )
| ~ ! [SY1501: $i,SY1502: $i] :
( ~ ( le @ SV181 @ SY1498 @ SY1501 @ SY1502 )
| ( s_e @ SV181 @ ( ins @ SY1501 @ SY1502 @ SV181 @ SY1498 ) @ SY1501 @ SY1502 ) ) )
| ~ ! [SY1503: $i,SY1504: $i] :
( ~ ( le @ SV181 @ SY1498 @ SY1503 @ SY1504 )
| ( ( ins @ SY1503 @ SY1504 @ SV181 @ SY1498 )
= ( ext @ SV181 @ SY1498 @ ( insert @ SV181 @ SY1498 @ SY1503 @ SY1504 ) @ SY1504 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(1022,plain,
! [SV182: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY1505: $i,SY1506: $i] :
( ~ ( s_m @ SV182 @ SY1505 @ SY1506 )
| ( s_t @ SV182 @ SY1505 @ SY1506 ) )
| ~ ! [SY1507: $i,SY1508: $i] :
( ~ ( s_m @ SV182 @ SY1507 @ SY1508 )
| ( s_e @ SY1507 @ SV182 @ SY1507 @ SY1508 ) ) )
| ~ ! [SY1509: $i,SY1510: $i] :
( ( s_m @ SV182 @ SY1509 @ SY1510 )
| ~ ( s_t @ SV182 @ SY1509 @ SY1510 )
| ~ ( s_e @ SY1509 @ SV182 @ SY1509 @ SY1510 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(1023,plain,
! [SV183: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
| ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) )
| ~ ! [SY1517: $i,SY1518: $i] :
( ( sameside @ SV183 @ SY1517 @ SY1518 )
| ( xb = SY1517 )
| ~ ( s_t @ SY1517 @ SV183 @ SY1518 )
| ( SV183 = SY1517 ) ) )
| ~ ! [SY1519: $i,SY1520: $i] :
( ( sameside @ SV183 @ SY1519 @ SY1520 )
| ( SY1520 = SY1519 )
| ~ ( s_t @ SY1519 @ SY1520 @ SV183 )
| ( SV183 = SY1519 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(1024,plain,
! [SV184: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
| ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) )
| ~ ! [SY1527: $i,SY1528: $i] :
( ~ ( sameside @ SV184 @ SY1527 @ SY1528 )
| ( s_t @ SV184 @ SY1527 @ ( c63 @ SV184 @ SY1527 @ SY1528 ) ) ) )
| ~ ! [SY1529: $i,SY1530: $i] :
( ~ ( sameside @ SV184 @ SY1529 @ SY1530 )
| ( s_t @ SY1530 @ SY1529 @ ( c63 @ SV184 @ SY1529 @ SY1530 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(1025,plain,
! [SV185: $i] :
( ( ! [SY1531: $i,SY1532: $i,SY1533: $i,SY1534: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( s_col @ SY1532 @ SY1533 @ ( ss1 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( s_col @ SY1532 @ SY1533 @ ( ss2 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) @ ( ss3 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( s_t @ SY1531 @ ( ss2 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) @ ( ss3 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( SV185
!= ( ss1 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( SY1531
!= ( ss2 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( ( ss3 @ SV185 @ SY1531 @ SY1532 @ SY1533 )
!= ( ss1 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( ( ss3 @ SV185 @ SY1531 @ SY1532 @ SY1533 )
!= ( ss2 @ SV185 @ SY1531 @ SY1532 @ SY1533 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( SY1532 != SY1533 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ~ ( s_col @ SY1532 @ SY1533 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ~ ( s_col @ SY1532 @ SY1533 @ SY1531 ) ) )
| ~ ( ( samesideline @ SV185 @ SY1531 @ SY1532 @ SY1533 )
| ( s_col @ SY1532 @ SY1533 @ SY1531 )
| ( s_col @ SY1532 @ SY1533 @ SV185 )
| ! [SY1535: $i,SY1536: $i] :
( ( SY1531 = SY1536 )
| ( SV185 = SY1534 )
| ( SY1535 = SY1536 )
| ( SY1535 = SY1534 )
| ( SY1532 = SY1533 )
| ~ ( s_t @ SV185 @ SY1534 @ SY1535 )
| ~ ( s_t @ SY1531 @ SY1536 @ SY1535 )
| ~ ( s_col @ SY1532 @ SY1533 @ SY1534 )
| ~ ( s_col @ SY1532 @ SY1533 @ SY1536 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(1026,plain,
! [SV186: $i] :
( ( ! [SY1537: $i,SY1538: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1539: $i] :
( ( opposite @ SY1538 @ SV186 @ SY1537 @ SY1539 )
| ! [SY1540: $i] :
( ( s_col @ SV186 @ SY1537 @ SY1539 )
| ( SV186 = SY1537 )
| ( s_col @ SV186 @ SY1537 @ SY1538 )
| ~ ( s_t @ SY1538 @ SY1540 @ SY1539 )
| ~ ( s_col @ SV186 @ SY1537 @ SY1540 ) ) )
| ~ ( ! [SY1541: $i] :
~ ( opposite @ SY1538 @ SV186 @ SY1537 @ SY1541 )
| ~ ( s_col @ SV186 @ SY1537 @ SY1538 ) ) )
| ~ ! [SY1542: $i] :
( ~ ( opposite @ SY1538 @ SV186 @ SY1537 @ SY1542 )
| ~ ( s_col @ SV186 @ SY1537 @ SY1542 ) ) )
| ~ ! [SY1543: $i] :
( ~ ( opposite @ SY1538 @ SV186 @ SY1537 @ SY1543 )
| ( s_t @ SY1538 @ ( il @ SY1538 @ SY1543 @ SV186 @ SY1537 ) @ SY1543 ) ) )
| ~ ! [SY1544: $i] :
( ~ ( opposite @ SY1538 @ SV186 @ SY1537 @ SY1544 )
| ( s_col @ SV186 @ SY1537 @ ( il @ SY1538 @ SY1544 @ SV186 @ SY1537 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(1027,plain,
! [SV187: $i] :
( ( ! [SY1545: $i,SY1546: $i] :
~ ( ~ ! [SY1547: $i,SY1548: $i] :
( ( SY1547 = SY1546 )
| ( SV187 = SY1545 )
| ~ ( s_col @ SV187 @ SY1545 @ SY1546 )
| ~ ( s_col @ SV187 @ SY1545 @ SY1547 )
| ~ ( s_col @ SV187 @ SY1545 @ SY1548 )
| ~ ( perp @ SV187 @ SY1545 @ SY1548 @ SY1546 ) )
| ~ ! [SY1549: $i,SY1550: $i] :
( ( s_r @ SY1550 @ SY1546 @ SY1549 )
| ( SY1549 = SY1546 )
| ( SV187 = SY1545 )
| ~ ( s_col @ SV187 @ SY1545 @ SY1546 )
| ~ ( s_col @ SV187 @ SY1545 @ SY1549 )
| ~ ( perp @ SV187 @ SY1545 @ SY1550 @ SY1546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(1028,plain,
! [SV188: $i] :
( ( ~ ( ~ ! [SY1551: $i,SY1552: $i] :
( ~ ( s_r @ SV188 @ SY1551 @ SY1552 )
| ( s_e @ SV188 @ SY1552 @ SV188 @ ( s @ SY1551 @ SY1552 ) ) )
| ~ ! [SY1553: $i,SY1554: $i] :
( ( s_r @ SV188 @ SY1553 @ SY1554 )
| ~ ( s_e @ SV188 @ SY1554 @ SV188 @ ( s @ SY1553 @ SY1554 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(1029,plain,
! [SV189: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) )
| ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) )
| ~ ! [SY1559: $i,SY1560: $i] :
( ( s_col @ SV189 @ SY1559 @ SY1560 )
| ~ ( s_t @ SY1559 @ SY1560 @ SV189 ) ) )
| ~ ! [SY1561: $i,SY1562: $i] :
( ( s_col @ SV189 @ SY1561 @ SY1562 )
| ~ ( s_t @ SY1562 @ SV189 @ SY1561 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(1030,plain,
! [SV190: $i] :
( ( ! [SY1563: $i,SY1564: $i] :
~ ( ~ ! [SY1565: $i,SY1566: $i] :
( ( s_t @ SY1565 @ ( insert @ SV190 @ SY1563 @ SY1565 @ SY1566 ) @ SY1566 )
| ~ ( s_t @ SV190 @ SY1563 @ SY1564 )
| ~ ( s_e @ SV190 @ SY1564 @ SY1565 @ SY1566 ) )
| ~ ! [SY1567: $i,SY1568: $i] :
( ( s_e3 @ SV190 @ SY1563 @ SY1564 @ SY1567 @ ( insert @ SV190 @ SY1563 @ SY1567 @ SY1568 ) @ SY1568 )
| ~ ( s_t @ SV190 @ SY1563 @ SY1564 )
| ~ ( s_e @ SV190 @ SY1564 @ SY1567 @ SY1568 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(1031,plain,
! [SV191: $i] :
( ( ! [SY1569: $i,SY1570: $i,SY1571: $i,SY1572: $i,SY1573: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY1574: $i,SY1575: $i] :
~ ( s_afs @ SV191 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1574 @ SY1575 )
| ( s_t @ SV191 @ SY1569 @ SY1570 ) )
| ~ ! [SY1576: $i] :
( ! [SY1577: $i] :
~ ( s_afs @ SV191 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1576 @ SY1577 )
| ( s_t @ SY1572 @ SY1573 @ SY1576 ) ) )
| ~ ( ! [SY1578: $i,SY1579: $i] :
~ ( s_afs @ SV191 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1578 @ SY1579 )
| ( s_e @ SV191 @ SY1569 @ SY1572 @ SY1573 ) ) )
| ~ ! [SY1580: $i] :
( ! [SY1581: $i] :
~ ( s_afs @ SV191 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1580 @ SY1581 )
| ( s_e @ SY1569 @ SY1570 @ SY1573 @ SY1580 ) ) )
| ~ ! [SY1582: $i,SY1583: $i] :
( ~ ( s_afs @ SV191 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1582 @ SY1583 )
| ( s_e @ SV191 @ SY1571 @ SY1572 @ SY1583 ) ) )
| ~ ! [SY1584: $i,SY1585: $i] :
( ~ ( s_afs @ SV191 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1584 @ SY1585 )
| ( s_e @ SY1569 @ SY1571 @ SY1573 @ SY1585 ) ) )
| ~ ! [SY1586: $i,SY1587: $i] :
( ( s_afs @ SV191 @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ SY1573 @ SY1586 @ SY1587 )
| ~ ( s_t @ SV191 @ SY1569 @ SY1570 )
| ~ ( s_t @ SY1572 @ SY1573 @ SY1586 )
| ~ ( s_e @ SV191 @ SY1569 @ SY1572 @ SY1573 )
| ~ ( s_e @ SY1569 @ SY1570 @ SY1573 @ SY1586 )
| ~ ( s_e @ SV191 @ SY1571 @ SY1572 @ SY1587 )
| ~ ( s_e @ SY1569 @ SY1571 @ SY1573 @ SY1587 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(1032,plain,
! [SV192: $i] :
( ( ! [SY1588: $i,SY1589: $i,SY1590: $i,SY1591: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SY1588 @ SY1589 @ SY1590 @ SY1591 )
| ( s_col @ SV192 @ SY1588 @ SY1589 ) )
| ~ ( ~ ( perpAt @ SV192 @ SY1588 @ SY1589 @ SY1590 @ SY1591 )
| ( s_col @ SY1590 @ SY1591 @ SY1589 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SY1588 @ SY1589 @ SY1590 @ SY1591 )
| ( SV192 != SY1588 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SY1588 @ SY1589 @ SY1590 @ SY1591 )
| ( SY1590 != SY1591 ) ) )
| ~ ! [SY1592: $i,SY1593: $i] :
( ( s_r @ SY1592 @ SY1589 @ SY1593 )
| ~ ( perpAt @ SV192 @ SY1588 @ SY1589 @ SY1590 @ SY1591 )
| ~ ( s_col @ SV192 @ SY1588 @ SY1592 )
| ~ ( s_col @ SY1590 @ SY1591 @ SY1593 ) ) )
| ~ ( ( s_col @ SV192 @ SY1588 @ ( f811 @ SV192 @ SY1588 @ SY1590 @ SY1591 @ SY1589 ) )
| ( SY1590 = SY1591 )
| ( SV192 = SY1588 )
| ( perpAt @ SV192 @ SY1588 @ SY1589 @ SY1590 @ SY1591 )
| ~ ( s_col @ SV192 @ SY1588 @ SY1589 )
| ~ ( s_col @ SY1590 @ SY1591 @ SY1589 ) ) )
| ~ ( ( s_col @ SY1590 @ SY1591 @ ( g811 @ SV192 @ SY1588 @ SY1590 @ SY1591 @ SY1589 ) )
| ( SY1590 = SY1591 )
| ( SV192 = SY1588 )
| ( perpAt @ SV192 @ SY1588 @ SY1589 @ SY1590 @ SY1591 )
| ~ ( s_col @ SV192 @ SY1588 @ SY1589 )
| ~ ( s_col @ SY1590 @ SY1591 @ SY1589 ) ) )
| ~ ( ( SY1590 = SY1591 )
| ( SV192 = SY1588 )
| ( perpAt @ SV192 @ SY1588 @ SY1589 @ SY1590 @ SY1591 )
| ~ ( s_col @ SV192 @ SY1588 @ SY1589 )
| ~ ( s_col @ SY1590 @ SY1591 @ SY1589 )
| ~ ( s_r @ ( f811 @ SV192 @ SY1588 @ SY1590 @ SY1591 @ SY1589 ) @ SY1589 @ ( g811 @ SV192 @ SY1588 @ SY1590 @ SY1591 @ SY1589 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(1033,plain,
! [SV193: $i] :
( ( ! [SY1594: $i,SY1595: $i] :
~ ( ~ ! [SY1596: $i,SY1597: $i] :
( ( s_t @ SY1594 @ ( ip @ SV193 @ SY1594 @ SY1595 @ SY1596 @ SY1597 ) @ SY1596 )
| ~ ( s_t @ SV193 @ SY1594 @ SY1595 )
| ~ ( s_t @ SY1596 @ SY1597 @ SY1595 ) )
| ~ ! [SY1598: $i,SY1599: $i] :
( ( s_t @ SY1599 @ ( ip @ SV193 @ SY1594 @ SY1595 @ SY1598 @ SY1599 ) @ SV193 )
| ~ ( s_t @ SV193 @ SY1594 @ SY1595 )
| ~ ( s_t @ SY1598 @ SY1599 @ SY1595 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(1034,plain,
! [SV194: $i] :
( ( ! [SY1600: $i,SY1601: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY1602: $i,SY1603: $i] :
~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1602 @ SY1603 )
| ( SV194 != SY1600 ) )
| ~ ! [SY1604: $i,SY1605: $i] :
( ~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1604 @ SY1605 )
| ( SY1604 != SY1605 ) ) )
| ~ ! [SY1606: $i,SY1607: $i] :
( ~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1606 @ SY1607 )
| ( s_col @ SY1606 @ SY1607 @ SY1601 ) ) )
| ~ ( ! [SY1608: $i,SY1609: $i] :
~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1608 @ SY1609 )
| ( s_col @ SV194 @ SY1600 @ SY1601 ) ) )
| ~ ! [SY1610: $i,SY1611: $i] :
( ~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1610 @ SY1611 )
| ( s_col @ SV194 @ SY1600 @ ( f813 @ SV194 @ SY1600 @ SY1610 @ SY1611 @ SY1601 ) ) ) )
| ~ ! [SY1612: $i,SY1613: $i] :
( ~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1612 @ SY1613 )
| ( s_col @ SY1612 @ SY1613 @ ( g813 @ SV194 @ SY1600 @ SY1612 @ SY1613 @ SY1601 ) ) ) )
| ~ ! [SY1614: $i,SY1615: $i] :
( ~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1614 @ SY1615 )
| ( SY1601
!= ( f813 @ SV194 @ SY1600 @ SY1614 @ SY1615 @ SY1601 ) ) ) )
| ~ ! [SY1616: $i,SY1617: $i] :
( ~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1616 @ SY1617 )
| ( SY1601
!= ( g813 @ SV194 @ SY1600 @ SY1616 @ SY1617 @ SY1601 ) ) ) )
| ~ ! [SY1618: $i,SY1619: $i] :
( ~ ( perpAt @ SV194 @ SY1600 @ SY1601 @ SY1618 @ SY1619 )
| ( s_r @ ( f813 @ SV194 @ SY1600 @ SY1618 @ SY1619 @ SY1601 ) @ SY1601 @ ( g813 @ SV194 @ SY1600 @ SY1618 @ SY1619 @ SY1601 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(1035,plain,
! [SV195: $i] :
( ( ! [SY1620: $i,SY1621: $i] :
~ ( ~ ~ ( ~ ! [SY1622: $i] :
( ~ ( le @ SV195 @ SY1620 @ SY1621 @ SY1622 )
| ( s_t @ SY1621 @ ( insert @ SV195 @ SY1620 @ SY1621 @ SY1622 ) @ SY1622 ) )
| ~ ! [SY1623: $i] :
( ~ ( le @ SV195 @ SY1620 @ SY1621 @ SY1623 )
| ( s_e @ SV195 @ SY1620 @ SY1621 @ ( insert @ SV195 @ SY1620 @ SY1621 @ SY1623 ) ) ) )
| ~ ! [SY1624: $i] :
( ( le @ SV195 @ SY1620 @ SY1621 @ SY1624 )
| ! [SY1625: $i] :
( ~ ( s_t @ SY1621 @ SY1625 @ SY1624 )
| ~ ( s_e @ SV195 @ SY1620 @ SY1621 @ SY1625 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(1036,plain,
! [SV196: $i] :
( ( ! [SY1626: $i,SY1627: $i,SY1628: $i] :
~ ( ~ ! [SY1629: $i,SY1630: $i] :
( ( s_t @ SY1630 @ ( crossbar @ SV196 @ SY1626 @ SY1627 @ SY1628 @ SY1629 @ SY1630 ) @ SY1627 )
| ~ ( s_t @ SV196 @ SY1626 @ SY1627 )
| ~ ( s_t @ SY1628 @ SY1629 @ SY1627 )
| ~ ( s_t @ SV196 @ SY1630 @ SY1628 ) )
| ~ ! [SY1631: $i,SY1632: $i] :
( ( s_t @ SY1626 @ ( crossbar @ SV196 @ SY1626 @ SY1627 @ SY1628 @ SY1631 @ SY1632 ) @ SY1631 )
| ~ ( s_t @ SV196 @ SY1626 @ SY1627 )
| ~ ( s_t @ SY1628 @ SY1631 @ SY1627 )
| ~ ( s_t @ SV196 @ SY1632 @ SY1628 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(1037,plain,
! [SV197: $i] :
( ( ! [SY1633: $i,SY1634: $i] :
~ ( ~ ! [SY1635: $i,SY1636: $i] :
( ( s_t @ SV197 @ ( op @ SY1636 @ SY1635 @ SY1634 @ SY1633 @ SV197 ) @ SY1635 )
| ~ ( s_t @ SV197 @ SY1633 @ SY1634 )
| ~ ( s_t @ SY1635 @ SY1636 @ SY1633 ) )
| ~ ! [SY1637: $i,SY1638: $i] :
( ( s_t @ SY1634 @ SY1638 @ ( op @ SY1638 @ SY1637 @ SY1634 @ SY1633 @ SV197 ) )
| ~ ( s_t @ SV197 @ SY1633 @ SY1634 )
| ~ ( s_t @ SY1637 @ SY1638 @ SY1633 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(1038,plain,
! [SV198: $i] :
( ( ! [SY1639: $i,SY1640: $i,SY1641: $i,SY1642: $i,SY1643: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY1644: $i,SY1645: $i] :
~ ( s_fs @ SV198 @ SY1639 @ SY1640 @ SY1641 @ SY1642 @ SY1643 @ SY1644 @ SY1645 )
| ( s_col @ SV198 @ SY1639 @ SY1640 ) )
| ~ ! [SY1646: $i] :
( ! [SY1647: $i] :
~ ( s_fs @ SV198 @ SY1639 @ SY1640 @ SY1641 @ SY1642 @ SY1643 @ SY1646 @ SY1647 )
| ( s_e3 @ SV198 @ SY1639 @ SY1640 @ SY1642 @ SY1643 @ SY1646 ) ) )
| ~ ! [SY1648: $i,SY1649: $i] :
( ~ ( s_fs @ SV198 @ SY1639 @ SY1640 @ SY1641 @ SY1642 @ SY1643 @ SY1648 @ SY1649 )
| ( s_e @ SV198 @ SY1641 @ SY1642 @ SY1649 ) ) )
| ~ ! [SY1650: $i,SY1651: $i] :
( ~ ( s_fs @ SV198 @ SY1639 @ SY1640 @ SY1641 @ SY1642 @ SY1643 @ SY1650 @ SY1651 )
| ( s_e @ SY1639 @ SY1641 @ SY1643 @ SY1651 ) ) )
| ~ ! [SY1652: $i,SY1653: $i] :
( ( s_fs @ SV198 @ SY1639 @ SY1640 @ SY1641 @ SY1642 @ SY1643 @ SY1652 @ SY1653 )
| ~ ( s_col @ SV198 @ SY1639 @ SY1640 )
| ~ ( s_e3 @ SV198 @ SY1639 @ SY1640 @ SY1642 @ SY1643 @ SY1652 )
| ~ ( s_e @ SV198 @ SY1641 @ SY1642 @ SY1653 )
| ~ ( s_e @ SY1639 @ SY1641 @ SY1643 @ SY1653 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(1039,plain,
( ( ~ ~ ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 )
| ~ ~ ( ~ ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
| ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ~ ( ( sK1_Xa != sK2_SY900 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(1040,plain,
! [SV199: $i] :
( ( ~ ( ~ ! [SY1654: $i] :
( ( SV199 = SY1654 )
| ! [SY1655: $i] : ( s_col @ SV199 @ SY1654 @ ( midpoint @ SY1655 @ ( reflect @ SV199 @ SY1654 @ SY1655 ) ) ) )
| ~ ! [SY1656: $i,SY1657: $i] :
( ( perp @ SV199 @ SY1656 @ SY1657 @ ( reflect @ SV199 @ SY1656 @ SY1657 ) )
| ( SV199 = SY1656 )
| ( SY1657
= ( reflect @ SV199 @ SY1656 @ SY1657 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(1041,plain,
! [SV200: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY1658: $i,SY1659: $i] :
( ( s_col @ SV200 @ SY1658 @ SY1659 )
| ( SV200 = SY1658 )
| ( perp @ SV200 @ SY1658 @ ( erect21a @ SV200 @ SY1658 @ SY1659 ) @ SV200 ) )
| ~ ! [SY1660: $i,SY1661: $i] :
( ( s_col @ SV200 @ SY1660 @ SY1661 )
| ( SV200 = SY1660 )
| ( s_col @ SV200 @ SY1660 @ ( erectAux21a @ SV200 @ SY1660 @ SY1661 ) ) ) )
| ~ ! [SY1662: $i,SY1663: $i] :
( ( s_col @ SV200 @ SY1662 @ SY1663 )
| ( SV200 = SY1662 )
| ( s_t @ SY1663 @ ( erectAux21a @ SV200 @ SY1662 @ SY1663 ) @ ( erect21a @ SV200 @ SY1662 @ SY1663 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(1042,plain,
! [SV201: $i] :
( ( ! [SY1664: $i,SY1665: $i,SY1666: $i,SY1667: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1668: $i,SY1669: $i] :
( ~ ( s_kf @ SV201 @ SY1664 @ SY1665 @ SY1666 @ SY1667 @ SY1668 @ SY1669 )
| ( s_t @ SV201 @ SY1666 @ SY1669 ) )
| ~ ( ! [SY1670: $i,SY1671: $i] :
~ ( s_kf @ SV201 @ SY1664 @ SY1665 @ SY1666 @ SY1667 @ SY1670 @ SY1671 )
| ( s_t @ SY1665 @ SY1666 @ SY1667 ) ) )
| ~ ( ! [SY1672: $i,SY1673: $i] :
~ ( s_kf @ SV201 @ SY1664 @ SY1665 @ SY1666 @ SY1667 @ SY1672 @ SY1673 )
| ( s_e @ SY1666 @ SV201 @ SY1666 @ SY1665 ) ) )
| ~ ! [SY1674: $i,SY1675: $i] :
( ~ ( s_kf @ SV201 @ SY1664 @ SY1665 @ SY1666 @ SY1667 @ SY1674 @ SY1675 )
| ( s_e @ SY1666 @ SY1675 @ SY1666 @ SY1667 ) ) )
| ~ ( ! [SY1676: $i,SY1677: $i] :
~ ( s_kf @ SV201 @ SY1664 @ SY1665 @ SY1666 @ SY1667 @ SY1676 @ SY1677 )
| ( s_m @ SV201 @ SY1664 @ SY1665 ) ) )
| ~ ! [SY1678: $i,SY1679: $i] :
( ~ ( s_kf @ SV201 @ SY1664 @ SY1665 @ SY1666 @ SY1667 @ SY1678 @ SY1679 )
| ( s_m @ SY1679 @ SY1678 @ SY1667 ) ) )
| ~ ! [SY1680: $i,SY1681: $i] :
( ( s_kf @ SV201 @ SY1664 @ SY1665 @ SY1666 @ SY1667 @ SY1680 @ SY1681 )
| ~ ( s_t @ SV201 @ SY1666 @ SY1681 )
| ~ ( s_t @ SY1665 @ SY1666 @ SY1667 )
| ~ ( s_e @ SY1666 @ SV201 @ SY1666 @ SY1665 )
| ~ ( s_e @ SY1666 @ SY1681 @ SY1666 @ SY1667 )
| ~ ( s_m @ SV201 @ SY1664 @ SY1665 )
| ~ ( s_m @ SY1681 @ SY1680 @ SY1667 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(1043,plain,
! [SV202: $i] :
( ( ~ ( ~ ! [SY1682: $i,SY1683: $i] :
( ~ ( sameside @ SV202 @ SY1682 @ SY1683 )
| ( s_col @ SV202 @ SY1682 @ SY1683 ) )
| ~ ! [SY1684: $i,SY1685: $i] :
( ~ ( sameside @ SV202 @ SY1684 @ SY1685 )
| ~ ( s_t @ SV202 @ SY1684 @ SY1685 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(1044,plain,
! [SV203: $i] :
( ( ! [SY1686: $i,SY1687: $i] :
~ ( ~ ! [SY1688: $i] :
( ~ ( perp @ SV203 @ SY1686 @ SY1687 @ SY1688 )
| ( perpAt @ SV203 @ SY1686 @ ( il @ SV203 @ SY1686 @ SY1687 @ SY1688 ) @ SY1687 @ SY1688 ) )
| ~ ! [SY1689: $i] :
( ( perp @ SV203 @ SY1686 @ SY1687 @ SY1689 )
| ! [SY1690: $i] :
~ ( perpAt @ SV203 @ SY1686 @ SY1690 @ SY1687 @ SY1689 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(1045,plain,
! [SV204: $i] :
( ( ! [SY1691: $i] :
~ ( ~ ! [SY1692: $i,SY1693: $i] :
( ( sameside @ ( insert @ SY1692 @ SY1693 @ SY1691 @ SV204 ) @ SY1691 @ SV204 )
| ( SV204 = SY1691 )
| ( SY1692 = SY1693 ) )
| ~ ! [SY1694: $i,SY1695: $i] :
( ( s_e @ SY1691 @ ( insert @ SY1694 @ SY1695 @ SY1691 @ SV204 ) @ SY1694 @ SY1695 )
| ( SV204 = SY1691 )
| ( SY1694 = SY1695 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(1046,plain,
! [SV205: $i] :
( ( ~ ( ~ ! [SY1696: $i,SY1697: $i] :
( ( s_col @ SV205 @ SY1696 @ SY1697 )
| ( s_col @ SV205 @ SY1696 @ ( foot @ SV205 @ SY1696 @ SY1697 ) ) )
| ~ ! [SY1698: $i,SY1699: $i] :
( ( perp @ SV205 @ SY1698 @ SY1699 @ ( foot @ SV205 @ SY1698 @ SY1699 ) )
| ( s_col @ SV205 @ SY1698 @ SY1699 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(1047,plain,
! [SV206: $i] :
( ( ! [SY1700: $i,SY1701: $i,SY1702: $i,SY1703: $i,SY1704: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY1705: $i,SY1706: $i] :
~ ( s_ifs @ SV206 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1705 @ SY1706 )
| ( s_t @ SV206 @ SY1700 @ SY1701 ) )
| ~ ! [SY1707: $i] :
( ! [SY1708: $i] :
~ ( s_ifs @ SV206 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1707 @ SY1708 )
| ( s_t @ SY1703 @ SY1704 @ SY1707 ) ) )
| ~ ! [SY1709: $i] :
( ! [SY1710: $i] :
~ ( s_ifs @ SV206 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1709 @ SY1710 )
| ( s_e @ SV206 @ SY1701 @ SY1703 @ SY1709 ) ) )
| ~ ! [SY1711: $i] :
( ! [SY1712: $i] :
~ ( s_ifs @ SV206 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1711 @ SY1712 )
| ( s_e @ SY1700 @ SY1701 @ SY1704 @ SY1711 ) ) )
| ~ ! [SY1713: $i,SY1714: $i] :
( ~ ( s_ifs @ SV206 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1713 @ SY1714 )
| ( s_e @ SV206 @ SY1702 @ SY1703 @ SY1714 ) ) )
| ~ ! [SY1715: $i,SY1716: $i] :
( ~ ( s_ifs @ SV206 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1715 @ SY1716 )
| ( s_e @ SY1701 @ SY1702 @ SY1715 @ SY1716 ) ) )
| ~ ! [SY1717: $i,SY1718: $i] :
( ( s_ifs @ SV206 @ SY1700 @ SY1701 @ SY1702 @ SY1703 @ SY1704 @ SY1717 @ SY1718 )
| ~ ( s_t @ SV206 @ SY1700 @ SY1701 )
| ~ ( s_t @ SY1703 @ SY1704 @ SY1717 )
| ~ ( s_e @ SV206 @ SY1701 @ SY1703 @ SY1717 )
| ~ ( s_e @ SY1700 @ SY1701 @ SY1704 @ SY1717 )
| ~ ( s_e @ SV206 @ SY1702 @ SY1703 @ SY1718 )
| ~ ( s_e @ SY1701 @ SY1702 @ SY1717 @ SY1718 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(1048,plain,
! [SV207: $i] :
( ( ! [SY1719: $i,SY1720: $i,SY1721: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY1722: $i] :
( ! [SY1723: $i] :
~ ( s_e3 @ SV207 @ SY1719 @ SY1720 @ SY1721 @ SY1722 @ SY1723 )
| ( s_e @ SV207 @ SY1719 @ SY1721 @ SY1722 ) )
| ~ ! [SY1724: $i,SY1725: $i] :
( ~ ( s_e3 @ SV207 @ SY1719 @ SY1720 @ SY1721 @ SY1724 @ SY1725 )
| ( s_e @ SV207 @ SY1720 @ SY1721 @ SY1725 ) ) )
| ~ ! [SY1726: $i,SY1727: $i] :
( ~ ( s_e3 @ SV207 @ SY1719 @ SY1720 @ SY1721 @ SY1726 @ SY1727 )
| ( s_e @ SY1719 @ SY1720 @ SY1726 @ SY1727 ) ) )
| ~ ! [SY1728: $i,SY1729: $i] :
( ( s_e3 @ SV207 @ SY1719 @ SY1720 @ SY1721 @ SY1728 @ SY1729 )
| ~ ( s_e @ SV207 @ SY1719 @ SY1721 @ SY1728 )
| ~ ( s_e @ SV207 @ SY1720 @ SY1721 @ SY1729 )
| ~ ( s_e @ SY1719 @ SY1720 @ SY1728 @ SY1729 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(1049,plain,
! [SV208: $i,SV1: $i] :
( ( s_e @ SV1 @ SV208 @ SV208 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(1050,plain,
! [SV209: $i,SV2: $i] :
( ( ! [SY1730: $i,SY1731: $i,SY1732: $i,SY1733: $i] :
( ( s_e @ SY1730 @ SY1731 @ SY1732 @ SY1733 )
| ~ ( s_e @ SV2 @ SV209 @ SY1730 @ SY1731 )
| ~ ( s_e @ SV2 @ SV209 @ SY1732 @ SY1733 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(1051,plain,
! [SV210: $i,SV3: $i] :
( ( ! [SY1734: $i] :
~ ( s_e @ SV3 @ SV210 @ SY1734 @ SY1734 )
| ( SV3 = SV210 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(1052,plain,
! [SV211: $i,SV4: $i] :
( ( ! [SY1735: $i,SY1736: $i,SY1737: $i,SY1738: $i,SY1739: $i,SY1740: $i] :
( ( s_e @ SY1737 @ SY1739 @ SY1738 @ SY1740 )
| ( SV4 = SV211 )
| ~ ( s_e @ SV4 @ SV211 @ SY1735 @ SY1736 )
| ~ ( s_e @ SV211 @ SY1737 @ SY1736 @ SY1738 )
| ~ ( s_e @ SV4 @ SY1739 @ SY1735 @ SY1740 )
| ~ ( s_e @ SV211 @ SY1739 @ SY1736 @ SY1740 )
| ~ ( s_t @ SV4 @ SV211 @ SY1737 )
| ~ ( s_t @ SY1735 @ SY1736 @ SY1738 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(1053,plain,
! [SV212: $i,SV5: $i] :
( ( ~ ( s_t @ SV5 @ SV212 @ SV5 )
| ( SV5 = SV212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(1054,plain,
! [SV213: $i,SV6: $i] :
( ( s_e @ SV6 @ SV213 @ SV6 @ SV213 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(1055,plain,
! [SV214: $i,SV7: $i] :
( ( ! [SY1741: $i,SY1742: $i] :
( ~ ( s_e @ SV7 @ SV214 @ SY1741 @ SY1742 )
| ( s_e @ SY1741 @ SY1742 @ SV7 @ SV214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(1056,plain,
! [SV215: $i,SV8: $i] :
( ( ! [SY1743: $i,SY1744: $i,SY1745: $i,SY1746: $i] :
( ( s_e @ SV8 @ SV215 @ SY1745 @ SY1746 )
| ~ ( s_e @ SV8 @ SV215 @ SY1743 @ SY1744 )
| ~ ( s_e @ SY1743 @ SY1744 @ SY1745 @ SY1746 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(1057,plain,
! [SV216: $i,SV9: $i] :
( ( ! [SY1747: $i,SY1748: $i] :
( ~ ( s_e @ SV9 @ SV216 @ SY1747 @ SY1748 )
| ( s_e @ SV216 @ SV9 @ SY1747 @ SY1748 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(1058,plain,
! [SV217: $i,SV10: $i] :
( ( ! [SY1749: $i,SY1750: $i] :
( ~ ( s_e @ SV10 @ SV217 @ SY1749 @ SY1750 )
| ( s_e @ SV10 @ SV217 @ SY1750 @ SY1749 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(1059,plain,
! [SV218: $i,SV11: $i] :
( ( s_e @ SV11 @ SV11 @ SV218 @ SV218 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(1060,plain,
! [SV219: $i,SV12: $i] :
( ( ! [SY1751: $i,SY1752: $i,SY1753: $i,SY1754: $i] :
( ( s_e @ SV12 @ SY1751 @ SY1752 @ SY1754 )
| ~ ( s_t @ SV12 @ SV219 @ SY1751 )
| ~ ( s_t @ SY1752 @ SY1753 @ SY1754 )
| ~ ( s_e @ SV12 @ SV219 @ SY1752 @ SY1753 )
| ~ ( s_e @ SV219 @ SY1751 @ SY1753 @ SY1754 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(1061,plain,
! [SV220: $i,SV13: $i] :
( ( ! [SY1755: $i,SY1756: $i,SY1757: $i] :
( ( SY1755
= ( ext @ SV13 @ SV220 @ SY1756 @ SY1757 ) )
| ( SV13 = SV220 )
| ~ ( s_t @ SV13 @ SV220 @ SY1755 )
| ~ ( s_e @ SV220 @ SY1755 @ SY1756 @ SY1757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(1062,plain,
! [SV221: $i,SV14: $i] :
( ( ! [SY1758: $i] :
~ ( s_e @ SV14 @ SV221 @ SY1758 @ SY1758 )
| ( SV14 = SV221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(1063,plain,
! [SV222: $i,SV15: $i] :
( ( ! [SY1759: $i,SY1760: $i] :
( ~ ( s_e @ SV15 @ SV222 @ SY1759 @ SY1760 )
| ( s_e @ SV222 @ SV15 @ SY1760 @ SY1759 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(1064,plain,
! [SV223: $i,SV16: $i] :
( ( ! [SY1761: $i,SY1762: $i,SY1763: $i,SY1764: $i] :
( ( s_e @ SV16 @ SY1761 @ SY1762 @ SY1764 )
| ~ ( s_t @ SV16 @ SV223 @ SY1761 )
| ~ ( s_t @ SY1762 @ SY1763 @ SY1764 )
| ~ ( s_e @ SV16 @ SV223 @ SY1763 @ SY1764 )
| ~ ( s_e @ SV223 @ SY1761 @ SY1762 @ SY1763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(1065,plain,
! [SV224: $i,SV17: $i] :
( ( s_t @ SV17 @ SV224 @ SV224 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(1066,plain,
! [SV225: $i,SV18: $i] :
( ( ! [SY1765: $i] :
( ~ ( s_t @ SV18 @ SV225 @ SY1765 )
| ( s_t @ SY1765 @ SV225 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(1067,plain,
! [SV226: $i,SV19: $i] :
( ( s_t @ SV19 @ SV19 @ SV226 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(1068,plain,
! [SV227: $i,SV20: $i] :
( ( ( SV20 = SV227 )
| ! [SY1766: $i] :
( ~ ( s_t @ SV20 @ SV227 @ SY1766 )
| ~ ( s_t @ SV227 @ SV20 @ SY1766 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(1069,plain,
! [SV228: $i,SV21: $i] :
( ( ! [SY1767: $i,SY1768: $i] :
( ( s_t @ SV21 @ SV228 @ SY1768 )
| ~ ( s_t @ SV21 @ SV228 @ SY1767 )
| ~ ( s_t @ SV228 @ SY1768 @ SY1767 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(1070,plain,
! [SV22: $i,SV229: $i] :
( ( ! [SY1769: $i,SY1770: $i] :
( ( s_t @ SV229 @ SY1769 @ SY1770 )
| ~ ( s_t @ SV22 @ SV229 @ SY1769 )
| ~ ( s_t @ SV22 @ SY1769 @ SY1770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(1071,plain,
! [SV230: $i,SV23: $i] :
( ( ! [SY1771: $i,SY1772: $i] :
( ( s_t @ SV23 @ SY1771 @ SY1772 )
| ( SV230 = SY1771 )
| ~ ( s_t @ SV23 @ SV230 @ SY1771 )
| ~ ( s_t @ SV230 @ SY1771 @ SY1772 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(1072,plain,
! [SV231: $i,SV24: $i] :
( ( ! [SY1773: $i,SY1774: $i] :
( ( s_t @ SV24 @ SY1774 @ SY1773 )
| ~ ( s_t @ SV24 @ SV231 @ SY1773 )
| ~ ( s_t @ SV231 @ SY1774 @ SY1773 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(1073,plain,
! [SV232: $i,SV25: $i] :
( ( ! [SY1775: $i,SY1776: $i] :
( ( s_t @ SV25 @ SV232 @ SY1776 )
| ~ ( s_t @ SV25 @ SV232 @ SY1775 )
| ~ ( s_t @ SV25 @ SY1775 @ SY1776 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(1074,plain,
! [SV233: $i,SV26: $i] :
( ( ! [SY1777: $i,SY1778: $i] :
( ( s_t @ SV26 @ SV233 @ SY1778 )
| ( SV233 = SY1777 )
| ~ ( s_t @ SV26 @ SV233 @ SY1777 )
| ~ ( s_t @ SV233 @ SY1777 @ SY1778 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(1075,plain,
! [SV234: $i,SV27: $i] :
( ( s_t @ SV27 @ SV234 @ ( ext @ SV27 @ SV234 @ alpha @ gamma ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(1076,plain,
! [SV235: $i,SV28: $i] :
( ( SV28
!= ( ext @ SV235 @ SV28 @ alpha @ gamma ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(1077,plain,
! [SV236: $i,SV29: $i] :
( ( ! [SY1779: $i,SY1780: $i,SY1781: $i,SY1782: $i,SY1783: $i,SY1784: $i] :
( ~ ( s_ifs @ SV29 @ SV236 @ SY1779 @ SY1780 @ SY1781 @ SY1782 @ SY1783 @ SY1784 )
| ( s_e @ SV236 @ SY1780 @ SY1782 @ SY1784 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(1078,plain,
! [SV237: $i,SV30: $i] :
( ( ! [SY1785: $i,SY1786: $i,SY1787: $i] :
( ( s_e @ SV30 @ SV237 @ SY1786 @ SY1787 )
| ! [SY1788: $i] :
( ~ ( s_t @ SV30 @ SV237 @ SY1785 )
| ~ ( s_t @ SY1786 @ SY1787 @ SY1788 )
| ~ ( s_e @ SV30 @ SY1785 @ SY1786 @ SY1788 )
| ~ ( s_e @ SV237 @ SY1785 @ SY1787 @ SY1788 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(1079,plain,
! [SV238: $i,SV31: $i] :
( ( ! [SY1789: $i,SY1790: $i,SY1791: $i,SY1792: $i] :
( ( s_t @ SY1790 @ SY1791 @ SY1792 )
| ~ ( s_t @ SV31 @ SV238 @ SY1789 )
| ~ ( s_e3 @ SV31 @ SV238 @ SY1789 @ SY1790 @ SY1791 @ SY1792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(1080,plain,
! [SV239: $i,SV32: $i] :
( ( ! [SY1793: $i] :
( ~ ( s_col @ SV32 @ SV239 @ SY1793 )
| ( s_col @ SV239 @ SY1793 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(1081,plain,
! [SV240: $i,SV33: $i] :
( ( ! [SY1794: $i] :
( ~ ( s_col @ SV33 @ SV240 @ SY1794 )
| ( s_col @ SY1794 @ SV33 @ SV240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(1082,plain,
! [SV241: $i,SV34: $i] :
( ( ! [SY1795: $i] :
( ~ ( s_col @ SV34 @ SV241 @ SY1795 )
| ( s_col @ SY1795 @ SV241 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(1083,plain,
! [SV242: $i,SV35: $i] :
( ( ! [SY1796: $i] :
( ~ ( s_col @ SV35 @ SV242 @ SY1796 )
| ( s_col @ SV242 @ SV35 @ SY1796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(1084,plain,
! [SV243: $i,SV36: $i] :
( ( ! [SY1797: $i] :
( ~ ( s_col @ SV36 @ SV243 @ SY1797 )
| ( s_col @ SV36 @ SY1797 @ SV243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(1085,plain,
! [SV244: $i,SV37: $i] :
( ( s_col @ SV37 @ SV37 @ SV244 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(1086,plain,
! [SV245: $i,SV38: $i] :
( ( s_col @ SV38 @ SV245 @ SV38 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(1087,plain,
! [SV246: $i,SV39: $i] :
( ( ! [SY1798: $i,SY1799: $i,SY1800: $i,SY1801: $i] :
( ( s_col @ SY1799 @ SY1800 @ SY1801 )
| ~ ( s_col @ SV39 @ SV246 @ SY1798 )
| ~ ( s_e3 @ SV39 @ SV246 @ SY1798 @ SY1799 @ SY1800 @ SY1801 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(1088,plain,
! [SV247: $i,SV40: $i] :
( ( ! [SY1802: $i,SY1803: $i,SY1804: $i] :
( ( s_e3 @ SV40 @ SV247 @ SY1802 @ SY1803 @ SY1804 @ ( insert5 @ SV40 @ SV247 @ SY1802 @ SY1803 @ SY1804 ) )
| ~ ( s_col @ SV40 @ SV247 @ SY1802 )
| ~ ( s_e @ SV40 @ SV247 @ SY1803 @ SY1804 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(1089,plain,
! [SV248: $i,SV41: $i] :
( ( ! [SY1805: $i,SY1806: $i,SY1807: $i,SY1808: $i,SY1809: $i,SY1810: $i] :
( ( s_e @ SY1805 @ SY1806 @ SY1809 @ SY1810 )
| ~ ( s_fs @ SV41 @ SV248 @ SY1805 @ SY1806 @ SY1807 @ SY1808 @ SY1809 @ SY1810 )
| ( SV41 = SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(1090,plain,
! [SV249: $i,SV42: $i] :
( ( ! [SY1811: $i,SY1812: $i,SY1813: $i] :
( ( s_e @ SY1811 @ SY1812 @ SY1811 @ SY1813 )
| ( SV42 = SV249 )
| ~ ( s_col @ SV42 @ SV249 @ SY1811 )
| ~ ( s_e @ SV42 @ SY1812 @ SV42 @ SY1813 )
| ~ ( s_e @ SV249 @ SY1812 @ SV249 @ SY1813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(1091,plain,
! [SV250: $i,SV43: $i] :
( ( ! [SY1814: $i,SY1815: $i] :
( ( SY1814 = SY1815 )
| ( SV43 = SV250 )
| ~ ( s_col @ SV43 @ SV250 @ SY1814 )
| ~ ( s_e @ SV43 @ SY1814 @ SV43 @ SY1815 )
| ~ ( s_e @ SV250 @ SY1814 @ SV250 @ SY1815 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(1092,plain,
! [SV44: $i,SV251: $i] :
( ( ! [SY1816: $i,SY1817: $i] :
( ( SV251 = SY1817 )
| ~ ( s_t @ SV44 @ SV251 @ SY1816 )
| ~ ( s_e @ SV44 @ SV251 @ SV44 @ SY1817 )
| ~ ( s_e @ SY1816 @ SV251 @ SY1816 @ SY1817 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(1093,plain,
! [SV252: $i,SV45: $i] :
( ( ! [SY1818: $i,SY1819: $i] :
( ( s_t @ SV45 @ SY1819 @ SY1818 )
| ( s_t @ SV45 @ SY1818 @ SY1819 )
| ( SV45 = SV252 )
| ~ ( s_t @ SV45 @ SV252 @ SY1818 )
| ~ ( s_t @ SV45 @ SV252 @ SY1819 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(1094,plain,
! [SV46: $i,SV253: $i] :
( ( ! [SY1820: $i,SY1821: $i] :
( ( s_t @ SV253 @ SY1821 @ SY1820 )
| ( s_t @ SV253 @ SY1820 @ SY1821 )
| ( SV46 = SV253 )
| ~ ( s_t @ SV46 @ SV253 @ SY1820 )
| ~ ( s_t @ SV46 @ SV253 @ SY1821 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(1095,plain,
! [SV254: $i,SV47: $i] :
( ( ! [SY1822: $i,SY1823: $i] :
( ( s_t @ SV47 @ SY1823 @ SV254 )
| ( s_t @ SV47 @ SV254 @ SY1823 )
| ~ ( s_t @ SV47 @ SV254 @ SY1822 )
| ~ ( s_t @ SV47 @ SY1823 @ SY1822 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(1096,plain,
! [SV255: $i,SV48: $i] :
( ( ! [SY1824: $i,SY1825: $i,SY1826: $i] :
( ( le @ SV48 @ SV255 @ SY1824 @ SY1825 )
| ~ ( s_t @ SV48 @ SV255 @ SY1826 )
| ~ ( s_e @ SV48 @ SY1826 @ SY1824 @ SY1825 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(1097,plain,
! [SV256: $i,SV49: $i] :
( ( ! [SY1827: $i,SY1828: $i,SY1829: $i,SY1830: $i,SY1831: $i,SY1832: $i] :
( ( le @ SY1829 @ SY1830 @ SY1831 @ SY1832 )
| ~ ( le @ SV49 @ SV256 @ SY1827 @ SY1828 )
| ~ ( s_e @ SV49 @ SV256 @ SY1829 @ SY1830 )
| ~ ( s_e @ SY1827 @ SY1828 @ SY1831 @ SY1832 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(1098,plain,
! [SV257: $i,SV50: $i] :
( ( le @ SV50 @ SV257 @ SV50 @ SV257 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(1099,plain,
! [SV258: $i,SV51: $i] :
( ( ! [SY1833: $i,SY1834: $i,SY1835: $i,SY1836: $i] :
( ( le @ SV51 @ SV258 @ SY1835 @ SY1836 )
| ~ ( le @ SV51 @ SV258 @ SY1833 @ SY1834 )
| ~ ( le @ SY1833 @ SY1834 @ SY1835 @ SY1836 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(1100,plain,
! [SV259: $i,SV52: $i] :
( ( ! [SY1837: $i,SY1838: $i] :
( ( s_e @ SV52 @ SV259 @ SY1837 @ SY1838 )
| ~ ( le @ SV52 @ SV259 @ SY1837 @ SY1838 )
| ~ ( le @ SY1837 @ SY1838 @ SV52 @ SV259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(1101,plain,
! [SV260: $i,SV53: $i] :
( ( ! [SY1839: $i,SY1840: $i] :
( ( le @ SV53 @ SV260 @ SY1839 @ SY1840 )
| ( le @ SY1839 @ SY1840 @ SV53 @ SV260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(1102,plain,
! [SV261: $i,SV54: $i] :
( ( ! [SY1841: $i] : ( le @ SV54 @ SV54 @ SV261 @ SY1841 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(1103,plain,
! [SV262: $i,SV55: $i] :
( ( ! [SY1842: $i] :
( ( le @ SV55 @ SV262 @ SV55 @ SY1842 )
| ~ ( s_col @ SV55 @ SV262 @ SY1842 )
| ~ ( s_t @ SV55 @ SV262 @ SY1842 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(1104,plain,
! [SV56: $i,SV263: $i] :
( ( ! [SY1843: $i] :
( ( le @ SV263 @ SY1843 @ SV56 @ SY1843 )
| ~ ( s_col @ SV56 @ SV263 @ SY1843 )
| ~ ( s_t @ SV56 @ SV263 @ SY1843 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(1105,plain,
! [SV57: $i,SV264: $i] :
( ( ! [SY1844: $i] :
( ( SY1844 = SV264 )
| ~ ( s_t @ SV57 @ SV264 @ SY1844 )
| ~ ( s_e @ SV57 @ SY1844 @ SV57 @ SV264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(1106,plain,
! [SV265: $i,SV58: $i] :
( ( ! [SY1845: $i] :
( ~ ( s_col @ SV58 @ SV265 @ SY1845 )
| ( s_t @ SV58 @ SV265 @ SY1845 )
| ~ ( le @ SV58 @ SV265 @ SV58 @ SY1845 )
| ~ ( le @ SV265 @ SY1845 @ SV58 @ SY1845 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[896]) ).
thf(1107,plain,
! [SV266: $i,SV59: $i] :
( ( ! [SY1846: $i] :
( ( sameside @ SV59 @ SV266 @ SY1846 )
| ! [SY1847: $i] :
( ( SY1847 = SV266 )
| ( SV59 = SV266 )
| ( SY1846 = SV266 )
| ~ ( s_t @ SV59 @ SV266 @ SY1847 )
| ~ ( s_t @ SY1846 @ SV266 @ SY1847 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(1108,plain,
! [SV60: $i,SV267: $i] :
( ( ! [SY1848: $i] :
( ! [SY1849: $i] :
( ( s_t @ SY1848 @ SV267 @ SY1849 )
| ( SY1849 = SV267 )
| ( SV60 = SV267 )
| ( SY1848 = SV267 )
| ~ ( s_t @ SV60 @ SV267 @ SY1849 ) )
| ~ ( sameside @ SV60 @ SV267 @ SY1848 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(1109,plain,
! [SV61: $i,SV268: $i] :
( ( ! [SY1850: $i,SY1851: $i] :
( ( SY1851 = SV268 )
| ( SY1850 = SV268 )
| ( SV61 = SV268 )
| ( sameside @ SV61 @ SV268 @ SY1850 )
| ~ ( s_t @ SV61 @ SV268 @ SY1851 )
| ~ ( s_t @ SY1850 @ SV268 @ SY1851 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(1110,plain,
! [SV269: $i,SV62: $i] :
( ( ! [SY1852: $i] :
( ( s_t @ SV62 @ SV269 @ SY1852 )
| ( sameside @ SV62 @ SV269 @ SY1852 )
| ~ ( s_col @ SV62 @ SV269 @ SY1852 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(1111,plain,
! [SV270: $i,SV63: $i] :
( ( ( SV63 = SV270 )
| ( sameside @ SV63 @ SV270 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(1112,plain,
! [SV271: $i,SV64: $i] :
( ( ! [SY1853: $i] :
( ~ ( sameside @ SV64 @ SV271 @ SY1853 )
| ( sameside @ SY1853 @ SV271 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(1113,plain,
! [SV272: $i,SV65: $i] :
( ( ! [SY1854: $i,SY1855: $i] :
( ( sameside @ SV65 @ SV272 @ SY1855 )
| ~ ( sameside @ SV65 @ SV272 @ SY1854 )
| ~ ( sameside @ SY1854 @ SV272 @ SY1855 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(1114,plain,
! [SV273: $i,SV66: $i] :
( ( ! [SY1856: $i,SY1857: $i,SY1858: $i,SY1859: $i] :
( ( SY1858 = SY1859 )
| ( SV66 = SV273 )
| ( SY1856 = SY1857 )
| ~ ( sameside @ SY1858 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SY1858 @ SY1856 @ SY1857 )
| ~ ( sameside @ SY1859 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SY1859 @ SY1856 @ SY1857 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(1115,plain,
! [SV67: $i,SV274: $i] :
( ( ! [SY1860: $i] :
( ( s_t @ SV274 @ SV67 @ SY1860 )
| ~ ( sameside @ SV67 @ SV274 @ SY1860 )
| ~ ( le @ SV274 @ SV67 @ SV274 @ SY1860 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1116,plain,
! [SV275: $i,SV68: $i] :
( ( ! [SY1861: $i] :
( ~ ( sameside @ SV68 @ SV275 @ SY1861 )
| ( le @ SV275 @ SV68 @ SV275 @ SY1861 )
| ~ ( s_t @ SV275 @ SV68 @ SY1861 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(1117,plain,
! [SV276: $i,SV69: $i] :
( ( ! [SY1862: $i,SY1863: $i] :
( ( sameside @ SY1863 @ SV69 @ SY1862 )
| ( sameside @ SY1863 @ SV69 @ SV276 )
| ( SY1863 = SV69 )
| ( SV69 = SV276 )
| ( SV69 = SY1862 )
| ~ ( s_t @ SV276 @ SV69 @ SY1862 )
| ~ ( s_col @ SY1863 @ SV69 @ SV276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(1118,plain,
! [SV277: $i,SV70: $i] :
( ( ! [SY1864: $i,SY1865: $i] :
( ( s_col @ SY1865 @ SV70 @ SV277 )
| ( SV70 = SV277 )
| ( SV70 = SY1864 )
| ~ ( s_t @ SV277 @ SV70 @ SY1864 )
| ~ ( sameside @ SY1865 @ SV70 @ SV277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(1119,plain,
! [SV278: $i,SV71: $i] :
( ( ! [SY1866: $i,SY1867: $i] :
( ( s_col @ SY1867 @ SV71 @ SV278 )
| ( SV71 = SV278 )
| ( SV71 = SY1866 )
| ~ ( s_t @ SV278 @ SV71 @ SY1866 )
| ~ ( sameside @ SY1867 @ SV71 @ SY1866 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1120,plain,
! [SV279: $i,SV72: $i] :
( ( ! [SY1868: $i,SY1869: $i] :
( ( s_col @ SY1869 @ SV72 @ SV279 )
| ( SY1869 != SV72 )
| ( SV72 = SV279 )
| ( SV72 = SY1868 )
| ~ ( s_t @ SV279 @ SV72 @ SY1868 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(1121,plain,
! [SV73: $i,SV280: $i] :
( ( ! [SY1870: $i,SY1871: $i] :
( ( s_t @ SY1870 @ SY1871 @ SV280 )
| ( s_t @ SY1871 @ SY1870 @ SV280 )
| ( SV73 = SV280 )
| ~ ( s_t @ SY1870 @ SV73 @ SV280 )
| ~ ( s_t @ SY1871 @ SV73 @ SV280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(1122,plain,
! [SV281: $i,SV74: $i] :
( ( ! [SY1872: $i,SY1873: $i] :
( ( s_col @ SV74 @ SY1872 @ SY1873 )
| ( SV74 = SV281 )
| ( SY1872 = SV74 )
| ~ ( s_col @ SV74 @ SV281 @ SY1872 )
| ~ ( s_col @ SV74 @ SV281 @ SY1873 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1123,plain,
! [SV282: $i,SV75: $i] :
( ( ( SV75 = SV282 )
| ( s_col @ SV75 @ SV282 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1124,plain,
! [SV76: $i,SV283: $i] :
( ( ! [SY1874: $i] :
( ( s_col @ SV283 @ SV76 @ SY1874 )
| ( SV76 = SV283 )
| ~ ( s_col @ SV76 @ SV283 @ SY1874 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1125,plain,
! [SV284: $i,SV77: $i] :
( ( ! [SY1875: $i,SY1876: $i,SY1877: $i] :
( ( s_col @ SV77 @ SV284 @ SY1877 )
| ( SV77 = SV284 )
| ( SY1875 = SY1876 )
| ~ ( s_col @ SY1875 @ SY1876 @ SV77 )
| ~ ( s_col @ SY1875 @ SY1876 @ SV284 )
| ~ ( s_col @ SY1875 @ SY1876 @ SY1877 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1126,plain,
! [SV285: $i,SV78: $i] :
( ( ! [SY1878: $i,SY1879: $i,SY1880: $i,SY1881: $i,SY1882: $i] :
( ( s_col @ SY1878 @ SY1879 @ SY1882 )
| ( SY1880 = SY1881 )
| ( SV78 = SV285 )
| ( SY1878 = SY1879 )
| ~ ( s_col @ SV78 @ SV285 @ SY1880 )
| ~ ( s_col @ SY1878 @ SY1879 @ SY1880 )
| ~ ( s_col @ SV78 @ SV285 @ SY1881 )
| ~ ( s_col @ SY1878 @ SY1879 @ SY1881 )
| ~ ( s_col @ SV78 @ SV285 @ SY1882 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1127,plain,
! [SV286: $i,SV79: $i] :
( ( ( SV79 = SV286 )
| ~ ( s_col @ SV79 @ SV286 @ ( pointOffLine @ SV79 @ SV286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1128,plain,
! [SV287: $i,SV80: $i] :
( ( ! [SY1883: $i,SY1884: $i,SY1885: $i,SY1886: $i] :
( ( s_e @ SV80 @ SY1883 @ SY1884 @ SY1886 )
| ~ ( sameside @ SV80 @ SV287 @ SY1883 )
| ~ ( sameside @ SY1884 @ SY1885 @ SY1886 )
| ~ ( s_e @ SV287 @ SV80 @ SY1885 @ SY1884 )
| ~ ( s_e @ SV287 @ SY1883 @ SY1885 @ SY1886 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1129,plain,
! [SV288: $i,SV81: $i] :
( ( ! [SY1887: $i] :
( ~ ( s_m @ SV81 @ SV288 @ SY1887 )
| ( s_m @ SY1887 @ SV288 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1130,plain,
! [SV289: $i,SV82: $i] :
( ( ~ ( s_m @ SV82 @ SV289 @ SV82 )
| ( SV289 = SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1131,plain,
! [SV83: $i,SV290: $i] :
( ( ( SV290 != SV83 )
| ( s_m @ SV83 @ SV290 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1132,plain,
! [SV291: $i,SV84: $i] :
( ( s_m @ SV84 @ SV291 @ ( s @ SV291 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1133,plain,
! [SV292: $i,SV85: $i] :
( ( ! [SY1888: $i,SY1889: $i] :
( ( SY1888 = SY1889 )
| ~ ( s_m @ SV85 @ SV292 @ SY1888 )
| ~ ( s_m @ SV85 @ SV292 @ SY1889 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1134,plain,
! [SV293: $i,SV86: $i] :
( ( ! [SY1890: $i] :
( ~ ( s_m @ SV86 @ SV293 @ SY1890 )
| ( SY1890
= ( s @ SV293 @ SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1135,plain,
! [SV294: $i,SV87: $i] :
( ( ( s @ SV87 @ ( s @ SV87 @ SV294 ) )
= SV294 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1136,plain,
! [SV88: $i,SV295: $i] :
( ( ! [SY1891: $i,SY1892: $i] :
( ( SV295 = SY1892 )
| ( ( s @ SV88 @ SV295 )
!= SY1891 )
| ( ( s @ SV88 @ SY1892 )
!= SY1891 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1137,plain,
! [SV296: $i,SV89: $i] :
( ( ! [SY1893: $i] :
( ( ( s @ SV89 @ SV296 )
!= ( s @ SV89 @ SY1893 ) )
| ( SV296 = SY1893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1138,plain,
! [SV297: $i,SV90: $i] :
( ( ( ( s @ SV90 @ SV297 )
!= SV297 )
| ( SV297 = SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1139,plain,
! [SV91: $i,SV298: $i] :
( ( ( SV298 != SV91 )
| ( ( s @ SV91 @ SV298 )
= SV298 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1140,plain,
! [SV299: $i,SV92: $i] :
( ( ! [SY1894: $i] : ( s_e @ SV92 @ SV299 @ ( s @ SY1894 @ SV92 ) @ ( s @ SY1894 @ SV299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1141,plain,
! [SV300: $i,SV93: $i] :
( ( ! [SY1895: $i] :
( ~ ( s_t @ SV93 @ SV300 @ SY1895 )
| ! [SY1896: $i] : ( s_t @ ( s @ SY1896 @ SV93 ) @ ( s @ SY1896 @ SV300 ) @ ( s @ SY1896 @ SY1895 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1142,plain,
! [SV301: $i,SV94: $i] :
( ( ! [SY1897: $i] :
( ( s_t @ SV94 @ SV301 @ SY1897 )
| ! [SY1898: $i] :
~ ( s_t @ ( s @ SY1898 @ SV94 ) @ ( s @ SY1898 @ SV301 ) @ ( s @ SY1898 @ SY1897 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1143,plain,
! [SV302: $i,SV95: $i] :
( ( ! [SY1899: $i,SY1900: $i] :
( ~ ( s_e @ SV95 @ SV302 @ SY1899 @ SY1900 )
| ! [SY1901: $i] : ( s_e @ ( s @ SY1901 @ SV95 ) @ ( s @ SY1901 @ SV302 ) @ ( s @ SY1901 @ SY1899 ) @ ( s @ SY1901 @ SY1900 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1144,plain,
! [SV303: $i,SV96: $i] :
( ( ! [SY1902: $i,SY1903: $i] :
( ( s_e @ SV96 @ SV303 @ SY1902 @ SY1903 )
| ! [SY1904: $i] :
~ ( s_e @ ( s @ SY1904 @ SV96 ) @ ( s @ SY1904 @ SV303 ) @ ( s @ SY1904 @ SY1902 ) @ ( s @ SY1904 @ SY1903 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1145,plain,
! [SV97: $i,SV304: $i] :
( ( ! [SY1905: $i,SY1906: $i] :
( ( SV304 = SY1906 )
| ~ ( s_m @ SV97 @ SV304 @ SY1905 )
| ~ ( s_m @ SV97 @ SY1906 @ SY1905 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1146,plain,
! [SV305: $i,SV98: $i] :
( ( ! [SY1907: $i] :
( ( ( s @ SV98 @ SV305 )
!= ( s @ SY1907 @ SV305 ) )
| ( SV98 = SY1907 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1147,plain,
! [SV306: $i,SV99: $i] :
( ( ! [SY1908: $i] :
( ( s @ SV99 @ ( s @ SV306 @ SY1908 ) )
!= ( s @ SV306 @ ( s @ SV99 @ SY1908 ) ) )
| ( SV99 = SV306 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1148,plain,
! [SV307: $i,SV100: $i] :
( ( ! [SY1909: $i] :
( ( s_m @ SV100 @ SV307 @ SY1909 )
| ( SV100 = SY1909 )
| ~ ( s_col @ SV100 @ SV307 @ SY1909 )
| ~ ( s_e @ SV307 @ SV100 @ SV307 @ SY1909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(1149,plain,
! [SV308: $i,SV101: $i] :
( ( ! [SY1910: $i,SY1911: $i,SY1912: $i] :
( ( s_m @ SV101 @ SY1912 @ SY1910 )
| ( SV308 = SY1911 )
| ( s_col @ SV101 @ SV308 @ SY1910 )
| ~ ( s_e @ SV101 @ SV308 @ SY1910 @ SY1911 )
| ~ ( s_e @ SV308 @ SY1910 @ SY1911 @ SV101 )
| ~ ( s_col @ SV101 @ SY1912 @ SY1910 )
| ~ ( s_col @ SV308 @ SY1912 @ SY1911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1150,plain,
! [SV309: $i,SV102: $i] :
( ( ! [SY1913: $i,SY1914: $i,SY1915: $i,SY1916: $i,SY1917: $i] :
( ~ ( s_kf @ SV102 @ SV309 @ SY1913 @ SY1914 @ SY1915 @ SY1916 @ SY1917 )
| ( s_t @ SV309 @ SY1914 @ SY1916 )
| ~ ( le @ SY1914 @ SV102 @ SY1914 @ SY1917 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1151,plain,
! [SV310: $i,SV103: $i] :
( ( ! [SY1918: $i,SY1919: $i,SY1920: $i,SY1921: $i] :
( ! [SY1922: $i] :
~ ( s_kf @ SV103 @ SV310 @ SY1918 @ SY1919 @ SY1920 @ SY1921 @ SY1922 )
| ( s_t @ SV310 @ SY1919 @ SY1921 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1152,plain,
! [SV104: $i,SV311: $i] :
( ( ! [SY1923: $i,SY1924: $i,SY1925: $i,SY1926: $i,SY1927: $i] :
( ( s_t @ SY1926 @ SV311 @ SY1927 )
| ~ ( s_t @ SV104 @ SV311 @ SY1923 )
| ~ ( s_t @ SY1924 @ SV311 @ SY1925 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SY1924 )
| ~ ( s_e @ SV311 @ SY1923 @ SV311 @ SY1925 )
| ~ ( s_m @ SV104 @ SY1926 @ SY1924 )
| ~ ( s_m @ SY1923 @ SY1927 @ SY1925 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1153,plain,
! [SV312: $i,SV105: $i] :
( ( ! [SY1928: $i] :
( ~ ( s_e @ SV105 @ SV312 @ SV105 @ SY1928 )
| ( s_m @ SV312 @ ( isomidpoint @ SV312 @ SY1928 @ SV105 ) @ SY1928 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1154,plain,
! [SV313: $i,SV106: $i] :
( ( ! [SY1929: $i] :
( ~ ( s_r @ SV106 @ SV313 @ SY1929 )
| ( s_r @ SY1929 @ SV313 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1155,plain,
! [SV107: $i,SV314: $i] :
( ( ! [SY1930: $i,SY1931: $i] :
( ( s_r @ SY1931 @ SV314 @ SY1930 )
| ~ ( s_r @ SV107 @ SV314 @ SY1930 )
| ( SV107 = SV314 )
| ~ ( s_col @ SV314 @ SV107 @ SY1931 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1156,plain,
! [SV315: $i,SV108: $i] :
( ( ! [SY1932: $i] :
( ~ ( s_r @ SV108 @ SV315 @ SY1932 )
| ( s_r @ SV108 @ SV315 @ ( s @ SV315 @ SY1932 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1157,plain,
! [SV316: $i,SV109: $i] :
( ( s_r @ SV109 @ SV316 @ SV316 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1158,plain,
! [SV110: $i,SV317: $i] :
( ( ! [SY1933: $i] :
( ( SV317 = SY1933 )
| ! [SY1934: $i] :
( ~ ( s_r @ SV110 @ SV317 @ SY1933 )
| ~ ( s_r @ SY1934 @ SV317 @ SY1933 )
| ~ ( s_t @ SV110 @ SY1933 @ SY1934 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1159,plain,
! [SV111: $i,SV318: $i] :
( ( ! [SY1935: $i] :
( ( SV318 = SY1935 )
| ~ ( s_r @ SV111 @ SV318 @ SY1935 )
| ~ ( s_r @ SV111 @ SY1935 @ SV318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1160,plain,
! [SV319: $i,SV112: $i] :
( ( ~ ( s_r @ SV112 @ SV319 @ SV112 )
| ( SV112 = SV319 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1161,plain,
! [SV113: $i,SV320: $i] :
( ( ! [SY1936: $i] :
( ( SY1936 = SV320 )
| ( SV113 = SV320 )
| ~ ( s_r @ SV113 @ SV320 @ SY1936 )
| ~ ( s_col @ SV113 @ SV320 @ SY1936 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1162,plain,
! [SV321: $i,SV114: $i] :
( ( ! [SY1937: $i,SY1938: $i,SY1939: $i,SY1940: $i] :
( ( s_r @ SY1938 @ SY1939 @ SY1940 )
| ~ ( s_r @ SV114 @ SV321 @ SY1937 )
| ~ ( s_e3 @ SV114 @ SV321 @ SY1937 @ SY1938 @ SY1939 @ SY1940 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1163,plain,
! [SV322: $i,SV115: $i] :
( ( ! [SY1941: $i,SY1942: $i,SY1943: $i] :
( ~ ( perpAt @ SV115 @ SV322 @ SY1941 @ SY1942 @ SY1943 )
| ( perpAt @ SY1942 @ SY1943 @ SY1941 @ SV115 @ SV322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(1164,plain,
! [SV323: $i,SV116: $i] :
( ( ! [SY1944: $i,SY1945: $i] :
( ~ ( perp @ SV116 @ SV323 @ SY1944 @ SY1945 )
| ( perp @ SY1944 @ SY1945 @ SV116 @ SV323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1165,plain,
! [SV324: $i,SV117: $i] :
( ( ! [SY1946: $i,SY1947: $i,SY1948: $i] :
( ( perpAt @ SV117 @ SV324 @ SY1948 @ SY1946 @ SY1947 )
| ! [SY1949: $i,SY1950: $i] :
( ( SY1948 = SY1950 )
| ( SY1948 = SY1949 )
| ( SV117 = SV324 )
| ( SY1946 = SY1947 )
| ~ ( s_col @ SY1946 @ SY1947 @ SY1948 )
| ~ ( s_col @ SV117 @ SV324 @ SY1948 )
| ~ ( s_col @ SV117 @ SV324 @ SY1949 )
| ~ ( s_col @ SY1946 @ SY1947 @ SY1950 )
| ~ ( s_r @ SY1949 @ SY1948 @ SY1950 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1166,plain,
! [SV325: $i,SV118: $i] :
( ( ! [SY1951: $i,SY1952: $i] :
( ~ ( perp @ SV118 @ SV325 @ SY1951 @ SY1952 )
| ~ ( s_col @ SV118 @ SV325 @ SY1951 )
| ~ ( s_col @ SV118 @ SV325 @ SY1952 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1167,plain,
! [SV326: $i,SV119: $i] :
( ( ! [SY1953: $i,SY1954: $i,SY1955: $i] :
( ( perpAt @ SV119 @ SV326 @ SY1955 @ SY1953 @ SY1954 )
| ~ ( perp @ SV119 @ SV326 @ SY1953 @ SY1954 )
| ~ ( s_col @ SV119 @ SV326 @ SY1955 )
| ~ ( s_col @ SY1953 @ SY1954 @ SY1955 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1168,plain,
! [SV327: $i,SV120: $i] :
( ( ! [SY1956: $i,SY1957: $i,SY1958: $i] :
( ~ ( perpAt @ SV120 @ SV327 @ SY1956 @ SY1957 @ SY1958 )
| ( SY1956
= ( il @ SV120 @ SV327 @ SY1957 @ SY1958 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1169,plain,
! [SV328: $i,SV121: $i] :
( ( ! [SY1959: $i,SY1960: $i] :
( ( perpAt @ SV121 @ SV328 @ SY1959 @ SY1960 @ SY1959 )
| ( SV121 = SV328 )
| ~ ( s_col @ SV121 @ SV328 @ SY1959 )
| ~ ( perp @ SV121 @ SV328 @ SY1960 @ SY1959 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1170,plain,
! [SV329: $i,SV122: $i] :
( ( ! [SY1961: $i,SY1962: $i,SY1963: $i] :
( ( s_col @ SV122 @ SV329 @ SY1963 )
| ( perp @ SV122 @ SV329 @ SY1963 @ SY1961 )
| ( SY1962 = SY1961 )
| ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SY1961 )
| ~ ( s_col @ SV122 @ SV329 @ SY1962 )
| ~ ( s_r @ SY1963 @ SY1961 @ SY1962 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1171,plain,
! [SV330: $i,SV123: $i] :
( ( ! [SY1964: $i,SY1965: $i,SY1966: $i] :
( ( SY1965 = SY1966 )
| ( s_col @ SV123 @ SV330 @ SY1964 )
| ~ ( s_col @ SV123 @ SV330 @ SY1965 )
| ~ ( s_col @ SV123 @ SV330 @ SY1966 )
| ~ ( perp @ SV123 @ SV330 @ SY1964 @ SY1965 )
| ~ ( perp @ SV123 @ SV330 @ SY1964 @ SY1966 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1172,plain,
! [SV124: $i,SV331: $i] :
( ( ! [SY1967: $i,SY1968: $i] :
( ( s_r @ SV331 @ SV124 @ SY1968 )
| ~ ( s_r @ SV124 @ SV331 @ SY1967 )
| ~ ( s_m @ ( s @ SV124 @ SY1967 ) @ SY1968 @ ( s @ SV331 @ SY1967 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1173,plain,
! [SV332: $i,SV125: $i] :
( ( ! [SY1969: $i,SY1970: $i] :
( ( SV125 != SY1970 )
| ( SV332 = SY1969 )
| ~ ( s_r @ SV125 @ SV332 @ SY1969 )
| ~ ( s_m @ ( s @ SV125 @ SY1969 ) @ SY1970 @ ( s @ SV332 @ SY1969 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1174,plain,
! [SV333: $i,SV126: $i] :
( ( ! [SY1971: $i,SY1972: $i] :
( ~ ( perp @ SV126 @ SV333 @ SY1971 @ SY1972 )
| ( perp @ SV333 @ SV126 @ SY1971 @ SY1972 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1175,plain,
! [SV334: $i,SV127: $i] :
( ( ! [SY1973: $i,SY1974: $i,SY1975: $i] :
( ( s_col @ SV127 @ SV334 @ SY1975 )
| ( SV127 = SV334 )
| ( SY1973 = SY1974 )
| ~ ( s_col @ SV127 @ SV334 @ SY1973 )
| ~ ( s_col @ SV127 @ SV334 @ SY1974 )
| ~ ( s_col @ SY1973 @ SY1974 @ SY1975 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1176,plain,
! [SV335: $i,SV128: $i] :
( ( ! [SY1976: $i,SY1977: $i,SY1978: $i] :
( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SY1976 @ SV335 @ SY1977 @ SY1978 ) @ SY1976 )
| ~ ( le @ SV128 @ SV335 @ SY1976 @ SY1977 )
| ~ ( perp @ SV128 @ SY1976 @ SV128 @ SV335 )
| ~ ( perp @ SV128 @ SY1976 @ SY1976 @ SY1977 )
| ~ ( s_t @ SV335 @ SY1978 @ SY1977 )
| ~ ( s_col @ SV128 @ SY1976 @ SY1978 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(1177,plain,
! [SV336: $i,SV129: $i] :
( ( s_m @ SV129 @ ( midpoint @ SV129 @ SV336 ) @ SV336 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1178,plain,
! [SV130: $i,SV337: $i] :
( ( ! [SY1979: $i,SY1980: $i,SY1981: $i,SY1982: $i,SY1983: $i] :
( ( s_m @ SV337 @ SY1983 @ SY1979 )
| ( SY1983
!= ( ip @ SV130 @ SY1981 @ SY1980 @ SY1979 @ SY1982 ) )
| ~ ( perp @ SV130 @ SV337 @ SV337 @ SY1979 )
| ~ ( perp @ SY1980 @ SY1979 @ SV337 @ SY1979 )
| ~ ( s_col @ SV337 @ SY1979 @ SY1981 )
| ~ ( s_t @ SV130 @ SY1981 @ SY1980 )
| ~ ( s_t @ SY1979 @ SY1982 @ SY1980 )
| ~ ( s_e @ SV337 @ SV130 @ SY1979 @ SY1982 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1179,plain,
! [SV338: $i,SV131: $i] :
( ( ! [SY1984: $i,SY1985: $i,SY1986: $i,SY1987: $i,SY1988: $i] :
( ( s_m @ SV131 @ SY1988 @ SY1987 )
| ( SY1988
!= ( ip @ SV131 @ SY1986 @ SY1985 @ SY1984 @ SY1987 ) )
| ~ ( perp @ SV131 @ SV338 @ SV338 @ SY1984 )
| ~ ( perp @ SY1985 @ SY1984 @ SV338 @ SY1984 )
| ~ ( s_col @ SV338 @ SY1984 @ SY1986 )
| ~ ( s_t @ SV131 @ SY1986 @ SY1985 )
| ~ ( s_t @ SY1984 @ SY1987 @ SY1985 )
| ~ ( s_e @ SV338 @ SV131 @ SY1984 @ SY1987 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1180,plain,
! [SV339: $i,SV132: $i] :
( ( ! [SY1989: $i,SY1990: $i,SY1991: $i,SY1992: $i] :
( ( s_m @ SV132 @ ( midpoint @ SV339 @ SY1989 ) @ SY1992 )
| ~ ( perp @ SV132 @ SV339 @ SV339 @ SY1989 )
| ~ ( perp @ SY1990 @ SY1989 @ SV339 @ SY1989 )
| ~ ( s_col @ SV339 @ SY1989 @ SY1991 )
| ~ ( s_t @ SV132 @ SY1991 @ SY1990 )
| ~ ( s_t @ SY1989 @ SY1992 @ SY1990 )
| ~ ( s_e @ SV339 @ SV132 @ SY1989 @ SY1992 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1181,plain,
! [SV340: $i,SV133: $i] :
( ( ! [SY1993: $i,SY1994: $i] :
( ( s_col @ SV133 @ SY1993 @ SY1994 )
| ( SV133 = SV340 )
| ~ ( s_col @ SV133 @ SV340 @ SY1993 )
| ~ ( s_col @ SV133 @ SV340 @ SY1994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1182,plain,
! [SV341: $i,SV134: $i] :
( ( ! [SY1995: $i,SY1996: $i,SY1997: $i,SY1998: $i,SY1999: $i] :
( ( perpAt @ SV134 @ SV341 @ SY1997 @ SY1998 @ SY1999 )
| ( SV134 = SV341 )
| ( SY1995 = SY1996 )
| ~ ( s_col @ SV134 @ SV341 @ SY1995 )
| ~ ( s_col @ SV134 @ SV341 @ SY1996 )
| ~ ( perpAt @ SY1995 @ SY1996 @ SY1997 @ SY1998 @ SY1999 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1183,plain,
! [SV342: $i,SV135: $i] :
( ( ! [SY2000: $i,SY2001: $i,SY2002: $i,SY2003: $i] :
( ( perp @ SV135 @ SV342 @ SY2002 @ SY2003 )
| ( SV135 = SV342 )
| ( SY2000 = SY2001 )
| ~ ( s_col @ SV135 @ SV342 @ SY2000 )
| ~ ( s_col @ SV135 @ SV342 @ SY2001 )
| ~ ( perp @ SY2000 @ SY2001 @ SY2002 @ SY2003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1184,plain,
! [SV136: $i,SV343: $i] :
( ( ! [SY2004: $i,SY2005: $i] :
( ( perp @ SV343 @ SV136 @ SV136 @ SY2005 )
| ( SV136 = SY2005 )
| ( SY2005 = SY2004 )
| ( SV343 = SY2004 )
| ( SV136 = SV343 )
| ( SV136 = SY2004 )
| ~ ( perp @ SV343 @ SV136 @ SV136 @ SY2004 )
| ~ ( s_col @ SV136 @ SY2004 @ SY2005 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1185,plain,
! [SV344: $i,SV137: $i] :
( ( ! [SY2006: $i,SY2007: $i] :
( ~ ( perp @ SV137 @ SV344 @ SY2006 @ SY2007 )
| ( perp @ SV137 @ SV344 @ SY2007 @ SY2006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1186,plain,
! [SV345: $i,SV138: $i] :
( ( ! [SY2008: $i,SY2009: $i,SY2010: $i,SY2011: $i] :
( ( perp @ SY2008 @ SY2009 @ SY2010 @ SY2011 )
| ( SV138 = SV345 )
| ( SY2008 = SY2009 )
| ~ ( s_col @ SV138 @ SV345 @ SY2008 )
| ~ ( s_col @ SV138 @ SV345 @ SY2009 )
| ~ ( perp @ SV138 @ SV345 @ SY2010 @ SY2011 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(1187,plain,
( ( ( perp @ xc @ xd @ xp @ xq )
= $true )
| ( ( ( xa = xb )
| ( xp = xq )
| ~ ( s_col @ xa @ xb @ xp )
| ~ ( s_col @ xa @ xb @ xq ) )
= $true )
| ( ( ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1188,plain,
! [SV346: $i,SV139: $i] :
( ( ! [SY2012: $i,SY2013: $i,SY2014: $i] :
( ( samesideline @ SY2013 @ SY2014 @ SV139 @ SY2012 )
| ( SV139 = SY2012 )
| ~ ( s_col @ SV139 @ SV346 @ SY2012 )
| ( SV139 = SV346 )
| ~ ( samesideline @ SY2013 @ SY2014 @ SV139 @ SV346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1189,plain,
! [SV140: $i,SV347: $i] :
( ( ! [SY2015: $i,SY2016: $i] :
( ( samesideline @ SY2015 @ SY2016 @ SV347 @ SV140 )
| ( SV140 = SV347 )
| ~ ( samesideline @ SY2015 @ SY2016 @ SV140 @ SV347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1190,plain,
! [SV348: $i,SV141: $i] :
( ( ! [SY2017: $i,SY2018: $i] :
( ~ ( opposite @ SV141 @ SV348 @ SY2017 @ SY2018 )
| ( opposite @ SY2018 @ SV348 @ SY2017 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1191,plain,
! [SV142: $i,SV349: $i] :
( ( ! [SY2019: $i,SY2020: $i,SY2021: $i,SY2022: $i,SY2023: $i] :
( ( opposite @ SY2023 @ SV349 @ SY2019 @ SY2020 )
| ~ ( opposite @ SV142 @ SV349 @ SY2019 @ SY2020 )
| ~ ( s_col @ SV349 @ SY2019 @ SY2021 )
| ~ ( s_m @ SV142 @ SY2021 @ SY2020 )
| ~ ( s_col @ SV349 @ SY2019 @ SY2022 )
| ~ ( sameside @ SV142 @ SY2022 @ SY2023 )
| ~ ( s_t @ SY2022 @ SY2023 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1192,plain,
! [SV143: $i,SV350: $i] :
( ( ! [SY2024: $i,SY2025: $i,SY2026: $i,SY2027: $i,SY2028: $i] :
( ( opposite @ SY2028 @ SV350 @ SY2024 @ SY2025 )
| ~ ( opposite @ SV143 @ SV350 @ SY2024 @ SY2025 )
| ~ ( s_col @ SV350 @ SY2024 @ SY2026 )
| ~ ( s_m @ SV143 @ SY2026 @ SY2025 )
| ~ ( s_col @ SV350 @ SY2024 @ SY2027 )
| ~ ( sameside @ SV143 @ SY2027 @ SY2028 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(1193,plain,
! [SV351: $i,SV144: $i] :
( ( ! [SY2029: $i] :
( ~ ( sameside @ SV144 @ SV351 @ SY2029 )
| ! [SY2030: $i] : ( sameside @ ( s @ SY2030 @ SV144 ) @ ( s @ SY2030 @ SV351 ) @ ( s @ SY2030 @ SY2029 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1194,plain,
! [SV352: $i,SV145: $i] :
( ( ! [SY2031: $i,SY2032: $i,SY2033: $i,SY2034: $i,SY2035: $i,SY2036: $i] :
( ( sameside @ ( s @ SY2035 @ SY2036 ) @ SY2033 @ SY2032 )
| ( SY2034 = SY2033 )
| ~ ( opposite @ SV145 @ SV352 @ SY2031 @ SY2032 )
| ( SV352 = SY2031 )
| ~ ( s_col @ SV352 @ SY2031 @ SY2033 )
| ~ ( s_col @ SV352 @ SY2031 @ SY2034 )
| ~ ( perp @ SV352 @ SY2031 @ SV145 @ SY2034 )
| ~ ( perp @ SV352 @ SY2031 @ SY2032 @ SY2033 )
| ~ ( s_m @ SY2034 @ SY2035 @ SY2033 )
| ~ ( sameside @ SY2036 @ SY2034 @ SV145 )
| ~ ( le @ SY2033 @ SY2032 @ SY2034 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1195,plain,
! [SV353: $i,SV146: $i] :
( ( ! [SY2037: $i,SY2038: $i,SY2039: $i,SY2040: $i,SY2041: $i,SY2042: $i] :
( ( SY2040 = SY2039 )
| ( sameside @ SY2042 @ SY2040 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SY2037 @ SY2038 )
| ( SV353 = SY2037 )
| ~ ( s_col @ SV353 @ SY2037 @ SY2039 )
| ~ ( s_col @ SV353 @ SY2037 @ SY2040 )
| ~ ( perp @ SV353 @ SY2037 @ SV146 @ SY2040 )
| ~ ( perp @ SV353 @ SY2037 @ SY2038 @ SY2039 )
| ~ ( s_m @ SY2040 @ SY2041 @ SY2039 )
| ~ ( le @ SY2039 @ SY2038 @ SY2040 @ SV146 )
| ~ ( sameside @ ( s @ SY2041 @ SY2042 ) @ SY2039 @ SY2038 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1196,plain,
! [SV354: $i,SV147: $i] :
( ( ! [SY2043: $i,SY2044: $i,SY2045: $i,SY2046: $i,SY2047: $i,SY2048: $i] :
( ( sameside @ ( s @ SY2047 @ SY2048 ) @ SY2045 @ SY2044 )
| ( SY2046 != SY2045 )
| ~ ( opposite @ SV147 @ SV354 @ SY2043 @ SY2044 )
| ( SV354 = SY2043 )
| ~ ( s_col @ SV354 @ SY2043 @ SY2045 )
| ~ ( s_col @ SV354 @ SY2043 @ SY2046 )
| ~ ( perp @ SV354 @ SY2043 @ SV147 @ SY2046 )
| ~ ( perp @ SV354 @ SY2043 @ SY2044 @ SY2045 )
| ~ ( s_m @ SY2046 @ SY2047 @ SY2045 )
| ~ ( sameside @ SY2048 @ SY2046 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1197,plain,
! [SV355: $i,SV148: $i] :
( ( ! [SY2049: $i,SY2050: $i,SY2051: $i,SY2052: $i,SY2053: $i,SY2054: $i] :
( ( sameside @ ( s @ SY2053 @ SY2054 ) @ SY2051 @ SY2050 )
| ~ ( opposite @ SV148 @ SV355 @ SY2049 @ SY2050 )
| ( SV355 = SY2049 )
| ~ ( s_col @ SV355 @ SY2049 @ SY2051 )
| ~ ( s_col @ SV355 @ SY2049 @ SY2052 )
| ~ ( perp @ SV355 @ SY2049 @ SV148 @ SY2052 )
| ~ ( perp @ SV355 @ SY2049 @ SY2050 @ SY2051 )
| ~ ( s_m @ SY2052 @ SY2053 @ SY2051 )
| ~ ( sameside @ SY2054 @ SY2052 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[987]) ).
thf(1198,plain,
! [SV149: $i,SV356: $i] :
( ( ! [SY2055: $i,SY2056: $i,SY2057: $i,SY2058: $i,SY2059: $i,SY2060: $i,SY2061: $i] :
( ( opposite @ SY2060 @ SV356 @ SY2055 @ SY2061 )
| ~ ( opposite @ SV149 @ SV356 @ SY2055 @ SY2056 )
| ( SV356 = SY2055 )
| ~ ( s_col @ SV356 @ SY2055 @ SY2057 )
| ~ ( s_col @ SV356 @ SY2055 @ SY2058 )
| ~ ( perp @ SV356 @ SY2055 @ SV149 @ SY2058 )
| ~ ( perp @ SV356 @ SY2055 @ SY2056 @ SY2057 )
| ~ ( s_m @ SY2058 @ SY2059 @ SY2057 )
| ~ ( sameside @ SY2060 @ SY2058 @ SV149 )
| ~ ( sameside @ SY2061 @ SY2057 @ SY2056 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1199,plain,
! [SV150: $i,SV357: $i] :
( ( ! [SY2062: $i,SY2063: $i,SY2064: $i,SY2065: $i] :
( ( opposite @ SY2065 @ SV357 @ SY2062 @ SY2063 )
| ~ ( opposite @ SV150 @ SV357 @ SY2062 @ SY2063 )
| ~ ( s_col @ SV357 @ SY2062 @ SY2064 )
| ~ ( sameside @ SV150 @ SY2064 @ SY2065 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1200,plain,
! [SV358: $i,SV151: $i] :
( ( ! [SY2066: $i,SY2067: $i,SY2068: $i] :
( ~ ( opposite @ SV151 @ SV358 @ SY2066 @ SY2067 )
| ( opposite @ SY2068 @ SV358 @ SY2066 @ SY2067 )
| ~ ( samesideline @ SV151 @ SY2068 @ SV358 @ SY2066 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1201,plain,
! [SV359: $i,SV152: $i] :
( ( ! [SY2069: $i,SY2070: $i] :
( ~ ( opposite @ SV152 @ SV359 @ SY2069 @ SY2070 )
| ~ ( samesideline @ SV152 @ SY2070 @ SV359 @ SY2069 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1202,plain,
! [SV360: $i,SV153: $i] :
( ( ! [SY2071: $i,SY2072: $i,SY2073: $i] :
( ( samesideline @ SY2071 @ SY2073 @ SV153 @ SV360 )
| ( SV153 = SV360 )
| ~ ( samesideline @ SY2071 @ SY2072 @ SV153 @ SV360 )
| ~ ( samesideline @ SY2072 @ SY2073 @ SV153 @ SV360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1203,plain,
! [SV361: $i,SV154: $i] :
( ( ! [SY2074: $i,SY2075: $i] :
( ~ ( samesideline @ SV154 @ SV361 @ SY2074 @ SY2075 )
| ( samesideline @ SV154 @ SV361 @ SY2075 @ SY2074 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1204,plain,
! [SV362: $i,SV155: $i] :
( ( ! [SY2076: $i,SY2077: $i] :
( ( s_col @ SV155 @ SV362 @ SY2077 )
| ! [SY2078: $i] :
( ( SV155 = SV362 )
| ~ ( s_m @ SY2076 @ SY2077 @ SY2078 )
| ~ ( s_col @ SV155 @ SV362 @ SY2076 )
| ~ ( s_col @ SV155 @ SV362 @ SY2078 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1205,plain,
! [SV363: $i,SV156: $i] :
( ( ! [SY2079: $i,SY2080: $i,SY2081: $i] :
( ( samesideline @ SY2080 @ SY2081 @ SV156 @ SV363 )
| ( SV156 = SV363 )
| ~ ( s_t @ SV363 @ SV156 @ SY2079 )
| ~ ( samesideline @ SY2080 @ SY2081 @ SY2079 @ SV363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1206,plain,
! [SV364: $i,SV157: $i] :
( ( ! [SY2082: $i,SY2083: $i] :
( ( samesideline @ SY2083 @ SY2082 @ SV157 @ SV364 )
| ( SV157 = SV364 )
| ~ ( samesideline @ SY2082 @ SY2083 @ SV157 @ SV364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1207,plain,
! [SV365: $i,SV158: $i] :
( ( ! [SY2084: $i,SY2085: $i,SY2086: $i] :
( ( opposite @ SV158 @ SV365 @ SY2084 @ SY2086 )
| ~ ( opposite @ SV158 @ SV365 @ SY2084 @ SY2085 )
| ~ ( samesideline @ SY2085 @ SY2086 @ SV365 @ SY2084 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1208,plain,
! [SV366: $i,SV159: $i] :
( ( ! [SY2087: $i,SY2088: $i,SY2089: $i] :
( ( s_col @ SY2087 @ SY2088 @ SY2089 )
| ( SY2088 = SY2087 )
| ( SV159 = SV366 )
| ~ ( perpAt @ SV159 @ SV366 @ SY2087 @ SY2088 @ SY2087 )
| ~ ( perpAt @ SV159 @ SV366 @ SY2087 @ SY2089 @ SY2087 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1209,plain,
! [SV367: $i,SV160: $i] :
( ( ! [SY2090: $i] :
( ( SV160
!= ( foot @ SV160 @ SV367 @ SY2090 ) )
| ! [SY2091: $i] :
( ( opposite @ SY2090 @ SV160 @ SV367 @ SY2091 )
| ( samesideline @ SY2090 @ SY2091 @ SV160 @ SV367 )
| ( s_col @ SV160 @ SV367 @ SY2091 )
| ( SV160 = SV367 )
| ( s_col @ SV160 @ SV367 @ SY2090 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1210,plain,
! [SV368: $i,SV161: $i] :
( ( ! [SY2092: $i] :
( ( SV161
= ( foot @ SV161 @ SV368 @ SY2092 ) )
| ! [SY2093: $i] :
( ( opposite @ SY2092 @ SV161 @ SV368 @ SY2093 )
| ( samesideline @ SY2092 @ SY2093 @ SV161 @ SV368 )
| ( s_col @ SV161 @ SV368 @ SY2093 )
| ( SV161 = SV368 )
| ( s_col @ SV161 @ SV368 @ SY2092 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1211,plain,
! [SV369: $i,SV162: $i] :
( ( ! [SY2094: $i,SY2095: $i] :
( ( opposite @ SY2094 @ SV162 @ SV369 @ SY2095 )
| ( samesideline @ SY2094 @ SY2095 @ SV162 @ SV369 )
| ( s_col @ SV162 @ SV369 @ SY2095 )
| ( SV162 = SV369 )
| ( s_col @ SV162 @ SV369 @ SY2094 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1001]) ).
thf(1212,plain,
! [SV163: $i,SV370: $i] :
( ( ! [SY2096: $i,SY2097: $i,SY2098: $i] :
( ( samesideline @ SY2098 @ SV370 @ SY2096 @ SY2097 )
| ~ ( samesideline @ SV163 @ SV370 @ SY2096 @ SY2097 )
| ~ ( sameside @ SV163 @ SY2097 @ SY2098 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1213,plain,
! [SV371: $i,SV164: $i] :
( ( ! [SY2099: $i,SY2100: $i,SY2101: $i] :
( ( samesideline @ SY2100 @ SY2101 @ SV164 @ SV371 )
| ( s_col @ SV164 @ SV371 @ SY2100 )
| ( SV164 = SV371 )
| ~ ( s_col @ SV164 @ SV371 @ SY2099 )
| ~ ( s_col @ SY2100 @ SY2101 @ SY2099 )
| ~ ( sameside @ SY2100 @ SY2099 @ SY2101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1214,plain,
! [SV372: $i,SV165: $i] :
( ( ! [SY2102: $i,SY2103: $i] :
( ( ( reflect @ SV165 @ SV372 @ SY2103 )
= SY2102 )
| ( ( reflect @ SV165 @ SV372 @ SY2102 )
!= SY2103 )
| ( SV165 = SV372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1215,plain,
! [SV373: $i,SV166: $i] :
( ( ( SV166 = SV373 )
| ! [SY2104: $i] :
( ( reflect @ SV166 @ SV373 @ ( reflect @ SV166 @ SV373 @ SY2104 ) )
= SY2104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1216,plain,
! [SV374: $i,SV167: $i] :
( ( ! [SY2105: $i,SY2106: $i] :
( ( SY2105
= ( reflect @ SV167 @ SV374 @ SY2106 ) )
| ( ( reflect @ SV167 @ SV374 @ SY2105 )
!= SY2106 )
| ( SV167 = SV374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1217,plain,
! [SV375: $i,SV168: $i] :
( ( ! [SY2107: $i,SY2108: $i] :
( ( SY2107 = SY2108 )
| ( ( reflect @ SV168 @ SV375 @ SY2107 )
!= ( reflect @ SV168 @ SV375 @ SY2108 ) )
| ( SV168 = SV375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1218,plain,
! [SV376: $i,SV169: $i] :
( ( ! [SY2109: $i] :
( ( s_col @ SV169 @ SV376 @ SY2109 )
| ( ( reflect @ SV169 @ SV376 @ SY2109 )
!= SY2109 )
| ( SV169 = SV376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1219,plain,
! [SV377: $i,SV170: $i] :
( ( ! [SY2110: $i] :
( ( ( reflect @ SV170 @ SV377 @ SY2110 )
= SY2110 )
| ( SV170 = SV377 )
| ~ ( s_col @ SV170 @ SV377 @ SY2110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1220,plain,
! [SV378: $i,SV171: $i] :
( ( ! [SY2111: $i] :
( ! [SY2112: $i] : ( s_e @ SY2111 @ SY2112 @ ( reflect @ SV171 @ SV378 @ SY2111 ) @ ( reflect @ SV171 @ SV378 @ SY2112 ) )
| ( SV171 = SV378 )
| ~ ( s_col @ SV171 @ SV378 @ SY2111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1221,plain,
! [SV379: $i,SV172: $i] :
( ( ( SV172 = SV379 )
| ! [SY2113: $i,SY2114: $i] : ( s_e @ SY2113 @ SY2114 @ ( reflect @ SV172 @ SV379 @ SY2113 ) @ ( reflect @ SV172 @ SV379 @ SY2114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1222,plain,
! [SV380: $i,SV173: $i] :
( ( ! [SY2115: $i,SY2116: $i] :
( ( s_e @ SV173 @ SY2115 @ SY2116 @ SY2115 )
| ~ ( s_r @ SV173 @ SV380 @ SY2115 )
| ~ ( s_r @ SY2116 @ SV380 @ SY2115 )
| ~ ( s_e @ SV173 @ SV380 @ SY2116 @ SV380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1223,plain,
! [SV174: $i,SV381: $i] :
( ( ! [SY2117: $i,SY2118: $i,SY2119: $i] :
( ( SY2117 = SY2119 )
| ( SV381
!= ( midpoint @ SY2117 @ SY2119 ) )
| ( s_e @ SV174 @ SY2117 @ SY2118 @ SY2119 )
| ~ ( s_r @ SV174 @ SV381 @ SY2117 )
| ~ ( s_r @ SY2118 @ SV381 @ SY2119 )
| ~ ( s_e @ SV174 @ SV381 @ SY2118 @ SV381 )
| ~ ( s_e @ SV381 @ SY2117 @ SV381 @ SY2119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1013]) ).
thf(1224,plain,
! [SV382: $i,SV175: $i] :
( ( ! [SY2120: $i,SY2121: $i,SY2122: $i] :
( ( s_e @ SV175 @ SY2120 @ SY2121 @ SY2122 )
| ~ ( s_r @ SV175 @ SV382 @ SY2120 )
| ~ ( s_r @ SY2121 @ SV382 @ SY2122 )
| ~ ( s_e @ SV175 @ SV382 @ SY2121 @ SV382 )
| ~ ( s_e @ SV382 @ SY2120 @ SV382 @ SY2122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1225,plain,
! [SV383: $i,SV176: $i] :
( ( ! [SY2123: $i,SY2124: $i,SY2125: $i,SY2126: $i] :
( ( s_e @ SV176 @ SY2123 @ SY2124 @ SY2126 )
| ~ ( s_r @ SV176 @ SV383 @ SY2123 )
| ~ ( s_r @ SY2124 @ SY2125 @ SY2126 )
| ~ ( s_e @ SV176 @ SV383 @ SY2124 @ SY2125 )
| ~ ( s_e @ SV383 @ SY2123 @ SY2125 @ SY2126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1226,plain,
! [SV384: $i,SV177: $i] :
( ( ! [SY2127: $i,SY2128: $i] :
( ( insert @ SV177 @ SV384 @ SY2127 @ SY2128 )
= ( ext @ ( ext @ SY2128 @ SY2127 @ alpha @ gamma ) @ SY2127 @ SV177 @ SV384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1227,plain,
! [SV178: $i,SV385: $i] :
( ( ~ ( ~ ! [SY2129: $i,SY2130: $i] : ( s_e @ SV385 @ ( ext @ SV178 @ SV385 @ SY2129 @ SY2130 ) @ SY2129 @ SY2130 )
| ~ ! [SY2131: $i,SY2132: $i] : ( s_t @ SV178 @ SV385 @ ( ext @ SV178 @ SV385 @ SY2131 @ SY2132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1228,plain,
! [SV386: $i,SV179: $i] :
( ( ~ ( ~ ! [SY2133: $i,SY2134: $i] :
( ( SY2134
= ( reflect @ SV179 @ SV386 @ SY2133 ) )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SY2133 @ SY2134 ) )
| ~ ( perp @ SV179 @ SV386 @ SY2133 @ SY2134 ) )
| ~ ! [SY2135: $i,SY2136: $i] :
( ( SY2136
= ( reflect @ SV179 @ SV386 @ SY2135 ) )
| ( SY2135 != SY2136 )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SY2135 @ SY2136 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1229,plain,
( ( ~ ~ ( ~ ~ ( s_t @ alpha @ beta @ gamma )
| ~ ~ ( s_t @ beta @ gamma @ alpha ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1230,plain,
( ( ~ ~ ( s_t @ gamma @ alpha @ beta ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1231,plain,
! [SV180: $i] :
( ( ~ ~ ( ~ ! [SY1492: $i] :
( ( SV180 = SY1492 )
| ! [SY1493: $i] : ( perp @ SV180 @ SY1492 @ ( erect @ SV180 @ SY1492 @ SY1493 ) @ SV180 ) )
| ~ ! [SY1494: $i] :
( ( SV180 = SY1494 )
| ! [SY1495: $i] : ( s_col @ SV180 @ SY1494 @ ( erectAux @ SV180 @ SY1494 @ SY1495 ) ) ) )
| ~ ! [SY1496: $i] :
( ( SV180 = SY1496 )
| ! [SY1497: $i] : ( s_t @ SY1497 @ ( erectAux @ SV180 @ SY1496 @ SY1497 ) @ ( erect @ SV180 @ SY1496 @ SY1497 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1232,plain,
! [SV387: $i,SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY2137: $i,SY2138: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2137 @ SY2138 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SY2137 @ SY2138 @ SV181 @ SV387 ) ) )
| ~ ! [SY2139: $i,SY2140: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2139 @ SY2140 )
| ( s_e @ SV181 @ ( ins @ SY2139 @ SY2140 @ SV181 @ SV387 ) @ SY2139 @ SY2140 ) ) )
| ~ ! [SY2141: $i,SY2142: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2141 @ SY2142 )
| ( ( ins @ SY2141 @ SY2142 @ SV181 @ SV387 )
= ( ext @ SV181 @ SV387 @ ( insert @ SV181 @ SV387 @ SY2141 @ SY2142 ) @ SY2142 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1233,plain,
! [SV182: $i] :
( ( ~ ~ ( ~ ! [SY1505: $i,SY1506: $i] :
( ~ ( s_m @ SV182 @ SY1505 @ SY1506 )
| ( s_t @ SV182 @ SY1505 @ SY1506 ) )
| ~ ! [SY1507: $i,SY1508: $i] :
( ~ ( s_m @ SV182 @ SY1507 @ SY1508 )
| ( s_e @ SY1507 @ SV182 @ SY1507 @ SY1508 ) ) )
| ~ ! [SY1509: $i,SY1510: $i] :
( ( s_m @ SV182 @ SY1509 @ SY1510 )
| ~ ( s_t @ SV182 @ SY1509 @ SY1510 )
| ~ ( s_e @ SY1509 @ SV182 @ SY1509 @ SY1510 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1234,plain,
! [SV183: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
| ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) )
| ~ ! [SY1517: $i,SY1518: $i] :
( ( sameside @ SV183 @ SY1517 @ SY1518 )
| ( xb = SY1517 )
| ~ ( s_t @ SY1517 @ SV183 @ SY1518 )
| ( SV183 = SY1517 ) ) )
| ~ ! [SY1519: $i,SY1520: $i] :
( ( sameside @ SV183 @ SY1519 @ SY1520 )
| ( SY1520 = SY1519 )
| ~ ( s_t @ SY1519 @ SY1520 @ SV183 )
| ( SV183 = SY1519 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1235,plain,
! [SV184: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
| ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) )
| ~ ! [SY1527: $i,SY1528: $i] :
( ~ ( sameside @ SV184 @ SY1527 @ SY1528 )
| ( s_t @ SV184 @ SY1527 @ ( c63 @ SV184 @ SY1527 @ SY1528 ) ) ) )
| ~ ! [SY1529: $i,SY1530: $i] :
( ~ ( sameside @ SV184 @ SY1529 @ SY1530 )
| ( s_t @ SY1530 @ SY1529 @ ( c63 @ SV184 @ SY1529 @ SY1530 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1236,plain,
! [SV388: $i,SV185: $i] :
( ( ! [SY2143: $i,SY2144: $i,SY2145: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( s_col @ SY2143 @ SY2144 @ ( ss1 @ SV185 @ SV388 @ SY2143 @ SY2144 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( s_col @ SY2143 @ SY2144 @ ( ss2 @ SV185 @ SV388 @ SY2143 @ SY2144 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SY2143 @ SY2144 ) @ ( ss3 @ SV185 @ SV388 @ SY2143 @ SY2144 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SY2143 @ SY2144 ) @ ( ss3 @ SV185 @ SV388 @ SY2143 @ SY2144 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SY2143 @ SY2144 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SY2143 @ SY2144 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( ( ss3 @ SV185 @ SV388 @ SY2143 @ SY2144 )
!= ( ss1 @ SV185 @ SV388 @ SY2143 @ SY2144 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( ( ss3 @ SV185 @ SV388 @ SY2143 @ SY2144 )
!= ( ss2 @ SV185 @ SV388 @ SY2143 @ SY2144 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( SY2143 != SY2144 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ~ ( s_col @ SY2143 @ SY2144 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ~ ( s_col @ SY2143 @ SY2144 @ SV388 ) ) )
| ~ ( ( samesideline @ SV185 @ SV388 @ SY2143 @ SY2144 )
| ( s_col @ SY2143 @ SY2144 @ SV388 )
| ( s_col @ SY2143 @ SY2144 @ SV185 )
| ! [SY2146: $i,SY2147: $i] :
( ( SV388 = SY2147 )
| ( SV185 = SY2145 )
| ( SY2146 = SY2147 )
| ( SY2146 = SY2145 )
| ( SY2143 = SY2144 )
| ~ ( s_t @ SV185 @ SY2145 @ SY2146 )
| ~ ( s_t @ SV388 @ SY2147 @ SY2146 )
| ~ ( s_col @ SY2143 @ SY2144 @ SY2145 )
| ~ ( s_col @ SY2143 @ SY2144 @ SY2147 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1237,plain,
! [SV389: $i,SV186: $i] :
( ( ! [SY2148: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2149: $i] :
( ( opposite @ SY2148 @ SV186 @ SV389 @ SY2149 )
| ! [SY2150: $i] :
( ( s_col @ SV186 @ SV389 @ SY2149 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SY2148 )
| ~ ( s_t @ SY2148 @ SY2150 @ SY2149 )
| ~ ( s_col @ SV186 @ SV389 @ SY2150 ) ) )
| ~ ( ! [SY2151: $i] :
~ ( opposite @ SY2148 @ SV186 @ SV389 @ SY2151 )
| ~ ( s_col @ SV186 @ SV389 @ SY2148 ) ) )
| ~ ! [SY2152: $i] :
( ~ ( opposite @ SY2148 @ SV186 @ SV389 @ SY2152 )
| ~ ( s_col @ SV186 @ SV389 @ SY2152 ) ) )
| ~ ! [SY2153: $i] :
( ~ ( opposite @ SY2148 @ SV186 @ SV389 @ SY2153 )
| ( s_t @ SY2148 @ ( il @ SY2148 @ SY2153 @ SV186 @ SV389 ) @ SY2153 ) ) )
| ~ ! [SY2154: $i] :
( ~ ( opposite @ SY2148 @ SV186 @ SV389 @ SY2154 )
| ( s_col @ SV186 @ SV389 @ ( il @ SY2148 @ SY2154 @ SV186 @ SV389 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1238,plain,
! [SV390: $i,SV187: $i] :
( ( ! [SY2155: $i] :
~ ( ~ ! [SY2156: $i,SY2157: $i] :
( ( SY2156 = SY2155 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SY2155 )
| ~ ( s_col @ SV187 @ SV390 @ SY2156 )
| ~ ( s_col @ SV187 @ SV390 @ SY2157 )
| ~ ( perp @ SV187 @ SV390 @ SY2157 @ SY2155 ) )
| ~ ! [SY2158: $i,SY2159: $i] :
( ( s_r @ SY2159 @ SY2155 @ SY2158 )
| ( SY2158 = SY2155 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SY2155 )
| ~ ( s_col @ SV187 @ SV390 @ SY2158 )
| ~ ( perp @ SV187 @ SV390 @ SY2159 @ SY2155 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1239,plain,
! [SV188: $i] :
( ( ~ ! [SY1551: $i,SY1552: $i] :
( ~ ( s_r @ SV188 @ SY1551 @ SY1552 )
| ( s_e @ SV188 @ SY1552 @ SV188 @ ( s @ SY1551 @ SY1552 ) ) )
| ~ ! [SY1553: $i,SY1554: $i] :
( ( s_r @ SV188 @ SY1553 @ SY1554 )
| ~ ( s_e @ SV188 @ SY1554 @ SV188 @ ( s @ SY1553 @ SY1554 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1240,plain,
! [SV189: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) )
| ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) )
| ~ ! [SY1559: $i,SY1560: $i] :
( ( s_col @ SV189 @ SY1559 @ SY1560 )
| ~ ( s_t @ SY1559 @ SY1560 @ SV189 ) ) )
| ~ ! [SY1561: $i,SY1562: $i] :
( ( s_col @ SV189 @ SY1561 @ SY1562 )
| ~ ( s_t @ SY1562 @ SV189 @ SY1561 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1241,plain,
! [SV391: $i,SV190: $i] :
( ( ! [SY2160: $i] :
~ ( ~ ! [SY2161: $i,SY2162: $i] :
( ( s_t @ SY2161 @ ( insert @ SV190 @ SV391 @ SY2161 @ SY2162 ) @ SY2162 )
| ~ ( s_t @ SV190 @ SV391 @ SY2160 )
| ~ ( s_e @ SV190 @ SY2160 @ SY2161 @ SY2162 ) )
| ~ ! [SY2163: $i,SY2164: $i] :
( ( s_e3 @ SV190 @ SV391 @ SY2160 @ SY2163 @ ( insert @ SV190 @ SV391 @ SY2163 @ SY2164 ) @ SY2164 )
| ~ ( s_t @ SV190 @ SV391 @ SY2160 )
| ~ ( s_e @ SV190 @ SY2160 @ SY2163 @ SY2164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1242,plain,
! [SV392: $i,SV191: $i] :
( ( ! [SY2165: $i,SY2166: $i,SY2167: $i,SY2168: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2169: $i,SY2170: $i] :
~ ( s_afs @ SV191 @ SV392 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2169 @ SY2170 )
| ( s_t @ SV191 @ SV392 @ SY2165 ) )
| ~ ! [SY2171: $i] :
( ! [SY2172: $i] :
~ ( s_afs @ SV191 @ SV392 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2171 @ SY2172 )
| ( s_t @ SY2167 @ SY2168 @ SY2171 ) ) )
| ~ ( ! [SY2173: $i,SY2174: $i] :
~ ( s_afs @ SV191 @ SV392 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2173 @ SY2174 )
| ( s_e @ SV191 @ SV392 @ SY2167 @ SY2168 ) ) )
| ~ ! [SY2175: $i] :
( ! [SY2176: $i] :
~ ( s_afs @ SV191 @ SV392 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2175 @ SY2176 )
| ( s_e @ SV392 @ SY2165 @ SY2168 @ SY2175 ) ) )
| ~ ! [SY2177: $i,SY2178: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2177 @ SY2178 )
| ( s_e @ SV191 @ SY2166 @ SY2167 @ SY2178 ) ) )
| ~ ! [SY2179: $i,SY2180: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2179 @ SY2180 )
| ( s_e @ SV392 @ SY2166 @ SY2168 @ SY2180 ) ) )
| ~ ! [SY2181: $i,SY2182: $i] :
( ( s_afs @ SV191 @ SV392 @ SY2165 @ SY2166 @ SY2167 @ SY2168 @ SY2181 @ SY2182 )
| ~ ( s_t @ SV191 @ SV392 @ SY2165 )
| ~ ( s_t @ SY2167 @ SY2168 @ SY2181 )
| ~ ( s_e @ SV191 @ SV392 @ SY2167 @ SY2168 )
| ~ ( s_e @ SV392 @ SY2165 @ SY2168 @ SY2181 )
| ~ ( s_e @ SV191 @ SY2166 @ SY2167 @ SY2182 )
| ~ ( s_e @ SV392 @ SY2166 @ SY2168 @ SY2182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1243,plain,
! [SV393: $i,SV192: $i] :
( ( ! [SY2183: $i,SY2184: $i,SY2185: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SY2183 @ SY2184 @ SY2185 )
| ( s_col @ SV192 @ SV393 @ SY2183 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SY2183 @ SY2184 @ SY2185 )
| ( s_col @ SY2184 @ SY2185 @ SY2183 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SY2183 @ SY2184 @ SY2185 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SY2183 @ SY2184 @ SY2185 )
| ( SY2184 != SY2185 ) ) )
| ~ ! [SY2186: $i,SY2187: $i] :
( ( s_r @ SY2186 @ SY2183 @ SY2187 )
| ~ ( perpAt @ SV192 @ SV393 @ SY2183 @ SY2184 @ SY2185 )
| ~ ( s_col @ SV192 @ SV393 @ SY2186 )
| ~ ( s_col @ SY2184 @ SY2185 @ SY2187 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SY2184 @ SY2185 @ SY2183 ) )
| ( SY2184 = SY2185 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SY2183 @ SY2184 @ SY2185 )
| ~ ( s_col @ SV192 @ SV393 @ SY2183 )
| ~ ( s_col @ SY2184 @ SY2185 @ SY2183 ) ) )
| ~ ( ( s_col @ SY2184 @ SY2185 @ ( g811 @ SV192 @ SV393 @ SY2184 @ SY2185 @ SY2183 ) )
| ( SY2184 = SY2185 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SY2183 @ SY2184 @ SY2185 )
| ~ ( s_col @ SV192 @ SV393 @ SY2183 )
| ~ ( s_col @ SY2184 @ SY2185 @ SY2183 ) ) )
| ~ ( ( SY2184 = SY2185 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SY2183 @ SY2184 @ SY2185 )
| ~ ( s_col @ SV192 @ SV393 @ SY2183 )
| ~ ( s_col @ SY2184 @ SY2185 @ SY2183 )
| ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SY2184 @ SY2185 @ SY2183 ) @ SY2183 @ ( g811 @ SV192 @ SV393 @ SY2184 @ SY2185 @ SY2183 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1244,plain,
! [SV193: $i,SV394: $i] :
( ( ! [SY2188: $i] :
~ ( ~ ! [SY2189: $i,SY2190: $i] :
( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SY2188 @ SY2189 @ SY2190 ) @ SY2189 )
| ~ ( s_t @ SV193 @ SV394 @ SY2188 )
| ~ ( s_t @ SY2189 @ SY2190 @ SY2188 ) )
| ~ ! [SY2191: $i,SY2192: $i] :
( ( s_t @ SY2192 @ ( ip @ SV193 @ SV394 @ SY2188 @ SY2191 @ SY2192 ) @ SV193 )
| ~ ( s_t @ SV193 @ SV394 @ SY2188 )
| ~ ( s_t @ SY2191 @ SY2192 @ SY2188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1245,plain,
! [SV395: $i,SV194: $i] :
( ( ! [SY2193: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2194: $i,SY2195: $i] :
~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2194 @ SY2195 )
| ( SV194 != SV395 ) )
| ~ ! [SY2196: $i,SY2197: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2196 @ SY2197 )
| ( SY2196 != SY2197 ) ) )
| ~ ! [SY2198: $i,SY2199: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2198 @ SY2199 )
| ( s_col @ SY2198 @ SY2199 @ SY2193 ) ) )
| ~ ( ! [SY2200: $i,SY2201: $i] :
~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2200 @ SY2201 )
| ( s_col @ SV194 @ SV395 @ SY2193 ) ) )
| ~ ! [SY2202: $i,SY2203: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2202 @ SY2203 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2202 @ SY2203 @ SY2193 ) ) ) )
| ~ ! [SY2204: $i,SY2205: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2204 @ SY2205 )
| ( s_col @ SY2204 @ SY2205 @ ( g813 @ SV194 @ SV395 @ SY2204 @ SY2205 @ SY2193 ) ) ) )
| ~ ! [SY2206: $i,SY2207: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2206 @ SY2207 )
| ( SY2193
!= ( f813 @ SV194 @ SV395 @ SY2206 @ SY2207 @ SY2193 ) ) ) )
| ~ ! [SY2208: $i,SY2209: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2208 @ SY2209 )
| ( SY2193
!= ( g813 @ SV194 @ SV395 @ SY2208 @ SY2209 @ SY2193 ) ) ) )
| ~ ! [SY2210: $i,SY2211: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SY2193 @ SY2210 @ SY2211 )
| ( s_r @ ( f813 @ SV194 @ SV395 @ SY2210 @ SY2211 @ SY2193 ) @ SY2193 @ ( g813 @ SV194 @ SV395 @ SY2210 @ SY2211 @ SY2193 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1034]) ).
thf(1246,plain,
! [SV396: $i,SV195: $i] :
( ( ! [SY2212: $i] :
~ ( ~ ~ ( ~ ! [SY2213: $i] :
( ~ ( le @ SV195 @ SV396 @ SY2212 @ SY2213 )
| ( s_t @ SY2212 @ ( insert @ SV195 @ SV396 @ SY2212 @ SY2213 ) @ SY2213 ) )
| ~ ! [SY2214: $i] :
( ~ ( le @ SV195 @ SV396 @ SY2212 @ SY2214 )
| ( s_e @ SV195 @ SV396 @ SY2212 @ ( insert @ SV195 @ SV396 @ SY2212 @ SY2214 ) ) ) )
| ~ ! [SY2215: $i] :
( ( le @ SV195 @ SV396 @ SY2212 @ SY2215 )
| ! [SY2216: $i] :
( ~ ( s_t @ SY2212 @ SY2216 @ SY2215 )
| ~ ( s_e @ SV195 @ SV396 @ SY2212 @ SY2216 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1247,plain,
! [SV397: $i,SV196: $i] :
( ( ! [SY2217: $i,SY2218: $i] :
~ ( ~ ! [SY2219: $i,SY2220: $i] :
( ( s_t @ SY2220 @ ( crossbar @ SV196 @ SV397 @ SY2217 @ SY2218 @ SY2219 @ SY2220 ) @ SY2217 )
| ~ ( s_t @ SV196 @ SV397 @ SY2217 )
| ~ ( s_t @ SY2218 @ SY2219 @ SY2217 )
| ~ ( s_t @ SV196 @ SY2220 @ SY2218 ) )
| ~ ! [SY2221: $i,SY2222: $i] :
( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SY2217 @ SY2218 @ SY2221 @ SY2222 ) @ SY2221 )
| ~ ( s_t @ SV196 @ SV397 @ SY2217 )
| ~ ( s_t @ SY2218 @ SY2221 @ SY2217 )
| ~ ( s_t @ SV196 @ SY2222 @ SY2218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1248,plain,
! [SV398: $i,SV197: $i] :
( ( ! [SY2223: $i] :
~ ( ~ ! [SY2224: $i,SY2225: $i] :
( ( s_t @ SV197 @ ( op @ SY2225 @ SY2224 @ SY2223 @ SV398 @ SV197 ) @ SY2224 )
| ~ ( s_t @ SV197 @ SV398 @ SY2223 )
| ~ ( s_t @ SY2224 @ SY2225 @ SV398 ) )
| ~ ! [SY2226: $i,SY2227: $i] :
( ( s_t @ SY2223 @ SY2227 @ ( op @ SY2227 @ SY2226 @ SY2223 @ SV398 @ SV197 ) )
| ~ ( s_t @ SV197 @ SV398 @ SY2223 )
| ~ ( s_t @ SY2226 @ SY2227 @ SV398 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1249,plain,
! [SV399: $i,SV198: $i] :
( ( ! [SY2228: $i,SY2229: $i,SY2230: $i,SY2231: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2232: $i,SY2233: $i] :
~ ( s_fs @ SV198 @ SV399 @ SY2228 @ SY2229 @ SY2230 @ SY2231 @ SY2232 @ SY2233 )
| ( s_col @ SV198 @ SV399 @ SY2228 ) )
| ~ ! [SY2234: $i] :
( ! [SY2235: $i] :
~ ( s_fs @ SV198 @ SV399 @ SY2228 @ SY2229 @ SY2230 @ SY2231 @ SY2234 @ SY2235 )
| ( s_e3 @ SV198 @ SV399 @ SY2228 @ SY2230 @ SY2231 @ SY2234 ) ) )
| ~ ! [SY2236: $i,SY2237: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SY2228 @ SY2229 @ SY2230 @ SY2231 @ SY2236 @ SY2237 )
| ( s_e @ SV198 @ SY2229 @ SY2230 @ SY2237 ) ) )
| ~ ! [SY2238: $i,SY2239: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SY2228 @ SY2229 @ SY2230 @ SY2231 @ SY2238 @ SY2239 )
| ( s_e @ SV399 @ SY2229 @ SY2231 @ SY2239 ) ) )
| ~ ! [SY2240: $i,SY2241: $i] :
( ( s_fs @ SV198 @ SV399 @ SY2228 @ SY2229 @ SY2230 @ SY2231 @ SY2240 @ SY2241 )
| ~ ( s_col @ SV198 @ SV399 @ SY2228 )
| ~ ( s_e3 @ SV198 @ SV399 @ SY2228 @ SY2230 @ SY2231 @ SY2240 )
| ~ ( s_e @ SV198 @ SY2229 @ SY2230 @ SY2241 )
| ~ ( s_e @ SV399 @ SY2229 @ SY2231 @ SY2241 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1250,plain,
( ( ~ ~ ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1039]) ).
thf(1251,plain,
( ( ~ ~ ( ~ ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
| ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ~ ( ( sK1_Xa != sK2_SY900 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1039]) ).
thf(1252,plain,
! [SV199: $i] :
( ( ~ ! [SY1654: $i] :
( ( SV199 = SY1654 )
| ! [SY1655: $i] : ( s_col @ SV199 @ SY1654 @ ( midpoint @ SY1655 @ ( reflect @ SV199 @ SY1654 @ SY1655 ) ) ) )
| ~ ! [SY1656: $i,SY1657: $i] :
( ( perp @ SV199 @ SY1656 @ SY1657 @ ( reflect @ SV199 @ SY1656 @ SY1657 ) )
| ( SV199 = SY1656 )
| ( SY1657
= ( reflect @ SV199 @ SY1656 @ SY1657 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1253,plain,
! [SV200: $i] :
( ( ~ ~ ( ~ ! [SY1658: $i,SY1659: $i] :
( ( s_col @ SV200 @ SY1658 @ SY1659 )
| ( SV200 = SY1658 )
| ( perp @ SV200 @ SY1658 @ ( erect21a @ SV200 @ SY1658 @ SY1659 ) @ SV200 ) )
| ~ ! [SY1660: $i,SY1661: $i] :
( ( s_col @ SV200 @ SY1660 @ SY1661 )
| ( SV200 = SY1660 )
| ( s_col @ SV200 @ SY1660 @ ( erectAux21a @ SV200 @ SY1660 @ SY1661 ) ) ) )
| ~ ! [SY1662: $i,SY1663: $i] :
( ( s_col @ SV200 @ SY1662 @ SY1663 )
| ( SV200 = SY1662 )
| ( s_t @ SY1663 @ ( erectAux21a @ SV200 @ SY1662 @ SY1663 ) @ ( erect21a @ SV200 @ SY1662 @ SY1663 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1254,plain,
! [SV400: $i,SV201: $i] :
( ( ! [SY2242: $i,SY2243: $i,SY2244: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2245: $i,SY2246: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SY2242 @ SY2243 @ SY2244 @ SY2245 @ SY2246 )
| ( s_t @ SV201 @ SY2243 @ SY2246 ) )
| ~ ( ! [SY2247: $i,SY2248: $i] :
~ ( s_kf @ SV201 @ SV400 @ SY2242 @ SY2243 @ SY2244 @ SY2247 @ SY2248 )
| ( s_t @ SY2242 @ SY2243 @ SY2244 ) ) )
| ~ ( ! [SY2249: $i,SY2250: $i] :
~ ( s_kf @ SV201 @ SV400 @ SY2242 @ SY2243 @ SY2244 @ SY2249 @ SY2250 )
| ( s_e @ SY2243 @ SV201 @ SY2243 @ SY2242 ) ) )
| ~ ! [SY2251: $i,SY2252: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SY2242 @ SY2243 @ SY2244 @ SY2251 @ SY2252 )
| ( s_e @ SY2243 @ SY2252 @ SY2243 @ SY2244 ) ) )
| ~ ( ! [SY2253: $i,SY2254: $i] :
~ ( s_kf @ SV201 @ SV400 @ SY2242 @ SY2243 @ SY2244 @ SY2253 @ SY2254 )
| ( s_m @ SV201 @ SV400 @ SY2242 ) ) )
| ~ ! [SY2255: $i,SY2256: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SY2242 @ SY2243 @ SY2244 @ SY2255 @ SY2256 )
| ( s_m @ SY2256 @ SY2255 @ SY2244 ) ) )
| ~ ! [SY2257: $i,SY2258: $i] :
( ( s_kf @ SV201 @ SV400 @ SY2242 @ SY2243 @ SY2244 @ SY2257 @ SY2258 )
| ~ ( s_t @ SV201 @ SY2243 @ SY2258 )
| ~ ( s_t @ SY2242 @ SY2243 @ SY2244 )
| ~ ( s_e @ SY2243 @ SV201 @ SY2243 @ SY2242 )
| ~ ( s_e @ SY2243 @ SY2258 @ SY2243 @ SY2244 )
| ~ ( s_m @ SV201 @ SV400 @ SY2242 )
| ~ ( s_m @ SY2258 @ SY2257 @ SY2244 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1042]) ).
thf(1255,plain,
! [SV202: $i] :
( ( ~ ! [SY1682: $i,SY1683: $i] :
( ~ ( sameside @ SV202 @ SY1682 @ SY1683 )
| ( s_col @ SV202 @ SY1682 @ SY1683 ) )
| ~ ! [SY1684: $i,SY1685: $i] :
( ~ ( sameside @ SV202 @ SY1684 @ SY1685 )
| ~ ( s_t @ SV202 @ SY1684 @ SY1685 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1256,plain,
! [SV401: $i,SV203: $i] :
( ( ! [SY2259: $i] :
~ ( ~ ! [SY2260: $i] :
( ~ ( perp @ SV203 @ SV401 @ SY2259 @ SY2260 )
| ( perpAt @ SV203 @ SV401 @ ( il @ SV203 @ SV401 @ SY2259 @ SY2260 ) @ SY2259 @ SY2260 ) )
| ~ ! [SY2261: $i] :
( ( perp @ SV203 @ SV401 @ SY2259 @ SY2261 )
| ! [SY2262: $i] :
~ ( perpAt @ SV203 @ SV401 @ SY2262 @ SY2259 @ SY2261 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1257,plain,
! [SV204: $i,SV402: $i] :
( ( ~ ( ~ ! [SY2263: $i,SY2264: $i] :
( ( sameside @ ( insert @ SY2263 @ SY2264 @ SV402 @ SV204 ) @ SV402 @ SV204 )
| ( SV204 = SV402 )
| ( SY2263 = SY2264 ) )
| ~ ! [SY2265: $i,SY2266: $i] :
( ( s_e @ SV402 @ ( insert @ SY2265 @ SY2266 @ SV402 @ SV204 ) @ SY2265 @ SY2266 )
| ( SV204 = SV402 )
| ( SY2265 = SY2266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1258,plain,
! [SV205: $i] :
( ( ~ ! [SY1696: $i,SY1697: $i] :
( ( s_col @ SV205 @ SY1696 @ SY1697 )
| ( s_col @ SV205 @ SY1696 @ ( foot @ SV205 @ SY1696 @ SY1697 ) ) )
| ~ ! [SY1698: $i,SY1699: $i] :
( ( perp @ SV205 @ SY1698 @ SY1699 @ ( foot @ SV205 @ SY1698 @ SY1699 ) )
| ( s_col @ SV205 @ SY1698 @ SY1699 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1259,plain,
! [SV403: $i,SV206: $i] :
( ( ! [SY2267: $i,SY2268: $i,SY2269: $i,SY2270: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2271: $i,SY2272: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SY2267 @ SY2268 @ SY2269 @ SY2270 @ SY2271 @ SY2272 )
| ( s_t @ SV206 @ SV403 @ SY2267 ) )
| ~ ! [SY2273: $i] :
( ! [SY2274: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SY2267 @ SY2268 @ SY2269 @ SY2270 @ SY2273 @ SY2274 )
| ( s_t @ SY2269 @ SY2270 @ SY2273 ) ) )
| ~ ! [SY2275: $i] :
( ! [SY2276: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SY2267 @ SY2268 @ SY2269 @ SY2270 @ SY2275 @ SY2276 )
| ( s_e @ SV206 @ SY2267 @ SY2269 @ SY2275 ) ) )
| ~ ! [SY2277: $i] :
( ! [SY2278: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SY2267 @ SY2268 @ SY2269 @ SY2270 @ SY2277 @ SY2278 )
| ( s_e @ SV403 @ SY2267 @ SY2270 @ SY2277 ) ) )
| ~ ! [SY2279: $i,SY2280: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SY2267 @ SY2268 @ SY2269 @ SY2270 @ SY2279 @ SY2280 )
| ( s_e @ SV206 @ SY2268 @ SY2269 @ SY2280 ) ) )
| ~ ! [SY2281: $i,SY2282: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SY2267 @ SY2268 @ SY2269 @ SY2270 @ SY2281 @ SY2282 )
| ( s_e @ SY2267 @ SY2268 @ SY2281 @ SY2282 ) ) )
| ~ ! [SY2283: $i,SY2284: $i] :
( ( s_ifs @ SV206 @ SV403 @ SY2267 @ SY2268 @ SY2269 @ SY2270 @ SY2283 @ SY2284 )
| ~ ( s_t @ SV206 @ SV403 @ SY2267 )
| ~ ( s_t @ SY2269 @ SY2270 @ SY2283 )
| ~ ( s_e @ SV206 @ SY2267 @ SY2269 @ SY2283 )
| ~ ( s_e @ SV403 @ SY2267 @ SY2270 @ SY2283 )
| ~ ( s_e @ SV206 @ SY2268 @ SY2269 @ SY2284 )
| ~ ( s_e @ SY2267 @ SY2268 @ SY2283 @ SY2284 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1260,plain,
! [SV404: $i,SV207: $i] :
( ( ! [SY2285: $i,SY2286: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY2287: $i] :
( ! [SY2288: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SY2285 @ SY2286 @ SY2287 @ SY2288 )
| ( s_e @ SV207 @ SV404 @ SY2286 @ SY2287 ) )
| ~ ! [SY2289: $i,SY2290: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SY2285 @ SY2286 @ SY2289 @ SY2290 )
| ( s_e @ SV207 @ SY2285 @ SY2286 @ SY2290 ) ) )
| ~ ! [SY2291: $i,SY2292: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SY2285 @ SY2286 @ SY2291 @ SY2292 )
| ( s_e @ SV404 @ SY2285 @ SY2291 @ SY2292 ) ) )
| ~ ! [SY2293: $i,SY2294: $i] :
( ( s_e3 @ SV207 @ SV404 @ SY2285 @ SY2286 @ SY2293 @ SY2294 )
| ~ ( s_e @ SV207 @ SV404 @ SY2286 @ SY2293 )
| ~ ( s_e @ SV207 @ SY2285 @ SY2286 @ SY2294 )
| ~ ( s_e @ SV404 @ SY2285 @ SY2293 @ SY2294 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1261,plain,
! [SV209: $i,SV2: $i,SV405: $i] :
( ( ! [SY2295: $i,SY2296: $i,SY2297: $i] :
( ( s_e @ SV405 @ SY2295 @ SY2296 @ SY2297 )
| ~ ( s_e @ SV2 @ SV209 @ SV405 @ SY2295 )
| ~ ( s_e @ SV2 @ SV209 @ SY2296 @ SY2297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1262,plain,
! [SV210: $i,SV3: $i] :
( ( ( ! [SY1734: $i] :
~ ( s_e @ SV3 @ SV210 @ SY1734 @ SY1734 ) )
= $true )
| ( ( SV3 = SV210 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1263,plain,
! [SV406: $i,SV211: $i,SV4: $i] :
( ( ! [SY2298: $i,SY2299: $i,SY2300: $i,SY2301: $i,SY2302: $i] :
( ( s_e @ SY2299 @ SY2301 @ SY2300 @ SY2302 )
| ( SV4 = SV211 )
| ~ ( s_e @ SV4 @ SV211 @ SV406 @ SY2298 )
| ~ ( s_e @ SV211 @ SY2299 @ SY2298 @ SY2300 )
| ~ ( s_e @ SV4 @ SY2301 @ SV406 @ SY2302 )
| ~ ( s_e @ SV211 @ SY2301 @ SY2298 @ SY2302 )
| ~ ( s_t @ SV4 @ SV211 @ SY2299 )
| ~ ( s_t @ SV406 @ SY2298 @ SY2300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1264,plain,
! [SV212: $i,SV5: $i] :
( ( ( ~ ( s_t @ SV5 @ SV212 @ SV5 ) )
= $true )
| ( ( SV5 = SV212 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1265,plain,
! [SV407: $i,SV214: $i,SV7: $i] :
( ( ! [SY2303: $i] :
( ~ ( s_e @ SV7 @ SV214 @ SV407 @ SY2303 )
| ( s_e @ SV407 @ SY2303 @ SV7 @ SV214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1266,plain,
! [SV408: $i,SV215: $i,SV8: $i] :
( ( ! [SY2304: $i,SY2305: $i,SY2306: $i] :
( ( s_e @ SV8 @ SV215 @ SY2305 @ SY2306 )
| ~ ( s_e @ SV8 @ SV215 @ SV408 @ SY2304 )
| ~ ( s_e @ SV408 @ SY2304 @ SY2305 @ SY2306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1056]) ).
thf(1267,plain,
! [SV409: $i,SV216: $i,SV9: $i] :
( ( ! [SY2307: $i] :
( ~ ( s_e @ SV9 @ SV216 @ SV409 @ SY2307 )
| ( s_e @ SV216 @ SV9 @ SV409 @ SY2307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1268,plain,
! [SV410: $i,SV217: $i,SV10: $i] :
( ( ! [SY2308: $i] :
( ~ ( s_e @ SV10 @ SV217 @ SV410 @ SY2308 )
| ( s_e @ SV10 @ SV217 @ SY2308 @ SV410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1058]) ).
thf(1269,plain,
! [SV219: $i,SV411: $i,SV12: $i] :
( ( ! [SY2309: $i,SY2310: $i,SY2311: $i] :
( ( s_e @ SV12 @ SV411 @ SY2309 @ SY2311 )
| ~ ( s_t @ SV12 @ SV219 @ SV411 )
| ~ ( s_t @ SY2309 @ SY2310 @ SY2311 )
| ~ ( s_e @ SV12 @ SV219 @ SY2309 @ SY2310 )
| ~ ( s_e @ SV219 @ SV411 @ SY2310 @ SY2311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1060]) ).
thf(1270,plain,
! [SV220: $i,SV13: $i,SV412: $i] :
( ( ! [SY2312: $i,SY2313: $i] :
( ( SV412
= ( ext @ SV13 @ SV220 @ SY2312 @ SY2313 ) )
| ( SV13 = SV220 )
| ~ ( s_t @ SV13 @ SV220 @ SV412 )
| ~ ( s_e @ SV220 @ SV412 @ SY2312 @ SY2313 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1271,plain,
! [SV221: $i,SV14: $i] :
( ( ( ! [SY1758: $i] :
~ ( s_e @ SV14 @ SV221 @ SY1758 @ SY1758 ) )
= $true )
| ( ( SV14 = SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1272,plain,
! [SV413: $i,SV222: $i,SV15: $i] :
( ( ! [SY2314: $i] :
( ~ ( s_e @ SV15 @ SV222 @ SV413 @ SY2314 )
| ( s_e @ SV222 @ SV15 @ SY2314 @ SV413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1273,plain,
! [SV223: $i,SV414: $i,SV16: $i] :
( ( ! [SY2315: $i,SY2316: $i,SY2317: $i] :
( ( s_e @ SV16 @ SV414 @ SY2315 @ SY2317 )
| ~ ( s_t @ SV16 @ SV223 @ SV414 )
| ~ ( s_t @ SY2315 @ SY2316 @ SY2317 )
| ~ ( s_e @ SV16 @ SV223 @ SY2316 @ SY2317 )
| ~ ( s_e @ SV223 @ SV414 @ SY2315 @ SY2316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1064]) ).
thf(1274,plain,
! [SV415: $i,SV225: $i,SV18: $i] :
( ( ~ ( s_t @ SV18 @ SV225 @ SV415 )
| ( s_t @ SV415 @ SV225 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1066]) ).
thf(1275,plain,
! [SV227: $i,SV20: $i] :
( ( ( SV20 = SV227 )
= $true )
| ( ( ! [SY1766: $i] :
( ~ ( s_t @ SV20 @ SV227 @ SY1766 )
| ~ ( s_t @ SV227 @ SV20 @ SY1766 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1276,plain,
! [SV416: $i,SV228: $i,SV21: $i] :
( ( ! [SY2318: $i] :
( ( s_t @ SV21 @ SV228 @ SY2318 )
| ~ ( s_t @ SV21 @ SV228 @ SV416 )
| ~ ( s_t @ SV228 @ SY2318 @ SV416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1277,plain,
! [SV22: $i,SV417: $i,SV229: $i] :
( ( ! [SY2319: $i] :
( ( s_t @ SV229 @ SV417 @ SY2319 )
| ~ ( s_t @ SV22 @ SV229 @ SV417 )
| ~ ( s_t @ SV22 @ SV417 @ SY2319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1070]) ).
thf(1278,plain,
! [SV230: $i,SV418: $i,SV23: $i] :
( ( ! [SY2320: $i] :
( ( s_t @ SV23 @ SV418 @ SY2320 )
| ( SV230 = SV418 )
| ~ ( s_t @ SV23 @ SV230 @ SV418 )
| ~ ( s_t @ SV230 @ SV418 @ SY2320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1071]) ).
thf(1279,plain,
! [SV231: $i,SV419: $i,SV24: $i] :
( ( ! [SY2321: $i] :
( ( s_t @ SV24 @ SY2321 @ SV419 )
| ~ ( s_t @ SV24 @ SV231 @ SV419 )
| ~ ( s_t @ SV231 @ SY2321 @ SV419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1280,plain,
! [SV420: $i,SV232: $i,SV25: $i] :
( ( ! [SY2322: $i] :
( ( s_t @ SV25 @ SV232 @ SY2322 )
| ~ ( s_t @ SV25 @ SV232 @ SV420 )
| ~ ( s_t @ SV25 @ SV420 @ SY2322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1281,plain,
! [SV421: $i,SV233: $i,SV26: $i] :
( ( ! [SY2323: $i] :
( ( s_t @ SV26 @ SV233 @ SY2323 )
| ( SV233 = SV421 )
| ~ ( s_t @ SV26 @ SV233 @ SV421 )
| ~ ( s_t @ SV233 @ SV421 @ SY2323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1282,plain,
! [SV235: $i,SV28: $i] :
( ( SV28
= ( ext @ SV235 @ SV28 @ alpha @ gamma ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1283,plain,
! [SV422: $i,SV236: $i,SV29: $i] :
( ( ! [SY2324: $i,SY2325: $i,SY2326: $i,SY2327: $i,SY2328: $i] :
( ~ ( s_ifs @ SV29 @ SV236 @ SV422 @ SY2324 @ SY2325 @ SY2326 @ SY2327 @ SY2328 )
| ( s_e @ SV236 @ SY2324 @ SY2326 @ SY2328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1284,plain,
! [SV423: $i,SV237: $i,SV30: $i] :
( ( ! [SY2329: $i,SY2330: $i] :
( ( s_e @ SV30 @ SV237 @ SY2329 @ SY2330 )
| ! [SY2331: $i] :
( ~ ( s_t @ SV30 @ SV237 @ SV423 )
| ~ ( s_t @ SY2329 @ SY2330 @ SY2331 )
| ~ ( s_e @ SV30 @ SV423 @ SY2329 @ SY2331 )
| ~ ( s_e @ SV237 @ SV423 @ SY2330 @ SY2331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1285,plain,
! [SV424: $i,SV238: $i,SV31: $i] :
( ( ! [SY2332: $i,SY2333: $i,SY2334: $i] :
( ( s_t @ SY2332 @ SY2333 @ SY2334 )
| ~ ( s_t @ SV31 @ SV238 @ SV424 )
| ~ ( s_e3 @ SV31 @ SV238 @ SV424 @ SY2332 @ SY2333 @ SY2334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1286,plain,
! [SV425: $i,SV239: $i,SV32: $i] :
( ( ~ ( s_col @ SV32 @ SV239 @ SV425 )
| ( s_col @ SV239 @ SV425 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1287,plain,
! [SV426: $i,SV240: $i,SV33: $i] :
( ( ~ ( s_col @ SV33 @ SV240 @ SV426 )
| ( s_col @ SV426 @ SV33 @ SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1288,plain,
! [SV427: $i,SV241: $i,SV34: $i] :
( ( ~ ( s_col @ SV34 @ SV241 @ SV427 )
| ( s_col @ SV427 @ SV241 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1289,plain,
! [SV428: $i,SV242: $i,SV35: $i] :
( ( ~ ( s_col @ SV35 @ SV242 @ SV428 )
| ( s_col @ SV242 @ SV35 @ SV428 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1290,plain,
! [SV429: $i,SV243: $i,SV36: $i] :
( ( ~ ( s_col @ SV36 @ SV243 @ SV429 )
| ( s_col @ SV36 @ SV429 @ SV243 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1291,plain,
! [SV430: $i,SV246: $i,SV39: $i] :
( ( ! [SY2335: $i,SY2336: $i,SY2337: $i] :
( ( s_col @ SY2335 @ SY2336 @ SY2337 )
| ~ ( s_col @ SV39 @ SV246 @ SV430 )
| ~ ( s_e3 @ SV39 @ SV246 @ SV430 @ SY2335 @ SY2336 @ SY2337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1292,plain,
! [SV431: $i,SV247: $i,SV40: $i] :
( ( ! [SY2338: $i,SY2339: $i] :
( ( s_e3 @ SV40 @ SV247 @ SV431 @ SY2338 @ SY2339 @ ( insert5 @ SV40 @ SV247 @ SV431 @ SY2338 @ SY2339 ) )
| ~ ( s_col @ SV40 @ SV247 @ SV431 )
| ~ ( s_e @ SV40 @ SV247 @ SY2338 @ SY2339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1293,plain,
! [SV248: $i,SV41: $i,SV432: $i] :
( ( ! [SY2340: $i,SY2341: $i,SY2342: $i,SY2343: $i,SY2344: $i] :
( ( s_e @ SV432 @ SY2340 @ SY2343 @ SY2344 )
| ~ ( s_fs @ SV41 @ SV248 @ SV432 @ SY2340 @ SY2341 @ SY2342 @ SY2343 @ SY2344 )
| ( SV41 = SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1089]) ).
thf(1294,plain,
! [SV249: $i,SV42: $i,SV433: $i] :
( ( ! [SY2345: $i,SY2346: $i] :
( ( s_e @ SV433 @ SY2345 @ SV433 @ SY2346 )
| ( SV42 = SV249 )
| ~ ( s_col @ SV42 @ SV249 @ SV433 )
| ~ ( s_e @ SV42 @ SY2345 @ SV42 @ SY2346 )
| ~ ( s_e @ SV249 @ SY2345 @ SV249 @ SY2346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1295,plain,
! [SV250: $i,SV43: $i,SV434: $i] :
( ( ! [SY2347: $i] :
( ( SV434 = SY2347 )
| ( SV43 = SV250 )
| ~ ( s_col @ SV43 @ SV250 @ SV434 )
| ~ ( s_e @ SV43 @ SV434 @ SV43 @ SY2347 )
| ~ ( s_e @ SV250 @ SV434 @ SV250 @ SY2347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1296,plain,
! [SV435: $i,SV44: $i,SV251: $i] :
( ( ! [SY2348: $i] :
( ( SV251 = SY2348 )
| ~ ( s_t @ SV44 @ SV251 @ SV435 )
| ~ ( s_e @ SV44 @ SV251 @ SV44 @ SY2348 )
| ~ ( s_e @ SV435 @ SV251 @ SV435 @ SY2348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1092]) ).
thf(1297,plain,
! [SV252: $i,SV436: $i,SV45: $i] :
( ( ! [SY2349: $i] :
( ( s_t @ SV45 @ SY2349 @ SV436 )
| ( s_t @ SV45 @ SV436 @ SY2349 )
| ( SV45 = SV252 )
| ~ ( s_t @ SV45 @ SV252 @ SV436 )
| ~ ( s_t @ SV45 @ SV252 @ SY2349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1298,plain,
! [SV46: $i,SV437: $i,SV253: $i] :
( ( ! [SY2350: $i] :
( ( s_t @ SV253 @ SY2350 @ SV437 )
| ( s_t @ SV253 @ SV437 @ SY2350 )
| ( SV46 = SV253 )
| ~ ( s_t @ SV46 @ SV253 @ SV437 )
| ~ ( s_t @ SV46 @ SV253 @ SY2350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1299,plain,
! [SV438: $i,SV254: $i,SV47: $i] :
( ( ! [SY2351: $i] :
( ( s_t @ SV47 @ SY2351 @ SV254 )
| ( s_t @ SV47 @ SV254 @ SY2351 )
| ~ ( s_t @ SV47 @ SV254 @ SV438 )
| ~ ( s_t @ SV47 @ SY2351 @ SV438 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1300,plain,
! [SV439: $i,SV255: $i,SV48: $i] :
( ( ! [SY2352: $i,SY2353: $i] :
( ( le @ SV48 @ SV255 @ SV439 @ SY2352 )
| ~ ( s_t @ SV48 @ SV255 @ SY2353 )
| ~ ( s_e @ SV48 @ SY2353 @ SV439 @ SY2352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1301,plain,
! [SV440: $i,SV256: $i,SV49: $i] :
( ( ! [SY2354: $i,SY2355: $i,SY2356: $i,SY2357: $i,SY2358: $i] :
( ( le @ SY2355 @ SY2356 @ SY2357 @ SY2358 )
| ~ ( le @ SV49 @ SV256 @ SV440 @ SY2354 )
| ~ ( s_e @ SV49 @ SV256 @ SY2355 @ SY2356 )
| ~ ( s_e @ SV440 @ SY2354 @ SY2357 @ SY2358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1302,plain,
! [SV441: $i,SV258: $i,SV51: $i] :
( ( ! [SY2359: $i,SY2360: $i,SY2361: $i] :
( ( le @ SV51 @ SV258 @ SY2360 @ SY2361 )
| ~ ( le @ SV51 @ SV258 @ SV441 @ SY2359 )
| ~ ( le @ SV441 @ SY2359 @ SY2360 @ SY2361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1303,plain,
! [SV442: $i,SV259: $i,SV52: $i] :
( ( ! [SY2362: $i] :
( ( s_e @ SV52 @ SV259 @ SV442 @ SY2362 )
| ~ ( le @ SV52 @ SV259 @ SV442 @ SY2362 )
| ~ ( le @ SV442 @ SY2362 @ SV52 @ SV259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1304,plain,
! [SV443: $i,SV260: $i,SV53: $i] :
( ( ! [SY2363: $i] :
( ( le @ SV53 @ SV260 @ SV443 @ SY2363 )
| ( le @ SV443 @ SY2363 @ SV53 @ SV260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1305,plain,
! [SV444: $i,SV261: $i,SV54: $i] :
( ( le @ SV54 @ SV54 @ SV261 @ SV444 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1102]) ).
thf(1306,plain,
! [SV445: $i,SV262: $i,SV55: $i] :
( ( ( le @ SV55 @ SV262 @ SV55 @ SV445 )
| ~ ( s_col @ SV55 @ SV262 @ SV445 )
| ~ ( s_t @ SV55 @ SV262 @ SV445 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1307,plain,
! [SV56: $i,SV446: $i,SV263: $i] :
( ( ( le @ SV263 @ SV446 @ SV56 @ SV446 )
| ~ ( s_col @ SV56 @ SV263 @ SV446 )
| ~ ( s_t @ SV56 @ SV263 @ SV446 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1308,plain,
! [SV57: $i,SV264: $i,SV447: $i] :
( ( ( SV447 = SV264 )
| ~ ( s_t @ SV57 @ SV264 @ SV447 )
| ~ ( s_e @ SV57 @ SV447 @ SV57 @ SV264 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1309,plain,
! [SV448: $i,SV265: $i,SV58: $i] :
( ( ~ ( s_col @ SV58 @ SV265 @ SV448 )
| ( s_t @ SV58 @ SV265 @ SV448 )
| ~ ( le @ SV58 @ SV265 @ SV58 @ SV448 )
| ~ ( le @ SV265 @ SV448 @ SV58 @ SV448 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1310,plain,
! [SV449: $i,SV266: $i,SV59: $i] :
( ( ( sameside @ SV59 @ SV266 @ SV449 )
| ! [SY2364: $i] :
( ( SY2364 = SV266 )
| ( SV59 = SV266 )
| ( SV449 = SV266 )
| ~ ( s_t @ SV59 @ SV266 @ SY2364 )
| ~ ( s_t @ SV449 @ SV266 @ SY2364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1311,plain,
! [SV60: $i,SV267: $i,SV450: $i] :
( ( ! [SY2365: $i] :
( ( s_t @ SV450 @ SV267 @ SY2365 )
| ( SY2365 = SV267 )
| ( SV60 = SV267 )
| ( SV450 = SV267 )
| ~ ( s_t @ SV60 @ SV267 @ SY2365 ) )
| ~ ( sameside @ SV60 @ SV267 @ SV450 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1312,plain,
! [SV61: $i,SV451: $i,SV268: $i] :
( ( ! [SY2366: $i] :
( ( SY2366 = SV268 )
| ( SV451 = SV268 )
| ( SV61 = SV268 )
| ( sameside @ SV61 @ SV268 @ SV451 )
| ~ ( s_t @ SV61 @ SV268 @ SY2366 )
| ~ ( s_t @ SV451 @ SV268 @ SY2366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1313,plain,
! [SV452: $i,SV269: $i,SV62: $i] :
( ( ( s_t @ SV62 @ SV269 @ SV452 )
| ( sameside @ SV62 @ SV269 @ SV452 )
| ~ ( s_col @ SV62 @ SV269 @ SV452 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1314,plain,
! [SV270: $i,SV63: $i] :
( ( ( SV63 = SV270 )
= $true )
| ( ( sameside @ SV63 @ SV270 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1111]) ).
thf(1315,plain,
! [SV453: $i,SV271: $i,SV64: $i] :
( ( ~ ( sameside @ SV64 @ SV271 @ SV453 )
| ( sameside @ SV453 @ SV271 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1316,plain,
! [SV454: $i,SV272: $i,SV65: $i] :
( ( ! [SY2367: $i] :
( ( sameside @ SV65 @ SV272 @ SY2367 )
| ~ ( sameside @ SV65 @ SV272 @ SV454 )
| ~ ( sameside @ SV454 @ SV272 @ SY2367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1317,plain,
! [SV455: $i,SV273: $i,SV66: $i] :
( ( ! [SY2368: $i,SY2369: $i,SY2370: $i] :
( ( SY2369 = SY2370 )
| ( SV66 = SV273 )
| ( SV455 = SY2368 )
| ~ ( sameside @ SY2369 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SY2369 @ SV455 @ SY2368 )
| ~ ( sameside @ SY2370 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SY2370 @ SV455 @ SY2368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1318,plain,
! [SV456: $i,SV67: $i,SV274: $i] :
( ( ( s_t @ SV274 @ SV67 @ SV456 )
| ~ ( sameside @ SV67 @ SV274 @ SV456 )
| ~ ( le @ SV274 @ SV67 @ SV274 @ SV456 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1115]) ).
thf(1319,plain,
! [SV457: $i,SV275: $i,SV68: $i] :
( ( ~ ( sameside @ SV68 @ SV275 @ SV457 )
| ( le @ SV275 @ SV68 @ SV275 @ SV457 )
| ~ ( s_t @ SV275 @ SV68 @ SV457 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1116]) ).
thf(1320,plain,
! [SV276: $i,SV458: $i,SV69: $i] :
( ( ! [SY2371: $i] :
( ( sameside @ SY2371 @ SV69 @ SV458 )
| ( sameside @ SY2371 @ SV69 @ SV276 )
| ( SY2371 = SV69 )
| ( SV69 = SV276 )
| ( SV69 = SV458 )
| ~ ( s_t @ SV276 @ SV69 @ SV458 )
| ~ ( s_col @ SY2371 @ SV69 @ SV276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1117]) ).
thf(1321,plain,
! [SV459: $i,SV277: $i,SV70: $i] :
( ( ! [SY2372: $i] :
( ( s_col @ SY2372 @ SV70 @ SV277 )
| ( SV70 = SV277 )
| ( SV70 = SV459 )
| ~ ( s_t @ SV277 @ SV70 @ SV459 )
| ~ ( sameside @ SY2372 @ SV70 @ SV277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1322,plain,
! [SV460: $i,SV278: $i,SV71: $i] :
( ( ! [SY2373: $i] :
( ( s_col @ SY2373 @ SV71 @ SV278 )
| ( SV71 = SV278 )
| ( SV71 = SV460 )
| ~ ( s_t @ SV278 @ SV71 @ SV460 )
| ~ ( sameside @ SY2373 @ SV71 @ SV460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1323,plain,
! [SV461: $i,SV279: $i,SV72: $i] :
( ( ! [SY2374: $i] :
( ( s_col @ SY2374 @ SV72 @ SV279 )
| ( SY2374 != SV72 )
| ( SV72 = SV279 )
| ( SV72 = SV461 )
| ~ ( s_t @ SV279 @ SV72 @ SV461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1324,plain,
! [SV73: $i,SV280: $i,SV462: $i] :
( ( ! [SY2375: $i] :
( ( s_t @ SV462 @ SY2375 @ SV280 )
| ( s_t @ SY2375 @ SV462 @ SV280 )
| ( SV73 = SV280 )
| ~ ( s_t @ SV462 @ SV73 @ SV280 )
| ~ ( s_t @ SY2375 @ SV73 @ SV280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1325,plain,
! [SV281: $i,SV463: $i,SV74: $i] :
( ( ! [SY2376: $i] :
( ( s_col @ SV74 @ SV463 @ SY2376 )
| ( SV74 = SV281 )
| ( SV463 = SV74 )
| ~ ( s_col @ SV74 @ SV281 @ SV463 )
| ~ ( s_col @ SV74 @ SV281 @ SY2376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1326,plain,
! [SV282: $i,SV75: $i] :
( ( ( SV75 = SV282 )
= $true )
| ( ( s_col @ SV75 @ SV282 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1327,plain,
! [SV464: $i,SV76: $i,SV283: $i] :
( ( ( s_col @ SV283 @ SV76 @ SV464 )
| ( SV76 = SV283 )
| ~ ( s_col @ SV76 @ SV283 @ SV464 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1328,plain,
! [SV465: $i,SV284: $i,SV77: $i] :
( ( ! [SY2377: $i,SY2378: $i] :
( ( s_col @ SV77 @ SV284 @ SY2378 )
| ( SV77 = SV284 )
| ( SV465 = SY2377 )
| ~ ( s_col @ SV465 @ SY2377 @ SV77 )
| ~ ( s_col @ SV465 @ SY2377 @ SV284 )
| ~ ( s_col @ SV465 @ SY2377 @ SY2378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1329,plain,
! [SV285: $i,SV78: $i,SV466: $i] :
( ( ! [SY2379: $i,SY2380: $i,SY2381: $i,SY2382: $i] :
( ( s_col @ SV466 @ SY2379 @ SY2382 )
| ( SY2380 = SY2381 )
| ( SV78 = SV285 )
| ( SV466 = SY2379 )
| ~ ( s_col @ SV78 @ SV285 @ SY2380 )
| ~ ( s_col @ SV466 @ SY2379 @ SY2380 )
| ~ ( s_col @ SV78 @ SV285 @ SY2381 )
| ~ ( s_col @ SV466 @ SY2379 @ SY2381 )
| ~ ( s_col @ SV78 @ SV285 @ SY2382 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1330,plain,
! [SV286: $i,SV79: $i] :
( ( ( SV79 = SV286 )
= $true )
| ( ( ~ ( s_col @ SV79 @ SV286 @ ( pointOffLine @ SV79 @ SV286 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1331,plain,
! [SV287: $i,SV467: $i,SV80: $i] :
( ( ! [SY2383: $i,SY2384: $i,SY2385: $i] :
( ( s_e @ SV80 @ SV467 @ SY2383 @ SY2385 )
| ~ ( sameside @ SV80 @ SV287 @ SV467 )
| ~ ( sameside @ SY2383 @ SY2384 @ SY2385 )
| ~ ( s_e @ SV287 @ SV80 @ SY2384 @ SY2383 )
| ~ ( s_e @ SV287 @ SV467 @ SY2384 @ SY2385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1332,plain,
! [SV468: $i,SV288: $i,SV81: $i] :
( ( ~ ( s_m @ SV81 @ SV288 @ SV468 )
| ( s_m @ SV468 @ SV288 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1333,plain,
! [SV289: $i,SV82: $i] :
( ( ( ~ ( s_m @ SV82 @ SV289 @ SV82 ) )
= $true )
| ( ( SV289 = SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1334,plain,
! [SV83: $i,SV290: $i] :
( ( ( SV290 != SV83 )
= $true )
| ( ( s_m @ SV83 @ SV290 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1131]) ).
thf(1335,plain,
! [SV292: $i,SV85: $i,SV469: $i] :
( ( ! [SY2386: $i] :
( ( SV469 = SY2386 )
| ~ ( s_m @ SV85 @ SV292 @ SV469 )
| ~ ( s_m @ SV85 @ SV292 @ SY2386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1336,plain,
! [SV470: $i,SV293: $i,SV86: $i] :
( ( ~ ( s_m @ SV86 @ SV293 @ SV470 )
| ( SV470
= ( s @ SV293 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1337,plain,
! [SV471: $i,SV88: $i,SV295: $i] :
( ( ! [SY2387: $i] :
( ( SV295 = SY2387 )
| ( ( s @ SV88 @ SV295 )
!= SV471 )
| ( ( s @ SV88 @ SY2387 )
!= SV471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1338,plain,
! [SV472: $i,SV296: $i,SV89: $i] :
( ( ( ( s @ SV89 @ SV296 )
!= ( s @ SV89 @ SV472 ) )
| ( SV296 = SV472 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1339,plain,
! [SV297: $i,SV90: $i] :
( ( ( ( s @ SV90 @ SV297 )
!= SV297 )
= $true )
| ( ( SV297 = SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1138]) ).
thf(1340,plain,
! [SV91: $i,SV298: $i] :
( ( ( SV298 != SV91 )
= $true )
| ( ( ( s @ SV91 @ SV298 )
= SV298 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1341,plain,
! [SV473: $i,SV299: $i,SV92: $i] :
( ( s_e @ SV92 @ SV299 @ ( s @ SV473 @ SV92 ) @ ( s @ SV473 @ SV299 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1342,plain,
! [SV474: $i,SV300: $i,SV93: $i] :
( ( ~ ( s_t @ SV93 @ SV300 @ SV474 )
| ! [SY2388: $i] : ( s_t @ ( s @ SY2388 @ SV93 ) @ ( s @ SY2388 @ SV300 ) @ ( s @ SY2388 @ SV474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1343,plain,
! [SV475: $i,SV301: $i,SV94: $i] :
( ( ( s_t @ SV94 @ SV301 @ SV475 )
| ! [SY2389: $i] :
~ ( s_t @ ( s @ SY2389 @ SV94 ) @ ( s @ SY2389 @ SV301 ) @ ( s @ SY2389 @ SV475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1344,plain,
! [SV476: $i,SV302: $i,SV95: $i] :
( ( ! [SY2390: $i] :
( ~ ( s_e @ SV95 @ SV302 @ SV476 @ SY2390 )
| ! [SY2391: $i] : ( s_e @ ( s @ SY2391 @ SV95 ) @ ( s @ SY2391 @ SV302 ) @ ( s @ SY2391 @ SV476 ) @ ( s @ SY2391 @ SY2390 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1345,plain,
! [SV477: $i,SV303: $i,SV96: $i] :
( ( ! [SY2392: $i] :
( ( s_e @ SV96 @ SV303 @ SV477 @ SY2392 )
| ! [SY2393: $i] :
~ ( s_e @ ( s @ SY2393 @ SV96 ) @ ( s @ SY2393 @ SV303 ) @ ( s @ SY2393 @ SV477 ) @ ( s @ SY2393 @ SY2392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1346,plain,
! [SV478: $i,SV97: $i,SV304: $i] :
( ( ! [SY2394: $i] :
( ( SV304 = SY2394 )
| ~ ( s_m @ SV97 @ SV304 @ SV478 )
| ~ ( s_m @ SV97 @ SY2394 @ SV478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1347,plain,
! [SV479: $i,SV305: $i,SV98: $i] :
( ( ( ( s @ SV98 @ SV305 )
!= ( s @ SV479 @ SV305 ) )
| ( SV98 = SV479 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1348,plain,
! [SV306: $i,SV99: $i] :
( ( ( ! [SY1908: $i] :
( ( s @ SV99 @ ( s @ SV306 @ SY1908 ) )
!= ( s @ SV306 @ ( s @ SV99 @ SY1908 ) ) ) )
= $true )
| ( ( SV99 = SV306 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1147]) ).
thf(1349,plain,
! [SV480: $i,SV307: $i,SV100: $i] :
( ( ( s_m @ SV100 @ SV307 @ SV480 )
| ( SV100 = SV480 )
| ~ ( s_col @ SV100 @ SV307 @ SV480 )
| ~ ( s_e @ SV307 @ SV100 @ SV307 @ SV480 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1350,plain,
! [SV308: $i,SV481: $i,SV101: $i] :
( ( ! [SY2395: $i,SY2396: $i] :
( ( s_m @ SV101 @ SY2396 @ SV481 )
| ( SV308 = SY2395 )
| ( s_col @ SV101 @ SV308 @ SV481 )
| ~ ( s_e @ SV101 @ SV308 @ SV481 @ SY2395 )
| ~ ( s_e @ SV308 @ SV481 @ SY2395 @ SV101 )
| ~ ( s_col @ SV101 @ SY2396 @ SV481 )
| ~ ( s_col @ SV308 @ SY2396 @ SY2395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1351,plain,
! [SV482: $i,SV309: $i,SV102: $i] :
( ( ! [SY2397: $i,SY2398: $i,SY2399: $i,SY2400: $i] :
( ~ ( s_kf @ SV102 @ SV309 @ SV482 @ SY2397 @ SY2398 @ SY2399 @ SY2400 )
| ( s_t @ SV309 @ SY2397 @ SY2399 )
| ~ ( le @ SY2397 @ SV102 @ SY2397 @ SY2400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1352,plain,
! [SV483: $i,SV310: $i,SV103: $i] :
( ( ! [SY2401: $i,SY2402: $i,SY2403: $i] :
( ! [SY2404: $i] :
~ ( s_kf @ SV103 @ SV310 @ SV483 @ SY2401 @ SY2402 @ SY2403 @ SY2404 )
| ( s_t @ SV310 @ SY2401 @ SY2403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1353,plain,
! [SV484: $i,SV104: $i,SV311: $i] :
( ( ! [SY2405: $i,SY2406: $i,SY2407: $i,SY2408: $i] :
( ( s_t @ SY2407 @ SV311 @ SY2408 )
| ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SY2405 @ SV311 @ SY2406 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SY2405 )
| ~ ( s_e @ SV311 @ SV484 @ SV311 @ SY2406 )
| ~ ( s_m @ SV104 @ SY2407 @ SY2405 )
| ~ ( s_m @ SV484 @ SY2408 @ SY2406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1354,plain,
! [SV485: $i,SV312: $i,SV105: $i] :
( ( ~ ( s_e @ SV105 @ SV312 @ SV105 @ SV485 )
| ( s_m @ SV312 @ ( isomidpoint @ SV312 @ SV485 @ SV105 ) @ SV485 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1355,plain,
! [SV486: $i,SV313: $i,SV106: $i] :
( ( ~ ( s_r @ SV106 @ SV313 @ SV486 )
| ( s_r @ SV486 @ SV313 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1356,plain,
! [SV107: $i,SV487: $i,SV314: $i] :
( ( ! [SY2409: $i] :
( ( s_r @ SY2409 @ SV314 @ SV487 )
| ~ ( s_r @ SV107 @ SV314 @ SV487 )
| ( SV107 = SV314 )
| ~ ( s_col @ SV314 @ SV107 @ SY2409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1357,plain,
! [SV488: $i,SV315: $i,SV108: $i] :
( ( ~ ( s_r @ SV108 @ SV315 @ SV488 )
| ( s_r @ SV108 @ SV315 @ ( s @ SV315 @ SV488 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1358,plain,
! [SV110: $i,SV489: $i,SV317: $i] :
( ( ( SV317 = SV489 )
| ! [SY2410: $i] :
( ~ ( s_r @ SV110 @ SV317 @ SV489 )
| ~ ( s_r @ SY2410 @ SV317 @ SV489 )
| ~ ( s_t @ SV110 @ SV489 @ SY2410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1359,plain,
! [SV111: $i,SV490: $i,SV318: $i] :
( ( ( SV318 = SV490 )
| ~ ( s_r @ SV111 @ SV318 @ SV490 )
| ~ ( s_r @ SV111 @ SV490 @ SV318 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1159]) ).
thf(1360,plain,
! [SV319: $i,SV112: $i] :
( ( ( ~ ( s_r @ SV112 @ SV319 @ SV112 ) )
= $true )
| ( ( SV112 = SV319 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1160]) ).
thf(1361,plain,
! [SV113: $i,SV320: $i,SV491: $i] :
( ( ( SV491 = SV320 )
| ( SV113 = SV320 )
| ~ ( s_r @ SV113 @ SV320 @ SV491 )
| ~ ( s_col @ SV113 @ SV320 @ SV491 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1362,plain,
! [SV492: $i,SV321: $i,SV114: $i] :
( ( ! [SY2411: $i,SY2412: $i,SY2413: $i] :
( ( s_r @ SY2411 @ SY2412 @ SY2413 )
| ~ ( s_r @ SV114 @ SV321 @ SV492 )
| ~ ( s_e3 @ SV114 @ SV321 @ SV492 @ SY2411 @ SY2412 @ SY2413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1363,plain,
! [SV493: $i,SV322: $i,SV115: $i] :
( ( ! [SY2414: $i,SY2415: $i] :
( ~ ( perpAt @ SV115 @ SV322 @ SV493 @ SY2414 @ SY2415 )
| ( perpAt @ SY2414 @ SY2415 @ SV493 @ SV115 @ SV322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1364,plain,
! [SV494: $i,SV323: $i,SV116: $i] :
( ( ! [SY2416: $i] :
( ~ ( perp @ SV116 @ SV323 @ SV494 @ SY2416 )
| ( perp @ SV494 @ SY2416 @ SV116 @ SV323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1365,plain,
! [SV495: $i,SV324: $i,SV117: $i] :
( ( ! [SY2417: $i,SY2418: $i] :
( ( perpAt @ SV117 @ SV324 @ SY2418 @ SV495 @ SY2417 )
| ! [SY2419: $i,SY2420: $i] :
( ( SY2418 = SY2420 )
| ( SY2418 = SY2419 )
| ( SV117 = SV324 )
| ( SV495 = SY2417 )
| ~ ( s_col @ SV495 @ SY2417 @ SY2418 )
| ~ ( s_col @ SV117 @ SV324 @ SY2418 )
| ~ ( s_col @ SV117 @ SV324 @ SY2419 )
| ~ ( s_col @ SV495 @ SY2417 @ SY2420 )
| ~ ( s_r @ SY2419 @ SY2418 @ SY2420 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1366,plain,
! [SV496: $i,SV325: $i,SV118: $i] :
( ( ! [SY2421: $i] :
( ~ ( perp @ SV118 @ SV325 @ SV496 @ SY2421 )
| ~ ( s_col @ SV118 @ SV325 @ SV496 )
| ~ ( s_col @ SV118 @ SV325 @ SY2421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1367,plain,
! [SV497: $i,SV326: $i,SV119: $i] :
( ( ! [SY2422: $i,SY2423: $i] :
( ( perpAt @ SV119 @ SV326 @ SY2423 @ SV497 @ SY2422 )
| ~ ( perp @ SV119 @ SV326 @ SV497 @ SY2422 )
| ~ ( s_col @ SV119 @ SV326 @ SY2423 )
| ~ ( s_col @ SV497 @ SY2422 @ SY2423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1368,plain,
! [SV498: $i,SV327: $i,SV120: $i] :
( ( ! [SY2424: $i,SY2425: $i] :
( ~ ( perpAt @ SV120 @ SV327 @ SV498 @ SY2424 @ SY2425 )
| ( SV498
= ( il @ SV120 @ SV327 @ SY2424 @ SY2425 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1369,plain,
! [SV499: $i,SV328: $i,SV121: $i] :
( ( ! [SY2426: $i] :
( ( perpAt @ SV121 @ SV328 @ SV499 @ SY2426 @ SV499 )
| ( SV121 = SV328 )
| ~ ( s_col @ SV121 @ SV328 @ SV499 )
| ~ ( perp @ SV121 @ SV328 @ SY2426 @ SV499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1370,plain,
! [SV500: $i,SV329: $i,SV122: $i] :
( ( ! [SY2427: $i,SY2428: $i] :
( ( s_col @ SV122 @ SV329 @ SY2428 )
| ( perp @ SV122 @ SV329 @ SY2428 @ SV500 )
| ( SY2427 = SV500 )
| ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SV500 )
| ~ ( s_col @ SV122 @ SV329 @ SY2427 )
| ~ ( s_r @ SY2428 @ SV500 @ SY2427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1371,plain,
! [SV501: $i,SV330: $i,SV123: $i] :
( ( ! [SY2429: $i,SY2430: $i] :
( ( SY2429 = SY2430 )
| ( s_col @ SV123 @ SV330 @ SV501 )
| ~ ( s_col @ SV123 @ SV330 @ SY2429 )
| ~ ( s_col @ SV123 @ SV330 @ SY2430 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SY2429 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SY2430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1372,plain,
! [SV502: $i,SV124: $i,SV331: $i] :
( ( ! [SY2431: $i] :
( ( s_r @ SV331 @ SV124 @ SY2431 )
| ~ ( s_r @ SV124 @ SV331 @ SV502 )
| ~ ( s_m @ ( s @ SV124 @ SV502 ) @ SY2431 @ ( s @ SV331 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1373,plain,
! [SV503: $i,SV332: $i,SV125: $i] :
( ( ! [SY2432: $i] :
( ( SV125 != SY2432 )
| ( SV332 = SV503 )
| ~ ( s_r @ SV125 @ SV332 @ SV503 )
| ~ ( s_m @ ( s @ SV125 @ SV503 ) @ SY2432 @ ( s @ SV332 @ SV503 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1374,plain,
! [SV504: $i,SV333: $i,SV126: $i] :
( ( ! [SY2433: $i] :
( ~ ( perp @ SV126 @ SV333 @ SV504 @ SY2433 )
| ( perp @ SV333 @ SV126 @ SV504 @ SY2433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1375,plain,
! [SV505: $i,SV334: $i,SV127: $i] :
( ( ! [SY2434: $i,SY2435: $i] :
( ( s_col @ SV127 @ SV334 @ SY2435 )
| ( SV127 = SV334 )
| ( SV505 = SY2434 )
| ~ ( s_col @ SV127 @ SV334 @ SV505 )
| ~ ( s_col @ SV127 @ SV334 @ SY2434 )
| ~ ( s_col @ SV505 @ SY2434 @ SY2435 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1376,plain,
! [SV335: $i,SV506: $i,SV128: $i] :
( ( ! [SY2436: $i,SY2437: $i] :
( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SY2436 @ SY2437 ) @ SV506 )
| ~ ( le @ SV128 @ SV335 @ SV506 @ SY2436 )
| ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
| ~ ( perp @ SV128 @ SV506 @ SV506 @ SY2436 )
| ~ ( s_t @ SV335 @ SY2437 @ SY2436 )
| ~ ( s_col @ SV128 @ SV506 @ SY2437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1377,plain,
! [SV130: $i,SV507: $i,SV337: $i] :
( ( ! [SY2438: $i,SY2439: $i,SY2440: $i,SY2441: $i] :
( ( s_m @ SV337 @ SY2441 @ SV507 )
| ( SY2441
!= ( ip @ SV130 @ SY2439 @ SY2438 @ SV507 @ SY2440 ) )
| ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SY2438 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SY2439 )
| ~ ( s_t @ SV130 @ SY2439 @ SY2438 )
| ~ ( s_t @ SV507 @ SY2440 @ SY2438 )
| ~ ( s_e @ SV337 @ SV130 @ SV507 @ SY2440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1378,plain,
! [SV338: $i,SV508: $i,SV131: $i] :
( ( ! [SY2442: $i,SY2443: $i,SY2444: $i,SY2445: $i] :
( ( s_m @ SV131 @ SY2445 @ SY2444 )
| ( SY2445
!= ( ip @ SV131 @ SY2443 @ SY2442 @ SV508 @ SY2444 ) )
| ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SY2442 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SY2443 )
| ~ ( s_t @ SV131 @ SY2443 @ SY2442 )
| ~ ( s_t @ SV508 @ SY2444 @ SY2442 )
| ~ ( s_e @ SV338 @ SV131 @ SV508 @ SY2444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1379,plain,
! [SV509: $i,SV339: $i,SV132: $i] :
( ( ! [SY2446: $i,SY2447: $i,SY2448: $i] :
( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SY2448 )
| ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SY2446 @ SV509 @ SV339 @ SV509 )
| ~ ( s_col @ SV339 @ SV509 @ SY2447 )
| ~ ( s_t @ SV132 @ SY2447 @ SY2446 )
| ~ ( s_t @ SV509 @ SY2448 @ SY2446 )
| ~ ( s_e @ SV339 @ SV132 @ SV509 @ SY2448 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1380,plain,
! [SV340: $i,SV510: $i,SV133: $i] :
( ( ! [SY2449: $i] :
( ( s_col @ SV133 @ SV510 @ SY2449 )
| ( SV133 = SV340 )
| ~ ( s_col @ SV133 @ SV340 @ SV510 )
| ~ ( s_col @ SV133 @ SV340 @ SY2449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1381,plain,
! [SV511: $i,SV341: $i,SV134: $i] :
( ( ! [SY2450: $i,SY2451: $i,SY2452: $i,SY2453: $i] :
( ( perpAt @ SV134 @ SV341 @ SY2451 @ SY2452 @ SY2453 )
| ( SV134 = SV341 )
| ( SV511 = SY2450 )
| ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SY2450 )
| ~ ( perpAt @ SV511 @ SY2450 @ SY2451 @ SY2452 @ SY2453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1382,plain,
! [SV512: $i,SV342: $i,SV135: $i] :
( ( ! [SY2454: $i,SY2455: $i,SY2456: $i] :
( ( perp @ SV135 @ SV342 @ SY2455 @ SY2456 )
| ( SV135 = SV342 )
| ( SV512 = SY2454 )
| ~ ( s_col @ SV135 @ SV342 @ SV512 )
| ~ ( s_col @ SV135 @ SV342 @ SY2454 )
| ~ ( perp @ SV512 @ SY2454 @ SY2455 @ SY2456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1183]) ).
thf(1383,plain,
! [SV513: $i,SV136: $i,SV343: $i] :
( ( ! [SY2457: $i] :
( ( perp @ SV343 @ SV136 @ SV136 @ SY2457 )
| ( SV136 = SY2457 )
| ( SY2457 = SV513 )
| ( SV343 = SV513 )
| ( SV136 = SV343 )
| ( SV136 = SV513 )
| ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 )
| ~ ( s_col @ SV136 @ SV513 @ SY2457 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1384,plain,
! [SV514: $i,SV344: $i,SV137: $i] :
( ( ! [SY2458: $i] :
( ~ ( perp @ SV137 @ SV344 @ SV514 @ SY2458 )
| ( perp @ SV137 @ SV344 @ SY2458 @ SV514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1385,plain,
! [SV345: $i,SV138: $i,SV515: $i] :
( ( ! [SY2459: $i,SY2460: $i,SY2461: $i] :
( ( perp @ SV515 @ SY2459 @ SY2460 @ SY2461 )
| ( SV138 = SV345 )
| ( SV515 = SY2459 )
| ~ ( s_col @ SV138 @ SV345 @ SV515 )
| ~ ( s_col @ SV138 @ SV345 @ SY2459 )
| ~ ( perp @ SV138 @ SV345 @ SY2460 @ SY2461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1386,plain,
( ( ( xa = xb )
= $true )
| ( ( ( xp = xq )
| ~ ( s_col @ xa @ xb @ xp )
| ~ ( s_col @ xa @ xb @ xq ) )
= $true )
| ( ( perp @ xc @ xd @ xp @ xq )
= $true )
| ( ( ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1387,plain,
! [SV346: $i,SV516: $i,SV139: $i] :
( ( ! [SY2462: $i,SY2463: $i] :
( ( samesideline @ SY2462 @ SY2463 @ SV139 @ SV516 )
| ( SV139 = SV516 )
| ~ ( s_col @ SV139 @ SV346 @ SV516 )
| ( SV139 = SV346 )
| ~ ( samesideline @ SY2462 @ SY2463 @ SV139 @ SV346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1388,plain,
! [SV140: $i,SV347: $i,SV517: $i] :
( ( ! [SY2464: $i] :
( ( samesideline @ SV517 @ SY2464 @ SV347 @ SV140 )
| ( SV140 = SV347 )
| ~ ( samesideline @ SV517 @ SY2464 @ SV140 @ SV347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1389,plain,
! [SV518: $i,SV348: $i,SV141: $i] :
( ( ! [SY2465: $i] :
( ~ ( opposite @ SV141 @ SV348 @ SV518 @ SY2465 )
| ( opposite @ SY2465 @ SV348 @ SV518 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1390,plain,
! [SV142: $i,SV519: $i,SV349: $i] :
( ( ! [SY2466: $i,SY2467: $i,SY2468: $i,SY2469: $i] :
( ( opposite @ SY2469 @ SV349 @ SV519 @ SY2466 )
| ~ ( opposite @ SV142 @ SV349 @ SV519 @ SY2466 )
| ~ ( s_col @ SV349 @ SV519 @ SY2467 )
| ~ ( s_m @ SV142 @ SY2467 @ SY2466 )
| ~ ( s_col @ SV349 @ SV519 @ SY2468 )
| ~ ( sameside @ SV142 @ SY2468 @ SY2469 )
| ~ ( s_t @ SY2468 @ SY2469 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1391,plain,
! [SV143: $i,SV520: $i,SV350: $i] :
( ( ! [SY2470: $i,SY2471: $i,SY2472: $i,SY2473: $i] :
( ( opposite @ SY2473 @ SV350 @ SV520 @ SY2470 )
| ~ ( opposite @ SV143 @ SV350 @ SV520 @ SY2470 )
| ~ ( s_col @ SV350 @ SV520 @ SY2471 )
| ~ ( s_m @ SV143 @ SY2471 @ SY2470 )
| ~ ( s_col @ SV350 @ SV520 @ SY2472 )
| ~ ( sameside @ SV143 @ SY2472 @ SY2473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1392,plain,
! [SV521: $i,SV351: $i,SV144: $i] :
( ( ~ ( sameside @ SV144 @ SV351 @ SV521 )
| ! [SY2474: $i] : ( sameside @ ( s @ SY2474 @ SV144 ) @ ( s @ SY2474 @ SV351 ) @ ( s @ SY2474 @ SV521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1393,plain,
! [SV522: $i,SV352: $i,SV145: $i] :
( ( ! [SY2475: $i,SY2476: $i,SY2477: $i,SY2478: $i,SY2479: $i] :
( ( sameside @ ( s @ SY2478 @ SY2479 ) @ SY2476 @ SY2475 )
| ( SY2477 = SY2476 )
| ~ ( opposite @ SV145 @ SV352 @ SV522 @ SY2475 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SY2476 )
| ~ ( s_col @ SV352 @ SV522 @ SY2477 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SY2477 )
| ~ ( perp @ SV352 @ SV522 @ SY2475 @ SY2476 )
| ~ ( s_m @ SY2477 @ SY2478 @ SY2476 )
| ~ ( sameside @ SY2479 @ SY2477 @ SV145 )
| ~ ( le @ SY2476 @ SY2475 @ SY2477 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1394,plain,
! [SV523: $i,SV353: $i,SV146: $i] :
( ( ! [SY2480: $i,SY2481: $i,SY2482: $i,SY2483: $i,SY2484: $i] :
( ( SY2482 = SY2481 )
| ( sameside @ SY2484 @ SY2482 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SY2480 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SY2481 )
| ~ ( s_col @ SV353 @ SV523 @ SY2482 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SY2482 )
| ~ ( perp @ SV353 @ SV523 @ SY2480 @ SY2481 )
| ~ ( s_m @ SY2482 @ SY2483 @ SY2481 )
| ~ ( le @ SY2481 @ SY2480 @ SY2482 @ SV146 )
| ~ ( sameside @ ( s @ SY2483 @ SY2484 ) @ SY2481 @ SY2480 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1395,plain,
! [SV524: $i,SV354: $i,SV147: $i] :
( ( ! [SY2485: $i,SY2486: $i,SY2487: $i,SY2488: $i,SY2489: $i] :
( ( sameside @ ( s @ SY2488 @ SY2489 ) @ SY2486 @ SY2485 )
| ( SY2487 != SY2486 )
| ~ ( opposite @ SV147 @ SV354 @ SV524 @ SY2485 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SY2486 )
| ~ ( s_col @ SV354 @ SV524 @ SY2487 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SY2487 )
| ~ ( perp @ SV354 @ SV524 @ SY2485 @ SY2486 )
| ~ ( s_m @ SY2487 @ SY2488 @ SY2486 )
| ~ ( sameside @ SY2489 @ SY2487 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1396,plain,
! [SV525: $i,SV355: $i,SV148: $i] :
( ( ! [SY2490: $i,SY2491: $i,SY2492: $i,SY2493: $i,SY2494: $i] :
( ( sameside @ ( s @ SY2493 @ SY2494 ) @ SY2491 @ SY2490 )
| ~ ( opposite @ SV148 @ SV355 @ SV525 @ SY2490 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SY2491 )
| ~ ( s_col @ SV355 @ SV525 @ SY2492 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SY2492 )
| ~ ( perp @ SV355 @ SV525 @ SY2490 @ SY2491 )
| ~ ( s_m @ SY2492 @ SY2493 @ SY2491 )
| ~ ( sameside @ SY2494 @ SY2492 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1197]) ).
thf(1397,plain,
! [SV149: $i,SV526: $i,SV356: $i] :
( ( ! [SY2495: $i,SY2496: $i,SY2497: $i,SY2498: $i,SY2499: $i,SY2500: $i] :
( ( opposite @ SY2499 @ SV356 @ SV526 @ SY2500 )
| ~ ( opposite @ SV149 @ SV356 @ SV526 @ SY2495 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SY2496 )
| ~ ( s_col @ SV356 @ SV526 @ SY2497 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SY2497 )
| ~ ( perp @ SV356 @ SV526 @ SY2495 @ SY2496 )
| ~ ( s_m @ SY2497 @ SY2498 @ SY2496 )
| ~ ( sameside @ SY2499 @ SY2497 @ SV149 )
| ~ ( sameside @ SY2500 @ SY2496 @ SY2495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1198]) ).
thf(1398,plain,
! [SV150: $i,SV527: $i,SV357: $i] :
( ( ! [SY2501: $i,SY2502: $i,SY2503: $i] :
( ( opposite @ SY2503 @ SV357 @ SV527 @ SY2501 )
| ~ ( opposite @ SV150 @ SV357 @ SV527 @ SY2501 )
| ~ ( s_col @ SV357 @ SV527 @ SY2502 )
| ~ ( sameside @ SV150 @ SY2502 @ SY2503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1399,plain,
! [SV528: $i,SV358: $i,SV151: $i] :
( ( ! [SY2504: $i,SY2505: $i] :
( ~ ( opposite @ SV151 @ SV358 @ SV528 @ SY2504 )
| ( opposite @ SY2505 @ SV358 @ SV528 @ SY2504 )
| ~ ( samesideline @ SV151 @ SY2505 @ SV358 @ SV528 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1400,plain,
! [SV529: $i,SV359: $i,SV152: $i] :
( ( ! [SY2506: $i] :
( ~ ( opposite @ SV152 @ SV359 @ SV529 @ SY2506 )
| ~ ( samesideline @ SV152 @ SY2506 @ SV359 @ SV529 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1401,plain,
! [SV360: $i,SV153: $i,SV530: $i] :
( ( ! [SY2507: $i,SY2508: $i] :
( ( samesideline @ SV530 @ SY2508 @ SV153 @ SV360 )
| ( SV153 = SV360 )
| ~ ( samesideline @ SV530 @ SY2507 @ SV153 @ SV360 )
| ~ ( samesideline @ SY2507 @ SY2508 @ SV153 @ SV360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1402,plain,
! [SV531: $i,SV361: $i,SV154: $i] :
( ( ! [SY2509: $i] :
( ~ ( samesideline @ SV154 @ SV361 @ SV531 @ SY2509 )
| ( samesideline @ SV154 @ SV361 @ SY2509 @ SV531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1403,plain,
! [SV532: $i,SV362: $i,SV155: $i] :
( ( ! [SY2510: $i] :
( ( s_col @ SV155 @ SV362 @ SY2510 )
| ! [SY2511: $i] :
( ( SV155 = SV362 )
| ~ ( s_m @ SV532 @ SY2510 @ SY2511 )
| ~ ( s_col @ SV155 @ SV362 @ SV532 )
| ~ ( s_col @ SV155 @ SV362 @ SY2511 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1404,plain,
! [SV533: $i,SV363: $i,SV156: $i] :
( ( ! [SY2512: $i,SY2513: $i] :
( ( samesideline @ SY2512 @ SY2513 @ SV156 @ SV363 )
| ( SV156 = SV363 )
| ~ ( s_t @ SV363 @ SV156 @ SV533 )
| ~ ( samesideline @ SY2512 @ SY2513 @ SV533 @ SV363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1405,plain,
! [SV364: $i,SV157: $i,SV534: $i] :
( ( ! [SY2514: $i] :
( ( samesideline @ SY2514 @ SV534 @ SV157 @ SV364 )
| ( SV157 = SV364 )
| ~ ( samesideline @ SV534 @ SY2514 @ SV157 @ SV364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1406,plain,
! [SV535: $i,SV365: $i,SV158: $i] :
( ( ! [SY2515: $i,SY2516: $i] :
( ( opposite @ SV158 @ SV365 @ SV535 @ SY2516 )
| ~ ( opposite @ SV158 @ SV365 @ SV535 @ SY2515 )
| ~ ( samesideline @ SY2515 @ SY2516 @ SV365 @ SV535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1407,plain,
! [SV366: $i,SV159: $i,SV536: $i] :
( ( ! [SY2517: $i,SY2518: $i] :
( ( s_col @ SV536 @ SY2517 @ SY2518 )
| ( SY2517 = SV536 )
| ( SV159 = SV366 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SY2517 @ SV536 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SY2518 @ SV536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1208]) ).
thf(1408,plain,
! [SV537: $i,SV367: $i,SV160: $i] :
( ( ( SV160
!= ( foot @ SV160 @ SV367 @ SV537 ) )
| ! [SY2519: $i] :
( ( opposite @ SV537 @ SV160 @ SV367 @ SY2519 )
| ( samesideline @ SV537 @ SY2519 @ SV160 @ SV367 )
| ( s_col @ SV160 @ SV367 @ SY2519 )
| ( SV160 = SV367 )
| ( s_col @ SV160 @ SV367 @ SV537 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1409,plain,
! [SV538: $i,SV368: $i,SV161: $i] :
( ( ( SV161
= ( foot @ SV161 @ SV368 @ SV538 ) )
| ! [SY2520: $i] :
( ( opposite @ SV538 @ SV161 @ SV368 @ SY2520 )
| ( samesideline @ SV538 @ SY2520 @ SV161 @ SV368 )
| ( s_col @ SV161 @ SV368 @ SY2520 )
| ( SV161 = SV368 )
| ( s_col @ SV161 @ SV368 @ SV538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1210]) ).
thf(1410,plain,
! [SV369: $i,SV162: $i,SV539: $i] :
( ( ! [SY2521: $i] :
( ( opposite @ SV539 @ SV162 @ SV369 @ SY2521 )
| ( samesideline @ SV539 @ SY2521 @ SV162 @ SV369 )
| ( s_col @ SV162 @ SV369 @ SY2521 )
| ( SV162 = SV369 )
| ( s_col @ SV162 @ SV369 @ SV539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1211]) ).
thf(1411,plain,
! [SV163: $i,SV540: $i,SV370: $i] :
( ( ! [SY2522: $i,SY2523: $i] :
( ( samesideline @ SY2523 @ SV370 @ SV540 @ SY2522 )
| ~ ( samesideline @ SV163 @ SV370 @ SV540 @ SY2522 )
| ~ ( sameside @ SV163 @ SY2522 @ SY2523 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1412,plain,
! [SV541: $i,SV371: $i,SV164: $i] :
( ( ! [SY2524: $i,SY2525: $i] :
( ( samesideline @ SY2524 @ SY2525 @ SV164 @ SV371 )
| ( s_col @ SV164 @ SV371 @ SY2524 )
| ( SV164 = SV371 )
| ~ ( s_col @ SV164 @ SV371 @ SV541 )
| ~ ( s_col @ SY2524 @ SY2525 @ SV541 )
| ~ ( sameside @ SY2524 @ SV541 @ SY2525 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1413,plain,
! [SV542: $i,SV372: $i,SV165: $i] :
( ( ! [SY2526: $i] :
( ( ( reflect @ SV165 @ SV372 @ SY2526 )
= SV542 )
| ( ( reflect @ SV165 @ SV372 @ SV542 )
!= SY2526 )
| ( SV165 = SV372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1414,plain,
! [SV373: $i,SV166: $i] :
( ( ( SV166 = SV373 )
= $true )
| ( ( ! [SY2104: $i] :
( ( reflect @ SV166 @ SV373 @ ( reflect @ SV166 @ SV373 @ SY2104 ) )
= SY2104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1415,plain,
! [SV374: $i,SV167: $i,SV543: $i] :
( ( ! [SY2527: $i] :
( ( SV543
= ( reflect @ SV167 @ SV374 @ SY2527 ) )
| ( ( reflect @ SV167 @ SV374 @ SV543 )
!= SY2527 )
| ( SV167 = SV374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1416,plain,
! [SV375: $i,SV168: $i,SV544: $i] :
( ( ! [SY2528: $i] :
( ( SV544 = SY2528 )
| ( ( reflect @ SV168 @ SV375 @ SV544 )
!= ( reflect @ SV168 @ SV375 @ SY2528 ) )
| ( SV168 = SV375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1417,plain,
! [SV545: $i,SV376: $i,SV169: $i] :
( ( ( s_col @ SV169 @ SV376 @ SV545 )
| ( ( reflect @ SV169 @ SV376 @ SV545 )
!= SV545 )
| ( SV169 = SV376 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1418,plain,
! [SV546: $i,SV377: $i,SV170: $i] :
( ( ( ( reflect @ SV170 @ SV377 @ SV546 )
= SV546 )
| ( SV170 = SV377 )
| ~ ( s_col @ SV170 @ SV377 @ SV546 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1419,plain,
! [SV378: $i,SV171: $i,SV547: $i] :
( ( ! [SY2529: $i] : ( s_e @ SV547 @ SY2529 @ ( reflect @ SV171 @ SV378 @ SV547 ) @ ( reflect @ SV171 @ SV378 @ SY2529 ) )
| ( SV171 = SV378 )
| ~ ( s_col @ SV171 @ SV378 @ SV547 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1420,plain,
! [SV379: $i,SV172: $i] :
( ( ( SV172 = SV379 )
= $true )
| ( ( ! [SY2113: $i,SY2114: $i] : ( s_e @ SY2113 @ SY2114 @ ( reflect @ SV172 @ SV379 @ SY2113 ) @ ( reflect @ SV172 @ SV379 @ SY2114 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1221]) ).
thf(1421,plain,
! [SV380: $i,SV548: $i,SV173: $i] :
( ( ! [SY2530: $i] :
( ( s_e @ SV173 @ SV548 @ SY2530 @ SV548 )
| ~ ( s_r @ SV173 @ SV380 @ SV548 )
| ~ ( s_r @ SY2530 @ SV380 @ SV548 )
| ~ ( s_e @ SV173 @ SV380 @ SY2530 @ SV380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1422,plain,
! [SV174: $i,SV381: $i,SV549: $i] :
( ( ! [SY2531: $i,SY2532: $i] :
( ( SV549 = SY2532 )
| ( SV381
!= ( midpoint @ SV549 @ SY2532 ) )
| ( s_e @ SV174 @ SV549 @ SY2531 @ SY2532 )
| ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SY2531 @ SV381 @ SY2532 )
| ~ ( s_e @ SV174 @ SV381 @ SY2531 @ SV381 )
| ~ ( s_e @ SV381 @ SV549 @ SV381 @ SY2532 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1423,plain,
! [SV382: $i,SV550: $i,SV175: $i] :
( ( ! [SY2533: $i,SY2534: $i] :
( ( s_e @ SV175 @ SV550 @ SY2533 @ SY2534 )
| ~ ( s_r @ SV175 @ SV382 @ SV550 )
| ~ ( s_r @ SY2533 @ SV382 @ SY2534 )
| ~ ( s_e @ SV175 @ SV382 @ SY2533 @ SV382 )
| ~ ( s_e @ SV382 @ SV550 @ SV382 @ SY2534 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1424,plain,
! [SV383: $i,SV551: $i,SV176: $i] :
( ( ! [SY2535: $i,SY2536: $i,SY2537: $i] :
( ( s_e @ SV176 @ SV551 @ SY2535 @ SY2537 )
| ~ ( s_r @ SV176 @ SV383 @ SV551 )
| ~ ( s_r @ SY2535 @ SY2536 @ SY2537 )
| ~ ( s_e @ SV176 @ SV383 @ SY2535 @ SY2536 )
| ~ ( s_e @ SV383 @ SV551 @ SY2536 @ SY2537 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1425,plain,
! [SV552: $i,SV384: $i,SV177: $i] :
( ( ! [SY2538: $i] :
( ( insert @ SV177 @ SV384 @ SV552 @ SY2538 )
= ( ext @ ( ext @ SY2538 @ SV552 @ alpha @ gamma ) @ SV552 @ SV177 @ SV384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1426,plain,
! [SV178: $i,SV385: $i] :
( ( ~ ! [SY2129: $i,SY2130: $i] : ( s_e @ SV385 @ ( ext @ SV178 @ SV385 @ SY2129 @ SY2130 ) @ SY2129 @ SY2130 )
| ~ ! [SY2131: $i,SY2132: $i] : ( s_t @ SV178 @ SV385 @ ( ext @ SV178 @ SV385 @ SY2131 @ SY2132 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1427,plain,
! [SV386: $i,SV179: $i] :
( ( ~ ! [SY2133: $i,SY2134: $i] :
( ( SY2134
= ( reflect @ SV179 @ SV386 @ SY2133 ) )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SY2133 @ SY2134 ) )
| ~ ( perp @ SV179 @ SV386 @ SY2133 @ SY2134 ) )
| ~ ! [SY2135: $i,SY2136: $i] :
( ( SY2136
= ( reflect @ SV179 @ SV386 @ SY2135 ) )
| ( SY2135 != SY2136 )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SY2135 @ SY2136 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1428,plain,
( ( ~ ( ~ ~ ( s_t @ alpha @ beta @ gamma )
| ~ ~ ( s_t @ beta @ gamma @ alpha ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1429,plain,
( ( ~ ( s_t @ gamma @ alpha @ beta ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1430,plain,
! [SV180: $i] :
( ( ~ ~ ( ~ ! [SY1492: $i] :
( ( SV180 = SY1492 )
| ! [SY1493: $i] : ( perp @ SV180 @ SY1492 @ ( erect @ SV180 @ SY1492 @ SY1493 ) @ SV180 ) )
| ~ ! [SY1494: $i] :
( ( SV180 = SY1494 )
| ! [SY1495: $i] : ( s_col @ SV180 @ SY1494 @ ( erectAux @ SV180 @ SY1494 @ SY1495 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1431,plain,
! [SV180: $i] :
( ( ~ ! [SY1496: $i] :
( ( SV180 = SY1496 )
| ! [SY1497: $i] : ( s_t @ SY1497 @ ( erectAux @ SV180 @ SY1496 @ SY1497 ) @ ( erect @ SV180 @ SY1496 @ SY1497 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1231]) ).
thf(1432,plain,
! [SV387: $i,SV181: $i] :
( ( ~ ~ ( ~ ! [SY2137: $i,SY2138: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2137 @ SY2138 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SY2137 @ SY2138 @ SV181 @ SV387 ) ) )
| ~ ! [SY2139: $i,SY2140: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2139 @ SY2140 )
| ( s_e @ SV181 @ ( ins @ SY2139 @ SY2140 @ SV181 @ SV387 ) @ SY2139 @ SY2140 ) ) )
| ~ ! [SY2141: $i,SY2142: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2141 @ SY2142 )
| ( ( ins @ SY2141 @ SY2142 @ SV181 @ SV387 )
= ( ext @ SV181 @ SV387 @ ( insert @ SV181 @ SV387 @ SY2141 @ SY2142 ) @ SY2142 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1433,plain,
! [SV182: $i] :
( ( ~ ~ ( ~ ! [SY1505: $i,SY1506: $i] :
( ~ ( s_m @ SV182 @ SY1505 @ SY1506 )
| ( s_t @ SV182 @ SY1505 @ SY1506 ) )
| ~ ! [SY1507: $i,SY1508: $i] :
( ~ ( s_m @ SV182 @ SY1507 @ SY1508 )
| ( s_e @ SY1507 @ SV182 @ SY1507 @ SY1508 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1434,plain,
! [SV182: $i] :
( ( ~ ! [SY1509: $i,SY1510: $i] :
( ( s_m @ SV182 @ SY1509 @ SY1510 )
| ~ ( s_t @ SV182 @ SY1509 @ SY1510 )
| ~ ( s_e @ SY1509 @ SV182 @ SY1509 @ SY1510 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1435,plain,
! [SV183: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
| ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) )
| ~ ! [SY1517: $i,SY1518: $i] :
( ( sameside @ SV183 @ SY1517 @ SY1518 )
| ( xb = SY1517 )
| ~ ( s_t @ SY1517 @ SV183 @ SY1518 )
| ( SV183 = SY1517 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1436,plain,
! [SV183: $i] :
( ( ~ ! [SY1519: $i,SY1520: $i] :
( ( sameside @ SV183 @ SY1519 @ SY1520 )
| ( SY1520 = SY1519 )
| ~ ( s_t @ SY1519 @ SY1520 @ SV183 )
| ( SV183 = SY1519 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1437,plain,
! [SV184: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
| ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) )
| ~ ! [SY1527: $i,SY1528: $i] :
( ~ ( sameside @ SV184 @ SY1527 @ SY1528 )
| ( s_t @ SV184 @ SY1527 @ ( c63 @ SV184 @ SY1527 @ SY1528 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1438,plain,
! [SV184: $i] :
( ( ~ ! [SY1529: $i,SY1530: $i] :
( ~ ( sameside @ SV184 @ SY1529 @ SY1530 )
| ( s_t @ SY1530 @ SY1529 @ ( c63 @ SV184 @ SY1529 @ SY1530 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1439,plain,
! [SV553: $i,SV388: $i,SV185: $i] :
( ( ! [SY2539: $i,SY2540: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( s_col @ SV553 @ SY2539 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SY2539 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( s_col @ SV553 @ SY2539 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SY2539 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SY2539 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SY2539 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SY2539 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SY2539 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SY2539 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SY2539 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SY2539 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SY2539 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SY2539 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SY2539 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( SV553 != SY2539 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ~ ( s_col @ SV553 @ SY2539 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ~ ( s_col @ SV553 @ SY2539 @ SV388 ) ) )
| ~ ( ( samesideline @ SV185 @ SV388 @ SV553 @ SY2539 )
| ( s_col @ SV553 @ SY2539 @ SV388 )
| ( s_col @ SV553 @ SY2539 @ SV185 )
| ! [SY2541: $i,SY2542: $i] :
( ( SV388 = SY2542 )
| ( SV185 = SY2540 )
| ( SY2541 = SY2542 )
| ( SY2541 = SY2540 )
| ( SV553 = SY2539 )
| ~ ( s_t @ SV185 @ SY2540 @ SY2541 )
| ~ ( s_t @ SV388 @ SY2542 @ SY2541 )
| ~ ( s_col @ SV553 @ SY2539 @ SY2540 )
| ~ ( s_col @ SV553 @ SY2539 @ SY2542 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1440,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
| ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) )
| ~ ! [SY2547: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2547 )
| ( s_t @ SV554 @ ( il @ SV554 @ SY2547 @ SV186 @ SV389 ) @ SY2547 ) ) )
| ~ ! [SY2548: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2548 )
| ( s_col @ SV186 @ SV389 @ ( il @ SV554 @ SY2548 @ SV186 @ SV389 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1441,plain,
! [SV390: $i,SV187: $i,SV555: $i] :
( ( ~ ( ~ ! [SY2549: $i,SY2550: $i] :
( ( SY2549 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SY2549 )
| ~ ( s_col @ SV187 @ SV390 @ SY2550 )
| ~ ( perp @ SV187 @ SV390 @ SY2550 @ SV555 ) )
| ~ ! [SY2551: $i,SY2552: $i] :
( ( s_r @ SY2552 @ SV555 @ SY2551 )
| ( SY2551 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SY2551 )
| ~ ( perp @ SV187 @ SV390 @ SY2552 @ SV555 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1442,plain,
! [SV188: $i] :
( ( ~ ! [SY1551: $i,SY1552: $i] :
( ~ ( s_r @ SV188 @ SY1551 @ SY1552 )
| ( s_e @ SV188 @ SY1552 @ SV188 @ ( s @ SY1551 @ SY1552 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1443,plain,
! [SV188: $i] :
( ( ~ ! [SY1553: $i,SY1554: $i] :
( ( s_r @ SV188 @ SY1553 @ SY1554 )
| ~ ( s_e @ SV188 @ SY1554 @ SV188 @ ( s @ SY1553 @ SY1554 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1444,plain,
! [SV189: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) )
| ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) )
| ~ ! [SY1559: $i,SY1560: $i] :
( ( s_col @ SV189 @ SY1559 @ SY1560 )
| ~ ( s_t @ SY1559 @ SY1560 @ SV189 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1445,plain,
! [SV189: $i] :
( ( ~ ! [SY1561: $i,SY1562: $i] :
( ( s_col @ SV189 @ SY1561 @ SY1562 )
| ~ ( s_t @ SY1562 @ SV189 @ SY1561 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1446,plain,
! [SV556: $i,SV391: $i,SV190: $i] :
( ( ~ ( ~ ! [SY2553: $i,SY2554: $i] :
( ( s_t @ SY2553 @ ( insert @ SV190 @ SV391 @ SY2553 @ SY2554 ) @ SY2554 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SY2553 @ SY2554 ) )
| ~ ! [SY2555: $i,SY2556: $i] :
( ( s_e3 @ SV190 @ SV391 @ SV556 @ SY2555 @ ( insert @ SV190 @ SV391 @ SY2555 @ SY2556 ) @ SY2556 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SY2555 @ SY2556 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1447,plain,
! [SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY2557: $i,SY2558: $i,SY2559: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2560: $i,SY2561: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SY2557 @ SY2558 @ SY2559 @ SY2560 @ SY2561 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY2562: $i] :
( ! [SY2563: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SY2557 @ SY2558 @ SY2559 @ SY2562 @ SY2563 )
| ( s_t @ SY2558 @ SY2559 @ SY2562 ) ) )
| ~ ( ! [SY2564: $i,SY2565: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SY2557 @ SY2558 @ SY2559 @ SY2564 @ SY2565 )
| ( s_e @ SV191 @ SV392 @ SY2558 @ SY2559 ) ) )
| ~ ! [SY2566: $i] :
( ! [SY2567: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SY2557 @ SY2558 @ SY2559 @ SY2566 @ SY2567 )
| ( s_e @ SV392 @ SV557 @ SY2559 @ SY2566 ) ) )
| ~ ! [SY2568: $i,SY2569: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SY2557 @ SY2558 @ SY2559 @ SY2568 @ SY2569 )
| ( s_e @ SV191 @ SY2557 @ SY2558 @ SY2569 ) ) )
| ~ ! [SY2570: $i,SY2571: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SY2557 @ SY2558 @ SY2559 @ SY2570 @ SY2571 )
| ( s_e @ SV392 @ SY2557 @ SY2559 @ SY2571 ) ) )
| ~ ! [SY2572: $i,SY2573: $i] :
( ( s_afs @ SV191 @ SV392 @ SV557 @ SY2557 @ SY2558 @ SY2559 @ SY2572 @ SY2573 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SY2558 @ SY2559 @ SY2572 )
| ~ ( s_e @ SV191 @ SV392 @ SY2558 @ SY2559 )
| ~ ( s_e @ SV392 @ SV557 @ SY2559 @ SY2572 )
| ~ ( s_e @ SV191 @ SY2557 @ SY2558 @ SY2573 )
| ~ ( s_e @ SV392 @ SY2557 @ SY2559 @ SY2573 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1448,plain,
! [SV558: $i,SV393: $i,SV192: $i] :
( ( ! [SY2574: $i,SY2575: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SY2574 @ SY2575 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SY2574 @ SY2575 )
| ( s_col @ SY2574 @ SY2575 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SY2574 @ SY2575 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SY2574 @ SY2575 )
| ( SY2574 != SY2575 ) ) )
| ~ ! [SY2576: $i,SY2577: $i] :
( ( s_r @ SY2576 @ SV558 @ SY2577 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SY2574 @ SY2575 )
| ~ ( s_col @ SV192 @ SV393 @ SY2576 )
| ~ ( s_col @ SY2574 @ SY2575 @ SY2577 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SY2574 @ SY2575 @ SV558 ) )
| ( SY2574 = SY2575 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SY2574 @ SY2575 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SY2574 @ SY2575 @ SV558 ) ) )
| ~ ( ( s_col @ SY2574 @ SY2575 @ ( g811 @ SV192 @ SV393 @ SY2574 @ SY2575 @ SV558 ) )
| ( SY2574 = SY2575 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SY2574 @ SY2575 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SY2574 @ SY2575 @ SV558 ) ) )
| ~ ( ( SY2574 = SY2575 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SY2574 @ SY2575 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SY2574 @ SY2575 @ SV558 )
| ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SY2574 @ SY2575 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SY2574 @ SY2575 @ SV558 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1449,plain,
! [SV559: $i,SV193: $i,SV394: $i] :
( ( ~ ( ~ ! [SY2578: $i,SY2579: $i] :
( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SY2578 @ SY2579 ) @ SY2578 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SY2578 @ SY2579 @ SV559 ) )
| ~ ! [SY2580: $i,SY2581: $i] :
( ( s_t @ SY2581 @ ( ip @ SV193 @ SV394 @ SV559 @ SY2580 @ SY2581 ) @ SV193 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SY2580 @ SY2581 @ SV559 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1450,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
| ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) )
| ~ ! [SY2596: $i,SY2597: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2596 @ SY2597 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SY2596 @ SY2597 @ SV560 ) ) ) )
| ~ ! [SY2598: $i,SY2599: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2598 @ SY2599 )
| ( s_r @ ( f813 @ SV194 @ SV395 @ SY2598 @ SY2599 @ SV560 ) @ SV560 @ ( g813 @ SV194 @ SV395 @ SY2598 @ SY2599 @ SV560 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1451,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY2600: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2600 )
| ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2600 ) @ SY2600 ) )
| ~ ! [SY2601: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2601 )
| ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2601 ) ) ) )
| ~ ! [SY2602: $i] :
( ( le @ SV195 @ SV396 @ SV561 @ SY2602 )
| ! [SY2603: $i] :
( ~ ( s_t @ SV561 @ SY2603 @ SY2602 )
| ~ ( s_e @ SV195 @ SV396 @ SV561 @ SY2603 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1452,plain,
! [SV562: $i,SV397: $i,SV196: $i] :
( ( ! [SY2604: $i] :
~ ( ~ ! [SY2605: $i,SY2606: $i] :
( ( s_t @ SY2606 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SY2604 @ SY2605 @ SY2606 ) @ SV562 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SY2604 @ SY2605 @ SV562 )
| ~ ( s_t @ SV196 @ SY2606 @ SY2604 ) )
| ~ ! [SY2607: $i,SY2608: $i] :
( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SY2604 @ SY2607 @ SY2608 ) @ SY2607 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SY2604 @ SY2607 @ SV562 )
| ~ ( s_t @ SV196 @ SY2608 @ SY2604 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1453,plain,
! [SV398: $i,SV563: $i,SV197: $i] :
( ( ~ ( ~ ! [SY2609: $i,SY2610: $i] :
( ( s_t @ SV197 @ ( op @ SY2610 @ SY2609 @ SV563 @ SV398 @ SV197 ) @ SY2609 )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SY2609 @ SY2610 @ SV398 ) )
| ~ ! [SY2611: $i,SY2612: $i] :
( ( s_t @ SV563 @ SY2612 @ ( op @ SY2612 @ SY2611 @ SV563 @ SV398 @ SV197 ) )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SY2611 @ SY2612 @ SV398 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1454,plain,
! [SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY2613: $i,SY2614: $i,SY2615: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2616: $i,SY2617: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SY2613 @ SY2614 @ SY2615 @ SY2616 @ SY2617 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY2618: $i] :
( ! [SY2619: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SY2613 @ SY2614 @ SY2615 @ SY2618 @ SY2619 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SY2614 @ SY2615 @ SY2618 ) ) )
| ~ ! [SY2620: $i,SY2621: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SY2613 @ SY2614 @ SY2615 @ SY2620 @ SY2621 )
| ( s_e @ SV198 @ SY2613 @ SY2614 @ SY2621 ) ) )
| ~ ! [SY2622: $i,SY2623: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SY2613 @ SY2614 @ SY2615 @ SY2622 @ SY2623 )
| ( s_e @ SV399 @ SY2613 @ SY2615 @ SY2623 ) ) )
| ~ ! [SY2624: $i,SY2625: $i] :
( ( s_fs @ SV198 @ SV399 @ SV564 @ SY2613 @ SY2614 @ SY2615 @ SY2624 @ SY2625 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SY2614 @ SY2615 @ SY2624 )
| ~ ( s_e @ SV198 @ SY2613 @ SY2614 @ SY2625 )
| ~ ( s_e @ SV399 @ SY2613 @ SY2615 @ SY2625 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1455,plain,
( ( ~ ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1456,plain,
( ( ~ ( ~ ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
| ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ~ ( ( sK1_Xa != sK2_SY900 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1457,plain,
! [SV199: $i] :
( ( ~ ! [SY1654: $i] :
( ( SV199 = SY1654 )
| ! [SY1655: $i] : ( s_col @ SV199 @ SY1654 @ ( midpoint @ SY1655 @ ( reflect @ SV199 @ SY1654 @ SY1655 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1458,plain,
! [SV199: $i] :
( ( ~ ! [SY1656: $i,SY1657: $i] :
( ( perp @ SV199 @ SY1656 @ SY1657 @ ( reflect @ SV199 @ SY1656 @ SY1657 ) )
| ( SV199 = SY1656 )
| ( SY1657
= ( reflect @ SV199 @ SY1656 @ SY1657 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1459,plain,
! [SV200: $i] :
( ( ~ ~ ( ~ ! [SY1658: $i,SY1659: $i] :
( ( s_col @ SV200 @ SY1658 @ SY1659 )
| ( SV200 = SY1658 )
| ( perp @ SV200 @ SY1658 @ ( erect21a @ SV200 @ SY1658 @ SY1659 ) @ SV200 ) )
| ~ ! [SY1660: $i,SY1661: $i] :
( ( s_col @ SV200 @ SY1660 @ SY1661 )
| ( SV200 = SY1660 )
| ( s_col @ SV200 @ SY1660 @ ( erectAux21a @ SV200 @ SY1660 @ SY1661 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1253]) ).
thf(1460,plain,
! [SV200: $i] :
( ( ~ ! [SY1662: $i,SY1663: $i] :
( ( s_col @ SV200 @ SY1662 @ SY1663 )
| ( SV200 = SY1662 )
| ( s_t @ SY1663 @ ( erectAux21a @ SV200 @ SY1662 @ SY1663 ) @ ( erect21a @ SV200 @ SY1662 @ SY1663 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1253]) ).
thf(1461,plain,
! [SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2626: $i,SY2627: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2628: $i,SY2629: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SY2626 @ SY2627 @ SY2628 @ SY2629 )
| ( s_t @ SV201 @ SY2626 @ SY2629 ) )
| ~ ( ! [SY2630: $i,SY2631: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SY2626 @ SY2627 @ SY2630 @ SY2631 )
| ( s_t @ SV565 @ SY2626 @ SY2627 ) ) )
| ~ ( ! [SY2632: $i,SY2633: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SY2626 @ SY2627 @ SY2632 @ SY2633 )
| ( s_e @ SY2626 @ SV201 @ SY2626 @ SV565 ) ) )
| ~ ! [SY2634: $i,SY2635: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SY2626 @ SY2627 @ SY2634 @ SY2635 )
| ( s_e @ SY2626 @ SY2635 @ SY2626 @ SY2627 ) ) )
| ~ ( ! [SY2636: $i,SY2637: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SY2626 @ SY2627 @ SY2636 @ SY2637 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
| ~ ! [SY2638: $i,SY2639: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SY2626 @ SY2627 @ SY2638 @ SY2639 )
| ( s_m @ SY2639 @ SY2638 @ SY2627 ) ) )
| ~ ! [SY2640: $i,SY2641: $i] :
( ( s_kf @ SV201 @ SV400 @ SV565 @ SY2626 @ SY2627 @ SY2640 @ SY2641 )
| ~ ( s_t @ SV201 @ SY2626 @ SY2641 )
| ~ ( s_t @ SV565 @ SY2626 @ SY2627 )
| ~ ( s_e @ SY2626 @ SV201 @ SY2626 @ SV565 )
| ~ ( s_e @ SY2626 @ SY2641 @ SY2626 @ SY2627 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SY2641 @ SY2640 @ SY2627 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1462,plain,
! [SV202: $i] :
( ( ~ ! [SY1682: $i,SY1683: $i] :
( ~ ( sameside @ SV202 @ SY1682 @ SY1683 )
| ( s_col @ SV202 @ SY1682 @ SY1683 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1463,plain,
! [SV202: $i] :
( ( ~ ! [SY1684: $i,SY1685: $i] :
( ~ ( sameside @ SV202 @ SY1684 @ SY1685 )
| ~ ( s_t @ SV202 @ SY1684 @ SY1685 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1464,plain,
! [SV566: $i,SV401: $i,SV203: $i] :
( ( ~ ( ~ ! [SY2642: $i] :
( ~ ( perp @ SV203 @ SV401 @ SV566 @ SY2642 )
| ( perpAt @ SV203 @ SV401 @ ( il @ SV203 @ SV401 @ SV566 @ SY2642 ) @ SV566 @ SY2642 ) )
| ~ ! [SY2643: $i] :
( ( perp @ SV203 @ SV401 @ SV566 @ SY2643 )
| ! [SY2644: $i] :
~ ( perpAt @ SV203 @ SV401 @ SY2644 @ SV566 @ SY2643 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1465,plain,
! [SV204: $i,SV402: $i] :
( ( ~ ! [SY2263: $i,SY2264: $i] :
( ( sameside @ ( insert @ SY2263 @ SY2264 @ SV402 @ SV204 ) @ SV402 @ SV204 )
| ( SV204 = SV402 )
| ( SY2263 = SY2264 ) )
| ~ ! [SY2265: $i,SY2266: $i] :
( ( s_e @ SV402 @ ( insert @ SY2265 @ SY2266 @ SV402 @ SV204 ) @ SY2265 @ SY2266 )
| ( SV204 = SV402 )
| ( SY2265 = SY2266 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1466,plain,
! [SV205: $i] :
( ( ~ ! [SY1696: $i,SY1697: $i] :
( ( s_col @ SV205 @ SY1696 @ SY1697 )
| ( s_col @ SV205 @ SY1696 @ ( foot @ SV205 @ SY1696 @ SY1697 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1467,plain,
! [SV205: $i] :
( ( ~ ! [SY1698: $i,SY1699: $i] :
( ( perp @ SV205 @ SY1698 @ SY1699 @ ( foot @ SV205 @ SY1698 @ SY1699 ) )
| ( s_col @ SV205 @ SY1698 @ SY1699 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1258]) ).
thf(1468,plain,
! [SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY2645: $i,SY2646: $i,SY2647: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2648: $i,SY2649: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SY2645 @ SY2646 @ SY2647 @ SY2648 @ SY2649 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY2650: $i] :
( ! [SY2651: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SY2645 @ SY2646 @ SY2647 @ SY2650 @ SY2651 )
| ( s_t @ SY2646 @ SY2647 @ SY2650 ) ) )
| ~ ! [SY2652: $i] :
( ! [SY2653: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SY2645 @ SY2646 @ SY2647 @ SY2652 @ SY2653 )
| ( s_e @ SV206 @ SV567 @ SY2646 @ SY2652 ) ) )
| ~ ! [SY2654: $i] :
( ! [SY2655: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SY2645 @ SY2646 @ SY2647 @ SY2654 @ SY2655 )
| ( s_e @ SV403 @ SV567 @ SY2647 @ SY2654 ) ) )
| ~ ! [SY2656: $i,SY2657: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SY2645 @ SY2646 @ SY2647 @ SY2656 @ SY2657 )
| ( s_e @ SV206 @ SY2645 @ SY2646 @ SY2657 ) ) )
| ~ ! [SY2658: $i,SY2659: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SY2645 @ SY2646 @ SY2647 @ SY2658 @ SY2659 )
| ( s_e @ SV567 @ SY2645 @ SY2658 @ SY2659 ) ) )
| ~ ! [SY2660: $i,SY2661: $i] :
( ( s_ifs @ SV206 @ SV403 @ SV567 @ SY2645 @ SY2646 @ SY2647 @ SY2660 @ SY2661 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SY2646 @ SY2647 @ SY2660 )
| ~ ( s_e @ SV206 @ SV567 @ SY2646 @ SY2660 )
| ~ ( s_e @ SV403 @ SV567 @ SY2647 @ SY2660 )
| ~ ( s_e @ SV206 @ SY2645 @ SY2646 @ SY2661 )
| ~ ( s_e @ SV567 @ SY2645 @ SY2660 @ SY2661 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1469,plain,
! [SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY2662: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY2663: $i] :
( ! [SY2664: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SY2662 @ SY2663 @ SY2664 )
| ( s_e @ SV207 @ SV404 @ SY2662 @ SY2663 ) )
| ~ ! [SY2665: $i,SY2666: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SY2662 @ SY2665 @ SY2666 )
| ( s_e @ SV207 @ SV568 @ SY2662 @ SY2666 ) ) )
| ~ ! [SY2667: $i,SY2668: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SY2662 @ SY2667 @ SY2668 )
| ( s_e @ SV404 @ SV568 @ SY2667 @ SY2668 ) ) )
| ~ ! [SY2669: $i,SY2670: $i] :
( ( s_e3 @ SV207 @ SV404 @ SV568 @ SY2662 @ SY2669 @ SY2670 )
| ~ ( s_e @ SV207 @ SV404 @ SY2662 @ SY2669 )
| ~ ( s_e @ SV207 @ SV568 @ SY2662 @ SY2670 )
| ~ ( s_e @ SV404 @ SV568 @ SY2669 @ SY2670 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1470,plain,
! [SV209: $i,SV2: $i,SV569: $i,SV405: $i] :
( ( ! [SY2671: $i,SY2672: $i] :
( ( s_e @ SV405 @ SV569 @ SY2671 @ SY2672 )
| ~ ( s_e @ SV2 @ SV209 @ SV405 @ SV569 )
| ~ ( s_e @ SV2 @ SV209 @ SY2671 @ SY2672 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1471,plain,
! [SV570: $i,SV210: $i,SV3: $i] :
( ( ( ~ ( s_e @ SV3 @ SV210 @ SV570 @ SV570 ) )
= $true )
| ( ( SV3 = SV210 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1472,plain,
! [SV571: $i,SV406: $i,SV211: $i,SV4: $i] :
( ( ! [SY2673: $i,SY2674: $i,SY2675: $i,SY2676: $i] :
( ( s_e @ SY2673 @ SY2675 @ SY2674 @ SY2676 )
| ( SV4 = SV211 )
| ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SY2673 @ SV571 @ SY2674 )
| ~ ( s_e @ SV4 @ SY2675 @ SV406 @ SY2676 )
| ~ ( s_e @ SV211 @ SY2675 @ SV571 @ SY2676 )
| ~ ( s_t @ SV4 @ SV211 @ SY2673 )
| ~ ( s_t @ SV406 @ SV571 @ SY2674 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1473,plain,
! [SV212: $i,SV5: $i] :
( ( ( s_t @ SV5 @ SV212 @ SV5 )
= $false )
| ( ( SV5 = SV212 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1474,plain,
! [SV572: $i,SV407: $i,SV214: $i,SV7: $i] :
( ( ~ ( s_e @ SV7 @ SV214 @ SV407 @ SV572 )
| ( s_e @ SV407 @ SV572 @ SV7 @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1475,plain,
! [SV573: $i,SV408: $i,SV215: $i,SV8: $i] :
( ( ! [SY2677: $i,SY2678: $i] :
( ( s_e @ SV8 @ SV215 @ SY2677 @ SY2678 )
| ~ ( s_e @ SV8 @ SV215 @ SV408 @ SV573 )
| ~ ( s_e @ SV408 @ SV573 @ SY2677 @ SY2678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1476,plain,
! [SV574: $i,SV409: $i,SV216: $i,SV9: $i] :
( ( ~ ( s_e @ SV9 @ SV216 @ SV409 @ SV574 )
| ( s_e @ SV216 @ SV9 @ SV409 @ SV574 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1477,plain,
! [SV575: $i,SV410: $i,SV217: $i,SV10: $i] :
( ( ~ ( s_e @ SV10 @ SV217 @ SV410 @ SV575 )
| ( s_e @ SV10 @ SV217 @ SV575 @ SV410 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1478,plain,
! [SV219: $i,SV576: $i,SV411: $i,SV12: $i] :
( ( ! [SY2679: $i,SY2680: $i] :
( ( s_e @ SV12 @ SV411 @ SV576 @ SY2680 )
| ~ ( s_t @ SV12 @ SV219 @ SV411 )
| ~ ( s_t @ SV576 @ SY2679 @ SY2680 )
| ~ ( s_e @ SV12 @ SV219 @ SV576 @ SY2679 )
| ~ ( s_e @ SV219 @ SV411 @ SY2679 @ SY2680 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1479,plain,
! [SV577: $i,SV220: $i,SV13: $i,SV412: $i] :
( ( ! [SY2681: $i] :
( ( SV412
= ( ext @ SV13 @ SV220 @ SV577 @ SY2681 ) )
| ( SV13 = SV220 )
| ~ ( s_t @ SV13 @ SV220 @ SV412 )
| ~ ( s_e @ SV220 @ SV412 @ SV577 @ SY2681 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1480,plain,
! [SV578: $i,SV221: $i,SV14: $i] :
( ( ( ~ ( s_e @ SV14 @ SV221 @ SV578 @ SV578 ) )
= $true )
| ( ( SV14 = SV221 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1481,plain,
! [SV579: $i,SV413: $i,SV222: $i,SV15: $i] :
( ( ~ ( s_e @ SV15 @ SV222 @ SV413 @ SV579 )
| ( s_e @ SV222 @ SV15 @ SV579 @ SV413 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1482,plain,
! [SV223: $i,SV580: $i,SV414: $i,SV16: $i] :
( ( ! [SY2682: $i,SY2683: $i] :
( ( s_e @ SV16 @ SV414 @ SV580 @ SY2683 )
| ~ ( s_t @ SV16 @ SV223 @ SV414 )
| ~ ( s_t @ SV580 @ SY2682 @ SY2683 )
| ~ ( s_e @ SV16 @ SV223 @ SY2682 @ SY2683 )
| ~ ( s_e @ SV223 @ SV414 @ SV580 @ SY2682 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1483,plain,
! [SV415: $i,SV225: $i,SV18: $i] :
( ( ( ~ ( s_t @ SV18 @ SV225 @ SV415 ) )
= $true )
| ( ( s_t @ SV415 @ SV225 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1274]) ).
thf(1484,plain,
! [SV581: $i,SV227: $i,SV20: $i] :
( ( ( ~ ( s_t @ SV20 @ SV227 @ SV581 )
| ~ ( s_t @ SV227 @ SV20 @ SV581 ) )
= $true )
| ( ( SV20 = SV227 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1485,plain,
! [SV416: $i,SV582: $i,SV228: $i,SV21: $i] :
( ( ( s_t @ SV21 @ SV228 @ SV582 )
| ~ ( s_t @ SV21 @ SV228 @ SV416 )
| ~ ( s_t @ SV228 @ SV582 @ SV416 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1486,plain,
! [SV22: $i,SV583: $i,SV417: $i,SV229: $i] :
( ( ( s_t @ SV229 @ SV417 @ SV583 )
| ~ ( s_t @ SV22 @ SV229 @ SV417 )
| ~ ( s_t @ SV22 @ SV417 @ SV583 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1487,plain,
! [SV230: $i,SV584: $i,SV418: $i,SV23: $i] :
( ( ( s_t @ SV23 @ SV418 @ SV584 )
| ( SV230 = SV418 )
| ~ ( s_t @ SV23 @ SV230 @ SV418 )
| ~ ( s_t @ SV230 @ SV418 @ SV584 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1488,plain,
! [SV231: $i,SV419: $i,SV585: $i,SV24: $i] :
( ( ( s_t @ SV24 @ SV585 @ SV419 )
| ~ ( s_t @ SV24 @ SV231 @ SV419 )
| ~ ( s_t @ SV231 @ SV585 @ SV419 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1489,plain,
! [SV420: $i,SV586: $i,SV232: $i,SV25: $i] :
( ( ( s_t @ SV25 @ SV232 @ SV586 )
| ~ ( s_t @ SV25 @ SV232 @ SV420 )
| ~ ( s_t @ SV25 @ SV420 @ SV586 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1490,plain,
! [SV421: $i,SV587: $i,SV233: $i,SV26: $i] :
( ( ( s_t @ SV26 @ SV233 @ SV587 )
| ( SV233 = SV421 )
| ~ ( s_t @ SV26 @ SV233 @ SV421 )
| ~ ( s_t @ SV233 @ SV421 @ SV587 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1491,plain,
! [SV588: $i,SV422: $i,SV236: $i,SV29: $i] :
( ( ! [SY2684: $i,SY2685: $i,SY2686: $i,SY2687: $i] :
( ~ ( s_ifs @ SV29 @ SV236 @ SV422 @ SV588 @ SY2684 @ SY2685 @ SY2686 @ SY2687 )
| ( s_e @ SV236 @ SV588 @ SY2685 @ SY2687 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1492,plain,
! [SV423: $i,SV589: $i,SV237: $i,SV30: $i] :
( ( ! [SY2688: $i] :
( ( s_e @ SV30 @ SV237 @ SV589 @ SY2688 )
| ! [SY2689: $i] :
( ~ ( s_t @ SV30 @ SV237 @ SV423 )
| ~ ( s_t @ SV589 @ SY2688 @ SY2689 )
| ~ ( s_e @ SV30 @ SV423 @ SV589 @ SY2689 )
| ~ ( s_e @ SV237 @ SV423 @ SY2688 @ SY2689 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1493,plain,
! [SV424: $i,SV238: $i,SV31: $i,SV590: $i] :
( ( ! [SY2690: $i,SY2691: $i] :
( ( s_t @ SV590 @ SY2690 @ SY2691 )
| ~ ( s_t @ SV31 @ SV238 @ SV424 )
| ~ ( s_e3 @ SV31 @ SV238 @ SV424 @ SV590 @ SY2690 @ SY2691 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1494,plain,
! [SV425: $i,SV239: $i,SV32: $i] :
( ( ( ~ ( s_col @ SV32 @ SV239 @ SV425 ) )
= $true )
| ( ( s_col @ SV239 @ SV425 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1286]) ).
thf(1495,plain,
! [SV426: $i,SV240: $i,SV33: $i] :
( ( ( ~ ( s_col @ SV33 @ SV240 @ SV426 ) )
= $true )
| ( ( s_col @ SV426 @ SV33 @ SV240 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1287]) ).
thf(1496,plain,
! [SV427: $i,SV241: $i,SV34: $i] :
( ( ( ~ ( s_col @ SV34 @ SV241 @ SV427 ) )
= $true )
| ( ( s_col @ SV427 @ SV241 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1497,plain,
! [SV428: $i,SV242: $i,SV35: $i] :
( ( ( ~ ( s_col @ SV35 @ SV242 @ SV428 ) )
= $true )
| ( ( s_col @ SV242 @ SV35 @ SV428 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1498,plain,
! [SV429: $i,SV243: $i,SV36: $i] :
( ( ( ~ ( s_col @ SV36 @ SV243 @ SV429 ) )
= $true )
| ( ( s_col @ SV36 @ SV429 @ SV243 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1499,plain,
! [SV430: $i,SV246: $i,SV39: $i,SV591: $i] :
( ( ! [SY2692: $i,SY2693: $i] :
( ( s_col @ SV591 @ SY2692 @ SY2693 )
| ~ ( s_col @ SV39 @ SV246 @ SV430 )
| ~ ( s_e3 @ SV39 @ SV246 @ SV430 @ SV591 @ SY2692 @ SY2693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1500,plain,
! [SV592: $i,SV431: $i,SV247: $i,SV40: $i] :
( ( ! [SY2694: $i] :
( ( s_e3 @ SV40 @ SV247 @ SV431 @ SV592 @ SY2694 @ ( insert5 @ SV40 @ SV247 @ SV431 @ SV592 @ SY2694 ) )
| ~ ( s_col @ SV40 @ SV247 @ SV431 )
| ~ ( s_e @ SV40 @ SV247 @ SV592 @ SY2694 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1501,plain,
! [SV248: $i,SV41: $i,SV593: $i,SV432: $i] :
( ( ! [SY2695: $i,SY2696: $i,SY2697: $i,SY2698: $i] :
( ( s_e @ SV432 @ SV593 @ SY2697 @ SY2698 )
| ~ ( s_fs @ SV41 @ SV248 @ SV432 @ SV593 @ SY2695 @ SY2696 @ SY2697 @ SY2698 )
| ( SV41 = SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1502,plain,
! [SV249: $i,SV42: $i,SV594: $i,SV433: $i] :
( ( ! [SY2699: $i] :
( ( s_e @ SV433 @ SV594 @ SV433 @ SY2699 )
| ( SV42 = SV249 )
| ~ ( s_col @ SV42 @ SV249 @ SV433 )
| ~ ( s_e @ SV42 @ SV594 @ SV42 @ SY2699 )
| ~ ( s_e @ SV249 @ SV594 @ SV249 @ SY2699 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1503,plain,
! [SV250: $i,SV43: $i,SV595: $i,SV434: $i] :
( ( ( SV434 = SV595 )
| ( SV43 = SV250 )
| ~ ( s_col @ SV43 @ SV250 @ SV434 )
| ~ ( s_e @ SV43 @ SV434 @ SV43 @ SV595 )
| ~ ( s_e @ SV250 @ SV434 @ SV250 @ SV595 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1504,plain,
! [SV435: $i,SV44: $i,SV596: $i,SV251: $i] :
( ( ( SV251 = SV596 )
| ~ ( s_t @ SV44 @ SV251 @ SV435 )
| ~ ( s_e @ SV44 @ SV251 @ SV44 @ SV596 )
| ~ ( s_e @ SV435 @ SV251 @ SV435 @ SV596 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1505,plain,
! [SV252: $i,SV436: $i,SV597: $i,SV45: $i] :
( ( ( s_t @ SV45 @ SV597 @ SV436 )
| ( s_t @ SV45 @ SV436 @ SV597 )
| ( SV45 = SV252 )
| ~ ( s_t @ SV45 @ SV252 @ SV436 )
| ~ ( s_t @ SV45 @ SV252 @ SV597 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1506,plain,
! [SV46: $i,SV437: $i,SV598: $i,SV253: $i] :
( ( ( s_t @ SV253 @ SV598 @ SV437 )
| ( s_t @ SV253 @ SV437 @ SV598 )
| ( SV46 = SV253 )
| ~ ( s_t @ SV46 @ SV253 @ SV437 )
| ~ ( s_t @ SV46 @ SV253 @ SV598 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1507,plain,
! [SV438: $i,SV254: $i,SV599: $i,SV47: $i] :
( ( ( s_t @ SV47 @ SV599 @ SV254 )
| ( s_t @ SV47 @ SV254 @ SV599 )
| ~ ( s_t @ SV47 @ SV254 @ SV438 )
| ~ ( s_t @ SV47 @ SV599 @ SV438 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1508,plain,
! [SV600: $i,SV439: $i,SV255: $i,SV48: $i] :
( ( ! [SY2700: $i] :
( ( le @ SV48 @ SV255 @ SV439 @ SV600 )
| ~ ( s_t @ SV48 @ SV255 @ SY2700 )
| ~ ( s_e @ SV48 @ SY2700 @ SV439 @ SV600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1509,plain,
! [SV601: $i,SV440: $i,SV256: $i,SV49: $i] :
( ( ! [SY2701: $i,SY2702: $i,SY2703: $i,SY2704: $i] :
( ( le @ SY2701 @ SY2702 @ SY2703 @ SY2704 )
| ~ ( le @ SV49 @ SV256 @ SV440 @ SV601 )
| ~ ( s_e @ SV49 @ SV256 @ SY2701 @ SY2702 )
| ~ ( s_e @ SV440 @ SV601 @ SY2703 @ SY2704 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1510,plain,
! [SV602: $i,SV441: $i,SV258: $i,SV51: $i] :
( ( ! [SY2705: $i,SY2706: $i] :
( ( le @ SV51 @ SV258 @ SY2705 @ SY2706 )
| ~ ( le @ SV51 @ SV258 @ SV441 @ SV602 )
| ~ ( le @ SV441 @ SV602 @ SY2705 @ SY2706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1511,plain,
! [SV603: $i,SV442: $i,SV259: $i,SV52: $i] :
( ( ( s_e @ SV52 @ SV259 @ SV442 @ SV603 )
| ~ ( le @ SV52 @ SV259 @ SV442 @ SV603 )
| ~ ( le @ SV442 @ SV603 @ SV52 @ SV259 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1512,plain,
! [SV604: $i,SV443: $i,SV260: $i,SV53: $i] :
( ( ( le @ SV53 @ SV260 @ SV443 @ SV604 )
| ( le @ SV443 @ SV604 @ SV53 @ SV260 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1513,plain,
! [SV445: $i,SV262: $i,SV55: $i] :
( ( ( le @ SV55 @ SV262 @ SV55 @ SV445 )
= $true )
| ( ( ~ ( s_col @ SV55 @ SV262 @ SV445 )
| ~ ( s_t @ SV55 @ SV262 @ SV445 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1306]) ).
thf(1514,plain,
! [SV56: $i,SV446: $i,SV263: $i] :
( ( ( le @ SV263 @ SV446 @ SV56 @ SV446 )
= $true )
| ( ( ~ ( s_col @ SV56 @ SV263 @ SV446 )
| ~ ( s_t @ SV56 @ SV263 @ SV446 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1307]) ).
thf(1515,plain,
! [SV57: $i,SV264: $i,SV447: $i] :
( ( ( SV447 = SV264 )
= $true )
| ( ( ~ ( s_t @ SV57 @ SV264 @ SV447 )
| ~ ( s_e @ SV57 @ SV447 @ SV57 @ SV264 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1516,plain,
! [SV448: $i,SV265: $i,SV58: $i] :
( ( ( ~ ( s_col @ SV58 @ SV265 @ SV448 )
| ( s_t @ SV58 @ SV265 @ SV448 )
| ~ ( le @ SV58 @ SV265 @ SV58 @ SV448 ) )
= $true )
| ( ( ~ ( le @ SV265 @ SV448 @ SV58 @ SV448 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1517,plain,
! [SV449: $i,SV266: $i,SV59: $i] :
( ( ( sameside @ SV59 @ SV266 @ SV449 )
= $true )
| ( ( ! [SY2364: $i] :
( ( SY2364 = SV266 )
| ( SV59 = SV266 )
| ( SV449 = SV266 )
| ~ ( s_t @ SV59 @ SV266 @ SY2364 )
| ~ ( s_t @ SV449 @ SV266 @ SY2364 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1310]) ).
thf(1518,plain,
! [SV60: $i,SV267: $i,SV450: $i] :
( ( ( ! [SY2365: $i] :
( ( s_t @ SV450 @ SV267 @ SY2365 )
| ( SY2365 = SV267 )
| ( SV60 = SV267 )
| ( SV450 = SV267 )
| ~ ( s_t @ SV60 @ SV267 @ SY2365 ) ) )
= $true )
| ( ( ~ ( sameside @ SV60 @ SV267 @ SV450 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1519,plain,
! [SV61: $i,SV451: $i,SV268: $i,SV605: $i] :
( ( ( SV605 = SV268 )
| ( SV451 = SV268 )
| ( SV61 = SV268 )
| ( sameside @ SV61 @ SV268 @ SV451 )
| ~ ( s_t @ SV61 @ SV268 @ SV605 )
| ~ ( s_t @ SV451 @ SV268 @ SV605 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1520,plain,
! [SV452: $i,SV269: $i,SV62: $i] :
( ( ( s_t @ SV62 @ SV269 @ SV452 )
= $true )
| ( ( ( sameside @ SV62 @ SV269 @ SV452 )
| ~ ( s_col @ SV62 @ SV269 @ SV452 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1313]) ).
thf(1521,plain,
! [SV453: $i,SV271: $i,SV64: $i] :
( ( ( ~ ( sameside @ SV64 @ SV271 @ SV453 ) )
= $true )
| ( ( sameside @ SV453 @ SV271 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1315]) ).
thf(1522,plain,
! [SV454: $i,SV606: $i,SV272: $i,SV65: $i] :
( ( ( sameside @ SV65 @ SV272 @ SV606 )
| ~ ( sameside @ SV65 @ SV272 @ SV454 )
| ~ ( sameside @ SV454 @ SV272 @ SV606 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1523,plain,
! [SV607: $i,SV455: $i,SV273: $i,SV66: $i] :
( ( ! [SY2707: $i,SY2708: $i] :
( ( SY2707 = SY2708 )
| ( SV66 = SV273 )
| ( SV455 = SV607 )
| ~ ( sameside @ SY2707 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SY2707 @ SV455 @ SV607 )
| ~ ( sameside @ SY2708 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SY2708 @ SV455 @ SV607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1524,plain,
! [SV456: $i,SV67: $i,SV274: $i] :
( ( ( s_t @ SV274 @ SV67 @ SV456 )
= $true )
| ( ( ~ ( sameside @ SV67 @ SV274 @ SV456 )
| ~ ( le @ SV274 @ SV67 @ SV274 @ SV456 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1318]) ).
thf(1525,plain,
! [SV457: $i,SV275: $i,SV68: $i] :
( ( ( ~ ( sameside @ SV68 @ SV275 @ SV457 )
| ( le @ SV275 @ SV68 @ SV275 @ SV457 ) )
= $true )
| ( ( ~ ( s_t @ SV275 @ SV68 @ SV457 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1319]) ).
thf(1526,plain,
! [SV276: $i,SV458: $i,SV69: $i,SV608: $i] :
( ( ( sameside @ SV608 @ SV69 @ SV458 )
| ( sameside @ SV608 @ SV69 @ SV276 )
| ( SV608 = SV69 )
| ( SV69 = SV276 )
| ( SV69 = SV458 )
| ~ ( s_t @ SV276 @ SV69 @ SV458 )
| ~ ( s_col @ SV608 @ SV69 @ SV276 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1527,plain,
! [SV459: $i,SV277: $i,SV70: $i,SV609: $i] :
( ( ( s_col @ SV609 @ SV70 @ SV277 )
| ( SV70 = SV277 )
| ( SV70 = SV459 )
| ~ ( s_t @ SV277 @ SV70 @ SV459 )
| ~ ( sameside @ SV609 @ SV70 @ SV277 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1528,plain,
! [SV460: $i,SV278: $i,SV71: $i,SV610: $i] :
( ( ( s_col @ SV610 @ SV71 @ SV278 )
| ( SV71 = SV278 )
| ( SV71 = SV460 )
| ~ ( s_t @ SV278 @ SV71 @ SV460 )
| ~ ( sameside @ SV610 @ SV71 @ SV460 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1529,plain,
! [SV461: $i,SV279: $i,SV72: $i,SV611: $i] :
( ( ( s_col @ SV611 @ SV72 @ SV279 )
| ( SV611 != SV72 )
| ( SV72 = SV279 )
| ( SV72 = SV461 )
| ~ ( s_t @ SV279 @ SV72 @ SV461 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1530,plain,
! [SV73: $i,SV280: $i,SV612: $i,SV462: $i] :
( ( ( s_t @ SV462 @ SV612 @ SV280 )
| ( s_t @ SV612 @ SV462 @ SV280 )
| ( SV73 = SV280 )
| ~ ( s_t @ SV462 @ SV73 @ SV280 )
| ~ ( s_t @ SV612 @ SV73 @ SV280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1531,plain,
! [SV281: $i,SV613: $i,SV463: $i,SV74: $i] :
( ( ( s_col @ SV74 @ SV463 @ SV613 )
| ( SV74 = SV281 )
| ( SV463 = SV74 )
| ~ ( s_col @ SV74 @ SV281 @ SV463 )
| ~ ( s_col @ SV74 @ SV281 @ SV613 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1532,plain,
! [SV464: $i,SV76: $i,SV283: $i] :
( ( ( s_col @ SV283 @ SV76 @ SV464 )
= $true )
| ( ( ( SV76 = SV283 )
| ~ ( s_col @ SV76 @ SV283 @ SV464 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1533,plain,
! [SV614: $i,SV465: $i,SV284: $i,SV77: $i] :
( ( ! [SY2709: $i] :
( ( s_col @ SV77 @ SV284 @ SY2709 )
| ( SV77 = SV284 )
| ( SV465 = SV614 )
| ~ ( s_col @ SV465 @ SV614 @ SV77 )
| ~ ( s_col @ SV465 @ SV614 @ SV284 )
| ~ ( s_col @ SV465 @ SV614 @ SY2709 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1534,plain,
! [SV285: $i,SV78: $i,SV615: $i,SV466: $i] :
( ( ! [SY2710: $i,SY2711: $i,SY2712: $i] :
( ( s_col @ SV466 @ SV615 @ SY2712 )
| ( SY2710 = SY2711 )
| ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SY2710 )
| ~ ( s_col @ SV466 @ SV615 @ SY2710 )
| ~ ( s_col @ SV78 @ SV285 @ SY2711 )
| ~ ( s_col @ SV466 @ SV615 @ SY2711 )
| ~ ( s_col @ SV78 @ SV285 @ SY2712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1535,plain,
! [SV286: $i,SV79: $i] :
( ( ( s_col @ SV79 @ SV286 @ ( pointOffLine @ SV79 @ SV286 ) )
= $false )
| ( ( SV79 = SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1536,plain,
! [SV287: $i,SV616: $i,SV467: $i,SV80: $i] :
( ( ! [SY2713: $i,SY2714: $i] :
( ( s_e @ SV80 @ SV467 @ SV616 @ SY2714 )
| ~ ( sameside @ SV80 @ SV287 @ SV467 )
| ~ ( sameside @ SV616 @ SY2713 @ SY2714 )
| ~ ( s_e @ SV287 @ SV80 @ SY2713 @ SV616 )
| ~ ( s_e @ SV287 @ SV467 @ SY2713 @ SY2714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1537,plain,
! [SV468: $i,SV288: $i,SV81: $i] :
( ( ( ~ ( s_m @ SV81 @ SV288 @ SV468 ) )
= $true )
| ( ( s_m @ SV468 @ SV288 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1538,plain,
! [SV289: $i,SV82: $i] :
( ( ( s_m @ SV82 @ SV289 @ SV82 )
= $false )
| ( ( SV289 = SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1333]) ).
thf(1539,plain,
! [SV83: $i,SV290: $i] :
( ( ( SV290 = SV83 )
= $false )
| ( ( s_m @ SV83 @ SV290 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1540,plain,
! [SV292: $i,SV85: $i,SV617: $i,SV469: $i] :
( ( ( SV469 = SV617 )
| ~ ( s_m @ SV85 @ SV292 @ SV469 )
| ~ ( s_m @ SV85 @ SV292 @ SV617 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1541,plain,
! [SV470: $i,SV293: $i,SV86: $i] :
( ( ( ~ ( s_m @ SV86 @ SV293 @ SV470 ) )
= $true )
| ( ( SV470
= ( s @ SV293 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1336]) ).
thf(1542,plain,
! [SV471: $i,SV88: $i,SV618: $i,SV295: $i] :
( ( ( SV295 = SV618 )
| ( ( s @ SV88 @ SV295 )
!= SV471 )
| ( ( s @ SV88 @ SV618 )
!= SV471 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1543,plain,
! [SV472: $i,SV296: $i,SV89: $i] :
( ( ( ( s @ SV89 @ SV296 )
!= ( s @ SV89 @ SV472 ) )
= $true )
| ( ( SV296 = SV472 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1544,plain,
! [SV297: $i,SV90: $i] :
( ( ( ( s @ SV90 @ SV297 )
= SV297 )
= $false )
| ( ( SV297 = SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1545,plain,
! [SV91: $i,SV298: $i] :
( ( ( SV298 = SV91 )
= $false )
| ( ( ( s @ SV91 @ SV298 )
= SV298 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1546,plain,
! [SV474: $i,SV300: $i,SV93: $i] :
( ( ( ~ ( s_t @ SV93 @ SV300 @ SV474 ) )
= $true )
| ( ( ! [SY2388: $i] : ( s_t @ ( s @ SY2388 @ SV93 ) @ ( s @ SY2388 @ SV300 ) @ ( s @ SY2388 @ SV474 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1547,plain,
! [SV475: $i,SV301: $i,SV94: $i] :
( ( ( s_t @ SV94 @ SV301 @ SV475 )
= $true )
| ( ( ! [SY2389: $i] :
~ ( s_t @ ( s @ SY2389 @ SV94 ) @ ( s @ SY2389 @ SV301 ) @ ( s @ SY2389 @ SV475 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1343]) ).
thf(1548,plain,
! [SV619: $i,SV476: $i,SV302: $i,SV95: $i] :
( ( ~ ( s_e @ SV95 @ SV302 @ SV476 @ SV619 )
| ! [SY2715: $i] : ( s_e @ ( s @ SY2715 @ SV95 ) @ ( s @ SY2715 @ SV302 ) @ ( s @ SY2715 @ SV476 ) @ ( s @ SY2715 @ SV619 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1549,plain,
! [SV620: $i,SV477: $i,SV303: $i,SV96: $i] :
( ( ( s_e @ SV96 @ SV303 @ SV477 @ SV620 )
| ! [SY2716: $i] :
~ ( s_e @ ( s @ SY2716 @ SV96 ) @ ( s @ SY2716 @ SV303 ) @ ( s @ SY2716 @ SV477 ) @ ( s @ SY2716 @ SV620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1550,plain,
! [SV478: $i,SV97: $i,SV621: $i,SV304: $i] :
( ( ( SV304 = SV621 )
| ~ ( s_m @ SV97 @ SV304 @ SV478 )
| ~ ( s_m @ SV97 @ SV621 @ SV478 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1551,plain,
! [SV479: $i,SV305: $i,SV98: $i] :
( ( ( ( s @ SV98 @ SV305 )
!= ( s @ SV479 @ SV305 ) )
= $true )
| ( ( SV98 = SV479 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1347]) ).
thf(1552,plain,
! [SV622: $i,SV306: $i,SV99: $i] :
( ( ( ( s @ SV99 @ ( s @ SV306 @ SV622 ) )
!= ( s @ SV306 @ ( s @ SV99 @ SV622 ) ) )
= $true )
| ( ( SV99 = SV306 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1553,plain,
! [SV480: $i,SV307: $i,SV100: $i] :
( ( ( s_m @ SV100 @ SV307 @ SV480 )
= $true )
| ( ( ( SV100 = SV480 )
| ~ ( s_col @ SV100 @ SV307 @ SV480 )
| ~ ( s_e @ SV307 @ SV100 @ SV307 @ SV480 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1554,plain,
! [SV623: $i,SV308: $i,SV481: $i,SV101: $i] :
( ( ! [SY2717: $i] :
( ( s_m @ SV101 @ SY2717 @ SV481 )
| ( SV308 = SV623 )
| ( s_col @ SV101 @ SV308 @ SV481 )
| ~ ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
| ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 )
| ~ ( s_col @ SV101 @ SY2717 @ SV481 )
| ~ ( s_col @ SV308 @ SY2717 @ SV623 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1555,plain,
! [SV624: $i,SV482: $i,SV309: $i,SV102: $i] :
( ( ! [SY2718: $i,SY2719: $i,SY2720: $i] :
( ~ ( s_kf @ SV102 @ SV309 @ SV482 @ SV624 @ SY2718 @ SY2719 @ SY2720 )
| ( s_t @ SV309 @ SV624 @ SY2719 )
| ~ ( le @ SV624 @ SV102 @ SV624 @ SY2720 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1556,plain,
! [SV625: $i,SV483: $i,SV310: $i,SV103: $i] :
( ( ! [SY2721: $i,SY2722: $i] :
( ! [SY2723: $i] :
~ ( s_kf @ SV103 @ SV310 @ SV483 @ SV625 @ SY2721 @ SY2722 @ SY2723 )
| ( s_t @ SV310 @ SV625 @ SY2722 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1557,plain,
! [SV626: $i,SV484: $i,SV104: $i,SV311: $i] :
( ( ! [SY2724: $i,SY2725: $i,SY2726: $i] :
( ( s_t @ SY2725 @ SV311 @ SY2726 )
| ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SY2724 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
| ~ ( s_e @ SV311 @ SV484 @ SV311 @ SY2724 )
| ~ ( s_m @ SV104 @ SY2725 @ SV626 )
| ~ ( s_m @ SV484 @ SY2726 @ SY2724 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1558,plain,
! [SV485: $i,SV312: $i,SV105: $i] :
( ( ( ~ ( s_e @ SV105 @ SV312 @ SV105 @ SV485 ) )
= $true )
| ( ( s_m @ SV312 @ ( isomidpoint @ SV312 @ SV485 @ SV105 ) @ SV485 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1354]) ).
thf(1559,plain,
! [SV486: $i,SV313: $i,SV106: $i] :
( ( ( ~ ( s_r @ SV106 @ SV313 @ SV486 ) )
= $true )
| ( ( s_r @ SV486 @ SV313 @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1355]) ).
thf(1560,plain,
! [SV107: $i,SV487: $i,SV314: $i,SV627: $i] :
( ( ( s_r @ SV627 @ SV314 @ SV487 )
| ~ ( s_r @ SV107 @ SV314 @ SV487 )
| ( SV107 = SV314 )
| ~ ( s_col @ SV314 @ SV107 @ SV627 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1561,plain,
! [SV488: $i,SV315: $i,SV108: $i] :
( ( ( ~ ( s_r @ SV108 @ SV315 @ SV488 ) )
= $true )
| ( ( s_r @ SV108 @ SV315 @ ( s @ SV315 @ SV488 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1357]) ).
thf(1562,plain,
! [SV110: $i,SV489: $i,SV317: $i] :
( ( ( SV317 = SV489 )
= $true )
| ( ( ! [SY2410: $i] :
( ~ ( s_r @ SV110 @ SV317 @ SV489 )
| ~ ( s_r @ SY2410 @ SV317 @ SV489 )
| ~ ( s_t @ SV110 @ SV489 @ SY2410 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1358]) ).
thf(1563,plain,
! [SV111: $i,SV490: $i,SV318: $i] :
( ( ( SV318 = SV490 )
= $true )
| ( ( ~ ( s_r @ SV111 @ SV318 @ SV490 )
| ~ ( s_r @ SV111 @ SV490 @ SV318 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1359]) ).
thf(1564,plain,
! [SV319: $i,SV112: $i] :
( ( ( s_r @ SV112 @ SV319 @ SV112 )
= $false )
| ( ( SV112 = SV319 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1565,plain,
! [SV113: $i,SV320: $i,SV491: $i] :
( ( ( SV491 = SV320 )
= $true )
| ( ( ( SV113 = SV320 )
| ~ ( s_r @ SV113 @ SV320 @ SV491 )
| ~ ( s_col @ SV113 @ SV320 @ SV491 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1361]) ).
thf(1566,plain,
! [SV492: $i,SV321: $i,SV114: $i,SV628: $i] :
( ( ! [SY2727: $i,SY2728: $i] :
( ( s_r @ SV628 @ SY2727 @ SY2728 )
| ~ ( s_r @ SV114 @ SV321 @ SV492 )
| ~ ( s_e3 @ SV114 @ SV321 @ SV492 @ SV628 @ SY2727 @ SY2728 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1567,plain,
! [SV629: $i,SV493: $i,SV322: $i,SV115: $i] :
( ( ! [SY2729: $i] :
( ~ ( perpAt @ SV115 @ SV322 @ SV493 @ SV629 @ SY2729 )
| ( perpAt @ SV629 @ SY2729 @ SV493 @ SV115 @ SV322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1568,plain,
! [SV630: $i,SV494: $i,SV323: $i,SV116: $i] :
( ( ~ ( perp @ SV116 @ SV323 @ SV494 @ SV630 )
| ( perp @ SV494 @ SV630 @ SV116 @ SV323 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1569,plain,
! [SV631: $i,SV495: $i,SV324: $i,SV117: $i] :
( ( ! [SY2730: $i] :
( ( perpAt @ SV117 @ SV324 @ SY2730 @ SV495 @ SV631 )
| ! [SY2731: $i,SY2732: $i] :
( ( SY2730 = SY2732 )
| ( SY2730 = SY2731 )
| ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SY2730 )
| ~ ( s_col @ SV117 @ SV324 @ SY2730 )
| ~ ( s_col @ SV117 @ SV324 @ SY2731 )
| ~ ( s_col @ SV495 @ SV631 @ SY2732 )
| ~ ( s_r @ SY2731 @ SY2730 @ SY2732 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1570,plain,
! [SV632: $i,SV496: $i,SV325: $i,SV118: $i] :
( ( ~ ( perp @ SV118 @ SV325 @ SV496 @ SV632 )
| ~ ( s_col @ SV118 @ SV325 @ SV496 )
| ~ ( s_col @ SV118 @ SV325 @ SV632 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1571,plain,
! [SV633: $i,SV497: $i,SV326: $i,SV119: $i] :
( ( ! [SY2733: $i] :
( ( perpAt @ SV119 @ SV326 @ SY2733 @ SV497 @ SV633 )
| ~ ( perp @ SV119 @ SV326 @ SV497 @ SV633 )
| ~ ( s_col @ SV119 @ SV326 @ SY2733 )
| ~ ( s_col @ SV497 @ SV633 @ SY2733 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1572,plain,
! [SV634: $i,SV498: $i,SV327: $i,SV120: $i] :
( ( ! [SY2734: $i] :
( ~ ( perpAt @ SV120 @ SV327 @ SV498 @ SV634 @ SY2734 )
| ( SV498
= ( il @ SV120 @ SV327 @ SV634 @ SY2734 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1573,plain,
! [SV635: $i,SV499: $i,SV328: $i,SV121: $i] :
( ( ( perpAt @ SV121 @ SV328 @ SV499 @ SV635 @ SV499 )
| ( SV121 = SV328 )
| ~ ( s_col @ SV121 @ SV328 @ SV499 )
| ~ ( perp @ SV121 @ SV328 @ SV635 @ SV499 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1574,plain,
! [SV636: $i,SV500: $i,SV329: $i,SV122: $i] :
( ( ! [SY2735: $i] :
( ( s_col @ SV122 @ SV329 @ SY2735 )
| ( perp @ SV122 @ SV329 @ SY2735 @ SV500 )
| ( SV636 = SV500 )
| ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SV500 )
| ~ ( s_col @ SV122 @ SV329 @ SV636 )
| ~ ( s_r @ SY2735 @ SV500 @ SV636 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1575,plain,
! [SV501: $i,SV330: $i,SV123: $i,SV637: $i] :
( ( ! [SY2736: $i] :
( ( SV637 = SY2736 )
| ( s_col @ SV123 @ SV330 @ SV501 )
| ~ ( s_col @ SV123 @ SV330 @ SV637 )
| ~ ( s_col @ SV123 @ SV330 @ SY2736 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SY2736 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1576,plain,
! [SV502: $i,SV638: $i,SV124: $i,SV331: $i] :
( ( ( s_r @ SV331 @ SV124 @ SV638 )
| ~ ( s_r @ SV124 @ SV331 @ SV502 )
| ~ ( s_m @ ( s @ SV124 @ SV502 ) @ SV638 @ ( s @ SV331 @ SV502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1577,plain,
! [SV503: $i,SV332: $i,SV639: $i,SV125: $i] :
( ( ( SV125 != SV639 )
| ( SV332 = SV503 )
| ~ ( s_r @ SV125 @ SV332 @ SV503 )
| ~ ( s_m @ ( s @ SV125 @ SV503 ) @ SV639 @ ( s @ SV332 @ SV503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1578,plain,
! [SV640: $i,SV504: $i,SV333: $i,SV126: $i] :
( ( ~ ( perp @ SV126 @ SV333 @ SV504 @ SV640 )
| ( perp @ SV333 @ SV126 @ SV504 @ SV640 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1579,plain,
! [SV641: $i,SV505: $i,SV334: $i,SV127: $i] :
( ( ! [SY2737: $i] :
( ( s_col @ SV127 @ SV334 @ SY2737 )
| ( SV127 = SV334 )
| ( SV505 = SV641 )
| ~ ( s_col @ SV127 @ SV334 @ SV505 )
| ~ ( s_col @ SV127 @ SV334 @ SV641 )
| ~ ( s_col @ SV505 @ SV641 @ SY2737 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1580,plain,
! [SV642: $i,SV335: $i,SV506: $i,SV128: $i] :
( ( ! [SY2738: $i] :
( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SY2738 ) @ SV506 )
| ~ ( le @ SV128 @ SV335 @ SV506 @ SV642 )
| ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
| ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 )
| ~ ( s_t @ SV335 @ SY2738 @ SV642 )
| ~ ( s_col @ SV128 @ SV506 @ SY2738 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1581,plain,
! [SV643: $i,SV130: $i,SV507: $i,SV337: $i] :
( ( ! [SY2739: $i,SY2740: $i,SY2741: $i] :
( ( s_m @ SV337 @ SY2741 @ SV507 )
| ( SY2741
!= ( ip @ SV130 @ SY2739 @ SV643 @ SV507 @ SY2740 ) )
| ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SY2739 )
| ~ ( s_t @ SV130 @ SY2739 @ SV643 )
| ~ ( s_t @ SV507 @ SY2740 @ SV643 )
| ~ ( s_e @ SV337 @ SV130 @ SV507 @ SY2740 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1582,plain,
! [SV338: $i,SV508: $i,SV644: $i,SV131: $i] :
( ( ! [SY2742: $i,SY2743: $i,SY2744: $i] :
( ( s_m @ SV131 @ SY2744 @ SY2743 )
| ( SY2744
!= ( ip @ SV131 @ SY2742 @ SV644 @ SV508 @ SY2743 ) )
| ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SY2742 )
| ~ ( s_t @ SV131 @ SY2742 @ SV644 )
| ~ ( s_t @ SV508 @ SY2743 @ SV644 )
| ~ ( s_e @ SV338 @ SV131 @ SV508 @ SY2743 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1583,plain,
! [SV645: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ! [SY2745: $i,SY2746: $i] :
( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SY2746 )
| ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
| ~ ( s_col @ SV339 @ SV509 @ SY2745 )
| ~ ( s_t @ SV132 @ SY2745 @ SV645 )
| ~ ( s_t @ SV509 @ SY2746 @ SV645 )
| ~ ( s_e @ SV339 @ SV132 @ SV509 @ SY2746 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1584,plain,
! [SV340: $i,SV646: $i,SV510: $i,SV133: $i] :
( ( ( s_col @ SV133 @ SV510 @ SV646 )
| ( SV133 = SV340 )
| ~ ( s_col @ SV133 @ SV340 @ SV510 )
| ~ ( s_col @ SV133 @ SV340 @ SV646 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1585,plain,
! [SV647: $i,SV511: $i,SV341: $i,SV134: $i] :
( ( ! [SY2747: $i,SY2748: $i,SY2749: $i] :
( ( perpAt @ SV134 @ SV341 @ SY2747 @ SY2748 @ SY2749 )
| ( SV134 = SV341 )
| ( SV511 = SV647 )
| ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SV647 )
| ~ ( perpAt @ SV511 @ SV647 @ SY2747 @ SY2748 @ SY2749 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1586,plain,
! [SV648: $i,SV512: $i,SV342: $i,SV135: $i] :
( ( ! [SY2750: $i,SY2751: $i] :
( ( perp @ SV135 @ SV342 @ SY2750 @ SY2751 )
| ( SV135 = SV342 )
| ( SV512 = SV648 )
| ~ ( s_col @ SV135 @ SV342 @ SV512 )
| ~ ( s_col @ SV135 @ SV342 @ SV648 )
| ~ ( perp @ SV512 @ SV648 @ SY2750 @ SY2751 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1587,plain,
! [SV513: $i,SV649: $i,SV136: $i,SV343: $i] :
( ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
| ( SV136 = SV649 )
| ( SV649 = SV513 )
| ( SV343 = SV513 )
| ( SV136 = SV343 )
| ( SV136 = SV513 )
| ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 )
| ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1588,plain,
! [SV650: $i,SV514: $i,SV344: $i,SV137: $i] :
( ( ~ ( perp @ SV137 @ SV344 @ SV514 @ SV650 )
| ( perp @ SV137 @ SV344 @ SV650 @ SV514 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1589,plain,
! [SV345: $i,SV138: $i,SV651: $i,SV515: $i] :
( ( ! [SY2752: $i,SY2753: $i] :
( ( perp @ SV515 @ SV651 @ SY2752 @ SY2753 )
| ( SV138 = SV345 )
| ( SV515 = SV651 )
| ~ ( s_col @ SV138 @ SV345 @ SV515 )
| ~ ( s_col @ SV138 @ SV345 @ SV651 )
| ~ ( perp @ SV138 @ SV345 @ SY2752 @ SY2753 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1590,plain,
( ( ( xp = xq )
= $true )
| ( ( ~ ( s_col @ xa @ xb @ xp )
| ~ ( s_col @ xa @ xb @ xq ) )
= $true )
| ( ( xa = xb )
= $true )
| ( ( perp @ xc @ xd @ xp @ xq )
= $true )
| ( ( ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1591,plain,
! [SV346: $i,SV516: $i,SV139: $i,SV652: $i] :
( ( ! [SY2754: $i] :
( ( samesideline @ SV652 @ SY2754 @ SV139 @ SV516 )
| ( SV139 = SV516 )
| ~ ( s_col @ SV139 @ SV346 @ SV516 )
| ( SV139 = SV346 )
| ~ ( samesideline @ SV652 @ SY2754 @ SV139 @ SV346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1592,plain,
! [SV140: $i,SV347: $i,SV653: $i,SV517: $i] :
( ( ( samesideline @ SV517 @ SV653 @ SV347 @ SV140 )
| ( SV140 = SV347 )
| ~ ( samesideline @ SV517 @ SV653 @ SV140 @ SV347 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1593,plain,
! [SV654: $i,SV518: $i,SV348: $i,SV141: $i] :
( ( ~ ( opposite @ SV141 @ SV348 @ SV518 @ SV654 )
| ( opposite @ SV654 @ SV348 @ SV518 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1594,plain,
! [SV142: $i,SV655: $i,SV519: $i,SV349: $i] :
( ( ! [SY2755: $i,SY2756: $i,SY2757: $i] :
( ( opposite @ SY2757 @ SV349 @ SV519 @ SV655 )
| ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SY2755 )
| ~ ( s_m @ SV142 @ SY2755 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SY2756 )
| ~ ( sameside @ SV142 @ SY2756 @ SY2757 )
| ~ ( s_t @ SY2756 @ SY2757 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1595,plain,
! [SV143: $i,SV656: $i,SV520: $i,SV350: $i] :
( ( ! [SY2758: $i,SY2759: $i,SY2760: $i] :
( ( opposite @ SY2760 @ SV350 @ SV520 @ SV656 )
| ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SY2758 )
| ~ ( s_m @ SV143 @ SY2758 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SY2759 )
| ~ ( sameside @ SV143 @ SY2759 @ SY2760 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1596,plain,
! [SV521: $i,SV351: $i,SV144: $i] :
( ( ( ~ ( sameside @ SV144 @ SV351 @ SV521 ) )
= $true )
| ( ( ! [SY2474: $i] : ( sameside @ ( s @ SY2474 @ SV144 ) @ ( s @ SY2474 @ SV351 ) @ ( s @ SY2474 @ SV521 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1597,plain,
! [SV522: $i,SV352: $i,SV145: $i,SV657: $i] :
( ( ! [SY2761: $i,SY2762: $i,SY2763: $i,SY2764: $i] :
( ( sameside @ ( s @ SY2763 @ SY2764 ) @ SY2761 @ SV657 )
| ( SY2762 = SY2761 )
| ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SY2761 )
| ~ ( s_col @ SV352 @ SV522 @ SY2762 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SY2762 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SY2761 )
| ~ ( s_m @ SY2762 @ SY2763 @ SY2761 )
| ~ ( sameside @ SY2764 @ SY2762 @ SV145 )
| ~ ( le @ SY2761 @ SV657 @ SY2762 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1598,plain,
! [SV658: $i,SV523: $i,SV353: $i,SV146: $i] :
( ( ! [SY2765: $i,SY2766: $i,SY2767: $i,SY2768: $i] :
( ( SY2766 = SY2765 )
| ( sameside @ SY2768 @ SY2766 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SY2765 )
| ~ ( s_col @ SV353 @ SV523 @ SY2766 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SY2766 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SY2765 )
| ~ ( s_m @ SY2766 @ SY2767 @ SY2765 )
| ~ ( le @ SY2765 @ SV658 @ SY2766 @ SV146 )
| ~ ( sameside @ ( s @ SY2767 @ SY2768 ) @ SY2765 @ SV658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1599,plain,
! [SV524: $i,SV354: $i,SV147: $i,SV659: $i] :
( ( ! [SY2769: $i,SY2770: $i,SY2771: $i,SY2772: $i] :
( ( sameside @ ( s @ SY2771 @ SY2772 ) @ SY2769 @ SV659 )
| ( SY2770 != SY2769 )
| ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SY2769 )
| ~ ( s_col @ SV354 @ SV524 @ SY2770 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SY2770 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SY2769 )
| ~ ( s_m @ SY2770 @ SY2771 @ SY2769 )
| ~ ( sameside @ SY2772 @ SY2770 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1600,plain,
! [SV525: $i,SV355: $i,SV148: $i,SV660: $i] :
( ( ! [SY2773: $i,SY2774: $i,SY2775: $i,SY2776: $i] :
( ( sameside @ ( s @ SY2775 @ SY2776 ) @ SY2773 @ SV660 )
| ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SY2773 )
| ~ ( s_col @ SV355 @ SV525 @ SY2774 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SY2774 )
| ~ ( perp @ SV355 @ SV525 @ SV660 @ SY2773 )
| ~ ( s_m @ SY2774 @ SY2775 @ SY2773 )
| ~ ( sameside @ SY2776 @ SY2774 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1601,plain,
! [SV661: $i,SV149: $i,SV526: $i,SV356: $i] :
( ( ! [SY2777: $i,SY2778: $i,SY2779: $i,SY2780: $i,SY2781: $i] :
( ( opposite @ SY2780 @ SV356 @ SV526 @ SY2781 )
| ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SY2777 )
| ~ ( s_col @ SV356 @ SV526 @ SY2778 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SY2778 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SY2777 )
| ~ ( s_m @ SY2778 @ SY2779 @ SY2777 )
| ~ ( sameside @ SY2780 @ SY2778 @ SV149 )
| ~ ( sameside @ SY2781 @ SY2777 @ SV661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1602,plain,
! [SV150: $i,SV662: $i,SV527: $i,SV357: $i] :
( ( ! [SY2782: $i,SY2783: $i] :
( ( opposite @ SY2783 @ SV357 @ SV527 @ SV662 )
| ~ ( opposite @ SV150 @ SV357 @ SV527 @ SV662 )
| ~ ( s_col @ SV357 @ SV527 @ SY2782 )
| ~ ( sameside @ SV150 @ SY2782 @ SY2783 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1603,plain,
! [SV663: $i,SV528: $i,SV358: $i,SV151: $i] :
( ( ! [SY2784: $i] :
( ~ ( opposite @ SV151 @ SV358 @ SV528 @ SV663 )
| ( opposite @ SY2784 @ SV358 @ SV528 @ SV663 )
| ~ ( samesideline @ SV151 @ SY2784 @ SV358 @ SV528 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1604,plain,
! [SV664: $i,SV529: $i,SV359: $i,SV152: $i] :
( ( ~ ( opposite @ SV152 @ SV359 @ SV529 @ SV664 )
| ~ ( samesideline @ SV152 @ SV664 @ SV359 @ SV529 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(1605,plain,
! [SV665: $i,SV360: $i,SV153: $i,SV530: $i] :
( ( ! [SY2785: $i] :
( ( samesideline @ SV530 @ SY2785 @ SV153 @ SV360 )
| ( SV153 = SV360 )
| ~ ( samesideline @ SV530 @ SV665 @ SV153 @ SV360 )
| ~ ( samesideline @ SV665 @ SY2785 @ SV153 @ SV360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1606,plain,
! [SV666: $i,SV531: $i,SV361: $i,SV154: $i] :
( ( ~ ( samesideline @ SV154 @ SV361 @ SV531 @ SV666 )
| ( samesideline @ SV154 @ SV361 @ SV666 @ SV531 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1607,plain,
! [SV532: $i,SV667: $i,SV362: $i,SV155: $i] :
( ( ( s_col @ SV155 @ SV362 @ SV667 )
| ! [SY2786: $i] :
( ( SV155 = SV362 )
| ~ ( s_m @ SV532 @ SV667 @ SY2786 )
| ~ ( s_col @ SV155 @ SV362 @ SV532 )
| ~ ( s_col @ SV155 @ SV362 @ SY2786 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(1608,plain,
! [SV533: $i,SV363: $i,SV156: $i,SV668: $i] :
( ( ! [SY2787: $i] :
( ( samesideline @ SV668 @ SY2787 @ SV156 @ SV363 )
| ( SV156 = SV363 )
| ~ ( s_t @ SV363 @ SV156 @ SV533 )
| ~ ( samesideline @ SV668 @ SY2787 @ SV533 @ SV363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1609,plain,
! [SV364: $i,SV157: $i,SV534: $i,SV669: $i] :
( ( ( samesideline @ SV669 @ SV534 @ SV157 @ SV364 )
| ( SV157 = SV364 )
| ~ ( samesideline @ SV534 @ SV669 @ SV157 @ SV364 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(1610,plain,
! [SV670: $i,SV535: $i,SV365: $i,SV158: $i] :
( ( ! [SY2788: $i] :
( ( opposite @ SV158 @ SV365 @ SV535 @ SY2788 )
| ~ ( opposite @ SV158 @ SV365 @ SV535 @ SV670 )
| ~ ( samesideline @ SV670 @ SY2788 @ SV365 @ SV535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1611,plain,
! [SV366: $i,SV159: $i,SV671: $i,SV536: $i] :
( ( ! [SY2789: $i] :
( ( s_col @ SV536 @ SV671 @ SY2789 )
| ( SV671 = SV536 )
| ( SV159 = SV366 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV671 @ SV536 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SY2789 @ SV536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1612,plain,
! [SV537: $i,SV367: $i,SV160: $i] :
( ( ( SV160
!= ( foot @ SV160 @ SV367 @ SV537 ) )
= $true )
| ( ( ! [SY2519: $i] :
( ( opposite @ SV537 @ SV160 @ SV367 @ SY2519 )
| ( samesideline @ SV537 @ SY2519 @ SV160 @ SV367 )
| ( s_col @ SV160 @ SV367 @ SY2519 )
| ( SV160 = SV367 )
| ( s_col @ SV160 @ SV367 @ SV537 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1613,plain,
! [SV538: $i,SV368: $i,SV161: $i] :
( ( ( SV161
= ( foot @ SV161 @ SV368 @ SV538 ) )
= $true )
| ( ( ! [SY2520: $i] :
( ( opposite @ SV538 @ SV161 @ SV368 @ SY2520 )
| ( samesideline @ SV538 @ SY2520 @ SV161 @ SV368 )
| ( s_col @ SV161 @ SV368 @ SY2520 )
| ( SV161 = SV368 )
| ( s_col @ SV161 @ SV368 @ SV538 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1614,plain,
! [SV672: $i,SV369: $i,SV162: $i,SV539: $i] :
( ( ( opposite @ SV539 @ SV162 @ SV369 @ SV672 )
| ( samesideline @ SV539 @ SV672 @ SV162 @ SV369 )
| ( s_col @ SV162 @ SV369 @ SV672 )
| ( SV162 = SV369 )
| ( s_col @ SV162 @ SV369 @ SV539 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(1615,plain,
! [SV163: $i,SV673: $i,SV540: $i,SV370: $i] :
( ( ! [SY2790: $i] :
( ( samesideline @ SY2790 @ SV370 @ SV540 @ SV673 )
| ~ ( samesideline @ SV163 @ SV370 @ SV540 @ SV673 )
| ~ ( sameside @ SV163 @ SV673 @ SY2790 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1616,plain,
! [SV541: $i,SV371: $i,SV164: $i,SV674: $i] :
( ( ! [SY2791: $i] :
( ( samesideline @ SV674 @ SY2791 @ SV164 @ SV371 )
| ( s_col @ SV164 @ SV371 @ SV674 )
| ( SV164 = SV371 )
| ~ ( s_col @ SV164 @ SV371 @ SV541 )
| ~ ( s_col @ SV674 @ SY2791 @ SV541 )
| ~ ( sameside @ SV674 @ SV541 @ SY2791 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1617,plain,
! [SV542: $i,SV675: $i,SV372: $i,SV165: $i] :
( ( ( ( reflect @ SV165 @ SV372 @ SV675 )
= SV542 )
| ( ( reflect @ SV165 @ SV372 @ SV542 )
!= SV675 )
| ( SV165 = SV372 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1618,plain,
! [SV676: $i,SV373: $i,SV166: $i] :
( ( ( ( reflect @ SV166 @ SV373 @ ( reflect @ SV166 @ SV373 @ SV676 ) )
= SV676 )
= $true )
| ( ( SV166 = SV373 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1619,plain,
! [SV677: $i,SV374: $i,SV167: $i,SV543: $i] :
( ( ( SV543
= ( reflect @ SV167 @ SV374 @ SV677 ) )
| ( ( reflect @ SV167 @ SV374 @ SV543 )
!= SV677 )
| ( SV167 = SV374 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(1620,plain,
! [SV375: $i,SV168: $i,SV678: $i,SV544: $i] :
( ( ( SV544 = SV678 )
| ( ( reflect @ SV168 @ SV375 @ SV544 )
!= ( reflect @ SV168 @ SV375 @ SV678 ) )
| ( SV168 = SV375 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1621,plain,
! [SV545: $i,SV376: $i,SV169: $i] :
( ( ( s_col @ SV169 @ SV376 @ SV545 )
= $true )
| ( ( ( ( reflect @ SV169 @ SV376 @ SV545 )
!= SV545 )
| ( SV169 = SV376 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1622,plain,
! [SV546: $i,SV377: $i,SV170: $i] :
( ( ( ( reflect @ SV170 @ SV377 @ SV546 )
= SV546 )
= $true )
| ( ( ( SV170 = SV377 )
| ~ ( s_col @ SV170 @ SV377 @ SV546 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1418]) ).
thf(1623,plain,
! [SV378: $i,SV171: $i,SV547: $i] :
( ( ( ! [SY2529: $i] : ( s_e @ SV547 @ SY2529 @ ( reflect @ SV171 @ SV378 @ SV547 ) @ ( reflect @ SV171 @ SV378 @ SY2529 ) ) )
= $true )
| ( ( ( SV171 = SV378 )
| ~ ( s_col @ SV171 @ SV378 @ SV547 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1624,plain,
! [SV379: $i,SV172: $i,SV679: $i] :
( ( ( ! [SY2792: $i] : ( s_e @ SV679 @ SY2792 @ ( reflect @ SV172 @ SV379 @ SV679 ) @ ( reflect @ SV172 @ SV379 @ SY2792 ) ) )
= $true )
| ( ( SV172 = SV379 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1625,plain,
! [SV380: $i,SV680: $i,SV548: $i,SV173: $i] :
( ( ( s_e @ SV173 @ SV548 @ SV680 @ SV548 )
| ~ ( s_r @ SV173 @ SV380 @ SV548 )
| ~ ( s_r @ SV680 @ SV380 @ SV548 )
| ~ ( s_e @ SV173 @ SV380 @ SV680 @ SV380 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(1626,plain,
! [SV681: $i,SV174: $i,SV381: $i,SV549: $i] :
( ( ! [SY2793: $i] :
( ( SV549 = SY2793 )
| ( SV381
!= ( midpoint @ SV549 @ SY2793 ) )
| ( s_e @ SV174 @ SV549 @ SV681 @ SY2793 )
| ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SV681 @ SV381 @ SY2793 )
| ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 )
| ~ ( s_e @ SV381 @ SV549 @ SV381 @ SY2793 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1627,plain,
! [SV382: $i,SV682: $i,SV550: $i,SV175: $i] :
( ( ! [SY2794: $i] :
( ( s_e @ SV175 @ SV550 @ SV682 @ SY2794 )
| ~ ( s_r @ SV175 @ SV382 @ SV550 )
| ~ ( s_r @ SV682 @ SV382 @ SY2794 )
| ~ ( s_e @ SV175 @ SV382 @ SV682 @ SV382 )
| ~ ( s_e @ SV382 @ SV550 @ SV382 @ SY2794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1423]) ).
thf(1628,plain,
! [SV383: $i,SV683: $i,SV551: $i,SV176: $i] :
( ( ! [SY2795: $i,SY2796: $i] :
( ( s_e @ SV176 @ SV551 @ SV683 @ SY2796 )
| ~ ( s_r @ SV176 @ SV383 @ SV551 )
| ~ ( s_r @ SV683 @ SY2795 @ SY2796 )
| ~ ( s_e @ SV176 @ SV383 @ SV683 @ SY2795 )
| ~ ( s_e @ SV383 @ SV551 @ SY2795 @ SY2796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(1629,plain,
! [SV684: $i,SV552: $i,SV384: $i,SV177: $i] :
( ( ( insert @ SV177 @ SV384 @ SV552 @ SV684 )
= ( ext @ ( ext @ SV684 @ SV552 @ alpha @ gamma ) @ SV552 @ SV177 @ SV384 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(1630,plain,
! [SV178: $i,SV385: $i] :
( ( ~ ! [SY2129: $i,SY2130: $i] : ( s_e @ SV385 @ ( ext @ SV178 @ SV385 @ SY2129 @ SY2130 ) @ SY2129 @ SY2130 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1631,plain,
! [SV385: $i,SV178: $i] :
( ( ~ ! [SY2131: $i,SY2132: $i] : ( s_t @ SV178 @ SV385 @ ( ext @ SV178 @ SV385 @ SY2131 @ SY2132 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1632,plain,
! [SV386: $i,SV179: $i] :
( ( ~ ! [SY2133: $i,SY2134: $i] :
( ( SY2134
= ( reflect @ SV179 @ SV386 @ SY2133 ) )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SY2133 @ SY2134 ) )
| ~ ( perp @ SV179 @ SV386 @ SY2133 @ SY2134 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1633,plain,
! [SV386: $i,SV179: $i] :
( ( ~ ! [SY2135: $i,SY2136: $i] :
( ( SY2136
= ( reflect @ SV179 @ SV386 @ SY2135 ) )
| ( SY2135 != SY2136 )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SY2135 @ SY2136 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1634,plain,
( ( ~ ~ ( s_t @ alpha @ beta @ gamma )
| ~ ~ ( s_t @ beta @ gamma @ alpha ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1635,plain,
( ( s_t @ gamma @ alpha @ beta )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1636,plain,
! [SV180: $i] :
( ( ~ ( ~ ! [SY1492: $i] :
( ( SV180 = SY1492 )
| ! [SY1493: $i] : ( perp @ SV180 @ SY1492 @ ( erect @ SV180 @ SY1492 @ SY1493 ) @ SV180 ) )
| ~ ! [SY1494: $i] :
( ( SV180 = SY1494 )
| ! [SY1495: $i] : ( s_col @ SV180 @ SY1494 @ ( erectAux @ SV180 @ SY1494 @ SY1495 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1637,plain,
! [SV180: $i] :
( ( ! [SY1496: $i] :
( ( SV180 = SY1496 )
| ! [SY1497: $i] : ( s_t @ SY1497 @ ( erectAux @ SV180 @ SY1496 @ SY1497 ) @ ( erect @ SV180 @ SY1496 @ SY1497 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1638,plain,
! [SV387: $i,SV181: $i] :
( ( ~ ~ ( ~ ! [SY2137: $i,SY2138: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2137 @ SY2138 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SY2137 @ SY2138 @ SV181 @ SV387 ) ) )
| ~ ! [SY2139: $i,SY2140: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2139 @ SY2140 )
| ( s_e @ SV181 @ ( ins @ SY2139 @ SY2140 @ SV181 @ SV387 ) @ SY2139 @ SY2140 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1432]) ).
thf(1639,plain,
! [SV387: $i,SV181: $i] :
( ( ~ ! [SY2141: $i,SY2142: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2141 @ SY2142 )
| ( ( ins @ SY2141 @ SY2142 @ SV181 @ SV387 )
= ( ext @ SV181 @ SV387 @ ( insert @ SV181 @ SV387 @ SY2141 @ SY2142 ) @ SY2142 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1432]) ).
thf(1640,plain,
! [SV182: $i] :
( ( ~ ( ~ ! [SY1505: $i,SY1506: $i] :
( ~ ( s_m @ SV182 @ SY1505 @ SY1506 )
| ( s_t @ SV182 @ SY1505 @ SY1506 ) )
| ~ ! [SY1507: $i,SY1508: $i] :
( ~ ( s_m @ SV182 @ SY1507 @ SY1508 )
| ( s_e @ SY1507 @ SV182 @ SY1507 @ SY1508 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1641,plain,
! [SV182: $i] :
( ( ! [SY1509: $i,SY1510: $i] :
( ( s_m @ SV182 @ SY1509 @ SY1510 )
| ~ ( s_t @ SV182 @ SY1509 @ SY1510 )
| ~ ( s_e @ SY1509 @ SV182 @ SY1509 @ SY1510 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1642,plain,
! [SV183: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
| ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) )
| ~ ! [SY1517: $i,SY1518: $i] :
( ( sameside @ SV183 @ SY1517 @ SY1518 )
| ( xb = SY1517 )
| ~ ( s_t @ SY1517 @ SV183 @ SY1518 )
| ( SV183 = SY1517 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1643,plain,
! [SV183: $i] :
( ( ! [SY1519: $i,SY1520: $i] :
( ( sameside @ SV183 @ SY1519 @ SY1520 )
| ( SY1520 = SY1519 )
| ~ ( s_t @ SY1519 @ SY1520 @ SV183 )
| ( SV183 = SY1519 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1644,plain,
! [SV184: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
| ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) )
| ~ ! [SY1527: $i,SY1528: $i] :
( ~ ( sameside @ SV184 @ SY1527 @ SY1528 )
| ( s_t @ SV184 @ SY1527 @ ( c63 @ SV184 @ SY1527 @ SY1528 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1645,plain,
! [SV184: $i] :
( ( ! [SY1529: $i,SY1530: $i] :
( ~ ( sameside @ SV184 @ SY1529 @ SY1530 )
| ( s_t @ SY1530 @ SY1529 @ ( c63 @ SV184 @ SY1529 @ SY1530 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1646,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ! [SY2797: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV388 ) ) )
| ~ ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ SV388 )
| ( s_col @ SV553 @ SV685 @ SV185 )
| ! [SY2798: $i,SY2799: $i] :
( ( SV388 = SY2799 )
| ( SV185 = SY2797 )
| ( SY2798 = SY2799 )
| ( SY2798 = SY2797 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SY2797 @ SY2798 )
| ~ ( s_t @ SV388 @ SY2799 @ SY2798 )
| ~ ( s_col @ SV553 @ SV685 @ SY2797 )
| ~ ( s_col @ SV553 @ SV685 @ SY2799 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1647,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
| ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) )
| ~ ! [SY2547: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2547 )
| ( s_t @ SV554 @ ( il @ SV554 @ SY2547 @ SV186 @ SV389 ) @ SY2547 ) ) )
| ~ ! [SY2548: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2548 )
| ( s_col @ SV186 @ SV389 @ ( il @ SV554 @ SY2548 @ SV186 @ SV389 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1648,plain,
! [SV390: $i,SV187: $i,SV555: $i] :
( ( ~ ! [SY2549: $i,SY2550: $i] :
( ( SY2549 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SY2549 )
| ~ ( s_col @ SV187 @ SV390 @ SY2550 )
| ~ ( perp @ SV187 @ SV390 @ SY2550 @ SV555 ) )
| ~ ! [SY2551: $i,SY2552: $i] :
( ( s_r @ SY2552 @ SV555 @ SY2551 )
| ( SY2551 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SY2551 )
| ~ ( perp @ SV187 @ SV390 @ SY2552 @ SV555 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1649,plain,
! [SV188: $i] :
( ( ! [SY1551: $i,SY1552: $i] :
( ~ ( s_r @ SV188 @ SY1551 @ SY1552 )
| ( s_e @ SV188 @ SY1552 @ SV188 @ ( s @ SY1551 @ SY1552 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1650,plain,
! [SV188: $i] :
( ( ! [SY1553: $i,SY1554: $i] :
( ( s_r @ SV188 @ SY1553 @ SY1554 )
| ~ ( s_e @ SV188 @ SY1554 @ SV188 @ ( s @ SY1553 @ SY1554 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1651,plain,
! [SV189: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) )
| ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) )
| ~ ! [SY1559: $i,SY1560: $i] :
( ( s_col @ SV189 @ SY1559 @ SY1560 )
| ~ ( s_t @ SY1559 @ SY1560 @ SV189 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1652,plain,
! [SV189: $i] :
( ( ! [SY1561: $i,SY1562: $i] :
( ( s_col @ SV189 @ SY1561 @ SY1562 )
| ~ ( s_t @ SY1562 @ SV189 @ SY1561 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1653,plain,
! [SV556: $i,SV391: $i,SV190: $i] :
( ( ~ ! [SY2553: $i,SY2554: $i] :
( ( s_t @ SY2553 @ ( insert @ SV190 @ SV391 @ SY2553 @ SY2554 ) @ SY2554 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SY2553 @ SY2554 ) )
| ~ ! [SY2555: $i,SY2556: $i] :
( ( s_e3 @ SV190 @ SV391 @ SV556 @ SY2555 @ ( insert @ SV190 @ SV391 @ SY2555 @ SY2556 ) @ SY2556 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SY2555 @ SY2556 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1654,plain,
! [SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY2800: $i,SY2801: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2802: $i,SY2803: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SY2800 @ SY2801 @ SY2802 @ SY2803 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY2804: $i] :
( ! [SY2805: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SY2800 @ SY2801 @ SY2804 @ SY2805 )
| ( s_t @ SY2800 @ SY2801 @ SY2804 ) ) )
| ~ ( ! [SY2806: $i,SY2807: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SY2800 @ SY2801 @ SY2806 @ SY2807 )
| ( s_e @ SV191 @ SV392 @ SY2800 @ SY2801 ) ) )
| ~ ! [SY2808: $i] :
( ! [SY2809: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SY2800 @ SY2801 @ SY2808 @ SY2809 )
| ( s_e @ SV392 @ SV557 @ SY2801 @ SY2808 ) ) )
| ~ ! [SY2810: $i,SY2811: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SY2800 @ SY2801 @ SY2810 @ SY2811 )
| ( s_e @ SV191 @ SV686 @ SY2800 @ SY2811 ) ) )
| ~ ! [SY2812: $i,SY2813: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SY2800 @ SY2801 @ SY2812 @ SY2813 )
| ( s_e @ SV392 @ SV686 @ SY2801 @ SY2813 ) ) )
| ~ ! [SY2814: $i,SY2815: $i] :
( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SY2800 @ SY2801 @ SY2814 @ SY2815 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SY2800 @ SY2801 @ SY2814 )
| ~ ( s_e @ SV191 @ SV392 @ SY2800 @ SY2801 )
| ~ ( s_e @ SV392 @ SV557 @ SY2801 @ SY2814 )
| ~ ( s_e @ SV191 @ SV686 @ SY2800 @ SY2815 )
| ~ ( s_e @ SV392 @ SV686 @ SY2801 @ SY2815 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1655,plain,
! [SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ! [SY2816: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SY2816 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SY2816 )
| ( s_col @ SV687 @ SY2816 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SY2816 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SY2816 )
| ( SV687 != SY2816 ) ) )
| ~ ! [SY2817: $i,SY2818: $i] :
( ( s_r @ SY2817 @ SV558 @ SY2818 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SY2816 )
| ~ ( s_col @ SV192 @ SV393 @ SY2817 )
| ~ ( s_col @ SV687 @ SY2816 @ SY2818 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SY2816 @ SV558 ) )
| ( SV687 = SY2816 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SY2816 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SY2816 @ SV558 ) ) )
| ~ ( ( s_col @ SV687 @ SY2816 @ ( g811 @ SV192 @ SV393 @ SV687 @ SY2816 @ SV558 ) )
| ( SV687 = SY2816 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SY2816 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SY2816 @ SV558 ) ) )
| ~ ( ( SV687 = SY2816 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SY2816 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SY2816 @ SV558 )
| ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SY2816 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SY2816 @ SV558 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(1656,plain,
! [SV559: $i,SV193: $i,SV394: $i] :
( ( ~ ! [SY2578: $i,SY2579: $i] :
( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SY2578 @ SY2579 ) @ SY2578 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SY2578 @ SY2579 @ SV559 ) )
| ~ ! [SY2580: $i,SY2581: $i] :
( ( s_t @ SY2581 @ ( ip @ SV193 @ SV394 @ SV559 @ SY2580 @ SY2581 ) @ SV193 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SY2580 @ SY2581 @ SV559 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1657,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
| ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) )
| ~ ! [SY2596: $i,SY2597: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2596 @ SY2597 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SY2596 @ SY2597 @ SV560 ) ) ) )
| ~ ! [SY2598: $i,SY2599: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2598 @ SY2599 )
| ( s_r @ ( f813 @ SV194 @ SV395 @ SY2598 @ SY2599 @ SV560 ) @ SV560 @ ( g813 @ SV194 @ SV395 @ SY2598 @ SY2599 @ SV560 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1658,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ~ ( ~ ! [SY2600: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2600 )
| ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2600 ) @ SY2600 ) )
| ~ ! [SY2601: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2601 )
| ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2601 ) ) ) )
| ~ ! [SY2602: $i] :
( ( le @ SV195 @ SV396 @ SV561 @ SY2602 )
| ! [SY2603: $i] :
( ~ ( s_t @ SV561 @ SY2603 @ SY2602 )
| ~ ( s_e @ SV195 @ SV396 @ SV561 @ SY2603 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1659,plain,
! [SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ~ ( ~ ! [SY2819: $i,SY2820: $i] :
( ( s_t @ SY2820 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SY2819 @ SY2820 ) @ SV562 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SY2819 @ SV562 )
| ~ ( s_t @ SV196 @ SY2820 @ SV688 ) )
| ~ ! [SY2821: $i,SY2822: $i] :
( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SY2821 @ SY2822 ) @ SY2821 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SY2821 @ SV562 )
| ~ ( s_t @ SV196 @ SY2822 @ SV688 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1660,plain,
! [SV398: $i,SV563: $i,SV197: $i] :
( ( ~ ! [SY2609: $i,SY2610: $i] :
( ( s_t @ SV197 @ ( op @ SY2610 @ SY2609 @ SV563 @ SV398 @ SV197 ) @ SY2609 )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SY2609 @ SY2610 @ SV398 ) )
| ~ ! [SY2611: $i,SY2612: $i] :
( ( s_t @ SV563 @ SY2612 @ ( op @ SY2612 @ SY2611 @ SV563 @ SV398 @ SV197 ) )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SY2611 @ SY2612 @ SV398 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1661,plain,
! [SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY2823: $i,SY2824: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2825: $i,SY2826: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SY2823 @ SY2824 @ SY2825 @ SY2826 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY2827: $i] :
( ! [SY2828: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SY2823 @ SY2824 @ SY2827 @ SY2828 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SY2823 @ SY2824 @ SY2827 ) ) )
| ~ ! [SY2829: $i,SY2830: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SY2823 @ SY2824 @ SY2829 @ SY2830 )
| ( s_e @ SV198 @ SV689 @ SY2823 @ SY2830 ) ) )
| ~ ! [SY2831: $i,SY2832: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SY2823 @ SY2824 @ SY2831 @ SY2832 )
| ( s_e @ SV399 @ SV689 @ SY2824 @ SY2832 ) ) )
| ~ ! [SY2833: $i,SY2834: $i] :
( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SY2823 @ SY2824 @ SY2833 @ SY2834 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SY2823 @ SY2824 @ SY2833 )
| ~ ( s_e @ SV198 @ SV689 @ SY2823 @ SY2834 )
| ~ ( s_e @ SV399 @ SV689 @ SY2824 @ SY2834 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1662,plain,
( ( opposite @ sK3_SY903 @ sK1_Xa @ sK2_SY900 @ sK4_SY905 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1663,plain,
( ( ~ ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
| ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ~ ( ( sK1_Xa != sK2_SY900 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1664,plain,
! [SV199: $i] :
( ( ! [SY1654: $i] :
( ( SV199 = SY1654 )
| ! [SY1655: $i] : ( s_col @ SV199 @ SY1654 @ ( midpoint @ SY1655 @ ( reflect @ SV199 @ SY1654 @ SY1655 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1665,plain,
! [SV199: $i] :
( ( ! [SY1656: $i,SY1657: $i] :
( ( perp @ SV199 @ SY1656 @ SY1657 @ ( reflect @ SV199 @ SY1656 @ SY1657 ) )
| ( SV199 = SY1656 )
| ( SY1657
= ( reflect @ SV199 @ SY1656 @ SY1657 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1458]) ).
thf(1666,plain,
! [SV200: $i] :
( ( ~ ( ~ ! [SY1658: $i,SY1659: $i] :
( ( s_col @ SV200 @ SY1658 @ SY1659 )
| ( SV200 = SY1658 )
| ( perp @ SV200 @ SY1658 @ ( erect21a @ SV200 @ SY1658 @ SY1659 ) @ SV200 ) )
| ~ ! [SY1660: $i,SY1661: $i] :
( ( s_col @ SV200 @ SY1660 @ SY1661 )
| ( SV200 = SY1660 )
| ( s_col @ SV200 @ SY1660 @ ( erectAux21a @ SV200 @ SY1660 @ SY1661 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1667,plain,
! [SV200: $i] :
( ( ! [SY1662: $i,SY1663: $i] :
( ( s_col @ SV200 @ SY1662 @ SY1663 )
| ( SV200 = SY1662 )
| ( s_t @ SY1663 @ ( erectAux21a @ SV200 @ SY1662 @ SY1663 ) @ ( erect21a @ SV200 @ SY1662 @ SY1663 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1668,plain,
! [SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2835: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2836: $i,SY2837: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SY2835 @ SY2836 @ SY2837 )
| ( s_t @ SV201 @ SV690 @ SY2837 ) )
| ~ ( ! [SY2838: $i,SY2839: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SY2835 @ SY2838 @ SY2839 )
| ( s_t @ SV565 @ SV690 @ SY2835 ) ) )
| ~ ( ! [SY2840: $i,SY2841: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SY2835 @ SY2840 @ SY2841 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2842: $i,SY2843: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SY2835 @ SY2842 @ SY2843 )
| ( s_e @ SV690 @ SY2843 @ SV690 @ SY2835 ) ) )
| ~ ( ! [SY2844: $i,SY2845: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SY2835 @ SY2844 @ SY2845 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
| ~ ! [SY2846: $i,SY2847: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SY2835 @ SY2846 @ SY2847 )
| ( s_m @ SY2847 @ SY2846 @ SY2835 ) ) )
| ~ ! [SY2848: $i,SY2849: $i] :
( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SY2835 @ SY2848 @ SY2849 )
| ~ ( s_t @ SV201 @ SV690 @ SY2849 )
| ~ ( s_t @ SV565 @ SV690 @ SY2835 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SY2849 @ SV690 @ SY2835 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SY2849 @ SY2848 @ SY2835 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1669,plain,
! [SV202: $i] :
( ( ! [SY1682: $i,SY1683: $i] :
( ~ ( sameside @ SV202 @ SY1682 @ SY1683 )
| ( s_col @ SV202 @ SY1682 @ SY1683 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1670,plain,
! [SV202: $i] :
( ( ! [SY1684: $i,SY1685: $i] :
( ~ ( sameside @ SV202 @ SY1684 @ SY1685 )
| ~ ( s_t @ SV202 @ SY1684 @ SY1685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1671,plain,
! [SV566: $i,SV401: $i,SV203: $i] :
( ( ~ ! [SY2642: $i] :
( ~ ( perp @ SV203 @ SV401 @ SV566 @ SY2642 )
| ( perpAt @ SV203 @ SV401 @ ( il @ SV203 @ SV401 @ SV566 @ SY2642 ) @ SV566 @ SY2642 ) )
| ~ ! [SY2643: $i] :
( ( perp @ SV203 @ SV401 @ SV566 @ SY2643 )
| ! [SY2644: $i] :
~ ( perpAt @ SV203 @ SV401 @ SY2644 @ SV566 @ SY2643 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1672,plain,
! [SV204: $i,SV402: $i] :
( ( ~ ! [SY2263: $i,SY2264: $i] :
( ( sameside @ ( insert @ SY2263 @ SY2264 @ SV402 @ SV204 ) @ SV402 @ SV204 )
| ( SV204 = SV402 )
| ( SY2263 = SY2264 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1673,plain,
! [SV204: $i,SV402: $i] :
( ( ~ ! [SY2265: $i,SY2266: $i] :
( ( s_e @ SV402 @ ( insert @ SY2265 @ SY2266 @ SV402 @ SV204 ) @ SY2265 @ SY2266 )
| ( SV204 = SV402 )
| ( SY2265 = SY2266 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1674,plain,
! [SV205: $i] :
( ( ! [SY1696: $i,SY1697: $i] :
( ( s_col @ SV205 @ SY1696 @ SY1697 )
| ( s_col @ SV205 @ SY1696 @ ( foot @ SV205 @ SY1696 @ SY1697 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1675,plain,
! [SV205: $i] :
( ( ! [SY1698: $i,SY1699: $i] :
( ( perp @ SV205 @ SY1698 @ SY1699 @ ( foot @ SV205 @ SY1698 @ SY1699 ) )
| ( s_col @ SV205 @ SY1698 @ SY1699 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1676,plain,
! [SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY2850: $i,SY2851: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2852: $i,SY2853: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SY2850 @ SY2851 @ SY2852 @ SY2853 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY2854: $i] :
( ! [SY2855: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SY2850 @ SY2851 @ SY2854 @ SY2855 )
| ( s_t @ SY2850 @ SY2851 @ SY2854 ) ) )
| ~ ! [SY2856: $i] :
( ! [SY2857: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SY2850 @ SY2851 @ SY2856 @ SY2857 )
| ( s_e @ SV206 @ SV567 @ SY2850 @ SY2856 ) ) )
| ~ ! [SY2858: $i] :
( ! [SY2859: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SY2850 @ SY2851 @ SY2858 @ SY2859 )
| ( s_e @ SV403 @ SV567 @ SY2851 @ SY2858 ) ) )
| ~ ! [SY2860: $i,SY2861: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SY2850 @ SY2851 @ SY2860 @ SY2861 )
| ( s_e @ SV206 @ SV691 @ SY2850 @ SY2861 ) ) )
| ~ ! [SY2862: $i,SY2863: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SY2850 @ SY2851 @ SY2862 @ SY2863 )
| ( s_e @ SV567 @ SV691 @ SY2862 @ SY2863 ) ) )
| ~ ! [SY2864: $i,SY2865: $i] :
( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SY2850 @ SY2851 @ SY2864 @ SY2865 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SY2850 @ SY2851 @ SY2864 )
| ~ ( s_e @ SV206 @ SV567 @ SY2850 @ SY2864 )
| ~ ( s_e @ SV403 @ SV567 @ SY2851 @ SY2864 )
| ~ ( s_e @ SV206 @ SV691 @ SY2850 @ SY2865 )
| ~ ( s_e @ SV567 @ SV691 @ SY2864 @ SY2865 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1677,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) )
| ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) )
| ~ ! [SY2870: $i,SY2871: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2870 @ SY2871 )
| ( s_e @ SV404 @ SV568 @ SY2870 @ SY2871 ) ) )
| ~ ! [SY2872: $i,SY2873: $i] :
( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2872 @ SY2873 )
| ~ ( s_e @ SV207 @ SV404 @ SV692 @ SY2872 )
| ~ ( s_e @ SV207 @ SV568 @ SV692 @ SY2873 )
| ~ ( s_e @ SV404 @ SV568 @ SY2872 @ SY2873 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1678,plain,
! [SV209: $i,SV2: $i,SV693: $i,SV569: $i,SV405: $i] :
( ( ! [SY2874: $i] :
( ( s_e @ SV405 @ SV569 @ SV693 @ SY2874 )
| ~ ( s_e @ SV2 @ SV209 @ SV405 @ SV569 )
| ~ ( s_e @ SV2 @ SV209 @ SV693 @ SY2874 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(1679,plain,
! [SV570: $i,SV210: $i,SV3: $i] :
( ( ( s_e @ SV3 @ SV210 @ SV570 @ SV570 )
= $false )
| ( ( SV3 = SV210 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1680,plain,
! [SV571: $i,SV406: $i,SV211: $i,SV4: $i,SV694: $i] :
( ( ! [SY2875: $i,SY2876: $i,SY2877: $i] :
( ( s_e @ SV694 @ SY2876 @ SY2875 @ SY2877 )
| ( SV4 = SV211 )
| ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SY2875 )
| ~ ( s_e @ SV4 @ SY2876 @ SV406 @ SY2877 )
| ~ ( s_e @ SV211 @ SY2876 @ SV571 @ SY2877 )
| ~ ( s_t @ SV4 @ SV211 @ SV694 )
| ~ ( s_t @ SV406 @ SV571 @ SY2875 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1681,plain,
! [SV572: $i,SV407: $i,SV214: $i,SV7: $i] :
( ( ( ~ ( s_e @ SV7 @ SV214 @ SV407 @ SV572 ) )
= $true )
| ( ( s_e @ SV407 @ SV572 @ SV7 @ SV214 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1474]) ).
thf(1682,plain,
! [SV573: $i,SV408: $i,SV695: $i,SV215: $i,SV8: $i] :
( ( ! [SY2878: $i] :
( ( s_e @ SV8 @ SV215 @ SV695 @ SY2878 )
| ~ ( s_e @ SV8 @ SV215 @ SV408 @ SV573 )
| ~ ( s_e @ SV408 @ SV573 @ SV695 @ SY2878 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1683,plain,
! [SV574: $i,SV409: $i,SV216: $i,SV9: $i] :
( ( ( ~ ( s_e @ SV9 @ SV216 @ SV409 @ SV574 ) )
= $true )
| ( ( s_e @ SV216 @ SV9 @ SV409 @ SV574 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1476]) ).
thf(1684,plain,
! [SV575: $i,SV410: $i,SV217: $i,SV10: $i] :
( ( ( ~ ( s_e @ SV10 @ SV217 @ SV410 @ SV575 ) )
= $true )
| ( ( s_e @ SV10 @ SV217 @ SV575 @ SV410 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1477]) ).
thf(1685,plain,
! [SV696: $i,SV219: $i,SV576: $i,SV411: $i,SV12: $i] :
( ( ! [SY2879: $i] :
( ( s_e @ SV12 @ SV411 @ SV576 @ SY2879 )
| ~ ( s_t @ SV12 @ SV219 @ SV411 )
| ~ ( s_t @ SV576 @ SV696 @ SY2879 )
| ~ ( s_e @ SV12 @ SV219 @ SV576 @ SV696 )
| ~ ( s_e @ SV219 @ SV411 @ SV696 @ SY2879 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1686,plain,
! [SV697: $i,SV577: $i,SV220: $i,SV13: $i,SV412: $i] :
( ( ( SV412
= ( ext @ SV13 @ SV220 @ SV577 @ SV697 ) )
| ( SV13 = SV220 )
| ~ ( s_t @ SV13 @ SV220 @ SV412 )
| ~ ( s_e @ SV220 @ SV412 @ SV577 @ SV697 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1687,plain,
! [SV578: $i,SV221: $i,SV14: $i] :
( ( ( s_e @ SV14 @ SV221 @ SV578 @ SV578 )
= $false )
| ( ( SV14 = SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1688,plain,
! [SV579: $i,SV413: $i,SV222: $i,SV15: $i] :
( ( ( ~ ( s_e @ SV15 @ SV222 @ SV413 @ SV579 ) )
= $true )
| ( ( s_e @ SV222 @ SV15 @ SV579 @ SV413 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1689,plain,
! [SV698: $i,SV223: $i,SV580: $i,SV414: $i,SV16: $i] :
( ( ! [SY2880: $i] :
( ( s_e @ SV16 @ SV414 @ SV580 @ SY2880 )
| ~ ( s_t @ SV16 @ SV223 @ SV414 )
| ~ ( s_t @ SV580 @ SV698 @ SY2880 )
| ~ ( s_e @ SV16 @ SV223 @ SV698 @ SY2880 )
| ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1690,plain,
! [SV415: $i,SV225: $i,SV18: $i] :
( ( ( s_t @ SV18 @ SV225 @ SV415 )
= $false )
| ( ( s_t @ SV415 @ SV225 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1691,plain,
! [SV581: $i,SV227: $i,SV20: $i] :
( ( ( ~ ( s_t @ SV20 @ SV227 @ SV581 ) )
= $true )
| ( ( ~ ( s_t @ SV227 @ SV20 @ SV581 ) )
= $true )
| ( ( SV20 = SV227 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1692,plain,
! [SV416: $i,SV582: $i,SV228: $i,SV21: $i] :
( ( ( s_t @ SV21 @ SV228 @ SV582 )
= $true )
| ( ( ~ ( s_t @ SV21 @ SV228 @ SV416 )
| ~ ( s_t @ SV228 @ SV582 @ SV416 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1693,plain,
! [SV22: $i,SV583: $i,SV417: $i,SV229: $i] :
( ( ( s_t @ SV229 @ SV417 @ SV583 )
= $true )
| ( ( ~ ( s_t @ SV22 @ SV229 @ SV417 )
| ~ ( s_t @ SV22 @ SV417 @ SV583 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1486]) ).
thf(1694,plain,
! [SV230: $i,SV584: $i,SV418: $i,SV23: $i] :
( ( ( s_t @ SV23 @ SV418 @ SV584 )
= $true )
| ( ( ( SV230 = SV418 )
| ~ ( s_t @ SV23 @ SV230 @ SV418 )
| ~ ( s_t @ SV230 @ SV418 @ SV584 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1487]) ).
thf(1695,plain,
! [SV231: $i,SV419: $i,SV585: $i,SV24: $i] :
( ( ( s_t @ SV24 @ SV585 @ SV419 )
= $true )
| ( ( ~ ( s_t @ SV24 @ SV231 @ SV419 )
| ~ ( s_t @ SV231 @ SV585 @ SV419 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1696,plain,
! [SV420: $i,SV586: $i,SV232: $i,SV25: $i] :
( ( ( s_t @ SV25 @ SV232 @ SV586 )
= $true )
| ( ( ~ ( s_t @ SV25 @ SV232 @ SV420 )
| ~ ( s_t @ SV25 @ SV420 @ SV586 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1489]) ).
thf(1697,plain,
! [SV421: $i,SV587: $i,SV233: $i,SV26: $i] :
( ( ( s_t @ SV26 @ SV233 @ SV587 )
= $true )
| ( ( ( SV233 = SV421 )
| ~ ( s_t @ SV26 @ SV233 @ SV421 )
| ~ ( s_t @ SV233 @ SV421 @ SV587 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1490]) ).
thf(1698,plain,
! [SV699: $i,SV588: $i,SV422: $i,SV236: $i,SV29: $i] :
( ( ! [SY2881: $i,SY2882: $i,SY2883: $i] :
( ~ ( s_ifs @ SV29 @ SV236 @ SV422 @ SV588 @ SV699 @ SY2881 @ SY2882 @ SY2883 )
| ( s_e @ SV236 @ SV588 @ SY2881 @ SY2883 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1699,plain,
! [SV423: $i,SV700: $i,SV589: $i,SV237: $i,SV30: $i] :
( ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
| ! [SY2884: $i] :
( ~ ( s_t @ SV30 @ SV237 @ SV423 )
| ~ ( s_t @ SV589 @ SV700 @ SY2884 )
| ~ ( s_e @ SV30 @ SV423 @ SV589 @ SY2884 )
| ~ ( s_e @ SV237 @ SV423 @ SV700 @ SY2884 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(1700,plain,
! [SV424: $i,SV238: $i,SV31: $i,SV701: $i,SV590: $i] :
( ( ! [SY2885: $i] :
( ( s_t @ SV590 @ SV701 @ SY2885 )
| ~ ( s_t @ SV31 @ SV238 @ SV424 )
| ~ ( s_e3 @ SV31 @ SV238 @ SV424 @ SV590 @ SV701 @ SY2885 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1701,plain,
! [SV425: $i,SV239: $i,SV32: $i] :
( ( ( s_col @ SV32 @ SV239 @ SV425 )
= $false )
| ( ( s_col @ SV239 @ SV425 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1702,plain,
! [SV426: $i,SV240: $i,SV33: $i] :
( ( ( s_col @ SV33 @ SV240 @ SV426 )
= $false )
| ( ( s_col @ SV426 @ SV33 @ SV240 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1703,plain,
! [SV427: $i,SV241: $i,SV34: $i] :
( ( ( s_col @ SV34 @ SV241 @ SV427 )
= $false )
| ( ( s_col @ SV427 @ SV241 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1704,plain,
! [SV428: $i,SV242: $i,SV35: $i] :
( ( ( s_col @ SV35 @ SV242 @ SV428 )
= $false )
| ( ( s_col @ SV242 @ SV35 @ SV428 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1705,plain,
! [SV429: $i,SV243: $i,SV36: $i] :
( ( ( s_col @ SV36 @ SV243 @ SV429 )
= $false )
| ( ( s_col @ SV36 @ SV429 @ SV243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1706,plain,
! [SV430: $i,SV246: $i,SV39: $i,SV702: $i,SV591: $i] :
( ( ! [SY2886: $i] :
( ( s_col @ SV591 @ SV702 @ SY2886 )
| ~ ( s_col @ SV39 @ SV246 @ SV430 )
| ~ ( s_e3 @ SV39 @ SV246 @ SV430 @ SV591 @ SV702 @ SY2886 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1707,plain,
! [SV703: $i,SV592: $i,SV431: $i,SV247: $i,SV40: $i] :
( ( ( s_e3 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 @ ( insert5 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 ) )
| ~ ( s_col @ SV40 @ SV247 @ SV431 )
| ~ ( s_e @ SV40 @ SV247 @ SV592 @ SV703 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1708,plain,
! [SV704: $i,SV248: $i,SV41: $i,SV593: $i,SV432: $i] :
( ( ! [SY2887: $i,SY2888: $i,SY2889: $i] :
( ( s_e @ SV432 @ SV593 @ SY2888 @ SY2889 )
| ~ ( s_fs @ SV41 @ SV248 @ SV432 @ SV593 @ SV704 @ SY2887 @ SY2888 @ SY2889 )
| ( SV41 = SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1709,plain,
! [SV249: $i,SV42: $i,SV705: $i,SV594: $i,SV433: $i] :
( ( ( s_e @ SV433 @ SV594 @ SV433 @ SV705 )
| ( SV42 = SV249 )
| ~ ( s_col @ SV42 @ SV249 @ SV433 )
| ~ ( s_e @ SV42 @ SV594 @ SV42 @ SV705 )
| ~ ( s_e @ SV249 @ SV594 @ SV249 @ SV705 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1710,plain,
! [SV250: $i,SV43: $i,SV595: $i,SV434: $i] :
( ( ( SV434 = SV595 )
= $true )
| ( ( ( SV43 = SV250 )
| ~ ( s_col @ SV43 @ SV250 @ SV434 )
| ~ ( s_e @ SV43 @ SV434 @ SV43 @ SV595 )
| ~ ( s_e @ SV250 @ SV434 @ SV250 @ SV595 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1503]) ).
thf(1711,plain,
! [SV435: $i,SV44: $i,SV596: $i,SV251: $i] :
( ( ( SV251 = SV596 )
= $true )
| ( ( ~ ( s_t @ SV44 @ SV251 @ SV435 )
| ~ ( s_e @ SV44 @ SV251 @ SV44 @ SV596 )
| ~ ( s_e @ SV435 @ SV251 @ SV435 @ SV596 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1504]) ).
thf(1712,plain,
! [SV252: $i,SV436: $i,SV597: $i,SV45: $i] :
( ( ( s_t @ SV45 @ SV597 @ SV436 )
= $true )
| ( ( ( s_t @ SV45 @ SV436 @ SV597 )
| ( SV45 = SV252 )
| ~ ( s_t @ SV45 @ SV252 @ SV436 )
| ~ ( s_t @ SV45 @ SV252 @ SV597 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1713,plain,
! [SV46: $i,SV437: $i,SV598: $i,SV253: $i] :
( ( ( s_t @ SV253 @ SV598 @ SV437 )
= $true )
| ( ( ( s_t @ SV253 @ SV437 @ SV598 )
| ( SV46 = SV253 )
| ~ ( s_t @ SV46 @ SV253 @ SV437 )
| ~ ( s_t @ SV46 @ SV253 @ SV598 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1506]) ).
thf(1714,plain,
! [SV438: $i,SV254: $i,SV599: $i,SV47: $i] :
( ( ( s_t @ SV47 @ SV599 @ SV254 )
= $true )
| ( ( ( s_t @ SV47 @ SV254 @ SV599 )
| ~ ( s_t @ SV47 @ SV254 @ SV438 )
| ~ ( s_t @ SV47 @ SV599 @ SV438 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1715,plain,
! [SV706: $i,SV600: $i,SV439: $i,SV255: $i,SV48: $i] :
( ( ( le @ SV48 @ SV255 @ SV439 @ SV600 )
| ~ ( s_t @ SV48 @ SV255 @ SV706 )
| ~ ( s_e @ SV48 @ SV706 @ SV439 @ SV600 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1716,plain,
! [SV601: $i,SV440: $i,SV256: $i,SV49: $i,SV707: $i] :
( ( ! [SY2890: $i,SY2891: $i,SY2892: $i] :
( ( le @ SV707 @ SY2890 @ SY2891 @ SY2892 )
| ~ ( le @ SV49 @ SV256 @ SV440 @ SV601 )
| ~ ( s_e @ SV49 @ SV256 @ SV707 @ SY2890 )
| ~ ( s_e @ SV440 @ SV601 @ SY2891 @ SY2892 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1717,plain,
! [SV602: $i,SV441: $i,SV708: $i,SV258: $i,SV51: $i] :
( ( ! [SY2893: $i] :
( ( le @ SV51 @ SV258 @ SV708 @ SY2893 )
| ~ ( le @ SV51 @ SV258 @ SV441 @ SV602 )
| ~ ( le @ SV441 @ SV602 @ SV708 @ SY2893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1718,plain,
! [SV603: $i,SV442: $i,SV259: $i,SV52: $i] :
( ( ( s_e @ SV52 @ SV259 @ SV442 @ SV603 )
= $true )
| ( ( ~ ( le @ SV52 @ SV259 @ SV442 @ SV603 )
| ~ ( le @ SV442 @ SV603 @ SV52 @ SV259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1511]) ).
thf(1719,plain,
! [SV604: $i,SV443: $i,SV260: $i,SV53: $i] :
( ( ( le @ SV53 @ SV260 @ SV443 @ SV604 )
= $true )
| ( ( le @ SV443 @ SV604 @ SV53 @ SV260 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1512]) ).
thf(1720,plain,
! [SV445: $i,SV262: $i,SV55: $i] :
( ( ( ~ ( s_col @ SV55 @ SV262 @ SV445 ) )
= $true )
| ( ( ~ ( s_t @ SV55 @ SV262 @ SV445 ) )
= $true )
| ( ( le @ SV55 @ SV262 @ SV55 @ SV445 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1721,plain,
! [SV446: $i,SV263: $i,SV56: $i] :
( ( ( ~ ( s_col @ SV56 @ SV263 @ SV446 ) )
= $true )
| ( ( ~ ( s_t @ SV56 @ SV263 @ SV446 ) )
= $true )
| ( ( le @ SV263 @ SV446 @ SV56 @ SV446 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1722,plain,
! [SV447: $i,SV264: $i,SV57: $i] :
( ( ( ~ ( s_t @ SV57 @ SV264 @ SV447 ) )
= $true )
| ( ( ~ ( s_e @ SV57 @ SV447 @ SV57 @ SV264 ) )
= $true )
| ( ( SV447 = SV264 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1723,plain,
! [SV448: $i,SV265: $i,SV58: $i] :
( ( ( ~ ( s_col @ SV58 @ SV265 @ SV448 )
| ( s_t @ SV58 @ SV265 @ SV448 ) )
= $true )
| ( ( ~ ( le @ SV58 @ SV265 @ SV58 @ SV448 ) )
= $true )
| ( ( ~ ( le @ SV265 @ SV448 @ SV58 @ SV448 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1516]) ).
thf(1724,plain,
! [SV449: $i,SV59: $i,SV266: $i,SV709: $i] :
( ( ( ( SV709 = SV266 )
| ( SV59 = SV266 )
| ( SV449 = SV266 )
| ~ ( s_t @ SV59 @ SV266 @ SV709 )
| ~ ( s_t @ SV449 @ SV266 @ SV709 ) )
= $true )
| ( ( sameside @ SV59 @ SV266 @ SV449 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1725,plain,
! [SV60: $i,SV710: $i,SV267: $i,SV450: $i] :
( ( ( ( s_t @ SV450 @ SV267 @ SV710 )
| ( SV710 = SV267 )
| ( SV60 = SV267 )
| ( SV450 = SV267 )
| ~ ( s_t @ SV60 @ SV267 @ SV710 ) )
= $true )
| ( ( ~ ( sameside @ SV60 @ SV267 @ SV450 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(1726,plain,
! [SV61: $i,SV451: $i,SV268: $i,SV605: $i] :
( ( ( ( SV605 = SV268 )
| ( SV451 = SV268 )
| ( SV61 = SV268 )
| ( sameside @ SV61 @ SV268 @ SV451 )
| ~ ( s_t @ SV61 @ SV268 @ SV605 ) )
= $true )
| ( ( ~ ( s_t @ SV451 @ SV268 @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1727,plain,
! [SV452: $i,SV269: $i,SV62: $i] :
( ( ( sameside @ SV62 @ SV269 @ SV452 )
= $true )
| ( ( ~ ( s_col @ SV62 @ SV269 @ SV452 ) )
= $true )
| ( ( s_t @ SV62 @ SV269 @ SV452 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1728,plain,
! [SV453: $i,SV271: $i,SV64: $i] :
( ( ( sameside @ SV64 @ SV271 @ SV453 )
= $false )
| ( ( sameside @ SV453 @ SV271 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1729,plain,
! [SV454: $i,SV606: $i,SV272: $i,SV65: $i] :
( ( ( sameside @ SV65 @ SV272 @ SV606 )
= $true )
| ( ( ~ ( sameside @ SV65 @ SV272 @ SV454 )
| ~ ( sameside @ SV454 @ SV272 @ SV606 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1522]) ).
thf(1730,plain,
! [SV607: $i,SV455: $i,SV273: $i,SV66: $i,SV711: $i] :
( ( ! [SY2894: $i] :
( ( SV711 = SY2894 )
| ( SV66 = SV273 )
| ( SV455 = SV607 )
| ~ ( sameside @ SV711 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 )
| ~ ( sameside @ SY2894 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SY2894 @ SV455 @ SV607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1731,plain,
! [SV456: $i,SV274: $i,SV67: $i] :
( ( ( ~ ( sameside @ SV67 @ SV274 @ SV456 ) )
= $true )
| ( ( ~ ( le @ SV274 @ SV67 @ SV274 @ SV456 ) )
= $true )
| ( ( s_t @ SV274 @ SV67 @ SV456 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1524]) ).
thf(1732,plain,
! [SV457: $i,SV275: $i,SV68: $i] :
( ( ( ~ ( sameside @ SV68 @ SV275 @ SV457 ) )
= $true )
| ( ( le @ SV275 @ SV68 @ SV275 @ SV457 )
= $true )
| ( ( ~ ( s_t @ SV275 @ SV68 @ SV457 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1733,plain,
! [SV276: $i,SV458: $i,SV69: $i,SV608: $i] :
( ( ( sameside @ SV608 @ SV69 @ SV458 )
= $true )
| ( ( ( sameside @ SV608 @ SV69 @ SV276 )
| ( SV608 = SV69 )
| ( SV69 = SV276 )
| ( SV69 = SV458 )
| ~ ( s_t @ SV276 @ SV69 @ SV458 )
| ~ ( s_col @ SV608 @ SV69 @ SV276 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1734,plain,
! [SV459: $i,SV277: $i,SV70: $i,SV609: $i] :
( ( ( s_col @ SV609 @ SV70 @ SV277 )
= $true )
| ( ( ( SV70 = SV277 )
| ( SV70 = SV459 )
| ~ ( s_t @ SV277 @ SV70 @ SV459 )
| ~ ( sameside @ SV609 @ SV70 @ SV277 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1735,plain,
! [SV460: $i,SV278: $i,SV71: $i,SV610: $i] :
( ( ( s_col @ SV610 @ SV71 @ SV278 )
= $true )
| ( ( ( SV71 = SV278 )
| ( SV71 = SV460 )
| ~ ( s_t @ SV278 @ SV71 @ SV460 )
| ~ ( sameside @ SV610 @ SV71 @ SV460 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1528]) ).
thf(1736,plain,
! [SV461: $i,SV279: $i,SV72: $i,SV611: $i] :
( ( ( s_col @ SV611 @ SV72 @ SV279 )
= $true )
| ( ( ( SV611 != SV72 )
| ( SV72 = SV279 )
| ( SV72 = SV461 )
| ~ ( s_t @ SV279 @ SV72 @ SV461 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1737,plain,
! [SV73: $i,SV280: $i,SV612: $i,SV462: $i] :
( ( ( s_t @ SV462 @ SV612 @ SV280 )
= $true )
| ( ( ( s_t @ SV612 @ SV462 @ SV280 )
| ( SV73 = SV280 )
| ~ ( s_t @ SV462 @ SV73 @ SV280 )
| ~ ( s_t @ SV612 @ SV73 @ SV280 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1530]) ).
thf(1738,plain,
! [SV281: $i,SV613: $i,SV463: $i,SV74: $i] :
( ( ( s_col @ SV74 @ SV463 @ SV613 )
= $true )
| ( ( ( SV74 = SV281 )
| ( SV463 = SV74 )
| ~ ( s_col @ SV74 @ SV281 @ SV463 )
| ~ ( s_col @ SV74 @ SV281 @ SV613 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1531]) ).
thf(1739,plain,
! [SV464: $i,SV283: $i,SV76: $i] :
( ( ( SV76 = SV283 )
= $true )
| ( ( ~ ( s_col @ SV76 @ SV283 @ SV464 ) )
= $true )
| ( ( s_col @ SV283 @ SV76 @ SV464 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1740,plain,
! [SV614: $i,SV465: $i,SV712: $i,SV284: $i,SV77: $i] :
( ( ( s_col @ SV77 @ SV284 @ SV712 )
| ( SV77 = SV284 )
| ( SV465 = SV614 )
| ~ ( s_col @ SV465 @ SV614 @ SV77 )
| ~ ( s_col @ SV465 @ SV614 @ SV284 )
| ~ ( s_col @ SV465 @ SV614 @ SV712 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1741,plain,
! [SV285: $i,SV78: $i,SV713: $i,SV615: $i,SV466: $i] :
( ( ! [SY2895: $i,SY2896: $i] :
( ( s_col @ SV466 @ SV615 @ SY2896 )
| ( SV713 = SY2895 )
| ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 )
| ~ ( s_col @ SV466 @ SV615 @ SV713 )
| ~ ( s_col @ SV78 @ SV285 @ SY2895 )
| ~ ( s_col @ SV466 @ SV615 @ SY2895 )
| ~ ( s_col @ SV78 @ SV285 @ SY2896 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(1742,plain,
! [SV714: $i,SV287: $i,SV616: $i,SV467: $i,SV80: $i] :
( ( ! [SY2897: $i] :
( ( s_e @ SV80 @ SV467 @ SV616 @ SY2897 )
| ~ ( sameside @ SV80 @ SV287 @ SV467 )
| ~ ( sameside @ SV616 @ SV714 @ SY2897 )
| ~ ( s_e @ SV287 @ SV80 @ SV714 @ SV616 )
| ~ ( s_e @ SV287 @ SV467 @ SV714 @ SY2897 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1743,plain,
! [SV468: $i,SV288: $i,SV81: $i] :
( ( ( s_m @ SV81 @ SV288 @ SV468 )
= $false )
| ( ( s_m @ SV468 @ SV288 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1744,plain,
! [SV292: $i,SV85: $i,SV617: $i,SV469: $i] :
( ( ( SV469 = SV617 )
= $true )
| ( ( ~ ( s_m @ SV85 @ SV292 @ SV469 )
| ~ ( s_m @ SV85 @ SV292 @ SV617 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1745,plain,
! [SV470: $i,SV293: $i,SV86: $i] :
( ( ( s_m @ SV86 @ SV293 @ SV470 )
= $false )
| ( ( SV470
= ( s @ SV293 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1746,plain,
! [SV471: $i,SV88: $i,SV618: $i,SV295: $i] :
( ( ( SV295 = SV618 )
= $true )
| ( ( ( ( s @ SV88 @ SV295 )
!= SV471 )
| ( ( s @ SV88 @ SV618 )
!= SV471 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1542]) ).
thf(1747,plain,
! [SV472: $i,SV296: $i,SV89: $i] :
( ( ( ( s @ SV89 @ SV296 )
= ( s @ SV89 @ SV472 ) )
= $false )
| ( ( SV296 = SV472 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1748,plain,
! [SV474: $i,SV300: $i,SV93: $i] :
( ( ( s_t @ SV93 @ SV300 @ SV474 )
= $false )
| ( ( ! [SY2388: $i] : ( s_t @ ( s @ SY2388 @ SV93 ) @ ( s @ SY2388 @ SV300 ) @ ( s @ SY2388 @ SV474 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1749,plain,
! [SV475: $i,SV301: $i,SV94: $i,SV715: $i] :
( ( ( ~ ( s_t @ ( s @ SV715 @ SV94 ) @ ( s @ SV715 @ SV301 ) @ ( s @ SV715 @ SV475 ) ) )
= $true )
| ( ( s_t @ SV94 @ SV301 @ SV475 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(1750,plain,
! [SV619: $i,SV476: $i,SV302: $i,SV95: $i] :
( ( ( ~ ( s_e @ SV95 @ SV302 @ SV476 @ SV619 ) )
= $true )
| ( ( ! [SY2715: $i] : ( s_e @ ( s @ SY2715 @ SV95 ) @ ( s @ SY2715 @ SV302 ) @ ( s @ SY2715 @ SV476 ) @ ( s @ SY2715 @ SV619 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1548]) ).
thf(1751,plain,
! [SV620: $i,SV477: $i,SV303: $i,SV96: $i] :
( ( ( s_e @ SV96 @ SV303 @ SV477 @ SV620 )
= $true )
| ( ( ! [SY2716: $i] :
~ ( s_e @ ( s @ SY2716 @ SV96 ) @ ( s @ SY2716 @ SV303 ) @ ( s @ SY2716 @ SV477 ) @ ( s @ SY2716 @ SV620 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1549]) ).
thf(1752,plain,
! [SV478: $i,SV97: $i,SV621: $i,SV304: $i] :
( ( ( SV304 = SV621 )
= $true )
| ( ( ~ ( s_m @ SV97 @ SV304 @ SV478 )
| ~ ( s_m @ SV97 @ SV621 @ SV478 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1550]) ).
thf(1753,plain,
! [SV479: $i,SV305: $i,SV98: $i] :
( ( ( ( s @ SV98 @ SV305 )
= ( s @ SV479 @ SV305 ) )
= $false )
| ( ( SV98 = SV479 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1754,plain,
! [SV622: $i,SV306: $i,SV99: $i] :
( ( ( ( s @ SV99 @ ( s @ SV306 @ SV622 ) )
= ( s @ SV306 @ ( s @ SV99 @ SV622 ) ) )
= $false )
| ( ( SV99 = SV306 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1755,plain,
! [SV307: $i,SV480: $i,SV100: $i] :
( ( ( SV100 = SV480 )
= $true )
| ( ( ~ ( s_col @ SV100 @ SV307 @ SV480 )
| ~ ( s_e @ SV307 @ SV100 @ SV307 @ SV480 ) )
= $true )
| ( ( s_m @ SV100 @ SV307 @ SV480 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1756,plain,
! [SV623: $i,SV308: $i,SV481: $i,SV716: $i,SV101: $i] :
( ( ( s_m @ SV101 @ SV716 @ SV481 )
| ( SV308 = SV623 )
| ( s_col @ SV101 @ SV308 @ SV481 )
| ~ ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
| ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 )
| ~ ( s_col @ SV101 @ SV716 @ SV481 )
| ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1757,plain,
! [SV717: $i,SV624: $i,SV482: $i,SV309: $i,SV102: $i] :
( ( ! [SY2898: $i,SY2899: $i] :
( ~ ( s_kf @ SV102 @ SV309 @ SV482 @ SV624 @ SV717 @ SY2898 @ SY2899 )
| ( s_t @ SV309 @ SV624 @ SY2898 )
| ~ ( le @ SV624 @ SV102 @ SV624 @ SY2899 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(1758,plain,
! [SV718: $i,SV625: $i,SV483: $i,SV310: $i,SV103: $i] :
( ( ! [SY2900: $i] :
( ! [SY2901: $i] :
~ ( s_kf @ SV103 @ SV310 @ SV483 @ SV625 @ SV718 @ SY2900 @ SY2901 )
| ( s_t @ SV310 @ SV625 @ SY2900 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1759,plain,
! [SV719: $i,SV626: $i,SV484: $i,SV104: $i,SV311: $i] :
( ( ! [SY2902: $i,SY2903: $i] :
( ( s_t @ SY2902 @ SV311 @ SY2903 )
| ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SV719 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
| ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 )
| ~ ( s_m @ SV104 @ SY2902 @ SV626 )
| ~ ( s_m @ SV484 @ SY2903 @ SV719 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1760,plain,
! [SV485: $i,SV312: $i,SV105: $i] :
( ( ( s_e @ SV105 @ SV312 @ SV105 @ SV485 )
= $false )
| ( ( s_m @ SV312 @ ( isomidpoint @ SV312 @ SV485 @ SV105 ) @ SV485 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1761,plain,
! [SV486: $i,SV313: $i,SV106: $i] :
( ( ( s_r @ SV106 @ SV313 @ SV486 )
= $false )
| ( ( s_r @ SV486 @ SV313 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1762,plain,
! [SV107: $i,SV487: $i,SV314: $i,SV627: $i] :
( ( ( s_r @ SV627 @ SV314 @ SV487 )
= $true )
| ( ( ~ ( s_r @ SV107 @ SV314 @ SV487 )
| ( SV107 = SV314 )
| ~ ( s_col @ SV314 @ SV107 @ SV627 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1560]) ).
thf(1763,plain,
! [SV488: $i,SV315: $i,SV108: $i] :
( ( ( s_r @ SV108 @ SV315 @ SV488 )
= $false )
| ( ( s_r @ SV108 @ SV315 @ ( s @ SV315 @ SV488 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1764,plain,
! [SV720: $i,SV489: $i,SV317: $i,SV110: $i] :
( ( ( ~ ( s_r @ SV110 @ SV317 @ SV489 )
| ~ ( s_r @ SV720 @ SV317 @ SV489 )
| ~ ( s_t @ SV110 @ SV489 @ SV720 ) )
= $true )
| ( ( SV317 = SV489 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(1765,plain,
! [SV490: $i,SV318: $i,SV111: $i] :
( ( ( ~ ( s_r @ SV111 @ SV318 @ SV490 ) )
= $true )
| ( ( ~ ( s_r @ SV111 @ SV490 @ SV318 ) )
= $true )
| ( ( SV318 = SV490 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1563]) ).
thf(1766,plain,
! [SV491: $i,SV320: $i,SV113: $i] :
( ( ( SV113 = SV320 )
= $true )
| ( ( ~ ( s_r @ SV113 @ SV320 @ SV491 )
| ~ ( s_col @ SV113 @ SV320 @ SV491 ) )
= $true )
| ( ( SV491 = SV320 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1565]) ).
thf(1767,plain,
! [SV492: $i,SV321: $i,SV114: $i,SV721: $i,SV628: $i] :
( ( ! [SY2904: $i] :
( ( s_r @ SV628 @ SV721 @ SY2904 )
| ~ ( s_r @ SV114 @ SV321 @ SV492 )
| ~ ( s_e3 @ SV114 @ SV321 @ SV492 @ SV628 @ SV721 @ SY2904 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(1768,plain,
! [SV722: $i,SV629: $i,SV493: $i,SV322: $i,SV115: $i] :
( ( ~ ( perpAt @ SV115 @ SV322 @ SV493 @ SV629 @ SV722 )
| ( perpAt @ SV629 @ SV722 @ SV493 @ SV115 @ SV322 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1769,plain,
! [SV630: $i,SV494: $i,SV323: $i,SV116: $i] :
( ( ( ~ ( perp @ SV116 @ SV323 @ SV494 @ SV630 ) )
= $true )
| ( ( perp @ SV494 @ SV630 @ SV116 @ SV323 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1568]) ).
thf(1770,plain,
! [SV631: $i,SV495: $i,SV723: $i,SV324: $i,SV117: $i] :
( ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
| ! [SY2905: $i,SY2906: $i] :
( ( SV723 = SY2906 )
| ( SV723 = SY2905 )
| ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SY2905 )
| ~ ( s_col @ SV495 @ SV631 @ SY2906 )
| ~ ( s_r @ SY2905 @ SV723 @ SY2906 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1569]) ).
thf(1771,plain,
! [SV632: $i,SV496: $i,SV325: $i,SV118: $i] :
( ( ( ~ ( perp @ SV118 @ SV325 @ SV496 @ SV632 )
| ~ ( s_col @ SV118 @ SV325 @ SV496 ) )
= $true )
| ( ( ~ ( s_col @ SV118 @ SV325 @ SV632 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1570]) ).
thf(1772,plain,
! [SV633: $i,SV497: $i,SV724: $i,SV326: $i,SV119: $i] :
( ( ( perpAt @ SV119 @ SV326 @ SV724 @ SV497 @ SV633 )
| ~ ( perp @ SV119 @ SV326 @ SV497 @ SV633 )
| ~ ( s_col @ SV119 @ SV326 @ SV724 )
| ~ ( s_col @ SV497 @ SV633 @ SV724 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1571]) ).
thf(1773,plain,
! [SV725: $i,SV634: $i,SV498: $i,SV327: $i,SV120: $i] :
( ( ~ ( perpAt @ SV120 @ SV327 @ SV498 @ SV634 @ SV725 )
| ( SV498
= ( il @ SV120 @ SV327 @ SV634 @ SV725 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(1774,plain,
! [SV635: $i,SV499: $i,SV328: $i,SV121: $i] :
( ( ( perpAt @ SV121 @ SV328 @ SV499 @ SV635 @ SV499 )
= $true )
| ( ( ( SV121 = SV328 )
| ~ ( s_col @ SV121 @ SV328 @ SV499 )
| ~ ( perp @ SV121 @ SV328 @ SV635 @ SV499 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1573]) ).
thf(1775,plain,
! [SV636: $i,SV500: $i,SV726: $i,SV329: $i,SV122: $i] :
( ( ( s_col @ SV122 @ SV329 @ SV726 )
| ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
| ( SV636 = SV500 )
| ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SV500 )
| ~ ( s_col @ SV122 @ SV329 @ SV636 )
| ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1776,plain,
! [SV501: $i,SV330: $i,SV123: $i,SV727: $i,SV637: $i] :
( ( ( SV637 = SV727 )
| ( s_col @ SV123 @ SV330 @ SV501 )
| ~ ( s_col @ SV123 @ SV330 @ SV637 )
| ~ ( s_col @ SV123 @ SV330 @ SV727 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1575]) ).
thf(1777,plain,
! [SV502: $i,SV638: $i,SV124: $i,SV331: $i] :
( ( ( s_r @ SV331 @ SV124 @ SV638 )
= $true )
| ( ( ~ ( s_r @ SV124 @ SV331 @ SV502 )
| ~ ( s_m @ ( s @ SV124 @ SV502 ) @ SV638 @ ( s @ SV331 @ SV502 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1778,plain,
! [SV503: $i,SV332: $i,SV639: $i,SV125: $i] :
( ( ( SV125 != SV639 )
= $true )
| ( ( ( SV332 = SV503 )
| ~ ( s_r @ SV125 @ SV332 @ SV503 )
| ~ ( s_m @ ( s @ SV125 @ SV503 ) @ SV639 @ ( s @ SV332 @ SV503 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1779,plain,
! [SV640: $i,SV504: $i,SV333: $i,SV126: $i] :
( ( ( ~ ( perp @ SV126 @ SV333 @ SV504 @ SV640 ) )
= $true )
| ( ( perp @ SV333 @ SV126 @ SV504 @ SV640 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1578]) ).
thf(1780,plain,
! [SV641: $i,SV505: $i,SV728: $i,SV334: $i,SV127: $i] :
( ( ( s_col @ SV127 @ SV334 @ SV728 )
| ( SV127 = SV334 )
| ( SV505 = SV641 )
| ~ ( s_col @ SV127 @ SV334 @ SV505 )
| ~ ( s_col @ SV127 @ SV334 @ SV641 )
| ~ ( s_col @ SV505 @ SV641 @ SV728 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(1781,plain,
! [SV729: $i,SV642: $i,SV335: $i,SV506: $i,SV128: $i] :
( ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
| ~ ( le @ SV128 @ SV335 @ SV506 @ SV642 )
| ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
| ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 )
| ~ ( s_t @ SV335 @ SV729 @ SV642 )
| ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(1782,plain,
! [SV643: $i,SV730: $i,SV130: $i,SV507: $i,SV337: $i] :
( ( ! [SY2907: $i,SY2908: $i] :
( ( s_m @ SV337 @ SY2908 @ SV507 )
| ( SY2908
!= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SY2907 ) )
| ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 )
| ~ ( s_t @ SV130 @ SV730 @ SV643 )
| ~ ( s_t @ SV507 @ SY2907 @ SV643 )
| ~ ( s_e @ SV337 @ SV130 @ SV507 @ SY2907 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(1783,plain,
! [SV338: $i,SV508: $i,SV644: $i,SV731: $i,SV131: $i] :
( ( ! [SY2909: $i,SY2910: $i] :
( ( s_m @ SV131 @ SY2910 @ SY2909 )
| ( SY2910
!= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SY2909 ) )
| ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 )
| ~ ( s_t @ SV131 @ SV731 @ SV644 )
| ~ ( s_t @ SV508 @ SY2909 @ SV644 )
| ~ ( s_e @ SV338 @ SV131 @ SV508 @ SY2909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(1784,plain,
! [SV732: $i,SV645: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ! [SY2911: $i] :
( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SY2911 )
| ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
| ~ ( s_col @ SV339 @ SV509 @ SV732 )
| ~ ( s_t @ SV132 @ SV732 @ SV645 )
| ~ ( s_t @ SV509 @ SY2911 @ SV645 )
| ~ ( s_e @ SV339 @ SV132 @ SV509 @ SY2911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(1785,plain,
! [SV340: $i,SV646: $i,SV510: $i,SV133: $i] :
( ( ( s_col @ SV133 @ SV510 @ SV646 )
= $true )
| ( ( ( SV133 = SV340 )
| ~ ( s_col @ SV133 @ SV340 @ SV510 )
| ~ ( s_col @ SV133 @ SV340 @ SV646 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1584]) ).
thf(1786,plain,
! [SV647: $i,SV511: $i,SV733: $i,SV341: $i,SV134: $i] :
( ( ! [SY2912: $i,SY2913: $i] :
( ( perpAt @ SV134 @ SV341 @ SV733 @ SY2912 @ SY2913 )
| ( SV134 = SV341 )
| ( SV511 = SV647 )
| ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SV647 )
| ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SY2912 @ SY2913 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(1787,plain,
! [SV648: $i,SV512: $i,SV734: $i,SV342: $i,SV135: $i] :
( ( ! [SY2914: $i] :
( ( perp @ SV135 @ SV342 @ SV734 @ SY2914 )
| ( SV135 = SV342 )
| ( SV512 = SV648 )
| ~ ( s_col @ SV135 @ SV342 @ SV512 )
| ~ ( s_col @ SV135 @ SV342 @ SV648 )
| ~ ( perp @ SV512 @ SV648 @ SV734 @ SY2914 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(1788,plain,
! [SV513: $i,SV649: $i,SV136: $i,SV343: $i] :
( ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true )
| ( ( ( SV136 = SV649 )
| ( SV649 = SV513 )
| ( SV343 = SV513 )
| ( SV136 = SV343 )
| ( SV136 = SV513 )
| ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 )
| ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(1789,plain,
! [SV650: $i,SV514: $i,SV344: $i,SV137: $i] :
( ( ( ~ ( perp @ SV137 @ SV344 @ SV514 @ SV650 ) )
= $true )
| ( ( perp @ SV137 @ SV344 @ SV650 @ SV514 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1588]) ).
thf(1790,plain,
! [SV345: $i,SV138: $i,SV735: $i,SV651: $i,SV515: $i] :
( ( ! [SY2915: $i] :
( ( perp @ SV515 @ SV651 @ SV735 @ SY2915 )
| ( SV138 = SV345 )
| ( SV515 = SV651 )
| ~ ( s_col @ SV138 @ SV345 @ SV515 )
| ~ ( s_col @ SV138 @ SV345 @ SV651 )
| ~ ( perp @ SV138 @ SV345 @ SV735 @ SY2915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(1791,plain,
( ( ( ~ ( s_col @ xa @ xb @ xp ) )
= $true )
| ( ( ~ ( s_col @ xa @ xb @ xq ) )
= $true )
| ( ( xp = xq )
= $true )
| ( ( xa = xb )
= $true )
| ( ( perp @ xc @ xd @ xp @ xq )
= $true )
| ( ( ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1590]) ).
thf(1792,plain,
! [SV346: $i,SV516: $i,SV139: $i,SV736: $i,SV652: $i] :
( ( ( samesideline @ SV652 @ SV736 @ SV139 @ SV516 )
| ( SV139 = SV516 )
| ~ ( s_col @ SV139 @ SV346 @ SV516 )
| ( SV139 = SV346 )
| ~ ( samesideline @ SV652 @ SV736 @ SV139 @ SV346 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(1793,plain,
! [SV140: $i,SV347: $i,SV653: $i,SV517: $i] :
( ( ( samesideline @ SV517 @ SV653 @ SV347 @ SV140 )
= $true )
| ( ( ( SV140 = SV347 )
| ~ ( samesideline @ SV517 @ SV653 @ SV140 @ SV347 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1592]) ).
thf(1794,plain,
! [SV654: $i,SV518: $i,SV348: $i,SV141: $i] :
( ( ( ~ ( opposite @ SV141 @ SV348 @ SV518 @ SV654 ) )
= $true )
| ( ( opposite @ SV654 @ SV348 @ SV518 @ SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1593]) ).
thf(1795,plain,
! [SV737: $i,SV142: $i,SV655: $i,SV519: $i,SV349: $i] :
( ( ! [SY2916: $i,SY2917: $i] :
( ( opposite @ SY2917 @ SV349 @ SV519 @ SV655 )
| ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV737 )
| ~ ( s_m @ SV142 @ SV737 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SY2916 )
| ~ ( sameside @ SV142 @ SY2916 @ SY2917 )
| ~ ( s_t @ SY2916 @ SY2917 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1594]) ).
thf(1796,plain,
! [SV738: $i,SV143: $i,SV656: $i,SV520: $i,SV350: $i] :
( ( ! [SY2918: $i,SY2919: $i] :
( ( opposite @ SY2919 @ SV350 @ SV520 @ SV656 )
| ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV738 )
| ~ ( s_m @ SV143 @ SV738 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SY2918 )
| ~ ( sameside @ SV143 @ SY2918 @ SY2919 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(1797,plain,
! [SV521: $i,SV351: $i,SV144: $i] :
( ( ( sameside @ SV144 @ SV351 @ SV521 )
= $false )
| ( ( ! [SY2474: $i] : ( sameside @ ( s @ SY2474 @ SV144 ) @ ( s @ SY2474 @ SV351 ) @ ( s @ SY2474 @ SV521 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1798,plain,
! [SV522: $i,SV352: $i,SV145: $i,SV657: $i,SV739: $i] :
( ( ! [SY2920: $i,SY2921: $i,SY2922: $i] :
( ( sameside @ ( s @ SY2921 @ SY2922 ) @ SV739 @ SV657 )
| ( SY2920 = SV739 )
| ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SY2920 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SY2920 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
| ~ ( s_m @ SY2920 @ SY2921 @ SV739 )
| ~ ( sameside @ SY2922 @ SY2920 @ SV145 )
| ~ ( le @ SV739 @ SV657 @ SY2920 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(1799,plain,
! [SV658: $i,SV523: $i,SV353: $i,SV146: $i,SV740: $i] :
( ( ! [SY2923: $i,SY2924: $i,SY2925: $i] :
( ( SY2923 = SV740 )
| ( sameside @ SY2925 @ SY2923 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SY2923 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SY2923 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
| ~ ( s_m @ SY2923 @ SY2924 @ SV740 )
| ~ ( le @ SV740 @ SV658 @ SY2923 @ SV146 )
| ~ ( sameside @ ( s @ SY2924 @ SY2925 ) @ SV740 @ SV658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(1800,plain,
! [SV524: $i,SV354: $i,SV147: $i,SV659: $i,SV741: $i] :
( ( ! [SY2926: $i,SY2927: $i,SY2928: $i] :
( ( sameside @ ( s @ SY2927 @ SY2928 ) @ SV741 @ SV659 )
| ( SY2926 != SV741 )
| ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SY2926 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SY2926 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
| ~ ( s_m @ SY2926 @ SY2927 @ SV741 )
| ~ ( sameside @ SY2928 @ SY2926 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(1801,plain,
! [SV525: $i,SV355: $i,SV148: $i,SV660: $i,SV742: $i] :
( ( ! [SY2929: $i,SY2930: $i,SY2931: $i] :
( ( sameside @ ( s @ SY2930 @ SY2931 ) @ SV742 @ SV660 )
| ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SY2929 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SY2929 )
| ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
| ~ ( s_m @ SY2929 @ SY2930 @ SV742 )
| ~ ( sameside @ SY2931 @ SY2929 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(1802,plain,
! [SV743: $i,SV661: $i,SV149: $i,SV526: $i,SV356: $i] :
( ( ! [SY2932: $i,SY2933: $i,SY2934: $i,SY2935: $i] :
( ( opposite @ SY2934 @ SV356 @ SV526 @ SY2935 )
| ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SY2932 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SY2932 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
| ~ ( s_m @ SY2932 @ SY2933 @ SV743 )
| ~ ( sameside @ SY2934 @ SY2932 @ SV149 )
| ~ ( sameside @ SY2935 @ SV743 @ SV661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(1803,plain,
! [SV744: $i,SV150: $i,SV662: $i,SV527: $i,SV357: $i] :
( ( ! [SY2936: $i] :
( ( opposite @ SY2936 @ SV357 @ SV527 @ SV662 )
| ~ ( opposite @ SV150 @ SV357 @ SV527 @ SV662 )
| ~ ( s_col @ SV357 @ SV527 @ SV744 )
| ~ ( sameside @ SV150 @ SV744 @ SY2936 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(1804,plain,
! [SV745: $i,SV663: $i,SV528: $i,SV358: $i,SV151: $i] :
( ( ~ ( opposite @ SV151 @ SV358 @ SV528 @ SV663 )
| ( opposite @ SV745 @ SV358 @ SV528 @ SV663 )
| ~ ( samesideline @ SV151 @ SV745 @ SV358 @ SV528 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1603]) ).
thf(1805,plain,
! [SV664: $i,SV529: $i,SV359: $i,SV152: $i] :
( ( ( ~ ( opposite @ SV152 @ SV359 @ SV529 @ SV664 ) )
= $true )
| ( ( ~ ( samesideline @ SV152 @ SV664 @ SV359 @ SV529 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1604]) ).
thf(1806,plain,
! [SV665: $i,SV360: $i,SV153: $i,SV746: $i,SV530: $i] :
( ( ( samesideline @ SV530 @ SV746 @ SV153 @ SV360 )
| ( SV153 = SV360 )
| ~ ( samesideline @ SV530 @ SV665 @ SV153 @ SV360 )
| ~ ( samesideline @ SV665 @ SV746 @ SV153 @ SV360 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(1807,plain,
! [SV666: $i,SV531: $i,SV361: $i,SV154: $i] :
( ( ( ~ ( samesideline @ SV154 @ SV361 @ SV531 @ SV666 ) )
= $true )
| ( ( samesideline @ SV154 @ SV361 @ SV666 @ SV531 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1606]) ).
thf(1808,plain,
! [SV532: $i,SV667: $i,SV362: $i,SV155: $i] :
( ( ( s_col @ SV155 @ SV362 @ SV667 )
= $true )
| ( ( ! [SY2786: $i] :
( ( SV155 = SV362 )
| ~ ( s_m @ SV532 @ SV667 @ SY2786 )
| ~ ( s_col @ SV155 @ SV362 @ SV532 )
| ~ ( s_col @ SV155 @ SV362 @ SY2786 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1607]) ).
thf(1809,plain,
! [SV533: $i,SV363: $i,SV156: $i,SV747: $i,SV668: $i] :
( ( ( samesideline @ SV668 @ SV747 @ SV156 @ SV363 )
| ( SV156 = SV363 )
| ~ ( s_t @ SV363 @ SV156 @ SV533 )
| ~ ( samesideline @ SV668 @ SV747 @ SV533 @ SV363 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1810,plain,
! [SV364: $i,SV157: $i,SV534: $i,SV669: $i] :
( ( ( samesideline @ SV669 @ SV534 @ SV157 @ SV364 )
= $true )
| ( ( ( SV157 = SV364 )
| ~ ( samesideline @ SV534 @ SV669 @ SV157 @ SV364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1609]) ).
thf(1811,plain,
! [SV670: $i,SV748: $i,SV535: $i,SV365: $i,SV158: $i] :
( ( ( opposite @ SV158 @ SV365 @ SV535 @ SV748 )
| ~ ( opposite @ SV158 @ SV365 @ SV535 @ SV670 )
| ~ ( samesideline @ SV670 @ SV748 @ SV365 @ SV535 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(1812,plain,
! [SV366: $i,SV159: $i,SV749: $i,SV671: $i,SV536: $i] :
( ( ( s_col @ SV536 @ SV671 @ SV749 )
| ( SV671 = SV536 )
| ( SV159 = SV366 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV671 @ SV536 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV749 @ SV536 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(1813,plain,
! [SV537: $i,SV367: $i,SV160: $i] :
( ( ( SV160
= ( foot @ SV160 @ SV367 @ SV537 ) )
= $false )
| ( ( ! [SY2519: $i] :
( ( opposite @ SV537 @ SV160 @ SV367 @ SY2519 )
| ( samesideline @ SV537 @ SY2519 @ SV160 @ SV367 )
| ( s_col @ SV160 @ SV367 @ SY2519 )
| ( SV160 = SV367 )
| ( s_col @ SV160 @ SV367 @ SV537 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1814,plain,
! [SV750: $i,SV368: $i,SV161: $i,SV538: $i] :
( ( ( ( opposite @ SV538 @ SV161 @ SV368 @ SV750 )
| ( samesideline @ SV538 @ SV750 @ SV161 @ SV368 )
| ( s_col @ SV161 @ SV368 @ SV750 )
| ( SV161 = SV368 )
| ( s_col @ SV161 @ SV368 @ SV538 ) )
= $true )
| ( ( SV161
= ( foot @ SV161 @ SV368 @ SV538 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(1815,plain,
! [SV672: $i,SV369: $i,SV162: $i,SV539: $i] :
( ( ( opposite @ SV539 @ SV162 @ SV369 @ SV672 )
= $true )
| ( ( ( samesideline @ SV539 @ SV672 @ SV162 @ SV369 )
| ( s_col @ SV162 @ SV369 @ SV672 )
| ( SV162 = SV369 )
| ( s_col @ SV162 @ SV369 @ SV539 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1614]) ).
thf(1816,plain,
! [SV163: $i,SV673: $i,SV540: $i,SV370: $i,SV751: $i] :
( ( ( samesideline @ SV751 @ SV370 @ SV540 @ SV673 )
| ~ ( samesideline @ SV163 @ SV370 @ SV540 @ SV673 )
| ~ ( sameside @ SV163 @ SV673 @ SV751 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(1817,plain,
! [SV541: $i,SV371: $i,SV164: $i,SV752: $i,SV674: $i] :
( ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
| ( s_col @ SV164 @ SV371 @ SV674 )
| ( SV164 = SV371 )
| ~ ( s_col @ SV164 @ SV371 @ SV541 )
| ~ ( s_col @ SV674 @ SV752 @ SV541 )
| ~ ( sameside @ SV674 @ SV541 @ SV752 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(1818,plain,
! [SV542: $i,SV675: $i,SV372: $i,SV165: $i] :
( ( ( ( reflect @ SV165 @ SV372 @ SV675 )
= SV542 )
= $true )
| ( ( ( ( reflect @ SV165 @ SV372 @ SV542 )
!= SV675 )
| ( SV165 = SV372 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1617]) ).
thf(1819,plain,
! [SV677: $i,SV374: $i,SV167: $i,SV543: $i] :
( ( ( SV543
= ( reflect @ SV167 @ SV374 @ SV677 ) )
= $true )
| ( ( ( ( reflect @ SV167 @ SV374 @ SV543 )
!= SV677 )
| ( SV167 = SV374 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1619]) ).
thf(1820,plain,
! [SV375: $i,SV168: $i,SV678: $i,SV544: $i] :
( ( ( SV544 = SV678 )
= $true )
| ( ( ( ( reflect @ SV168 @ SV375 @ SV544 )
!= ( reflect @ SV168 @ SV375 @ SV678 ) )
| ( SV168 = SV375 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1620]) ).
thf(1821,plain,
! [SV545: $i,SV376: $i,SV169: $i] :
( ( ( ( reflect @ SV169 @ SV376 @ SV545 )
!= SV545 )
= $true )
| ( ( SV169 = SV376 )
= $true )
| ( ( s_col @ SV169 @ SV376 @ SV545 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1621]) ).
thf(1822,plain,
! [SV546: $i,SV377: $i,SV170: $i] :
( ( ( SV170 = SV377 )
= $true )
| ( ( ~ ( s_col @ SV170 @ SV377 @ SV546 ) )
= $true )
| ( ( ( reflect @ SV170 @ SV377 @ SV546 )
= SV546 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1622]) ).
thf(1823,plain,
! [SV378: $i,SV171: $i,SV753: $i,SV547: $i] :
( ( ( s_e @ SV547 @ SV753 @ ( reflect @ SV171 @ SV378 @ SV547 ) @ ( reflect @ SV171 @ SV378 @ SV753 ) )
= $true )
| ( ( ( SV171 = SV378 )
| ~ ( s_col @ SV171 @ SV378 @ SV547 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(1824,plain,
! [SV379: $i,SV172: $i,SV754: $i,SV679: $i] :
( ( ( s_e @ SV679 @ SV754 @ ( reflect @ SV172 @ SV379 @ SV679 ) @ ( reflect @ SV172 @ SV379 @ SV754 ) )
= $true )
| ( ( SV172 = SV379 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(1825,plain,
! [SV380: $i,SV680: $i,SV548: $i,SV173: $i] :
( ( ( s_e @ SV173 @ SV548 @ SV680 @ SV548 )
= $true )
| ( ( ~ ( s_r @ SV173 @ SV380 @ SV548 )
| ~ ( s_r @ SV680 @ SV380 @ SV548 )
| ~ ( s_e @ SV173 @ SV380 @ SV680 @ SV380 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1826,plain,
! [SV681: $i,SV174: $i,SV381: $i,SV755: $i,SV549: $i] :
( ( ( SV549 = SV755 )
| ( SV381
!= ( midpoint @ SV549 @ SV755 ) )
| ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
| ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SV681 @ SV381 @ SV755 )
| ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 )
| ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(1827,plain,
! [SV382: $i,SV756: $i,SV682: $i,SV550: $i,SV175: $i] :
( ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
| ~ ( s_r @ SV175 @ SV382 @ SV550 )
| ~ ( s_r @ SV682 @ SV382 @ SV756 )
| ~ ( s_e @ SV175 @ SV382 @ SV682 @ SV382 )
| ~ ( s_e @ SV382 @ SV550 @ SV382 @ SV756 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1828,plain,
! [SV757: $i,SV383: $i,SV683: $i,SV551: $i,SV176: $i] :
( ( ! [SY2937: $i] :
( ( s_e @ SV176 @ SV551 @ SV683 @ SY2937 )
| ~ ( s_r @ SV176 @ SV383 @ SV551 )
| ~ ( s_r @ SV683 @ SV757 @ SY2937 )
| ~ ( s_e @ SV176 @ SV383 @ SV683 @ SV757 )
| ~ ( s_e @ SV383 @ SV551 @ SV757 @ SY2937 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(1829,plain,
! [SV178: $i,SV385: $i] :
( ( ! [SY2129: $i,SY2130: $i] : ( s_e @ SV385 @ ( ext @ SV178 @ SV385 @ SY2129 @ SY2130 ) @ SY2129 @ SY2130 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1830,plain,
! [SV385: $i,SV178: $i] :
( ( ! [SY2131: $i,SY2132: $i] : ( s_t @ SV178 @ SV385 @ ( ext @ SV178 @ SV385 @ SY2131 @ SY2132 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1831,plain,
! [SV386: $i,SV179: $i] :
( ( ! [SY2133: $i,SY2134: $i] :
( ( SY2134
= ( reflect @ SV179 @ SV386 @ SY2133 ) )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SY2133 @ SY2134 ) )
| ~ ( perp @ SV179 @ SV386 @ SY2133 @ SY2134 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1632]) ).
thf(1832,plain,
! [SV386: $i,SV179: $i] :
( ( ! [SY2135: $i,SY2136: $i] :
( ( SY2136
= ( reflect @ SV179 @ SV386 @ SY2135 ) )
| ( SY2135 != SY2136 )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SY2135 @ SY2136 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1633]) ).
thf(1833,plain,
( ( ~ ~ ( s_t @ alpha @ beta @ gamma ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1834,plain,
( ( ~ ~ ( s_t @ beta @ gamma @ alpha ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1835,plain,
! [SV180: $i] :
( ( ~ ! [SY1492: $i] :
( ( SV180 = SY1492 )
| ! [SY1493: $i] : ( perp @ SV180 @ SY1492 @ ( erect @ SV180 @ SY1492 @ SY1493 ) @ SV180 ) )
| ~ ! [SY1494: $i] :
( ( SV180 = SY1494 )
| ! [SY1495: $i] : ( s_col @ SV180 @ SY1494 @ ( erectAux @ SV180 @ SY1494 @ SY1495 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1636]) ).
thf(1836,plain,
! [SV758: $i,SV180: $i] :
( ( ( SV180 = SV758 )
| ! [SY2938: $i] : ( s_t @ SY2938 @ ( erectAux @ SV180 @ SV758 @ SY2938 ) @ ( erect @ SV180 @ SV758 @ SY2938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(1837,plain,
! [SV387: $i,SV181: $i] :
( ( ~ ( ~ ! [SY2137: $i,SY2138: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2137 @ SY2138 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SY2137 @ SY2138 @ SV181 @ SV387 ) ) )
| ~ ! [SY2139: $i,SY2140: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2139 @ SY2140 )
| ( s_e @ SV181 @ ( ins @ SY2139 @ SY2140 @ SV181 @ SV387 ) @ SY2139 @ SY2140 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1638]) ).
thf(1838,plain,
! [SV387: $i,SV181: $i] :
( ( ! [SY2141: $i,SY2142: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2141 @ SY2142 )
| ( ( ins @ SY2141 @ SY2142 @ SV181 @ SV387 )
= ( ext @ SV181 @ SV387 @ ( insert @ SV181 @ SV387 @ SY2141 @ SY2142 ) @ SY2142 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1839,plain,
! [SV182: $i] :
( ( ~ ! [SY1505: $i,SY1506: $i] :
( ~ ( s_m @ SV182 @ SY1505 @ SY1506 )
| ( s_t @ SV182 @ SY1505 @ SY1506 ) )
| ~ ! [SY1507: $i,SY1508: $i] :
( ~ ( s_m @ SV182 @ SY1507 @ SY1508 )
| ( s_e @ SY1507 @ SV182 @ SY1507 @ SY1508 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1840,plain,
! [SV759: $i,SV182: $i] :
( ( ! [SY2939: $i] :
( ( s_m @ SV182 @ SV759 @ SY2939 )
| ~ ( s_t @ SV182 @ SV759 @ SY2939 )
| ~ ( s_e @ SV759 @ SV182 @ SV759 @ SY2939 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(1841,plain,
! [SV183: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
| ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) )
| ~ ! [SY1517: $i,SY1518: $i] :
( ( sameside @ SV183 @ SY1517 @ SY1518 )
| ( xb = SY1517 )
| ~ ( s_t @ SY1517 @ SV183 @ SY1518 )
| ( SV183 = SY1517 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1842,plain,
! [SV760: $i,SV183: $i] :
( ( ! [SY2940: $i] :
( ( sameside @ SV183 @ SV760 @ SY2940 )
| ( SY2940 = SV760 )
| ~ ( s_t @ SV760 @ SY2940 @ SV183 )
| ( SV183 = SV760 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(1843,plain,
! [SV184: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
| ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) )
| ~ ! [SY1527: $i,SY1528: $i] :
( ~ ( sameside @ SV184 @ SY1527 @ SY1528 )
| ( s_t @ SV184 @ SY1527 @ ( c63 @ SV184 @ SY1527 @ SY1528 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1844,plain,
! [SV761: $i,SV184: $i] :
( ( ! [SY2941: $i] :
( ~ ( sameside @ SV184 @ SV761 @ SY2941 )
| ( s_t @ SY2941 @ SV761 @ ( c63 @ SV184 @ SV761 @ SY2941 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(1845,plain,
! [SV762: $i,SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV388 ) ) )
| ~ ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ SV388 )
| ( s_col @ SV553 @ SV685 @ SV185 )
| ! [SY2942: $i,SY2943: $i] :
( ( SV388 = SY2943 )
| ( SV185 = SV762 )
| ( SY2942 = SY2943 )
| ( SY2942 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SY2942 )
| ~ ( s_t @ SV388 @ SY2943 @ SY2942 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SY2943 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(1846,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
| ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) )
| ~ ! [SY2547: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2547 )
| ( s_t @ SV554 @ ( il @ SV554 @ SY2547 @ SV186 @ SV389 ) @ SY2547 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1847,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ! [SY2548: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2548 )
| ( s_col @ SV186 @ SV389 @ ( il @ SV554 @ SY2548 @ SV186 @ SV389 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1848,plain,
! [SV390: $i,SV187: $i,SV555: $i] :
( ( ~ ! [SY2549: $i,SY2550: $i] :
( ( SY2549 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SY2549 )
| ~ ( s_col @ SV187 @ SV390 @ SY2550 )
| ~ ( perp @ SV187 @ SV390 @ SY2550 @ SV555 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1849,plain,
! [SV390: $i,SV187: $i,SV555: $i] :
( ( ~ ! [SY2551: $i,SY2552: $i] :
( ( s_r @ SY2552 @ SV555 @ SY2551 )
| ( SY2551 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SY2551 )
| ~ ( perp @ SV187 @ SV390 @ SY2552 @ SV555 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1648]) ).
thf(1850,plain,
! [SV763: $i,SV188: $i] :
( ( ! [SY2944: $i] :
( ~ ( s_r @ SV188 @ SV763 @ SY2944 )
| ( s_e @ SV188 @ SY2944 @ SV188 @ ( s @ SV763 @ SY2944 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(1851,plain,
! [SV764: $i,SV188: $i] :
( ( ! [SY2945: $i] :
( ( s_r @ SV188 @ SV764 @ SY2945 )
| ~ ( s_e @ SV188 @ SY2945 @ SV188 @ ( s @ SV764 @ SY2945 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(1852,plain,
! [SV189: $i] :
( ( ~ ~ ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) )
| ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) )
| ~ ! [SY1559: $i,SY1560: $i] :
( ( s_col @ SV189 @ SY1559 @ SY1560 )
| ~ ( s_t @ SY1559 @ SY1560 @ SV189 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1853,plain,
! [SV765: $i,SV189: $i] :
( ( ! [SY2946: $i] :
( ( s_col @ SV189 @ SV765 @ SY2946 )
| ~ ( s_t @ SY2946 @ SV189 @ SV765 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1652]) ).
thf(1854,plain,
! [SV556: $i,SV391: $i,SV190: $i] :
( ( ~ ! [SY2553: $i,SY2554: $i] :
( ( s_t @ SY2553 @ ( insert @ SV190 @ SV391 @ SY2553 @ SY2554 ) @ SY2554 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SY2553 @ SY2554 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1855,plain,
! [SV556: $i,SV391: $i,SV190: $i] :
( ( ~ ! [SY2555: $i,SY2556: $i] :
( ( s_e3 @ SV190 @ SV391 @ SV556 @ SY2555 @ ( insert @ SV190 @ SV391 @ SY2555 @ SY2556 ) @ SY2556 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SY2555 @ SY2556 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1856,plain,
! [SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY2947: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2948: $i,SY2949: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SY2947 @ SY2948 @ SY2949 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY2950: $i] :
( ! [SY2951: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SY2947 @ SY2950 @ SY2951 )
| ( s_t @ SV766 @ SY2947 @ SY2950 ) ) )
| ~ ( ! [SY2952: $i,SY2953: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SY2947 @ SY2952 @ SY2953 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SY2947 ) ) )
| ~ ! [SY2954: $i] :
( ! [SY2955: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SY2947 @ SY2954 @ SY2955 )
| ( s_e @ SV392 @ SV557 @ SY2947 @ SY2954 ) ) )
| ~ ! [SY2956: $i,SY2957: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SY2947 @ SY2956 @ SY2957 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY2957 ) ) )
| ~ ! [SY2958: $i,SY2959: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SY2947 @ SY2958 @ SY2959 )
| ( s_e @ SV392 @ SV686 @ SY2947 @ SY2959 ) ) )
| ~ ! [SY2960: $i,SY2961: $i] :
( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SY2947 @ SY2960 @ SY2961 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SY2947 @ SY2960 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SY2947 )
| ~ ( s_e @ SV392 @ SV557 @ SY2947 @ SY2960 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SY2961 )
| ~ ( s_e @ SV392 @ SV686 @ SY2947 @ SY2961 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(1857,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 )
| ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(1858,plain,
! [SV559: $i,SV193: $i,SV394: $i] :
( ( ~ ! [SY2578: $i,SY2579: $i] :
( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SY2578 @ SY2579 ) @ SY2578 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SY2578 @ SY2579 @ SV559 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1859,plain,
! [SV559: $i,SV394: $i,SV193: $i] :
( ( ~ ! [SY2580: $i,SY2581: $i] :
( ( s_t @ SY2581 @ ( ip @ SV193 @ SV394 @ SV559 @ SY2580 @ SY2581 ) @ SV193 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SY2580 @ SY2581 @ SV559 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1656]) ).
thf(1860,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
| ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) )
| ~ ! [SY2596: $i,SY2597: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2596 @ SY2597 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SY2596 @ SY2597 @ SV560 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1657]) ).
thf(1861,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ! [SY2598: $i,SY2599: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2598 @ SY2599 )
| ( s_r @ ( f813 @ SV194 @ SV395 @ SY2598 @ SY2599 @ SV560 ) @ SV560 @ ( g813 @ SV194 @ SV395 @ SY2598 @ SY2599 @ SV560 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1657]) ).
thf(1862,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ~ ( ~ ! [SY2600: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2600 )
| ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2600 ) @ SY2600 ) )
| ~ ! [SY2601: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2601 )
| ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2601 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1863,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ! [SY2602: $i] :
( ( le @ SV195 @ SV396 @ SV561 @ SY2602 )
| ! [SY2603: $i] :
( ~ ( s_t @ SV561 @ SY2603 @ SY2602 )
| ~ ( s_e @ SV195 @ SV396 @ SV561 @ SY2603 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1864,plain,
! [SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ~ ! [SY2819: $i,SY2820: $i] :
( ( s_t @ SY2820 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SY2819 @ SY2820 ) @ SV562 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SY2819 @ SV562 )
| ~ ( s_t @ SV196 @ SY2820 @ SV688 ) )
| ~ ! [SY2821: $i,SY2822: $i] :
( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SY2821 @ SY2822 ) @ SY2821 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SY2821 @ SV562 )
| ~ ( s_t @ SV196 @ SY2822 @ SV688 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1865,plain,
! [SV398: $i,SV563: $i,SV197: $i] :
( ( ~ ! [SY2609: $i,SY2610: $i] :
( ( s_t @ SV197 @ ( op @ SY2610 @ SY2609 @ SV563 @ SV398 @ SV197 ) @ SY2609 )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SY2609 @ SY2610 @ SV398 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1866,plain,
! [SV197: $i,SV398: $i,SV563: $i] :
( ( ~ ! [SY2611: $i,SY2612: $i] :
( ( s_t @ SV563 @ SY2612 @ ( op @ SY2612 @ SY2611 @ SV563 @ SV398 @ SV197 ) )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SY2611 @ SY2612 @ SV398 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1660]) ).
thf(1867,plain,
! [SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY2964: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2965: $i,SY2966: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SY2964 @ SY2965 @ SY2966 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY2967: $i] :
( ! [SY2968: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SY2964 @ SY2967 @ SY2968 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SY2964 @ SY2967 ) ) )
| ~ ! [SY2969: $i,SY2970: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SY2964 @ SY2969 @ SY2970 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY2970 ) ) )
| ~ ! [SY2971: $i,SY2972: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SY2964 @ SY2971 @ SY2972 )
| ( s_e @ SV399 @ SV689 @ SY2964 @ SY2972 ) ) )
| ~ ! [SY2973: $i,SY2974: $i] :
( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SY2964 @ SY2973 @ SY2974 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SY2964 @ SY2973 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SY2974 )
| ~ ( s_e @ SV399 @ SV689 @ SY2964 @ SY2974 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(1868,plain,
( ( ~ ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1663]) ).
thf(1869,plain,
( ( ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ~ ( ( sK1_Xa != sK2_SY900 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1663]) ).
thf(1870,plain,
! [SV769: $i,SV199: $i] :
( ( ( SV199 = SV769 )
| ! [SY2975: $i] : ( s_col @ SV199 @ SV769 @ ( midpoint @ SY2975 @ ( reflect @ SV199 @ SV769 @ SY2975 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(1871,plain,
! [SV770: $i,SV199: $i] :
( ( ! [SY2976: $i] :
( ( perp @ SV199 @ SV770 @ SY2976 @ ( reflect @ SV199 @ SV770 @ SY2976 ) )
| ( SV199 = SV770 )
| ( SY2976
= ( reflect @ SV199 @ SV770 @ SY2976 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(1872,plain,
! [SV200: $i] :
( ( ~ ! [SY1658: $i,SY1659: $i] :
( ( s_col @ SV200 @ SY1658 @ SY1659 )
| ( SV200 = SY1658 )
| ( perp @ SV200 @ SY1658 @ ( erect21a @ SV200 @ SY1658 @ SY1659 ) @ SV200 ) )
| ~ ! [SY1660: $i,SY1661: $i] :
( ( s_col @ SV200 @ SY1660 @ SY1661 )
| ( SV200 = SY1660 )
| ( s_col @ SV200 @ SY1660 @ ( erectAux21a @ SV200 @ SY1660 @ SY1661 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1873,plain,
! [SV771: $i,SV200: $i] :
( ( ! [SY2977: $i] :
( ( s_col @ SV200 @ SV771 @ SY2977 )
| ( SV200 = SV771 )
| ( s_t @ SY2977 @ ( erectAux21a @ SV200 @ SV771 @ SY2977 ) @ ( erect21a @ SV200 @ SV771 @ SY2977 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(1874,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
| ~ ! [SY2988: $i,SY2989: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2988 @ SY2989 )
| ( s_m @ SY2989 @ SY2988 @ SV772 ) ) )
| ~ ! [SY2990: $i,SY2991: $i] :
( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2990 @ SY2991 )
| ~ ( s_t @ SV201 @ SV690 @ SY2991 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SY2991 @ SV690 @ SV772 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SY2991 @ SY2990 @ SV772 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(1875,plain,
! [SV773: $i,SV202: $i] :
( ( ! [SY2992: $i] :
( ~ ( sameside @ SV202 @ SV773 @ SY2992 )
| ( s_col @ SV202 @ SV773 @ SY2992 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(1876,plain,
! [SV774: $i,SV202: $i] :
( ( ! [SY2993: $i] :
( ~ ( sameside @ SV202 @ SV774 @ SY2993 )
| ~ ( s_t @ SV202 @ SV774 @ SY2993 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1670]) ).
thf(1877,plain,
! [SV566: $i,SV401: $i,SV203: $i] :
( ( ~ ! [SY2642: $i] :
( ~ ( perp @ SV203 @ SV401 @ SV566 @ SY2642 )
| ( perpAt @ SV203 @ SV401 @ ( il @ SV203 @ SV401 @ SV566 @ SY2642 ) @ SV566 @ SY2642 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1878,plain,
! [SV566: $i,SV401: $i,SV203: $i] :
( ( ~ ! [SY2643: $i] :
( ( perp @ SV203 @ SV401 @ SV566 @ SY2643 )
| ! [SY2644: $i] :
~ ( perpAt @ SV203 @ SV401 @ SY2644 @ SV566 @ SY2643 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1879,plain,
! [SV204: $i,SV402: $i] :
( ( ! [SY2263: $i,SY2264: $i] :
( ( sameside @ ( insert @ SY2263 @ SY2264 @ SV402 @ SV204 ) @ SV402 @ SV204 )
| ( SV204 = SV402 )
| ( SY2263 = SY2264 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1880,plain,
! [SV204: $i,SV402: $i] :
( ( ! [SY2265: $i,SY2266: $i] :
( ( s_e @ SV402 @ ( insert @ SY2265 @ SY2266 @ SV402 @ SV204 ) @ SY2265 @ SY2266 )
| ( SV204 = SV402 )
| ( SY2265 = SY2266 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1881,plain,
! [SV775: $i,SV205: $i] :
( ( ! [SY2994: $i] :
( ( s_col @ SV205 @ SV775 @ SY2994 )
| ( s_col @ SV205 @ SV775 @ ( foot @ SV205 @ SV775 @ SY2994 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(1882,plain,
! [SV776: $i,SV205: $i] :
( ( ! [SY2995: $i] :
( ( perp @ SV205 @ SV776 @ SY2995 @ ( foot @ SV205 @ SV776 @ SY2995 ) )
| ( s_col @ SV205 @ SV776 @ SY2995 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(1883,plain,
! [SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY2996: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2997: $i,SY2998: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SY2996 @ SY2997 @ SY2998 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY2999: $i] :
( ! [SY3000: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SY2996 @ SY2999 @ SY3000 )
| ( s_t @ SV777 @ SY2996 @ SY2999 ) ) )
| ~ ! [SY3001: $i] :
( ! [SY3002: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SY2996 @ SY3001 @ SY3002 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3001 ) ) )
| ~ ! [SY3003: $i] :
( ! [SY3004: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SY2996 @ SY3003 @ SY3004 )
| ( s_e @ SV403 @ SV567 @ SY2996 @ SY3003 ) ) )
| ~ ! [SY3005: $i,SY3006: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SY2996 @ SY3005 @ SY3006 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3006 ) ) )
| ~ ! [SY3007: $i,SY3008: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SY2996 @ SY3007 @ SY3008 )
| ( s_e @ SV567 @ SV691 @ SY3007 @ SY3008 ) ) )
| ~ ! [SY3009: $i,SY3010: $i] :
( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SY2996 @ SY3009 @ SY3010 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SY2996 @ SY3009 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SY3009 )
| ~ ( s_e @ SV403 @ SV567 @ SY2996 @ SY3009 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SY3010 )
| ~ ( s_e @ SV567 @ SV691 @ SY3009 @ SY3010 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(1884,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) )
| ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) )
| ~ ! [SY2870: $i,SY2871: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2870 @ SY2871 )
| ( s_e @ SV404 @ SV568 @ SY2870 @ SY2871 ) ) )
| ~ ! [SY2872: $i,SY2873: $i] :
( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2872 @ SY2873 )
| ~ ( s_e @ SV207 @ SV404 @ SV692 @ SY2872 )
| ~ ( s_e @ SV207 @ SV568 @ SV692 @ SY2873 )
| ~ ( s_e @ SV404 @ SV568 @ SY2872 @ SY2873 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1885,plain,
! [SV209: $i,SV2: $i,SV778: $i,SV693: $i,SV569: $i,SV405: $i] :
( ( ( s_e @ SV405 @ SV569 @ SV693 @ SV778 )
| ~ ( s_e @ SV2 @ SV209 @ SV405 @ SV569 )
| ~ ( s_e @ SV2 @ SV209 @ SV693 @ SV778 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(1886,plain,
! [SV571: $i,SV406: $i,SV211: $i,SV4: $i,SV779: $i,SV694: $i] :
( ( ! [SY3011: $i,SY3012: $i] :
( ( s_e @ SV694 @ SY3011 @ SV779 @ SY3012 )
| ( SV4 = SV211 )
| ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
| ~ ( s_e @ SV4 @ SY3011 @ SV406 @ SY3012 )
| ~ ( s_e @ SV211 @ SY3011 @ SV571 @ SY3012 )
| ~ ( s_t @ SV4 @ SV211 @ SV694 )
| ~ ( s_t @ SV406 @ SV571 @ SV779 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(1887,plain,
! [SV572: $i,SV407: $i,SV214: $i,SV7: $i] :
( ( ( s_e @ SV7 @ SV214 @ SV407 @ SV572 )
= $false )
| ( ( s_e @ SV407 @ SV572 @ SV7 @ SV214 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1888,plain,
! [SV573: $i,SV408: $i,SV780: $i,SV695: $i,SV215: $i,SV8: $i] :
( ( ( s_e @ SV8 @ SV215 @ SV695 @ SV780 )
| ~ ( s_e @ SV8 @ SV215 @ SV408 @ SV573 )
| ~ ( s_e @ SV408 @ SV573 @ SV695 @ SV780 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(1889,plain,
! [SV574: $i,SV409: $i,SV216: $i,SV9: $i] :
( ( ( s_e @ SV9 @ SV216 @ SV409 @ SV574 )
= $false )
| ( ( s_e @ SV216 @ SV9 @ SV409 @ SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1890,plain,
! [SV575: $i,SV410: $i,SV217: $i,SV10: $i] :
( ( ( s_e @ SV10 @ SV217 @ SV410 @ SV575 )
= $false )
| ( ( s_e @ SV10 @ SV217 @ SV575 @ SV410 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1891,plain,
! [SV696: $i,SV219: $i,SV781: $i,SV576: $i,SV411: $i,SV12: $i] :
( ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
| ~ ( s_t @ SV12 @ SV219 @ SV411 )
| ~ ( s_t @ SV576 @ SV696 @ SV781 )
| ~ ( s_e @ SV12 @ SV219 @ SV576 @ SV696 )
| ~ ( s_e @ SV219 @ SV411 @ SV696 @ SV781 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(1892,plain,
! [SV697: $i,SV577: $i,SV220: $i,SV13: $i,SV412: $i] :
( ( ( SV412
= ( ext @ SV13 @ SV220 @ SV577 @ SV697 ) )
= $true )
| ( ( ( SV13 = SV220 )
| ~ ( s_t @ SV13 @ SV220 @ SV412 )
| ~ ( s_e @ SV220 @ SV412 @ SV577 @ SV697 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1686]) ).
thf(1893,plain,
! [SV579: $i,SV413: $i,SV222: $i,SV15: $i] :
( ( ( s_e @ SV15 @ SV222 @ SV413 @ SV579 )
= $false )
| ( ( s_e @ SV222 @ SV15 @ SV579 @ SV413 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1688]) ).
thf(1894,plain,
! [SV698: $i,SV223: $i,SV782: $i,SV580: $i,SV414: $i,SV16: $i] :
( ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
| ~ ( s_t @ SV16 @ SV223 @ SV414 )
| ~ ( s_t @ SV580 @ SV698 @ SV782 )
| ~ ( s_e @ SV16 @ SV223 @ SV698 @ SV782 )
| ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(1895,plain,
! [SV581: $i,SV227: $i,SV20: $i] :
( ( ( s_t @ SV20 @ SV227 @ SV581 )
= $false )
| ( ( ~ ( s_t @ SV227 @ SV20 @ SV581 ) )
= $true )
| ( ( SV20 = SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1691]) ).
thf(1896,plain,
! [SV582: $i,SV416: $i,SV228: $i,SV21: $i] :
( ( ( ~ ( s_t @ SV21 @ SV228 @ SV416 ) )
= $true )
| ( ( ~ ( s_t @ SV228 @ SV582 @ SV416 ) )
= $true )
| ( ( s_t @ SV21 @ SV228 @ SV582 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1692]) ).
thf(1897,plain,
! [SV583: $i,SV417: $i,SV229: $i,SV22: $i] :
( ( ( ~ ( s_t @ SV22 @ SV229 @ SV417 ) )
= $true )
| ( ( ~ ( s_t @ SV22 @ SV417 @ SV583 ) )
= $true )
| ( ( s_t @ SV229 @ SV417 @ SV583 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1693]) ).
thf(1898,plain,
! [SV584: $i,SV23: $i,SV418: $i,SV230: $i] :
( ( ( SV230 = SV418 )
= $true )
| ( ( ~ ( s_t @ SV23 @ SV230 @ SV418 )
| ~ ( s_t @ SV230 @ SV418 @ SV584 ) )
= $true )
| ( ( s_t @ SV23 @ SV418 @ SV584 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1694]) ).
thf(1899,plain,
! [SV585: $i,SV419: $i,SV231: $i,SV24: $i] :
( ( ( ~ ( s_t @ SV24 @ SV231 @ SV419 ) )
= $true )
| ( ( ~ ( s_t @ SV231 @ SV585 @ SV419 ) )
= $true )
| ( ( s_t @ SV24 @ SV585 @ SV419 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1695]) ).
thf(1900,plain,
! [SV586: $i,SV420: $i,SV232: $i,SV25: $i] :
( ( ( ~ ( s_t @ SV25 @ SV232 @ SV420 ) )
= $true )
| ( ( ~ ( s_t @ SV25 @ SV420 @ SV586 ) )
= $true )
| ( ( s_t @ SV25 @ SV232 @ SV586 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1696]) ).
thf(1901,plain,
! [SV587: $i,SV26: $i,SV421: $i,SV233: $i] :
( ( ( SV233 = SV421 )
= $true )
| ( ( ~ ( s_t @ SV26 @ SV233 @ SV421 )
| ~ ( s_t @ SV233 @ SV421 @ SV587 ) )
= $true )
| ( ( s_t @ SV26 @ SV233 @ SV587 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1697]) ).
thf(1902,plain,
! [SV783: $i,SV699: $i,SV588: $i,SV422: $i,SV236: $i,SV29: $i] :
( ( ! [SY3013: $i,SY3014: $i] :
( ~ ( s_ifs @ SV29 @ SV236 @ SV422 @ SV588 @ SV699 @ SV783 @ SY3013 @ SY3014 )
| ( s_e @ SV236 @ SV588 @ SV783 @ SY3014 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1698]) ).
thf(1903,plain,
! [SV423: $i,SV700: $i,SV589: $i,SV237: $i,SV30: $i] :
( ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true )
| ( ( ! [SY2884: $i] :
( ~ ( s_t @ SV30 @ SV237 @ SV423 )
| ~ ( s_t @ SV589 @ SV700 @ SY2884 )
| ~ ( s_e @ SV30 @ SV423 @ SV589 @ SY2884 )
| ~ ( s_e @ SV237 @ SV423 @ SV700 @ SY2884 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1699]) ).
thf(1904,plain,
! [SV424: $i,SV238: $i,SV31: $i,SV784: $i,SV701: $i,SV590: $i] :
( ( ( s_t @ SV590 @ SV701 @ SV784 )
| ~ ( s_t @ SV31 @ SV238 @ SV424 )
| ~ ( s_e3 @ SV31 @ SV238 @ SV424 @ SV590 @ SV701 @ SV784 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(1905,plain,
! [SV430: $i,SV246: $i,SV39: $i,SV785: $i,SV702: $i,SV591: $i] :
( ( ( s_col @ SV591 @ SV702 @ SV785 )
| ~ ( s_col @ SV39 @ SV246 @ SV430 )
| ~ ( s_e3 @ SV39 @ SV246 @ SV430 @ SV591 @ SV702 @ SV785 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(1906,plain,
! [SV703: $i,SV592: $i,SV431: $i,SV247: $i,SV40: $i] :
( ( ( s_e3 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 @ ( insert5 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 ) )
= $true )
| ( ( ~ ( s_col @ SV40 @ SV247 @ SV431 )
| ~ ( s_e @ SV40 @ SV247 @ SV592 @ SV703 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1707]) ).
thf(1907,plain,
! [SV786: $i,SV704: $i,SV248: $i,SV41: $i,SV593: $i,SV432: $i] :
( ( ! [SY3015: $i,SY3016: $i] :
( ( s_e @ SV432 @ SV593 @ SY3015 @ SY3016 )
| ~ ( s_fs @ SV41 @ SV248 @ SV432 @ SV593 @ SV704 @ SV786 @ SY3015 @ SY3016 )
| ( SV41 = SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(1908,plain,
! [SV249: $i,SV42: $i,SV705: $i,SV594: $i,SV433: $i] :
( ( ( s_e @ SV433 @ SV594 @ SV433 @ SV705 )
= $true )
| ( ( ( SV42 = SV249 )
| ~ ( s_col @ SV42 @ SV249 @ SV433 )
| ~ ( s_e @ SV42 @ SV594 @ SV42 @ SV705 )
| ~ ( s_e @ SV249 @ SV594 @ SV249 @ SV705 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1709]) ).
thf(1909,plain,
! [SV595: $i,SV434: $i,SV250: $i,SV43: $i] :
( ( ( ( SV43 = SV250 )
| ~ ( s_col @ SV43 @ SV250 @ SV434 )
| ~ ( s_e @ SV43 @ SV434 @ SV43 @ SV595 ) )
= $true )
| ( ( ~ ( s_e @ SV250 @ SV434 @ SV250 @ SV595 ) )
= $true )
| ( ( SV434 = SV595 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1710]) ).
thf(1910,plain,
! [SV596: $i,SV435: $i,SV251: $i,SV44: $i] :
( ( ( ~ ( s_t @ SV44 @ SV251 @ SV435 )
| ~ ( s_e @ SV44 @ SV251 @ SV44 @ SV596 ) )
= $true )
| ( ( ~ ( s_e @ SV435 @ SV251 @ SV435 @ SV596 ) )
= $true )
| ( ( SV251 = SV596 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1711]) ).
thf(1911,plain,
! [SV252: $i,SV597: $i,SV436: $i,SV45: $i] :
( ( ( s_t @ SV45 @ SV436 @ SV597 )
= $true )
| ( ( ( SV45 = SV252 )
| ~ ( s_t @ SV45 @ SV252 @ SV436 )
| ~ ( s_t @ SV45 @ SV252 @ SV597 ) )
= $true )
| ( ( s_t @ SV45 @ SV597 @ SV436 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1712]) ).
thf(1912,plain,
! [SV46: $i,SV598: $i,SV437: $i,SV253: $i] :
( ( ( s_t @ SV253 @ SV437 @ SV598 )
= $true )
| ( ( ( SV46 = SV253 )
| ~ ( s_t @ SV46 @ SV253 @ SV437 )
| ~ ( s_t @ SV46 @ SV253 @ SV598 ) )
= $true )
| ( ( s_t @ SV253 @ SV598 @ SV437 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1713]) ).
thf(1913,plain,
! [SV438: $i,SV599: $i,SV254: $i,SV47: $i] :
( ( ( s_t @ SV47 @ SV254 @ SV599 )
= $true )
| ( ( ~ ( s_t @ SV47 @ SV254 @ SV438 )
| ~ ( s_t @ SV47 @ SV599 @ SV438 ) )
= $true )
| ( ( s_t @ SV47 @ SV599 @ SV254 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1714]) ).
thf(1914,plain,
! [SV706: $i,SV600: $i,SV439: $i,SV255: $i,SV48: $i] :
( ( ( ( le @ SV48 @ SV255 @ SV439 @ SV600 )
| ~ ( s_t @ SV48 @ SV255 @ SV706 ) )
= $true )
| ( ( ~ ( s_e @ SV48 @ SV706 @ SV439 @ SV600 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1715]) ).
thf(1915,plain,
! [SV601: $i,SV440: $i,SV256: $i,SV49: $i,SV787: $i,SV707: $i] :
( ( ! [SY3017: $i,SY3018: $i] :
( ( le @ SV707 @ SV787 @ SY3017 @ SY3018 )
| ~ ( le @ SV49 @ SV256 @ SV440 @ SV601 )
| ~ ( s_e @ SV49 @ SV256 @ SV707 @ SV787 )
| ~ ( s_e @ SV440 @ SV601 @ SY3017 @ SY3018 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1716]) ).
thf(1916,plain,
! [SV602: $i,SV441: $i,SV788: $i,SV708: $i,SV258: $i,SV51: $i] :
( ( ( le @ SV51 @ SV258 @ SV708 @ SV788 )
| ~ ( le @ SV51 @ SV258 @ SV441 @ SV602 )
| ~ ( le @ SV441 @ SV602 @ SV708 @ SV788 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1717]) ).
thf(1917,plain,
! [SV603: $i,SV442: $i,SV259: $i,SV52: $i] :
( ( ( ~ ( le @ SV52 @ SV259 @ SV442 @ SV603 ) )
= $true )
| ( ( ~ ( le @ SV442 @ SV603 @ SV52 @ SV259 ) )
= $true )
| ( ( s_e @ SV52 @ SV259 @ SV442 @ SV603 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1918,plain,
! [SV445: $i,SV262: $i,SV55: $i] :
( ( ( s_col @ SV55 @ SV262 @ SV445 )
= $false )
| ( ( ~ ( s_t @ SV55 @ SV262 @ SV445 ) )
= $true )
| ( ( le @ SV55 @ SV262 @ SV55 @ SV445 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1919,plain,
! [SV446: $i,SV263: $i,SV56: $i] :
( ( ( s_col @ SV56 @ SV263 @ SV446 )
= $false )
| ( ( ~ ( s_t @ SV56 @ SV263 @ SV446 ) )
= $true )
| ( ( le @ SV263 @ SV446 @ SV56 @ SV446 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1920,plain,
! [SV447: $i,SV264: $i,SV57: $i] :
( ( ( s_t @ SV57 @ SV264 @ SV447 )
= $false )
| ( ( ~ ( s_e @ SV57 @ SV447 @ SV57 @ SV264 ) )
= $true )
| ( ( SV447 = SV264 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1921,plain,
! [SV448: $i,SV265: $i,SV58: $i] :
( ( ( ~ ( s_col @ SV58 @ SV265 @ SV448 ) )
= $true )
| ( ( s_t @ SV58 @ SV265 @ SV448 )
= $true )
| ( ( ~ ( le @ SV58 @ SV265 @ SV58 @ SV448 ) )
= $true )
| ( ( ~ ( le @ SV265 @ SV448 @ SV58 @ SV448 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1723]) ).
thf(1922,plain,
! [SV449: $i,SV59: $i,SV266: $i,SV709: $i] :
( ( ( ( SV709 = SV266 )
| ( SV59 = SV266 )
| ( SV449 = SV266 )
| ~ ( s_t @ SV59 @ SV266 @ SV709 ) )
= $true )
| ( ( ~ ( s_t @ SV449 @ SV266 @ SV709 ) )
= $true )
| ( ( sameside @ SV59 @ SV266 @ SV449 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1724]) ).
thf(1923,plain,
! [SV60: $i,SV710: $i,SV267: $i,SV450: $i] :
( ( ( s_t @ SV450 @ SV267 @ SV710 )
= $true )
| ( ( ( SV710 = SV267 )
| ( SV60 = SV267 )
| ( SV450 = SV267 )
| ~ ( s_t @ SV60 @ SV267 @ SV710 ) )
= $true )
| ( ( ~ ( sameside @ SV60 @ SV267 @ SV450 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1725]) ).
thf(1924,plain,
! [SV61: $i,SV451: $i,SV268: $i,SV605: $i] :
( ( ( ( SV605 = SV268 )
| ( SV451 = SV268 )
| ( SV61 = SV268 )
| ( sameside @ SV61 @ SV268 @ SV451 ) )
= $true )
| ( ( ~ ( s_t @ SV61 @ SV268 @ SV605 ) )
= $true )
| ( ( ~ ( s_t @ SV451 @ SV268 @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1726]) ).
thf(1925,plain,
! [SV452: $i,SV269: $i,SV62: $i] :
( ( ( s_col @ SV62 @ SV269 @ SV452 )
= $false )
| ( ( sameside @ SV62 @ SV269 @ SV452 )
= $true )
| ( ( s_t @ SV62 @ SV269 @ SV452 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1926,plain,
! [SV606: $i,SV454: $i,SV272: $i,SV65: $i] :
( ( ( ~ ( sameside @ SV65 @ SV272 @ SV454 ) )
= $true )
| ( ( ~ ( sameside @ SV454 @ SV272 @ SV606 ) )
= $true )
| ( ( sameside @ SV65 @ SV272 @ SV606 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1729]) ).
thf(1927,plain,
! [SV607: $i,SV455: $i,SV273: $i,SV66: $i,SV789: $i,SV711: $i] :
( ( ( SV711 = SV789 )
| ( SV66 = SV273 )
| ( SV455 = SV607 )
| ~ ( sameside @ SV711 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 )
| ~ ( sameside @ SV789 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(1928,plain,
! [SV456: $i,SV274: $i,SV67: $i] :
( ( ( sameside @ SV67 @ SV274 @ SV456 )
= $false )
| ( ( ~ ( le @ SV274 @ SV67 @ SV274 @ SV456 ) )
= $true )
| ( ( s_t @ SV274 @ SV67 @ SV456 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1929,plain,
! [SV457: $i,SV275: $i,SV68: $i] :
( ( ( sameside @ SV68 @ SV275 @ SV457 )
= $false )
| ( ( le @ SV275 @ SV68 @ SV275 @ SV457 )
= $true )
| ( ( ~ ( s_t @ SV275 @ SV68 @ SV457 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1930,plain,
! [SV458: $i,SV276: $i,SV69: $i,SV608: $i] :
( ( ( sameside @ SV608 @ SV69 @ SV276 )
= $true )
| ( ( ( SV608 = SV69 )
| ( SV69 = SV276 )
| ( SV69 = SV458 )
| ~ ( s_t @ SV276 @ SV69 @ SV458 )
| ~ ( s_col @ SV608 @ SV69 @ SV276 ) )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1733]) ).
thf(1931,plain,
! [SV609: $i,SV459: $i,SV277: $i,SV70: $i] :
( ( ( ( SV70 = SV277 )
| ( SV70 = SV459 )
| ~ ( s_t @ SV277 @ SV70 @ SV459 ) )
= $true )
| ( ( ~ ( sameside @ SV609 @ SV70 @ SV277 ) )
= $true )
| ( ( s_col @ SV609 @ SV70 @ SV277 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1734]) ).
thf(1932,plain,
! [SV610: $i,SV460: $i,SV278: $i,SV71: $i] :
( ( ( ( SV71 = SV278 )
| ( SV71 = SV460 )
| ~ ( s_t @ SV278 @ SV71 @ SV460 ) )
= $true )
| ( ( ~ ( sameside @ SV610 @ SV71 @ SV460 ) )
= $true )
| ( ( s_col @ SV610 @ SV71 @ SV278 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1735]) ).
thf(1933,plain,
! [SV461: $i,SV279: $i,SV72: $i,SV611: $i] :
( ( ( SV611 != SV72 )
= $true )
| ( ( ( SV72 = SV279 )
| ( SV72 = SV461 )
| ~ ( s_t @ SV279 @ SV72 @ SV461 ) )
= $true )
| ( ( s_col @ SV611 @ SV72 @ SV279 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1736]) ).
thf(1934,plain,
! [SV73: $i,SV280: $i,SV462: $i,SV612: $i] :
( ( ( s_t @ SV612 @ SV462 @ SV280 )
= $true )
| ( ( ( SV73 = SV280 )
| ~ ( s_t @ SV462 @ SV73 @ SV280 )
| ~ ( s_t @ SV612 @ SV73 @ SV280 ) )
= $true )
| ( ( s_t @ SV462 @ SV612 @ SV280 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1737]) ).
thf(1935,plain,
! [SV613: $i,SV463: $i,SV281: $i,SV74: $i] :
( ( ( ( SV74 = SV281 )
| ( SV463 = SV74 )
| ~ ( s_col @ SV74 @ SV281 @ SV463 ) )
= $true )
| ( ( ~ ( s_col @ SV74 @ SV281 @ SV613 ) )
= $true )
| ( ( s_col @ SV74 @ SV463 @ SV613 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1738]) ).
thf(1936,plain,
! [SV464: $i,SV283: $i,SV76: $i] :
( ( ( s_col @ SV76 @ SV283 @ SV464 )
= $false )
| ( ( SV76 = SV283 )
= $true )
| ( ( s_col @ SV283 @ SV76 @ SV464 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1937,plain,
! [SV614: $i,SV465: $i,SV712: $i,SV284: $i,SV77: $i] :
( ( ( s_col @ SV77 @ SV284 @ SV712 )
= $true )
| ( ( ( SV77 = SV284 )
| ( SV465 = SV614 )
| ~ ( s_col @ SV465 @ SV614 @ SV77 )
| ~ ( s_col @ SV465 @ SV614 @ SV284 )
| ~ ( s_col @ SV465 @ SV614 @ SV712 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1740]) ).
thf(1938,plain,
! [SV285: $i,SV78: $i,SV790: $i,SV713: $i,SV615: $i,SV466: $i] :
( ( ! [SY3019: $i] :
( ( s_col @ SV466 @ SV615 @ SY3019 )
| ( SV713 = SV790 )
| ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 )
| ~ ( s_col @ SV466 @ SV615 @ SV713 )
| ~ ( s_col @ SV78 @ SV285 @ SV790 )
| ~ ( s_col @ SV466 @ SV615 @ SV790 )
| ~ ( s_col @ SV78 @ SV285 @ SY3019 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1741]) ).
thf(1939,plain,
! [SV714: $i,SV287: $i,SV791: $i,SV616: $i,SV467: $i,SV80: $i] :
( ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
| ~ ( sameside @ SV80 @ SV287 @ SV467 )
| ~ ( sameside @ SV616 @ SV714 @ SV791 )
| ~ ( s_e @ SV287 @ SV80 @ SV714 @ SV616 )
| ~ ( s_e @ SV287 @ SV467 @ SV714 @ SV791 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1742]) ).
thf(1940,plain,
! [SV617: $i,SV469: $i,SV292: $i,SV85: $i] :
( ( ( ~ ( s_m @ SV85 @ SV292 @ SV469 ) )
= $true )
| ( ( ~ ( s_m @ SV85 @ SV292 @ SV617 ) )
= $true )
| ( ( SV469 = SV617 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1744]) ).
thf(1941,plain,
! [SV618: $i,SV471: $i,SV295: $i,SV88: $i] :
( ( ( ( s @ SV88 @ SV295 )
!= SV471 )
= $true )
| ( ( ( s @ SV88 @ SV618 )
!= SV471 )
= $true )
| ( ( SV295 = SV618 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1746]) ).
thf(1942,plain,
! [SV474: $i,SV300: $i,SV93: $i,SV792: $i] :
( ( ( s_t @ ( s @ SV792 @ SV93 ) @ ( s @ SV792 @ SV300 ) @ ( s @ SV792 @ SV474 ) )
= $true )
| ( ( s_t @ SV93 @ SV300 @ SV474 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(1943,plain,
! [SV475: $i,SV301: $i,SV94: $i,SV715: $i] :
( ( ( s_t @ ( s @ SV715 @ SV94 ) @ ( s @ SV715 @ SV301 ) @ ( s @ SV715 @ SV475 ) )
= $false )
| ( ( s_t @ SV94 @ SV301 @ SV475 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1749]) ).
thf(1944,plain,
! [SV619: $i,SV476: $i,SV302: $i,SV95: $i] :
( ( ( s_e @ SV95 @ SV302 @ SV476 @ SV619 )
= $false )
| ( ( ! [SY2715: $i] : ( s_e @ ( s @ SY2715 @ SV95 ) @ ( s @ SY2715 @ SV302 ) @ ( s @ SY2715 @ SV476 ) @ ( s @ SY2715 @ SV619 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1945,plain,
! [SV620: $i,SV477: $i,SV303: $i,SV96: $i,SV793: $i] :
( ( ( ~ ( s_e @ ( s @ SV793 @ SV96 ) @ ( s @ SV793 @ SV303 ) @ ( s @ SV793 @ SV477 ) @ ( s @ SV793 @ SV620 ) ) )
= $true )
| ( ( s_e @ SV96 @ SV303 @ SV477 @ SV620 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1751]) ).
thf(1946,plain,
! [SV621: $i,SV478: $i,SV304: $i,SV97: $i] :
( ( ( ~ ( s_m @ SV97 @ SV304 @ SV478 ) )
= $true )
| ( ( ~ ( s_m @ SV97 @ SV621 @ SV478 ) )
= $true )
| ( ( SV304 = SV621 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1752]) ).
thf(1947,plain,
! [SV480: $i,SV307: $i,SV100: $i] :
( ( ( ~ ( s_col @ SV100 @ SV307 @ SV480 ) )
= $true )
| ( ( ~ ( s_e @ SV307 @ SV100 @ SV307 @ SV480 ) )
= $true )
| ( ( SV100 = SV480 )
= $true )
| ( ( s_m @ SV100 @ SV307 @ SV480 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1755]) ).
thf(1948,plain,
! [SV623: $i,SV308: $i,SV481: $i,SV716: $i,SV101: $i] :
( ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true )
| ( ( ( SV308 = SV623 )
| ( s_col @ SV101 @ SV308 @ SV481 )
| ~ ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
| ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 )
| ~ ( s_col @ SV101 @ SV716 @ SV481 )
| ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1949,plain,
! [SV794: $i,SV717: $i,SV624: $i,SV482: $i,SV309: $i,SV102: $i] :
( ( ! [SY3020: $i] :
( ~ ( s_kf @ SV102 @ SV309 @ SV482 @ SV624 @ SV717 @ SV794 @ SY3020 )
| ( s_t @ SV309 @ SV624 @ SV794 )
| ~ ( le @ SV624 @ SV102 @ SV624 @ SY3020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1757]) ).
thf(1950,plain,
! [SV795: $i,SV718: $i,SV625: $i,SV483: $i,SV310: $i,SV103: $i] :
( ( ! [SY3021: $i] :
~ ( s_kf @ SV103 @ SV310 @ SV483 @ SV625 @ SV718 @ SV795 @ SY3021 )
| ( s_t @ SV310 @ SV625 @ SV795 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1758]) ).
thf(1951,plain,
! [SV719: $i,SV626: $i,SV484: $i,SV104: $i,SV311: $i,SV796: $i] :
( ( ! [SY3022: $i] :
( ( s_t @ SV796 @ SV311 @ SY3022 )
| ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SV719 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
| ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 )
| ~ ( s_m @ SV104 @ SV796 @ SV626 )
| ~ ( s_m @ SV484 @ SY3022 @ SV719 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(1952,plain,
! [SV627: $i,SV487: $i,SV314: $i,SV107: $i] :
( ( ( ~ ( s_r @ SV107 @ SV314 @ SV487 )
| ( SV107 = SV314 ) )
= $true )
| ( ( ~ ( s_col @ SV314 @ SV107 @ SV627 ) )
= $true )
| ( ( s_r @ SV627 @ SV314 @ SV487 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1762]) ).
thf(1953,plain,
! [SV720: $i,SV489: $i,SV317: $i,SV110: $i] :
( ( ( ~ ( s_r @ SV110 @ SV317 @ SV489 )
| ~ ( s_r @ SV720 @ SV317 @ SV489 ) )
= $true )
| ( ( ~ ( s_t @ SV110 @ SV489 @ SV720 ) )
= $true )
| ( ( SV317 = SV489 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1764]) ).
thf(1954,plain,
! [SV490: $i,SV318: $i,SV111: $i] :
( ( ( s_r @ SV111 @ SV318 @ SV490 )
= $false )
| ( ( ~ ( s_r @ SV111 @ SV490 @ SV318 ) )
= $true )
| ( ( SV318 = SV490 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1765]) ).
thf(1955,plain,
! [SV491: $i,SV320: $i,SV113: $i] :
( ( ( ~ ( s_r @ SV113 @ SV320 @ SV491 ) )
= $true )
| ( ( ~ ( s_col @ SV113 @ SV320 @ SV491 ) )
= $true )
| ( ( SV113 = SV320 )
= $true )
| ( ( SV491 = SV320 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1766]) ).
thf(1956,plain,
! [SV492: $i,SV321: $i,SV114: $i,SV797: $i,SV721: $i,SV628: $i] :
( ( ( s_r @ SV628 @ SV721 @ SV797 )
| ~ ( s_r @ SV114 @ SV321 @ SV492 )
| ~ ( s_e3 @ SV114 @ SV321 @ SV492 @ SV628 @ SV721 @ SV797 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1767]) ).
thf(1957,plain,
! [SV722: $i,SV629: $i,SV493: $i,SV322: $i,SV115: $i] :
( ( ( ~ ( perpAt @ SV115 @ SV322 @ SV493 @ SV629 @ SV722 ) )
= $true )
| ( ( perpAt @ SV629 @ SV722 @ SV493 @ SV115 @ SV322 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1768]) ).
thf(1958,plain,
! [SV630: $i,SV494: $i,SV323: $i,SV116: $i] :
( ( ( perp @ SV116 @ SV323 @ SV494 @ SV630 )
= $false )
| ( ( perp @ SV494 @ SV630 @ SV116 @ SV323 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1959,plain,
! [SV631: $i,SV495: $i,SV723: $i,SV324: $i,SV117: $i] :
( ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true )
| ( ( ! [SY2905: $i,SY2906: $i] :
( ( SV723 = SY2906 )
| ( SV723 = SY2905 )
| ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SY2905 )
| ~ ( s_col @ SV495 @ SV631 @ SY2906 )
| ~ ( s_r @ SY2905 @ SV723 @ SY2906 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(1960,plain,
! [SV632: $i,SV496: $i,SV325: $i,SV118: $i] :
( ( ( ~ ( perp @ SV118 @ SV325 @ SV496 @ SV632 ) )
= $true )
| ( ( ~ ( s_col @ SV118 @ SV325 @ SV496 ) )
= $true )
| ( ( ~ ( s_col @ SV118 @ SV325 @ SV632 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1771]) ).
thf(1961,plain,
! [SV633: $i,SV497: $i,SV724: $i,SV326: $i,SV119: $i] :
( ( ( perpAt @ SV119 @ SV326 @ SV724 @ SV497 @ SV633 )
= $true )
| ( ( ~ ( perp @ SV119 @ SV326 @ SV497 @ SV633 )
| ~ ( s_col @ SV119 @ SV326 @ SV724 )
| ~ ( s_col @ SV497 @ SV633 @ SV724 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1772]) ).
thf(1962,plain,
! [SV725: $i,SV634: $i,SV498: $i,SV327: $i,SV120: $i] :
( ( ( ~ ( perpAt @ SV120 @ SV327 @ SV498 @ SV634 @ SV725 ) )
= $true )
| ( ( SV498
= ( il @ SV120 @ SV327 @ SV634 @ SV725 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1773]) ).
thf(1963,plain,
! [SV635: $i,SV499: $i,SV328: $i,SV121: $i] :
( ( ( ( SV121 = SV328 )
| ~ ( s_col @ SV121 @ SV328 @ SV499 ) )
= $true )
| ( ( ~ ( perp @ SV121 @ SV328 @ SV635 @ SV499 ) )
= $true )
| ( ( perpAt @ SV121 @ SV328 @ SV499 @ SV635 @ SV499 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1774]) ).
thf(1964,plain,
! [SV636: $i,SV500: $i,SV726: $i,SV329: $i,SV122: $i] :
( ( ( ( s_col @ SV122 @ SV329 @ SV726 )
| ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
| ( SV636 = SV500 )
| ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SV500 )
| ~ ( s_col @ SV122 @ SV329 @ SV636 ) )
= $true )
| ( ( ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1775]) ).
thf(1965,plain,
! [SV501: $i,SV330: $i,SV123: $i,SV727: $i,SV637: $i] :
( ( ( SV637 = SV727 )
= $true )
| ( ( ( s_col @ SV123 @ SV330 @ SV501 )
| ~ ( s_col @ SV123 @ SV330 @ SV637 )
| ~ ( s_col @ SV123 @ SV330 @ SV727 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1776]) ).
thf(1966,plain,
! [SV638: $i,SV502: $i,SV331: $i,SV124: $i] :
( ( ( ~ ( s_r @ SV124 @ SV331 @ SV502 ) )
= $true )
| ( ( ~ ( s_m @ ( s @ SV124 @ SV502 ) @ SV638 @ ( s @ SV331 @ SV502 ) ) )
= $true )
| ( ( s_r @ SV331 @ SV124 @ SV638 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1777]) ).
thf(1967,plain,
! [SV503: $i,SV332: $i,SV639: $i,SV125: $i] :
( ( ( SV125 = SV639 )
= $false )
| ( ( ( SV332 = SV503 )
| ~ ( s_r @ SV125 @ SV332 @ SV503 )
| ~ ( s_m @ ( s @ SV125 @ SV503 ) @ SV639 @ ( s @ SV332 @ SV503 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1968,plain,
! [SV640: $i,SV504: $i,SV333: $i,SV126: $i] :
( ( ( perp @ SV126 @ SV333 @ SV504 @ SV640 )
= $false )
| ( ( perp @ SV333 @ SV126 @ SV504 @ SV640 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1779]) ).
thf(1969,plain,
! [SV641: $i,SV505: $i,SV728: $i,SV334: $i,SV127: $i] :
( ( ( s_col @ SV127 @ SV334 @ SV728 )
= $true )
| ( ( ( SV127 = SV334 )
| ( SV505 = SV641 )
| ~ ( s_col @ SV127 @ SV334 @ SV505 )
| ~ ( s_col @ SV127 @ SV334 @ SV641 )
| ~ ( s_col @ SV505 @ SV641 @ SV728 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1780]) ).
thf(1970,plain,
! [SV729: $i,SV642: $i,SV335: $i,SV506: $i,SV128: $i] :
( ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true )
| ( ( ~ ( le @ SV128 @ SV335 @ SV506 @ SV642 )
| ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
| ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 )
| ~ ( s_t @ SV335 @ SV729 @ SV642 )
| ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1781]) ).
thf(1971,plain,
! [SV798: $i,SV643: $i,SV730: $i,SV130: $i,SV507: $i,SV337: $i] :
( ( ! [SY3023: $i] :
( ( s_m @ SV337 @ SY3023 @ SV507 )
| ( SY3023
!= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
| ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 )
| ~ ( s_t @ SV130 @ SV730 @ SV643 )
| ~ ( s_t @ SV507 @ SV798 @ SV643 )
| ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(1972,plain,
! [SV338: $i,SV508: $i,SV644: $i,SV731: $i,SV799: $i,SV131: $i] :
( ( ! [SY3024: $i] :
( ( s_m @ SV131 @ SY3024 @ SV799 )
| ( SY3024
!= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
| ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 )
| ~ ( s_t @ SV131 @ SV731 @ SV644 )
| ~ ( s_t @ SV508 @ SV799 @ SV644 )
| ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1783]) ).
thf(1973,plain,
! [SV732: $i,SV645: $i,SV800: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
| ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
| ~ ( s_col @ SV339 @ SV509 @ SV732 )
| ~ ( s_t @ SV132 @ SV732 @ SV645 )
| ~ ( s_t @ SV509 @ SV800 @ SV645 )
| ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(1974,plain,
! [SV646: $i,SV510: $i,SV340: $i,SV133: $i] :
( ( ( SV133 = SV340 )
= $true )
| ( ( ~ ( s_col @ SV133 @ SV340 @ SV510 )
| ~ ( s_col @ SV133 @ SV340 @ SV646 ) )
= $true )
| ( ( s_col @ SV133 @ SV510 @ SV646 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1785]) ).
thf(1975,plain,
! [SV647: $i,SV511: $i,SV801: $i,SV733: $i,SV341: $i,SV134: $i] :
( ( ! [SY3025: $i] :
( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SY3025 )
| ( SV134 = SV341 )
| ( SV511 = SV647 )
| ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SV647 )
| ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SY3025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1786]) ).
thf(1976,plain,
! [SV648: $i,SV512: $i,SV802: $i,SV734: $i,SV342: $i,SV135: $i] :
( ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
| ( SV135 = SV342 )
| ( SV512 = SV648 )
| ~ ( s_col @ SV135 @ SV342 @ SV512 )
| ~ ( s_col @ SV135 @ SV342 @ SV648 )
| ~ ( perp @ SV512 @ SV648 @ SV734 @ SV802 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(1977,plain,
! [SV343: $i,SV513: $i,SV649: $i,SV136: $i] :
( ( ( ( SV136 = SV649 )
| ( SV649 = SV513 )
| ( SV343 = SV513 )
| ( SV136 = SV343 )
| ( SV136 = SV513 )
| ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 ) )
= $true )
| ( ( ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1788]) ).
thf(1978,plain,
! [SV650: $i,SV514: $i,SV344: $i,SV137: $i] :
( ( ( perp @ SV137 @ SV344 @ SV514 @ SV650 )
= $false )
| ( ( perp @ SV137 @ SV344 @ SV650 @ SV514 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1979,plain,
! [SV345: $i,SV138: $i,SV803: $i,SV735: $i,SV651: $i,SV515: $i] :
( ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
| ( SV138 = SV345 )
| ( SV515 = SV651 )
| ~ ( s_col @ SV138 @ SV345 @ SV515 )
| ~ ( s_col @ SV138 @ SV345 @ SV651 )
| ~ ( perp @ SV138 @ SV345 @ SV735 @ SV803 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(1980,plain,
( ( ( s_col @ xa @ xb @ xp )
= $false )
| ( ( ~ ( s_col @ xa @ xb @ xq ) )
= $true )
| ( ( xp = xq )
= $true )
| ( ( xa = xb )
= $true )
| ( ( perp @ xc @ xd @ xp @ xq )
= $true )
| ( ( ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1981,plain,
! [SV346: $i,SV516: $i,SV139: $i,SV736: $i,SV652: $i] :
( ( ( samesideline @ SV652 @ SV736 @ SV139 @ SV516 )
= $true )
| ( ( ( SV139 = SV516 )
| ~ ( s_col @ SV139 @ SV346 @ SV516 )
| ( SV139 = SV346 )
| ~ ( samesideline @ SV652 @ SV736 @ SV139 @ SV346 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1792]) ).
thf(1982,plain,
! [SV653: $i,SV517: $i,SV347: $i,SV140: $i] :
( ( ( SV140 = SV347 )
= $true )
| ( ( ~ ( samesideline @ SV517 @ SV653 @ SV140 @ SV347 ) )
= $true )
| ( ( samesideline @ SV517 @ SV653 @ SV347 @ SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1793]) ).
thf(1983,plain,
! [SV654: $i,SV518: $i,SV348: $i,SV141: $i] :
( ( ( opposite @ SV141 @ SV348 @ SV518 @ SV654 )
= $false )
| ( ( opposite @ SV654 @ SV348 @ SV518 @ SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1984,plain,
! [SV804: $i,SV737: $i,SV142: $i,SV655: $i,SV519: $i,SV349: $i] :
( ( ! [SY3026: $i] :
( ( opposite @ SY3026 @ SV349 @ SV519 @ SV655 )
| ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV737 )
| ~ ( s_m @ SV142 @ SV737 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV804 )
| ~ ( sameside @ SV142 @ SV804 @ SY3026 )
| ~ ( s_t @ SV804 @ SY3026 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(1985,plain,
! [SV805: $i,SV738: $i,SV143: $i,SV656: $i,SV520: $i,SV350: $i] :
( ( ! [SY3027: $i] :
( ( opposite @ SY3027 @ SV350 @ SV520 @ SV656 )
| ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV738 )
| ~ ( s_m @ SV143 @ SV738 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV805 )
| ~ ( sameside @ SV143 @ SV805 @ SY3027 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(1986,plain,
! [SV521: $i,SV351: $i,SV144: $i,SV806: $i] :
( ( ( sameside @ ( s @ SV806 @ SV144 ) @ ( s @ SV806 @ SV351 ) @ ( s @ SV806 @ SV521 ) )
= $true )
| ( ( sameside @ SV144 @ SV351 @ SV521 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(1987,plain,
! [SV522: $i,SV352: $i,SV145: $i,SV807: $i,SV657: $i,SV739: $i] :
( ( ! [SY3028: $i,SY3029: $i] :
( ( sameside @ ( s @ SY3028 @ SY3029 ) @ SV739 @ SV657 )
| ( SV807 = SV739 )
| ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
| ~ ( s_m @ SV807 @ SY3028 @ SV739 )
| ~ ( sameside @ SY3029 @ SV807 @ SV145 )
| ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(1988,plain,
! [SV658: $i,SV523: $i,SV353: $i,SV146: $i,SV740: $i,SV808: $i] :
( ( ! [SY3030: $i,SY3031: $i] :
( ( SV808 = SV740 )
| ( sameside @ SY3031 @ SV808 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
| ~ ( s_m @ SV808 @ SY3030 @ SV740 )
| ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 )
| ~ ( sameside @ ( s @ SY3030 @ SY3031 ) @ SV740 @ SV658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1799]) ).
thf(1989,plain,
! [SV524: $i,SV354: $i,SV147: $i,SV809: $i,SV659: $i,SV741: $i] :
( ( ! [SY3032: $i,SY3033: $i] :
( ( sameside @ ( s @ SY3032 @ SY3033 ) @ SV741 @ SV659 )
| ( SV809 != SV741 )
| ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
| ~ ( s_m @ SV809 @ SY3032 @ SV741 )
| ~ ( sameside @ SY3033 @ SV809 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1800]) ).
thf(1990,plain,
! [SV810: $i,SV525: $i,SV355: $i,SV148: $i,SV660: $i,SV742: $i] :
( ( ! [SY3034: $i,SY3035: $i] :
( ( sameside @ ( s @ SY3034 @ SY3035 ) @ SV742 @ SV660 )
| ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
| ~ ( s_m @ SV810 @ SY3034 @ SV742 )
| ~ ( sameside @ SY3035 @ SV810 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1801]) ).
thf(1991,plain,
! [SV811: $i,SV743: $i,SV661: $i,SV149: $i,SV526: $i,SV356: $i] :
( ( ! [SY3036: $i,SY3037: $i,SY3038: $i] :
( ( opposite @ SY3037 @ SV356 @ SV526 @ SY3038 )
| ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
| ~ ( s_m @ SV811 @ SY3036 @ SV743 )
| ~ ( sameside @ SY3037 @ SV811 @ SV149 )
| ~ ( sameside @ SY3038 @ SV743 @ SV661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(1992,plain,
! [SV744: $i,SV150: $i,SV662: $i,SV527: $i,SV357: $i,SV812: $i] :
( ( ( opposite @ SV812 @ SV357 @ SV527 @ SV662 )
| ~ ( opposite @ SV150 @ SV357 @ SV527 @ SV662 )
| ~ ( s_col @ SV357 @ SV527 @ SV744 )
| ~ ( sameside @ SV150 @ SV744 @ SV812 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(1993,plain,
! [SV745: $i,SV663: $i,SV528: $i,SV358: $i,SV151: $i] :
( ( ( ~ ( opposite @ SV151 @ SV358 @ SV528 @ SV663 )
| ( opposite @ SV745 @ SV358 @ SV528 @ SV663 ) )
= $true )
| ( ( ~ ( samesideline @ SV151 @ SV745 @ SV358 @ SV528 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1804]) ).
thf(1994,plain,
! [SV664: $i,SV529: $i,SV359: $i,SV152: $i] :
( ( ( opposite @ SV152 @ SV359 @ SV529 @ SV664 )
= $false )
| ( ( ~ ( samesideline @ SV152 @ SV664 @ SV359 @ SV529 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1995,plain,
! [SV665: $i,SV360: $i,SV153: $i,SV746: $i,SV530: $i] :
( ( ( samesideline @ SV530 @ SV746 @ SV153 @ SV360 )
= $true )
| ( ( ( SV153 = SV360 )
| ~ ( samesideline @ SV530 @ SV665 @ SV153 @ SV360 )
| ~ ( samesideline @ SV665 @ SV746 @ SV153 @ SV360 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1806]) ).
thf(1996,plain,
! [SV666: $i,SV531: $i,SV361: $i,SV154: $i] :
( ( ( samesideline @ SV154 @ SV361 @ SV531 @ SV666 )
= $false )
| ( ( samesideline @ SV154 @ SV361 @ SV666 @ SV531 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1997,plain,
! [SV813: $i,SV667: $i,SV532: $i,SV362: $i,SV155: $i] :
( ( ( ( SV155 = SV362 )
| ~ ( s_m @ SV532 @ SV667 @ SV813 )
| ~ ( s_col @ SV155 @ SV362 @ SV532 )
| ~ ( s_col @ SV155 @ SV362 @ SV813 ) )
= $true )
| ( ( s_col @ SV155 @ SV362 @ SV667 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(1998,plain,
! [SV533: $i,SV363: $i,SV156: $i,SV747: $i,SV668: $i] :
( ( ( samesideline @ SV668 @ SV747 @ SV156 @ SV363 )
= $true )
| ( ( ( SV156 = SV363 )
| ~ ( s_t @ SV363 @ SV156 @ SV533 )
| ~ ( samesideline @ SV668 @ SV747 @ SV533 @ SV363 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1809]) ).
thf(1999,plain,
! [SV669: $i,SV534: $i,SV364: $i,SV157: $i] :
( ( ( SV157 = SV364 )
= $true )
| ( ( ~ ( samesideline @ SV534 @ SV669 @ SV157 @ SV364 ) )
= $true )
| ( ( samesideline @ SV669 @ SV534 @ SV157 @ SV364 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1810]) ).
thf(2000,plain,
! [SV670: $i,SV748: $i,SV535: $i,SV365: $i,SV158: $i] :
( ( ( opposite @ SV158 @ SV365 @ SV535 @ SV748 )
= $true )
| ( ( ~ ( opposite @ SV158 @ SV365 @ SV535 @ SV670 )
| ~ ( samesideline @ SV670 @ SV748 @ SV365 @ SV535 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1811]) ).
thf(2001,plain,
! [SV366: $i,SV159: $i,SV749: $i,SV671: $i,SV536: $i] :
( ( ( s_col @ SV536 @ SV671 @ SV749 )
= $true )
| ( ( ( SV671 = SV536 )
| ( SV159 = SV366 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV671 @ SV536 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV749 @ SV536 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1812]) ).
thf(2002,plain,
! [SV814: $i,SV367: $i,SV160: $i,SV537: $i] :
( ( ( ( opposite @ SV537 @ SV160 @ SV367 @ SV814 )
| ( samesideline @ SV537 @ SV814 @ SV160 @ SV367 )
| ( s_col @ SV160 @ SV367 @ SV814 )
| ( SV160 = SV367 )
| ( s_col @ SV160 @ SV367 @ SV537 ) )
= $true )
| ( ( SV160
= ( foot @ SV160 @ SV367 @ SV537 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2003,plain,
! [SV750: $i,SV368: $i,SV161: $i,SV538: $i] :
( ( ( opposite @ SV538 @ SV161 @ SV368 @ SV750 )
= $true )
| ( ( ( samesideline @ SV538 @ SV750 @ SV161 @ SV368 )
| ( s_col @ SV161 @ SV368 @ SV750 )
| ( SV161 = SV368 )
| ( s_col @ SV161 @ SV368 @ SV538 ) )
= $true )
| ( ( SV161
= ( foot @ SV161 @ SV368 @ SV538 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1814]) ).
thf(2004,plain,
! [SV369: $i,SV162: $i,SV672: $i,SV539: $i] :
( ( ( samesideline @ SV539 @ SV672 @ SV162 @ SV369 )
= $true )
| ( ( ( s_col @ SV162 @ SV369 @ SV672 )
| ( SV162 = SV369 )
| ( s_col @ SV162 @ SV369 @ SV539 ) )
= $true )
| ( ( opposite @ SV539 @ SV162 @ SV369 @ SV672 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(2005,plain,
! [SV163: $i,SV673: $i,SV540: $i,SV370: $i,SV751: $i] :
( ( ( samesideline @ SV751 @ SV370 @ SV540 @ SV673 )
= $true )
| ( ( ~ ( samesideline @ SV163 @ SV370 @ SV540 @ SV673 )
| ~ ( sameside @ SV163 @ SV673 @ SV751 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1816]) ).
thf(2006,plain,
! [SV541: $i,SV371: $i,SV164: $i,SV752: $i,SV674: $i] :
( ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
= $true )
| ( ( ( s_col @ SV164 @ SV371 @ SV674 )
| ( SV164 = SV371 )
| ~ ( s_col @ SV164 @ SV371 @ SV541 )
| ~ ( s_col @ SV674 @ SV752 @ SV541 )
| ~ ( sameside @ SV674 @ SV541 @ SV752 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1817]) ).
thf(2007,plain,
! [SV675: $i,SV542: $i,SV372: $i,SV165: $i] :
( ( ( ( reflect @ SV165 @ SV372 @ SV542 )
!= SV675 )
= $true )
| ( ( SV165 = SV372 )
= $true )
| ( ( ( reflect @ SV165 @ SV372 @ SV675 )
= SV542 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1818]) ).
thf(2008,plain,
! [SV677: $i,SV543: $i,SV374: $i,SV167: $i] :
( ( ( ( reflect @ SV167 @ SV374 @ SV543 )
!= SV677 )
= $true )
| ( ( SV167 = SV374 )
= $true )
| ( ( SV543
= ( reflect @ SV167 @ SV374 @ SV677 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1819]) ).
thf(2009,plain,
! [SV678: $i,SV544: $i,SV375: $i,SV168: $i] :
( ( ( ( reflect @ SV168 @ SV375 @ SV544 )
!= ( reflect @ SV168 @ SV375 @ SV678 ) )
= $true )
| ( ( SV168 = SV375 )
= $true )
| ( ( SV544 = SV678 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(2010,plain,
! [SV545: $i,SV376: $i,SV169: $i] :
( ( ( ( reflect @ SV169 @ SV376 @ SV545 )
= SV545 )
= $false )
| ( ( SV169 = SV376 )
= $true )
| ( ( s_col @ SV169 @ SV376 @ SV545 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(2011,plain,
! [SV546: $i,SV377: $i,SV170: $i] :
( ( ( s_col @ SV170 @ SV377 @ SV546 )
= $false )
| ( ( SV170 = SV377 )
= $true )
| ( ( ( reflect @ SV170 @ SV377 @ SV546 )
= SV546 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(2012,plain,
! [SV753: $i,SV547: $i,SV378: $i,SV171: $i] :
( ( ( SV171 = SV378 )
= $true )
| ( ( ~ ( s_col @ SV171 @ SV378 @ SV547 ) )
= $true )
| ( ( s_e @ SV547 @ SV753 @ ( reflect @ SV171 @ SV378 @ SV547 ) @ ( reflect @ SV171 @ SV378 @ SV753 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1823]) ).
thf(2013,plain,
! [SV680: $i,SV548: $i,SV380: $i,SV173: $i] :
( ( ( ~ ( s_r @ SV173 @ SV380 @ SV548 )
| ~ ( s_r @ SV680 @ SV380 @ SV548 ) )
= $true )
| ( ( ~ ( s_e @ SV173 @ SV380 @ SV680 @ SV380 ) )
= $true )
| ( ( s_e @ SV173 @ SV548 @ SV680 @ SV548 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1825]) ).
thf(2014,plain,
! [SV681: $i,SV174: $i,SV381: $i,SV755: $i,SV549: $i] :
( ( ( SV549 = SV755 )
= $true )
| ( ( ( SV381
!= ( midpoint @ SV549 @ SV755 ) )
| ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
| ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SV681 @ SV381 @ SV755 )
| ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 )
| ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1826]) ).
thf(2015,plain,
! [SV382: $i,SV756: $i,SV682: $i,SV550: $i,SV175: $i] :
( ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
= $true )
| ( ( ~ ( s_r @ SV175 @ SV382 @ SV550 )
| ~ ( s_r @ SV682 @ SV382 @ SV756 )
| ~ ( s_e @ SV175 @ SV382 @ SV682 @ SV382 )
| ~ ( s_e @ SV382 @ SV550 @ SV382 @ SV756 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1827]) ).
thf(2016,plain,
! [SV757: $i,SV383: $i,SV815: $i,SV683: $i,SV551: $i,SV176: $i] :
( ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
| ~ ( s_r @ SV176 @ SV383 @ SV551 )
| ~ ( s_r @ SV683 @ SV757 @ SV815 )
| ~ ( s_e @ SV176 @ SV383 @ SV683 @ SV757 )
| ~ ( s_e @ SV383 @ SV551 @ SV757 @ SV815 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(2017,plain,
! [SV816: $i,SV178: $i,SV385: $i] :
( ( ! [SY3039: $i] : ( s_e @ SV385 @ ( ext @ SV178 @ SV385 @ SV816 @ SY3039 ) @ SV816 @ SY3039 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(2018,plain,
! [SV817: $i,SV385: $i,SV178: $i] :
( ( ! [SY3040: $i] : ( s_t @ SV178 @ SV385 @ ( ext @ SV178 @ SV385 @ SV817 @ SY3040 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(2019,plain,
! [SV818: $i,SV386: $i,SV179: $i] :
( ( ! [SY3041: $i] :
( ( SY3041
= ( reflect @ SV179 @ SV386 @ SV818 ) )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV818 @ SY3041 ) )
| ~ ( perp @ SV179 @ SV386 @ SV818 @ SY3041 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2020,plain,
! [SV819: $i,SV386: $i,SV179: $i] :
( ( ! [SY3042: $i] :
( ( SY3042
= ( reflect @ SV179 @ SV386 @ SV819 ) )
| ( SV819 != SY3042 )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV819 @ SY3042 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(2021,plain,
( ( ~ ( s_t @ alpha @ beta @ gamma ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1833]) ).
thf(2022,plain,
( ( ~ ( s_t @ beta @ gamma @ alpha ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1834]) ).
thf(2023,plain,
! [SV180: $i] :
( ( ~ ! [SY1492: $i] :
( ( SV180 = SY1492 )
| ! [SY1493: $i] : ( perp @ SV180 @ SY1492 @ ( erect @ SV180 @ SY1492 @ SY1493 ) @ SV180 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(2024,plain,
! [SV180: $i] :
( ( ~ ! [SY1494: $i] :
( ( SV180 = SY1494 )
| ! [SY1495: $i] : ( s_col @ SV180 @ SY1494 @ ( erectAux @ SV180 @ SY1494 @ SY1495 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1835]) ).
thf(2025,plain,
! [SV758: $i,SV180: $i] :
( ( ( SV180 = SV758 )
= $true )
| ( ( ! [SY2938: $i] : ( s_t @ SY2938 @ ( erectAux @ SV180 @ SV758 @ SY2938 ) @ ( erect @ SV180 @ SV758 @ SY2938 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1836]) ).
thf(2026,plain,
! [SV387: $i,SV181: $i] :
( ( ~ ! [SY2137: $i,SY2138: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2137 @ SY2138 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SY2137 @ SY2138 @ SV181 @ SV387 ) ) )
| ~ ! [SY2139: $i,SY2140: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2139 @ SY2140 )
| ( s_e @ SV181 @ ( ins @ SY2139 @ SY2140 @ SV181 @ SV387 ) @ SY2139 @ SY2140 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(2027,plain,
! [SV820: $i,SV387: $i,SV181: $i] :
( ( ! [SY3043: $i] :
( ~ ( le @ SV181 @ SV387 @ SV820 @ SY3043 )
| ( ( ins @ SV820 @ SY3043 @ SV181 @ SV387 )
= ( ext @ SV181 @ SV387 @ ( insert @ SV181 @ SV387 @ SV820 @ SY3043 ) @ SY3043 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1838]) ).
thf(2028,plain,
! [SV182: $i] :
( ( ~ ! [SY1505: $i,SY1506: $i] :
( ~ ( s_m @ SV182 @ SY1505 @ SY1506 )
| ( s_t @ SV182 @ SY1505 @ SY1506 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1839]) ).
thf(2029,plain,
! [SV182: $i] :
( ( ~ ! [SY1507: $i,SY1508: $i] :
( ~ ( s_m @ SV182 @ SY1507 @ SY1508 )
| ( s_e @ SY1507 @ SV182 @ SY1507 @ SY1508 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1839]) ).
thf(2030,plain,
! [SV821: $i,SV759: $i,SV182: $i] :
( ( ( s_m @ SV182 @ SV759 @ SV821 )
| ~ ( s_t @ SV182 @ SV759 @ SV821 )
| ~ ( s_e @ SV759 @ SV182 @ SV759 @ SV821 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(2031,plain,
! [SV183: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
| ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1841]) ).
thf(2032,plain,
! [SV183: $i] :
( ( ~ ! [SY1517: $i,SY1518: $i] :
( ( sameside @ SV183 @ SY1517 @ SY1518 )
| ( xb = SY1517 )
| ~ ( s_t @ SY1517 @ SV183 @ SY1518 )
| ( SV183 = SY1517 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1841]) ).
thf(2033,plain,
! [SV822: $i,SV760: $i,SV183: $i] :
( ( ( sameside @ SV183 @ SV760 @ SV822 )
| ( SV822 = SV760 )
| ~ ( s_t @ SV760 @ SV822 @ SV183 )
| ( SV183 = SV760 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1842]) ).
thf(2034,plain,
! [SV184: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
| ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1843]) ).
thf(2035,plain,
! [SV184: $i] :
( ( ~ ! [SY1527: $i,SY1528: $i] :
( ~ ( sameside @ SV184 @ SY1527 @ SY1528 )
| ( s_t @ SV184 @ SY1527 @ ( c63 @ SV184 @ SY1527 @ SY1528 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1843]) ).
thf(2036,plain,
! [SV823: $i,SV761: $i,SV184: $i] :
( ( ~ ( sameside @ SV184 @ SV761 @ SV823 )
| ( s_t @ SV823 @ SV761 @ ( c63 @ SV184 @ SV761 @ SV823 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1844]) ).
thf(2037,plain,
! [SV762: $i,SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV388 ) ) )
| ~ ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ SV388 )
| ( s_col @ SV553 @ SV685 @ SV185 )
| ! [SY2942: $i,SY2943: $i] :
( ( SV388 = SY2943 )
| ( SV185 = SV762 )
| ( SY2942 = SY2943 )
| ( SY2942 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SY2942 )
| ~ ( s_t @ SV388 @ SY2943 @ SY2942 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SY2943 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(2038,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
| ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) )
| ~ ! [SY2547: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2547 )
| ( s_t @ SV554 @ ( il @ SV554 @ SY2547 @ SV186 @ SV389 ) @ SY2547 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(2039,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ! [SY2548: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2548 )
| ( s_col @ SV186 @ SV389 @ ( il @ SV554 @ SY2548 @ SV186 @ SV389 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(2040,plain,
! [SV390: $i,SV187: $i,SV555: $i] :
( ( ! [SY2549: $i,SY2550: $i] :
( ( SY2549 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SY2549 )
| ~ ( s_col @ SV187 @ SV390 @ SY2550 )
| ~ ( perp @ SV187 @ SV390 @ SY2550 @ SV555 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(2041,plain,
! [SV390: $i,SV187: $i,SV555: $i] :
( ( ! [SY2551: $i,SY2552: $i] :
( ( s_r @ SY2552 @ SV555 @ SY2551 )
| ( SY2551 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SY2551 )
| ~ ( perp @ SV187 @ SV390 @ SY2552 @ SV555 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(2042,plain,
! [SV824: $i,SV763: $i,SV188: $i] :
( ( ~ ( s_r @ SV188 @ SV763 @ SV824 )
| ( s_e @ SV188 @ SV824 @ SV188 @ ( s @ SV763 @ SV824 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2043,plain,
! [SV825: $i,SV764: $i,SV188: $i] :
( ( ( s_r @ SV188 @ SV764 @ SV825 )
| ~ ( s_e @ SV188 @ SV825 @ SV188 @ ( s @ SV764 @ SV825 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1851]) ).
thf(2044,plain,
! [SV189: $i] :
( ( ~ ~ ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) )
| ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(2045,plain,
! [SV189: $i] :
( ( ~ ! [SY1559: $i,SY1560: $i] :
( ( s_col @ SV189 @ SY1559 @ SY1560 )
| ~ ( s_t @ SY1559 @ SY1560 @ SV189 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1852]) ).
thf(2046,plain,
! [SV826: $i,SV765: $i,SV189: $i] :
( ( ( s_col @ SV189 @ SV765 @ SV826 )
| ~ ( s_t @ SV826 @ SV189 @ SV765 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(2047,plain,
! [SV556: $i,SV391: $i,SV190: $i] :
( ( ! [SY2553: $i,SY2554: $i] :
( ( s_t @ SY2553 @ ( insert @ SV190 @ SV391 @ SY2553 @ SY2554 ) @ SY2554 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SY2553 @ SY2554 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(2048,plain,
! [SV556: $i,SV391: $i,SV190: $i] :
( ( ! [SY2555: $i,SY2556: $i] :
( ( s_e3 @ SV190 @ SV391 @ SV556 @ SY2555 @ ( insert @ SV190 @ SV391 @ SY2555 @ SY2556 ) @ SY2556 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SY2555 @ SY2556 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(2049,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
| ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) )
| ~ ! [SY3054: $i,SY3055: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3054 @ SY3055 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SY3055 ) ) )
| ~ ! [SY3056: $i,SY3057: $i] :
( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3056 @ SY3057 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SY3056 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SY3056 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SY3057 )
| ~ ( s_e @ SV392 @ SV686 @ SV827 @ SY3057 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1856]) ).
thf(2050,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 )
| ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(2051,plain,
! [SV559: $i,SV193: $i,SV394: $i] :
( ( ! [SY2578: $i,SY2579: $i] :
( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SY2578 @ SY2579 ) @ SY2578 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SY2578 @ SY2579 @ SV559 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(2052,plain,
! [SV559: $i,SV394: $i,SV193: $i] :
( ( ! [SY2580: $i,SY2581: $i] :
( ( s_t @ SY2581 @ ( ip @ SV193 @ SV394 @ SV559 @ SY2580 @ SY2581 ) @ SV193 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SY2580 @ SY2581 @ SV559 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1859]) ).
thf(2053,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
| ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) )
| ~ ! [SY2596: $i,SY2597: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2596 @ SY2597 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SY2596 @ SY2597 @ SV560 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1860]) ).
thf(2054,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2598: $i,SY2599: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2598 @ SY2599 )
| ( s_r @ ( f813 @ SV194 @ SV395 @ SY2598 @ SY2599 @ SV560 ) @ SV560 @ ( g813 @ SV194 @ SV395 @ SY2598 @ SY2599 @ SV560 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1861]) ).
thf(2055,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ( ~ ! [SY2600: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2600 )
| ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2600 ) @ SY2600 ) )
| ~ ! [SY2601: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2601 )
| ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2601 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1862]) ).
thf(2056,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ! [SY2602: $i] :
( ( le @ SV195 @ SV396 @ SV561 @ SY2602 )
| ! [SY2603: $i] :
( ~ ( s_t @ SV561 @ SY2603 @ SY2602 )
| ~ ( s_e @ SV195 @ SV396 @ SV561 @ SY2603 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(2057,plain,
! [SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ~ ! [SY2819: $i,SY2820: $i] :
( ( s_t @ SY2820 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SY2819 @ SY2820 ) @ SV562 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SY2819 @ SV562 )
| ~ ( s_t @ SV196 @ SY2820 @ SV688 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(2058,plain,
! [SV688: $i,SV562: $i,SV196: $i,SV397: $i] :
( ( ~ ! [SY2821: $i,SY2822: $i] :
( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SY2821 @ SY2822 ) @ SY2821 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SY2821 @ SV562 )
| ~ ( s_t @ SV196 @ SY2822 @ SV688 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(2059,plain,
! [SV398: $i,SV563: $i,SV197: $i] :
( ( ! [SY2609: $i,SY2610: $i] :
( ( s_t @ SV197 @ ( op @ SY2610 @ SY2609 @ SV563 @ SV398 @ SV197 ) @ SY2609 )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SY2609 @ SY2610 @ SV398 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1865]) ).
thf(2060,plain,
! [SV197: $i,SV398: $i,SV563: $i] :
( ( ! [SY2611: $i,SY2612: $i] :
( ( s_t @ SV563 @ SY2612 @ ( op @ SY2612 @ SY2611 @ SV563 @ SV398 @ SV197 ) )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SY2611 @ SY2612 @ SV398 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1866]) ).
thf(2061,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
| ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) )
| ~ ! [SY3064: $i,SY3065: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3064 @ SY3065 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SY3065 ) ) )
| ~ ! [SY3066: $i,SY3067: $i] :
( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3066 @ SY3067 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3066 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SY3067 )
| ~ ( s_e @ SV399 @ SV689 @ SV828 @ SY3067 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1867]) ).
thf(2062,plain,
( ( ~ ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1868]) ).
thf(2063,plain,
( ( ~ ( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ~ ( ( sK1_Xa != sK2_SY900 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1869]) ).
thf(2064,plain,
! [SV769: $i,SV199: $i] :
( ( ( SV199 = SV769 )
= $true )
| ( ( ! [SY2975: $i] : ( s_col @ SV199 @ SV769 @ ( midpoint @ SY2975 @ ( reflect @ SV199 @ SV769 @ SY2975 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1870]) ).
thf(2065,plain,
! [SV829: $i,SV770: $i,SV199: $i] :
( ( ( perp @ SV199 @ SV770 @ SV829 @ ( reflect @ SV199 @ SV770 @ SV829 ) )
| ( SV199 = SV770 )
| ( SV829
= ( reflect @ SV199 @ SV770 @ SV829 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1871]) ).
thf(2066,plain,
! [SV200: $i] :
( ( ~ ! [SY1658: $i,SY1659: $i] :
( ( s_col @ SV200 @ SY1658 @ SY1659 )
| ( SV200 = SY1658 )
| ( perp @ SV200 @ SY1658 @ ( erect21a @ SV200 @ SY1658 @ SY1659 ) @ SV200 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(2067,plain,
! [SV200: $i] :
( ( ~ ! [SY1660: $i,SY1661: $i] :
( ( s_col @ SV200 @ SY1660 @ SY1661 )
| ( SV200 = SY1660 )
| ( s_col @ SV200 @ SY1660 @ ( erectAux21a @ SV200 @ SY1660 @ SY1661 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(2068,plain,
! [SV830: $i,SV771: $i,SV200: $i] :
( ( ( s_col @ SV200 @ SV771 @ SV830 )
| ( SV200 = SV771 )
| ( s_t @ SV830 @ ( erectAux21a @ SV200 @ SV771 @ SV830 ) @ ( erect21a @ SV200 @ SV771 @ SV830 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2069,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
| ~ ! [SY2988: $i,SY2989: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2988 @ SY2989 )
| ( s_m @ SY2989 @ SY2988 @ SV772 ) ) )
| ~ ! [SY2990: $i,SY2991: $i] :
( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2990 @ SY2991 )
| ~ ( s_t @ SV201 @ SV690 @ SY2991 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SY2991 @ SV690 @ SV772 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SY2991 @ SY2990 @ SV772 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1874]) ).
thf(2070,plain,
! [SV831: $i,SV773: $i,SV202: $i] :
( ( ~ ( sameside @ SV202 @ SV773 @ SV831 )
| ( s_col @ SV202 @ SV773 @ SV831 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1875]) ).
thf(2071,plain,
! [SV832: $i,SV774: $i,SV202: $i] :
( ( ~ ( sameside @ SV202 @ SV774 @ SV832 )
| ~ ( s_t @ SV202 @ SV774 @ SV832 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1876]) ).
thf(2072,plain,
! [SV566: $i,SV401: $i,SV203: $i] :
( ( ! [SY2642: $i] :
( ~ ( perp @ SV203 @ SV401 @ SV566 @ SY2642 )
| ( perpAt @ SV203 @ SV401 @ ( il @ SV203 @ SV401 @ SV566 @ SY2642 ) @ SV566 @ SY2642 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(2073,plain,
! [SV566: $i,SV401: $i,SV203: $i] :
( ( ! [SY2643: $i] :
( ( perp @ SV203 @ SV401 @ SV566 @ SY2643 )
| ! [SY2644: $i] :
~ ( perpAt @ SV203 @ SV401 @ SY2644 @ SV566 @ SY2643 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1878]) ).
thf(2074,plain,
! [SV204: $i,SV402: $i,SV833: $i] :
( ( ! [SY3068: $i] :
( ( sameside @ ( insert @ SV833 @ SY3068 @ SV402 @ SV204 ) @ SV402 @ SV204 )
| ( SV204 = SV402 )
| ( SV833 = SY3068 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(2075,plain,
! [SV204: $i,SV834: $i,SV402: $i] :
( ( ! [SY3069: $i] :
( ( s_e @ SV402 @ ( insert @ SV834 @ SY3069 @ SV402 @ SV204 ) @ SV834 @ SY3069 )
| ( SV204 = SV402 )
| ( SV834 = SY3069 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1880]) ).
thf(2076,plain,
! [SV835: $i,SV775: $i,SV205: $i] :
( ( ( s_col @ SV205 @ SV775 @ SV835 )
| ( s_col @ SV205 @ SV775 @ ( foot @ SV205 @ SV775 @ SV835 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1881]) ).
thf(2077,plain,
! [SV836: $i,SV776: $i,SV205: $i] :
( ( ( perp @ SV205 @ SV776 @ SV836 @ ( foot @ SV205 @ SV776 @ SV836 ) )
| ( s_col @ SV205 @ SV776 @ SV836 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1882]) ).
thf(2078,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
| ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) )
| ~ ! [SY3080: $i,SY3081: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3080 @ SY3081 )
| ( s_e @ SV567 @ SV691 @ SY3080 @ SY3081 ) ) )
| ~ ! [SY3082: $i,SY3083: $i] :
( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3082 @ SY3083 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SY3082 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SY3082 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SY3082 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SY3083 )
| ~ ( s_e @ SV567 @ SV691 @ SY3082 @ SY3083 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(2079,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) )
| ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) )
| ~ ! [SY2870: $i,SY2871: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2870 @ SY2871 )
| ( s_e @ SV404 @ SV568 @ SY2870 @ SY2871 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(2080,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ! [SY2872: $i,SY2873: $i] :
( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2872 @ SY2873 )
| ~ ( s_e @ SV207 @ SV404 @ SV692 @ SY2872 )
| ~ ( s_e @ SV207 @ SV568 @ SV692 @ SY2873 )
| ~ ( s_e @ SV404 @ SV568 @ SY2872 @ SY2873 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(2081,plain,
! [SV209: $i,SV2: $i,SV778: $i,SV693: $i,SV569: $i,SV405: $i] :
( ( ( s_e @ SV405 @ SV569 @ SV693 @ SV778 )
= $true )
| ( ( ~ ( s_e @ SV2 @ SV209 @ SV405 @ SV569 )
| ~ ( s_e @ SV2 @ SV209 @ SV693 @ SV778 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1885]) ).
thf(2082,plain,
! [SV571: $i,SV406: $i,SV211: $i,SV4: $i,SV779: $i,SV838: $i,SV694: $i] :
( ( ! [SY3084: $i] :
( ( s_e @ SV694 @ SV838 @ SV779 @ SY3084 )
| ( SV4 = SV211 )
| ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
| ~ ( s_e @ SV4 @ SV838 @ SV406 @ SY3084 )
| ~ ( s_e @ SV211 @ SV838 @ SV571 @ SY3084 )
| ~ ( s_t @ SV4 @ SV211 @ SV694 )
| ~ ( s_t @ SV406 @ SV571 @ SV779 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(2083,plain,
! [SV573: $i,SV408: $i,SV780: $i,SV695: $i,SV215: $i,SV8: $i] :
( ( ( s_e @ SV8 @ SV215 @ SV695 @ SV780 )
= $true )
| ( ( ~ ( s_e @ SV8 @ SV215 @ SV408 @ SV573 )
| ~ ( s_e @ SV408 @ SV573 @ SV695 @ SV780 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1888]) ).
thf(2084,plain,
! [SV696: $i,SV219: $i,SV781: $i,SV576: $i,SV411: $i,SV12: $i] :
( ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
= $true )
| ( ( ~ ( s_t @ SV12 @ SV219 @ SV411 )
| ~ ( s_t @ SV576 @ SV696 @ SV781 )
| ~ ( s_e @ SV12 @ SV219 @ SV576 @ SV696 )
| ~ ( s_e @ SV219 @ SV411 @ SV696 @ SV781 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1891]) ).
thf(2085,plain,
! [SV697: $i,SV577: $i,SV412: $i,SV220: $i,SV13: $i] :
( ( ( ( SV13 = SV220 )
| ~ ( s_t @ SV13 @ SV220 @ SV412 ) )
= $true )
| ( ( ~ ( s_e @ SV220 @ SV412 @ SV577 @ SV697 ) )
= $true )
| ( ( SV412
= ( ext @ SV13 @ SV220 @ SV577 @ SV697 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1892]) ).
thf(2086,plain,
! [SV698: $i,SV223: $i,SV782: $i,SV580: $i,SV414: $i,SV16: $i] :
( ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
= $true )
| ( ( ~ ( s_t @ SV16 @ SV223 @ SV414 )
| ~ ( s_t @ SV580 @ SV698 @ SV782 )
| ~ ( s_e @ SV16 @ SV223 @ SV698 @ SV782 )
| ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1894]) ).
thf(2087,plain,
! [SV581: $i,SV20: $i,SV227: $i] :
( ( ( s_t @ SV227 @ SV20 @ SV581 )
= $false )
| ( ( s_t @ SV20 @ SV227 @ SV581 )
= $false )
| ( ( SV20 = SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(2088,plain,
! [SV582: $i,SV416: $i,SV228: $i,SV21: $i] :
( ( ( s_t @ SV21 @ SV228 @ SV416 )
= $false )
| ( ( ~ ( s_t @ SV228 @ SV582 @ SV416 ) )
= $true )
| ( ( s_t @ SV21 @ SV228 @ SV582 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(2089,plain,
! [SV583: $i,SV417: $i,SV229: $i,SV22: $i] :
( ( ( s_t @ SV22 @ SV229 @ SV417 )
= $false )
| ( ( ~ ( s_t @ SV22 @ SV417 @ SV583 ) )
= $true )
| ( ( s_t @ SV229 @ SV417 @ SV583 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(2090,plain,
! [SV584: $i,SV418: $i,SV230: $i,SV23: $i] :
( ( ( ~ ( s_t @ SV23 @ SV230 @ SV418 ) )
= $true )
| ( ( ~ ( s_t @ SV230 @ SV418 @ SV584 ) )
= $true )
| ( ( SV230 = SV418 )
= $true )
| ( ( s_t @ SV23 @ SV418 @ SV584 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1898]) ).
thf(2091,plain,
! [SV585: $i,SV419: $i,SV231: $i,SV24: $i] :
( ( ( s_t @ SV24 @ SV231 @ SV419 )
= $false )
| ( ( ~ ( s_t @ SV231 @ SV585 @ SV419 ) )
= $true )
| ( ( s_t @ SV24 @ SV585 @ SV419 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1899]) ).
thf(2092,plain,
! [SV586: $i,SV420: $i,SV232: $i,SV25: $i] :
( ( ( s_t @ SV25 @ SV232 @ SV420 )
= $false )
| ( ( ~ ( s_t @ SV25 @ SV420 @ SV586 ) )
= $true )
| ( ( s_t @ SV25 @ SV232 @ SV586 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(2093,plain,
! [SV587: $i,SV421: $i,SV233: $i,SV26: $i] :
( ( ( ~ ( s_t @ SV26 @ SV233 @ SV421 ) )
= $true )
| ( ( ~ ( s_t @ SV233 @ SV421 @ SV587 ) )
= $true )
| ( ( SV233 = SV421 )
= $true )
| ( ( s_t @ SV26 @ SV233 @ SV587 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1901]) ).
thf(2094,plain,
! [SV839: $i,SV783: $i,SV699: $i,SV588: $i,SV422: $i,SV236: $i,SV29: $i] :
( ( ! [SY3085: $i] :
( ~ ( s_ifs @ SV29 @ SV236 @ SV422 @ SV588 @ SV699 @ SV783 @ SV839 @ SY3085 )
| ( s_e @ SV236 @ SV588 @ SV783 @ SY3085 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1902]) ).
thf(2095,plain,
! [SV840: $i,SV700: $i,SV589: $i,SV423: $i,SV237: $i,SV30: $i] :
( ( ( ~ ( s_t @ SV30 @ SV237 @ SV423 )
| ~ ( s_t @ SV589 @ SV700 @ SV840 )
| ~ ( s_e @ SV30 @ SV423 @ SV589 @ SV840 )
| ~ ( s_e @ SV237 @ SV423 @ SV700 @ SV840 ) )
= $true )
| ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1903]) ).
thf(2096,plain,
! [SV424: $i,SV238: $i,SV31: $i,SV784: $i,SV701: $i,SV590: $i] :
( ( ( s_t @ SV590 @ SV701 @ SV784 )
= $true )
| ( ( ~ ( s_t @ SV31 @ SV238 @ SV424 )
| ~ ( s_e3 @ SV31 @ SV238 @ SV424 @ SV590 @ SV701 @ SV784 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1904]) ).
thf(2097,plain,
! [SV430: $i,SV246: $i,SV39: $i,SV785: $i,SV702: $i,SV591: $i] :
( ( ( s_col @ SV591 @ SV702 @ SV785 )
= $true )
| ( ( ~ ( s_col @ SV39 @ SV246 @ SV430 )
| ~ ( s_e3 @ SV39 @ SV246 @ SV430 @ SV591 @ SV702 @ SV785 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1905]) ).
thf(2098,plain,
! [SV703: $i,SV592: $i,SV431: $i,SV247: $i,SV40: $i] :
( ( ( ~ ( s_col @ SV40 @ SV247 @ SV431 ) )
= $true )
| ( ( ~ ( s_e @ SV40 @ SV247 @ SV592 @ SV703 ) )
= $true )
| ( ( s_e3 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 @ ( insert5 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1906]) ).
thf(2099,plain,
! [SV786: $i,SV704: $i,SV248: $i,SV41: $i,SV841: $i,SV593: $i,SV432: $i] :
( ( ! [SY3086: $i] :
( ( s_e @ SV432 @ SV593 @ SV841 @ SY3086 )
| ~ ( s_fs @ SV41 @ SV248 @ SV432 @ SV593 @ SV704 @ SV786 @ SV841 @ SY3086 )
| ( SV41 = SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1907]) ).
thf(2100,plain,
! [SV705: $i,SV594: $i,SV433: $i,SV249: $i,SV42: $i] :
( ( ( ( SV42 = SV249 )
| ~ ( s_col @ SV42 @ SV249 @ SV433 )
| ~ ( s_e @ SV42 @ SV594 @ SV42 @ SV705 ) )
= $true )
| ( ( ~ ( s_e @ SV249 @ SV594 @ SV249 @ SV705 ) )
= $true )
| ( ( s_e @ SV433 @ SV594 @ SV433 @ SV705 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1908]) ).
thf(2101,plain,
! [SV595: $i,SV434: $i,SV250: $i,SV43: $i] :
( ( ( ( SV43 = SV250 )
| ~ ( s_col @ SV43 @ SV250 @ SV434 ) )
= $true )
| ( ( ~ ( s_e @ SV43 @ SV434 @ SV43 @ SV595 ) )
= $true )
| ( ( ~ ( s_e @ SV250 @ SV434 @ SV250 @ SV595 ) )
= $true )
| ( ( SV434 = SV595 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1909]) ).
thf(2102,plain,
! [SV596: $i,SV435: $i,SV251: $i,SV44: $i] :
( ( ( ~ ( s_t @ SV44 @ SV251 @ SV435 ) )
= $true )
| ( ( ~ ( s_e @ SV44 @ SV251 @ SV44 @ SV596 ) )
= $true )
| ( ( ~ ( s_e @ SV435 @ SV251 @ SV435 @ SV596 ) )
= $true )
| ( ( SV251 = SV596 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1910]) ).
thf(2103,plain,
! [SV597: $i,SV436: $i,SV252: $i,SV45: $i] :
( ( ( ( SV45 = SV252 )
| ~ ( s_t @ SV45 @ SV252 @ SV436 ) )
= $true )
| ( ( ~ ( s_t @ SV45 @ SV252 @ SV597 ) )
= $true )
| ( ( s_t @ SV45 @ SV436 @ SV597 )
= $true )
| ( ( s_t @ SV45 @ SV597 @ SV436 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1911]) ).
thf(2104,plain,
! [SV598: $i,SV437: $i,SV253: $i,SV46: $i] :
( ( ( ( SV46 = SV253 )
| ~ ( s_t @ SV46 @ SV253 @ SV437 ) )
= $true )
| ( ( ~ ( s_t @ SV46 @ SV253 @ SV598 ) )
= $true )
| ( ( s_t @ SV253 @ SV437 @ SV598 )
= $true )
| ( ( s_t @ SV253 @ SV598 @ SV437 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1912]) ).
thf(2105,plain,
! [SV599: $i,SV438: $i,SV254: $i,SV47: $i] :
( ( ( ~ ( s_t @ SV47 @ SV254 @ SV438 ) )
= $true )
| ( ( ~ ( s_t @ SV47 @ SV599 @ SV438 ) )
= $true )
| ( ( s_t @ SV47 @ SV254 @ SV599 )
= $true )
| ( ( s_t @ SV47 @ SV599 @ SV254 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1913]) ).
thf(2106,plain,
! [SV706: $i,SV600: $i,SV439: $i,SV255: $i,SV48: $i] :
( ( ( le @ SV48 @ SV255 @ SV439 @ SV600 )
= $true )
| ( ( ~ ( s_t @ SV48 @ SV255 @ SV706 ) )
= $true )
| ( ( ~ ( s_e @ SV48 @ SV706 @ SV439 @ SV600 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1914]) ).
thf(2107,plain,
! [SV601: $i,SV440: $i,SV256: $i,SV49: $i,SV842: $i,SV787: $i,SV707: $i] :
( ( ! [SY3087: $i] :
( ( le @ SV707 @ SV787 @ SV842 @ SY3087 )
| ~ ( le @ SV49 @ SV256 @ SV440 @ SV601 )
| ~ ( s_e @ SV49 @ SV256 @ SV707 @ SV787 )
| ~ ( s_e @ SV440 @ SV601 @ SV842 @ SY3087 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1915]) ).
thf(2108,plain,
! [SV602: $i,SV441: $i,SV788: $i,SV708: $i,SV258: $i,SV51: $i] :
( ( ( le @ SV51 @ SV258 @ SV708 @ SV788 )
= $true )
| ( ( ~ ( le @ SV51 @ SV258 @ SV441 @ SV602 )
| ~ ( le @ SV441 @ SV602 @ SV708 @ SV788 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1916]) ).
thf(2109,plain,
! [SV603: $i,SV442: $i,SV259: $i,SV52: $i] :
( ( ( le @ SV52 @ SV259 @ SV442 @ SV603 )
= $false )
| ( ( ~ ( le @ SV442 @ SV603 @ SV52 @ SV259 ) )
= $true )
| ( ( s_e @ SV52 @ SV259 @ SV442 @ SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1917]) ).
thf(2110,plain,
! [SV445: $i,SV262: $i,SV55: $i] :
( ( ( s_t @ SV55 @ SV262 @ SV445 )
= $false )
| ( ( s_col @ SV55 @ SV262 @ SV445 )
= $false )
| ( ( le @ SV55 @ SV262 @ SV55 @ SV445 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1918]) ).
thf(2111,plain,
! [SV446: $i,SV263: $i,SV56: $i] :
( ( ( s_t @ SV56 @ SV263 @ SV446 )
= $false )
| ( ( s_col @ SV56 @ SV263 @ SV446 )
= $false )
| ( ( le @ SV263 @ SV446 @ SV56 @ SV446 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1919]) ).
thf(2112,plain,
! [SV264: $i,SV447: $i,SV57: $i] :
( ( ( s_e @ SV57 @ SV447 @ SV57 @ SV264 )
= $false )
| ( ( s_t @ SV57 @ SV264 @ SV447 )
= $false )
| ( ( SV447 = SV264 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(2113,plain,
! [SV448: $i,SV265: $i,SV58: $i] :
( ( ( s_col @ SV58 @ SV265 @ SV448 )
= $false )
| ( ( s_t @ SV58 @ SV265 @ SV448 )
= $true )
| ( ( ~ ( le @ SV58 @ SV265 @ SV58 @ SV448 ) )
= $true )
| ( ( ~ ( le @ SV265 @ SV448 @ SV58 @ SV448 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(2114,plain,
! [SV449: $i,SV59: $i,SV266: $i,SV709: $i] :
( ( ( ( SV709 = SV266 )
| ( SV59 = SV266 )
| ( SV449 = SV266 ) )
= $true )
| ( ( ~ ( s_t @ SV59 @ SV266 @ SV709 ) )
= $true )
| ( ( ~ ( s_t @ SV449 @ SV266 @ SV709 ) )
= $true )
| ( ( sameside @ SV59 @ SV266 @ SV449 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1922]) ).
thf(2115,plain,
! [SV450: $i,SV60: $i,SV267: $i,SV710: $i] :
( ( ( ( SV710 = SV267 )
| ( SV60 = SV267 )
| ( SV450 = SV267 ) )
= $true )
| ( ( ~ ( s_t @ SV60 @ SV267 @ SV710 ) )
= $true )
| ( ( s_t @ SV450 @ SV267 @ SV710 )
= $true )
| ( ( ~ ( sameside @ SV60 @ SV267 @ SV450 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1923]) ).
thf(2116,plain,
! [SV61: $i,SV451: $i,SV268: $i,SV605: $i] :
( ( ( SV605 = SV268 )
= $true )
| ( ( ( SV451 = SV268 )
| ( SV61 = SV268 )
| ( sameside @ SV61 @ SV268 @ SV451 ) )
= $true )
| ( ( ~ ( s_t @ SV61 @ SV268 @ SV605 ) )
= $true )
| ( ( ~ ( s_t @ SV451 @ SV268 @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1924]) ).
thf(2117,plain,
! [SV606: $i,SV454: $i,SV272: $i,SV65: $i] :
( ( ( sameside @ SV65 @ SV272 @ SV454 )
= $false )
| ( ( ~ ( sameside @ SV454 @ SV272 @ SV606 ) )
= $true )
| ( ( sameside @ SV65 @ SV272 @ SV606 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1926]) ).
thf(2118,plain,
! [SV607: $i,SV455: $i,SV273: $i,SV66: $i,SV789: $i,SV711: $i] :
( ( ( SV711 = SV789 )
= $true )
| ( ( ( SV66 = SV273 )
| ( SV455 = SV607 )
| ~ ( sameside @ SV711 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 )
| ~ ( sameside @ SV789 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1927]) ).
thf(2119,plain,
! [SV456: $i,SV67: $i,SV274: $i] :
( ( ( le @ SV274 @ SV67 @ SV274 @ SV456 )
= $false )
| ( ( sameside @ SV67 @ SV274 @ SV456 )
= $false )
| ( ( s_t @ SV274 @ SV67 @ SV456 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1928]) ).
thf(2120,plain,
! [SV457: $i,SV68: $i,SV275: $i] :
( ( ( s_t @ SV275 @ SV68 @ SV457 )
= $false )
| ( ( le @ SV275 @ SV68 @ SV275 @ SV457 )
= $true )
| ( ( sameside @ SV68 @ SV275 @ SV457 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(2121,plain,
! [SV458: $i,SV276: $i,SV69: $i,SV608: $i] :
( ( ( SV608 = SV69 )
= $true )
| ( ( ( SV69 = SV276 )
| ( SV69 = SV458 )
| ~ ( s_t @ SV276 @ SV69 @ SV458 )
| ~ ( s_col @ SV608 @ SV69 @ SV276 ) )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV276 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1930]) ).
thf(2122,plain,
! [SV609: $i,SV459: $i,SV277: $i,SV70: $i] :
( ( ( ( SV70 = SV277 )
| ( SV70 = SV459 ) )
= $true )
| ( ( ~ ( s_t @ SV277 @ SV70 @ SV459 ) )
= $true )
| ( ( ~ ( sameside @ SV609 @ SV70 @ SV277 ) )
= $true )
| ( ( s_col @ SV609 @ SV70 @ SV277 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1931]) ).
thf(2123,plain,
! [SV610: $i,SV460: $i,SV278: $i,SV71: $i] :
( ( ( ( SV71 = SV278 )
| ( SV71 = SV460 ) )
= $true )
| ( ( ~ ( s_t @ SV278 @ SV71 @ SV460 ) )
= $true )
| ( ( ~ ( sameside @ SV610 @ SV71 @ SV460 ) )
= $true )
| ( ( s_col @ SV610 @ SV71 @ SV278 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1932]) ).
thf(2124,plain,
! [SV461: $i,SV279: $i,SV72: $i,SV611: $i] :
( ( ( SV611 = SV72 )
= $false )
| ( ( ( SV72 = SV279 )
| ( SV72 = SV461 )
| ~ ( s_t @ SV279 @ SV72 @ SV461 ) )
= $true )
| ( ( s_col @ SV611 @ SV72 @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1933]) ).
thf(2125,plain,
! [SV612: $i,SV462: $i,SV280: $i,SV73: $i] :
( ( ( ( SV73 = SV280 )
| ~ ( s_t @ SV462 @ SV73 @ SV280 ) )
= $true )
| ( ( ~ ( s_t @ SV612 @ SV73 @ SV280 ) )
= $true )
| ( ( s_t @ SV612 @ SV462 @ SV280 )
= $true )
| ( ( s_t @ SV462 @ SV612 @ SV280 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1934]) ).
thf(2126,plain,
! [SV613: $i,SV463: $i,SV281: $i,SV74: $i] :
( ( ( ( SV74 = SV281 )
| ( SV463 = SV74 ) )
= $true )
| ( ( ~ ( s_col @ SV74 @ SV281 @ SV463 ) )
= $true )
| ( ( ~ ( s_col @ SV74 @ SV281 @ SV613 ) )
= $true )
| ( ( s_col @ SV74 @ SV463 @ SV613 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1935]) ).
thf(2127,plain,
! [SV712: $i,SV614: $i,SV465: $i,SV284: $i,SV77: $i] :
( ( ( ( SV77 = SV284 )
| ( SV465 = SV614 )
| ~ ( s_col @ SV465 @ SV614 @ SV77 )
| ~ ( s_col @ SV465 @ SV614 @ SV284 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV712 ) )
= $true )
| ( ( s_col @ SV77 @ SV284 @ SV712 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1937]) ).
thf(2128,plain,
! [SV285: $i,SV78: $i,SV790: $i,SV713: $i,SV843: $i,SV615: $i,SV466: $i] :
( ( ( s_col @ SV466 @ SV615 @ SV843 )
| ( SV713 = SV790 )
| ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 )
| ~ ( s_col @ SV466 @ SV615 @ SV713 )
| ~ ( s_col @ SV78 @ SV285 @ SV790 )
| ~ ( s_col @ SV466 @ SV615 @ SV790 )
| ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2129,plain,
! [SV714: $i,SV287: $i,SV791: $i,SV616: $i,SV467: $i,SV80: $i] :
( ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
= $true )
| ( ( ~ ( sameside @ SV80 @ SV287 @ SV467 )
| ~ ( sameside @ SV616 @ SV714 @ SV791 )
| ~ ( s_e @ SV287 @ SV80 @ SV714 @ SV616 )
| ~ ( s_e @ SV287 @ SV467 @ SV714 @ SV791 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1939]) ).
thf(2130,plain,
! [SV617: $i,SV469: $i,SV292: $i,SV85: $i] :
( ( ( s_m @ SV85 @ SV292 @ SV469 )
= $false )
| ( ( ~ ( s_m @ SV85 @ SV292 @ SV617 ) )
= $true )
| ( ( SV469 = SV617 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1940]) ).
thf(2131,plain,
! [SV618: $i,SV471: $i,SV295: $i,SV88: $i] :
( ( ( ( s @ SV88 @ SV295 )
= SV471 )
= $false )
| ( ( ( s @ SV88 @ SV618 )
!= SV471 )
= $true )
| ( ( SV295 = SV618 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1941]) ).
thf(2132,plain,
! [SV619: $i,SV476: $i,SV302: $i,SV95: $i,SV844: $i] :
( ( ( s_e @ ( s @ SV844 @ SV95 ) @ ( s @ SV844 @ SV302 ) @ ( s @ SV844 @ SV476 ) @ ( s @ SV844 @ SV619 ) )
= $true )
| ( ( s_e @ SV95 @ SV302 @ SV476 @ SV619 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1944]) ).
thf(2133,plain,
! [SV620: $i,SV477: $i,SV303: $i,SV96: $i,SV793: $i] :
( ( ( s_e @ ( s @ SV793 @ SV96 ) @ ( s @ SV793 @ SV303 ) @ ( s @ SV793 @ SV477 ) @ ( s @ SV793 @ SV620 ) )
= $false )
| ( ( s_e @ SV96 @ SV303 @ SV477 @ SV620 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1945]) ).
thf(2134,plain,
! [SV621: $i,SV478: $i,SV304: $i,SV97: $i] :
( ( ( s_m @ SV97 @ SV304 @ SV478 )
= $false )
| ( ( ~ ( s_m @ SV97 @ SV621 @ SV478 ) )
= $true )
| ( ( SV304 = SV621 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1946]) ).
thf(2135,plain,
! [SV480: $i,SV307: $i,SV100: $i] :
( ( ( s_col @ SV100 @ SV307 @ SV480 )
= $false )
| ( ( ~ ( s_e @ SV307 @ SV100 @ SV307 @ SV480 ) )
= $true )
| ( ( SV100 = SV480 )
= $true )
| ( ( s_m @ SV100 @ SV307 @ SV480 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1947]) ).
thf(2136,plain,
! [SV716: $i,SV481: $i,SV101: $i,SV623: $i,SV308: $i] :
( ( ( ( SV308 = SV623 )
| ( s_col @ SV101 @ SV308 @ SV481 )
| ~ ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
| ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 )
| ~ ( s_col @ SV101 @ SV716 @ SV481 ) )
= $true )
| ( ( ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1948]) ).
thf(2137,plain,
! [SV845: $i,SV794: $i,SV717: $i,SV624: $i,SV482: $i,SV309: $i,SV102: $i] :
( ( ~ ( s_kf @ SV102 @ SV309 @ SV482 @ SV624 @ SV717 @ SV794 @ SV845 )
| ( s_t @ SV309 @ SV624 @ SV794 )
| ~ ( le @ SV624 @ SV102 @ SV624 @ SV845 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1949]) ).
thf(2138,plain,
! [SV795: $i,SV718: $i,SV625: $i,SV483: $i,SV310: $i,SV103: $i] :
( ( ( ! [SY3021: $i] :
~ ( s_kf @ SV103 @ SV310 @ SV483 @ SV625 @ SV718 @ SV795 @ SY3021 ) )
= $true )
| ( ( s_t @ SV310 @ SV625 @ SV795 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1950]) ).
thf(2139,plain,
! [SV719: $i,SV626: $i,SV484: $i,SV104: $i,SV846: $i,SV311: $i,SV796: $i] :
( ( ( s_t @ SV796 @ SV311 @ SV846 )
| ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SV719 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
| ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 )
| ~ ( s_m @ SV104 @ SV796 @ SV626 )
| ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1951]) ).
thf(2140,plain,
! [SV627: $i,SV487: $i,SV314: $i,SV107: $i] :
( ( ( ~ ( s_r @ SV107 @ SV314 @ SV487 ) )
= $true )
| ( ( SV107 = SV314 )
= $true )
| ( ( ~ ( s_col @ SV314 @ SV107 @ SV627 ) )
= $true )
| ( ( s_r @ SV627 @ SV314 @ SV487 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1952]) ).
thf(2141,plain,
! [SV720: $i,SV489: $i,SV317: $i,SV110: $i] :
( ( ( ~ ( s_r @ SV110 @ SV317 @ SV489 ) )
= $true )
| ( ( ~ ( s_r @ SV720 @ SV317 @ SV489 ) )
= $true )
| ( ( ~ ( s_t @ SV110 @ SV489 @ SV720 ) )
= $true )
| ( ( SV317 = SV489 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1953]) ).
thf(2142,plain,
! [SV318: $i,SV490: $i,SV111: $i] :
( ( ( s_r @ SV111 @ SV490 @ SV318 )
= $false )
| ( ( s_r @ SV111 @ SV318 @ SV490 )
= $false )
| ( ( SV318 = SV490 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1954]) ).
thf(2143,plain,
! [SV491: $i,SV320: $i,SV113: $i] :
( ( ( s_r @ SV113 @ SV320 @ SV491 )
= $false )
| ( ( ~ ( s_col @ SV113 @ SV320 @ SV491 ) )
= $true )
| ( ( SV113 = SV320 )
= $true )
| ( ( SV491 = SV320 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1955]) ).
thf(2144,plain,
! [SV492: $i,SV321: $i,SV114: $i,SV797: $i,SV721: $i,SV628: $i] :
( ( ( s_r @ SV628 @ SV721 @ SV797 )
= $true )
| ( ( ~ ( s_r @ SV114 @ SV321 @ SV492 )
| ~ ( s_e3 @ SV114 @ SV321 @ SV492 @ SV628 @ SV721 @ SV797 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1956]) ).
thf(2145,plain,
! [SV722: $i,SV629: $i,SV493: $i,SV322: $i,SV115: $i] :
( ( ( perpAt @ SV115 @ SV322 @ SV493 @ SV629 @ SV722 )
= $false )
| ( ( perpAt @ SV629 @ SV722 @ SV493 @ SV115 @ SV322 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1957]) ).
thf(2146,plain,
! [SV631: $i,SV495: $i,SV324: $i,SV117: $i,SV847: $i,SV723: $i] :
( ( ( ! [SY3088: $i] :
( ( SV723 = SY3088 )
| ( SV723 = SV847 )
| ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV847 )
| ~ ( s_col @ SV495 @ SV631 @ SY3088 )
| ~ ( s_r @ SV847 @ SV723 @ SY3088 ) ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2147,plain,
! [SV632: $i,SV496: $i,SV325: $i,SV118: $i] :
( ( ( perp @ SV118 @ SV325 @ SV496 @ SV632 )
= $false )
| ( ( ~ ( s_col @ SV118 @ SV325 @ SV496 ) )
= $true )
| ( ( ~ ( s_col @ SV118 @ SV325 @ SV632 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1960]) ).
thf(2148,plain,
! [SV724: $i,SV633: $i,SV497: $i,SV326: $i,SV119: $i] :
( ( ( ~ ( perp @ SV119 @ SV326 @ SV497 @ SV633 )
| ~ ( s_col @ SV119 @ SV326 @ SV724 ) )
= $true )
| ( ( ~ ( s_col @ SV497 @ SV633 @ SV724 ) )
= $true )
| ( ( perpAt @ SV119 @ SV326 @ SV724 @ SV497 @ SV633 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1961]) ).
thf(2149,plain,
! [SV725: $i,SV634: $i,SV498: $i,SV327: $i,SV120: $i] :
( ( ( perpAt @ SV120 @ SV327 @ SV498 @ SV634 @ SV725 )
= $false )
| ( ( SV498
= ( il @ SV120 @ SV327 @ SV634 @ SV725 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1962]) ).
thf(2150,plain,
! [SV635: $i,SV499: $i,SV328: $i,SV121: $i] :
( ( ( SV121 = SV328 )
= $true )
| ( ( ~ ( s_col @ SV121 @ SV328 @ SV499 ) )
= $true )
| ( ( ~ ( perp @ SV121 @ SV328 @ SV635 @ SV499 ) )
= $true )
| ( ( perpAt @ SV121 @ SV328 @ SV499 @ SV635 @ SV499 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1963]) ).
thf(2151,plain,
! [SV636: $i,SV500: $i,SV726: $i,SV329: $i,SV122: $i] :
( ( ( s_col @ SV122 @ SV329 @ SV726 )
= $true )
| ( ( ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
| ( SV636 = SV500 )
| ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SV500 )
| ~ ( s_col @ SV122 @ SV329 @ SV636 ) )
= $true )
| ( ( ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1964]) ).
thf(2152,plain,
! [SV727: $i,SV637: $i,SV501: $i,SV330: $i,SV123: $i] :
( ( ( ( s_col @ SV123 @ SV330 @ SV501 )
| ~ ( s_col @ SV123 @ SV330 @ SV637 )
| ~ ( s_col @ SV123 @ SV330 @ SV727 )
| ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true )
| ( ( SV637 = SV727 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1965]) ).
thf(2153,plain,
! [SV638: $i,SV502: $i,SV331: $i,SV124: $i] :
( ( ( s_r @ SV124 @ SV331 @ SV502 )
= $false )
| ( ( ~ ( s_m @ ( s @ SV124 @ SV502 ) @ SV638 @ ( s @ SV331 @ SV502 ) ) )
= $true )
| ( ( s_r @ SV331 @ SV124 @ SV638 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1966]) ).
thf(2154,plain,
! [SV639: $i,SV125: $i,SV503: $i,SV332: $i] :
( ( ( SV332 = SV503 )
= $true )
| ( ( ~ ( s_r @ SV125 @ SV332 @ SV503 )
| ~ ( s_m @ ( s @ SV125 @ SV503 ) @ SV639 @ ( s @ SV332 @ SV503 ) ) )
= $true )
| ( ( SV125 = SV639 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1967]) ).
thf(2155,plain,
! [SV728: $i,SV641: $i,SV505: $i,SV334: $i,SV127: $i] :
( ( ( ( SV127 = SV334 )
| ( SV505 = SV641 )
| ~ ( s_col @ SV127 @ SV334 @ SV505 )
| ~ ( s_col @ SV127 @ SV334 @ SV641 ) )
= $true )
| ( ( ~ ( s_col @ SV505 @ SV641 @ SV728 ) )
= $true )
| ( ( s_col @ SV127 @ SV334 @ SV728 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1969]) ).
thf(2156,plain,
! [SV729: $i,SV642: $i,SV506: $i,SV335: $i,SV128: $i] :
( ( ( ~ ( le @ SV128 @ SV335 @ SV506 @ SV642 )
| ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
| ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 )
| ~ ( s_t @ SV335 @ SV729 @ SV642 ) )
= $true )
| ( ( ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1970]) ).
thf(2157,plain,
! [SV798: $i,SV643: $i,SV730: $i,SV130: $i,SV507: $i,SV848: $i,SV337: $i] :
( ( ( s_m @ SV337 @ SV848 @ SV507 )
| ( SV848
!= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
| ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 )
| ~ ( s_t @ SV130 @ SV730 @ SV643 )
| ~ ( s_t @ SV507 @ SV798 @ SV643 )
| ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2158,plain,
! [SV338: $i,SV508: $i,SV644: $i,SV731: $i,SV799: $i,SV849: $i,SV131: $i] :
( ( ( s_m @ SV131 @ SV849 @ SV799 )
| ( SV849
!= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
| ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 )
| ~ ( s_t @ SV131 @ SV731 @ SV644 )
| ~ ( s_t @ SV508 @ SV799 @ SV644 )
| ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2159,plain,
! [SV732: $i,SV645: $i,SV800: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true )
| ( ( ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
| ~ ( s_col @ SV339 @ SV509 @ SV732 )
| ~ ( s_t @ SV132 @ SV732 @ SV645 )
| ~ ( s_t @ SV509 @ SV800 @ SV645 )
| ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1973]) ).
thf(2160,plain,
! [SV646: $i,SV510: $i,SV340: $i,SV133: $i] :
( ( ( ~ ( s_col @ SV133 @ SV340 @ SV510 ) )
= $true )
| ( ( ~ ( s_col @ SV133 @ SV340 @ SV646 ) )
= $true )
| ( ( SV133 = SV340 )
= $true )
| ( ( s_col @ SV133 @ SV510 @ SV646 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1974]) ).
thf(2161,plain,
! [SV647: $i,SV511: $i,SV850: $i,SV801: $i,SV733: $i,SV341: $i,SV134: $i] :
( ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
| ( SV134 = SV341 )
| ( SV511 = SV647 )
| ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SV647 )
| ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1975]) ).
thf(2162,plain,
! [SV648: $i,SV512: $i,SV802: $i,SV734: $i,SV342: $i,SV135: $i] :
( ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
= $true )
| ( ( ( SV135 = SV342 )
| ( SV512 = SV648 )
| ~ ( s_col @ SV135 @ SV342 @ SV512 )
| ~ ( s_col @ SV135 @ SV342 @ SV648 )
| ~ ( perp @ SV512 @ SV648 @ SV734 @ SV802 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1976]) ).
thf(2163,plain,
! [SV343: $i,SV513: $i,SV649: $i,SV136: $i] :
( ( ( ( SV136 = SV649 )
| ( SV649 = SV513 )
| ( SV343 = SV513 )
| ( SV136 = SV343 )
| ( SV136 = SV513 ) )
= $true )
| ( ( ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 ) )
= $true )
| ( ( ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1977]) ).
thf(2164,plain,
! [SV345: $i,SV138: $i,SV803: $i,SV735: $i,SV651: $i,SV515: $i] :
( ( ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
| ( SV138 = SV345 )
| ( SV515 = SV651 )
| ~ ( s_col @ SV138 @ SV345 @ SV515 )
| ~ ( s_col @ SV138 @ SV345 @ SV651 ) )
= $true )
| ( ( ~ ( perp @ SV138 @ SV345 @ SV735 @ SV803 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1979]) ).
thf(2165,plain,
( ( ( s_col @ xa @ xb @ xq )
= $false )
| ( ( s_col @ xa @ xb @ xp )
= $false )
| ( ( xp = xq )
= $true )
| ( ( xa = xb )
= $true )
| ( ( perp @ xc @ xd @ xp @ xq )
= $true )
| ( ( ~ ( perp @ xc @ xd @ xa @ xb ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1980]) ).
thf(2166,plain,
! [SV736: $i,SV652: $i,SV346: $i,SV516: $i,SV139: $i] :
( ( ( ( SV139 = SV516 )
| ~ ( s_col @ SV139 @ SV346 @ SV516 )
| ( SV139 = SV346 ) )
= $true )
| ( ( ~ ( samesideline @ SV652 @ SV736 @ SV139 @ SV346 ) )
= $true )
| ( ( samesideline @ SV652 @ SV736 @ SV139 @ SV516 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1981]) ).
thf(2167,plain,
! [SV347: $i,SV140: $i,SV653: $i,SV517: $i] :
( ( ( samesideline @ SV517 @ SV653 @ SV140 @ SV347 )
= $false )
| ( ( SV140 = SV347 )
= $true )
| ( ( samesideline @ SV517 @ SV653 @ SV347 @ SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(2168,plain,
! [SV804: $i,SV737: $i,SV142: $i,SV655: $i,SV519: $i,SV349: $i,SV851: $i] :
( ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
| ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV737 )
| ~ ( s_m @ SV142 @ SV737 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV804 )
| ~ ( sameside @ SV142 @ SV804 @ SV851 )
| ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2169,plain,
! [SV805: $i,SV738: $i,SV143: $i,SV656: $i,SV520: $i,SV350: $i,SV852: $i] :
( ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
| ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV738 )
| ~ ( s_m @ SV143 @ SV738 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV805 )
| ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1985]) ).
thf(2170,plain,
! [SV522: $i,SV352: $i,SV145: $i,SV807: $i,SV657: $i,SV739: $i,SV853: $i] :
( ( ! [SY3089: $i] :
( ( sameside @ ( s @ SV853 @ SY3089 ) @ SV739 @ SV657 )
| ( SV807 = SV739 )
| ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
| ~ ( s_m @ SV807 @ SV853 @ SV739 )
| ~ ( sameside @ SY3089 @ SV807 @ SV145 )
| ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2171,plain,
! [SV854: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i,SV740: $i,SV808: $i] :
( ( ! [SY3090: $i] :
( ( SV808 = SV740 )
| ( sameside @ SY3090 @ SV808 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
| ~ ( s_m @ SV808 @ SV854 @ SV740 )
| ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 )
| ~ ( sameside @ ( s @ SV854 @ SY3090 ) @ SV740 @ SV658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2172,plain,
! [SV524: $i,SV354: $i,SV147: $i,SV809: $i,SV659: $i,SV741: $i,SV855: $i] :
( ( ! [SY3091: $i] :
( ( sameside @ ( s @ SV855 @ SY3091 ) @ SV741 @ SV659 )
| ( SV809 != SV741 )
| ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
| ~ ( s_m @ SV809 @ SV855 @ SV741 )
| ~ ( sameside @ SY3091 @ SV809 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1989]) ).
thf(2173,plain,
! [SV810: $i,SV525: $i,SV355: $i,SV148: $i,SV660: $i,SV742: $i,SV856: $i] :
( ( ! [SY3092: $i] :
( ( sameside @ ( s @ SV856 @ SY3092 ) @ SV742 @ SV660 )
| ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
| ~ ( s_m @ SV810 @ SV856 @ SV742 )
| ~ ( sameside @ SY3092 @ SV810 @ SV148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1990]) ).
thf(2174,plain,
! [SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV149: $i,SV526: $i,SV356: $i] :
( ( ! [SY3093: $i,SY3094: $i] :
( ( opposite @ SY3093 @ SV356 @ SV526 @ SY3094 )
| ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
| ~ ( s_m @ SV811 @ SV857 @ SV743 )
| ~ ( sameside @ SY3093 @ SV811 @ SV149 )
| ~ ( sameside @ SY3094 @ SV743 @ SV661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2175,plain,
! [SV744: $i,SV150: $i,SV662: $i,SV527: $i,SV357: $i,SV812: $i] :
( ( ( opposite @ SV812 @ SV357 @ SV527 @ SV662 )
= $true )
| ( ( ~ ( opposite @ SV150 @ SV357 @ SV527 @ SV662 )
| ~ ( s_col @ SV357 @ SV527 @ SV744 )
| ~ ( sameside @ SV150 @ SV744 @ SV812 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1992]) ).
thf(2176,plain,
! [SV745: $i,SV663: $i,SV528: $i,SV358: $i,SV151: $i] :
( ( ( ~ ( opposite @ SV151 @ SV358 @ SV528 @ SV663 ) )
= $true )
| ( ( opposite @ SV745 @ SV358 @ SV528 @ SV663 )
= $true )
| ( ( ~ ( samesideline @ SV151 @ SV745 @ SV358 @ SV528 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1993]) ).
thf(2177,plain,
! [SV529: $i,SV359: $i,SV664: $i,SV152: $i] :
( ( ( samesideline @ SV152 @ SV664 @ SV359 @ SV529 )
= $false )
| ( ( opposite @ SV152 @ SV359 @ SV529 @ SV664 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1994]) ).
thf(2178,plain,
! [SV746: $i,SV665: $i,SV530: $i,SV360: $i,SV153: $i] :
( ( ( ( SV153 = SV360 )
| ~ ( samesideline @ SV530 @ SV665 @ SV153 @ SV360 ) )
= $true )
| ( ( ~ ( samesideline @ SV665 @ SV746 @ SV153 @ SV360 ) )
= $true )
| ( ( samesideline @ SV530 @ SV746 @ SV153 @ SV360 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1995]) ).
thf(2179,plain,
! [SV813: $i,SV667: $i,SV532: $i,SV362: $i,SV155: $i] :
( ( ( ( SV155 = SV362 )
| ~ ( s_m @ SV532 @ SV667 @ SV813 )
| ~ ( s_col @ SV155 @ SV362 @ SV532 ) )
= $true )
| ( ( ~ ( s_col @ SV155 @ SV362 @ SV813 ) )
= $true )
| ( ( s_col @ SV155 @ SV362 @ SV667 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1997]) ).
thf(2180,plain,
! [SV747: $i,SV668: $i,SV533: $i,SV363: $i,SV156: $i] :
( ( ( ( SV156 = SV363 )
| ~ ( s_t @ SV363 @ SV156 @ SV533 ) )
= $true )
| ( ( ~ ( samesideline @ SV668 @ SV747 @ SV533 @ SV363 ) )
= $true )
| ( ( samesideline @ SV668 @ SV747 @ SV156 @ SV363 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1998]) ).
thf(2181,plain,
! [SV364: $i,SV157: $i,SV669: $i,SV534: $i] :
( ( ( samesideline @ SV534 @ SV669 @ SV157 @ SV364 )
= $false )
| ( ( SV157 = SV364 )
= $true )
| ( ( samesideline @ SV669 @ SV534 @ SV157 @ SV364 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1999]) ).
thf(2182,plain,
! [SV748: $i,SV670: $i,SV535: $i,SV365: $i,SV158: $i] :
( ( ( ~ ( opposite @ SV158 @ SV365 @ SV535 @ SV670 ) )
= $true )
| ( ( ~ ( samesideline @ SV670 @ SV748 @ SV365 @ SV535 ) )
= $true )
| ( ( opposite @ SV158 @ SV365 @ SV535 @ SV748 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2000]) ).
thf(2183,plain,
! [SV749: $i,SV366: $i,SV159: $i,SV536: $i,SV671: $i] :
( ( ( SV671 = SV536 )
= $true )
| ( ( ( SV159 = SV366 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV671 @ SV536 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV749 @ SV536 ) )
= $true )
| ( ( s_col @ SV536 @ SV671 @ SV749 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2001]) ).
thf(2184,plain,
! [SV814: $i,SV367: $i,SV160: $i,SV537: $i] :
( ( ( opposite @ SV537 @ SV160 @ SV367 @ SV814 )
= $true )
| ( ( ( samesideline @ SV537 @ SV814 @ SV160 @ SV367 )
| ( s_col @ SV160 @ SV367 @ SV814 )
| ( SV160 = SV367 )
| ( s_col @ SV160 @ SV367 @ SV537 ) )
= $true )
| ( ( SV160
= ( foot @ SV160 @ SV367 @ SV537 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2002]) ).
thf(2185,plain,
! [SV368: $i,SV161: $i,SV750: $i,SV538: $i] :
( ( ( samesideline @ SV538 @ SV750 @ SV161 @ SV368 )
= $true )
| ( ( ( s_col @ SV161 @ SV368 @ SV750 )
| ( SV161 = SV368 )
| ( s_col @ SV161 @ SV368 @ SV538 ) )
= $true )
| ( ( opposite @ SV538 @ SV161 @ SV368 @ SV750 )
= $true )
| ( ( SV161
= ( foot @ SV161 @ SV368 @ SV538 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2003]) ).
thf(2186,plain,
! [SV539: $i,SV672: $i,SV369: $i,SV162: $i] :
( ( ( s_col @ SV162 @ SV369 @ SV672 )
= $true )
| ( ( ( SV162 = SV369 )
| ( s_col @ SV162 @ SV369 @ SV539 ) )
= $true )
| ( ( samesideline @ SV539 @ SV672 @ SV162 @ SV369 )
= $true )
| ( ( opposite @ SV539 @ SV162 @ SV369 @ SV672 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2004]) ).
thf(2187,plain,
! [SV751: $i,SV673: $i,SV540: $i,SV370: $i,SV163: $i] :
( ( ( ~ ( samesideline @ SV163 @ SV370 @ SV540 @ SV673 ) )
= $true )
| ( ( ~ ( sameside @ SV163 @ SV673 @ SV751 ) )
= $true )
| ( ( samesideline @ SV751 @ SV370 @ SV540 @ SV673 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2005]) ).
thf(2188,plain,
! [SV752: $i,SV541: $i,SV674: $i,SV371: $i,SV164: $i] :
( ( ( s_col @ SV164 @ SV371 @ SV674 )
= $true )
| ( ( ( SV164 = SV371 )
| ~ ( s_col @ SV164 @ SV371 @ SV541 )
| ~ ( s_col @ SV674 @ SV752 @ SV541 )
| ~ ( sameside @ SV674 @ SV541 @ SV752 ) )
= $true )
| ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2006]) ).
thf(2189,plain,
! [SV675: $i,SV542: $i,SV372: $i,SV165: $i] :
( ( ( ( reflect @ SV165 @ SV372 @ SV542 )
= SV675 )
= $false )
| ( ( SV165 = SV372 )
= $true )
| ( ( ( reflect @ SV165 @ SV372 @ SV675 )
= SV542 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2190,plain,
! [SV677: $i,SV543: $i,SV374: $i,SV167: $i] :
( ( ( ( reflect @ SV167 @ SV374 @ SV543 )
= SV677 )
= $false )
| ( ( SV167 = SV374 )
= $true )
| ( ( SV543
= ( reflect @ SV167 @ SV374 @ SV677 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2008]) ).
thf(2191,plain,
! [SV678: $i,SV544: $i,SV375: $i,SV168: $i] :
( ( ( ( reflect @ SV168 @ SV375 @ SV544 )
= ( reflect @ SV168 @ SV375 @ SV678 ) )
= $false )
| ( ( SV168 = SV375 )
= $true )
| ( ( SV544 = SV678 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2009]) ).
thf(2192,plain,
! [SV753: $i,SV547: $i,SV378: $i,SV171: $i] :
( ( ( s_col @ SV171 @ SV378 @ SV547 )
= $false )
| ( ( SV171 = SV378 )
= $true )
| ( ( s_e @ SV547 @ SV753 @ ( reflect @ SV171 @ SV378 @ SV547 ) @ ( reflect @ SV171 @ SV378 @ SV753 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2012]) ).
thf(2193,plain,
! [SV680: $i,SV548: $i,SV380: $i,SV173: $i] :
( ( ( ~ ( s_r @ SV173 @ SV380 @ SV548 ) )
= $true )
| ( ( ~ ( s_r @ SV680 @ SV380 @ SV548 ) )
= $true )
| ( ( ~ ( s_e @ SV173 @ SV380 @ SV680 @ SV380 ) )
= $true )
| ( ( s_e @ SV173 @ SV548 @ SV680 @ SV548 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2013]) ).
thf(2194,plain,
! [SV681: $i,SV174: $i,SV755: $i,SV549: $i,SV381: $i] :
( ( ( SV381
!= ( midpoint @ SV549 @ SV755 ) )
= $true )
| ( ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
| ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SV681 @ SV381 @ SV755 )
| ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 )
| ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2014]) ).
thf(2195,plain,
! [SV756: $i,SV682: $i,SV550: $i,SV382: $i,SV175: $i] :
( ( ( ~ ( s_r @ SV175 @ SV382 @ SV550 )
| ~ ( s_r @ SV682 @ SV382 @ SV756 )
| ~ ( s_e @ SV175 @ SV382 @ SV682 @ SV382 ) )
= $true )
| ( ( ~ ( s_e @ SV382 @ SV550 @ SV382 @ SV756 ) )
= $true )
| ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2015]) ).
thf(2196,plain,
! [SV757: $i,SV383: $i,SV815: $i,SV683: $i,SV551: $i,SV176: $i] :
( ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
= $true )
| ( ( ~ ( s_r @ SV176 @ SV383 @ SV551 )
| ~ ( s_r @ SV683 @ SV757 @ SV815 )
| ~ ( s_e @ SV176 @ SV383 @ SV683 @ SV757 )
| ~ ( s_e @ SV383 @ SV551 @ SV757 @ SV815 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2016]) ).
thf(2197,plain,
! [SV858: $i,SV816: $i,SV178: $i,SV385: $i] :
( ( s_e @ SV385 @ ( ext @ SV178 @ SV385 @ SV816 @ SV858 ) @ SV816 @ SV858 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2198,plain,
! [SV859: $i,SV817: $i,SV385: $i,SV178: $i] :
( ( s_t @ SV178 @ SV385 @ ( ext @ SV178 @ SV385 @ SV817 @ SV859 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2199,plain,
! [SV818: $i,SV386: $i,SV179: $i,SV860: $i] :
( ( ( SV860
= ( reflect @ SV179 @ SV386 @ SV818 ) )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV818 @ SV860 ) )
| ~ ( perp @ SV179 @ SV386 @ SV818 @ SV860 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2200,plain,
! [SV819: $i,SV386: $i,SV179: $i,SV861: $i] :
( ( ( SV861
= ( reflect @ SV179 @ SV386 @ SV819 ) )
| ( SV819 != SV861 )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV819 @ SV861 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2020]) ).
thf(2201,plain,
( ( s_t @ alpha @ beta @ gamma )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2021]) ).
thf(2202,plain,
( ( s_t @ beta @ gamma @ alpha )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2022]) ).
thf(2203,plain,
! [SV180: $i] :
( ( ! [SY1492: $i] :
( ( SV180 = SY1492 )
| ! [SY1493: $i] : ( perp @ SV180 @ SY1492 @ ( erect @ SV180 @ SY1492 @ SY1493 ) @ SV180 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2204,plain,
! [SV180: $i] :
( ( ! [SY1494: $i] :
( ( SV180 = SY1494 )
| ! [SY1495: $i] : ( s_col @ SV180 @ SY1494 @ ( erectAux @ SV180 @ SY1494 @ SY1495 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2205,plain,
! [SV758: $i,SV180: $i,SV862: $i] :
( ( ( s_t @ SV862 @ ( erectAux @ SV180 @ SV758 @ SV862 ) @ ( erect @ SV180 @ SV758 @ SV862 ) )
= $true )
| ( ( SV180 = SV758 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2206,plain,
! [SV387: $i,SV181: $i] :
( ( ~ ! [SY2137: $i,SY2138: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2137 @ SY2138 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SY2137 @ SY2138 @ SV181 @ SV387 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2207,plain,
! [SV387: $i,SV181: $i] :
( ( ~ ! [SY2139: $i,SY2140: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2139 @ SY2140 )
| ( s_e @ SV181 @ ( ins @ SY2139 @ SY2140 @ SV181 @ SV387 ) @ SY2139 @ SY2140 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2026]) ).
thf(2208,plain,
! [SV863: $i,SV820: $i,SV387: $i,SV181: $i] :
( ( ~ ( le @ SV181 @ SV387 @ SV820 @ SV863 )
| ( ( ins @ SV820 @ SV863 @ SV181 @ SV387 )
= ( ext @ SV181 @ SV387 @ ( insert @ SV181 @ SV387 @ SV820 @ SV863 ) @ SV863 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2209,plain,
! [SV182: $i] :
( ( ! [SY1505: $i,SY1506: $i] :
( ~ ( s_m @ SV182 @ SY1505 @ SY1506 )
| ( s_t @ SV182 @ SY1505 @ SY1506 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2028]) ).
thf(2210,plain,
! [SV182: $i] :
( ( ! [SY1507: $i,SY1508: $i] :
( ~ ( s_m @ SV182 @ SY1507 @ SY1508 )
| ( s_e @ SY1507 @ SV182 @ SY1507 @ SY1508 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2029]) ).
thf(2211,plain,
! [SV821: $i,SV759: $i,SV182: $i] :
( ( ( s_m @ SV182 @ SV759 @ SV821 )
= $true )
| ( ( ~ ( s_t @ SV182 @ SV759 @ SV821 )
| ~ ( s_e @ SV759 @ SV182 @ SV759 @ SV821 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2030]) ).
thf(2212,plain,
! [SV183: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
| ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2031]) ).
thf(2213,plain,
! [SV183: $i] :
( ( ! [SY1517: $i,SY1518: $i] :
( ( sameside @ SV183 @ SY1517 @ SY1518 )
| ( xb = SY1517 )
| ~ ( s_t @ SY1517 @ SV183 @ SY1518 )
| ( SV183 = SY1517 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2032]) ).
thf(2214,plain,
! [SV822: $i,SV760: $i,SV183: $i] :
( ( ( sameside @ SV183 @ SV760 @ SV822 )
= $true )
| ( ( ( SV822 = SV760 )
| ~ ( s_t @ SV760 @ SV822 @ SV183 )
| ( SV183 = SV760 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2033]) ).
thf(2215,plain,
! [SV184: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
| ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2216,plain,
! [SV184: $i] :
( ( ! [SY1527: $i,SY1528: $i] :
( ~ ( sameside @ SV184 @ SY1527 @ SY1528 )
| ( s_t @ SV184 @ SY1527 @ ( c63 @ SV184 @ SY1527 @ SY1528 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2217,plain,
! [SV823: $i,SV761: $i,SV184: $i] :
( ( ( ~ ( sameside @ SV184 @ SV761 @ SV823 ) )
= $true )
| ( ( s_t @ SV823 @ SV761 @ ( c63 @ SV184 @ SV761 @ SV823 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2036]) ).
thf(2218,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV388 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2037]) ).
thf(2219,plain,
! [SV762: $i,SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ SV388 )
| ( s_col @ SV553 @ SV685 @ SV185 )
| ! [SY2942: $i,SY2943: $i] :
( ( SV388 = SY2943 )
| ( SV185 = SV762 )
| ( SY2942 = SY2943 )
| ( SY2942 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SY2942 )
| ~ ( s_t @ SV388 @ SY2943 @ SY2942 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SY2943 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2037]) ).
thf(2220,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
| ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) )
| ~ ! [SY2547: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2547 )
| ( s_t @ SV554 @ ( il @ SV554 @ SY2547 @ SV186 @ SV389 ) @ SY2547 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2038]) ).
thf(2221,plain,
! [SV864: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SV864 )
| ( s_col @ SV186 @ SV389 @ ( il @ SV554 @ SV864 @ SV186 @ SV389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2222,plain,
! [SV390: $i,SV187: $i,SV555: $i,SV865: $i] :
( ( ! [SY3095: $i] :
( ( SV865 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV865 )
| ~ ( s_col @ SV187 @ SV390 @ SY3095 )
| ~ ( perp @ SV187 @ SV390 @ SY3095 @ SV555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2040]) ).
thf(2223,plain,
! [SV390: $i,SV187: $i,SV866: $i,SV555: $i] :
( ( ! [SY3096: $i] :
( ( s_r @ SY3096 @ SV555 @ SV866 )
| ( SV866 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV866 )
| ~ ( perp @ SV187 @ SV390 @ SY3096 @ SV555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2224,plain,
! [SV824: $i,SV763: $i,SV188: $i] :
( ( ( ~ ( s_r @ SV188 @ SV763 @ SV824 ) )
= $true )
| ( ( s_e @ SV188 @ SV824 @ SV188 @ ( s @ SV763 @ SV824 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2042]) ).
thf(2225,plain,
! [SV825: $i,SV764: $i,SV188: $i] :
( ( ( s_r @ SV188 @ SV764 @ SV825 )
= $true )
| ( ( ~ ( s_e @ SV188 @ SV825 @ SV188 @ ( s @ SV764 @ SV825 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2043]) ).
thf(2226,plain,
! [SV189: $i] :
( ( ~ ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) )
| ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2044]) ).
thf(2227,plain,
! [SV189: $i] :
( ( ! [SY1559: $i,SY1560: $i] :
( ( s_col @ SV189 @ SY1559 @ SY1560 )
| ~ ( s_t @ SY1559 @ SY1560 @ SV189 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2045]) ).
thf(2228,plain,
! [SV826: $i,SV765: $i,SV189: $i] :
( ( ( s_col @ SV189 @ SV765 @ SV826 )
= $true )
| ( ( ~ ( s_t @ SV826 @ SV189 @ SV765 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2046]) ).
thf(2229,plain,
! [SV556: $i,SV391: $i,SV190: $i,SV867: $i] :
( ( ! [SY3097: $i] :
( ( s_t @ SV867 @ ( insert @ SV190 @ SV391 @ SV867 @ SY3097 ) @ SY3097 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SV867 @ SY3097 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2230,plain,
! [SV868: $i,SV556: $i,SV391: $i,SV190: $i] :
( ( ! [SY3098: $i] :
( ( s_e3 @ SV190 @ SV391 @ SV556 @ SV868 @ ( insert @ SV190 @ SV391 @ SV868 @ SY3098 ) @ SY3098 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SV868 @ SY3098 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2048]) ).
thf(2231,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
| ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) )
| ~ ! [SY3054: $i,SY3055: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3054 @ SY3055 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SY3055 ) ) )
| ~ ! [SY3056: $i,SY3057: $i] :
( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3056 @ SY3057 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SY3056 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SY3056 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SY3057 )
| ~ ( s_e @ SV392 @ SV686 @ SV827 @ SY3057 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2232,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2050]) ).
thf(2233,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ~ ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 )
| ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2050]) ).
thf(2234,plain,
! [SV869: $i,SV559: $i,SV193: $i,SV394: $i] :
( ( ! [SY3099: $i] :
( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SV869 @ SY3099 ) @ SV869 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SV869 @ SY3099 @ SV559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2235,plain,
! [SV870: $i,SV559: $i,SV394: $i,SV193: $i] :
( ( ! [SY3100: $i] :
( ( s_t @ SY3100 @ ( ip @ SV193 @ SV394 @ SV559 @ SV870 @ SY3100 ) @ SV193 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SV870 @ SY3100 @ SV559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2052]) ).
thf(2236,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
| ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) )
| ~ ! [SY2596: $i,SY2597: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2596 @ SY2597 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SY2596 @ SY2597 @ SV560 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2053]) ).
thf(2237,plain,
! [SV871: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY3101: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV871 @ SY3101 )
| ( s_r @ ( f813 @ SV194 @ SV395 @ SV871 @ SY3101 @ SV560 ) @ SV560 @ ( g813 @ SV194 @ SV395 @ SV871 @ SY3101 @ SV560 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2238,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ! [SY2600: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2600 )
| ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2600 ) @ SY2600 ) )
| ~ ! [SY2601: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2601 )
| ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2601 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2239,plain,
! [SV872: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ( le @ SV195 @ SV396 @ SV561 @ SV872 )
| ! [SY3102: $i] :
( ~ ( s_t @ SV561 @ SY3102 @ SV872 )
| ~ ( s_e @ SV195 @ SV396 @ SV561 @ SY3102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2240,plain,
! [SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ! [SY2819: $i,SY2820: $i] :
( ( s_t @ SY2820 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SY2819 @ SY2820 ) @ SV562 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SY2819 @ SV562 )
| ~ ( s_t @ SV196 @ SY2820 @ SV688 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2057]) ).
thf(2241,plain,
! [SV688: $i,SV562: $i,SV196: $i,SV397: $i] :
( ( ! [SY2821: $i,SY2822: $i] :
( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SY2821 @ SY2822 ) @ SY2821 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SY2821 @ SV562 )
| ~ ( s_t @ SV196 @ SY2822 @ SV688 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2058]) ).
thf(2242,plain,
! [SV398: $i,SV563: $i,SV873: $i,SV197: $i] :
( ( ! [SY3103: $i] :
( ( s_t @ SV197 @ ( op @ SY3103 @ SV873 @ SV563 @ SV398 @ SV197 ) @ SV873 )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SV873 @ SY3103 @ SV398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2059]) ).
thf(2243,plain,
! [SV197: $i,SV398: $i,SV874: $i,SV563: $i] :
( ( ! [SY3104: $i] :
( ( s_t @ SV563 @ SY3104 @ ( op @ SY3104 @ SV874 @ SV563 @ SV398 @ SV197 ) )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SV874 @ SY3104 @ SV398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2060]) ).
thf(2244,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
| ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) )
| ~ ! [SY3064: $i,SY3065: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3064 @ SY3065 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SY3065 ) ) )
| ~ ! [SY3066: $i,SY3067: $i] :
( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3066 @ SY3067 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3066 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SY3067 )
| ~ ( s_e @ SV399 @ SV689 @ SV828 @ SY3067 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2061]) ).
thf(2245,plain,
( ( s_col @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2062]) ).
thf(2246,plain,
( ( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
| ~ ( ( sK1_Xa != sK2_SY900 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2063]) ).
thf(2247,plain,
! [SV875: $i,SV769: $i,SV199: $i] :
( ( ( s_col @ SV199 @ SV769 @ ( midpoint @ SV875 @ ( reflect @ SV199 @ SV769 @ SV875 ) ) )
= $true )
| ( ( SV199 = SV769 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2064]) ).
thf(2248,plain,
! [SV829: $i,SV770: $i,SV199: $i] :
( ( ( perp @ SV199 @ SV770 @ SV829 @ ( reflect @ SV199 @ SV770 @ SV829 ) )
= $true )
| ( ( ( SV199 = SV770 )
| ( SV829
= ( reflect @ SV199 @ SV770 @ SV829 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2065]) ).
thf(2249,plain,
! [SV200: $i] :
( ( ! [SY1658: $i,SY1659: $i] :
( ( s_col @ SV200 @ SY1658 @ SY1659 )
| ( SV200 = SY1658 )
| ( perp @ SV200 @ SY1658 @ ( erect21a @ SV200 @ SY1658 @ SY1659 ) @ SV200 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2066]) ).
thf(2250,plain,
! [SV200: $i] :
( ( ! [SY1660: $i,SY1661: $i] :
( ( s_col @ SV200 @ SY1660 @ SY1661 )
| ( SV200 = SY1660 )
| ( s_col @ SV200 @ SY1660 @ ( erectAux21a @ SV200 @ SY1660 @ SY1661 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2067]) ).
thf(2251,plain,
! [SV830: $i,SV771: $i,SV200: $i] :
( ( ( s_col @ SV200 @ SV771 @ SV830 )
= $true )
| ( ( ( SV200 = SV771 )
| ( s_t @ SV830 @ ( erectAux21a @ SV200 @ SV771 @ SV830 ) @ ( erect21a @ SV200 @ SV771 @ SV830 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2068]) ).
thf(2252,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
| ~ ! [SY2988: $i,SY2989: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2988 @ SY2989 )
| ( s_m @ SY2989 @ SY2988 @ SV772 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2069]) ).
thf(2253,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ! [SY2990: $i,SY2991: $i] :
( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2990 @ SY2991 )
| ~ ( s_t @ SV201 @ SV690 @ SY2991 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SY2991 @ SV690 @ SV772 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SY2991 @ SY2990 @ SV772 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2069]) ).
thf(2254,plain,
! [SV831: $i,SV773: $i,SV202: $i] :
( ( ( ~ ( sameside @ SV202 @ SV773 @ SV831 ) )
= $true )
| ( ( s_col @ SV202 @ SV773 @ SV831 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2070]) ).
thf(2255,plain,
! [SV832: $i,SV774: $i,SV202: $i] :
( ( ( ~ ( sameside @ SV202 @ SV774 @ SV832 ) )
= $true )
| ( ( ~ ( s_t @ SV202 @ SV774 @ SV832 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2256,plain,
! [SV876: $i,SV566: $i,SV401: $i,SV203: $i] :
( ( ~ ( perp @ SV203 @ SV401 @ SV566 @ SV876 )
| ( perpAt @ SV203 @ SV401 @ ( il @ SV203 @ SV401 @ SV566 @ SV876 ) @ SV566 @ SV876 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2257,plain,
! [SV877: $i,SV566: $i,SV401: $i,SV203: $i] :
( ( ( perp @ SV203 @ SV401 @ SV566 @ SV877 )
| ! [SY3105: $i] :
~ ( perpAt @ SV203 @ SV401 @ SY3105 @ SV566 @ SV877 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2258,plain,
! [SV204: $i,SV402: $i,SV878: $i,SV833: $i] :
( ( ( sameside @ ( insert @ SV833 @ SV878 @ SV402 @ SV204 ) @ SV402 @ SV204 )
| ( SV204 = SV402 )
| ( SV833 = SV878 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2259,plain,
! [SV204: $i,SV879: $i,SV834: $i,SV402: $i] :
( ( ( s_e @ SV402 @ ( insert @ SV834 @ SV879 @ SV402 @ SV204 ) @ SV834 @ SV879 )
| ( SV204 = SV402 )
| ( SV834 = SV879 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2075]) ).
thf(2260,plain,
! [SV835: $i,SV775: $i,SV205: $i] :
( ( ( s_col @ SV205 @ SV775 @ SV835 )
= $true )
| ( ( s_col @ SV205 @ SV775 @ ( foot @ SV205 @ SV775 @ SV835 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2261,plain,
! [SV836: $i,SV776: $i,SV205: $i] :
( ( ( perp @ SV205 @ SV776 @ SV836 @ ( foot @ SV205 @ SV776 @ SV836 ) )
= $true )
| ( ( s_col @ SV205 @ SV776 @ SV836 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2077]) ).
thf(2262,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
| ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) )
| ~ ! [SY3080: $i,SY3081: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3080 @ SY3081 )
| ( s_e @ SV567 @ SV691 @ SY3080 @ SY3081 ) ) )
| ~ ! [SY3082: $i,SY3083: $i] :
( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3082 @ SY3083 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SY3082 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SY3082 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SY3082 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SY3083 )
| ~ ( s_e @ SV567 @ SV691 @ SY3082 @ SY3083 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2078]) ).
thf(2263,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) )
| ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) )
| ~ ! [SY2870: $i,SY2871: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2870 @ SY2871 )
| ( s_e @ SV404 @ SV568 @ SY2870 @ SY2871 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2264,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY2872: $i,SY2873: $i] :
( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2872 @ SY2873 )
| ~ ( s_e @ SV207 @ SV404 @ SV692 @ SY2872 )
| ~ ( s_e @ SV207 @ SV568 @ SV692 @ SY2873 )
| ~ ( s_e @ SV404 @ SV568 @ SY2872 @ SY2873 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2080]) ).
thf(2265,plain,
! [SV778: $i,SV693: $i,SV569: $i,SV405: $i,SV209: $i,SV2: $i] :
( ( ( ~ ( s_e @ SV2 @ SV209 @ SV405 @ SV569 ) )
= $true )
| ( ( ~ ( s_e @ SV2 @ SV209 @ SV693 @ SV778 ) )
= $true )
| ( ( s_e @ SV405 @ SV569 @ SV693 @ SV778 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2081]) ).
thf(2266,plain,
! [SV571: $i,SV406: $i,SV211: $i,SV4: $i,SV880: $i,SV779: $i,SV838: $i,SV694: $i] :
( ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
| ( SV4 = SV211 )
| ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
| ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
| ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 )
| ~ ( s_t @ SV4 @ SV211 @ SV694 )
| ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2267,plain,
! [SV780: $i,SV695: $i,SV573: $i,SV408: $i,SV215: $i,SV8: $i] :
( ( ( ~ ( s_e @ SV8 @ SV215 @ SV408 @ SV573 ) )
= $true )
| ( ( ~ ( s_e @ SV408 @ SV573 @ SV695 @ SV780 ) )
= $true )
| ( ( s_e @ SV8 @ SV215 @ SV695 @ SV780 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2083]) ).
thf(2268,plain,
! [SV781: $i,SV696: $i,SV576: $i,SV411: $i,SV219: $i,SV12: $i] :
( ( ( ~ ( s_t @ SV12 @ SV219 @ SV411 )
| ~ ( s_t @ SV576 @ SV696 @ SV781 )
| ~ ( s_e @ SV12 @ SV219 @ SV576 @ SV696 ) )
= $true )
| ( ( ~ ( s_e @ SV219 @ SV411 @ SV696 @ SV781 ) )
= $true )
| ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2084]) ).
thf(2269,plain,
! [SV697: $i,SV577: $i,SV412: $i,SV220: $i,SV13: $i] :
( ( ( SV13 = SV220 )
= $true )
| ( ( ~ ( s_t @ SV13 @ SV220 @ SV412 ) )
= $true )
| ( ( ~ ( s_e @ SV220 @ SV412 @ SV577 @ SV697 ) )
= $true )
| ( ( SV412
= ( ext @ SV13 @ SV220 @ SV577 @ SV697 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2085]) ).
thf(2270,plain,
! [SV782: $i,SV698: $i,SV580: $i,SV414: $i,SV223: $i,SV16: $i] :
( ( ( ~ ( s_t @ SV16 @ SV223 @ SV414 )
| ~ ( s_t @ SV580 @ SV698 @ SV782 )
| ~ ( s_e @ SV16 @ SV223 @ SV698 @ SV782 ) )
= $true )
| ( ( ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) )
= $true )
| ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2086]) ).
thf(2271,plain,
! [SV21: $i,SV416: $i,SV582: $i,SV228: $i] :
( ( ( s_t @ SV228 @ SV582 @ SV416 )
= $false )
| ( ( s_t @ SV21 @ SV228 @ SV416 )
= $false )
| ( ( s_t @ SV21 @ SV228 @ SV582 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2088]) ).
thf(2272,plain,
! [SV229: $i,SV583: $i,SV417: $i,SV22: $i] :
( ( ( s_t @ SV22 @ SV417 @ SV583 )
= $false )
| ( ( s_t @ SV22 @ SV229 @ SV417 )
= $false )
| ( ( s_t @ SV229 @ SV417 @ SV583 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2089]) ).
thf(2273,plain,
! [SV584: $i,SV418: $i,SV230: $i,SV23: $i] :
( ( ( s_t @ SV23 @ SV230 @ SV418 )
= $false )
| ( ( ~ ( s_t @ SV230 @ SV418 @ SV584 ) )
= $true )
| ( ( SV230 = SV418 )
= $true )
| ( ( s_t @ SV23 @ SV418 @ SV584 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2090]) ).
thf(2274,plain,
! [SV24: $i,SV419: $i,SV585: $i,SV231: $i] :
( ( ( s_t @ SV231 @ SV585 @ SV419 )
= $false )
| ( ( s_t @ SV24 @ SV231 @ SV419 )
= $false )
| ( ( s_t @ SV24 @ SV585 @ SV419 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2275,plain,
! [SV232: $i,SV586: $i,SV420: $i,SV25: $i] :
( ( ( s_t @ SV25 @ SV420 @ SV586 )
= $false )
| ( ( s_t @ SV25 @ SV232 @ SV420 )
= $false )
| ( ( s_t @ SV25 @ SV232 @ SV586 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2092]) ).
thf(2276,plain,
! [SV587: $i,SV421: $i,SV233: $i,SV26: $i] :
( ( ( s_t @ SV26 @ SV233 @ SV421 )
= $false )
| ( ( ~ ( s_t @ SV233 @ SV421 @ SV587 ) )
= $true )
| ( ( SV233 = SV421 )
= $true )
| ( ( s_t @ SV26 @ SV233 @ SV587 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2093]) ).
thf(2277,plain,
! [SV881: $i,SV839: $i,SV783: $i,SV699: $i,SV588: $i,SV422: $i,SV236: $i,SV29: $i] :
( ( ~ ( s_ifs @ SV29 @ SV236 @ SV422 @ SV588 @ SV699 @ SV783 @ SV839 @ SV881 )
| ( s_e @ SV236 @ SV588 @ SV783 @ SV881 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2278,plain,
! [SV840: $i,SV700: $i,SV589: $i,SV423: $i,SV237: $i,SV30: $i] :
( ( ( ~ ( s_t @ SV30 @ SV237 @ SV423 )
| ~ ( s_t @ SV589 @ SV700 @ SV840 )
| ~ ( s_e @ SV30 @ SV423 @ SV589 @ SV840 ) )
= $true )
| ( ( ~ ( s_e @ SV237 @ SV423 @ SV700 @ SV840 ) )
= $true )
| ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2095]) ).
thf(2279,plain,
! [SV784: $i,SV701: $i,SV590: $i,SV424: $i,SV238: $i,SV31: $i] :
( ( ( ~ ( s_t @ SV31 @ SV238 @ SV424 ) )
= $true )
| ( ( ~ ( s_e3 @ SV31 @ SV238 @ SV424 @ SV590 @ SV701 @ SV784 ) )
= $true )
| ( ( s_t @ SV590 @ SV701 @ SV784 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2096]) ).
thf(2280,plain,
! [SV785: $i,SV702: $i,SV591: $i,SV430: $i,SV246: $i,SV39: $i] :
( ( ( ~ ( s_col @ SV39 @ SV246 @ SV430 ) )
= $true )
| ( ( ~ ( s_e3 @ SV39 @ SV246 @ SV430 @ SV591 @ SV702 @ SV785 ) )
= $true )
| ( ( s_col @ SV591 @ SV702 @ SV785 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2097]) ).
thf(2281,plain,
! [SV703: $i,SV592: $i,SV431: $i,SV247: $i,SV40: $i] :
( ( ( s_col @ SV40 @ SV247 @ SV431 )
= $false )
| ( ( ~ ( s_e @ SV40 @ SV247 @ SV592 @ SV703 ) )
= $true )
| ( ( s_e3 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 @ ( insert5 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2282,plain,
! [SV786: $i,SV704: $i,SV248: $i,SV41: $i,SV882: $i,SV841: $i,SV593: $i,SV432: $i] :
( ( ( s_e @ SV432 @ SV593 @ SV841 @ SV882 )
| ~ ( s_fs @ SV41 @ SV248 @ SV432 @ SV593 @ SV704 @ SV786 @ SV841 @ SV882 )
| ( SV41 = SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2099]) ).
thf(2283,plain,
! [SV705: $i,SV594: $i,SV433: $i,SV249: $i,SV42: $i] :
( ( ( ( SV42 = SV249 )
| ~ ( s_col @ SV42 @ SV249 @ SV433 ) )
= $true )
| ( ( ~ ( s_e @ SV42 @ SV594 @ SV42 @ SV705 ) )
= $true )
| ( ( ~ ( s_e @ SV249 @ SV594 @ SV249 @ SV705 ) )
= $true )
| ( ( s_e @ SV433 @ SV594 @ SV433 @ SV705 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2100]) ).
thf(2284,plain,
! [SV595: $i,SV434: $i,SV250: $i,SV43: $i] :
( ( ( SV43 = SV250 )
= $true )
| ( ( ~ ( s_col @ SV43 @ SV250 @ SV434 ) )
= $true )
| ( ( ~ ( s_e @ SV43 @ SV434 @ SV43 @ SV595 ) )
= $true )
| ( ( ~ ( s_e @ SV250 @ SV434 @ SV250 @ SV595 ) )
= $true )
| ( ( SV434 = SV595 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2101]) ).
thf(2285,plain,
! [SV596: $i,SV435: $i,SV251: $i,SV44: $i] :
( ( ( s_t @ SV44 @ SV251 @ SV435 )
= $false )
| ( ( ~ ( s_e @ SV44 @ SV251 @ SV44 @ SV596 ) )
= $true )
| ( ( ~ ( s_e @ SV435 @ SV251 @ SV435 @ SV596 ) )
= $true )
| ( ( SV251 = SV596 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2102]) ).
thf(2286,plain,
! [SV597: $i,SV436: $i,SV252: $i,SV45: $i] :
( ( ( SV45 = SV252 )
= $true )
| ( ( ~ ( s_t @ SV45 @ SV252 @ SV436 ) )
= $true )
| ( ( ~ ( s_t @ SV45 @ SV252 @ SV597 ) )
= $true )
| ( ( s_t @ SV45 @ SV436 @ SV597 )
= $true )
| ( ( s_t @ SV45 @ SV597 @ SV436 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2103]) ).
thf(2287,plain,
! [SV598: $i,SV437: $i,SV253: $i,SV46: $i] :
( ( ( SV46 = SV253 )
= $true )
| ( ( ~ ( s_t @ SV46 @ SV253 @ SV437 ) )
= $true )
| ( ( ~ ( s_t @ SV46 @ SV253 @ SV598 ) )
= $true )
| ( ( s_t @ SV253 @ SV437 @ SV598 )
= $true )
| ( ( s_t @ SV253 @ SV598 @ SV437 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2104]) ).
thf(2288,plain,
! [SV599: $i,SV438: $i,SV254: $i,SV47: $i] :
( ( ( s_t @ SV47 @ SV254 @ SV438 )
= $false )
| ( ( ~ ( s_t @ SV47 @ SV599 @ SV438 ) )
= $true )
| ( ( s_t @ SV47 @ SV254 @ SV599 )
= $true )
| ( ( s_t @ SV47 @ SV599 @ SV254 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2105]) ).
thf(2289,plain,
! [SV600: $i,SV439: $i,SV706: $i,SV255: $i,SV48: $i] :
( ( ( s_t @ SV48 @ SV255 @ SV706 )
= $false )
| ( ( le @ SV48 @ SV255 @ SV439 @ SV600 )
= $true )
| ( ( ~ ( s_e @ SV48 @ SV706 @ SV439 @ SV600 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2290,plain,
! [SV601: $i,SV440: $i,SV256: $i,SV49: $i,SV883: $i,SV842: $i,SV787: $i,SV707: $i] :
( ( ( le @ SV707 @ SV787 @ SV842 @ SV883 )
| ~ ( le @ SV49 @ SV256 @ SV440 @ SV601 )
| ~ ( s_e @ SV49 @ SV256 @ SV707 @ SV787 )
| ~ ( s_e @ SV440 @ SV601 @ SV842 @ SV883 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2107]) ).
thf(2291,plain,
! [SV788: $i,SV708: $i,SV602: $i,SV441: $i,SV258: $i,SV51: $i] :
( ( ( ~ ( le @ SV51 @ SV258 @ SV441 @ SV602 ) )
= $true )
| ( ( ~ ( le @ SV441 @ SV602 @ SV708 @ SV788 ) )
= $true )
| ( ( le @ SV51 @ SV258 @ SV708 @ SV788 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2292,plain,
! [SV259: $i,SV52: $i,SV603: $i,SV442: $i] :
( ( ( le @ SV442 @ SV603 @ SV52 @ SV259 )
= $false )
| ( ( le @ SV52 @ SV259 @ SV442 @ SV603 )
= $false )
| ( ( s_e @ SV52 @ SV259 @ SV442 @ SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2109]) ).
thf(2293,plain,
! [SV448: $i,SV265: $i,SV58: $i] :
( ( ( le @ SV58 @ SV265 @ SV58 @ SV448 )
= $false )
| ( ( s_t @ SV58 @ SV265 @ SV448 )
= $true )
| ( ( s_col @ SV58 @ SV265 @ SV448 )
= $false )
| ( ( ~ ( le @ SV265 @ SV448 @ SV58 @ SV448 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2113]) ).
thf(2294,plain,
! [SV449: $i,SV59: $i,SV266: $i,SV709: $i] :
( ( ( SV709 = SV266 )
= $true )
| ( ( ( SV59 = SV266 )
| ( SV449 = SV266 ) )
= $true )
| ( ( ~ ( s_t @ SV59 @ SV266 @ SV709 ) )
= $true )
| ( ( ~ ( s_t @ SV449 @ SV266 @ SV709 ) )
= $true )
| ( ( sameside @ SV59 @ SV266 @ SV449 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2114]) ).
thf(2295,plain,
! [SV450: $i,SV60: $i,SV267: $i,SV710: $i] :
( ( ( SV710 = SV267 )
= $true )
| ( ( ( SV60 = SV267 )
| ( SV450 = SV267 ) )
= $true )
| ( ( ~ ( s_t @ SV60 @ SV267 @ SV710 ) )
= $true )
| ( ( s_t @ SV450 @ SV267 @ SV710 )
= $true )
| ( ( ~ ( sameside @ SV60 @ SV267 @ SV450 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2115]) ).
thf(2296,plain,
! [SV605: $i,SV61: $i,SV268: $i,SV451: $i] :
( ( ( SV451 = SV268 )
= $true )
| ( ( ( SV61 = SV268 )
| ( sameside @ SV61 @ SV268 @ SV451 ) )
= $true )
| ( ( SV605 = SV268 )
= $true )
| ( ( ~ ( s_t @ SV61 @ SV268 @ SV605 ) )
= $true )
| ( ( ~ ( s_t @ SV451 @ SV268 @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2116]) ).
thf(2297,plain,
! [SV65: $i,SV606: $i,SV272: $i,SV454: $i] :
( ( ( sameside @ SV454 @ SV272 @ SV606 )
= $false )
| ( ( sameside @ SV65 @ SV272 @ SV454 )
= $false )
| ( ( sameside @ SV65 @ SV272 @ SV606 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2298,plain,
! [SV789: $i,SV711: $i,SV607: $i,SV455: $i,SV273: $i,SV66: $i] :
( ( ( ( SV66 = SV273 )
| ( SV455 = SV607 )
| ~ ( sameside @ SV711 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 )
| ~ ( sameside @ SV789 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2118]) ).
thf(2299,plain,
! [SV608: $i,SV458: $i,SV276: $i,SV69: $i] :
( ( ( ( SV69 = SV276 )
| ( SV69 = SV458 )
| ~ ( s_t @ SV276 @ SV69 @ SV458 ) )
= $true )
| ( ( ~ ( s_col @ SV608 @ SV69 @ SV276 ) )
= $true )
| ( ( SV608 = SV69 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV276 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2121]) ).
thf(2300,plain,
! [SV609: $i,SV459: $i,SV277: $i,SV70: $i] :
( ( ( SV70 = SV277 )
= $true )
| ( ( SV70 = SV459 )
= $true )
| ( ( ~ ( s_t @ SV277 @ SV70 @ SV459 ) )
= $true )
| ( ( ~ ( sameside @ SV609 @ SV70 @ SV277 ) )
= $true )
| ( ( s_col @ SV609 @ SV70 @ SV277 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2122]) ).
thf(2301,plain,
! [SV610: $i,SV460: $i,SV278: $i,SV71: $i] :
( ( ( SV71 = SV278 )
= $true )
| ( ( SV71 = SV460 )
= $true )
| ( ( ~ ( s_t @ SV278 @ SV71 @ SV460 ) )
= $true )
| ( ( ~ ( sameside @ SV610 @ SV71 @ SV460 ) )
= $true )
| ( ( s_col @ SV610 @ SV71 @ SV278 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2123]) ).
thf(2302,plain,
! [SV611: $i,SV461: $i,SV279: $i,SV72: $i] :
( ( ( ( SV72 = SV279 )
| ( SV72 = SV461 ) )
= $true )
| ( ( ~ ( s_t @ SV279 @ SV72 @ SV461 ) )
= $true )
| ( ( SV611 = SV72 )
= $false )
| ( ( s_col @ SV611 @ SV72 @ SV279 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2124]) ).
thf(2303,plain,
! [SV612: $i,SV462: $i,SV280: $i,SV73: $i] :
( ( ( SV73 = SV280 )
= $true )
| ( ( ~ ( s_t @ SV462 @ SV73 @ SV280 ) )
= $true )
| ( ( ~ ( s_t @ SV612 @ SV73 @ SV280 ) )
= $true )
| ( ( s_t @ SV612 @ SV462 @ SV280 )
= $true )
| ( ( s_t @ SV462 @ SV612 @ SV280 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2125]) ).
thf(2304,plain,
! [SV613: $i,SV463: $i,SV281: $i,SV74: $i] :
( ( ( SV74 = SV281 )
= $true )
| ( ( SV463 = SV74 )
= $true )
| ( ( ~ ( s_col @ SV74 @ SV281 @ SV463 ) )
= $true )
| ( ( ~ ( s_col @ SV74 @ SV281 @ SV613 ) )
= $true )
| ( ( s_col @ SV74 @ SV463 @ SV613 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2126]) ).
thf(2305,plain,
! [SV712: $i,SV614: $i,SV465: $i,SV284: $i,SV77: $i] :
( ( ( ( SV77 = SV284 )
| ( SV465 = SV614 )
| ~ ( s_col @ SV465 @ SV614 @ SV77 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV284 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV712 ) )
= $true )
| ( ( s_col @ SV77 @ SV284 @ SV712 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2127]) ).
thf(2306,plain,
! [SV285: $i,SV78: $i,SV790: $i,SV713: $i,SV843: $i,SV615: $i,SV466: $i] :
( ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true )
| ( ( ( SV713 = SV790 )
| ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 )
| ~ ( s_col @ SV466 @ SV615 @ SV713 )
| ~ ( s_col @ SV78 @ SV285 @ SV790 )
| ~ ( s_col @ SV466 @ SV615 @ SV790 )
| ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2128]) ).
thf(2307,plain,
! [SV791: $i,SV714: $i,SV616: $i,SV467: $i,SV287: $i,SV80: $i] :
( ( ( ~ ( sameside @ SV80 @ SV287 @ SV467 )
| ~ ( sameside @ SV616 @ SV714 @ SV791 )
| ~ ( s_e @ SV287 @ SV80 @ SV714 @ SV616 ) )
= $true )
| ( ( ~ ( s_e @ SV287 @ SV467 @ SV714 @ SV791 ) )
= $true )
| ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2129]) ).
thf(2308,plain,
! [SV469: $i,SV617: $i,SV292: $i,SV85: $i] :
( ( ( s_m @ SV85 @ SV292 @ SV617 )
= $false )
| ( ( s_m @ SV85 @ SV292 @ SV469 )
= $false )
| ( ( SV469 = SV617 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2130]) ).
thf(2309,plain,
! [SV295: $i,SV471: $i,SV618: $i,SV88: $i] :
( ( ( ( s @ SV88 @ SV618 )
= SV471 )
= $false )
| ( ( ( s @ SV88 @ SV295 )
= SV471 )
= $false )
| ( ( SV295 = SV618 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2131]) ).
thf(2310,plain,
! [SV304: $i,SV478: $i,SV621: $i,SV97: $i] :
( ( ( s_m @ SV97 @ SV621 @ SV478 )
= $false )
| ( ( s_m @ SV97 @ SV304 @ SV478 )
= $false )
| ( ( SV304 = SV621 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2311,plain,
! [SV480: $i,SV100: $i,SV307: $i] :
( ( ( s_e @ SV307 @ SV100 @ SV307 @ SV480 )
= $false )
| ( ( s_col @ SV100 @ SV307 @ SV480 )
= $false )
| ( ( SV100 = SV480 )
= $true )
| ( ( s_m @ SV100 @ SV307 @ SV480 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2312,plain,
! [SV716: $i,SV481: $i,SV101: $i,SV623: $i,SV308: $i] :
( ( ( ( SV308 = SV623 )
| ( s_col @ SV101 @ SV308 @ SV481 )
| ~ ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
| ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 ) )
= $true )
| ( ( ~ ( s_col @ SV101 @ SV716 @ SV481 ) )
= $true )
| ( ( ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2136]) ).
thf(2313,plain,
! [SV845: $i,SV794: $i,SV717: $i,SV624: $i,SV482: $i,SV309: $i,SV102: $i] :
( ( ( ~ ( s_kf @ SV102 @ SV309 @ SV482 @ SV624 @ SV717 @ SV794 @ SV845 )
| ( s_t @ SV309 @ SV624 @ SV794 ) )
= $true )
| ( ( ~ ( le @ SV624 @ SV102 @ SV624 @ SV845 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2137]) ).
thf(2314,plain,
! [SV884: $i,SV795: $i,SV718: $i,SV625: $i,SV483: $i,SV310: $i,SV103: $i] :
( ( ( ~ ( s_kf @ SV103 @ SV310 @ SV483 @ SV625 @ SV718 @ SV795 @ SV884 ) )
= $true )
| ( ( s_t @ SV310 @ SV625 @ SV795 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2138]) ).
thf(2315,plain,
! [SV719: $i,SV626: $i,SV484: $i,SV104: $i,SV846: $i,SV311: $i,SV796: $i] :
( ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true )
| ( ( ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SV719 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
| ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 )
| ~ ( s_m @ SV104 @ SV796 @ SV626 )
| ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2139]) ).
thf(2316,plain,
! [SV627: $i,SV487: $i,SV314: $i,SV107: $i] :
( ( ( s_r @ SV107 @ SV314 @ SV487 )
= $false )
| ( ( SV107 = SV314 )
= $true )
| ( ( ~ ( s_col @ SV314 @ SV107 @ SV627 ) )
= $true )
| ( ( s_r @ SV627 @ SV314 @ SV487 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2140]) ).
thf(2317,plain,
! [SV720: $i,SV489: $i,SV317: $i,SV110: $i] :
( ( ( s_r @ SV110 @ SV317 @ SV489 )
= $false )
| ( ( ~ ( s_r @ SV720 @ SV317 @ SV489 ) )
= $true )
| ( ( ~ ( s_t @ SV110 @ SV489 @ SV720 ) )
= $true )
| ( ( SV317 = SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2141]) ).
thf(2318,plain,
! [SV491: $i,SV320: $i,SV113: $i] :
( ( ( s_col @ SV113 @ SV320 @ SV491 )
= $false )
| ( ( s_r @ SV113 @ SV320 @ SV491 )
= $false )
| ( ( SV113 = SV320 )
= $true )
| ( ( SV491 = SV320 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2143]) ).
thf(2319,plain,
! [SV797: $i,SV721: $i,SV628: $i,SV492: $i,SV321: $i,SV114: $i] :
( ( ( ~ ( s_r @ SV114 @ SV321 @ SV492 ) )
= $true )
| ( ( ~ ( s_e3 @ SV114 @ SV321 @ SV492 @ SV628 @ SV721 @ SV797 ) )
= $true )
| ( ( s_r @ SV628 @ SV721 @ SV797 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2144]) ).
thf(2320,plain,
! [SV631: $i,SV495: $i,SV324: $i,SV117: $i,SV847: $i,SV885: $i,SV723: $i] :
( ( ( ( SV723 = SV885 )
| ( SV723 = SV847 )
| ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV847 )
| ~ ( s_col @ SV495 @ SV631 @ SV885 )
| ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2321,plain,
! [SV632: $i,SV496: $i,SV325: $i,SV118: $i] :
( ( ( s_col @ SV118 @ SV325 @ SV496 )
= $false )
| ( ( perp @ SV118 @ SV325 @ SV496 @ SV632 )
= $false )
| ( ( ~ ( s_col @ SV118 @ SV325 @ SV632 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2322,plain,
! [SV724: $i,SV633: $i,SV497: $i,SV326: $i,SV119: $i] :
( ( ( ~ ( perp @ SV119 @ SV326 @ SV497 @ SV633 ) )
= $true )
| ( ( ~ ( s_col @ SV119 @ SV326 @ SV724 ) )
= $true )
| ( ( ~ ( s_col @ SV497 @ SV633 @ SV724 ) )
= $true )
| ( ( perpAt @ SV119 @ SV326 @ SV724 @ SV497 @ SV633 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2148]) ).
thf(2323,plain,
! [SV635: $i,SV499: $i,SV328: $i,SV121: $i] :
( ( ( s_col @ SV121 @ SV328 @ SV499 )
= $false )
| ( ( SV121 = SV328 )
= $true )
| ( ( ~ ( perp @ SV121 @ SV328 @ SV635 @ SV499 ) )
= $true )
| ( ( perpAt @ SV121 @ SV328 @ SV499 @ SV635 @ SV499 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2150]) ).
thf(2324,plain,
! [SV636: $i,SV500: $i,SV726: $i,SV329: $i,SV122: $i] :
( ( ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
= $true )
| ( ( ( SV636 = SV500 )
| ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SV500 )
| ~ ( s_col @ SV122 @ SV329 @ SV636 ) )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV726 )
= $true )
| ( ( ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2151]) ).
thf(2325,plain,
! [SV727: $i,SV637: $i,SV501: $i,SV330: $i,SV123: $i] :
( ( ( ( s_col @ SV123 @ SV330 @ SV501 )
| ~ ( s_col @ SV123 @ SV330 @ SV637 )
| ~ ( s_col @ SV123 @ SV330 @ SV727 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true )
| ( ( SV637 = SV727 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2152]) ).
thf(2326,plain,
! [SV331: $i,SV638: $i,SV502: $i,SV124: $i] :
( ( ( s_m @ ( s @ SV124 @ SV502 ) @ SV638 @ ( s @ SV331 @ SV502 ) )
= $false )
| ( ( s_r @ SV124 @ SV331 @ SV502 )
= $false )
| ( ( s_r @ SV331 @ SV124 @ SV638 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2153]) ).
thf(2327,plain,
! [SV639: $i,SV503: $i,SV332: $i,SV125: $i] :
( ( ( ~ ( s_r @ SV125 @ SV332 @ SV503 ) )
= $true )
| ( ( ~ ( s_m @ ( s @ SV125 @ SV503 ) @ SV639 @ ( s @ SV332 @ SV503 ) ) )
= $true )
| ( ( SV332 = SV503 )
= $true )
| ( ( SV125 = SV639 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2154]) ).
thf(2328,plain,
! [SV728: $i,SV641: $i,SV505: $i,SV334: $i,SV127: $i] :
( ( ( ( SV127 = SV334 )
| ( SV505 = SV641 )
| ~ ( s_col @ SV127 @ SV334 @ SV505 ) )
= $true )
| ( ( ~ ( s_col @ SV127 @ SV334 @ SV641 ) )
= $true )
| ( ( ~ ( s_col @ SV505 @ SV641 @ SV728 ) )
= $true )
| ( ( s_col @ SV127 @ SV334 @ SV728 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2155]) ).
thf(2329,plain,
! [SV729: $i,SV642: $i,SV506: $i,SV335: $i,SV128: $i] :
( ( ( ~ ( le @ SV128 @ SV335 @ SV506 @ SV642 )
| ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
| ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 ) )
= $true )
| ( ( ~ ( s_t @ SV335 @ SV729 @ SV642 ) )
= $true )
| ( ( ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2156]) ).
thf(2330,plain,
! [SV798: $i,SV643: $i,SV730: $i,SV130: $i,SV507: $i,SV848: $i,SV337: $i] :
( ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true )
| ( ( ( SV848
!= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
| ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 )
| ~ ( s_t @ SV130 @ SV730 @ SV643 )
| ~ ( s_t @ SV507 @ SV798 @ SV643 )
| ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2157]) ).
thf(2331,plain,
! [SV338: $i,SV508: $i,SV644: $i,SV731: $i,SV799: $i,SV849: $i,SV131: $i] :
( ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true )
| ( ( ( SV849
!= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
| ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 )
| ~ ( s_t @ SV131 @ SV731 @ SV644 )
| ~ ( s_t @ SV508 @ SV799 @ SV644 )
| ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2332,plain,
! [SV800: $i,SV732: $i,SV645: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ( ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
| ~ ( s_col @ SV339 @ SV509 @ SV732 )
| ~ ( s_t @ SV132 @ SV732 @ SV645 )
| ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2159]) ).
thf(2333,plain,
! [SV646: $i,SV510: $i,SV340: $i,SV133: $i] :
( ( ( s_col @ SV133 @ SV340 @ SV510 )
= $false )
| ( ( ~ ( s_col @ SV133 @ SV340 @ SV646 ) )
= $true )
| ( ( SV133 = SV340 )
= $true )
| ( ( s_col @ SV133 @ SV510 @ SV646 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2160]) ).
thf(2334,plain,
! [SV647: $i,SV511: $i,SV850: $i,SV801: $i,SV733: $i,SV341: $i,SV134: $i] :
( ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
= $true )
| ( ( ( SV134 = SV341 )
| ( SV511 = SV647 )
| ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SV647 )
| ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2161]) ).
thf(2335,plain,
! [SV802: $i,SV734: $i,SV648: $i,SV512: $i,SV342: $i,SV135: $i] :
( ( ( ( SV135 = SV342 )
| ( SV512 = SV648 )
| ~ ( s_col @ SV135 @ SV342 @ SV512 )
| ~ ( s_col @ SV135 @ SV342 @ SV648 ) )
= $true )
| ( ( ~ ( perp @ SV512 @ SV648 @ SV734 @ SV802 ) )
= $true )
| ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2162]) ).
thf(2336,plain,
! [SV343: $i,SV513: $i,SV649: $i,SV136: $i] :
( ( ( SV136 = SV649 )
= $true )
| ( ( ( SV649 = SV513 )
| ( SV343 = SV513 )
| ( SV136 = SV343 )
| ( SV136 = SV513 ) )
= $true )
| ( ( ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 ) )
= $true )
| ( ( ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2163]) ).
thf(2337,plain,
! [SV345: $i,SV138: $i,SV803: $i,SV735: $i,SV651: $i,SV515: $i] :
( ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
= $true )
| ( ( ( SV138 = SV345 )
| ( SV515 = SV651 )
| ~ ( s_col @ SV138 @ SV345 @ SV515 )
| ~ ( s_col @ SV138 @ SV345 @ SV651 ) )
= $true )
| ( ( ~ ( perp @ SV138 @ SV345 @ SV735 @ SV803 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2164]) ).
thf(2338,plain,
( ( ( perp @ xc @ xd @ xa @ xb )
= $false )
| ( ( perp @ xc @ xd @ xp @ xq )
= $true )
| ( ( xa = xb )
= $true )
| ( ( xp = xq )
= $true )
| ( ( s_col @ xa @ xb @ xp )
= $false )
| ( ( s_col @ xa @ xb @ xq )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2339,plain,
! [SV736: $i,SV652: $i,SV346: $i,SV516: $i,SV139: $i] :
( ( ( SV139 = SV516 )
= $true )
| ( ( ~ ( s_col @ SV139 @ SV346 @ SV516 )
| ( SV139 = SV346 ) )
= $true )
| ( ( ~ ( samesideline @ SV652 @ SV736 @ SV139 @ SV346 ) )
= $true )
| ( ( samesideline @ SV652 @ SV736 @ SV139 @ SV516 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2166]) ).
thf(2340,plain,
! [SV804: $i,SV737: $i,SV142: $i,SV655: $i,SV519: $i,SV349: $i,SV851: $i] :
( ( ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
| ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV737 )
| ~ ( s_m @ SV142 @ SV737 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV804 )
| ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2168]) ).
thf(2341,plain,
! [SV805: $i,SV738: $i,SV143: $i,SV656: $i,SV520: $i,SV350: $i,SV852: $i] :
( ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true )
| ( ( ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV738 )
| ~ ( s_m @ SV143 @ SV738 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV805 )
| ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2169]) ).
thf(2342,plain,
! [SV522: $i,SV352: $i,SV145: $i,SV807: $i,SV657: $i,SV739: $i,SV886: $i,SV853: $i] :
( ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
| ( SV807 = SV739 )
| ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
| ~ ( s_m @ SV807 @ SV853 @ SV739 )
| ~ ( sameside @ SV886 @ SV807 @ SV145 )
| ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2343,plain,
! [SV854: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i,SV887: $i,SV740: $i,SV808: $i] :
( ( ( SV808 = SV740 )
| ( sameside @ SV887 @ SV808 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
| ~ ( s_m @ SV808 @ SV854 @ SV740 )
| ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 )
| ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2171]) ).
thf(2344,plain,
! [SV524: $i,SV354: $i,SV147: $i,SV809: $i,SV659: $i,SV741: $i,SV888: $i,SV855: $i] :
( ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
| ( SV809 != SV741 )
| ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
| ~ ( s_m @ SV809 @ SV855 @ SV741 )
| ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2172]) ).
thf(2345,plain,
! [SV810: $i,SV525: $i,SV355: $i,SV148: $i,SV660: $i,SV742: $i,SV889: $i,SV856: $i] :
( ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
| ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
| ~ ( s_m @ SV810 @ SV856 @ SV742 )
| ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2173]) ).
thf(2346,plain,
! [SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV149: $i,SV526: $i,SV356: $i,SV890: $i] :
( ( ! [SY3106: $i] :
( ( opposite @ SV890 @ SV356 @ SV526 @ SY3106 )
| ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
| ~ ( s_m @ SV811 @ SV857 @ SV743 )
| ~ ( sameside @ SV890 @ SV811 @ SV149 )
| ~ ( sameside @ SY3106 @ SV743 @ SV661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2347,plain,
! [SV812: $i,SV744: $i,SV662: $i,SV527: $i,SV357: $i,SV150: $i] :
( ( ( ~ ( opposite @ SV150 @ SV357 @ SV527 @ SV662 )
| ~ ( s_col @ SV357 @ SV527 @ SV744 ) )
= $true )
| ( ( ~ ( sameside @ SV150 @ SV744 @ SV812 ) )
= $true )
| ( ( opposite @ SV812 @ SV357 @ SV527 @ SV662 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2175]) ).
thf(2348,plain,
! [SV745: $i,SV663: $i,SV528: $i,SV358: $i,SV151: $i] :
( ( ( opposite @ SV151 @ SV358 @ SV528 @ SV663 )
= $false )
| ( ( opposite @ SV745 @ SV358 @ SV528 @ SV663 )
= $true )
| ( ( ~ ( samesideline @ SV151 @ SV745 @ SV358 @ SV528 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2349,plain,
! [SV746: $i,SV665: $i,SV530: $i,SV360: $i,SV153: $i] :
( ( ( SV153 = SV360 )
= $true )
| ( ( ~ ( samesideline @ SV530 @ SV665 @ SV153 @ SV360 ) )
= $true )
| ( ( ~ ( samesideline @ SV665 @ SV746 @ SV153 @ SV360 ) )
= $true )
| ( ( samesideline @ SV530 @ SV746 @ SV153 @ SV360 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2178]) ).
thf(2350,plain,
! [SV813: $i,SV667: $i,SV532: $i,SV362: $i,SV155: $i] :
( ( ( ( SV155 = SV362 )
| ~ ( s_m @ SV532 @ SV667 @ SV813 ) )
= $true )
| ( ( ~ ( s_col @ SV155 @ SV362 @ SV532 ) )
= $true )
| ( ( ~ ( s_col @ SV155 @ SV362 @ SV813 ) )
= $true )
| ( ( s_col @ SV155 @ SV362 @ SV667 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2179]) ).
thf(2351,plain,
! [SV747: $i,SV668: $i,SV533: $i,SV363: $i,SV156: $i] :
( ( ( SV156 = SV363 )
= $true )
| ( ( ~ ( s_t @ SV363 @ SV156 @ SV533 ) )
= $true )
| ( ( ~ ( samesideline @ SV668 @ SV747 @ SV533 @ SV363 ) )
= $true )
| ( ( samesideline @ SV668 @ SV747 @ SV156 @ SV363 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2180]) ).
thf(2352,plain,
! [SV748: $i,SV670: $i,SV535: $i,SV365: $i,SV158: $i] :
( ( ( opposite @ SV158 @ SV365 @ SV535 @ SV670 )
= $false )
| ( ( ~ ( samesideline @ SV670 @ SV748 @ SV365 @ SV535 ) )
= $true )
| ( ( opposite @ SV158 @ SV365 @ SV535 @ SV748 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2182]) ).
thf(2353,plain,
! [SV749: $i,SV671: $i,SV536: $i,SV366: $i,SV159: $i] :
( ( ( ( SV159 = SV366 )
| ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV671 @ SV536 ) )
= $true )
| ( ( ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV749 @ SV536 ) )
= $true )
| ( ( SV671 = SV536 )
= $true )
| ( ( s_col @ SV536 @ SV671 @ SV749 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2183]) ).
thf(2354,plain,
! [SV367: $i,SV160: $i,SV814: $i,SV537: $i] :
( ( ( samesideline @ SV537 @ SV814 @ SV160 @ SV367 )
= $true )
| ( ( ( s_col @ SV160 @ SV367 @ SV814 )
| ( SV160 = SV367 )
| ( s_col @ SV160 @ SV367 @ SV537 ) )
= $true )
| ( ( opposite @ SV537 @ SV160 @ SV367 @ SV814 )
= $true )
| ( ( SV160
= ( foot @ SV160 @ SV367 @ SV537 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2184]) ).
thf(2355,plain,
! [SV538: $i,SV750: $i,SV368: $i,SV161: $i] :
( ( ( s_col @ SV161 @ SV368 @ SV750 )
= $true )
| ( ( ( SV161 = SV368 )
| ( s_col @ SV161 @ SV368 @ SV538 ) )
= $true )
| ( ( samesideline @ SV538 @ SV750 @ SV161 @ SV368 )
= $true )
| ( ( opposite @ SV538 @ SV161 @ SV368 @ SV750 )
= $true )
| ( ( SV161
= ( foot @ SV161 @ SV368 @ SV538 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2356,plain,
! [SV672: $i,SV539: $i,SV369: $i,SV162: $i] :
( ( ( SV162 = SV369 )
= $true )
| ( ( s_col @ SV162 @ SV369 @ SV539 )
= $true )
| ( ( s_col @ SV162 @ SV369 @ SV672 )
= $true )
| ( ( samesideline @ SV539 @ SV672 @ SV162 @ SV369 )
= $true )
| ( ( opposite @ SV539 @ SV162 @ SV369 @ SV672 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2186]) ).
thf(2357,plain,
! [SV751: $i,SV673: $i,SV540: $i,SV370: $i,SV163: $i] :
( ( ( samesideline @ SV163 @ SV370 @ SV540 @ SV673 )
= $false )
| ( ( ~ ( sameside @ SV163 @ SV673 @ SV751 ) )
= $true )
| ( ( samesideline @ SV751 @ SV370 @ SV540 @ SV673 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2187]) ).
thf(2358,plain,
! [SV752: $i,SV674: $i,SV541: $i,SV371: $i,SV164: $i] :
( ( ( ( SV164 = SV371 )
| ~ ( s_col @ SV164 @ SV371 @ SV541 )
| ~ ( s_col @ SV674 @ SV752 @ SV541 ) )
= $true )
| ( ( ~ ( sameside @ SV674 @ SV541 @ SV752 ) )
= $true )
| ( ( s_col @ SV164 @ SV371 @ SV674 )
= $true )
| ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2188]) ).
thf(2359,plain,
! [SV680: $i,SV548: $i,SV380: $i,SV173: $i] :
( ( ( s_r @ SV173 @ SV380 @ SV548 )
= $false )
| ( ( ~ ( s_r @ SV680 @ SV380 @ SV548 ) )
= $true )
| ( ( ~ ( s_e @ SV173 @ SV380 @ SV680 @ SV380 ) )
= $true )
| ( ( s_e @ SV173 @ SV548 @ SV680 @ SV548 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2193]) ).
thf(2360,plain,
! [SV681: $i,SV174: $i,SV755: $i,SV549: $i,SV381: $i] :
( ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
| ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SV681 @ SV381 @ SV755 )
| ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 )
| ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2194]) ).
thf(2361,plain,
! [SV756: $i,SV682: $i,SV550: $i,SV382: $i,SV175: $i] :
( ( ( ~ ( s_r @ SV175 @ SV382 @ SV550 )
| ~ ( s_r @ SV682 @ SV382 @ SV756 ) )
= $true )
| ( ( ~ ( s_e @ SV175 @ SV382 @ SV682 @ SV382 ) )
= $true )
| ( ( ~ ( s_e @ SV382 @ SV550 @ SV382 @ SV756 ) )
= $true )
| ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2195]) ).
thf(2362,plain,
! [SV815: $i,SV757: $i,SV683: $i,SV551: $i,SV383: $i,SV176: $i] :
( ( ( ~ ( s_r @ SV176 @ SV383 @ SV551 )
| ~ ( s_r @ SV683 @ SV757 @ SV815 )
| ~ ( s_e @ SV176 @ SV383 @ SV683 @ SV757 ) )
= $true )
| ( ( ~ ( s_e @ SV383 @ SV551 @ SV757 @ SV815 ) )
= $true )
| ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2196]) ).
thf(2363,plain,
! [SV818: $i,SV386: $i,SV179: $i,SV860: $i] :
( ( ( SV860
= ( reflect @ SV179 @ SV386 @ SV818 ) )
= $true )
| ( ( ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV818 @ SV860 ) )
| ~ ( perp @ SV179 @ SV386 @ SV818 @ SV860 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2199]) ).
thf(2364,plain,
! [SV819: $i,SV386: $i,SV179: $i,SV861: $i] :
( ( ( SV861
= ( reflect @ SV179 @ SV386 @ SV819 ) )
= $true )
| ( ( ( SV819 != SV861 )
| ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV819 @ SV861 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2200]) ).
thf(2365,plain,
! [SV891: $i,SV180: $i] :
( ( ( SV180 = SV891 )
| ! [SY3107: $i] : ( perp @ SV180 @ SV891 @ ( erect @ SV180 @ SV891 @ SY3107 ) @ SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2203]) ).
thf(2366,plain,
! [SV892: $i,SV180: $i] :
( ( ( SV180 = SV892 )
| ! [SY3108: $i] : ( s_col @ SV180 @ SV892 @ ( erectAux @ SV180 @ SV892 @ SY3108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2204]) ).
thf(2367,plain,
! [SV387: $i,SV181: $i] :
( ( ! [SY2137: $i,SY2138: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2137 @ SY2138 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SY2137 @ SY2138 @ SV181 @ SV387 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2206]) ).
thf(2368,plain,
! [SV387: $i,SV181: $i] :
( ( ! [SY2139: $i,SY2140: $i] :
( ~ ( le @ SV181 @ SV387 @ SY2139 @ SY2140 )
| ( s_e @ SV181 @ ( ins @ SY2139 @ SY2140 @ SV181 @ SV387 ) @ SY2139 @ SY2140 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2369,plain,
! [SV863: $i,SV820: $i,SV387: $i,SV181: $i] :
( ( ( ~ ( le @ SV181 @ SV387 @ SV820 @ SV863 ) )
= $true )
| ( ( ( ins @ SV820 @ SV863 @ SV181 @ SV387 )
= ( ext @ SV181 @ SV387 @ ( insert @ SV181 @ SV387 @ SV820 @ SV863 ) @ SV863 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2208]) ).
thf(2370,plain,
! [SV893: $i,SV182: $i] :
( ( ! [SY3109: $i] :
( ~ ( s_m @ SV182 @ SV893 @ SY3109 )
| ( s_t @ SV182 @ SV893 @ SY3109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2371,plain,
! [SV894: $i,SV182: $i] :
( ( ! [SY3110: $i] :
( ~ ( s_m @ SV182 @ SV894 @ SY3110 )
| ( s_e @ SV894 @ SV182 @ SV894 @ SY3110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2372,plain,
! [SV821: $i,SV759: $i,SV182: $i] :
( ( ( ~ ( s_t @ SV182 @ SV759 @ SV821 ) )
= $true )
| ( ( ~ ( s_e @ SV759 @ SV182 @ SV759 @ SV821 ) )
= $true )
| ( ( s_m @ SV182 @ SV759 @ SV821 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2211]) ).
thf(2373,plain,
! [SV183: $i] :
( ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
| ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2212]) ).
thf(2374,plain,
! [SV895: $i,SV183: $i] :
( ( ! [SY3111: $i] :
( ( sameside @ SV183 @ SV895 @ SY3111 )
| ( xb = SV895 )
| ~ ( s_t @ SV895 @ SV183 @ SY3111 )
| ( SV183 = SV895 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2375,plain,
! [SV183: $i,SV760: $i,SV822: $i] :
( ( ( SV822 = SV760 )
= $true )
| ( ( ~ ( s_t @ SV760 @ SV822 @ SV183 )
| ( SV183 = SV760 ) )
= $true )
| ( ( sameside @ SV183 @ SV760 @ SV822 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2214]) ).
thf(2376,plain,
! [SV184: $i] :
( ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
| ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(2377,plain,
! [SV896: $i,SV184: $i] :
( ( ! [SY3112: $i] :
( ~ ( sameside @ SV184 @ SV896 @ SY3112 )
| ( s_t @ SV184 @ SV896 @ ( c63 @ SV184 @ SV896 @ SY3112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2378,plain,
! [SV823: $i,SV761: $i,SV184: $i] :
( ( ( sameside @ SV184 @ SV761 @ SV823 )
= $false )
| ( ( s_t @ SV823 @ SV761 @ ( c63 @ SV184 @ SV761 @ SV823 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2217]) ).
thf(2379,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV388 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2380,plain,
! [SV762: $i,SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ SV388 )
| ( s_col @ SV553 @ SV685 @ SV185 )
| ! [SY2942: $i,SY2943: $i] :
( ( SV388 = SY2943 )
| ( SV185 = SV762 )
| ( SY2942 = SY2943 )
| ( SY2942 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SY2942 )
| ~ ( s_t @ SV388 @ SY2943 @ SY2942 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SY2943 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2381,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
| ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2220]) ).
thf(2382,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ! [SY2547: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2547 )
| ( s_t @ SV554 @ ( il @ SV554 @ SY2547 @ SV186 @ SV389 ) @ SY2547 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2220]) ).
thf(2383,plain,
! [SV864: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SV864 ) )
= $true )
| ( ( s_col @ SV186 @ SV389 @ ( il @ SV554 @ SV864 @ SV186 @ SV389 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2221]) ).
thf(2384,plain,
! [SV897: $i,SV390: $i,SV187: $i,SV555: $i,SV865: $i] :
( ( ( SV865 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV865 )
| ~ ( s_col @ SV187 @ SV390 @ SV897 )
| ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2222]) ).
thf(2385,plain,
! [SV390: $i,SV187: $i,SV866: $i,SV555: $i,SV898: $i] :
( ( ( s_r @ SV898 @ SV555 @ SV866 )
| ( SV866 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV866 )
| ~ ( perp @ SV187 @ SV390 @ SV898 @ SV555 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2386,plain,
! [SV824: $i,SV763: $i,SV188: $i] :
( ( ( s_r @ SV188 @ SV763 @ SV824 )
= $false )
| ( ( s_e @ SV188 @ SV824 @ SV188 @ ( s @ SV763 @ SV824 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2224]) ).
thf(2387,plain,
! [SV764: $i,SV825: $i,SV188: $i] :
( ( ( s_e @ SV188 @ SV825 @ SV188 @ ( s @ SV764 @ SV825 ) )
= $false )
| ( ( s_r @ SV188 @ SV764 @ SV825 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2225]) ).
thf(2388,plain,
! [SV189: $i] :
( ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) )
| ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2226]) ).
thf(2389,plain,
! [SV899: $i,SV189: $i] :
( ( ! [SY3113: $i] :
( ( s_col @ SV189 @ SV899 @ SY3113 )
| ~ ( s_t @ SV899 @ SY3113 @ SV189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2227]) ).
thf(2390,plain,
! [SV765: $i,SV189: $i,SV826: $i] :
( ( ( s_t @ SV826 @ SV189 @ SV765 )
= $false )
| ( ( s_col @ SV189 @ SV765 @ SV826 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2228]) ).
thf(2391,plain,
! [SV556: $i,SV900: $i,SV391: $i,SV190: $i,SV867: $i] :
( ( ( s_t @ SV867 @ ( insert @ SV190 @ SV391 @ SV867 @ SV900 ) @ SV900 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SV867 @ SV900 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2229]) ).
thf(2392,plain,
! [SV901: $i,SV868: $i,SV556: $i,SV391: $i,SV190: $i] :
( ( ( s_e3 @ SV190 @ SV391 @ SV556 @ SV868 @ ( insert @ SV190 @ SV391 @ SV868 @ SV901 ) @ SV901 )
| ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SV868 @ SV901 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2393,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
| ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) )
| ~ ! [SY3054: $i,SY3055: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3054 @ SY3055 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SY3055 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2394,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ! [SY3056: $i,SY3057: $i] :
( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3056 @ SY3057 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SY3056 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SY3056 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SY3057 )
| ~ ( s_e @ SV392 @ SV686 @ SV827 @ SY3057 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2395,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2396,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 )
| ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2233]) ).
thf(2397,plain,
! [SV902: $i,SV869: $i,SV559: $i,SV193: $i,SV394: $i] :
( ( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SV869 @ SV902 ) @ SV869 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SV869 @ SV902 @ SV559 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2398,plain,
! [SV870: $i,SV559: $i,SV394: $i,SV193: $i,SV903: $i] :
( ( ( s_t @ SV903 @ ( ip @ SV193 @ SV394 @ SV559 @ SV870 @ SV903 ) @ SV193 )
| ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SV870 @ SV903 @ SV559 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2399,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
| ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2236]) ).
thf(2400,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ! [SY2596: $i,SY2597: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2596 @ SY2597 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SY2596 @ SY2597 @ SV560 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2236]) ).
thf(2401,plain,
! [SV904: $i,SV871: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV871 @ SV904 )
| ( s_r @ ( f813 @ SV194 @ SV395 @ SV871 @ SV904 @ SV560 ) @ SV560 @ ( g813 @ SV194 @ SV395 @ SV871 @ SV904 @ SV560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2402,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ! [SY2600: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2600 )
| ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2600 ) @ SY2600 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2238]) ).
thf(2403,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ! [SY2601: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2601 )
| ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2601 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2238]) ).
thf(2404,plain,
! [SV872: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ( le @ SV195 @ SV396 @ SV561 @ SV872 )
= $true )
| ( ( ! [SY3102: $i] :
( ~ ( s_t @ SV561 @ SY3102 @ SV872 )
| ~ ( s_e @ SV195 @ SV396 @ SV561 @ SY3102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2239]) ).
thf(2405,plain,
! [SV905: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ! [SY3114: $i] :
( ( s_t @ SY3114 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV905 @ SY3114 ) @ SV562 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SV905 @ SV562 )
| ~ ( s_t @ SV196 @ SY3114 @ SV688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2406,plain,
! [SV906: $i,SV688: $i,SV562: $i,SV196: $i,SV397: $i] :
( ( ! [SY3115: $i] :
( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV906 @ SY3115 ) @ SV906 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SV906 @ SV562 )
| ~ ( s_t @ SV196 @ SY3115 @ SV688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2407,plain,
! [SV398: $i,SV563: $i,SV873: $i,SV907: $i,SV197: $i] :
( ( ( s_t @ SV197 @ ( op @ SV907 @ SV873 @ SV563 @ SV398 @ SV197 ) @ SV873 )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SV873 @ SV907 @ SV398 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2408,plain,
! [SV197: $i,SV398: $i,SV874: $i,SV908: $i,SV563: $i] :
( ( ( s_t @ SV563 @ SV908 @ ( op @ SV908 @ SV874 @ SV563 @ SV398 @ SV197 ) )
| ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SV874 @ SV908 @ SV398 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2409,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
| ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) )
| ~ ! [SY3064: $i,SY3065: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3064 @ SY3065 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SY3065 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2244]) ).
thf(2410,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ! [SY3066: $i,SY3067: $i] :
( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3066 @ SY3067 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3066 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SY3067 )
| ~ ( s_e @ SV399 @ SV689 @ SV828 @ SY3067 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2244]) ).
thf(2411,plain,
( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
!= sK4_SY905 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2246]) ).
thf(2412,plain,
( ( ~ ( ( sK1_Xa != sK2_SY900 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2246]) ).
thf(2413,plain,
! [SV829: $i,SV770: $i,SV199: $i] :
( ( ( SV199 = SV770 )
= $true )
| ( ( SV829
= ( reflect @ SV199 @ SV770 @ SV829 ) )
= $true )
| ( ( perp @ SV199 @ SV770 @ SV829 @ ( reflect @ SV199 @ SV770 @ SV829 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2248]) ).
thf(2414,plain,
! [SV909: $i,SV200: $i] :
( ( ! [SY3116: $i] :
( ( s_col @ SV200 @ SV909 @ SY3116 )
| ( SV200 = SV909 )
| ( perp @ SV200 @ SV909 @ ( erect21a @ SV200 @ SV909 @ SY3116 ) @ SV200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2415,plain,
! [SV910: $i,SV200: $i] :
( ( ! [SY3117: $i] :
( ( s_col @ SV200 @ SV910 @ SY3117 )
| ( SV200 = SV910 )
| ( s_col @ SV200 @ SV910 @ ( erectAux21a @ SV200 @ SV910 @ SY3117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2416,plain,
! [SV830: $i,SV771: $i,SV200: $i] :
( ( ( SV200 = SV771 )
= $true )
| ( ( s_t @ SV830 @ ( erectAux21a @ SV200 @ SV771 @ SV830 ) @ ( erect21a @ SV200 @ SV771 @ SV830 ) )
= $true )
| ( ( s_col @ SV200 @ SV771 @ SV830 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2251]) ).
thf(2417,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
| ~ ! [SY2988: $i,SY2989: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2988 @ SY2989 )
| ( s_m @ SY2989 @ SY2988 @ SV772 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2418,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2990: $i,SY2991: $i] :
( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2990 @ SY2991 )
| ~ ( s_t @ SV201 @ SV690 @ SY2991 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SY2991 @ SV690 @ SV772 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SY2991 @ SY2990 @ SV772 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2419,plain,
! [SV831: $i,SV773: $i,SV202: $i] :
( ( ( sameside @ SV202 @ SV773 @ SV831 )
= $false )
| ( ( s_col @ SV202 @ SV773 @ SV831 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2254]) ).
thf(2420,plain,
! [SV832: $i,SV774: $i,SV202: $i] :
( ( ( sameside @ SV202 @ SV774 @ SV832 )
= $false )
| ( ( ~ ( s_t @ SV202 @ SV774 @ SV832 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2255]) ).
thf(2421,plain,
! [SV876: $i,SV566: $i,SV401: $i,SV203: $i] :
( ( ( ~ ( perp @ SV203 @ SV401 @ SV566 @ SV876 ) )
= $true )
| ( ( perpAt @ SV203 @ SV401 @ ( il @ SV203 @ SV401 @ SV566 @ SV876 ) @ SV566 @ SV876 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2256]) ).
thf(2422,plain,
! [SV877: $i,SV566: $i,SV401: $i,SV203: $i] :
( ( ( perp @ SV203 @ SV401 @ SV566 @ SV877 )
= $true )
| ( ( ! [SY3105: $i] :
~ ( perpAt @ SV203 @ SV401 @ SY3105 @ SV566 @ SV877 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2257]) ).
thf(2423,plain,
! [SV204: $i,SV402: $i,SV878: $i,SV833: $i] :
( ( ( sameside @ ( insert @ SV833 @ SV878 @ SV402 @ SV204 ) @ SV402 @ SV204 )
= $true )
| ( ( ( SV204 = SV402 )
| ( SV833 = SV878 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2258]) ).
thf(2424,plain,
! [SV204: $i,SV879: $i,SV834: $i,SV402: $i] :
( ( ( s_e @ SV402 @ ( insert @ SV834 @ SV879 @ SV402 @ SV204 ) @ SV834 @ SV879 )
= $true )
| ( ( ( SV204 = SV402 )
| ( SV834 = SV879 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2259]) ).
thf(2425,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
| ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) )
| ~ ! [SY3080: $i,SY3081: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3080 @ SY3081 )
| ( s_e @ SV567 @ SV691 @ SY3080 @ SY3081 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2262]) ).
thf(2426,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ! [SY3082: $i,SY3083: $i] :
( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3082 @ SY3083 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SY3082 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SY3082 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SY3082 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SY3083 )
| ~ ( s_e @ SV567 @ SV691 @ SY3082 @ SY3083 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2262]) ).
thf(2427,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ~ ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) )
| ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) )
| ~ ! [SY2870: $i,SY2871: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2870 @ SY2871 )
| ( s_e @ SV404 @ SV568 @ SY2870 @ SY2871 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2428,plain,
! [SV911: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY3118: $i] :
( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV911 @ SY3118 )
| ~ ( s_e @ SV207 @ SV404 @ SV692 @ SV911 )
| ~ ( s_e @ SV207 @ SV568 @ SV692 @ SY3118 )
| ~ ( s_e @ SV404 @ SV568 @ SV911 @ SY3118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2264]) ).
thf(2429,plain,
! [SV778: $i,SV693: $i,SV569: $i,SV405: $i,SV209: $i,SV2: $i] :
( ( ( s_e @ SV2 @ SV209 @ SV405 @ SV569 )
= $false )
| ( ( ~ ( s_e @ SV2 @ SV209 @ SV693 @ SV778 ) )
= $true )
| ( ( s_e @ SV405 @ SV569 @ SV693 @ SV778 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2430,plain,
! [SV571: $i,SV406: $i,SV211: $i,SV4: $i,SV880: $i,SV779: $i,SV838: $i,SV694: $i] :
( ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true )
| ( ( ( SV4 = SV211 )
| ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
| ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
| ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 )
| ~ ( s_t @ SV4 @ SV211 @ SV694 )
| ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2266]) ).
thf(2431,plain,
! [SV780: $i,SV695: $i,SV573: $i,SV408: $i,SV215: $i,SV8: $i] :
( ( ( s_e @ SV8 @ SV215 @ SV408 @ SV573 )
= $false )
| ( ( ~ ( s_e @ SV408 @ SV573 @ SV695 @ SV780 ) )
= $true )
| ( ( s_e @ SV8 @ SV215 @ SV695 @ SV780 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2267]) ).
thf(2432,plain,
! [SV781: $i,SV696: $i,SV576: $i,SV411: $i,SV219: $i,SV12: $i] :
( ( ( ~ ( s_t @ SV12 @ SV219 @ SV411 )
| ~ ( s_t @ SV576 @ SV696 @ SV781 ) )
= $true )
| ( ( ~ ( s_e @ SV12 @ SV219 @ SV576 @ SV696 ) )
= $true )
| ( ( ~ ( s_e @ SV219 @ SV411 @ SV696 @ SV781 ) )
= $true )
| ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2268]) ).
thf(2433,plain,
! [SV697: $i,SV577: $i,SV412: $i,SV220: $i,SV13: $i] :
( ( ( s_t @ SV13 @ SV220 @ SV412 )
= $false )
| ( ( SV13 = SV220 )
= $true )
| ( ( ~ ( s_e @ SV220 @ SV412 @ SV577 @ SV697 ) )
= $true )
| ( ( SV412
= ( ext @ SV13 @ SV220 @ SV577 @ SV697 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2269]) ).
thf(2434,plain,
! [SV782: $i,SV698: $i,SV580: $i,SV414: $i,SV223: $i,SV16: $i] :
( ( ( ~ ( s_t @ SV16 @ SV223 @ SV414 )
| ~ ( s_t @ SV580 @ SV698 @ SV782 ) )
= $true )
| ( ( ~ ( s_e @ SV16 @ SV223 @ SV698 @ SV782 ) )
= $true )
| ( ( ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) )
= $true )
| ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2270]) ).
thf(2435,plain,
! [SV23: $i,SV584: $i,SV418: $i,SV230: $i] :
( ( ( s_t @ SV230 @ SV418 @ SV584 )
= $false )
| ( ( s_t @ SV23 @ SV230 @ SV418 )
= $false )
| ( ( SV230 = SV418 )
= $true )
| ( ( s_t @ SV23 @ SV418 @ SV584 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2436,plain,
! [SV26: $i,SV587: $i,SV421: $i,SV233: $i] :
( ( ( s_t @ SV233 @ SV421 @ SV587 )
= $false )
| ( ( s_t @ SV26 @ SV233 @ SV421 )
= $false )
| ( ( SV233 = SV421 )
= $true )
| ( ( s_t @ SV26 @ SV233 @ SV587 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2276]) ).
thf(2437,plain,
! [SV881: $i,SV839: $i,SV783: $i,SV699: $i,SV588: $i,SV422: $i,SV236: $i,SV29: $i] :
( ( ( ~ ( s_ifs @ SV29 @ SV236 @ SV422 @ SV588 @ SV699 @ SV783 @ SV839 @ SV881 ) )
= $true )
| ( ( s_e @ SV236 @ SV588 @ SV783 @ SV881 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2277]) ).
thf(2438,plain,
! [SV840: $i,SV700: $i,SV589: $i,SV423: $i,SV237: $i,SV30: $i] :
( ( ( ~ ( s_t @ SV30 @ SV237 @ SV423 )
| ~ ( s_t @ SV589 @ SV700 @ SV840 ) )
= $true )
| ( ( ~ ( s_e @ SV30 @ SV423 @ SV589 @ SV840 ) )
= $true )
| ( ( ~ ( s_e @ SV237 @ SV423 @ SV700 @ SV840 ) )
= $true )
| ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2278]) ).
thf(2439,plain,
! [SV784: $i,SV701: $i,SV590: $i,SV424: $i,SV238: $i,SV31: $i] :
( ( ( s_t @ SV31 @ SV238 @ SV424 )
= $false )
| ( ( ~ ( s_e3 @ SV31 @ SV238 @ SV424 @ SV590 @ SV701 @ SV784 ) )
= $true )
| ( ( s_t @ SV590 @ SV701 @ SV784 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2440,plain,
! [SV785: $i,SV702: $i,SV591: $i,SV430: $i,SV246: $i,SV39: $i] :
( ( ( s_col @ SV39 @ SV246 @ SV430 )
= $false )
| ( ( ~ ( s_e3 @ SV39 @ SV246 @ SV430 @ SV591 @ SV702 @ SV785 ) )
= $true )
| ( ( s_col @ SV591 @ SV702 @ SV785 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2441,plain,
! [SV431: $i,SV703: $i,SV592: $i,SV247: $i,SV40: $i] :
( ( ( s_e @ SV40 @ SV247 @ SV592 @ SV703 )
= $false )
| ( ( s_col @ SV40 @ SV247 @ SV431 )
= $false )
| ( ( s_e3 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 @ ( insert5 @ SV40 @ SV247 @ SV431 @ SV592 @ SV703 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2281]) ).
thf(2442,plain,
! [SV786: $i,SV704: $i,SV248: $i,SV41: $i,SV882: $i,SV841: $i,SV593: $i,SV432: $i] :
( ( ( s_e @ SV432 @ SV593 @ SV841 @ SV882 )
= $true )
| ( ( ~ ( s_fs @ SV41 @ SV248 @ SV432 @ SV593 @ SV704 @ SV786 @ SV841 @ SV882 )
| ( SV41 = SV248 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2282]) ).
thf(2443,plain,
! [SV705: $i,SV594: $i,SV433: $i,SV249: $i,SV42: $i] :
( ( ( SV42 = SV249 )
= $true )
| ( ( ~ ( s_col @ SV42 @ SV249 @ SV433 ) )
= $true )
| ( ( ~ ( s_e @ SV42 @ SV594 @ SV42 @ SV705 ) )
= $true )
| ( ( ~ ( s_e @ SV249 @ SV594 @ SV249 @ SV705 ) )
= $true )
| ( ( s_e @ SV433 @ SV594 @ SV433 @ SV705 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2283]) ).
thf(2444,plain,
! [SV595: $i,SV434: $i,SV250: $i,SV43: $i] :
( ( ( s_col @ SV43 @ SV250 @ SV434 )
= $false )
| ( ( SV43 = SV250 )
= $true )
| ( ( ~ ( s_e @ SV43 @ SV434 @ SV43 @ SV595 ) )
= $true )
| ( ( ~ ( s_e @ SV250 @ SV434 @ SV250 @ SV595 ) )
= $true )
| ( ( SV434 = SV595 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2445,plain,
! [SV435: $i,SV596: $i,SV251: $i,SV44: $i] :
( ( ( s_e @ SV44 @ SV251 @ SV44 @ SV596 )
= $false )
| ( ( s_t @ SV44 @ SV251 @ SV435 )
= $false )
| ( ( ~ ( s_e @ SV435 @ SV251 @ SV435 @ SV596 ) )
= $true )
| ( ( SV251 = SV596 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2446,plain,
! [SV597: $i,SV436: $i,SV252: $i,SV45: $i] :
( ( ( s_t @ SV45 @ SV252 @ SV436 )
= $false )
| ( ( SV45 = SV252 )
= $true )
| ( ( ~ ( s_t @ SV45 @ SV252 @ SV597 ) )
= $true )
| ( ( s_t @ SV45 @ SV436 @ SV597 )
= $true )
| ( ( s_t @ SV45 @ SV597 @ SV436 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2447,plain,
! [SV598: $i,SV437: $i,SV253: $i,SV46: $i] :
( ( ( s_t @ SV46 @ SV253 @ SV437 )
= $false )
| ( ( SV46 = SV253 )
= $true )
| ( ( ~ ( s_t @ SV46 @ SV253 @ SV598 ) )
= $true )
| ( ( s_t @ SV253 @ SV437 @ SV598 )
= $true )
| ( ( s_t @ SV253 @ SV598 @ SV437 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2448,plain,
! [SV254: $i,SV438: $i,SV599: $i,SV47: $i] :
( ( ( s_t @ SV47 @ SV599 @ SV438 )
= $false )
| ( ( s_t @ SV47 @ SV254 @ SV438 )
= $false )
| ( ( s_t @ SV47 @ SV254 @ SV599 )
= $true )
| ( ( s_t @ SV47 @ SV599 @ SV254 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2449,plain,
! [SV255: $i,SV600: $i,SV439: $i,SV706: $i,SV48: $i] :
( ( ( s_e @ SV48 @ SV706 @ SV439 @ SV600 )
= $false )
| ( ( le @ SV48 @ SV255 @ SV439 @ SV600 )
= $true )
| ( ( s_t @ SV48 @ SV255 @ SV706 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2289]) ).
thf(2450,plain,
! [SV601: $i,SV440: $i,SV256: $i,SV49: $i,SV883: $i,SV842: $i,SV787: $i,SV707: $i] :
( ( ( le @ SV707 @ SV787 @ SV842 @ SV883 )
= $true )
| ( ( ~ ( le @ SV49 @ SV256 @ SV440 @ SV601 )
| ~ ( s_e @ SV49 @ SV256 @ SV707 @ SV787 )
| ~ ( s_e @ SV440 @ SV601 @ SV842 @ SV883 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2290]) ).
thf(2451,plain,
! [SV788: $i,SV708: $i,SV602: $i,SV441: $i,SV258: $i,SV51: $i] :
( ( ( le @ SV51 @ SV258 @ SV441 @ SV602 )
= $false )
| ( ( ~ ( le @ SV441 @ SV602 @ SV708 @ SV788 ) )
= $true )
| ( ( le @ SV51 @ SV258 @ SV708 @ SV788 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2452,plain,
! [SV58: $i,SV448: $i,SV265: $i] :
( ( ( le @ SV265 @ SV448 @ SV58 @ SV448 )
= $false )
| ( ( s_col @ SV58 @ SV265 @ SV448 )
= $false )
| ( ( s_t @ SV58 @ SV265 @ SV448 )
= $true )
| ( ( le @ SV58 @ SV265 @ SV58 @ SV448 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2293]) ).
thf(2453,plain,
! [SV709: $i,SV449: $i,SV266: $i,SV59: $i] :
( ( ( SV59 = SV266 )
= $true )
| ( ( SV449 = SV266 )
= $true )
| ( ( SV709 = SV266 )
= $true )
| ( ( ~ ( s_t @ SV59 @ SV266 @ SV709 ) )
= $true )
| ( ( ~ ( s_t @ SV449 @ SV266 @ SV709 ) )
= $true )
| ( ( sameside @ SV59 @ SV266 @ SV449 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2294]) ).
thf(2454,plain,
! [SV710: $i,SV450: $i,SV267: $i,SV60: $i] :
( ( ( SV60 = SV267 )
= $true )
| ( ( SV450 = SV267 )
= $true )
| ( ( SV710 = SV267 )
= $true )
| ( ( ~ ( s_t @ SV60 @ SV267 @ SV710 ) )
= $true )
| ( ( s_t @ SV450 @ SV267 @ SV710 )
= $true )
| ( ( ~ ( sameside @ SV60 @ SV267 @ SV450 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2295]) ).
thf(2455,plain,
! [SV605: $i,SV451: $i,SV268: $i,SV61: $i] :
( ( ( SV61 = SV268 )
= $true )
| ( ( sameside @ SV61 @ SV268 @ SV451 )
= $true )
| ( ( SV451 = SV268 )
= $true )
| ( ( SV605 = SV268 )
= $true )
| ( ( ~ ( s_t @ SV61 @ SV268 @ SV605 ) )
= $true )
| ( ( ~ ( s_t @ SV451 @ SV268 @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2296]) ).
thf(2456,plain,
! [SV789: $i,SV711: $i,SV607: $i,SV455: $i,SV273: $i,SV66: $i] :
( ( ( ( SV66 = SV273 )
| ( SV455 = SV607 )
| ~ ( sameside @ SV711 @ SV273 @ SV66 )
| ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 ) )
= $true )
| ( ( ~ ( sameside @ SV789 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2298]) ).
thf(2457,plain,
! [SV608: $i,SV458: $i,SV276: $i,SV69: $i] :
( ( ( ( SV69 = SV276 )
| ( SV69 = SV458 ) )
= $true )
| ( ( ~ ( s_t @ SV276 @ SV69 @ SV458 ) )
= $true )
| ( ( ~ ( s_col @ SV608 @ SV69 @ SV276 ) )
= $true )
| ( ( SV608 = SV69 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV276 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2299]) ).
thf(2458,plain,
! [SV609: $i,SV459: $i,SV70: $i,SV277: $i] :
( ( ( s_t @ SV277 @ SV70 @ SV459 )
= $false )
| ( ( SV70 = SV459 )
= $true )
| ( ( SV70 = SV277 )
= $true )
| ( ( ~ ( sameside @ SV609 @ SV70 @ SV277 ) )
= $true )
| ( ( s_col @ SV609 @ SV70 @ SV277 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2300]) ).
thf(2459,plain,
! [SV610: $i,SV460: $i,SV71: $i,SV278: $i] :
( ( ( s_t @ SV278 @ SV71 @ SV460 )
= $false )
| ( ( SV71 = SV460 )
= $true )
| ( ( SV71 = SV278 )
= $true )
| ( ( ~ ( sameside @ SV610 @ SV71 @ SV460 ) )
= $true )
| ( ( s_col @ SV610 @ SV71 @ SV278 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2301]) ).
thf(2460,plain,
! [SV611: $i,SV461: $i,SV279: $i,SV72: $i] :
( ( ( SV72 = SV279 )
= $true )
| ( ( SV72 = SV461 )
= $true )
| ( ( ~ ( s_t @ SV279 @ SV72 @ SV461 ) )
= $true )
| ( ( SV611 = SV72 )
= $false )
| ( ( s_col @ SV611 @ SV72 @ SV279 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2302]) ).
thf(2461,plain,
! [SV612: $i,SV280: $i,SV73: $i,SV462: $i] :
( ( ( s_t @ SV462 @ SV73 @ SV280 )
= $false )
| ( ( SV73 = SV280 )
= $true )
| ( ( ~ ( s_t @ SV612 @ SV73 @ SV280 ) )
= $true )
| ( ( s_t @ SV612 @ SV462 @ SV280 )
= $true )
| ( ( s_t @ SV462 @ SV612 @ SV280 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2462,plain,
! [SV613: $i,SV463: $i,SV281: $i,SV74: $i] :
( ( ( s_col @ SV74 @ SV281 @ SV463 )
= $false )
| ( ( SV463 = SV74 )
= $true )
| ( ( SV74 = SV281 )
= $true )
| ( ( ~ ( s_col @ SV74 @ SV281 @ SV613 ) )
= $true )
| ( ( s_col @ SV74 @ SV463 @ SV613 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2463,plain,
! [SV712: $i,SV614: $i,SV465: $i,SV284: $i,SV77: $i] :
( ( ( ( SV77 = SV284 )
| ( SV465 = SV614 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV77 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV284 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV712 ) )
= $true )
| ( ( s_col @ SV77 @ SV284 @ SV712 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2305]) ).
thf(2464,plain,
! [SV843: $i,SV615: $i,SV466: $i,SV285: $i,SV78: $i,SV790: $i,SV713: $i] :
( ( ( ( SV713 = SV790 )
| ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 )
| ~ ( s_col @ SV466 @ SV615 @ SV713 )
| ~ ( s_col @ SV78 @ SV285 @ SV790 )
| ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2306]) ).
thf(2465,plain,
! [SV791: $i,SV714: $i,SV616: $i,SV467: $i,SV287: $i,SV80: $i] :
( ( ( ~ ( sameside @ SV80 @ SV287 @ SV467 )
| ~ ( sameside @ SV616 @ SV714 @ SV791 ) )
= $true )
| ( ( ~ ( s_e @ SV287 @ SV80 @ SV714 @ SV616 ) )
= $true )
| ( ( ~ ( s_e @ SV287 @ SV467 @ SV714 @ SV791 ) )
= $true )
| ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2307]) ).
thf(2466,plain,
! [SV716: $i,SV481: $i,SV101: $i,SV623: $i,SV308: $i] :
( ( ( ( SV308 = SV623 )
| ( s_col @ SV101 @ SV308 @ SV481 )
| ~ ( s_e @ SV101 @ SV308 @ SV481 @ SV623 ) )
= $true )
| ( ( ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 ) )
= $true )
| ( ( ~ ( s_col @ SV101 @ SV716 @ SV481 ) )
= $true )
| ( ( ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2312]) ).
thf(2467,plain,
! [SV845: $i,SV794: $i,SV717: $i,SV624: $i,SV482: $i,SV309: $i,SV102: $i] :
( ( ( ~ ( s_kf @ SV102 @ SV309 @ SV482 @ SV624 @ SV717 @ SV794 @ SV845 ) )
= $true )
| ( ( s_t @ SV309 @ SV624 @ SV794 )
= $true )
| ( ( ~ ( le @ SV624 @ SV102 @ SV624 @ SV845 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2468,plain,
! [SV884: $i,SV795: $i,SV718: $i,SV625: $i,SV483: $i,SV310: $i,SV103: $i] :
( ( ( s_kf @ SV103 @ SV310 @ SV483 @ SV625 @ SV718 @ SV795 @ SV884 )
= $false )
| ( ( s_t @ SV310 @ SV625 @ SV795 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2469,plain,
! [SV846: $i,SV796: $i,SV719: $i,SV626: $i,SV484: $i,SV311: $i,SV104: $i] :
( ( ( ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SV719 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
| ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 )
| ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2315]) ).
thf(2470,plain,
! [SV487: $i,SV627: $i,SV107: $i,SV314: $i] :
( ( ( s_col @ SV314 @ SV107 @ SV627 )
= $false )
| ( ( SV107 = SV314 )
= $true )
| ( ( s_r @ SV107 @ SV314 @ SV487 )
= $false )
| ( ( s_r @ SV627 @ SV314 @ SV487 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2316]) ).
thf(2471,plain,
! [SV110: $i,SV489: $i,SV317: $i,SV720: $i] :
( ( ( s_r @ SV720 @ SV317 @ SV489 )
= $false )
| ( ( s_r @ SV110 @ SV317 @ SV489 )
= $false )
| ( ( ~ ( s_t @ SV110 @ SV489 @ SV720 ) )
= $true )
| ( ( SV317 = SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2317]) ).
thf(2472,plain,
! [SV797: $i,SV721: $i,SV628: $i,SV492: $i,SV321: $i,SV114: $i] :
( ( ( s_r @ SV114 @ SV321 @ SV492 )
= $false )
| ( ( ~ ( s_e3 @ SV114 @ SV321 @ SV492 @ SV628 @ SV721 @ SV797 ) )
= $true )
| ( ( s_r @ SV628 @ SV721 @ SV797 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2319]) ).
thf(2473,plain,
! [SV631: $i,SV495: $i,SV324: $i,SV117: $i,SV847: $i,SV885: $i,SV723: $i] :
( ( ( ( SV723 = SV885 )
| ( SV723 = SV847 )
| ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV847 )
| ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2320]) ).
thf(2474,plain,
! [SV496: $i,SV632: $i,SV325: $i,SV118: $i] :
( ( ( s_col @ SV118 @ SV325 @ SV632 )
= $false )
| ( ( perp @ SV118 @ SV325 @ SV496 @ SV632 )
= $false )
| ( ( s_col @ SV118 @ SV325 @ SV496 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2321]) ).
thf(2475,plain,
! [SV724: $i,SV633: $i,SV497: $i,SV326: $i,SV119: $i] :
( ( ( perp @ SV119 @ SV326 @ SV497 @ SV633 )
= $false )
| ( ( ~ ( s_col @ SV119 @ SV326 @ SV724 ) )
= $true )
| ( ( ~ ( s_col @ SV497 @ SV633 @ SV724 ) )
= $true )
| ( ( perpAt @ SV119 @ SV326 @ SV724 @ SV497 @ SV633 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2322]) ).
thf(2476,plain,
! [SV499: $i,SV635: $i,SV328: $i,SV121: $i] :
( ( ( perp @ SV121 @ SV328 @ SV635 @ SV499 )
= $false )
| ( ( SV121 = SV328 )
= $true )
| ( ( s_col @ SV121 @ SV328 @ SV499 )
= $false )
| ( ( perpAt @ SV121 @ SV328 @ SV499 @ SV635 @ SV499 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2323]) ).
thf(2477,plain,
! [SV726: $i,SV329: $i,SV122: $i,SV500: $i,SV636: $i] :
( ( ( SV636 = SV500 )
= $true )
| ( ( ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SV500 )
| ~ ( s_col @ SV122 @ SV329 @ SV636 ) )
= $true )
| ( ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV726 )
= $true )
| ( ( ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2324]) ).
thf(2478,plain,
! [SV727: $i,SV637: $i,SV501: $i,SV330: $i,SV123: $i] :
( ( ( ( s_col @ SV123 @ SV330 @ SV501 )
| ~ ( s_col @ SV123 @ SV330 @ SV637 ) )
= $true )
| ( ( ~ ( s_col @ SV123 @ SV330 @ SV727 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true )
| ( ( SV637 = SV727 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2325]) ).
thf(2479,plain,
! [SV639: $i,SV503: $i,SV332: $i,SV125: $i] :
( ( ( s_r @ SV125 @ SV332 @ SV503 )
= $false )
| ( ( ~ ( s_m @ ( s @ SV125 @ SV503 ) @ SV639 @ ( s @ SV332 @ SV503 ) ) )
= $true )
| ( ( SV332 = SV503 )
= $true )
| ( ( SV125 = SV639 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2480,plain,
! [SV728: $i,SV641: $i,SV505: $i,SV334: $i,SV127: $i] :
( ( ( ( SV127 = SV334 )
| ( SV505 = SV641 ) )
= $true )
| ( ( ~ ( s_col @ SV127 @ SV334 @ SV505 ) )
= $true )
| ( ( ~ ( s_col @ SV127 @ SV334 @ SV641 ) )
= $true )
| ( ( ~ ( s_col @ SV505 @ SV641 @ SV728 ) )
= $true )
| ( ( s_col @ SV127 @ SV334 @ SV728 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2328]) ).
thf(2481,plain,
! [SV729: $i,SV642: $i,SV506: $i,SV335: $i,SV128: $i] :
( ( ( ~ ( le @ SV128 @ SV335 @ SV506 @ SV642 )
| ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 ) )
= $true )
| ( ( ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 ) )
= $true )
| ( ( ~ ( s_t @ SV335 @ SV729 @ SV642 ) )
= $true )
| ( ( ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2329]) ).
thf(2482,plain,
! [SV337: $i,SV798: $i,SV507: $i,SV643: $i,SV730: $i,SV130: $i,SV848: $i] :
( ( ( SV848
!= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $true )
| ( ( ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 )
| ~ ( s_t @ SV130 @ SV730 @ SV643 )
| ~ ( s_t @ SV507 @ SV798 @ SV643 )
| ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2330]) ).
thf(2483,plain,
! [SV338: $i,SV799: $i,SV508: $i,SV644: $i,SV731: $i,SV131: $i,SV849: $i] :
( ( ( SV849
!= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $true )
| ( ( ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 )
| ~ ( s_t @ SV131 @ SV731 @ SV644 )
| ~ ( s_t @ SV508 @ SV799 @ SV644 )
| ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2331]) ).
thf(2484,plain,
! [SV800: $i,SV732: $i,SV645: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ( ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
| ~ ( s_col @ SV339 @ SV509 @ SV732 )
| ~ ( s_t @ SV132 @ SV732 @ SV645 ) )
= $true )
| ( ( ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2332]) ).
thf(2485,plain,
! [SV510: $i,SV646: $i,SV340: $i,SV133: $i] :
( ( ( s_col @ SV133 @ SV340 @ SV646 )
= $false )
| ( ( s_col @ SV133 @ SV340 @ SV510 )
= $false )
| ( ( SV133 = SV340 )
= $true )
| ( ( s_col @ SV133 @ SV510 @ SV646 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2333]) ).
thf(2486,plain,
! [SV850: $i,SV801: $i,SV733: $i,SV647: $i,SV511: $i,SV341: $i,SV134: $i] :
( ( ( ( SV134 = SV341 )
| ( SV511 = SV647 )
| ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SV647 ) )
= $true )
| ( ( ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 ) )
= $true )
| ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2334]) ).
thf(2487,plain,
! [SV802: $i,SV734: $i,SV648: $i,SV512: $i,SV342: $i,SV135: $i] :
( ( ( SV135 = SV342 )
= $true )
| ( ( ( SV512 = SV648 )
| ~ ( s_col @ SV135 @ SV342 @ SV512 )
| ~ ( s_col @ SV135 @ SV342 @ SV648 ) )
= $true )
| ( ( ~ ( perp @ SV512 @ SV648 @ SV734 @ SV802 ) )
= $true )
| ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2335]) ).
thf(2488,plain,
! [SV136: $i,SV343: $i,SV513: $i,SV649: $i] :
( ( ( SV649 = SV513 )
= $true )
| ( ( ( SV343 = SV513 )
| ( SV136 = SV343 )
| ( SV136 = SV513 ) )
= $true )
| ( ( SV136 = SV649 )
= $true )
| ( ( ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 ) )
= $true )
| ( ( ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2336]) ).
thf(2489,plain,
! [SV803: $i,SV735: $i,SV651: $i,SV515: $i,SV345: $i,SV138: $i] :
( ( ( SV138 = SV345 )
= $true )
| ( ( ( SV515 = SV651 )
| ~ ( s_col @ SV138 @ SV345 @ SV515 )
| ~ ( s_col @ SV138 @ SV345 @ SV651 ) )
= $true )
| ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
= $true )
| ( ( ~ ( perp @ SV138 @ SV345 @ SV735 @ SV803 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2337]) ).
thf(2490,plain,
! [SV736: $i,SV652: $i,SV516: $i,SV346: $i,SV139: $i] :
( ( ( ~ ( s_col @ SV139 @ SV346 @ SV516 ) )
= $true )
| ( ( SV139 = SV346 )
= $true )
| ( ( SV139 = SV516 )
= $true )
| ( ( ~ ( samesideline @ SV652 @ SV736 @ SV139 @ SV346 ) )
= $true )
| ( ( samesideline @ SV652 @ SV736 @ SV139 @ SV516 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2339]) ).
thf(2491,plain,
! [SV804: $i,SV737: $i,SV142: $i,SV655: $i,SV519: $i,SV349: $i,SV851: $i] :
( ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV737 )
| ~ ( s_m @ SV142 @ SV737 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV804 )
| ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2340]) ).
thf(2492,plain,
! [SV852: $i,SV805: $i,SV738: $i,SV656: $i,SV520: $i,SV350: $i,SV143: $i] :
( ( ( ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV738 )
| ~ ( s_m @ SV143 @ SV738 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV805 ) )
= $true )
| ( ( ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2341]) ).
thf(2493,plain,
! [SV522: $i,SV352: $i,SV145: $i,SV807: $i,SV657: $i,SV739: $i,SV886: $i,SV853: $i] :
( ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true )
| ( ( ( SV807 = SV739 )
| ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
| ~ ( s_m @ SV807 @ SV853 @ SV739 )
| ~ ( sameside @ SV886 @ SV807 @ SV145 )
| ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2342]) ).
thf(2494,plain,
! [SV854: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i,SV887: $i,SV740: $i,SV808: $i] :
( ( ( ( SV808 = SV740 )
| ( sameside @ SV887 @ SV808 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
| ~ ( s_m @ SV808 @ SV854 @ SV740 )
| ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2343]) ).
thf(2495,plain,
! [SV524: $i,SV354: $i,SV147: $i,SV809: $i,SV659: $i,SV741: $i,SV888: $i,SV855: $i] :
( ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true )
| ( ( ( SV809 != SV741 )
| ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
| ~ ( s_m @ SV809 @ SV855 @ SV741 )
| ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2344]) ).
thf(2496,plain,
! [SV810: $i,SV525: $i,SV355: $i,SV148: $i,SV660: $i,SV742: $i,SV889: $i,SV856: $i] :
( ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true )
| ( ( ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
| ~ ( s_m @ SV810 @ SV856 @ SV742 )
| ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2345]) ).
thf(2497,plain,
! [SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV149: $i,SV912: $i,SV526: $i,SV356: $i,SV890: $i] :
( ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
| ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
| ~ ( s_m @ SV811 @ SV857 @ SV743 )
| ~ ( sameside @ SV890 @ SV811 @ SV149 )
| ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2346]) ).
thf(2498,plain,
! [SV812: $i,SV744: $i,SV662: $i,SV527: $i,SV357: $i,SV150: $i] :
( ( ( ~ ( opposite @ SV150 @ SV357 @ SV527 @ SV662 ) )
= $true )
| ( ( ~ ( s_col @ SV357 @ SV527 @ SV744 ) )
= $true )
| ( ( ~ ( sameside @ SV150 @ SV744 @ SV812 ) )
= $true )
| ( ( opposite @ SV812 @ SV357 @ SV527 @ SV662 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2347]) ).
thf(2499,plain,
! [SV663: $i,SV528: $i,SV358: $i,SV745: $i,SV151: $i] :
( ( ( samesideline @ SV151 @ SV745 @ SV358 @ SV528 )
= $false )
| ( ( opposite @ SV745 @ SV358 @ SV528 @ SV663 )
= $true )
| ( ( opposite @ SV151 @ SV358 @ SV528 @ SV663 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2348]) ).
thf(2500,plain,
! [SV746: $i,SV360: $i,SV153: $i,SV665: $i,SV530: $i] :
( ( ( samesideline @ SV530 @ SV665 @ SV153 @ SV360 )
= $false )
| ( ( SV153 = SV360 )
= $true )
| ( ( ~ ( samesideline @ SV665 @ SV746 @ SV153 @ SV360 ) )
= $true )
| ( ( samesideline @ SV530 @ SV746 @ SV153 @ SV360 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2349]) ).
thf(2501,plain,
! [SV813: $i,SV667: $i,SV532: $i,SV362: $i,SV155: $i] :
( ( ( SV155 = SV362 )
= $true )
| ( ( ~ ( s_m @ SV532 @ SV667 @ SV813 ) )
= $true )
| ( ( ~ ( s_col @ SV155 @ SV362 @ SV532 ) )
= $true )
| ( ( ~ ( s_col @ SV155 @ SV362 @ SV813 ) )
= $true )
| ( ( s_col @ SV155 @ SV362 @ SV667 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2350]) ).
thf(2502,plain,
! [SV747: $i,SV668: $i,SV533: $i,SV156: $i,SV363: $i] :
( ( ( s_t @ SV363 @ SV156 @ SV533 )
= $false )
| ( ( SV156 = SV363 )
= $true )
| ( ( ~ ( samesideline @ SV668 @ SV747 @ SV533 @ SV363 ) )
= $true )
| ( ( samesideline @ SV668 @ SV747 @ SV156 @ SV363 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2503,plain,
! [SV158: $i,SV535: $i,SV365: $i,SV748: $i,SV670: $i] :
( ( ( samesideline @ SV670 @ SV748 @ SV365 @ SV535 )
= $false )
| ( ( opposite @ SV158 @ SV365 @ SV535 @ SV670 )
= $false )
| ( ( opposite @ SV158 @ SV365 @ SV535 @ SV748 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2352]) ).
thf(2504,plain,
! [SV749: $i,SV671: $i,SV536: $i,SV366: $i,SV159: $i] :
( ( ( SV159 = SV366 )
= $true )
| ( ( ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV671 @ SV536 ) )
= $true )
| ( ( ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV749 @ SV536 ) )
= $true )
| ( ( SV671 = SV536 )
= $true )
| ( ( s_col @ SV536 @ SV671 @ SV749 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2353]) ).
thf(2505,plain,
! [SV537: $i,SV814: $i,SV367: $i,SV160: $i] :
( ( ( s_col @ SV160 @ SV367 @ SV814 )
= $true )
| ( ( ( SV160 = SV367 )
| ( s_col @ SV160 @ SV367 @ SV537 ) )
= $true )
| ( ( samesideline @ SV537 @ SV814 @ SV160 @ SV367 )
= $true )
| ( ( opposite @ SV537 @ SV160 @ SV367 @ SV814 )
= $true )
| ( ( SV160
= ( foot @ SV160 @ SV367 @ SV537 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2354]) ).
thf(2506,plain,
! [SV750: $i,SV538: $i,SV368: $i,SV161: $i] :
( ( ( SV161 = SV368 )
= $true )
| ( ( s_col @ SV161 @ SV368 @ SV538 )
= $true )
| ( ( s_col @ SV161 @ SV368 @ SV750 )
= $true )
| ( ( samesideline @ SV538 @ SV750 @ SV161 @ SV368 )
= $true )
| ( ( opposite @ SV538 @ SV161 @ SV368 @ SV750 )
= $true )
| ( ( SV161
= ( foot @ SV161 @ SV368 @ SV538 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2355]) ).
thf(2507,plain,
! [SV540: $i,SV370: $i,SV751: $i,SV673: $i,SV163: $i] :
( ( ( sameside @ SV163 @ SV673 @ SV751 )
= $false )
| ( ( samesideline @ SV163 @ SV370 @ SV540 @ SV673 )
= $false )
| ( ( samesideline @ SV751 @ SV370 @ SV540 @ SV673 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2508,plain,
! [SV752: $i,SV674: $i,SV541: $i,SV371: $i,SV164: $i] :
( ( ( ( SV164 = SV371 )
| ~ ( s_col @ SV164 @ SV371 @ SV541 ) )
= $true )
| ( ( ~ ( s_col @ SV674 @ SV752 @ SV541 ) )
= $true )
| ( ( ~ ( sameside @ SV674 @ SV541 @ SV752 ) )
= $true )
| ( ( s_col @ SV164 @ SV371 @ SV674 )
= $true )
| ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2358]) ).
thf(2509,plain,
! [SV173: $i,SV548: $i,SV380: $i,SV680: $i] :
( ( ( s_r @ SV680 @ SV380 @ SV548 )
= $false )
| ( ( s_r @ SV173 @ SV380 @ SV548 )
= $false )
| ( ( ~ ( s_e @ SV173 @ SV380 @ SV680 @ SV380 ) )
= $true )
| ( ( s_e @ SV173 @ SV548 @ SV680 @ SV548 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2359]) ).
thf(2510,plain,
! [SV381: $i,SV755: $i,SV681: $i,SV549: $i,SV174: $i] :
( ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
= $true )
| ( ( ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SV681 @ SV381 @ SV755 )
| ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 )
| ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2360]) ).
thf(2511,plain,
! [SV756: $i,SV682: $i,SV550: $i,SV382: $i,SV175: $i] :
( ( ( ~ ( s_r @ SV175 @ SV382 @ SV550 ) )
= $true )
| ( ( ~ ( s_r @ SV682 @ SV382 @ SV756 ) )
= $true )
| ( ( ~ ( s_e @ SV175 @ SV382 @ SV682 @ SV382 ) )
= $true )
| ( ( ~ ( s_e @ SV382 @ SV550 @ SV382 @ SV756 ) )
= $true )
| ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2361]) ).
thf(2512,plain,
! [SV815: $i,SV757: $i,SV683: $i,SV551: $i,SV383: $i,SV176: $i] :
( ( ( ~ ( s_r @ SV176 @ SV383 @ SV551 )
| ~ ( s_r @ SV683 @ SV757 @ SV815 ) )
= $true )
| ( ( ~ ( s_e @ SV176 @ SV383 @ SV683 @ SV757 ) )
= $true )
| ( ( ~ ( s_e @ SV383 @ SV551 @ SV757 @ SV815 ) )
= $true )
| ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2362]) ).
thf(2513,plain,
! [SV860: $i,SV818: $i,SV386: $i,SV179: $i] :
( ( ( ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV818 @ SV860 ) ) )
= $true )
| ( ( ~ ( perp @ SV179 @ SV386 @ SV818 @ SV860 ) )
= $true )
| ( ( SV860
= ( reflect @ SV179 @ SV386 @ SV818 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2363]) ).
thf(2514,plain,
! [SV386: $i,SV179: $i,SV861: $i,SV819: $i] :
( ( ( SV819 != SV861 )
= $true )
| ( ( ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV819 @ SV861 ) ) )
= $true )
| ( ( SV861
= ( reflect @ SV179 @ SV386 @ SV819 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2364]) ).
thf(2515,plain,
! [SV891: $i,SV180: $i] :
( ( ( SV180 = SV891 )
= $true )
| ( ( ! [SY3107: $i] : ( perp @ SV180 @ SV891 @ ( erect @ SV180 @ SV891 @ SY3107 ) @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2365]) ).
thf(2516,plain,
! [SV892: $i,SV180: $i] :
( ( ( SV180 = SV892 )
= $true )
| ( ( ! [SY3108: $i] : ( s_col @ SV180 @ SV892 @ ( erectAux @ SV180 @ SV892 @ SY3108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2517,plain,
! [SV913: $i,SV387: $i,SV181: $i] :
( ( ! [SY3119: $i] :
( ~ ( le @ SV181 @ SV387 @ SV913 @ SY3119 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SV913 @ SY3119 @ SV181 @ SV387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2367]) ).
thf(2518,plain,
! [SV914: $i,SV387: $i,SV181: $i] :
( ( ! [SY3120: $i] :
( ~ ( le @ SV181 @ SV387 @ SV914 @ SY3120 )
| ( s_e @ SV181 @ ( ins @ SV914 @ SY3120 @ SV181 @ SV387 ) @ SV914 @ SY3120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2368]) ).
thf(2519,plain,
! [SV863: $i,SV820: $i,SV387: $i,SV181: $i] :
( ( ( le @ SV181 @ SV387 @ SV820 @ SV863 )
= $false )
| ( ( ( ins @ SV820 @ SV863 @ SV181 @ SV387 )
= ( ext @ SV181 @ SV387 @ ( insert @ SV181 @ SV387 @ SV820 @ SV863 ) @ SV863 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2369]) ).
thf(2520,plain,
! [SV915: $i,SV893: $i,SV182: $i] :
( ( ~ ( s_m @ SV182 @ SV893 @ SV915 )
| ( s_t @ SV182 @ SV893 @ SV915 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2521,plain,
! [SV916: $i,SV894: $i,SV182: $i] :
( ( ~ ( s_m @ SV182 @ SV894 @ SV916 )
| ( s_e @ SV894 @ SV182 @ SV894 @ SV916 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2371]) ).
thf(2522,plain,
! [SV821: $i,SV759: $i,SV182: $i] :
( ( ( s_t @ SV182 @ SV759 @ SV821 )
= $false )
| ( ( ~ ( s_e @ SV759 @ SV182 @ SV759 @ SV821 ) )
= $true )
| ( ( s_m @ SV182 @ SV759 @ SV821 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2372]) ).
thf(2523,plain,
! [SV183: $i] :
( ( ~ ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2373]) ).
thf(2524,plain,
! [SV183: $i] :
( ( ~ ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2373]) ).
thf(2525,plain,
! [SV917: $i,SV895: $i,SV183: $i] :
( ( ( sameside @ SV183 @ SV895 @ SV917 )
| ( xb = SV895 )
| ~ ( s_t @ SV895 @ SV183 @ SV917 )
| ( SV183 = SV895 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2374]) ).
thf(2526,plain,
! [SV183: $i,SV822: $i,SV760: $i] :
( ( ( ~ ( s_t @ SV760 @ SV822 @ SV183 ) )
= $true )
| ( ( SV183 = SV760 )
= $true )
| ( ( SV822 = SV760 )
= $true )
| ( ( sameside @ SV183 @ SV760 @ SV822 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2375]) ).
thf(2527,plain,
! [SV184: $i] :
( ( ~ ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2528,plain,
! [SV184: $i] :
( ( ~ ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2529,plain,
! [SV918: $i,SV896: $i,SV184: $i] :
( ( ~ ( sameside @ SV184 @ SV896 @ SV918 )
| ( s_t @ SV184 @ SV896 @ ( c63 @ SV184 @ SV896 @ SV918 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2377]) ).
thf(2530,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV388 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2379]) ).
thf(2531,plain,
! [SV762: $i,SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true )
| ( ( ( s_col @ SV553 @ SV685 @ SV388 )
| ( s_col @ SV553 @ SV685 @ SV185 )
| ! [SY2942: $i,SY2943: $i] :
( ( SV388 = SY2943 )
| ( SV185 = SV762 )
| ( SY2942 = SY2943 )
| ( SY2942 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SY2942 )
| ~ ( s_t @ SV388 @ SY2943 @ SY2942 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SY2943 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2380]) ).
thf(2532,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
| ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2381]) ).
thf(2533,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ! [SY2547: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2547 )
| ( s_t @ SV554 @ ( il @ SV554 @ SY2547 @ SV186 @ SV389 ) @ SY2547 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2382]) ).
thf(2534,plain,
! [SV864: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( opposite @ SV554 @ SV186 @ SV389 @ SV864 )
= $false )
| ( ( s_col @ SV186 @ SV389 @ ( il @ SV554 @ SV864 @ SV186 @ SV389 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2383]) ).
thf(2535,plain,
! [SV897: $i,SV390: $i,SV187: $i,SV555: $i,SV865: $i] :
( ( ( ( SV865 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV865 )
| ~ ( s_col @ SV187 @ SV390 @ SV897 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2384]) ).
thf(2536,plain,
! [SV390: $i,SV187: $i,SV866: $i,SV555: $i,SV898: $i] :
( ( ( ( s_r @ SV898 @ SV555 @ SV866 )
| ( SV866 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV866 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV898 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2385]) ).
thf(2537,plain,
! [SV189: $i] :
( ( ~ ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2388]) ).
thf(2538,plain,
! [SV189: $i] :
( ( ~ ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2388]) ).
thf(2539,plain,
! [SV919: $i,SV899: $i,SV189: $i] :
( ( ( s_col @ SV189 @ SV899 @ SV919 )
| ~ ( s_t @ SV899 @ SV919 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2540,plain,
! [SV556: $i,SV900: $i,SV391: $i,SV190: $i,SV867: $i] :
( ( ( s_t @ SV867 @ ( insert @ SV190 @ SV391 @ SV867 @ SV900 ) @ SV900 )
= $true )
| ( ( ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SV867 @ SV900 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2391]) ).
thf(2541,plain,
! [SV901: $i,SV868: $i,SV556: $i,SV391: $i,SV190: $i] :
( ( ( s_e3 @ SV190 @ SV391 @ SV556 @ SV868 @ ( insert @ SV190 @ SV391 @ SV868 @ SV901 ) @ SV901 )
= $true )
| ( ( ~ ( s_t @ SV190 @ SV391 @ SV556 )
| ~ ( s_e @ SV190 @ SV556 @ SV868 @ SV901 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2392]) ).
thf(2542,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
| ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) )
| ~ ! [SY3054: $i,SY3055: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3054 @ SY3055 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SY3055 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(2543,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3056: $i,SY3057: $i] :
( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3056 @ SY3057 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SY3056 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SY3056 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SY3057 )
| ~ ( s_e @ SV392 @ SV686 @ SV827 @ SY3057 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2394]) ).
thf(2544,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2545,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2396]) ).
thf(2546,plain,
! [SV902: $i,SV869: $i,SV559: $i,SV193: $i,SV394: $i] :
( ( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SV869 @ SV902 ) @ SV869 )
= $true )
| ( ( ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SV869 @ SV902 @ SV559 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2397]) ).
thf(2547,plain,
! [SV870: $i,SV559: $i,SV394: $i,SV193: $i,SV903: $i] :
( ( ( s_t @ SV903 @ ( ip @ SV193 @ SV394 @ SV559 @ SV870 @ SV903 ) @ SV193 )
= $true )
| ( ( ~ ( s_t @ SV193 @ SV394 @ SV559 )
| ~ ( s_t @ SV870 @ SV903 @ SV559 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2398]) ).
thf(2548,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
| ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2549,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2596: $i,SY2597: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2596 @ SY2597 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SY2596 @ SY2597 @ SV560 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2400]) ).
thf(2550,plain,
! [SV904: $i,SV871: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV871 @ SV904 ) )
= $true )
| ( ( s_r @ ( f813 @ SV194 @ SV395 @ SV871 @ SV904 @ SV560 ) @ SV560 @ ( g813 @ SV194 @ SV395 @ SV871 @ SV904 @ SV560 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2401]) ).
thf(2551,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ! [SY2600: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2600 )
| ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2600 ) @ SY2600 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2402]) ).
thf(2552,plain,
! [SV561: $i,SV396: $i,SV195: $i] :
( ( ! [SY2601: $i] :
( ~ ( le @ SV195 @ SV396 @ SV561 @ SY2601 )
| ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SY2601 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2403]) ).
thf(2553,plain,
! [SV396: $i,SV195: $i,SV872: $i,SV920: $i,SV561: $i] :
( ( ( ~ ( s_t @ SV561 @ SV920 @ SV872 )
| ~ ( s_e @ SV195 @ SV396 @ SV561 @ SV920 ) )
= $true )
| ( ( le @ SV195 @ SV396 @ SV561 @ SV872 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2404]) ).
thf(2554,plain,
! [SV905: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i,SV921: $i] :
( ( ( s_t @ SV921 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV905 @ SV921 ) @ SV562 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SV905 @ SV562 )
| ~ ( s_t @ SV196 @ SV921 @ SV688 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2405]) ).
thf(2555,plain,
! [SV922: $i,SV906: $i,SV688: $i,SV562: $i,SV196: $i,SV397: $i] :
( ( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV906 @ SV922 ) @ SV906 )
| ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SV906 @ SV562 )
| ~ ( s_t @ SV196 @ SV922 @ SV688 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2406]) ).
thf(2556,plain,
! [SV398: $i,SV563: $i,SV873: $i,SV907: $i,SV197: $i] :
( ( ( s_t @ SV197 @ ( op @ SV907 @ SV873 @ SV563 @ SV398 @ SV197 ) @ SV873 )
= $true )
| ( ( ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SV873 @ SV907 @ SV398 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2407]) ).
thf(2557,plain,
! [SV197: $i,SV398: $i,SV874: $i,SV908: $i,SV563: $i] :
( ( ( s_t @ SV563 @ SV908 @ ( op @ SV908 @ SV874 @ SV563 @ SV398 @ SV197 ) )
= $true )
| ( ( ~ ( s_t @ SV197 @ SV398 @ SV563 )
| ~ ( s_t @ SV874 @ SV908 @ SV398 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2408]) ).
thf(2558,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
| ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) )
| ~ ! [SY3064: $i,SY3065: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3064 @ SY3065 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SY3065 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2559,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3066: $i,SY3067: $i] :
( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3066 @ SY3067 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3066 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SY3067 )
| ~ ( s_e @ SV399 @ SV689 @ SV828 @ SY3067 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2410]) ).
thf(2560,plain,
( ( ( reflect @ sK1_Xa @ sK2_SY900 @ sK3_SY903 )
= sK4_SY905 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2411]) ).
thf(2561,plain,
( ( sK1_Xa != sK2_SY900 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2412]) ).
thf(2562,plain,
! [SV923: $i,SV909: $i,SV200: $i] :
( ( ( s_col @ SV200 @ SV909 @ SV923 )
| ( SV200 = SV909 )
| ( perp @ SV200 @ SV909 @ ( erect21a @ SV200 @ SV909 @ SV923 ) @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2563,plain,
! [SV924: $i,SV910: $i,SV200: $i] :
( ( ( s_col @ SV200 @ SV910 @ SV924 )
| ( SV200 = SV910 )
| ( s_col @ SV200 @ SV910 @ ( erectAux21a @ SV200 @ SV910 @ SV924 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2564,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
| ~ ! [SY2988: $i,SY2989: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2988 @ SY2989 )
| ( s_m @ SY2989 @ SY2988 @ SV772 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2565,plain,
! [SV925: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY3121: $i] :
( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SY3121 )
| ~ ( s_t @ SV201 @ SV690 @ SY3121 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SY3121 @ SV690 @ SV772 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SY3121 @ SV925 @ SV772 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2566,plain,
! [SV832: $i,SV774: $i,SV202: $i] :
( ( ( s_t @ SV202 @ SV774 @ SV832 )
= $false )
| ( ( sameside @ SV202 @ SV774 @ SV832 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2420]) ).
thf(2567,plain,
! [SV876: $i,SV566: $i,SV401: $i,SV203: $i] :
( ( ( perp @ SV203 @ SV401 @ SV566 @ SV876 )
= $false )
| ( ( perpAt @ SV203 @ SV401 @ ( il @ SV203 @ SV401 @ SV566 @ SV876 ) @ SV566 @ SV876 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2421]) ).
thf(2568,plain,
! [SV877: $i,SV566: $i,SV926: $i,SV401: $i,SV203: $i] :
( ( ( ~ ( perpAt @ SV203 @ SV401 @ SV926 @ SV566 @ SV877 ) )
= $true )
| ( ( perp @ SV203 @ SV401 @ SV566 @ SV877 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2422]) ).
thf(2569,plain,
! [SV878: $i,SV833: $i,SV402: $i,SV204: $i] :
( ( ( SV204 = SV402 )
= $true )
| ( ( SV833 = SV878 )
= $true )
| ( ( sameside @ ( insert @ SV833 @ SV878 @ SV402 @ SV204 ) @ SV402 @ SV204 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2423]) ).
thf(2570,plain,
! [SV879: $i,SV834: $i,SV402: $i,SV204: $i] :
( ( ( SV204 = SV402 )
= $true )
| ( ( SV834 = SV879 )
= $true )
| ( ( s_e @ SV402 @ ( insert @ SV834 @ SV879 @ SV402 @ SV204 ) @ SV834 @ SV879 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2424]) ).
thf(2571,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
| ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) )
| ~ ! [SY3080: $i,SY3081: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3080 @ SY3081 )
| ( s_e @ SV567 @ SV691 @ SY3080 @ SY3081 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2572,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3082: $i,SY3083: $i] :
( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3082 @ SY3083 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SY3082 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SY3082 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SY3082 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SY3083 )
| ~ ( s_e @ SV567 @ SV691 @ SY3082 @ SY3083 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2426]) ).
thf(2573,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ~ ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) )
| ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2427]) ).
thf(2574,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ! [SY2870: $i,SY2871: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2870 @ SY2871 )
| ( s_e @ SV404 @ SV568 @ SY2870 @ SY2871 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2427]) ).
thf(2575,plain,
! [SV927: $i,SV911: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV911 @ SV927 )
| ~ ( s_e @ SV207 @ SV404 @ SV692 @ SV911 )
| ~ ( s_e @ SV207 @ SV568 @ SV692 @ SV927 )
| ~ ( s_e @ SV404 @ SV568 @ SV911 @ SV927 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2428]) ).
thf(2576,plain,
! [SV569: $i,SV405: $i,SV778: $i,SV693: $i,SV209: $i,SV2: $i] :
( ( ( s_e @ SV2 @ SV209 @ SV693 @ SV778 )
= $false )
| ( ( s_e @ SV2 @ SV209 @ SV405 @ SV569 )
= $false )
| ( ( s_e @ SV405 @ SV569 @ SV693 @ SV778 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2429]) ).
thf(2577,plain,
! [SV880: $i,SV838: $i,SV779: $i,SV694: $i,SV571: $i,SV406: $i,SV211: $i,SV4: $i] :
( ( ( SV4 = SV211 )
= $true )
| ( ( ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
| ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
| ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 )
| ~ ( s_t @ SV4 @ SV211 @ SV694 )
| ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2430]) ).
thf(2578,plain,
! [SV215: $i,SV8: $i,SV780: $i,SV695: $i,SV573: $i,SV408: $i] :
( ( ( s_e @ SV408 @ SV573 @ SV695 @ SV780 )
= $false )
| ( ( s_e @ SV8 @ SV215 @ SV408 @ SV573 )
= $false )
| ( ( s_e @ SV8 @ SV215 @ SV695 @ SV780 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2431]) ).
thf(2579,plain,
! [SV781: $i,SV696: $i,SV576: $i,SV411: $i,SV219: $i,SV12: $i] :
( ( ( ~ ( s_t @ SV12 @ SV219 @ SV411 ) )
= $true )
| ( ( ~ ( s_t @ SV576 @ SV696 @ SV781 ) )
= $true )
| ( ( ~ ( s_e @ SV12 @ SV219 @ SV576 @ SV696 ) )
= $true )
| ( ( ~ ( s_e @ SV219 @ SV411 @ SV696 @ SV781 ) )
= $true )
| ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2432]) ).
thf(2580,plain,
! [SV13: $i,SV697: $i,SV577: $i,SV412: $i,SV220: $i] :
( ( ( s_e @ SV220 @ SV412 @ SV577 @ SV697 )
= $false )
| ( ( SV13 = SV220 )
= $true )
| ( ( s_t @ SV13 @ SV220 @ SV412 )
= $false )
| ( ( SV412
= ( ext @ SV13 @ SV220 @ SV577 @ SV697 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2433]) ).
thf(2581,plain,
! [SV782: $i,SV698: $i,SV580: $i,SV414: $i,SV223: $i,SV16: $i] :
( ( ( ~ ( s_t @ SV16 @ SV223 @ SV414 ) )
= $true )
| ( ( ~ ( s_t @ SV580 @ SV698 @ SV782 ) )
= $true )
| ( ( ~ ( s_e @ SV16 @ SV223 @ SV698 @ SV782 ) )
= $true )
| ( ( ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) )
= $true )
| ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2434]) ).
thf(2582,plain,
! [SV881: $i,SV839: $i,SV783: $i,SV699: $i,SV588: $i,SV422: $i,SV236: $i,SV29: $i] :
( ( ( s_ifs @ SV29 @ SV236 @ SV422 @ SV588 @ SV699 @ SV783 @ SV839 @ SV881 )
= $false )
| ( ( s_e @ SV236 @ SV588 @ SV783 @ SV881 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2437]) ).
thf(2583,plain,
! [SV840: $i,SV700: $i,SV589: $i,SV423: $i,SV237: $i,SV30: $i] :
( ( ( ~ ( s_t @ SV30 @ SV237 @ SV423 ) )
= $true )
| ( ( ~ ( s_t @ SV589 @ SV700 @ SV840 ) )
= $true )
| ( ( ~ ( s_e @ SV30 @ SV423 @ SV589 @ SV840 ) )
= $true )
| ( ( ~ ( s_e @ SV237 @ SV423 @ SV700 @ SV840 ) )
= $true )
| ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2438]) ).
thf(2584,plain,
! [SV784: $i,SV701: $i,SV590: $i,SV424: $i,SV238: $i,SV31: $i] :
( ( ( s_e3 @ SV31 @ SV238 @ SV424 @ SV590 @ SV701 @ SV784 )
= $false )
| ( ( s_t @ SV31 @ SV238 @ SV424 )
= $false )
| ( ( s_t @ SV590 @ SV701 @ SV784 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2439]) ).
thf(2585,plain,
! [SV785: $i,SV702: $i,SV591: $i,SV430: $i,SV246: $i,SV39: $i] :
( ( ( s_e3 @ SV39 @ SV246 @ SV430 @ SV591 @ SV702 @ SV785 )
= $false )
| ( ( s_col @ SV39 @ SV246 @ SV430 )
= $false )
| ( ( s_col @ SV591 @ SV702 @ SV785 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2586,plain,
! [SV882: $i,SV841: $i,SV786: $i,SV704: $i,SV593: $i,SV432: $i,SV248: $i,SV41: $i] :
( ( ( ~ ( s_fs @ SV41 @ SV248 @ SV432 @ SV593 @ SV704 @ SV786 @ SV841 @ SV882 ) )
= $true )
| ( ( SV41 = SV248 )
= $true )
| ( ( s_e @ SV432 @ SV593 @ SV841 @ SV882 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2587,plain,
! [SV705: $i,SV594: $i,SV433: $i,SV249: $i,SV42: $i] :
( ( ( s_col @ SV42 @ SV249 @ SV433 )
= $false )
| ( ( SV42 = SV249 )
= $true )
| ( ( ~ ( s_e @ SV42 @ SV594 @ SV42 @ SV705 ) )
= $true )
| ( ( ~ ( s_e @ SV249 @ SV594 @ SV249 @ SV705 ) )
= $true )
| ( ( s_e @ SV433 @ SV594 @ SV433 @ SV705 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2588,plain,
! [SV250: $i,SV595: $i,SV434: $i,SV43: $i] :
( ( ( s_e @ SV43 @ SV434 @ SV43 @ SV595 )
= $false )
| ( ( SV43 = SV250 )
= $true )
| ( ( s_col @ SV43 @ SV250 @ SV434 )
= $false )
| ( ( ~ ( s_e @ SV250 @ SV434 @ SV250 @ SV595 ) )
= $true )
| ( ( SV434 = SV595 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2589,plain,
! [SV44: $i,SV596: $i,SV251: $i,SV435: $i] :
( ( ( s_e @ SV435 @ SV251 @ SV435 @ SV596 )
= $false )
| ( ( s_t @ SV44 @ SV251 @ SV435 )
= $false )
| ( ( s_e @ SV44 @ SV251 @ SV44 @ SV596 )
= $false )
| ( ( SV251 = SV596 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2445]) ).
thf(2590,plain,
! [SV436: $i,SV597: $i,SV252: $i,SV45: $i] :
( ( ( s_t @ SV45 @ SV252 @ SV597 )
= $false )
| ( ( SV45 = SV252 )
= $true )
| ( ( s_t @ SV45 @ SV252 @ SV436 )
= $false )
| ( ( s_t @ SV45 @ SV436 @ SV597 )
= $true )
| ( ( s_t @ SV45 @ SV597 @ SV436 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2591,plain,
! [SV437: $i,SV598: $i,SV253: $i,SV46: $i] :
( ( ( s_t @ SV46 @ SV253 @ SV598 )
= $false )
| ( ( SV46 = SV253 )
= $true )
| ( ( s_t @ SV46 @ SV253 @ SV437 )
= $false )
| ( ( s_t @ SV253 @ SV437 @ SV598 )
= $true )
| ( ( s_t @ SV253 @ SV598 @ SV437 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2447]) ).
thf(2592,plain,
! [SV883: $i,SV842: $i,SV787: $i,SV707: $i,SV601: $i,SV440: $i,SV256: $i,SV49: $i] :
( ( ( ~ ( le @ SV49 @ SV256 @ SV440 @ SV601 )
| ~ ( s_e @ SV49 @ SV256 @ SV707 @ SV787 ) )
= $true )
| ( ( ~ ( s_e @ SV440 @ SV601 @ SV842 @ SV883 ) )
= $true )
| ( ( le @ SV707 @ SV787 @ SV842 @ SV883 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2450]) ).
thf(2593,plain,
! [SV258: $i,SV51: $i,SV788: $i,SV708: $i,SV602: $i,SV441: $i] :
( ( ( le @ SV441 @ SV602 @ SV708 @ SV788 )
= $false )
| ( ( le @ SV51 @ SV258 @ SV441 @ SV602 )
= $false )
| ( ( le @ SV51 @ SV258 @ SV708 @ SV788 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2451]) ).
thf(2594,plain,
! [SV449: $i,SV709: $i,SV266: $i,SV59: $i] :
( ( ( s_t @ SV59 @ SV266 @ SV709 )
= $false )
| ( ( SV709 = SV266 )
= $true )
| ( ( SV449 = SV266 )
= $true )
| ( ( SV59 = SV266 )
= $true )
| ( ( ~ ( s_t @ SV449 @ SV266 @ SV709 ) )
= $true )
| ( ( sameside @ SV59 @ SV266 @ SV449 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2453]) ).
thf(2595,plain,
! [SV450: $i,SV710: $i,SV267: $i,SV60: $i] :
( ( ( s_t @ SV60 @ SV267 @ SV710 )
= $false )
| ( ( SV710 = SV267 )
= $true )
| ( ( SV450 = SV267 )
= $true )
| ( ( SV60 = SV267 )
= $true )
| ( ( s_t @ SV450 @ SV267 @ SV710 )
= $true )
| ( ( ~ ( sameside @ SV60 @ SV267 @ SV450 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2596,plain,
! [SV451: $i,SV605: $i,SV268: $i,SV61: $i] :
( ( ( s_t @ SV61 @ SV268 @ SV605 )
= $false )
| ( ( SV605 = SV268 )
= $true )
| ( ( SV451 = SV268 )
= $true )
| ( ( sameside @ SV61 @ SV268 @ SV451 )
= $true )
| ( ( SV61 = SV268 )
= $true )
| ( ( ~ ( s_t @ SV451 @ SV268 @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2597,plain,
! [SV789: $i,SV711: $i,SV607: $i,SV455: $i,SV273: $i,SV66: $i] :
( ( ( ( SV66 = SV273 )
| ( SV455 = SV607 )
| ~ ( sameside @ SV711 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 ) )
= $true )
| ( ( ~ ( sameside @ SV789 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2456]) ).
thf(2598,plain,
! [SV608: $i,SV458: $i,SV276: $i,SV69: $i] :
( ( ( SV69 = SV276 )
= $true )
| ( ( SV69 = SV458 )
= $true )
| ( ( ~ ( s_t @ SV276 @ SV69 @ SV458 ) )
= $true )
| ( ( ~ ( s_col @ SV608 @ SV69 @ SV276 ) )
= $true )
| ( ( SV608 = SV69 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV276 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2457]) ).
thf(2599,plain,
! [SV459: $i,SV277: $i,SV70: $i,SV609: $i] :
( ( ( sameside @ SV609 @ SV70 @ SV277 )
= $false )
| ( ( SV70 = SV277 )
= $true )
| ( ( SV70 = SV459 )
= $true )
| ( ( s_t @ SV277 @ SV70 @ SV459 )
= $false )
| ( ( s_col @ SV609 @ SV70 @ SV277 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2600,plain,
! [SV278: $i,SV460: $i,SV71: $i,SV610: $i] :
( ( ( sameside @ SV610 @ SV71 @ SV460 )
= $false )
| ( ( SV71 = SV278 )
= $true )
| ( ( SV71 = SV460 )
= $true )
| ( ( s_t @ SV278 @ SV71 @ SV460 )
= $false )
| ( ( s_col @ SV610 @ SV71 @ SV278 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2601,plain,
! [SV611: $i,SV461: $i,SV72: $i,SV279: $i] :
( ( ( s_t @ SV279 @ SV72 @ SV461 )
= $false )
| ( ( SV72 = SV461 )
= $true )
| ( ( SV72 = SV279 )
= $true )
| ( ( SV611 = SV72 )
= $false )
| ( ( s_col @ SV611 @ SV72 @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2602,plain,
! [SV462: $i,SV280: $i,SV73: $i,SV612: $i] :
( ( ( s_t @ SV612 @ SV73 @ SV280 )
= $false )
| ( ( SV73 = SV280 )
= $true )
| ( ( s_t @ SV462 @ SV73 @ SV280 )
= $false )
| ( ( s_t @ SV612 @ SV462 @ SV280 )
= $true )
| ( ( s_t @ SV462 @ SV612 @ SV280 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2461]) ).
thf(2603,plain,
! [SV463: $i,SV613: $i,SV281: $i,SV74: $i] :
( ( ( s_col @ SV74 @ SV281 @ SV613 )
= $false )
| ( ( SV74 = SV281 )
= $true )
| ( ( SV463 = SV74 )
= $true )
| ( ( s_col @ SV74 @ SV281 @ SV463 )
= $false )
| ( ( s_col @ SV74 @ SV463 @ SV613 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2604,plain,
! [SV712: $i,SV614: $i,SV465: $i,SV284: $i,SV77: $i] :
( ( ( SV77 = SV284 )
= $true )
| ( ( SV465 = SV614 )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV77 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV284 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV712 ) )
= $true )
| ( ( s_col @ SV77 @ SV284 @ SV712 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2463]) ).
thf(2605,plain,
! [SV843: $i,SV615: $i,SV466: $i,SV285: $i,SV78: $i,SV790: $i,SV713: $i] :
( ( ( SV713 = SV790 )
= $true )
| ( ( ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 )
| ~ ( s_col @ SV466 @ SV615 @ SV713 )
| ~ ( s_col @ SV78 @ SV285 @ SV790 )
| ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2464]) ).
thf(2606,plain,
! [SV791: $i,SV714: $i,SV616: $i,SV467: $i,SV287: $i,SV80: $i] :
( ( ( ~ ( sameside @ SV80 @ SV287 @ SV467 ) )
= $true )
| ( ( ~ ( sameside @ SV616 @ SV714 @ SV791 ) )
= $true )
| ( ( ~ ( s_e @ SV287 @ SV80 @ SV714 @ SV616 ) )
= $true )
| ( ( ~ ( s_e @ SV287 @ SV467 @ SV714 @ SV791 ) )
= $true )
| ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2465]) ).
thf(2607,plain,
! [SV716: $i,SV481: $i,SV101: $i,SV623: $i,SV308: $i] :
( ( ( ( SV308 = SV623 )
| ( s_col @ SV101 @ SV308 @ SV481 ) )
= $true )
| ( ( ~ ( s_e @ SV101 @ SV308 @ SV481 @ SV623 ) )
= $true )
| ( ( ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 ) )
= $true )
| ( ( ~ ( s_col @ SV101 @ SV716 @ SV481 ) )
= $true )
| ( ( ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2466]) ).
thf(2608,plain,
! [SV845: $i,SV794: $i,SV717: $i,SV624: $i,SV482: $i,SV309: $i,SV102: $i] :
( ( ( s_kf @ SV102 @ SV309 @ SV482 @ SV624 @ SV717 @ SV794 @ SV845 )
= $false )
| ( ( s_t @ SV309 @ SV624 @ SV794 )
= $true )
| ( ( ~ ( le @ SV624 @ SV102 @ SV624 @ SV845 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2609,plain,
! [SV846: $i,SV796: $i,SV719: $i,SV626: $i,SV484: $i,SV311: $i,SV104: $i] :
( ( ( ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SV719 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
| ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2469]) ).
thf(2610,plain,
! [SV317: $i,SV720: $i,SV489: $i,SV110: $i] :
( ( ( s_t @ SV110 @ SV489 @ SV720 )
= $false )
| ( ( s_r @ SV110 @ SV317 @ SV489 )
= $false )
| ( ( s_r @ SV720 @ SV317 @ SV489 )
= $false )
| ( ( SV317 = SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2611,plain,
! [SV797: $i,SV721: $i,SV628: $i,SV492: $i,SV321: $i,SV114: $i] :
( ( ( s_e3 @ SV114 @ SV321 @ SV492 @ SV628 @ SV721 @ SV797 )
= $false )
| ( ( s_r @ SV114 @ SV321 @ SV492 )
= $false )
| ( ( s_r @ SV628 @ SV721 @ SV797 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2612,plain,
! [SV631: $i,SV495: $i,SV324: $i,SV117: $i,SV847: $i,SV885: $i,SV723: $i] :
( ( ( SV723 = SV885 )
= $true )
| ( ( ( SV723 = SV847 )
| ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV847 )
| ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2473]) ).
thf(2613,plain,
! [SV633: $i,SV497: $i,SV724: $i,SV326: $i,SV119: $i] :
( ( ( s_col @ SV119 @ SV326 @ SV724 )
= $false )
| ( ( perp @ SV119 @ SV326 @ SV497 @ SV633 )
= $false )
| ( ( ~ ( s_col @ SV497 @ SV633 @ SV724 ) )
= $true )
| ( ( perpAt @ SV119 @ SV326 @ SV724 @ SV497 @ SV633 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2614,plain,
! [SV726: $i,SV636: $i,SV500: $i,SV329: $i,SV122: $i] :
( ( ( ( SV122 = SV329 )
| ~ ( s_col @ SV122 @ SV329 @ SV500 ) )
= $true )
| ( ( ~ ( s_col @ SV122 @ SV329 @ SV636 ) )
= $true )
| ( ( SV636 = SV500 )
= $true )
| ( ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV726 )
= $true )
| ( ( ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2477]) ).
thf(2615,plain,
! [SV727: $i,SV637: $i,SV501: $i,SV330: $i,SV123: $i] :
( ( ( s_col @ SV123 @ SV330 @ SV501 )
= $true )
| ( ( ~ ( s_col @ SV123 @ SV330 @ SV637 ) )
= $true )
| ( ( ~ ( s_col @ SV123 @ SV330 @ SV727 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true )
| ( ( SV637 = SV727 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2478]) ).
thf(2616,plain,
! [SV332: $i,SV639: $i,SV503: $i,SV125: $i] :
( ( ( s_m @ ( s @ SV125 @ SV503 ) @ SV639 @ ( s @ SV332 @ SV503 ) )
= $false )
| ( ( s_r @ SV125 @ SV332 @ SV503 )
= $false )
| ( ( SV332 = SV503 )
= $true )
| ( ( SV125 = SV639 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2617,plain,
! [SV728: $i,SV641: $i,SV505: $i,SV334: $i,SV127: $i] :
( ( ( SV127 = SV334 )
= $true )
| ( ( SV505 = SV641 )
= $true )
| ( ( ~ ( s_col @ SV127 @ SV334 @ SV505 ) )
= $true )
| ( ( ~ ( s_col @ SV127 @ SV334 @ SV641 ) )
= $true )
| ( ( ~ ( s_col @ SV505 @ SV641 @ SV728 ) )
= $true )
| ( ( s_col @ SV127 @ SV334 @ SV728 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2480]) ).
thf(2618,plain,
! [SV729: $i,SV642: $i,SV506: $i,SV335: $i,SV128: $i] :
( ( ( ~ ( le @ SV128 @ SV335 @ SV506 @ SV642 ) )
= $true )
| ( ( ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 ) )
= $true )
| ( ( ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 ) )
= $true )
| ( ( ~ ( s_t @ SV335 @ SV729 @ SV642 ) )
= $true )
| ( ( ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2481]) ).
thf(2619,plain,
! [SV337: $i,SV798: $i,SV507: $i,SV643: $i,SV730: $i,SV130: $i,SV848: $i] :
( ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 )
| ~ ( s_t @ SV130 @ SV730 @ SV643 )
| ~ ( s_t @ SV507 @ SV798 @ SV643 )
| ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2482]) ).
thf(2620,plain,
! [SV338: $i,SV799: $i,SV508: $i,SV644: $i,SV731: $i,SV131: $i,SV849: $i] :
( ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 )
| ~ ( s_t @ SV131 @ SV731 @ SV644 )
| ~ ( s_t @ SV508 @ SV799 @ SV644 )
| ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2483]) ).
thf(2621,plain,
! [SV800: $i,SV732: $i,SV645: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ( ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
| ~ ( s_col @ SV339 @ SV509 @ SV732 ) )
= $true )
| ( ( ~ ( s_t @ SV132 @ SV732 @ SV645 ) )
= $true )
| ( ( ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2484]) ).
thf(2622,plain,
! [SV850: $i,SV801: $i,SV733: $i,SV647: $i,SV511: $i,SV341: $i,SV134: $i] :
( ( ( SV134 = SV341 )
= $true )
| ( ( ( SV511 = SV647 )
| ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SV647 ) )
= $true )
| ( ( ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 ) )
= $true )
| ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2486]) ).
thf(2623,plain,
! [SV802: $i,SV734: $i,SV342: $i,SV135: $i,SV648: $i,SV512: $i] :
( ( ( SV512 = SV648 )
= $true )
| ( ( ~ ( s_col @ SV135 @ SV342 @ SV512 )
| ~ ( s_col @ SV135 @ SV342 @ SV648 ) )
= $true )
| ( ( SV135 = SV342 )
= $true )
| ( ( ~ ( perp @ SV512 @ SV648 @ SV734 @ SV802 ) )
= $true )
| ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2487]) ).
thf(2624,plain,
! [SV649: $i,SV136: $i,SV513: $i,SV343: $i] :
( ( ( SV343 = SV513 )
= $true )
| ( ( ( SV136 = SV343 )
| ( SV136 = SV513 ) )
= $true )
| ( ( SV649 = SV513 )
= $true )
| ( ( SV136 = SV649 )
= $true )
| ( ( ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 ) )
= $true )
| ( ( ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2488]) ).
thf(2625,plain,
! [SV803: $i,SV735: $i,SV345: $i,SV138: $i,SV651: $i,SV515: $i] :
( ( ( SV515 = SV651 )
= $true )
| ( ( ~ ( s_col @ SV138 @ SV345 @ SV515 )
| ~ ( s_col @ SV138 @ SV345 @ SV651 ) )
= $true )
| ( ( SV138 = SV345 )
= $true )
| ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
= $true )
| ( ( ~ ( perp @ SV138 @ SV345 @ SV735 @ SV803 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2489]) ).
thf(2626,plain,
! [SV736: $i,SV652: $i,SV516: $i,SV346: $i,SV139: $i] :
( ( ( s_col @ SV139 @ SV346 @ SV516 )
= $false )
| ( ( SV139 = SV346 )
= $true )
| ( ( SV139 = SV516 )
= $true )
| ( ( ~ ( samesideline @ SV652 @ SV736 @ SV139 @ SV346 ) )
= $true )
| ( ( samesideline @ SV652 @ SV736 @ SV139 @ SV516 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2490]) ).
thf(2627,plain,
! [SV851: $i,SV804: $i,SV737: $i,SV655: $i,SV519: $i,SV349: $i,SV142: $i] :
( ( ( ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV737 )
| ~ ( s_m @ SV142 @ SV737 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV804 ) )
= $true )
| ( ( ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2491]) ).
thf(2628,plain,
! [SV852: $i,SV805: $i,SV738: $i,SV656: $i,SV520: $i,SV350: $i,SV143: $i] :
( ( ( ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV738 )
| ~ ( s_m @ SV143 @ SV738 @ SV656 ) )
= $true )
| ( ( ~ ( s_col @ SV350 @ SV520 @ SV805 ) )
= $true )
| ( ( ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2492]) ).
thf(2629,plain,
! [SV886: $i,SV853: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i,SV739: $i,SV807: $i] :
( ( ( SV807 = SV739 )
= $true )
| ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
| ~ ( s_m @ SV807 @ SV853 @ SV739 )
| ~ ( sameside @ SV886 @ SV807 @ SV145 )
| ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2493]) ).
thf(2630,plain,
! [SV854: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i,SV887: $i,SV740: $i,SV808: $i] :
( ( ( SV808 = SV740 )
= $true )
| ( ( ( sameside @ SV887 @ SV808 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
| ~ ( s_m @ SV808 @ SV854 @ SV740 )
| ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2494]) ).
thf(2631,plain,
! [SV888: $i,SV855: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i,SV741: $i,SV809: $i] :
( ( ( SV809 != SV741 )
= $true )
| ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
| ~ ( s_m @ SV809 @ SV855 @ SV741 )
| ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2495]) ).
thf(2632,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i] :
( ( ( ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
| ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2496]) ).
thf(2633,plain,
! [SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV149: $i,SV912: $i,SV526: $i,SV356: $i,SV890: $i] :
( ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true )
| ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
| ~ ( s_m @ SV811 @ SV857 @ SV743 )
| ~ ( sameside @ SV890 @ SV811 @ SV149 )
| ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2497]) ).
thf(2634,plain,
! [SV812: $i,SV744: $i,SV662: $i,SV527: $i,SV357: $i,SV150: $i] :
( ( ( opposite @ SV150 @ SV357 @ SV527 @ SV662 )
= $false )
| ( ( ~ ( s_col @ SV357 @ SV527 @ SV744 ) )
= $true )
| ( ( ~ ( sameside @ SV150 @ SV744 @ SV812 ) )
= $true )
| ( ( opposite @ SV812 @ SV357 @ SV527 @ SV662 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2498]) ).
thf(2635,plain,
! [SV530: $i,SV360: $i,SV153: $i,SV746: $i,SV665: $i] :
( ( ( samesideline @ SV665 @ SV746 @ SV153 @ SV360 )
= $false )
| ( ( SV153 = SV360 )
= $true )
| ( ( samesideline @ SV530 @ SV665 @ SV153 @ SV360 )
= $false )
| ( ( samesideline @ SV530 @ SV746 @ SV153 @ SV360 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2500]) ).
thf(2636,plain,
! [SV362: $i,SV155: $i,SV813: $i,SV667: $i,SV532: $i] :
( ( ( s_m @ SV532 @ SV667 @ SV813 )
= $false )
| ( ( SV155 = SV362 )
= $true )
| ( ( ~ ( s_col @ SV155 @ SV362 @ SV532 ) )
= $true )
| ( ( ~ ( s_col @ SV155 @ SV362 @ SV813 ) )
= $true )
| ( ( s_col @ SV155 @ SV362 @ SV667 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2501]) ).
thf(2637,plain,
! [SV156: $i,SV363: $i,SV533: $i,SV747: $i,SV668: $i] :
( ( ( samesideline @ SV668 @ SV747 @ SV533 @ SV363 )
= $false )
| ( ( SV156 = SV363 )
= $true )
| ( ( s_t @ SV363 @ SV156 @ SV533 )
= $false )
| ( ( samesideline @ SV668 @ SV747 @ SV156 @ SV363 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2502]) ).
thf(2638,plain,
! [SV749: $i,SV671: $i,SV536: $i,SV366: $i,SV159: $i] :
( ( ( perpAt @ SV159 @ SV366 @ SV536 @ SV671 @ SV536 )
= $false )
| ( ( SV159 = SV366 )
= $true )
| ( ( ~ ( perpAt @ SV159 @ SV366 @ SV536 @ SV749 @ SV536 ) )
= $true )
| ( ( SV671 = SV536 )
= $true )
| ( ( s_col @ SV536 @ SV671 @ SV749 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2504]) ).
thf(2639,plain,
! [SV814: $i,SV537: $i,SV367: $i,SV160: $i] :
( ( ( SV160 = SV367 )
= $true )
| ( ( s_col @ SV160 @ SV367 @ SV537 )
= $true )
| ( ( s_col @ SV160 @ SV367 @ SV814 )
= $true )
| ( ( samesideline @ SV537 @ SV814 @ SV160 @ SV367 )
= $true )
| ( ( opposite @ SV537 @ SV160 @ SV367 @ SV814 )
= $true )
| ( ( SV160
= ( foot @ SV160 @ SV367 @ SV537 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2505]) ).
thf(2640,plain,
! [SV752: $i,SV674: $i,SV541: $i,SV371: $i,SV164: $i] :
( ( ( SV164 = SV371 )
= $true )
| ( ( ~ ( s_col @ SV164 @ SV371 @ SV541 ) )
= $true )
| ( ( ~ ( s_col @ SV674 @ SV752 @ SV541 ) )
= $true )
| ( ( ~ ( sameside @ SV674 @ SV541 @ SV752 ) )
= $true )
| ( ( s_col @ SV164 @ SV371 @ SV674 )
= $true )
| ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2508]) ).
thf(2641,plain,
! [SV548: $i,SV680: $i,SV380: $i,SV173: $i] :
( ( ( s_e @ SV173 @ SV380 @ SV680 @ SV380 )
= $false )
| ( ( s_r @ SV173 @ SV380 @ SV548 )
= $false )
| ( ( s_r @ SV680 @ SV380 @ SV548 )
= $false )
| ( ( s_e @ SV173 @ SV548 @ SV680 @ SV548 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2509]) ).
thf(2642,plain,
! [SV755: $i,SV681: $i,SV549: $i,SV381: $i,SV174: $i] :
( ( ( ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SV681 @ SV381 @ SV755 )
| ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 ) )
= $true )
| ( ( ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
= $true )
| ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2510]) ).
thf(2643,plain,
! [SV756: $i,SV682: $i,SV550: $i,SV382: $i,SV175: $i] :
( ( ( s_r @ SV175 @ SV382 @ SV550 )
= $false )
| ( ( ~ ( s_r @ SV682 @ SV382 @ SV756 ) )
= $true )
| ( ( ~ ( s_e @ SV175 @ SV382 @ SV682 @ SV382 ) )
= $true )
| ( ( ~ ( s_e @ SV382 @ SV550 @ SV382 @ SV756 ) )
= $true )
| ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2511]) ).
thf(2644,plain,
! [SV815: $i,SV757: $i,SV683: $i,SV551: $i,SV383: $i,SV176: $i] :
( ( ( ~ ( s_r @ SV176 @ SV383 @ SV551 ) )
= $true )
| ( ( ~ ( s_r @ SV683 @ SV757 @ SV815 ) )
= $true )
| ( ( ~ ( s_e @ SV176 @ SV383 @ SV683 @ SV757 ) )
= $true )
| ( ( ~ ( s_e @ SV383 @ SV551 @ SV757 @ SV815 ) )
= $true )
| ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2512]) ).
thf(2645,plain,
! [SV860: $i,SV818: $i,SV386: $i,SV179: $i] :
( ( ( SV179 = SV386 )
= $true )
| ( ( ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV818 @ SV860 ) ) )
= $true )
| ( ( ~ ( perp @ SV179 @ SV386 @ SV818 @ SV860 ) )
= $true )
| ( ( SV860
= ( reflect @ SV179 @ SV386 @ SV818 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2513]) ).
thf(2646,plain,
! [SV386: $i,SV179: $i,SV861: $i,SV819: $i] :
( ( ( SV819 = SV861 )
= $false )
| ( ( ( SV179 = SV386 )
| ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV819 @ SV861 ) ) )
= $true )
| ( ( SV861
= ( reflect @ SV179 @ SV386 @ SV819 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2514]) ).
thf(2647,plain,
! [SV928: $i,SV891: $i,SV180: $i] :
( ( ( perp @ SV180 @ SV891 @ ( erect @ SV180 @ SV891 @ SV928 ) @ SV180 )
= $true )
| ( ( SV180 = SV891 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2515]) ).
thf(2648,plain,
! [SV929: $i,SV892: $i,SV180: $i] :
( ( ( s_col @ SV180 @ SV892 @ ( erectAux @ SV180 @ SV892 @ SV929 ) )
= $true )
| ( ( SV180 = SV892 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2649,plain,
! [SV930: $i,SV913: $i,SV387: $i,SV181: $i] :
( ( ~ ( le @ SV181 @ SV387 @ SV913 @ SV930 )
| ( s_t @ SV181 @ SV387 @ ( ins @ SV913 @ SV930 @ SV181 @ SV387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2517]) ).
thf(2650,plain,
! [SV931: $i,SV914: $i,SV387: $i,SV181: $i] :
( ( ~ ( le @ SV181 @ SV387 @ SV914 @ SV931 )
| ( s_e @ SV181 @ ( ins @ SV914 @ SV931 @ SV181 @ SV387 ) @ SV914 @ SV931 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2518]) ).
thf(2651,plain,
! [SV915: $i,SV893: $i,SV182: $i] :
( ( ( ~ ( s_m @ SV182 @ SV893 @ SV915 ) )
= $true )
| ( ( s_t @ SV182 @ SV893 @ SV915 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2520]) ).
thf(2652,plain,
! [SV916: $i,SV894: $i,SV182: $i] :
( ( ( ~ ( s_m @ SV182 @ SV894 @ SV916 ) )
= $true )
| ( ( s_e @ SV894 @ SV182 @ SV894 @ SV916 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2521]) ).
thf(2653,plain,
! [SV821: $i,SV182: $i,SV759: $i] :
( ( ( s_e @ SV759 @ SV182 @ SV759 @ SV821 )
= $false )
| ( ( s_t @ SV182 @ SV759 @ SV821 )
= $false )
| ( ( s_m @ SV182 @ SV759 @ SV821 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2522]) ).
thf(2654,plain,
! [SV183: $i] :
( ( ~ ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2523]) ).
thf(2655,plain,
! [SV183: $i] :
( ( ! [SY1515: $i,SY1516: $i] :
( ( s_t @ SY1515 @ SY1516 @ SV183 )
| ~ ( sameside @ SV183 @ SY1515 @ SY1516 )
| ( s_t @ SY1515 @ SV183 @ SY1516 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2524]) ).
thf(2656,plain,
! [SV917: $i,SV895: $i,SV183: $i] :
( ( ( sameside @ SV183 @ SV895 @ SV917 )
= $true )
| ( ( ( xb = SV895 )
| ~ ( s_t @ SV895 @ SV183 @ SV917 )
| ( SV183 = SV895 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2525]) ).
thf(2657,plain,
! [SV183: $i,SV822: $i,SV760: $i] :
( ( ( s_t @ SV760 @ SV822 @ SV183 )
= $false )
| ( ( SV183 = SV760 )
= $true )
| ( ( SV822 = SV760 )
= $true )
| ( ( sameside @ SV183 @ SV760 @ SV822 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2526]) ).
thf(2658,plain,
! [SV184: $i] :
( ( ~ ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2527]) ).
thf(2659,plain,
! [SV184: $i] :
( ( ! [SY1525: $i,SY1526: $i] :
( ~ ( sameside @ SV184 @ SY1525 @ SY1526 )
| ( ( c63 @ SV184 @ SY1525 @ SY1526 )
!= SY1525 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2528]) ).
thf(2660,plain,
! [SV918: $i,SV896: $i,SV184: $i] :
( ( ( ~ ( sameside @ SV184 @ SV896 @ SV918 ) )
= $true )
| ( ( s_t @ SV184 @ SV896 @ ( c63 @ SV184 @ SV896 @ SV918 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2529]) ).
thf(2661,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2530]) ).
thf(2662,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV388 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2530]) ).
thf(2663,plain,
! [SV762: $i,SV185: $i,SV388: $i,SV685: $i,SV553: $i] :
( ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( ( s_col @ SV553 @ SV685 @ SV185 )
| ! [SY2942: $i,SY2943: $i] :
( ( SV388 = SY2943 )
| ( SV185 = SV762 )
| ( SY2942 = SY2943 )
| ( SY2942 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SY2942 )
| ~ ( s_t @ SV388 @ SY2943 @ SY2942 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SY2943 ) ) )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2531]) ).
thf(2664,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
| ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2532]) ).
thf(2665,plain,
! [SV932: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SV932 )
| ( s_t @ SV554 @ ( il @ SV554 @ SV932 @ SV186 @ SV389 ) @ SV932 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2533]) ).
thf(2666,plain,
! [SV897: $i,SV390: $i,SV187: $i,SV555: $i,SV865: $i] :
( ( ( ( SV865 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV865 ) )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV897 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2667,plain,
! [SV390: $i,SV187: $i,SV866: $i,SV555: $i,SV898: $i] :
( ( ( s_r @ SV898 @ SV555 @ SV866 )
= $true )
| ( ( ( SV866 = SV555 )
| ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV866 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV898 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2536]) ).
thf(2668,plain,
! [SV189: $i] :
( ( ! [SY1555: $i,SY1556: $i] :
( ( s_t @ SY1556 @ SV189 @ SY1555 )
| ( s_t @ SY1555 @ SY1556 @ SV189 )
| ~ ( s_col @ SV189 @ SY1555 @ SY1556 )
| ( s_t @ SV189 @ SY1555 @ SY1556 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2537]) ).
thf(2669,plain,
! [SV189: $i] :
( ( ! [SY1557: $i,SY1558: $i] :
( ( s_col @ SV189 @ SY1557 @ SY1558 )
| ~ ( s_t @ SV189 @ SY1557 @ SY1558 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2538]) ).
thf(2670,plain,
! [SV919: $i,SV899: $i,SV189: $i] :
( ( ( s_col @ SV189 @ SV899 @ SV919 )
= $true )
| ( ( ~ ( s_t @ SV899 @ SV919 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2539]) ).
thf(2671,plain,
! [SV900: $i,SV867: $i,SV556: $i,SV391: $i,SV190: $i] :
( ( ( ~ ( s_t @ SV190 @ SV391 @ SV556 ) )
= $true )
| ( ( ~ ( s_e @ SV190 @ SV556 @ SV867 @ SV900 ) )
= $true )
| ( ( s_t @ SV867 @ ( insert @ SV190 @ SV391 @ SV867 @ SV900 ) @ SV900 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2540]) ).
thf(2672,plain,
! [SV901: $i,SV868: $i,SV556: $i,SV391: $i,SV190: $i] :
( ( ( ~ ( s_t @ SV190 @ SV391 @ SV556 ) )
= $true )
| ( ( ~ ( s_e @ SV190 @ SV556 @ SV868 @ SV901 ) )
= $true )
| ( ( s_e3 @ SV190 @ SV391 @ SV556 @ SV868 @ ( insert @ SV190 @ SV391 @ SV868 @ SV901 ) @ SV901 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2541]) ).
thf(2673,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
| ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) )
| ~ ! [SY3054: $i,SY3055: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3054 @ SY3055 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SY3055 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2542]) ).
thf(2674,plain,
! [SV933: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3122: $i] :
( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SY3122 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SY3122 )
| ~ ( s_e @ SV392 @ SV686 @ SV827 @ SY3122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2543]) ).
thf(2675,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2544]) ).
thf(2676,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ~ ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2544]) ).
thf(2677,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2545]) ).
thf(2678,plain,
! [SV902: $i,SV869: $i,SV559: $i,SV394: $i,SV193: $i] :
( ( ( ~ ( s_t @ SV193 @ SV394 @ SV559 ) )
= $true )
| ( ( ~ ( s_t @ SV869 @ SV902 @ SV559 ) )
= $true )
| ( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SV869 @ SV902 ) @ SV869 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2546]) ).
thf(2679,plain,
! [SV903: $i,SV870: $i,SV559: $i,SV394: $i,SV193: $i] :
( ( ( ~ ( s_t @ SV193 @ SV394 @ SV559 ) )
= $true )
| ( ( ~ ( s_t @ SV870 @ SV903 @ SV559 ) )
= $true )
| ( ( s_t @ SV903 @ ( ip @ SV193 @ SV394 @ SV559 @ SV870 @ SV903 ) @ SV193 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2547]) ).
thf(2680,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
| ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2548]) ).
thf(2681,plain,
! [SV934: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY3123: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV934 @ SY3123 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SV934 @ SY3123 @ SV560 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2549]) ).
thf(2682,plain,
! [SV904: $i,SV871: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV871 @ SV904 )
= $false )
| ( ( s_r @ ( f813 @ SV194 @ SV395 @ SV871 @ SV904 @ SV560 ) @ SV560 @ ( g813 @ SV194 @ SV395 @ SV871 @ SV904 @ SV560 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2550]) ).
thf(2683,plain,
! [SV935: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ( le @ SV195 @ SV396 @ SV561 @ SV935 )
| ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SV935 ) @ SV935 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2551]) ).
thf(2684,plain,
! [SV936: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ~ ( le @ SV195 @ SV396 @ SV561 @ SV936 )
| ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SV936 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2552]) ).
thf(2685,plain,
! [SV396: $i,SV195: $i,SV872: $i,SV920: $i,SV561: $i] :
( ( ( ~ ( s_t @ SV561 @ SV920 @ SV872 ) )
= $true )
| ( ( ~ ( s_e @ SV195 @ SV396 @ SV561 @ SV920 ) )
= $true )
| ( ( le @ SV195 @ SV396 @ SV561 @ SV872 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2553]) ).
thf(2686,plain,
! [SV905: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i,SV921: $i] :
( ( ( s_t @ SV921 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV905 @ SV921 ) @ SV562 )
= $true )
| ( ( ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SV905 @ SV562 )
| ~ ( s_t @ SV196 @ SV921 @ SV688 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2554]) ).
thf(2687,plain,
! [SV922: $i,SV906: $i,SV688: $i,SV562: $i,SV196: $i,SV397: $i] :
( ( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV906 @ SV922 ) @ SV906 )
= $true )
| ( ( ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SV906 @ SV562 )
| ~ ( s_t @ SV196 @ SV922 @ SV688 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2555]) ).
thf(2688,plain,
! [SV907: $i,SV873: $i,SV563: $i,SV398: $i,SV197: $i] :
( ( ( ~ ( s_t @ SV197 @ SV398 @ SV563 ) )
= $true )
| ( ( ~ ( s_t @ SV873 @ SV907 @ SV398 ) )
= $true )
| ( ( s_t @ SV197 @ ( op @ SV907 @ SV873 @ SV563 @ SV398 @ SV197 ) @ SV873 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2556]) ).
thf(2689,plain,
! [SV908: $i,SV874: $i,SV563: $i,SV398: $i,SV197: $i] :
( ( ( ~ ( s_t @ SV197 @ SV398 @ SV563 ) )
= $true )
| ( ( ~ ( s_t @ SV874 @ SV908 @ SV398 ) )
= $true )
| ( ( s_t @ SV563 @ SV908 @ ( op @ SV908 @ SV874 @ SV563 @ SV398 @ SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2557]) ).
thf(2690,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
| ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) )
| ~ ! [SY3064: $i,SY3065: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3064 @ SY3065 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SY3065 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2558]) ).
thf(2691,plain,
! [SV937: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3124: $i] :
( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SY3124 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SY3124 )
| ~ ( s_e @ SV399 @ SV689 @ SV828 @ SY3124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2559]) ).
thf(2692,plain,
( ( sK1_Xa = sK2_SY900 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2693,plain,
! [SV923: $i,SV909: $i,SV200: $i] :
( ( ( s_col @ SV200 @ SV909 @ SV923 )
= $true )
| ( ( ( SV200 = SV909 )
| ( perp @ SV200 @ SV909 @ ( erect21a @ SV200 @ SV909 @ SV923 ) @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2562]) ).
thf(2694,plain,
! [SV924: $i,SV910: $i,SV200: $i] :
( ( ( s_col @ SV200 @ SV910 @ SV924 )
= $true )
| ( ( ( SV200 = SV910 )
| ( s_col @ SV200 @ SV910 @ ( erectAux21a @ SV200 @ SV910 @ SV924 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2563]) ).
thf(2695,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2696,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ! [SY2988: $i,SY2989: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2988 @ SY2989 )
| ( s_m @ SY2989 @ SY2988 @ SV772 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2564]) ).
thf(2697,plain,
! [SV938: $i,SV925: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
| ~ ( s_t @ SV201 @ SV690 @ SV938 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2565]) ).
thf(2698,plain,
! [SV877: $i,SV566: $i,SV926: $i,SV401: $i,SV203: $i] :
( ( ( perpAt @ SV203 @ SV401 @ SV926 @ SV566 @ SV877 )
= $false )
| ( ( perp @ SV203 @ SV401 @ SV566 @ SV877 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2568]) ).
thf(2699,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
| ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) )
| ~ ! [SY3080: $i,SY3081: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3080 @ SY3081 )
| ( s_e @ SV567 @ SV691 @ SY3080 @ SY3081 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2571]) ).
thf(2700,plain,
! [SV939: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3125: $i] :
( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SY3125 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SY3125 )
| ~ ( s_e @ SV567 @ SV691 @ SV939 @ SY3125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2572]) ).
thf(2701,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) )
| ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2573]) ).
thf(2702,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY2870: $i,SY2871: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2870 @ SY2871 )
| ( s_e @ SV404 @ SV568 @ SY2870 @ SY2871 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2574]) ).
thf(2703,plain,
! [SV927: $i,SV911: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV911 @ SV927 )
= $true )
| ( ( ~ ( s_e @ SV207 @ SV404 @ SV692 @ SV911 )
| ~ ( s_e @ SV207 @ SV568 @ SV692 @ SV927 )
| ~ ( s_e @ SV404 @ SV568 @ SV911 @ SV927 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2575]) ).
thf(2704,plain,
! [SV880: $i,SV838: $i,SV779: $i,SV694: $i,SV571: $i,SV406: $i,SV211: $i,SV4: $i] :
( ( ( ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
| ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
| ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 )
| ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2577]) ).
thf(2705,plain,
! [SV781: $i,SV696: $i,SV576: $i,SV411: $i,SV219: $i,SV12: $i] :
( ( ( s_t @ SV12 @ SV219 @ SV411 )
= $false )
| ( ( ~ ( s_t @ SV576 @ SV696 @ SV781 ) )
= $true )
| ( ( ~ ( s_e @ SV12 @ SV219 @ SV576 @ SV696 ) )
= $true )
| ( ( ~ ( s_e @ SV219 @ SV411 @ SV696 @ SV781 ) )
= $true )
| ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2579]) ).
thf(2706,plain,
! [SV782: $i,SV698: $i,SV580: $i,SV414: $i,SV223: $i,SV16: $i] :
( ( ( s_t @ SV16 @ SV223 @ SV414 )
= $false )
| ( ( ~ ( s_t @ SV580 @ SV698 @ SV782 ) )
= $true )
| ( ( ~ ( s_e @ SV16 @ SV223 @ SV698 @ SV782 ) )
= $true )
| ( ( ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) )
= $true )
| ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2581]) ).
thf(2707,plain,
! [SV840: $i,SV700: $i,SV589: $i,SV423: $i,SV237: $i,SV30: $i] :
( ( ( s_t @ SV30 @ SV237 @ SV423 )
= $false )
| ( ( ~ ( s_t @ SV589 @ SV700 @ SV840 ) )
= $true )
| ( ( ~ ( s_e @ SV30 @ SV423 @ SV589 @ SV840 ) )
= $true )
| ( ( ~ ( s_e @ SV237 @ SV423 @ SV700 @ SV840 ) )
= $true )
| ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2583]) ).
thf(2708,plain,
! [SV882: $i,SV841: $i,SV786: $i,SV704: $i,SV593: $i,SV432: $i,SV248: $i,SV41: $i] :
( ( ( s_fs @ SV41 @ SV248 @ SV432 @ SV593 @ SV704 @ SV786 @ SV841 @ SV882 )
= $false )
| ( ( SV41 = SV248 )
= $true )
| ( ( s_e @ SV432 @ SV593 @ SV841 @ SV882 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2586]) ).
thf(2709,plain,
! [SV433: $i,SV249: $i,SV705: $i,SV594: $i,SV42: $i] :
( ( ( s_e @ SV42 @ SV594 @ SV42 @ SV705 )
= $false )
| ( ( SV42 = SV249 )
= $true )
| ( ( s_col @ SV42 @ SV249 @ SV433 )
= $false )
| ( ( ~ ( s_e @ SV249 @ SV594 @ SV249 @ SV705 ) )
= $true )
| ( ( s_e @ SV433 @ SV594 @ SV433 @ SV705 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2587]) ).
thf(2710,plain,
! [SV43: $i,SV595: $i,SV434: $i,SV250: $i] :
( ( ( s_e @ SV250 @ SV434 @ SV250 @ SV595 )
= $false )
| ( ( s_col @ SV43 @ SV250 @ SV434 )
= $false )
| ( ( SV43 = SV250 )
= $true )
| ( ( s_e @ SV43 @ SV434 @ SV43 @ SV595 )
= $false )
| ( ( SV434 = SV595 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2588]) ).
thf(2711,plain,
! [SV883: $i,SV842: $i,SV787: $i,SV707: $i,SV601: $i,SV440: $i,SV256: $i,SV49: $i] :
( ( ( ~ ( le @ SV49 @ SV256 @ SV440 @ SV601 ) )
= $true )
| ( ( ~ ( s_e @ SV49 @ SV256 @ SV707 @ SV787 ) )
= $true )
| ( ( ~ ( s_e @ SV440 @ SV601 @ SV842 @ SV883 ) )
= $true )
| ( ( le @ SV707 @ SV787 @ SV842 @ SV883 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2592]) ).
thf(2712,plain,
! [SV59: $i,SV709: $i,SV266: $i,SV449: $i] :
( ( ( s_t @ SV449 @ SV266 @ SV709 )
= $false )
| ( ( SV59 = SV266 )
= $true )
| ( ( SV449 = SV266 )
= $true )
| ( ( SV709 = SV266 )
= $true )
| ( ( s_t @ SV59 @ SV266 @ SV709 )
= $false )
| ( ( sameside @ SV59 @ SV266 @ SV449 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2594]) ).
thf(2713,plain,
! [SV710: $i,SV450: $i,SV267: $i,SV60: $i] :
( ( ( sameside @ SV60 @ SV267 @ SV450 )
= $false )
| ( ( s_t @ SV450 @ SV267 @ SV710 )
= $true )
| ( ( SV60 = SV267 )
= $true )
| ( ( SV450 = SV267 )
= $true )
| ( ( SV710 = SV267 )
= $true )
| ( ( s_t @ SV60 @ SV267 @ SV710 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2595]) ).
thf(2714,plain,
! [SV61: $i,SV605: $i,SV268: $i,SV451: $i] :
( ( ( s_t @ SV451 @ SV268 @ SV605 )
= $false )
| ( ( SV61 = SV268 )
= $true )
| ( ( sameside @ SV61 @ SV268 @ SV451 )
= $true )
| ( ( SV451 = SV268 )
= $true )
| ( ( SV605 = SV268 )
= $true )
| ( ( s_t @ SV61 @ SV268 @ SV605 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2596]) ).
thf(2715,plain,
! [SV789: $i,SV711: $i,SV607: $i,SV455: $i,SV273: $i,SV66: $i] :
( ( ( ( SV66 = SV273 )
| ( SV455 = SV607 ) )
= $true )
| ( ( ~ ( sameside @ SV711 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 ) )
= $true )
| ( ( ~ ( sameside @ SV789 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2597]) ).
thf(2716,plain,
! [SV608: $i,SV458: $i,SV69: $i,SV276: $i] :
( ( ( s_t @ SV276 @ SV69 @ SV458 )
= $false )
| ( ( SV69 = SV458 )
= $true )
| ( ( SV69 = SV276 )
= $true )
| ( ( ~ ( s_col @ SV608 @ SV69 @ SV276 ) )
= $true )
| ( ( SV608 = SV69 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV276 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2598]) ).
thf(2717,plain,
! [SV712: $i,SV284: $i,SV77: $i,SV614: $i,SV465: $i] :
( ( ( s_col @ SV465 @ SV614 @ SV77 )
= $false )
| ( ( SV465 = SV614 )
= $true )
| ( ( SV77 = SV284 )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV284 ) )
= $true )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV712 ) )
= $true )
| ( ( s_col @ SV77 @ SV284 @ SV712 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2604]) ).
thf(2718,plain,
! [SV843: $i,SV790: $i,SV713: $i,SV615: $i,SV466: $i,SV285: $i,SV78: $i] :
( ( ( ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 )
| ~ ( s_col @ SV466 @ SV615 @ SV713 )
| ~ ( s_col @ SV78 @ SV285 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2605]) ).
thf(2719,plain,
! [SV791: $i,SV714: $i,SV616: $i,SV467: $i,SV287: $i,SV80: $i] :
( ( ( sameside @ SV80 @ SV287 @ SV467 )
= $false )
| ( ( ~ ( sameside @ SV616 @ SV714 @ SV791 ) )
= $true )
| ( ( ~ ( s_e @ SV287 @ SV80 @ SV714 @ SV616 ) )
= $true )
| ( ( ~ ( s_e @ SV287 @ SV467 @ SV714 @ SV791 ) )
= $true )
| ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2606]) ).
thf(2720,plain,
! [SV716: $i,SV481: $i,SV101: $i,SV623: $i,SV308: $i] :
( ( ( SV308 = SV623 )
= $true )
| ( ( s_col @ SV101 @ SV308 @ SV481 )
= $true )
| ( ( ~ ( s_e @ SV101 @ SV308 @ SV481 @ SV623 ) )
= $true )
| ( ( ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 ) )
= $true )
| ( ( ~ ( s_col @ SV101 @ SV716 @ SV481 ) )
= $true )
| ( ( ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2607]) ).
thf(2721,plain,
! [SV717: $i,SV482: $i,SV794: $i,SV309: $i,SV845: $i,SV102: $i,SV624: $i] :
( ( ( le @ SV624 @ SV102 @ SV624 @ SV845 )
= $false )
| ( ( s_t @ SV309 @ SV624 @ SV794 )
= $true )
| ( ( s_kf @ SV102 @ SV309 @ SV482 @ SV624 @ SV717 @ SV794 @ SV845 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2608]) ).
thf(2722,plain,
! [SV846: $i,SV796: $i,SV719: $i,SV626: $i,SV484: $i,SV311: $i,SV104: $i] :
( ( ( ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SV719 )
| ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 ) )
= $true )
| ( ( ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2609]) ).
thf(2723,plain,
! [SV885: $i,SV631: $i,SV495: $i,SV324: $i,SV117: $i,SV847: $i,SV723: $i] :
( ( ( SV723 = SV847 )
= $true )
| ( ( ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV847 )
| ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2612]) ).
thf(2724,plain,
! [SV326: $i,SV119: $i,SV724: $i,SV633: $i,SV497: $i] :
( ( ( s_col @ SV497 @ SV633 @ SV724 )
= $false )
| ( ( perp @ SV119 @ SV326 @ SV497 @ SV633 )
= $false )
| ( ( s_col @ SV119 @ SV326 @ SV724 )
= $false )
| ( ( perpAt @ SV119 @ SV326 @ SV724 @ SV497 @ SV633 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2613]) ).
thf(2725,plain,
! [SV726: $i,SV636: $i,SV500: $i,SV329: $i,SV122: $i] :
( ( ( SV122 = SV329 )
= $true )
| ( ( ~ ( s_col @ SV122 @ SV329 @ SV500 ) )
= $true )
| ( ( ~ ( s_col @ SV122 @ SV329 @ SV636 ) )
= $true )
| ( ( SV636 = SV500 )
= $true )
| ( ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV726 )
= $true )
| ( ( ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2614]) ).
thf(2726,plain,
! [SV727: $i,SV501: $i,SV637: $i,SV330: $i,SV123: $i] :
( ( ( s_col @ SV123 @ SV330 @ SV637 )
= $false )
| ( ( s_col @ SV123 @ SV330 @ SV501 )
= $true )
| ( ( ~ ( s_col @ SV123 @ SV330 @ SV727 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true )
| ( ( SV637 = SV727 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2615]) ).
thf(2727,plain,
! [SV728: $i,SV641: $i,SV505: $i,SV334: $i,SV127: $i] :
( ( ( s_col @ SV127 @ SV334 @ SV505 )
= $false )
| ( ( SV505 = SV641 )
= $true )
| ( ( SV127 = SV334 )
= $true )
| ( ( ~ ( s_col @ SV127 @ SV334 @ SV641 ) )
= $true )
| ( ( ~ ( s_col @ SV505 @ SV641 @ SV728 ) )
= $true )
| ( ( s_col @ SV127 @ SV334 @ SV728 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2617]) ).
thf(2728,plain,
! [SV729: $i,SV642: $i,SV506: $i,SV335: $i,SV128: $i] :
( ( ( le @ SV128 @ SV335 @ SV506 @ SV642 )
= $false )
| ( ( ~ ( perp @ SV128 @ SV506 @ SV128 @ SV335 ) )
= $true )
| ( ( ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 ) )
= $true )
| ( ( ~ ( s_t @ SV335 @ SV729 @ SV642 ) )
= $true )
| ( ( ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2618]) ).
thf(2729,plain,
! [SV848: $i,SV798: $i,SV730: $i,SV643: $i,SV507: $i,SV337: $i,SV130: $i] :
( ( ( ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 )
| ~ ( s_t @ SV130 @ SV730 @ SV643 )
| ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2619]) ).
thf(2730,plain,
! [SV849: $i,SV799: $i,SV731: $i,SV644: $i,SV508: $i,SV338: $i,SV131: $i] :
( ( ( ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 )
| ~ ( s_t @ SV131 @ SV731 @ SV644 )
| ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2620]) ).
thf(2731,plain,
! [SV800: $i,SV732: $i,SV645: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ( ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
| ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 ) )
= $true )
| ( ( ~ ( s_col @ SV339 @ SV509 @ SV732 ) )
= $true )
| ( ( ~ ( s_t @ SV132 @ SV732 @ SV645 ) )
= $true )
| ( ( ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2621]) ).
thf(2732,plain,
! [SV850: $i,SV801: $i,SV733: $i,SV341: $i,SV134: $i,SV647: $i,SV511: $i] :
( ( ( SV511 = SV647 )
= $true )
| ( ( ~ ( s_col @ SV134 @ SV341 @ SV511 )
| ~ ( s_col @ SV134 @ SV341 @ SV647 ) )
= $true )
| ( ( SV134 = SV341 )
= $true )
| ( ( ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 ) )
= $true )
| ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2622]) ).
thf(2733,plain,
! [SV802: $i,SV734: $i,SV648: $i,SV512: $i,SV342: $i,SV135: $i] :
( ( ( ~ ( s_col @ SV135 @ SV342 @ SV512 ) )
= $true )
| ( ( ~ ( s_col @ SV135 @ SV342 @ SV648 ) )
= $true )
| ( ( SV512 = SV648 )
= $true )
| ( ( SV135 = SV342 )
= $true )
| ( ( ~ ( perp @ SV512 @ SV648 @ SV734 @ SV802 ) )
= $true )
| ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2623]) ).
thf(2734,plain,
! [SV649: $i,SV513: $i,SV343: $i,SV136: $i] :
( ( ( SV136 = SV343 )
= $true )
| ( ( SV136 = SV513 )
= $true )
| ( ( SV343 = SV513 )
= $true )
| ( ( SV649 = SV513 )
= $true )
| ( ( SV136 = SV649 )
= $true )
| ( ( ~ ( perp @ SV343 @ SV136 @ SV136 @ SV513 ) )
= $true )
| ( ( ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2624]) ).
thf(2735,plain,
! [SV803: $i,SV735: $i,SV651: $i,SV515: $i,SV345: $i,SV138: $i] :
( ( ( ~ ( s_col @ SV138 @ SV345 @ SV515 ) )
= $true )
| ( ( ~ ( s_col @ SV138 @ SV345 @ SV651 ) )
= $true )
| ( ( SV515 = SV651 )
= $true )
| ( ( SV138 = SV345 )
= $true )
| ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
= $true )
| ( ( ~ ( perp @ SV138 @ SV345 @ SV735 @ SV803 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2625]) ).
thf(2736,plain,
! [SV516: $i,SV346: $i,SV139: $i,SV736: $i,SV652: $i] :
( ( ( samesideline @ SV652 @ SV736 @ SV139 @ SV346 )
= $false )
| ( ( SV139 = SV516 )
= $true )
| ( ( SV139 = SV346 )
= $true )
| ( ( s_col @ SV139 @ SV346 @ SV516 )
= $false )
| ( ( samesideline @ SV652 @ SV736 @ SV139 @ SV516 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2626]) ).
thf(2737,plain,
! [SV851: $i,SV804: $i,SV737: $i,SV655: $i,SV519: $i,SV349: $i,SV142: $i] :
( ( ( ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV737 )
| ~ ( s_m @ SV142 @ SV737 @ SV655 ) )
= $true )
| ( ( ~ ( s_col @ SV349 @ SV519 @ SV804 ) )
= $true )
| ( ( ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2627]) ).
thf(2738,plain,
! [SV852: $i,SV805: $i,SV738: $i,SV656: $i,SV520: $i,SV350: $i,SV143: $i] :
( ( ( ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
| ~ ( s_col @ SV350 @ SV520 @ SV738 ) )
= $true )
| ( ( ~ ( s_m @ SV143 @ SV738 @ SV656 ) )
= $true )
| ( ( ~ ( s_col @ SV350 @ SV520 @ SV805 ) )
= $true )
| ( ( ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2628]) ).
thf(2739,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
| ~ ( s_m @ SV807 @ SV853 @ SV739 )
| ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2629]) ).
thf(2740,plain,
! [SV854: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i,SV808: $i,SV887: $i] :
( ( ( ( sameside @ SV887 @ SV808 @ SV146 )
| ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
| ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2630]) ).
thf(2741,plain,
! [SV888: $i,SV855: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i,SV741: $i,SV809: $i] :
( ( ( SV809 = SV741 )
= $false )
| ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
| ~ ( s_m @ SV809 @ SV855 @ SV741 )
| ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2631]) ).
thf(2742,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i] :
( ( ( ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2632]) ).
thf(2743,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
| ~ ( s_m @ SV811 @ SV857 @ SV743 )
| ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2633]) ).
thf(2744,plain,
! [SV812: $i,SV662: $i,SV150: $i,SV744: $i,SV527: $i,SV357: $i] :
( ( ( s_col @ SV357 @ SV527 @ SV744 )
= $false )
| ( ( opposite @ SV150 @ SV357 @ SV527 @ SV662 )
= $false )
| ( ( ~ ( sameside @ SV150 @ SV744 @ SV812 ) )
= $true )
| ( ( opposite @ SV812 @ SV357 @ SV527 @ SV662 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2634]) ).
thf(2745,plain,
! [SV813: $i,SV667: $i,SV532: $i,SV362: $i,SV155: $i] :
( ( ( s_col @ SV155 @ SV362 @ SV532 )
= $false )
| ( ( SV155 = SV362 )
= $true )
| ( ( s_m @ SV532 @ SV667 @ SV813 )
= $false )
| ( ( ~ ( s_col @ SV155 @ SV362 @ SV813 ) )
= $true )
| ( ( s_col @ SV155 @ SV362 @ SV667 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2636]) ).
thf(2746,plain,
! [SV671: $i,SV749: $i,SV536: $i,SV366: $i,SV159: $i] :
( ( ( perpAt @ SV159 @ SV366 @ SV536 @ SV749 @ SV536 )
= $false )
| ( ( SV159 = SV366 )
= $true )
| ( ( perpAt @ SV159 @ SV366 @ SV536 @ SV671 @ SV536 )
= $false )
| ( ( SV671 = SV536 )
= $true )
| ( ( s_col @ SV536 @ SV671 @ SV749 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2638]) ).
thf(2747,plain,
! [SV752: $i,SV674: $i,SV541: $i,SV371: $i,SV164: $i] :
( ( ( s_col @ SV164 @ SV371 @ SV541 )
= $false )
| ( ( SV164 = SV371 )
= $true )
| ( ( ~ ( s_col @ SV674 @ SV752 @ SV541 ) )
= $true )
| ( ( ~ ( sameside @ SV674 @ SV541 @ SV752 ) )
= $true )
| ( ( s_col @ SV164 @ SV371 @ SV674 )
= $true )
| ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2640]) ).
thf(2748,plain,
! [SV755: $i,SV681: $i,SV549: $i,SV381: $i,SV174: $i] :
( ( ( ~ ( s_r @ SV174 @ SV381 @ SV549 )
| ~ ( s_r @ SV681 @ SV381 @ SV755 ) )
= $true )
| ( ( ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 ) )
= $true )
| ( ( ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
= $true )
| ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2642]) ).
thf(2749,plain,
! [SV550: $i,SV175: $i,SV756: $i,SV382: $i,SV682: $i] :
( ( ( s_r @ SV682 @ SV382 @ SV756 )
= $false )
| ( ( s_r @ SV175 @ SV382 @ SV550 )
= $false )
| ( ( ~ ( s_e @ SV175 @ SV382 @ SV682 @ SV382 ) )
= $true )
| ( ( ~ ( s_e @ SV382 @ SV550 @ SV382 @ SV756 ) )
= $true )
| ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2643]) ).
thf(2750,plain,
! [SV815: $i,SV757: $i,SV683: $i,SV551: $i,SV383: $i,SV176: $i] :
( ( ( s_r @ SV176 @ SV383 @ SV551 )
= $false )
| ( ( ~ ( s_r @ SV683 @ SV757 @ SV815 ) )
= $true )
| ( ( ~ ( s_e @ SV176 @ SV383 @ SV683 @ SV757 ) )
= $true )
| ( ( ~ ( s_e @ SV383 @ SV551 @ SV757 @ SV815 ) )
= $true )
| ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2644]) ).
thf(2751,plain,
! [SV860: $i,SV818: $i,SV386: $i,SV179: $i] :
( ( ( s_col @ SV179 @ SV386 @ ( midpoint @ SV818 @ SV860 ) )
= $false )
| ( ( SV179 = SV386 )
= $true )
| ( ( ~ ( perp @ SV179 @ SV386 @ SV818 @ SV860 ) )
= $true )
| ( ( SV860
= ( reflect @ SV179 @ SV386 @ SV818 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2645]) ).
thf(2752,plain,
! [SV861: $i,SV819: $i,SV386: $i,SV179: $i] :
( ( ( SV179 = SV386 )
= $true )
| ( ( ~ ( s_col @ SV179 @ SV386 @ ( midpoint @ SV819 @ SV861 ) ) )
= $true )
| ( ( SV819 = SV861 )
= $false )
| ( ( SV861
= ( reflect @ SV179 @ SV386 @ SV819 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2646]) ).
thf(2753,plain,
! [SV930: $i,SV913: $i,SV387: $i,SV181: $i] :
( ( ( ~ ( le @ SV181 @ SV387 @ SV913 @ SV930 ) )
= $true )
| ( ( s_t @ SV181 @ SV387 @ ( ins @ SV913 @ SV930 @ SV181 @ SV387 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2649]) ).
thf(2754,plain,
! [SV931: $i,SV914: $i,SV387: $i,SV181: $i] :
( ( ( ~ ( le @ SV181 @ SV387 @ SV914 @ SV931 ) )
= $true )
| ( ( s_e @ SV181 @ ( ins @ SV914 @ SV931 @ SV181 @ SV387 ) @ SV914 @ SV931 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2650]) ).
thf(2755,plain,
! [SV915: $i,SV893: $i,SV182: $i] :
( ( ( s_m @ SV182 @ SV893 @ SV915 )
= $false )
| ( ( s_t @ SV182 @ SV893 @ SV915 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2651]) ).
thf(2756,plain,
! [SV916: $i,SV894: $i,SV182: $i] :
( ( ( s_m @ SV182 @ SV894 @ SV916 )
= $false )
| ( ( s_e @ SV894 @ SV182 @ SV894 @ SV916 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2652]) ).
thf(2757,plain,
! [SV183: $i] :
( ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) )
| ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2654]) ).
thf(2758,plain,
! [SV183: $i,SV940: $i] :
( ( ! [SY3126: $i] :
( ( s_t @ SV940 @ SY3126 @ SV183 )
| ~ ( sameside @ SV183 @ SV940 @ SY3126 )
| ( s_t @ SV940 @ SV183 @ SY3126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2655]) ).
thf(2759,plain,
! [SV917: $i,SV183: $i,SV895: $i] :
( ( ( xb = SV895 )
= $true )
| ( ( ~ ( s_t @ SV895 @ SV183 @ SV917 )
| ( SV183 = SV895 ) )
= $true )
| ( ( sameside @ SV183 @ SV895 @ SV917 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2656]) ).
thf(2760,plain,
! [SV184: $i] :
( ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) )
| ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2658]) ).
thf(2761,plain,
! [SV941: $i,SV184: $i] :
( ( ! [SY3127: $i] :
( ~ ( sameside @ SV184 @ SV941 @ SY3127 )
| ( ( c63 @ SV184 @ SV941 @ SY3127 )
!= SV941 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2659]) ).
thf(2762,plain,
! [SV918: $i,SV896: $i,SV184: $i] :
( ( ( sameside @ SV184 @ SV896 @ SV918 )
= $false )
| ( ( s_t @ SV184 @ SV896 @ ( c63 @ SV184 @ SV896 @ SV918 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2660]) ).
thf(2763,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2661]) ).
thf(2764,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV388 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2662]) ).
thf(2765,plain,
! [SV762: $i,SV388: $i,SV185: $i,SV685: $i,SV553: $i] :
( ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( ! [SY2942: $i,SY2943: $i] :
( ( SV388 = SY2943 )
| ( SV185 = SV762 )
| ( SY2942 = SY2943 )
| ( SY2942 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SY2942 )
| ~ ( s_t @ SV388 @ SY2943 @ SY2942 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SY2943 ) ) )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2663]) ).
thf(2766,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2664]) ).
thf(2767,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2664]) ).
thf(2768,plain,
! [SV932: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SV932 ) )
= $true )
| ( ( s_t @ SV554 @ ( il @ SV554 @ SV932 @ SV186 @ SV389 ) @ SV932 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2665]) ).
thf(2769,plain,
! [SV897: $i,SV390: $i,SV187: $i,SV555: $i,SV865: $i] :
( ( ( SV865 = SV555 )
= $true )
| ( ( ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV865 ) )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV897 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2666]) ).
thf(2770,plain,
! [SV898: $i,SV390: $i,SV187: $i,SV555: $i,SV866: $i] :
( ( ( SV866 = SV555 )
= $true )
| ( ( ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 )
| ~ ( s_col @ SV187 @ SV390 @ SV866 ) )
= $true )
| ( ( s_r @ SV898 @ SV555 @ SV866 )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV898 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2667]) ).
thf(2771,plain,
! [SV942: $i,SV189: $i] :
( ( ! [SY3128: $i] :
( ( s_t @ SY3128 @ SV189 @ SV942 )
| ( s_t @ SV942 @ SY3128 @ SV189 )
| ~ ( s_col @ SV189 @ SV942 @ SY3128 )
| ( s_t @ SV189 @ SV942 @ SY3128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2668]) ).
thf(2772,plain,
! [SV943: $i,SV189: $i] :
( ( ! [SY3129: $i] :
( ( s_col @ SV189 @ SV943 @ SY3129 )
| ~ ( s_t @ SV189 @ SV943 @ SY3129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2669]) ).
thf(2773,plain,
! [SV189: $i,SV919: $i,SV899: $i] :
( ( ( s_t @ SV899 @ SV919 @ SV189 )
= $false )
| ( ( s_col @ SV189 @ SV899 @ SV919 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2670]) ).
thf(2774,plain,
! [SV900: $i,SV867: $i,SV556: $i,SV391: $i,SV190: $i] :
( ( ( s_t @ SV190 @ SV391 @ SV556 )
= $false )
| ( ( ~ ( s_e @ SV190 @ SV556 @ SV867 @ SV900 ) )
= $true )
| ( ( s_t @ SV867 @ ( insert @ SV190 @ SV391 @ SV867 @ SV900 ) @ SV900 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2671]) ).
thf(2775,plain,
! [SV901: $i,SV868: $i,SV556: $i,SV391: $i,SV190: $i] :
( ( ( s_t @ SV190 @ SV391 @ SV556 )
= $false )
| ( ( ~ ( s_e @ SV190 @ SV556 @ SV868 @ SV901 ) )
= $true )
| ( ( s_e3 @ SV190 @ SV391 @ SV556 @ SV868 @ ( insert @ SV190 @ SV391 @ SV868 @ SV901 ) @ SV901 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2672]) ).
thf(2776,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
| ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2673]) ).
thf(2777,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ! [SY3054: $i,SY3055: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3054 @ SY3055 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SY3055 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2673]) ).
thf(2778,plain,
! [SV944: $i,SV933: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
| ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 )
| ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2674]) ).
thf(2779,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2675]) ).
thf(2780,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2676]) ).
thf(2781,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(2782,plain,
! [SV902: $i,SV869: $i,SV559: $i,SV394: $i,SV193: $i] :
( ( ( s_t @ SV193 @ SV394 @ SV559 )
= $false )
| ( ( ~ ( s_t @ SV869 @ SV902 @ SV559 ) )
= $true )
| ( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SV869 @ SV902 ) @ SV869 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2678]) ).
thf(2783,plain,
! [SV903: $i,SV870: $i,SV559: $i,SV394: $i,SV193: $i] :
( ( ( s_t @ SV193 @ SV394 @ SV559 )
= $false )
| ( ( ~ ( s_t @ SV870 @ SV903 @ SV559 ) )
= $true )
| ( ( s_t @ SV903 @ ( ip @ SV193 @ SV394 @ SV559 @ SV870 @ SV903 ) @ SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2679]) ).
thf(2784,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2680]) ).
thf(2785,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2680]) ).
thf(2786,plain,
! [SV945: $i,SV934: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV934 @ SV945 )
| ( SV560
!= ( g813 @ SV194 @ SV395 @ SV934 @ SV945 @ SV560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(2787,plain,
! [SV935: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ( ~ ( le @ SV195 @ SV396 @ SV561 @ SV935 ) )
= $true )
| ( ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SV935 ) @ SV935 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2683]) ).
thf(2788,plain,
! [SV936: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ( ~ ( le @ SV195 @ SV396 @ SV561 @ SV936 ) )
= $true )
| ( ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SV936 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2684]) ).
thf(2789,plain,
! [SV396: $i,SV195: $i,SV872: $i,SV920: $i,SV561: $i] :
( ( ( s_t @ SV561 @ SV920 @ SV872 )
= $false )
| ( ( ~ ( s_e @ SV195 @ SV396 @ SV561 @ SV920 ) )
= $true )
| ( ( le @ SV195 @ SV396 @ SV561 @ SV872 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2685]) ).
thf(2790,plain,
! [SV921: $i,SV905: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ( ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SV905 @ SV562 ) )
= $true )
| ( ( ~ ( s_t @ SV196 @ SV921 @ SV688 ) )
= $true )
| ( ( s_t @ SV921 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV905 @ SV921 ) @ SV562 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2686]) ).
thf(2791,plain,
! [SV922: $i,SV906: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ( ~ ( s_t @ SV196 @ SV397 @ SV562 )
| ~ ( s_t @ SV688 @ SV906 @ SV562 ) )
= $true )
| ( ( ~ ( s_t @ SV196 @ SV922 @ SV688 ) )
= $true )
| ( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV906 @ SV922 ) @ SV906 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2687]) ).
thf(2792,plain,
! [SV907: $i,SV873: $i,SV563: $i,SV398: $i,SV197: $i] :
( ( ( s_t @ SV197 @ SV398 @ SV563 )
= $false )
| ( ( ~ ( s_t @ SV873 @ SV907 @ SV398 ) )
= $true )
| ( ( s_t @ SV197 @ ( op @ SV907 @ SV873 @ SV563 @ SV398 @ SV197 ) @ SV873 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2688]) ).
thf(2793,plain,
! [SV908: $i,SV874: $i,SV563: $i,SV398: $i,SV197: $i] :
( ( ( s_t @ SV197 @ SV398 @ SV563 )
= $false )
| ( ( ~ ( s_t @ SV874 @ SV908 @ SV398 ) )
= $true )
| ( ( s_t @ SV563 @ SV908 @ ( op @ SV908 @ SV874 @ SV563 @ SV398 @ SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2689]) ).
thf(2794,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
| ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2690]) ).
thf(2795,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ! [SY3064: $i,SY3065: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3064 @ SY3065 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SY3065 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2690]) ).
thf(2796,plain,
! [SV946: $i,SV937: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
| ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SV946 )
| ~ ( s_e @ SV399 @ SV689 @ SV828 @ SV946 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2691]) ).
thf(2797,plain,
! [SV923: $i,SV909: $i,SV200: $i] :
( ( ( SV200 = SV909 )
= $true )
| ( ( perp @ SV200 @ SV909 @ ( erect21a @ SV200 @ SV909 @ SV923 ) @ SV200 )
= $true )
| ( ( s_col @ SV200 @ SV909 @ SV923 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2693]) ).
thf(2798,plain,
! [SV924: $i,SV910: $i,SV200: $i] :
( ( ( SV200 = SV910 )
= $true )
| ( ( s_col @ SV200 @ SV910 @ ( erectAux21a @ SV200 @ SV910 @ SV924 ) )
= $true )
| ( ( s_col @ SV200 @ SV910 @ SV924 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2694]) ).
thf(2799,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2695]) ).
thf(2800,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2988: $i,SY2989: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2988 @ SY2989 )
| ( s_m @ SY2989 @ SY2988 @ SV772 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2696]) ).
thf(2801,plain,
! [SV938: $i,SV925: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true )
| ( ( ~ ( s_t @ SV201 @ SV690 @ SV938 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 )
| ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(2802,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
| ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2699]) ).
thf(2803,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ! [SY3080: $i,SY3081: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3080 @ SY3081 )
| ( s_e @ SV567 @ SV691 @ SY3080 @ SY3081 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2699]) ).
thf(2804,plain,
! [SV947: $i,SV939: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
| ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 )
| ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2700]) ).
thf(2805,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) )
| ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2701]) ).
thf(2806,plain,
! [SV948: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY3130: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV948 @ SY3130 )
| ( s_e @ SV404 @ SV568 @ SV948 @ SY3130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2702]) ).
thf(2807,plain,
! [SV927: $i,SV568: $i,SV911: $i,SV692: $i,SV404: $i,SV207: $i] :
( ( ( ~ ( s_e @ SV207 @ SV404 @ SV692 @ SV911 )
| ~ ( s_e @ SV207 @ SV568 @ SV692 @ SV927 ) )
= $true )
| ( ( ~ ( s_e @ SV404 @ SV568 @ SV911 @ SV927 ) )
= $true )
| ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV911 @ SV927 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(2808,plain,
! [SV880: $i,SV838: $i,SV779: $i,SV694: $i,SV571: $i,SV406: $i,SV211: $i,SV4: $i] :
( ( ( ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
| ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
| ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 ) )
= $true )
| ( ( ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2704]) ).
thf(2809,plain,
! [SV411: $i,SV219: $i,SV12: $i,SV781: $i,SV696: $i,SV576: $i] :
( ( ( s_t @ SV576 @ SV696 @ SV781 )
= $false )
| ( ( s_t @ SV12 @ SV219 @ SV411 )
= $false )
| ( ( ~ ( s_e @ SV12 @ SV219 @ SV576 @ SV696 ) )
= $true )
| ( ( ~ ( s_e @ SV219 @ SV411 @ SV696 @ SV781 ) )
= $true )
| ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2705]) ).
thf(2810,plain,
! [SV414: $i,SV223: $i,SV16: $i,SV782: $i,SV698: $i,SV580: $i] :
( ( ( s_t @ SV580 @ SV698 @ SV782 )
= $false )
| ( ( s_t @ SV16 @ SV223 @ SV414 )
= $false )
| ( ( ~ ( s_e @ SV16 @ SV223 @ SV698 @ SV782 ) )
= $true )
| ( ( ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) )
= $true )
| ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2706]) ).
thf(2811,plain,
! [SV423: $i,SV237: $i,SV30: $i,SV840: $i,SV700: $i,SV589: $i] :
( ( ( s_t @ SV589 @ SV700 @ SV840 )
= $false )
| ( ( s_t @ SV30 @ SV237 @ SV423 )
= $false )
| ( ( ~ ( s_e @ SV30 @ SV423 @ SV589 @ SV840 ) )
= $true )
| ( ( ~ ( s_e @ SV237 @ SV423 @ SV700 @ SV840 ) )
= $true )
| ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2707]) ).
thf(2812,plain,
! [SV433: $i,SV42: $i,SV705: $i,SV594: $i,SV249: $i] :
( ( ( s_e @ SV249 @ SV594 @ SV249 @ SV705 )
= $false )
| ( ( s_col @ SV42 @ SV249 @ SV433 )
= $false )
| ( ( SV42 = SV249 )
= $true )
| ( ( s_e @ SV42 @ SV594 @ SV42 @ SV705 )
= $false )
| ( ( s_e @ SV433 @ SV594 @ SV433 @ SV705 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2709]) ).
thf(2813,plain,
! [SV883: $i,SV842: $i,SV787: $i,SV707: $i,SV601: $i,SV440: $i,SV256: $i,SV49: $i] :
( ( ( le @ SV49 @ SV256 @ SV440 @ SV601 )
= $false )
| ( ( ~ ( s_e @ SV49 @ SV256 @ SV707 @ SV787 ) )
= $true )
| ( ( ~ ( s_e @ SV440 @ SV601 @ SV842 @ SV883 ) )
= $true )
| ( ( le @ SV707 @ SV787 @ SV842 @ SV883 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2711]) ).
thf(2814,plain,
! [SV789: $i,SV711: $i,SV607: $i,SV455: $i,SV273: $i,SV66: $i] :
( ( ( SV66 = SV273 )
= $true )
| ( ( SV455 = SV607 )
= $true )
| ( ( ~ ( sameside @ SV711 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 ) )
= $true )
| ( ( ~ ( sameside @ SV789 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2715]) ).
thf(2815,plain,
! [SV458: $i,SV276: $i,SV69: $i,SV608: $i] :
( ( ( s_col @ SV608 @ SV69 @ SV276 )
= $false )
| ( ( SV69 = SV276 )
= $true )
| ( ( SV69 = SV458 )
= $true )
| ( ( s_t @ SV276 @ SV69 @ SV458 )
= $false )
| ( ( SV608 = SV69 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV276 )
= $true )
| ( ( sameside @ SV608 @ SV69 @ SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2716]) ).
thf(2816,plain,
! [SV712: $i,SV77: $i,SV284: $i,SV614: $i,SV465: $i] :
( ( ( s_col @ SV465 @ SV614 @ SV284 )
= $false )
| ( ( SV77 = SV284 )
= $true )
| ( ( SV465 = SV614 )
= $true )
| ( ( s_col @ SV465 @ SV614 @ SV77 )
= $false )
| ( ( ~ ( s_col @ SV465 @ SV614 @ SV712 ) )
= $true )
| ( ( s_col @ SV77 @ SV284 @ SV712 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2817,plain,
! [SV843: $i,SV790: $i,SV713: $i,SV615: $i,SV466: $i,SV285: $i,SV78: $i] :
( ( ( ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 )
| ~ ( s_col @ SV466 @ SV615 @ SV713 ) )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2718]) ).
thf(2818,plain,
! [SV467: $i,SV287: $i,SV80: $i,SV791: $i,SV714: $i,SV616: $i] :
( ( ( sameside @ SV616 @ SV714 @ SV791 )
= $false )
| ( ( sameside @ SV80 @ SV287 @ SV467 )
= $false )
| ( ( ~ ( s_e @ SV287 @ SV80 @ SV714 @ SV616 ) )
= $true )
| ( ( ~ ( s_e @ SV287 @ SV467 @ SV714 @ SV791 ) )
= $true )
| ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2719]) ).
thf(2819,plain,
! [SV716: $i,SV623: $i,SV481: $i,SV308: $i,SV101: $i] :
( ( ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
= $false )
| ( ( s_col @ SV101 @ SV308 @ SV481 )
= $true )
| ( ( SV308 = SV623 )
= $true )
| ( ( ~ ( s_e @ SV308 @ SV481 @ SV623 @ SV101 ) )
= $true )
| ( ( ~ ( s_col @ SV101 @ SV716 @ SV481 ) )
= $true )
| ( ( ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2720]) ).
thf(2820,plain,
! [SV846: $i,SV796: $i,SV719: $i,SV626: $i,SV484: $i,SV311: $i,SV104: $i] :
( ( ( ~ ( s_t @ SV104 @ SV311 @ SV484 )
| ~ ( s_t @ SV626 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 ) )
= $true )
| ( ( ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2722]) ).
thf(2821,plain,
! [SV885: $i,SV847: $i,SV723: $i,SV631: $i,SV495: $i,SV324: $i,SV117: $i] :
( ( ( ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV847 ) )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2723]) ).
thf(2822,plain,
! [SV726: $i,SV636: $i,SV500: $i,SV329: $i,SV122: $i] :
( ( ( s_col @ SV122 @ SV329 @ SV500 )
= $false )
| ( ( SV122 = SV329 )
= $true )
| ( ( ~ ( s_col @ SV122 @ SV329 @ SV636 ) )
= $true )
| ( ( SV636 = SV500 )
= $true )
| ( ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV726 )
= $true )
| ( ( ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(2823,plain,
! [SV637: $i,SV501: $i,SV727: $i,SV330: $i,SV123: $i] :
( ( ( s_col @ SV123 @ SV330 @ SV727 )
= $false )
| ( ( s_col @ SV123 @ SV330 @ SV501 )
= $true )
| ( ( s_col @ SV123 @ SV330 @ SV637 )
= $false )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV637 ) )
= $true )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true )
| ( ( SV637 = SV727 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(2824,plain,
! [SV728: $i,SV505: $i,SV641: $i,SV334: $i,SV127: $i] :
( ( ( s_col @ SV127 @ SV334 @ SV641 )
= $false )
| ( ( SV127 = SV334 )
= $true )
| ( ( SV505 = SV641 )
= $true )
| ( ( s_col @ SV127 @ SV334 @ SV505 )
= $false )
| ( ( ~ ( s_col @ SV505 @ SV641 @ SV728 ) )
= $true )
| ( ( s_col @ SV127 @ SV334 @ SV728 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2727]) ).
thf(2825,plain,
! [SV729: $i,SV642: $i,SV335: $i,SV506: $i,SV128: $i] :
( ( ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
= $false )
| ( ( le @ SV128 @ SV335 @ SV506 @ SV642 )
= $false )
| ( ( ~ ( perp @ SV128 @ SV506 @ SV506 @ SV642 ) )
= $true )
| ( ( ~ ( s_t @ SV335 @ SV729 @ SV642 ) )
= $true )
| ( ( ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2826,plain,
! [SV848: $i,SV798: $i,SV730: $i,SV643: $i,SV507: $i,SV337: $i,SV130: $i] :
( ( ( ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 )
| ~ ( s_t @ SV130 @ SV730 @ SV643 ) )
= $true )
| ( ( ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2729]) ).
thf(2827,plain,
! [SV849: $i,SV799: $i,SV731: $i,SV644: $i,SV508: $i,SV338: $i,SV131: $i] :
( ( ( ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 )
| ~ ( s_t @ SV131 @ SV731 @ SV644 ) )
= $true )
| ( ( ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2730]) ).
thf(2828,plain,
! [SV800: $i,SV732: $i,SV645: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ( ~ ( perp @ SV132 @ SV339 @ SV339 @ SV509 ) )
= $true )
| ( ( ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 ) )
= $true )
| ( ( ~ ( s_col @ SV339 @ SV509 @ SV732 ) )
= $true )
| ( ( ~ ( s_t @ SV132 @ SV732 @ SV645 ) )
= $true )
| ( ( ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2731]) ).
thf(2829,plain,
! [SV850: $i,SV801: $i,SV733: $i,SV647: $i,SV511: $i,SV341: $i,SV134: $i] :
( ( ( ~ ( s_col @ SV134 @ SV341 @ SV511 ) )
= $true )
| ( ( ~ ( s_col @ SV134 @ SV341 @ SV647 ) )
= $true )
| ( ( SV511 = SV647 )
= $true )
| ( ( SV134 = SV341 )
= $true )
| ( ( ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 ) )
= $true )
| ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2732]) ).
thf(2830,plain,
! [SV802: $i,SV734: $i,SV648: $i,SV512: $i,SV342: $i,SV135: $i] :
( ( ( s_col @ SV135 @ SV342 @ SV512 )
= $false )
| ( ( ~ ( s_col @ SV135 @ SV342 @ SV648 ) )
= $true )
| ( ( SV512 = SV648 )
= $true )
| ( ( SV135 = SV342 )
= $true )
| ( ( ~ ( perp @ SV512 @ SV648 @ SV734 @ SV802 ) )
= $true )
| ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(2831,plain,
! [SV649: $i,SV513: $i,SV136: $i,SV343: $i] :
( ( ( perp @ SV343 @ SV136 @ SV136 @ SV513 )
= $false )
| ( ( SV136 = SV649 )
= $true )
| ( ( SV649 = SV513 )
= $true )
| ( ( SV343 = SV513 )
= $true )
| ( ( SV136 = SV513 )
= $true )
| ( ( SV136 = SV343 )
= $true )
| ( ( ~ ( s_col @ SV136 @ SV513 @ SV649 ) )
= $true )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2734]) ).
thf(2832,plain,
! [SV803: $i,SV735: $i,SV651: $i,SV515: $i,SV345: $i,SV138: $i] :
( ( ( s_col @ SV138 @ SV345 @ SV515 )
= $false )
| ( ( ~ ( s_col @ SV138 @ SV345 @ SV651 ) )
= $true )
| ( ( SV515 = SV651 )
= $true )
| ( ( SV138 = SV345 )
= $true )
| ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
= $true )
| ( ( ~ ( perp @ SV138 @ SV345 @ SV735 @ SV803 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(2833,plain,
! [SV851: $i,SV804: $i,SV737: $i,SV655: $i,SV519: $i,SV349: $i,SV142: $i] :
( ( ( ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
| ~ ( s_col @ SV349 @ SV519 @ SV737 ) )
= $true )
| ( ( ~ ( s_m @ SV142 @ SV737 @ SV655 ) )
= $true )
| ( ( ~ ( s_col @ SV349 @ SV519 @ SV804 ) )
= $true )
| ( ( ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2737]) ).
thf(2834,plain,
! [SV852: $i,SV805: $i,SV738: $i,SV656: $i,SV520: $i,SV350: $i,SV143: $i] :
( ( ( ~ ( opposite @ SV143 @ SV350 @ SV520 @ SV656 ) )
= $true )
| ( ( ~ ( s_col @ SV350 @ SV520 @ SV738 ) )
= $true )
| ( ( ~ ( s_m @ SV143 @ SV738 @ SV656 ) )
= $true )
| ( ( ~ ( s_col @ SV350 @ SV520 @ SV805 ) )
= $true )
| ( ( ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2738]) ).
thf(2835,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
| ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2739]) ).
thf(2836,plain,
! [SV854: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i,SV808: $i,SV887: $i] :
( ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
| ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2740]) ).
thf(2837,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i] :
( ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
| ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2741]) ).
thf(2838,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i] :
( ( ( ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SV810 )
| ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2742]) ).
thf(2839,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
| ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2743]) ).
thf(2840,plain,
! [SV662: $i,SV527: $i,SV357: $i,SV812: $i,SV744: $i,SV150: $i] :
( ( ( sameside @ SV150 @ SV744 @ SV812 )
= $false )
| ( ( opposite @ SV150 @ SV357 @ SV527 @ SV662 )
= $false )
| ( ( s_col @ SV357 @ SV527 @ SV744 )
= $false )
| ( ( opposite @ SV812 @ SV357 @ SV527 @ SV662 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2744]) ).
thf(2841,plain,
! [SV667: $i,SV532: $i,SV813: $i,SV362: $i,SV155: $i] :
( ( ( s_col @ SV155 @ SV362 @ SV813 )
= $false )
| ( ( s_m @ SV532 @ SV667 @ SV813 )
= $false )
| ( ( SV155 = SV362 )
= $true )
| ( ( s_col @ SV155 @ SV362 @ SV532 )
= $false )
| ( ( s_col @ SV155 @ SV362 @ SV667 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2745]) ).
thf(2842,plain,
! [SV371: $i,SV164: $i,SV541: $i,SV752: $i,SV674: $i] :
( ( ( s_col @ SV674 @ SV752 @ SV541 )
= $false )
| ( ( SV164 = SV371 )
= $true )
| ( ( s_col @ SV164 @ SV371 @ SV541 )
= $false )
| ( ( ~ ( sameside @ SV674 @ SV541 @ SV752 ) )
= $true )
| ( ( s_col @ SV164 @ SV371 @ SV674 )
= $true )
| ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2747]) ).
thf(2843,plain,
! [SV755: $i,SV681: $i,SV549: $i,SV381: $i,SV174: $i] :
( ( ( ~ ( s_r @ SV174 @ SV381 @ SV549 ) )
= $true )
| ( ( ~ ( s_r @ SV681 @ SV381 @ SV755 ) )
= $true )
| ( ( ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 ) )
= $true )
| ( ( ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
= $true )
| ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2748]) ).
thf(2844,plain,
! [SV756: $i,SV550: $i,SV682: $i,SV382: $i,SV175: $i] :
( ( ( s_e @ SV175 @ SV382 @ SV682 @ SV382 )
= $false )
| ( ( s_r @ SV175 @ SV382 @ SV550 )
= $false )
| ( ( s_r @ SV682 @ SV382 @ SV756 )
= $false )
| ( ( ~ ( s_e @ SV382 @ SV550 @ SV382 @ SV756 ) )
= $true )
| ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2749]) ).
thf(2845,plain,
! [SV551: $i,SV383: $i,SV176: $i,SV815: $i,SV757: $i,SV683: $i] :
( ( ( s_r @ SV683 @ SV757 @ SV815 )
= $false )
| ( ( s_r @ SV176 @ SV383 @ SV551 )
= $false )
| ( ( ~ ( s_e @ SV176 @ SV383 @ SV683 @ SV757 ) )
= $true )
| ( ( ~ ( s_e @ SV383 @ SV551 @ SV757 @ SV815 ) )
= $true )
| ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2750]) ).
thf(2846,plain,
! [SV860: $i,SV818: $i,SV386: $i,SV179: $i] :
( ( ( perp @ SV179 @ SV386 @ SV818 @ SV860 )
= $false )
| ( ( SV179 = SV386 )
= $true )
| ( ( s_col @ SV179 @ SV386 @ ( midpoint @ SV818 @ SV860 ) )
= $false )
| ( ( SV860
= ( reflect @ SV179 @ SV386 @ SV818 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2751]) ).
thf(2847,plain,
! [SV861: $i,SV819: $i,SV386: $i,SV179: $i] :
( ( ( s_col @ SV179 @ SV386 @ ( midpoint @ SV819 @ SV861 ) )
= $false )
| ( ( SV179 = SV386 )
= $true )
| ( ( SV819 = SV861 )
= $false )
| ( ( SV861
= ( reflect @ SV179 @ SV386 @ SV819 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2752]) ).
thf(2848,plain,
! [SV930: $i,SV913: $i,SV387: $i,SV181: $i] :
( ( ( le @ SV181 @ SV387 @ SV913 @ SV930 )
= $false )
| ( ( s_t @ SV181 @ SV387 @ ( ins @ SV913 @ SV930 @ SV181 @ SV387 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2753]) ).
thf(2849,plain,
! [SV931: $i,SV914: $i,SV387: $i,SV181: $i] :
( ( ( le @ SV181 @ SV387 @ SV914 @ SV931 )
= $false )
| ( ( s_e @ SV181 @ ( ins @ SV914 @ SV931 @ SV181 @ SV387 ) @ SV914 @ SV931 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2754]) ).
thf(2850,plain,
! [SV183: $i] :
( ( ~ ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2757]) ).
thf(2851,plain,
! [SV183: $i] :
( ( ~ ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2757]) ).
thf(2852,plain,
! [SV183: $i,SV949: $i,SV940: $i] :
( ( ( s_t @ SV940 @ SV949 @ SV183 )
| ~ ( sameside @ SV183 @ SV940 @ SV949 )
| ( s_t @ SV940 @ SV183 @ SV949 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2758]) ).
thf(2853,plain,
! [SV917: $i,SV183: $i,SV895: $i] :
( ( ( ~ ( s_t @ SV895 @ SV183 @ SV917 ) )
= $true )
| ( ( SV183 = SV895 )
= $true )
| ( ( xb = SV895 )
= $true )
| ( ( sameside @ SV183 @ SV895 @ SV917 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2759]) ).
thf(2854,plain,
! [SV184: $i] :
( ( ~ ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2760]) ).
thf(2855,plain,
! [SV184: $i] :
( ( ~ ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2760]) ).
thf(2856,plain,
! [SV950: $i,SV941: $i,SV184: $i] :
( ( ~ ( sameside @ SV184 @ SV941 @ SV950 )
| ( ( c63 @ SV184 @ SV941 @ SV950 )
!= SV941 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2761]) ).
thf(2857,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2763]) ).
thf(2858,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV388 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2764]) ).
thf(2859,plain,
! [SV685: $i,SV553: $i,SV951: $i,SV762: $i,SV185: $i,SV388: $i] :
( ( ( ! [SY3131: $i] :
( ( SV388 = SY3131 )
| ( SV185 = SV762 )
| ( SV951 = SY3131 )
| ( SV951 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SY3131 @ SV951 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SY3131 ) ) )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2765]) ).
thf(2860,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2766]) ).
thf(2861,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ! [SY2546: $i] :
( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2546 )
| ~ ( s_col @ SV186 @ SV389 @ SY2546 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2767]) ).
thf(2862,plain,
! [SV932: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( opposite @ SV554 @ SV186 @ SV389 @ SV932 )
= $false )
| ( ( s_t @ SV554 @ ( il @ SV554 @ SV932 @ SV186 @ SV389 ) @ SV932 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2768]) ).
thf(2863,plain,
! [SV897: $i,SV865: $i,SV555: $i,SV390: $i,SV187: $i] :
( ( ( ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 ) )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV865 ) )
= $true )
| ( ( SV865 = SV555 )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV897 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2769]) ).
thf(2864,plain,
! [SV898: $i,SV866: $i,SV555: $i,SV390: $i,SV187: $i] :
( ( ( ( SV187 = SV390 )
| ~ ( s_col @ SV187 @ SV390 @ SV555 ) )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV866 ) )
= $true )
| ( ( SV866 = SV555 )
= $true )
| ( ( s_r @ SV898 @ SV555 @ SV866 )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV898 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2770]) ).
thf(2865,plain,
! [SV942: $i,SV189: $i,SV952: $i] :
( ( ( s_t @ SV952 @ SV189 @ SV942 )
| ( s_t @ SV942 @ SV952 @ SV189 )
| ~ ( s_col @ SV189 @ SV942 @ SV952 )
| ( s_t @ SV189 @ SV942 @ SV952 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2771]) ).
thf(2866,plain,
! [SV953: $i,SV943: $i,SV189: $i] :
( ( ( s_col @ SV189 @ SV943 @ SV953 )
| ~ ( s_t @ SV189 @ SV943 @ SV953 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2772]) ).
thf(2867,plain,
! [SV391: $i,SV900: $i,SV867: $i,SV556: $i,SV190: $i] :
( ( ( s_e @ SV190 @ SV556 @ SV867 @ SV900 )
= $false )
| ( ( s_t @ SV190 @ SV391 @ SV556 )
= $false )
| ( ( s_t @ SV867 @ ( insert @ SV190 @ SV391 @ SV867 @ SV900 ) @ SV900 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2774]) ).
thf(2868,plain,
! [SV391: $i,SV901: $i,SV868: $i,SV556: $i,SV190: $i] :
( ( ( s_e @ SV190 @ SV556 @ SV868 @ SV901 )
= $false )
| ( ( s_t @ SV190 @ SV391 @ SV556 )
= $false )
| ( ( s_e3 @ SV190 @ SV391 @ SV556 @ SV868 @ ( insert @ SV190 @ SV391 @ SV868 @ SV901 ) @ SV901 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2775]) ).
thf(2869,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
| ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2776]) ).
thf(2870,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3054: $i,SY3055: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3054 @ SY3055 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SY3055 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2777]) ).
thf(2871,plain,
! [SV944: $i,SV933: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true )
| ( ( ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 )
| ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2778]) ).
thf(2872,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
| ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2779]) ).
thf(2873,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2780]) ).
thf(2874,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( SV687 = SV767 )
= $true )
| ( ( ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2781]) ).
thf(2875,plain,
! [SV394: $i,SV193: $i,SV559: $i,SV902: $i,SV869: $i] :
( ( ( s_t @ SV869 @ SV902 @ SV559 )
= $false )
| ( ( s_t @ SV193 @ SV394 @ SV559 )
= $false )
| ( ( s_t @ SV394 @ ( ip @ SV193 @ SV394 @ SV559 @ SV869 @ SV902 ) @ SV869 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2782]) ).
thf(2876,plain,
! [SV394: $i,SV193: $i,SV559: $i,SV903: $i,SV870: $i] :
( ( ( s_t @ SV870 @ SV903 @ SV559 )
= $false )
| ( ( s_t @ SV193 @ SV394 @ SV559 )
= $false )
| ( ( s_t @ SV903 @ ( ip @ SV193 @ SV394 @ SV559 @ SV870 @ SV903 ) @ SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2783]) ).
thf(2877,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2784]) ).
thf(2878,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2594: $i,SY2595: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2594 @ SY2595 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SY2594 @ SY2595 @ SV560 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2785]) ).
thf(2879,plain,
! [SV945: $i,SV934: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV934 @ SV945 ) )
= $true )
| ( ( SV560
!= ( g813 @ SV194 @ SV395 @ SV934 @ SV945 @ SV560 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2786]) ).
thf(2880,plain,
! [SV935: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ( le @ SV195 @ SV396 @ SV561 @ SV935 )
= $false )
| ( ( s_t @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SV935 ) @ SV935 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2787]) ).
thf(2881,plain,
! [SV936: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ( le @ SV195 @ SV396 @ SV561 @ SV936 )
= $false )
| ( ( s_e @ SV195 @ SV396 @ SV561 @ ( insert @ SV195 @ SV396 @ SV561 @ SV936 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2788]) ).
thf(2882,plain,
! [SV872: $i,SV920: $i,SV561: $i,SV396: $i,SV195: $i] :
( ( ( s_e @ SV195 @ SV396 @ SV561 @ SV920 )
= $false )
| ( ( s_t @ SV561 @ SV920 @ SV872 )
= $false )
| ( ( le @ SV195 @ SV396 @ SV561 @ SV872 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2789]) ).
thf(2883,plain,
! [SV921: $i,SV905: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ( ~ ( s_t @ SV196 @ SV397 @ SV562 ) )
= $true )
| ( ( ~ ( s_t @ SV688 @ SV905 @ SV562 ) )
= $true )
| ( ( ~ ( s_t @ SV196 @ SV921 @ SV688 ) )
= $true )
| ( ( s_t @ SV921 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV905 @ SV921 ) @ SV562 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2790]) ).
thf(2884,plain,
! [SV922: $i,SV906: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ( ~ ( s_t @ SV196 @ SV397 @ SV562 ) )
= $true )
| ( ( ~ ( s_t @ SV688 @ SV906 @ SV562 ) )
= $true )
| ( ( ~ ( s_t @ SV196 @ SV922 @ SV688 ) )
= $true )
| ( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV906 @ SV922 ) @ SV906 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2791]) ).
thf(2885,plain,
! [SV563: $i,SV197: $i,SV398: $i,SV907: $i,SV873: $i] :
( ( ( s_t @ SV873 @ SV907 @ SV398 )
= $false )
| ( ( s_t @ SV197 @ SV398 @ SV563 )
= $false )
| ( ( s_t @ SV197 @ ( op @ SV907 @ SV873 @ SV563 @ SV398 @ SV197 ) @ SV873 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2792]) ).
thf(2886,plain,
! [SV563: $i,SV197: $i,SV398: $i,SV908: $i,SV874: $i] :
( ( ( s_t @ SV874 @ SV908 @ SV398 )
= $false )
| ( ( s_t @ SV197 @ SV398 @ SV563 )
= $false )
| ( ( s_t @ SV563 @ SV908 @ ( op @ SV908 @ SV874 @ SV563 @ SV398 @ SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2793]) ).
thf(2887,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
| ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2794]) ).
thf(2888,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3064: $i,SY3065: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3064 @ SY3065 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SY3065 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2795]) ).
thf(2889,plain,
! [SV946: $i,SV937: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
= $true )
| ( ( ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SV946 )
| ~ ( s_e @ SV399 @ SV689 @ SV828 @ SV946 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2796]) ).
thf(2890,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2799]) ).
thf(2891,plain,
! [SV954: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY3132: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV954 @ SY3132 )
| ( s_m @ SY3132 @ SV954 @ SV772 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2800]) ).
thf(2892,plain,
! [SV925: $i,SV400: $i,SV772: $i,SV565: $i,SV938: $i,SV690: $i,SV201: $i] :
( ( ( ~ ( s_t @ SV201 @ SV690 @ SV938 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 )
| ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2801]) ).
thf(2893,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
| ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2802]) ).
thf(2894,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3080: $i,SY3081: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3080 @ SY3081 )
| ( s_e @ SV567 @ SV691 @ SY3080 @ SY3081 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2803]) ).
thf(2895,plain,
! [SV947: $i,SV939: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true )
| ( ( ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 )
| ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2804]) ).
thf(2896,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2805]) ).
thf(2897,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2805]) ).
thf(2898,plain,
! [SV955: $i,SV948: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV948 @ SV955 )
| ( s_e @ SV404 @ SV568 @ SV948 @ SV955 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2806]) ).
thf(2899,plain,
! [SV927: $i,SV568: $i,SV911: $i,SV692: $i,SV404: $i,SV207: $i] :
( ( ( ~ ( s_e @ SV207 @ SV404 @ SV692 @ SV911 ) )
= $true )
| ( ( ~ ( s_e @ SV207 @ SV568 @ SV692 @ SV927 ) )
= $true )
| ( ( ~ ( s_e @ SV404 @ SV568 @ SV911 @ SV927 ) )
= $true )
| ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV911 @ SV927 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2807]) ).
thf(2900,plain,
! [SV880: $i,SV838: $i,SV779: $i,SV694: $i,SV571: $i,SV406: $i,SV211: $i,SV4: $i] :
( ( ( ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
| ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 ) )
= $true )
| ( ( ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 ) )
= $true )
| ( ( ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2808]) ).
thf(2901,plain,
! [SV781: $i,SV411: $i,SV696: $i,SV576: $i,SV219: $i,SV12: $i] :
( ( ( s_e @ SV12 @ SV219 @ SV576 @ SV696 )
= $false )
| ( ( s_t @ SV12 @ SV219 @ SV411 )
= $false )
| ( ( s_t @ SV576 @ SV696 @ SV781 )
= $false )
| ( ( ~ ( s_e @ SV219 @ SV411 @ SV696 @ SV781 ) )
= $true )
| ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2809]) ).
thf(2902,plain,
! [SV580: $i,SV414: $i,SV782: $i,SV698: $i,SV223: $i,SV16: $i] :
( ( ( s_e @ SV16 @ SV223 @ SV698 @ SV782 )
= $false )
| ( ( s_t @ SV16 @ SV223 @ SV414 )
= $false )
| ( ( s_t @ SV580 @ SV698 @ SV782 )
= $false )
| ( ( ~ ( s_e @ SV223 @ SV414 @ SV580 @ SV698 ) )
= $true )
| ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2810]) ).
thf(2903,plain,
! [SV700: $i,SV237: $i,SV840: $i,SV589: $i,SV423: $i,SV30: $i] :
( ( ( s_e @ SV30 @ SV423 @ SV589 @ SV840 )
= $false )
| ( ( s_t @ SV30 @ SV237 @ SV423 )
= $false )
| ( ( s_t @ SV589 @ SV700 @ SV840 )
= $false )
| ( ( ~ ( s_e @ SV237 @ SV423 @ SV700 @ SV840 ) )
= $true )
| ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2811]) ).
thf(2904,plain,
! [SV883: $i,SV842: $i,SV601: $i,SV440: $i,SV787: $i,SV707: $i,SV256: $i,SV49: $i] :
( ( ( s_e @ SV49 @ SV256 @ SV707 @ SV787 )
= $false )
| ( ( le @ SV49 @ SV256 @ SV440 @ SV601 )
= $false )
| ( ( ~ ( s_e @ SV440 @ SV601 @ SV842 @ SV883 ) )
= $true )
| ( ( le @ SV707 @ SV787 @ SV842 @ SV883 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2813]) ).
thf(2905,plain,
! [SV789: $i,SV607: $i,SV455: $i,SV66: $i,SV273: $i,SV711: $i] :
( ( ( sameside @ SV711 @ SV273 @ SV66 )
= $false )
| ( ( SV455 = SV607 )
= $true )
| ( ( SV66 = SV273 )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV711 @ SV455 @ SV607 ) )
= $true )
| ( ( ~ ( sameside @ SV789 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2814]) ).
thf(2906,plain,
! [SV284: $i,SV77: $i,SV712: $i,SV614: $i,SV465: $i] :
( ( ( s_col @ SV465 @ SV614 @ SV712 )
= $false )
| ( ( s_col @ SV465 @ SV614 @ SV77 )
= $false )
| ( ( SV465 = SV614 )
= $true )
| ( ( SV77 = SV284 )
= $true )
| ( ( s_col @ SV465 @ SV614 @ SV284 )
= $false )
| ( ( s_col @ SV77 @ SV284 @ SV712 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2816]) ).
thf(2907,plain,
! [SV843: $i,SV790: $i,SV713: $i,SV615: $i,SV466: $i,SV285: $i,SV78: $i] :
( ( ( ( SV78 = SV285 )
| ( SV466 = SV615 )
| ~ ( s_col @ SV78 @ SV285 @ SV713 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV713 ) )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2817]) ).
thf(2908,plain,
! [SV791: $i,SV467: $i,SV616: $i,SV714: $i,SV80: $i,SV287: $i] :
( ( ( s_e @ SV287 @ SV80 @ SV714 @ SV616 )
= $false )
| ( ( sameside @ SV80 @ SV287 @ SV467 )
= $false )
| ( ( sameside @ SV616 @ SV714 @ SV791 )
= $false )
| ( ( ~ ( s_e @ SV287 @ SV467 @ SV714 @ SV791 ) )
= $true )
| ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2818]) ).
thf(2909,plain,
! [SV716: $i,SV101: $i,SV623: $i,SV481: $i,SV308: $i] :
( ( ( s_e @ SV308 @ SV481 @ SV623 @ SV101 )
= $false )
| ( ( SV308 = SV623 )
= $true )
| ( ( s_col @ SV101 @ SV308 @ SV481 )
= $true )
| ( ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
= $false )
| ( ( ~ ( s_col @ SV101 @ SV716 @ SV481 ) )
= $true )
| ( ( ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2819]) ).
thf(2910,plain,
! [SV846: $i,SV796: $i,SV719: $i,SV626: $i,SV484: $i,SV311: $i,SV104: $i] :
( ( ( ~ ( s_t @ SV104 @ SV311 @ SV484 ) )
= $true )
| ( ( ~ ( s_t @ SV626 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 ) )
= $true )
| ( ( ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2820]) ).
thf(2911,plain,
! [SV885: $i,SV847: $i,SV723: $i,SV631: $i,SV495: $i,SV324: $i,SV117: $i] :
( ( ( ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 )
| ~ ( s_col @ SV117 @ SV324 @ SV723 ) )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV847 ) )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2821]) ).
thf(2912,plain,
! [SV726: $i,SV500: $i,SV636: $i,SV329: $i,SV122: $i] :
( ( ( s_col @ SV122 @ SV329 @ SV636 )
= $false )
| ( ( SV122 = SV329 )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV500 )
= $false )
| ( ( SV636 = SV500 )
= $true )
| ( ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV726 )
= $true )
| ( ( ~ ( s_r @ SV726 @ SV500 @ SV636 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2822]) ).
thf(2913,plain,
! [SV727: $i,SV637: $i,SV501: $i,SV330: $i,SV123: $i] :
( ( ( perp @ SV123 @ SV330 @ SV501 @ SV637 )
= $false )
| ( ( s_col @ SV123 @ SV330 @ SV637 )
= $false )
| ( ( s_col @ SV123 @ SV330 @ SV501 )
= $true )
| ( ( s_col @ SV123 @ SV330 @ SV727 )
= $false )
| ( ( ~ ( perp @ SV123 @ SV330 @ SV501 @ SV727 ) )
= $true )
| ( ( SV637 = SV727 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2823]) ).
thf(2914,plain,
! [SV334: $i,SV127: $i,SV728: $i,SV641: $i,SV505: $i] :
( ( ( s_col @ SV505 @ SV641 @ SV728 )
= $false )
| ( ( s_col @ SV127 @ SV334 @ SV505 )
= $false )
| ( ( SV505 = SV641 )
= $true )
| ( ( SV127 = SV334 )
= $true )
| ( ( s_col @ SV127 @ SV334 @ SV641 )
= $false )
| ( ( s_col @ SV127 @ SV334 @ SV728 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2824]) ).
thf(2915,plain,
! [SV729: $i,SV335: $i,SV642: $i,SV506: $i,SV128: $i] :
( ( ( perp @ SV128 @ SV506 @ SV506 @ SV642 )
= $false )
| ( ( le @ SV128 @ SV335 @ SV506 @ SV642 )
= $false )
| ( ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
= $false )
| ( ( ~ ( s_t @ SV335 @ SV729 @ SV642 ) )
= $true )
| ( ( ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2825]) ).
thf(2916,plain,
! [SV848: $i,SV798: $i,SV730: $i,SV643: $i,SV507: $i,SV337: $i,SV130: $i] :
( ( ( ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
| ~ ( s_col @ SV337 @ SV507 @ SV730 ) )
= $true )
| ( ( ~ ( s_t @ SV130 @ SV730 @ SV643 ) )
= $true )
| ( ( ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(2917,plain,
! [SV849: $i,SV799: $i,SV731: $i,SV644: $i,SV508: $i,SV338: $i,SV131: $i] :
( ( ( ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
| ~ ( s_col @ SV338 @ SV508 @ SV731 ) )
= $true )
| ( ( ~ ( s_t @ SV131 @ SV731 @ SV644 ) )
= $true )
| ( ( ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2827]) ).
thf(2918,plain,
! [SV800: $i,SV732: $i,SV645: $i,SV509: $i,SV339: $i,SV132: $i] :
( ( ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
= $false )
| ( ( ~ ( perp @ SV645 @ SV509 @ SV339 @ SV509 ) )
= $true )
| ( ( ~ ( s_col @ SV339 @ SV509 @ SV732 ) )
= $true )
| ( ( ~ ( s_t @ SV132 @ SV732 @ SV645 ) )
= $true )
| ( ( ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(2919,plain,
! [SV850: $i,SV801: $i,SV733: $i,SV647: $i,SV511: $i,SV341: $i,SV134: $i] :
( ( ( s_col @ SV134 @ SV341 @ SV511 )
= $false )
| ( ( ~ ( s_col @ SV134 @ SV341 @ SV647 ) )
= $true )
| ( ( SV511 = SV647 )
= $true )
| ( ( SV134 = SV341 )
= $true )
| ( ( ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 ) )
= $true )
| ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2829]) ).
thf(2920,plain,
! [SV802: $i,SV734: $i,SV512: $i,SV648: $i,SV342: $i,SV135: $i] :
( ( ( s_col @ SV135 @ SV342 @ SV648 )
= $false )
| ( ( s_col @ SV135 @ SV342 @ SV512 )
= $false )
| ( ( SV512 = SV648 )
= $true )
| ( ( SV135 = SV342 )
= $true )
| ( ( ~ ( perp @ SV512 @ SV648 @ SV734 @ SV802 ) )
= $true )
| ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2830]) ).
thf(2921,plain,
! [SV343: $i,SV649: $i,SV513: $i,SV136: $i] :
( ( ( s_col @ SV136 @ SV513 @ SV649 )
= $false )
| ( ( SV136 = SV343 )
= $true )
| ( ( SV136 = SV513 )
= $true )
| ( ( SV343 = SV513 )
= $true )
| ( ( SV649 = SV513 )
= $true )
| ( ( SV136 = SV649 )
= $true )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV513 )
= $false )
| ( ( perp @ SV343 @ SV136 @ SV136 @ SV649 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2831]) ).
thf(2922,plain,
! [SV803: $i,SV735: $i,SV515: $i,SV651: $i,SV345: $i,SV138: $i] :
( ( ( s_col @ SV138 @ SV345 @ SV651 )
= $false )
| ( ( s_col @ SV138 @ SV345 @ SV515 )
= $false )
| ( ( SV515 = SV651 )
= $true )
| ( ( SV138 = SV345 )
= $true )
| ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
= $true )
| ( ( ~ ( perp @ SV138 @ SV345 @ SV735 @ SV803 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2832]) ).
thf(2923,plain,
! [SV851: $i,SV804: $i,SV737: $i,SV655: $i,SV519: $i,SV349: $i,SV142: $i] :
( ( ( ~ ( opposite @ SV142 @ SV349 @ SV519 @ SV655 ) )
= $true )
| ( ( ~ ( s_col @ SV349 @ SV519 @ SV737 ) )
= $true )
| ( ( ~ ( s_m @ SV142 @ SV737 @ SV655 ) )
= $true )
| ( ( ~ ( s_col @ SV349 @ SV519 @ SV804 ) )
= $true )
| ( ( ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2833]) ).
thf(2924,plain,
! [SV852: $i,SV805: $i,SV738: $i,SV656: $i,SV520: $i,SV350: $i,SV143: $i] :
( ( ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
= $false )
| ( ( ~ ( s_col @ SV350 @ SV520 @ SV738 ) )
= $true )
| ( ( ~ ( s_m @ SV143 @ SV738 @ SV656 ) )
= $true )
| ( ( ~ ( s_col @ SV350 @ SV520 @ SV805 ) )
= $true )
| ( ( ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(2925,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2835]) ).
thf(2926,plain,
! [SV887: $i,SV854: $i,SV808: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i] :
( ( ( ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2836]) ).
thf(2927,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i] :
( ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2837]) ).
thf(2928,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i] :
( ( ( ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 )
| ~ ( s_col @ SV355 @ SV525 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2838]) ).
thf(2929,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2839]) ).
thf(2930,plain,
! [SV371: $i,SV164: $i,SV752: $i,SV541: $i,SV674: $i] :
( ( ( sameside @ SV674 @ SV541 @ SV752 )
= $false )
| ( ( s_col @ SV164 @ SV371 @ SV541 )
= $false )
| ( ( SV164 = SV371 )
= $true )
| ( ( s_col @ SV674 @ SV752 @ SV541 )
= $false )
| ( ( s_col @ SV164 @ SV371 @ SV674 )
= $true )
| ( ( samesideline @ SV674 @ SV752 @ SV164 @ SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(2931,plain,
! [SV755: $i,SV681: $i,SV549: $i,SV381: $i,SV174: $i] :
( ( ( s_r @ SV174 @ SV381 @ SV549 )
= $false )
| ( ( ~ ( s_r @ SV681 @ SV381 @ SV755 ) )
= $true )
| ( ( ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 ) )
= $true )
| ( ( ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
= $true )
| ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2932,plain,
! [SV175: $i,SV682: $i,SV756: $i,SV550: $i,SV382: $i] :
( ( ( s_e @ SV382 @ SV550 @ SV382 @ SV756 )
= $false )
| ( ( s_r @ SV682 @ SV382 @ SV756 )
= $false )
| ( ( s_r @ SV175 @ SV382 @ SV550 )
= $false )
| ( ( s_e @ SV175 @ SV382 @ SV682 @ SV382 )
= $false )
| ( ( s_e @ SV175 @ SV550 @ SV682 @ SV756 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(2933,plain,
! [SV815: $i,SV551: $i,SV757: $i,SV683: $i,SV383: $i,SV176: $i] :
( ( ( s_e @ SV176 @ SV383 @ SV683 @ SV757 )
= $false )
| ( ( s_r @ SV176 @ SV383 @ SV551 )
= $false )
| ( ( s_r @ SV683 @ SV757 @ SV815 )
= $false )
| ( ( ~ ( s_e @ SV383 @ SV551 @ SV757 @ SV815 ) )
= $true )
| ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2845]) ).
thf(2934,plain,
! [SV183: $i] :
( ( ! [SY1511: $i] :
( ! [SY1512: $i] :
~ ( sameside @ SV183 @ SY1511 @ SY1512 )
| ( SV183 != SY1511 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2850]) ).
thf(2935,plain,
! [SV183: $i] :
( ( ! [SY1513: $i,SY1514: $i] :
( ~ ( sameside @ SV183 @ SY1513 @ SY1514 )
| ( SY1514 != SY1513 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2851]) ).
thf(2936,plain,
! [SV183: $i,SV949: $i,SV940: $i] :
( ( ( s_t @ SV940 @ SV949 @ SV183 )
= $true )
| ( ( ~ ( sameside @ SV183 @ SV940 @ SV949 )
| ( s_t @ SV940 @ SV183 @ SV949 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(2937,plain,
! [SV917: $i,SV183: $i,SV895: $i] :
( ( ( s_t @ SV895 @ SV183 @ SV917 )
= $false )
| ( ( SV183 = SV895 )
= $true )
| ( ( xb = SV895 )
= $true )
| ( ( sameside @ SV183 @ SV895 @ SV917 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2853]) ).
thf(2938,plain,
! [SV184: $i] :
( ( ! [SY1521: $i] :
( ! [SY1522: $i] :
~ ( sameside @ SV184 @ SY1521 @ SY1522 )
| ( SV184 != SY1521 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2854]) ).
thf(2939,plain,
! [SV184: $i] :
( ( ! [SY1523: $i,SY1524: $i] :
( ~ ( sameside @ SV184 @ SY1523 @ SY1524 )
| ( SY1524 != SY1523 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2855]) ).
thf(2940,plain,
! [SV950: $i,SV941: $i,SV184: $i] :
( ( ( ~ ( sameside @ SV184 @ SV941 @ SV950 ) )
= $true )
| ( ( ( c63 @ SV184 @ SV941 @ SV950 )
!= SV941 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(2941,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2857]) ).
thf(2942,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2857]) ).
thf(2943,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV388 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2858]) ).
thf(2944,plain,
! [SV685: $i,SV553: $i,SV951: $i,SV762: $i,SV185: $i,SV956: $i,SV388: $i] :
( ( ( ( SV388 = SV956 )
| ( SV185 = SV762 )
| ( SV951 = SV956 )
| ( SV951 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SV956 @ SV951 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2859]) ).
thf(2945,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) )
| ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2860]) ).
thf(2946,plain,
! [SV957: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SV957 )
| ~ ( s_col @ SV186 @ SV389 @ SV957 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2861]) ).
thf(2947,plain,
! [SV897: $i,SV865: $i,SV555: $i,SV390: $i,SV187: $i] :
( ( ( SV187 = SV390 )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV555 ) )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV865 ) )
= $true )
| ( ( SV865 = SV555 )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV897 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2863]) ).
thf(2948,plain,
! [SV898: $i,SV866: $i,SV555: $i,SV390: $i,SV187: $i] :
( ( ( SV187 = SV390 )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV555 ) )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV866 ) )
= $true )
| ( ( SV866 = SV555 )
= $true )
| ( ( s_r @ SV898 @ SV555 @ SV866 )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV898 @ SV555 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2864]) ).
thf(2949,plain,
! [SV942: $i,SV189: $i,SV952: $i] :
( ( ( s_t @ SV952 @ SV189 @ SV942 )
= $true )
| ( ( ( s_t @ SV942 @ SV952 @ SV189 )
| ~ ( s_col @ SV189 @ SV942 @ SV952 )
| ( s_t @ SV189 @ SV942 @ SV952 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2865]) ).
thf(2950,plain,
! [SV953: $i,SV943: $i,SV189: $i] :
( ( ( s_col @ SV189 @ SV943 @ SV953 )
= $true )
| ( ( ~ ( s_t @ SV189 @ SV943 @ SV953 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(2951,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
| ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2869]) ).
thf(2952,plain,
! [SV958: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3133: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV958 @ SY3133 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SY3133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2870]) ).
thf(2953,plain,
! [SV944: $i,SV686: $i,SV933: $i,SV827: $i,SV766: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(2954,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2872]) ).
thf(2955,plain,
! [SV558: $i,SV767: $i,SV687: $i,SV393: $i,SV192: $i] :
( ( ~ ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2872]) ).
thf(2956,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2873]) ).
thf(2957,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( SV192 = SV393 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV687 = SV767 )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2874]) ).
thf(2958,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
| ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2877]) ).
thf(2959,plain,
! [SV959: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY3134: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV959 @ SY3134 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SV959 @ SY3134 @ SV560 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2878]) ).
thf(2960,plain,
! [SV945: $i,SV934: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV934 @ SV945 )
= $false )
| ( ( SV560
!= ( g813 @ SV194 @ SV395 @ SV934 @ SV945 @ SV560 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2879]) ).
thf(2961,plain,
! [SV921: $i,SV905: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ( s_t @ SV196 @ SV397 @ SV562 )
= $false )
| ( ( ~ ( s_t @ SV688 @ SV905 @ SV562 ) )
= $true )
| ( ( ~ ( s_t @ SV196 @ SV921 @ SV688 ) )
= $true )
| ( ( s_t @ SV921 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV905 @ SV921 ) @ SV562 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2883]) ).
thf(2962,plain,
! [SV922: $i,SV906: $i,SV688: $i,SV562: $i,SV397: $i,SV196: $i] :
( ( ( s_t @ SV196 @ SV397 @ SV562 )
= $false )
| ( ( ~ ( s_t @ SV688 @ SV906 @ SV562 ) )
= $true )
| ( ( ~ ( s_t @ SV196 @ SV922 @ SV688 ) )
= $true )
| ( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV906 @ SV922 ) @ SV906 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2884]) ).
thf(2963,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
| ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2887]) ).
thf(2964,plain,
! [SV960: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3135: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV960 @ SY3135 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SY3135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2888]) ).
thf(2965,plain,
! [SV946: $i,SV689: $i,SV937: $i,SV828: $i,SV768: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 )
| ~ ( s_e @ SV198 @ SV689 @ SV768 @ SV946 ) )
= $true )
| ( ( ~ ( s_e @ SV399 @ SV689 @ SV828 @ SV946 ) )
= $true )
| ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2889]) ).
thf(2966,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2890]) ).
thf(2967,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2890]) ).
thf(2968,plain,
! [SV961: $i,SV954: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV954 @ SV961 )
| ( s_m @ SV961 @ SV954 @ SV772 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2891]) ).
thf(2969,plain,
! [SV925: $i,SV400: $i,SV772: $i,SV565: $i,SV938: $i,SV690: $i,SV201: $i] :
( ( ( ~ ( s_t @ SV201 @ SV690 @ SV938 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
| ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(2970,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
| ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2893]) ).
thf(2971,plain,
! [SV962: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3136: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV962 @ SY3136 )
| ( s_e @ SV567 @ SV691 @ SV962 @ SY3136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2894]) ).
thf(2972,plain,
! [SV947: $i,SV691: $i,SV939: $i,SV837: $i,SV777: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2895]) ).
thf(2973,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY2866: $i] :
( ! [SY2867: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2866 @ SY2867 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SY2866 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2896]) ).
thf(2974,plain,
! [SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY2868: $i,SY2869: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SY2868 @ SY2869 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY2869 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2897]) ).
thf(2975,plain,
! [SV955: $i,SV948: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV948 @ SV955 ) )
= $true )
| ( ( s_e @ SV404 @ SV568 @ SV948 @ SV955 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2898]) ).
thf(2976,plain,
! [SV927: $i,SV568: $i,SV911: $i,SV692: $i,SV404: $i,SV207: $i] :
( ( ( s_e @ SV207 @ SV404 @ SV692 @ SV911 )
= $false )
| ( ( ~ ( s_e @ SV207 @ SV568 @ SV692 @ SV927 ) )
= $true )
| ( ( ~ ( s_e @ SV404 @ SV568 @ SV911 @ SV927 ) )
= $true )
| ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV911 @ SV927 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2899]) ).
thf(2977,plain,
! [SV880: $i,SV838: $i,SV779: $i,SV694: $i,SV571: $i,SV406: $i,SV211: $i,SV4: $i] :
( ( ( ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
| ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 ) )
= $true )
| ( ( ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 ) )
= $true )
| ( ( ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 ) )
= $true )
| ( ( ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2900]) ).
thf(2978,plain,
! [SV12: $i,SV576: $i,SV781: $i,SV696: $i,SV411: $i,SV219: $i] :
( ( ( s_e @ SV219 @ SV411 @ SV696 @ SV781 )
= $false )
| ( ( s_t @ SV576 @ SV696 @ SV781 )
= $false )
| ( ( s_t @ SV12 @ SV219 @ SV411 )
= $false )
| ( ( s_e @ SV12 @ SV219 @ SV576 @ SV696 )
= $false )
| ( ( s_e @ SV12 @ SV411 @ SV576 @ SV781 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2901]) ).
thf(2979,plain,
! [SV16: $i,SV782: $i,SV698: $i,SV580: $i,SV414: $i,SV223: $i] :
( ( ( s_e @ SV223 @ SV414 @ SV580 @ SV698 )
= $false )
| ( ( s_t @ SV580 @ SV698 @ SV782 )
= $false )
| ( ( s_t @ SV16 @ SV223 @ SV414 )
= $false )
| ( ( s_e @ SV16 @ SV223 @ SV698 @ SV782 )
= $false )
| ( ( s_e @ SV16 @ SV414 @ SV580 @ SV782 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2902]) ).
thf(2980,plain,
! [SV30: $i,SV589: $i,SV840: $i,SV700: $i,SV423: $i,SV237: $i] :
( ( ( s_e @ SV237 @ SV423 @ SV700 @ SV840 )
= $false )
| ( ( s_t @ SV589 @ SV700 @ SV840 )
= $false )
| ( ( s_t @ SV30 @ SV237 @ SV423 )
= $false )
| ( ( s_e @ SV30 @ SV423 @ SV589 @ SV840 )
= $false )
| ( ( s_e @ SV30 @ SV237 @ SV589 @ SV700 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2903]) ).
thf(2981,plain,
! [SV787: $i,SV707: $i,SV256: $i,SV49: $i,SV883: $i,SV842: $i,SV601: $i,SV440: $i] :
( ( ( s_e @ SV440 @ SV601 @ SV842 @ SV883 )
= $false )
| ( ( le @ SV49 @ SV256 @ SV440 @ SV601 )
= $false )
| ( ( s_e @ SV49 @ SV256 @ SV707 @ SV787 )
= $false )
| ( ( le @ SV707 @ SV787 @ SV842 @ SV883 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2904]) ).
thf(2982,plain,
! [SV789: $i,SV66: $i,SV607: $i,SV455: $i,SV711: $i,SV273: $i] :
( ( ( s_e @ SV273 @ SV711 @ SV455 @ SV607 )
= $false )
| ( ( SV66 = SV273 )
= $true )
| ( ( SV455 = SV607 )
= $true )
| ( ( sameside @ SV711 @ SV273 @ SV66 )
= $false )
| ( ( ~ ( sameside @ SV789 @ SV273 @ SV66 ) )
= $true )
| ( ( ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(2983,plain,
! [SV843: $i,SV790: $i,SV713: $i,SV615: $i,SV466: $i,SV285: $i,SV78: $i] :
( ( ( ( SV78 = SV285 )
| ( SV466 = SV615 ) )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV713 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV713 ) )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2907]) ).
thf(2984,plain,
! [SV80: $i,SV616: $i,SV791: $i,SV714: $i,SV467: $i,SV287: $i] :
( ( ( s_e @ SV287 @ SV467 @ SV714 @ SV791 )
= $false )
| ( ( sameside @ SV616 @ SV714 @ SV791 )
= $false )
| ( ( sameside @ SV80 @ SV287 @ SV467 )
= $false )
| ( ( s_e @ SV287 @ SV80 @ SV714 @ SV616 )
= $false )
| ( ( s_e @ SV80 @ SV467 @ SV616 @ SV791 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2908]) ).
thf(2985,plain,
! [SV623: $i,SV308: $i,SV481: $i,SV716: $i,SV101: $i] :
( ( ( s_col @ SV101 @ SV716 @ SV481 )
= $false )
| ( ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
= $false )
| ( ( s_col @ SV101 @ SV308 @ SV481 )
= $true )
| ( ( SV308 = SV623 )
= $true )
| ( ( s_e @ SV308 @ SV481 @ SV623 @ SV101 )
= $false )
| ( ( ~ ( s_col @ SV308 @ SV716 @ SV623 ) )
= $true )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2909]) ).
thf(2986,plain,
! [SV846: $i,SV796: $i,SV719: $i,SV626: $i,SV484: $i,SV311: $i,SV104: $i] :
( ( ( s_t @ SV104 @ SV311 @ SV484 )
= $false )
| ( ( ~ ( s_t @ SV626 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 ) )
= $true )
| ( ( ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2910]) ).
thf(2987,plain,
! [SV885: $i,SV847: $i,SV723: $i,SV631: $i,SV495: $i,SV324: $i,SV117: $i] :
( ( ( ( SV117 = SV324 )
| ( SV495 = SV631 )
| ~ ( s_col @ SV495 @ SV631 @ SV723 ) )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV723 ) )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV847 ) )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2911]) ).
thf(2988,plain,
! [SV329: $i,SV122: $i,SV636: $i,SV500: $i,SV726: $i] :
( ( ( s_r @ SV726 @ SV500 @ SV636 )
= $false )
| ( ( s_col @ SV122 @ SV329 @ SV726 )
= $true )
| ( ( perp @ SV122 @ SV329 @ SV726 @ SV500 )
= $true )
| ( ( SV636 = SV500 )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV500 )
= $false )
| ( ( SV122 = SV329 )
= $true )
| ( ( s_col @ SV122 @ SV329 @ SV636 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2912]) ).
thf(2989,plain,
! [SV637: $i,SV727: $i,SV501: $i,SV330: $i,SV123: $i] :
( ( ( perp @ SV123 @ SV330 @ SV501 @ SV727 )
= $false )
| ( ( s_col @ SV123 @ SV330 @ SV727 )
= $false )
| ( ( s_col @ SV123 @ SV330 @ SV501 )
= $true )
| ( ( s_col @ SV123 @ SV330 @ SV637 )
= $false )
| ( ( perp @ SV123 @ SV330 @ SV501 @ SV637 )
= $false )
| ( ( SV637 = SV727 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2913]) ).
thf(2990,plain,
! [SV506: $i,SV128: $i,SV642: $i,SV729: $i,SV335: $i] :
( ( ( s_t @ SV335 @ SV729 @ SV642 )
= $false )
| ( ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
= $false )
| ( ( le @ SV128 @ SV335 @ SV506 @ SV642 )
= $false )
| ( ( perp @ SV128 @ SV506 @ SV506 @ SV642 )
= $false )
| ( ( ~ ( s_col @ SV128 @ SV506 @ SV729 ) )
= $true )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2915]) ).
thf(2991,plain,
! [SV848: $i,SV798: $i,SV730: $i,SV643: $i,SV507: $i,SV337: $i,SV130: $i] :
( ( ( ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
| ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 ) )
= $true )
| ( ( ~ ( s_col @ SV337 @ SV507 @ SV730 ) )
= $true )
| ( ( ~ ( s_t @ SV130 @ SV730 @ SV643 ) )
= $true )
| ( ( ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2916]) ).
thf(2992,plain,
! [SV849: $i,SV799: $i,SV731: $i,SV644: $i,SV508: $i,SV338: $i,SV131: $i] :
( ( ( ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
| ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 ) )
= $true )
| ( ( ~ ( s_col @ SV338 @ SV508 @ SV731 ) )
= $true )
| ( ( ~ ( s_t @ SV131 @ SV731 @ SV644 ) )
= $true )
| ( ( ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2917]) ).
thf(2993,plain,
! [SV800: $i,SV732: $i,SV132: $i,SV339: $i,SV509: $i,SV645: $i] :
( ( ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
= $false )
| ( ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
= $false )
| ( ( ~ ( s_col @ SV339 @ SV509 @ SV732 ) )
= $true )
| ( ( ~ ( s_t @ SV132 @ SV732 @ SV645 ) )
= $true )
| ( ( ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2918]) ).
thf(2994,plain,
! [SV850: $i,SV801: $i,SV733: $i,SV511: $i,SV647: $i,SV341: $i,SV134: $i] :
( ( ( s_col @ SV134 @ SV341 @ SV647 )
= $false )
| ( ( s_col @ SV134 @ SV341 @ SV511 )
= $false )
| ( ( SV511 = SV647 )
= $true )
| ( ( SV134 = SV341 )
= $true )
| ( ( ~ ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 ) )
= $true )
| ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2919]) ).
thf(2995,plain,
! [SV342: $i,SV135: $i,SV802: $i,SV734: $i,SV648: $i,SV512: $i] :
( ( ( perp @ SV512 @ SV648 @ SV734 @ SV802 )
= $false )
| ( ( SV135 = SV342 )
= $true )
| ( ( SV512 = SV648 )
= $true )
| ( ( s_col @ SV135 @ SV342 @ SV512 )
= $false )
| ( ( s_col @ SV135 @ SV342 @ SV648 )
= $false )
| ( ( perp @ SV135 @ SV342 @ SV734 @ SV802 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2920]) ).
thf(2996,plain,
! [SV651: $i,SV515: $i,SV803: $i,SV735: $i,SV345: $i,SV138: $i] :
( ( ( perp @ SV138 @ SV345 @ SV735 @ SV803 )
= $false )
| ( ( perp @ SV515 @ SV651 @ SV735 @ SV803 )
= $true )
| ( ( SV138 = SV345 )
= $true )
| ( ( SV515 = SV651 )
= $true )
| ( ( s_col @ SV138 @ SV345 @ SV515 )
= $false )
| ( ( s_col @ SV138 @ SV345 @ SV651 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2922]) ).
thf(2997,plain,
! [SV851: $i,SV804: $i,SV737: $i,SV655: $i,SV519: $i,SV349: $i,SV142: $i] :
( ( ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
= $false )
| ( ( ~ ( s_col @ SV349 @ SV519 @ SV737 ) )
= $true )
| ( ( ~ ( s_m @ SV142 @ SV737 @ SV655 ) )
= $true )
| ( ( ~ ( s_col @ SV349 @ SV519 @ SV804 ) )
= $true )
| ( ( ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2923]) ).
thf(2998,plain,
! [SV852: $i,SV805: $i,SV656: $i,SV143: $i,SV738: $i,SV520: $i,SV350: $i] :
( ( ( s_col @ SV350 @ SV520 @ SV738 )
= $false )
| ( ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
= $false )
| ( ( ~ ( s_m @ SV143 @ SV738 @ SV656 ) )
= $true )
| ( ( ~ ( s_col @ SV350 @ SV520 @ SV805 ) )
= $true )
| ( ( ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2924]) ).
thf(2999,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 )
| ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2925]) ).
thf(3000,plain,
! [SV887: $i,SV854: $i,SV808: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i] :
( ( ( ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 )
| ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(3001,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i] :
( ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 )
| ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2927]) ).
thf(3002,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i] :
( ( ( ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 )
| ~ ( s_col @ SV355 @ SV525 @ SV742 ) )
= $true )
| ( ( ~ ( s_col @ SV355 @ SV525 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2928]) ).
thf(3003,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 )
| ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2929]) ).
thf(3004,plain,
! [SV549: $i,SV174: $i,SV755: $i,SV381: $i,SV681: $i] :
( ( ( s_r @ SV681 @ SV381 @ SV755 )
= $false )
| ( ( s_r @ SV174 @ SV381 @ SV549 )
= $false )
| ( ( ~ ( s_e @ SV174 @ SV381 @ SV681 @ SV381 ) )
= $true )
| ( ( ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
= $true )
| ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2931]) ).
thf(3005,plain,
! [SV176: $i,SV683: $i,SV815: $i,SV757: $i,SV551: $i,SV383: $i] :
( ( ( s_e @ SV383 @ SV551 @ SV757 @ SV815 )
= $false )
| ( ( s_r @ SV683 @ SV757 @ SV815 )
= $false )
| ( ( s_r @ SV176 @ SV383 @ SV551 )
= $false )
| ( ( s_e @ SV176 @ SV383 @ SV683 @ SV757 )
= $false )
| ( ( s_e @ SV176 @ SV551 @ SV683 @ SV815 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2933]) ).
thf(3006,plain,
! [SV963: $i,SV183: $i] :
( ( ! [SY3137: $i] :
~ ( sameside @ SV183 @ SV963 @ SY3137 )
| ( SV183 != SV963 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2934]) ).
thf(3007,plain,
! [SV964: $i,SV183: $i] :
( ( ! [SY3138: $i] :
( ~ ( sameside @ SV183 @ SV964 @ SY3138 )
| ( SY3138 != SV964 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2935]) ).
thf(3008,plain,
! [SV949: $i,SV940: $i,SV183: $i] :
( ( ( ~ ( sameside @ SV183 @ SV940 @ SV949 ) )
= $true )
| ( ( s_t @ SV940 @ SV183 @ SV949 )
= $true )
| ( ( s_t @ SV940 @ SV949 @ SV183 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2936]) ).
thf(3009,plain,
! [SV965: $i,SV184: $i] :
( ( ! [SY3139: $i] :
~ ( sameside @ SV184 @ SV965 @ SY3139 )
| ( SV184 != SV965 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2938]) ).
thf(3010,plain,
! [SV966: $i,SV184: $i] :
( ( ! [SY3140: $i] :
( ~ ( sameside @ SV184 @ SV966 @ SY3140 )
| ( SY3140 != SV966 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2939]) ).
thf(3011,plain,
! [SV950: $i,SV941: $i,SV184: $i] :
( ( ( sameside @ SV184 @ SV941 @ SV950 )
= $false )
| ( ( ( c63 @ SV184 @ SV941 @ SV950 )
!= SV941 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2940]) ).
thf(3012,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2941]) ).
thf(3013,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ~ ( s_col @ SV553 @ SV685 @ SV185 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2942]) ).
thf(3014,plain,
! [SV185: $i,SV388: $i,SV685: $i,SV553: $i] :
( ( ( s_col @ SV553 @ SV685 @ SV388 )
= $false )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(3015,plain,
! [SV685: $i,SV553: $i,SV951: $i,SV762: $i,SV185: $i,SV956: $i,SV388: $i] :
( ( ( SV388 = SV956 )
= $true )
| ( ( ( SV185 = SV762 )
| ( SV951 = SV956 )
| ( SV951 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SV956 @ SV951 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2944]) ).
thf(3016,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2945]) ).
thf(3017,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ~ ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2945]) ).
thf(3018,plain,
! [SV957: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SV957 ) )
= $true )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV957 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2946]) ).
thf(3019,plain,
! [SV897: $i,SV865: $i,SV555: $i,SV390: $i,SV187: $i] :
( ( ( s_col @ SV187 @ SV390 @ SV555 )
= $false )
| ( ( SV187 = SV390 )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV865 ) )
= $true )
| ( ( SV865 = SV555 )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV897 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2947]) ).
thf(3020,plain,
! [SV898: $i,SV866: $i,SV555: $i,SV390: $i,SV187: $i] :
( ( ( s_col @ SV187 @ SV390 @ SV555 )
= $false )
| ( ( SV187 = SV390 )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV866 ) )
= $true )
| ( ( SV866 = SV555 )
= $true )
| ( ( s_r @ SV898 @ SV555 @ SV866 )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV898 @ SV555 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2948]) ).
thf(3021,plain,
! [SV189: $i,SV952: $i,SV942: $i] :
( ( ( s_t @ SV942 @ SV952 @ SV189 )
= $true )
| ( ( ~ ( s_col @ SV189 @ SV942 @ SV952 )
| ( s_t @ SV189 @ SV942 @ SV952 ) )
= $true )
| ( ( s_t @ SV952 @ SV189 @ SV942 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2949]) ).
thf(3022,plain,
! [SV953: $i,SV943: $i,SV189: $i] :
( ( ( s_t @ SV189 @ SV943 @ SV953 )
= $false )
| ( ( s_col @ SV189 @ SV943 @ SV953 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2950]) ).
thf(3023,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2951]) ).
thf(3024,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2951]) ).
thf(3025,plain,
! [SV967: $i,SV958: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV958 @ SV967 )
| ( s_e @ SV392 @ SV686 @ SV827 @ SV967 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2952]) ).
thf(3026,plain,
! [SV944: $i,SV686: $i,SV933: $i,SV827: $i,SV766: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
| ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(3027,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2954]) ).
thf(3028,plain,
! [SV558: $i,SV767: $i,SV687: $i,SV393: $i,SV192: $i] :
( ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
| ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2955]) ).
thf(3029,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3030,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( s_col @ SV192 @ SV393 @ SV558 )
= $false )
| ( ( SV687 = SV767 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV192 = SV393 )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2957]) ).
thf(3031,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2958]) ).
thf(3032,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2958]) ).
thf(3033,plain,
! [SV968: $i,SV959: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV959 @ SV968 )
| ( SV560
!= ( f813 @ SV194 @ SV395 @ SV959 @ SV968 @ SV560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2959]) ).
thf(3034,plain,
! [SV945: $i,SV934: $i,SV395: $i,SV194: $i,SV560: $i] :
( ( ( SV560
= ( g813 @ SV194 @ SV395 @ SV934 @ SV945 @ SV560 ) )
= $false )
| ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV934 @ SV945 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3035,plain,
! [SV921: $i,SV397: $i,SV196: $i,SV562: $i,SV905: $i,SV688: $i] :
( ( ( s_t @ SV688 @ SV905 @ SV562 )
= $false )
| ( ( s_t @ SV196 @ SV397 @ SV562 )
= $false )
| ( ( ~ ( s_t @ SV196 @ SV921 @ SV688 ) )
= $true )
| ( ( s_t @ SV921 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV905 @ SV921 ) @ SV562 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(3036,plain,
! [SV922: $i,SV397: $i,SV196: $i,SV562: $i,SV906: $i,SV688: $i] :
( ( ( s_t @ SV688 @ SV906 @ SV562 )
= $false )
| ( ( s_t @ SV196 @ SV397 @ SV562 )
= $false )
| ( ( ~ ( s_t @ SV196 @ SV922 @ SV688 ) )
= $true )
| ( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV906 @ SV922 ) @ SV906 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3037,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2963]) ).
thf(3038,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2963]) ).
thf(3039,plain,
! [SV969: $i,SV960: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV960 @ SV969 )
| ( s_e @ SV399 @ SV689 @ SV828 @ SV969 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2964]) ).
thf(3040,plain,
! [SV946: $i,SV689: $i,SV937: $i,SV828: $i,SV768: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ~ ( s_col @ SV198 @ SV399 @ SV564 )
| ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 ) )
= $true )
| ( ( ~ ( s_e @ SV198 @ SV689 @ SV768 @ SV946 ) )
= $true )
| ( ( ~ ( s_e @ SV399 @ SV689 @ SV828 @ SV946 ) )
= $true )
| ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2965]) ).
thf(3041,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2966]) ).
thf(3042,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 )
| ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2967]) ).
thf(3043,plain,
! [SV961: $i,SV954: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV954 @ SV961 ) )
= $true )
| ( ( s_m @ SV961 @ SV954 @ SV772 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2968]) ).
thf(3044,plain,
! [SV925: $i,SV400: $i,SV772: $i,SV565: $i,SV938: $i,SV690: $i,SV201: $i] :
( ( ( ~ ( s_t @ SV201 @ SV690 @ SV938 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 )
| ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) )
= $true )
| ( ( ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2969]) ).
thf(3045,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2970]) ).
thf(3046,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2970]) ).
thf(3047,plain,
! [SV970: $i,SV962: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV962 @ SV970 )
| ( s_e @ SV567 @ SV691 @ SV962 @ SV970 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2971]) ).
thf(3048,plain,
! [SV947: $i,SV691: $i,SV939: $i,SV837: $i,SV777: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
| ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2972]) ).
thf(3049,plain,
! [SV971: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY3141: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV971 @ SY3141 )
| ( s_e @ SV207 @ SV404 @ SV692 @ SV971 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2973]) ).
thf(3050,plain,
! [SV972: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ! [SY3142: $i] :
( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV972 @ SY3142 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SY3142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2974]) ).
thf(3051,plain,
! [SV955: $i,SV948: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV948 @ SV955 )
= $false )
| ( ( s_e @ SV404 @ SV568 @ SV948 @ SV955 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(3052,plain,
! [SV911: $i,SV404: $i,SV927: $i,SV692: $i,SV568: $i,SV207: $i] :
( ( ( s_e @ SV207 @ SV568 @ SV692 @ SV927 )
= $false )
| ( ( s_e @ SV207 @ SV404 @ SV692 @ SV911 )
= $false )
| ( ( ~ ( s_e @ SV404 @ SV568 @ SV911 @ SV927 ) )
= $true )
| ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV911 @ SV927 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(3053,plain,
! [SV880: $i,SV838: $i,SV779: $i,SV694: $i,SV571: $i,SV406: $i,SV211: $i,SV4: $i] :
( ( ( ~ ( s_e @ SV4 @ SV211 @ SV406 @ SV571 ) )
= $true )
| ( ( ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 ) )
= $true )
| ( ( ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 ) )
= $true )
| ( ( ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 ) )
= $true )
| ( ( ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2977]) ).
thf(3054,plain,
! [SV607: $i,SV455: $i,SV711: $i,SV66: $i,SV273: $i,SV789: $i] :
( ( ( sameside @ SV789 @ SV273 @ SV66 )
= $false )
| ( ( sameside @ SV711 @ SV273 @ SV66 )
= $false )
| ( ( SV455 = SV607 )
= $true )
| ( ( SV66 = SV273 )
= $true )
| ( ( s_e @ SV273 @ SV711 @ SV455 @ SV607 )
= $false )
| ( ( ~ ( s_e @ SV273 @ SV789 @ SV455 @ SV607 ) )
= $true )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3055,plain,
! [SV843: $i,SV790: $i,SV713: $i,SV615: $i,SV466: $i,SV285: $i,SV78: $i] :
( ( ( SV78 = SV285 )
= $true )
| ( ( SV466 = SV615 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV713 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV713 ) )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2983]) ).
thf(3056,plain,
! [SV101: $i,SV481: $i,SV623: $i,SV716: $i,SV308: $i] :
( ( ( s_col @ SV308 @ SV716 @ SV623 )
= $false )
| ( ( s_e @ SV308 @ SV481 @ SV623 @ SV101 )
= $false )
| ( ( SV308 = SV623 )
= $true )
| ( ( s_col @ SV101 @ SV308 @ SV481 )
= $true )
| ( ( s_e @ SV101 @ SV308 @ SV481 @ SV623 )
= $false )
| ( ( s_col @ SV101 @ SV716 @ SV481 )
= $false )
| ( ( s_m @ SV101 @ SV716 @ SV481 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2985]) ).
thf(3057,plain,
! [SV846: $i,SV796: $i,SV484: $i,SV104: $i,SV719: $i,SV311: $i,SV626: $i] :
( ( ( s_t @ SV626 @ SV311 @ SV719 )
= $false )
| ( ( s_t @ SV104 @ SV311 @ SV484 )
= $false )
| ( ( ~ ( s_e @ SV311 @ SV104 @ SV311 @ SV626 ) )
= $true )
| ( ( ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(3058,plain,
! [SV885: $i,SV847: $i,SV723: $i,SV631: $i,SV495: $i,SV324: $i,SV117: $i] :
( ( ( ( SV117 = SV324 )
| ( SV495 = SV631 ) )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV723 ) )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV723 ) )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV847 ) )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2987]) ).
thf(3059,plain,
! [SV335: $i,SV642: $i,SV729: $i,SV506: $i,SV128: $i] :
( ( ( s_col @ SV128 @ SV506 @ SV729 )
= $false )
| ( ( perp @ SV128 @ SV506 @ SV506 @ SV642 )
= $false )
| ( ( le @ SV128 @ SV335 @ SV506 @ SV642 )
= $false )
| ( ( perp @ SV128 @ SV506 @ SV128 @ SV335 )
= $false )
| ( ( s_t @ SV335 @ SV729 @ SV642 )
= $false )
| ( ( s_m @ SV128 @ ( midpointAux @ SV128 @ SV506 @ SV335 @ SV642 @ SV729 ) @ SV506 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3060,plain,
! [SV848: $i,SV798: $i,SV730: $i,SV643: $i,SV507: $i,SV337: $i,SV130: $i] :
( ( ( ~ ( perp @ SV130 @ SV337 @ SV337 @ SV507 ) )
= $true )
| ( ( ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 ) )
= $true )
| ( ( ~ ( s_col @ SV337 @ SV507 @ SV730 ) )
= $true )
| ( ( ~ ( s_t @ SV130 @ SV730 @ SV643 ) )
= $true )
| ( ( ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2991]) ).
thf(3061,plain,
! [SV849: $i,SV799: $i,SV731: $i,SV644: $i,SV508: $i,SV338: $i,SV131: $i] :
( ( ( ~ ( perp @ SV131 @ SV338 @ SV338 @ SV508 ) )
= $true )
| ( ( ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 ) )
= $true )
| ( ( ~ ( s_col @ SV338 @ SV508 @ SV731 ) )
= $true )
| ( ( ~ ( s_t @ SV131 @ SV731 @ SV644 ) )
= $true )
| ( ( ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2992]) ).
thf(3062,plain,
! [SV800: $i,SV645: $i,SV132: $i,SV732: $i,SV509: $i,SV339: $i] :
( ( ( s_col @ SV339 @ SV509 @ SV732 )
= $false )
| ( ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
= $false )
| ( ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
= $false )
| ( ( ~ ( s_t @ SV132 @ SV732 @ SV645 ) )
= $true )
| ( ( ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3063,plain,
! [SV341: $i,SV134: $i,SV850: $i,SV801: $i,SV733: $i,SV647: $i,SV511: $i] :
( ( ( perpAt @ SV511 @ SV647 @ SV733 @ SV801 @ SV850 )
= $false )
| ( ( SV134 = SV341 )
= $true )
| ( ( SV511 = SV647 )
= $true )
| ( ( s_col @ SV134 @ SV341 @ SV511 )
= $false )
| ( ( s_col @ SV134 @ SV341 @ SV647 )
= $false )
| ( ( perpAt @ SV134 @ SV341 @ SV733 @ SV801 @ SV850 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3064,plain,
! [SV851: $i,SV804: $i,SV655: $i,SV142: $i,SV737: $i,SV519: $i,SV349: $i] :
( ( ( s_col @ SV349 @ SV519 @ SV737 )
= $false )
| ( ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
= $false )
| ( ( ~ ( s_m @ SV142 @ SV737 @ SV655 ) )
= $true )
| ( ( ~ ( s_col @ SV349 @ SV519 @ SV804 ) )
= $true )
| ( ( ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2997]) ).
thf(3065,plain,
! [SV852: $i,SV805: $i,SV520: $i,SV350: $i,SV656: $i,SV738: $i,SV143: $i] :
( ( ( s_m @ SV143 @ SV738 @ SV656 )
= $false )
| ( ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
= $false )
| ( ( s_col @ SV350 @ SV520 @ SV738 )
= $false )
| ( ( ~ ( s_col @ SV350 @ SV520 @ SV805 ) )
= $true )
| ( ( ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2998]) ).
thf(3066,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 )
| ~ ( s_col @ SV352 @ SV522 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2999]) ).
thf(3067,plain,
! [SV887: $i,SV854: $i,SV808: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i] :
( ( ( ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 )
| ~ ( s_col @ SV353 @ SV523 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3000]) ).
thf(3068,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i] :
( ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 )
| ~ ( s_col @ SV354 @ SV524 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3001]) ).
thf(3069,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i] :
( ( ( ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
| ( SV355 = SV525 ) )
= $true )
| ( ( ~ ( s_col @ SV355 @ SV525 @ SV742 ) )
= $true )
| ( ( ~ ( s_col @ SV355 @ SV525 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3002]) ).
thf(3070,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 )
| ~ ( s_col @ SV356 @ SV526 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3003]) ).
thf(3071,plain,
! [SV755: $i,SV549: $i,SV681: $i,SV381: $i,SV174: $i] :
( ( ( s_e @ SV174 @ SV381 @ SV681 @ SV381 )
= $false )
| ( ( s_r @ SV174 @ SV381 @ SV549 )
= $false )
| ( ( s_r @ SV681 @ SV381 @ SV755 )
= $false )
| ( ( ~ ( s_e @ SV381 @ SV549 @ SV381 @ SV755 ) )
= $true )
| ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
= $true )
| ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3004]) ).
thf(3072,plain,
! [SV963: $i,SV183: $i] :
( ( ( ! [SY3137: $i] :
~ ( sameside @ SV183 @ SV963 @ SY3137 ) )
= $true )
| ( ( SV183 != SV963 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3006]) ).
thf(3073,plain,
! [SV973: $i,SV964: $i,SV183: $i] :
( ( ~ ( sameside @ SV183 @ SV964 @ SV973 )
| ( SV973 != SV964 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3007]) ).
thf(3074,plain,
! [SV949: $i,SV940: $i,SV183: $i] :
( ( ( sameside @ SV183 @ SV940 @ SV949 )
= $false )
| ( ( s_t @ SV940 @ SV183 @ SV949 )
= $true )
| ( ( s_t @ SV940 @ SV949 @ SV183 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3075,plain,
! [SV965: $i,SV184: $i] :
( ( ( ! [SY3139: $i] :
~ ( sameside @ SV184 @ SV965 @ SY3139 ) )
= $true )
| ( ( SV184 != SV965 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3009]) ).
thf(3076,plain,
! [SV974: $i,SV966: $i,SV184: $i] :
( ( ~ ( sameside @ SV184 @ SV966 @ SV974 )
| ( SV974 != SV966 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3010]) ).
thf(3077,plain,
! [SV950: $i,SV941: $i,SV184: $i] :
( ( ( ( c63 @ SV184 @ SV941 @ SV950 )
= SV941 )
= $false )
| ( ( sameside @ SV184 @ SV941 @ SV950 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3011]) ).
thf(3078,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3012]) ).
thf(3079,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3013]) ).
thf(3080,plain,
! [SV388: $i,SV685: $i,SV553: $i,SV956: $i,SV951: $i,SV762: $i,SV185: $i] :
( ( ( SV185 = SV762 )
= $true )
| ( ( ( SV951 = SV956 )
| ( SV951 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SV956 @ SV951 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3015]) ).
thf(3081,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ! [SY2543: $i] :
( ( opposite @ SV554 @ SV186 @ SV389 @ SY2543 )
| ! [SY2544: $i] :
( ( s_col @ SV186 @ SV389 @ SY2543 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY2544 @ SY2543 )
| ~ ( s_col @ SV186 @ SV389 @ SY2544 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3016]) ).
thf(3082,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 )
| ~ ( s_col @ SV186 @ SV389 @ SV554 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3017]) ).
thf(3083,plain,
! [SV957: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( opposite @ SV554 @ SV186 @ SV389 @ SV957 )
= $false )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV957 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3084,plain,
! [SV897: $i,SV555: $i,SV865: $i,SV390: $i,SV187: $i] :
( ( ( s_col @ SV187 @ SV390 @ SV865 )
= $false )
| ( ( SV187 = SV390 )
= $true )
| ( ( s_col @ SV187 @ SV390 @ SV555 )
= $false )
| ( ( SV865 = SV555 )
= $true )
| ( ( ~ ( s_col @ SV187 @ SV390 @ SV897 ) )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3019]) ).
thf(3085,plain,
! [SV898: $i,SV555: $i,SV866: $i,SV390: $i,SV187: $i] :
( ( ( s_col @ SV187 @ SV390 @ SV866 )
= $false )
| ( ( SV187 = SV390 )
= $true )
| ( ( s_col @ SV187 @ SV390 @ SV555 )
= $false )
| ( ( SV866 = SV555 )
= $true )
| ( ( s_r @ SV898 @ SV555 @ SV866 )
= $true )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV898 @ SV555 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3086,plain,
! [SV952: $i,SV942: $i,SV189: $i] :
( ( ( ~ ( s_col @ SV189 @ SV942 @ SV952 ) )
= $true )
| ( ( s_t @ SV189 @ SV942 @ SV952 )
= $true )
| ( ( s_t @ SV942 @ SV952 @ SV189 )
= $true )
| ( ( s_t @ SV952 @ SV189 @ SV942 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3021]) ).
thf(3087,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3023]) ).
thf(3088,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3052: $i,SY3053: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3052 @ SY3053 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3053 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3024]) ).
thf(3089,plain,
! [SV967: $i,SV958: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV958 @ SV967 ) )
= $true )
| ( ( s_e @ SV392 @ SV686 @ SV827 @ SV967 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3025]) ).
thf(3090,plain,
! [SV944: $i,SV686: $i,SV933: $i,SV827: $i,SV766: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SV933 )
| ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3026]) ).
thf(3091,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
| ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3027]) ).
thf(3092,plain,
! [SV558: $i,SV767: $i,SV687: $i,SV393: $i,SV192: $i] :
( ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 )
| ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3028]) ).
thf(3093,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( SV687 = SV767 )
= $true )
| ( ( ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3094,plain,
! [SV393: $i,SV192: $i,SV558: $i,SV767: $i,SV687: $i] :
( ( ( s_col @ SV687 @ SV767 @ SV558 )
= $false )
| ( ( SV192 = SV393 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV687 = SV767 )
= $true )
| ( ( s_col @ SV192 @ SV393 @ SV558 )
= $false )
| ( ( ~ ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3030]) ).
thf(3095,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3031]) ).
thf(3096,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2592: $i,SY2593: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2592 @ SY2593 )
| ( s_col @ SY2592 @ SY2593 @ ( g813 @ SV194 @ SV395 @ SY2592 @ SY2593 @ SV560 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3032]) ).
thf(3097,plain,
! [SV968: $i,SV959: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV959 @ SV968 ) )
= $true )
| ( ( SV560
!= ( f813 @ SV194 @ SV395 @ SV959 @ SV968 @ SV560 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3033]) ).
thf(3098,plain,
! [SV905: $i,SV562: $i,SV397: $i,SV688: $i,SV921: $i,SV196: $i] :
( ( ( s_t @ SV196 @ SV921 @ SV688 )
= $false )
| ( ( s_t @ SV196 @ SV397 @ SV562 )
= $false )
| ( ( s_t @ SV688 @ SV905 @ SV562 )
= $false )
| ( ( s_t @ SV921 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV905 @ SV921 ) @ SV562 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3035]) ).
thf(3099,plain,
! [SV906: $i,SV562: $i,SV397: $i,SV688: $i,SV922: $i,SV196: $i] :
( ( ( s_t @ SV196 @ SV922 @ SV688 )
= $false )
| ( ( s_t @ SV196 @ SV397 @ SV562 )
= $false )
| ( ( s_t @ SV688 @ SV906 @ SV562 )
= $false )
| ( ( s_t @ SV397 @ ( crossbar @ SV196 @ SV397 @ SV562 @ SV688 @ SV906 @ SV922 ) @ SV906 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3036]) ).
thf(3100,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3037]) ).
thf(3101,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3062: $i,SY3063: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3062 @ SY3063 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3063 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3038]) ).
thf(3102,plain,
! [SV969: $i,SV960: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV960 @ SV969 ) )
= $true )
| ( ( s_e @ SV399 @ SV689 @ SV828 @ SV969 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3039]) ).
thf(3103,plain,
! [SV946: $i,SV689: $i,SV937: $i,SV828: $i,SV768: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ~ ( s_col @ SV198 @ SV399 @ SV564 ) )
= $true )
| ( ( ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 ) )
= $true )
| ( ( ~ ( s_e @ SV198 @ SV689 @ SV768 @ SV946 ) )
= $true )
| ( ( ~ ( s_e @ SV399 @ SV689 @ SV828 @ SV946 ) )
= $true )
| ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3040]) ).
thf(3104,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
| ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3105,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ! [SY2986: $i,SY2987: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2986 @ SY2987 ) )
= $true )
| ( ( s_m @ SV201 @ SV400 @ SV565 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3042]) ).
thf(3106,plain,
! [SV961: $i,SV954: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV954 @ SV961 )
= $false )
| ( ( s_m @ SV961 @ SV954 @ SV772 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3043]) ).
thf(3107,plain,
! [SV925: $i,SV400: $i,SV772: $i,SV565: $i,SV938: $i,SV690: $i,SV201: $i] :
( ( ( ~ ( s_t @ SV201 @ SV690 @ SV938 )
| ~ ( s_t @ SV565 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) )
= $true )
| ( ( ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3044]) ).
thf(3108,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3045]) ).
thf(3109,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3078: $i,SY3079: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3078 @ SY3079 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3079 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3046]) ).
thf(3110,plain,
! [SV970: $i,SV962: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV962 @ SV970 ) )
= $true )
| ( ( s_e @ SV567 @ SV691 @ SV962 @ SV970 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3047]) ).
thf(3111,plain,
! [SV947: $i,SV691: $i,SV939: $i,SV837: $i,SV777: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SV939 )
| ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3048]) ).
thf(3112,plain,
! [SV971: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( ! [SY3141: $i] :
~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV971 @ SY3141 ) )
= $true )
| ( ( s_e @ SV207 @ SV404 @ SV692 @ SV971 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3049]) ).
thf(3113,plain,
! [SV975: $i,SV972: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV972 @ SV975 )
| ( s_e @ SV207 @ SV568 @ SV692 @ SV975 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3050]) ).
thf(3114,plain,
! [SV692: $i,SV207: $i,SV927: $i,SV911: $i,SV568: $i,SV404: $i] :
( ( ( s_e @ SV404 @ SV568 @ SV911 @ SV927 )
= $false )
| ( ( s_e @ SV207 @ SV404 @ SV692 @ SV911 )
= $false )
| ( ( s_e @ SV207 @ SV568 @ SV692 @ SV927 )
= $false )
| ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV911 @ SV927 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3052]) ).
thf(3115,plain,
! [SV880: $i,SV838: $i,SV779: $i,SV694: $i,SV571: $i,SV406: $i,SV211: $i,SV4: $i] :
( ( ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
= $false )
| ( ( ~ ( s_e @ SV211 @ SV694 @ SV571 @ SV779 ) )
= $true )
| ( ( ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 ) )
= $true )
| ( ( ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 ) )
= $true )
| ( ( ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3053]) ).
thf(3116,plain,
! [SV66: $i,SV711: $i,SV607: $i,SV455: $i,SV789: $i,SV273: $i] :
( ( ( s_e @ SV273 @ SV789 @ SV455 @ SV607 )
= $false )
| ( ( s_e @ SV273 @ SV711 @ SV455 @ SV607 )
= $false )
| ( ( SV66 = SV273 )
= $true )
| ( ( SV455 = SV607 )
= $true )
| ( ( sameside @ SV711 @ SV273 @ SV66 )
= $false )
| ( ( sameside @ SV789 @ SV273 @ SV66 )
= $false )
| ( ( SV711 = SV789 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3054]) ).
thf(3117,plain,
! [SV843: $i,SV790: $i,SV615: $i,SV466: $i,SV713: $i,SV285: $i,SV78: $i] :
( ( ( s_col @ SV78 @ SV285 @ SV713 )
= $false )
| ( ( SV466 = SV615 )
= $true )
| ( ( SV78 = SV285 )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV713 ) )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3055]) ).
thf(3118,plain,
! [SV846: $i,SV796: $i,SV719: $i,SV484: $i,SV626: $i,SV104: $i,SV311: $i] :
( ( ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
= $false )
| ( ( s_t @ SV104 @ SV311 @ SV484 )
= $false )
| ( ( s_t @ SV626 @ SV311 @ SV719 )
= $false )
| ( ( ~ ( s_e @ SV311 @ SV484 @ SV311 @ SV719 ) )
= $true )
| ( ( ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3057]) ).
thf(3119,plain,
! [SV885: $i,SV847: $i,SV723: $i,SV631: $i,SV495: $i,SV324: $i,SV117: $i] :
( ( ( SV117 = SV324 )
= $true )
| ( ( SV495 = SV631 )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV723 ) )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV723 ) )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV847 ) )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3058]) ).
thf(3120,plain,
! [SV848: $i,SV798: $i,SV730: $i,SV643: $i,SV507: $i,SV337: $i,SV130: $i] :
( ( ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
= $false )
| ( ( ~ ( perp @ SV643 @ SV507 @ SV337 @ SV507 ) )
= $true )
| ( ( ~ ( s_col @ SV337 @ SV507 @ SV730 ) )
= $true )
| ( ( ~ ( s_t @ SV130 @ SV730 @ SV643 ) )
= $true )
| ( ( ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3121,plain,
! [SV849: $i,SV799: $i,SV731: $i,SV644: $i,SV508: $i,SV338: $i,SV131: $i] :
( ( ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
= $false )
| ( ( ~ ( perp @ SV644 @ SV508 @ SV338 @ SV508 ) )
= $true )
| ( ( ~ ( s_col @ SV338 @ SV508 @ SV731 ) )
= $true )
| ( ( ~ ( s_t @ SV131 @ SV731 @ SV644 ) )
= $true )
| ( ( ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3122,plain,
! [SV800: $i,SV339: $i,SV509: $i,SV645: $i,SV732: $i,SV132: $i] :
( ( ( s_t @ SV132 @ SV732 @ SV645 )
= $false )
| ( ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
= $false )
| ( ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
= $false )
| ( ( s_col @ SV339 @ SV509 @ SV732 )
= $false )
| ( ( ~ ( s_t @ SV509 @ SV800 @ SV645 ) )
= $true )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3062]) ).
thf(3123,plain,
! [SV851: $i,SV804: $i,SV519: $i,SV349: $i,SV655: $i,SV737: $i,SV142: $i] :
( ( ( s_m @ SV142 @ SV737 @ SV655 )
= $false )
| ( ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
= $false )
| ( ( s_col @ SV349 @ SV519 @ SV737 )
= $false )
| ( ( ~ ( s_col @ SV349 @ SV519 @ SV804 ) )
= $true )
| ( ( ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3124,plain,
! [SV852: $i,SV656: $i,SV143: $i,SV738: $i,SV805: $i,SV520: $i,SV350: $i] :
( ( ( s_col @ SV350 @ SV520 @ SV805 )
= $false )
| ( ( s_col @ SV350 @ SV520 @ SV738 )
= $false )
| ( ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
= $false )
| ( ( s_m @ SV143 @ SV738 @ SV656 )
= $false )
| ( ( ~ ( sameside @ SV143 @ SV805 @ SV852 ) )
= $true )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3065]) ).
thf(3125,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 )
| ~ ( s_col @ SV352 @ SV522 @ SV739 ) )
= $true )
| ( ( ~ ( s_col @ SV352 @ SV522 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3066]) ).
thf(3126,plain,
! [SV887: $i,SV854: $i,SV808: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i] :
( ( ( ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 )
| ~ ( s_col @ SV353 @ SV523 @ SV740 ) )
= $true )
| ( ( ~ ( s_col @ SV353 @ SV523 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3067]) ).
thf(3127,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i] :
( ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 )
| ~ ( s_col @ SV354 @ SV524 @ SV741 ) )
= $true )
| ( ( ~ ( s_col @ SV354 @ SV524 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3068]) ).
thf(3128,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i] :
( ( ( ~ ( opposite @ SV148 @ SV355 @ SV525 @ SV660 ) )
= $true )
| ( ( SV355 = SV525 )
= $true )
| ( ( ~ ( s_col @ SV355 @ SV525 @ SV742 ) )
= $true )
| ( ( ~ ( s_col @ SV355 @ SV525 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3069]) ).
thf(3129,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 )
| ~ ( s_col @ SV356 @ SV526 @ SV743 ) )
= $true )
| ( ( ~ ( s_col @ SV356 @ SV526 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3070]) ).
thf(3130,plain,
! [SV174: $i,SV681: $i,SV755: $i,SV549: $i,SV381: $i] :
( ( ( s_e @ SV381 @ SV549 @ SV381 @ SV755 )
= $false )
| ( ( s_r @ SV681 @ SV381 @ SV755 )
= $false )
| ( ( s_r @ SV174 @ SV381 @ SV549 )
= $false )
| ( ( s_e @ SV174 @ SV381 @ SV681 @ SV381 )
= $false )
| ( ( s_e @ SV174 @ SV549 @ SV681 @ SV755 )
= $true )
| ( ( SV381
= ( midpoint @ SV549 @ SV755 ) )
= $false )
| ( ( SV549 = SV755 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3131,plain,
! [SV976: $i,SV963: $i,SV183: $i] :
( ( ( ~ ( sameside @ SV183 @ SV963 @ SV976 ) )
= $true )
| ( ( SV183 != SV963 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3072]) ).
thf(3132,plain,
! [SV973: $i,SV964: $i,SV183: $i] :
( ( ( ~ ( sameside @ SV183 @ SV964 @ SV973 ) )
= $true )
| ( ( SV973 != SV964 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3073]) ).
thf(3133,plain,
! [SV977: $i,SV965: $i,SV184: $i] :
( ( ( ~ ( sameside @ SV184 @ SV965 @ SV977 ) )
= $true )
| ( ( SV184 != SV965 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3075]) ).
thf(3134,plain,
! [SV974: $i,SV966: $i,SV184: $i] :
( ( ( ~ ( sameside @ SV184 @ SV966 @ SV974 ) )
= $true )
| ( ( SV974 != SV966 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3076]) ).
thf(3135,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3078]) ).
thf(3136,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3078]) ).
thf(3137,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3079]) ).
thf(3138,plain,
! [SV388: $i,SV185: $i,SV685: $i,SV553: $i,SV762: $i,SV956: $i,SV951: $i] :
( ( ( SV951 = SV956 )
= $true )
| ( ( ( SV951 = SV762 )
| ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SV956 @ SV951 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3080]) ).
thf(3139,plain,
! [SV978: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
| ! [SY3143: $i] :
( ( s_col @ SV186 @ SV389 @ SV978 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY3143 @ SV978 )
| ~ ( s_col @ SV186 @ SV389 @ SY3143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3081]) ).
thf(3140,plain,
! [SV389: $i,SV186: $i,SV554: $i] :
( ( ( ! [SY2545: $i] :
~ ( opposite @ SV554 @ SV186 @ SV389 @ SY2545 ) )
= $true )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV554 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3082]) ).
thf(3141,plain,
! [SV554: $i,SV957: $i,SV389: $i,SV186: $i] :
( ( ( s_col @ SV186 @ SV389 @ SV957 )
= $false )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV957 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3142,plain,
! [SV555: $i,SV865: $i,SV897: $i,SV390: $i,SV187: $i] :
( ( ( s_col @ SV187 @ SV390 @ SV897 )
= $false )
| ( ( SV865 = SV555 )
= $true )
| ( ( s_col @ SV187 @ SV390 @ SV555 )
= $false )
| ( ( SV187 = SV390 )
= $true )
| ( ( s_col @ SV187 @ SV390 @ SV865 )
= $false )
| ( ( ~ ( perp @ SV187 @ SV390 @ SV897 @ SV555 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3084]) ).
thf(3143,plain,
! [SV866: $i,SV555: $i,SV898: $i,SV390: $i,SV187: $i] :
( ( ( perp @ SV187 @ SV390 @ SV898 @ SV555 )
= $false )
| ( ( s_r @ SV898 @ SV555 @ SV866 )
= $true )
| ( ( SV866 = SV555 )
= $true )
| ( ( s_col @ SV187 @ SV390 @ SV555 )
= $false )
| ( ( SV187 = SV390 )
= $true )
| ( ( s_col @ SV187 @ SV390 @ SV866 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3085]) ).
thf(3144,plain,
! [SV952: $i,SV942: $i,SV189: $i] :
( ( ( s_col @ SV189 @ SV942 @ SV952 )
= $false )
| ( ( s_t @ SV189 @ SV942 @ SV952 )
= $true )
| ( ( s_t @ SV942 @ SV952 @ SV189 )
= $true )
| ( ( s_t @ SV952 @ SV189 @ SV942 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3145,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
| ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3087]) ).
thf(3146,plain,
! [SV979: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3144: $i] :
( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV979 @ SY3144 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SY3144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3088]) ).
thf(3147,plain,
! [SV967: $i,SV958: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV958 @ SV967 )
= $false )
| ( ( s_e @ SV392 @ SV686 @ SV827 @ SV967 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3148,plain,
! [SV944: $i,SV686: $i,SV933: $i,SV827: $i,SV766: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_t @ SV191 @ SV392 @ SV557 )
| ~ ( s_t @ SV766 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3090]) ).
thf(3149,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3091]) ).
thf(3150,plain,
! [SV767: $i,SV687: $i,SV393: $i,SV192: $i,SV558: $i] :
( ( ~ ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3091]) ).
thf(3151,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3092]) ).
thf(3152,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( SV192 = SV393 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV687 = SV767 )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3093]) ).
thf(3153,plain,
! [SV558: $i,SV767: $i,SV687: $i,SV393: $i,SV192: $i] :
( ( ( s_r @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) @ SV558 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $false )
| ( ( s_col @ SV192 @ SV393 @ SV558 )
= $false )
| ( ( SV687 = SV767 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV192 = SV393 )
= $true )
| ( ( s_col @ SV687 @ SV767 @ SV558 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3154,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
| ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3095]) ).
thf(3155,plain,
! [SV980: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY3145: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV980 @ SY3145 )
| ( s_col @ SV980 @ SY3145 @ ( g813 @ SV194 @ SV395 @ SV980 @ SY3145 @ SV560 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3096]) ).
thf(3156,plain,
! [SV968: $i,SV959: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV959 @ SV968 )
= $false )
| ( ( SV560
!= ( f813 @ SV194 @ SV395 @ SV959 @ SV968 @ SV560 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3097]) ).
thf(3157,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
| ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3100]) ).
thf(3158,plain,
! [SV981: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3146: $i] :
( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV981 @ SY3146 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SY3146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3101]) ).
thf(3159,plain,
! [SV969: $i,SV960: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV960 @ SV969 )
= $false )
| ( ( s_e @ SV399 @ SV689 @ SV828 @ SV969 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3102]) ).
thf(3160,plain,
! [SV946: $i,SV689: $i,SV937: $i,SV828: $i,SV768: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( s_col @ SV198 @ SV399 @ SV564 )
= $false )
| ( ( ~ ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 ) )
= $true )
| ( ( ~ ( s_e @ SV198 @ SV689 @ SV768 @ SV946 ) )
= $true )
| ( ( ~ ( s_e @ SV399 @ SV689 @ SV828 @ SV946 ) )
= $true )
| ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3103]) ).
thf(3161,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3104]) ).
thf(3162,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3104]) ).
thf(3163,plain,
! [SV982: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ! [SY3147: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV982 @ SY3147 ) )
= $true )
| ( ( s_m @ SV201 @ SV400 @ SV565 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3105]) ).
thf(3164,plain,
! [SV925: $i,SV400: $i,SV772: $i,SV565: $i,SV938: $i,SV690: $i,SV201: $i] :
( ( ( ~ ( s_t @ SV201 @ SV690 @ SV938 ) )
= $true )
| ( ( ~ ( s_t @ SV565 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) )
= $true )
| ( ( ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3107]) ).
thf(3165,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
| ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3108]) ).
thf(3166,plain,
! [SV983: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3148: $i] :
( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV983 @ SY3148 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SY3148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3109]) ).
thf(3167,plain,
! [SV970: $i,SV962: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV962 @ SV970 )
= $false )
| ( ( s_e @ SV567 @ SV691 @ SV962 @ SV970 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3168,plain,
! [SV947: $i,SV691: $i,SV939: $i,SV837: $i,SV777: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_t @ SV206 @ SV403 @ SV567 )
| ~ ( s_t @ SV777 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3111]) ).
thf(3169,plain,
! [SV984: $i,SV971: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV971 @ SV984 ) )
= $true )
| ( ( s_e @ SV207 @ SV404 @ SV692 @ SV971 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3112]) ).
thf(3170,plain,
! [SV975: $i,SV972: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( ~ ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV972 @ SV975 ) )
= $true )
| ( ( s_e @ SV207 @ SV568 @ SV692 @ SV975 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3113]) ).
thf(3171,plain,
! [SV880: $i,SV838: $i,SV406: $i,SV4: $i,SV779: $i,SV571: $i,SV694: $i,SV211: $i] :
( ( ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
= $false )
| ( ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
= $false )
| ( ( ~ ( s_e @ SV4 @ SV838 @ SV406 @ SV880 ) )
= $true )
| ( ( ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 ) )
= $true )
| ( ( ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3115]) ).
thf(3172,plain,
! [SV843: $i,SV790: $i,SV285: $i,SV78: $i,SV713: $i,SV615: $i,SV466: $i] :
( ( ( s_col @ SV466 @ SV615 @ SV713 )
= $false )
| ( ( SV78 = SV285 )
= $true )
| ( ( SV466 = SV615 )
= $true )
| ( ( s_col @ SV78 @ SV285 @ SV713 )
= $false )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV790 ) )
= $true )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3117]) ).
thf(3173,plain,
! [SV846: $i,SV796: $i,SV104: $i,SV626: $i,SV719: $i,SV484: $i,SV311: $i] :
( ( ( s_e @ SV311 @ SV484 @ SV311 @ SV719 )
= $false )
| ( ( s_t @ SV626 @ SV311 @ SV719 )
= $false )
| ( ( s_t @ SV104 @ SV311 @ SV484 )
= $false )
| ( ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
= $false )
| ( ( ~ ( s_m @ SV104 @ SV796 @ SV626 ) )
= $true )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3118]) ).
thf(3174,plain,
! [SV885: $i,SV847: $i,SV324: $i,SV117: $i,SV723: $i,SV631: $i,SV495: $i] :
( ( ( s_col @ SV495 @ SV631 @ SV723 )
= $false )
| ( ( SV495 = SV631 )
= $true )
| ( ( SV117 = SV324 )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV723 ) )
= $true )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV847 ) )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3119]) ).
thf(3175,plain,
! [SV848: $i,SV798: $i,SV730: $i,SV130: $i,SV337: $i,SV507: $i,SV643: $i] :
( ( ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
= $false )
| ( ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
= $false )
| ( ( ~ ( s_col @ SV337 @ SV507 @ SV730 ) )
= $true )
| ( ( ~ ( s_t @ SV130 @ SV730 @ SV643 ) )
= $true )
| ( ( ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3120]) ).
thf(3176,plain,
! [SV849: $i,SV799: $i,SV731: $i,SV131: $i,SV338: $i,SV508: $i,SV644: $i] :
( ( ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
= $false )
| ( ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
= $false )
| ( ( ~ ( s_col @ SV338 @ SV508 @ SV731 ) )
= $true )
| ( ( ~ ( s_t @ SV131 @ SV731 @ SV644 ) )
= $true )
| ( ( ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3121]) ).
thf(3177,plain,
! [SV132: $i,SV732: $i,SV339: $i,SV645: $i,SV800: $i,SV509: $i] :
( ( ( s_t @ SV509 @ SV800 @ SV645 )
= $false )
| ( ( s_col @ SV339 @ SV509 @ SV732 )
= $false )
| ( ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
= $false )
| ( ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
= $false )
| ( ( s_t @ SV132 @ SV732 @ SV645 )
= $false )
| ( ( ~ ( s_e @ SV339 @ SV132 @ SV509 @ SV800 ) )
= $true )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3122]) ).
thf(3178,plain,
! [SV851: $i,SV655: $i,SV142: $i,SV737: $i,SV804: $i,SV519: $i,SV349: $i] :
( ( ( s_col @ SV349 @ SV519 @ SV804 )
= $false )
| ( ( s_col @ SV349 @ SV519 @ SV737 )
= $false )
| ( ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
= $false )
| ( ( s_m @ SV142 @ SV737 @ SV655 )
= $false )
| ( ( ~ ( sameside @ SV142 @ SV804 @ SV851 ) )
= $true )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3123]) ).
thf(3179,plain,
! [SV520: $i,SV350: $i,SV656: $i,SV738: $i,SV852: $i,SV805: $i,SV143: $i] :
( ( ( sameside @ SV143 @ SV805 @ SV852 )
= $false )
| ( ( s_m @ SV143 @ SV738 @ SV656 )
= $false )
| ( ( opposite @ SV143 @ SV350 @ SV520 @ SV656 )
= $false )
| ( ( s_col @ SV350 @ SV520 @ SV738 )
= $false )
| ( ( s_col @ SV350 @ SV520 @ SV805 )
= $false )
| ( ( opposite @ SV852 @ SV350 @ SV520 @ SV656 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3124]) ).
thf(3180,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
| ( SV352 = SV522 ) )
= $true )
| ( ( ~ ( s_col @ SV352 @ SV522 @ SV739 ) )
= $true )
| ( ( ~ ( s_col @ SV352 @ SV522 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3125]) ).
thf(3181,plain,
! [SV887: $i,SV854: $i,SV808: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i] :
( ( ( ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
| ( SV353 = SV523 ) )
= $true )
| ( ( ~ ( s_col @ SV353 @ SV523 @ SV740 ) )
= $true )
| ( ( ~ ( s_col @ SV353 @ SV523 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3126]) ).
thf(3182,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i] :
( ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
| ( SV354 = SV524 ) )
= $true )
| ( ( ~ ( s_col @ SV354 @ SV524 @ SV741 ) )
= $true )
| ( ( ~ ( s_col @ SV354 @ SV524 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3127]) ).
thf(3183,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i] :
( ( ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
= $false )
| ( ( SV355 = SV525 )
= $true )
| ( ( ~ ( s_col @ SV355 @ SV525 @ SV742 ) )
= $true )
| ( ( ~ ( s_col @ SV355 @ SV525 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3128]) ).
thf(3184,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
| ( SV356 = SV526 ) )
= $true )
| ( ( ~ ( s_col @ SV356 @ SV526 @ SV743 ) )
= $true )
| ( ( ~ ( s_col @ SV356 @ SV526 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3129]) ).
thf(3185,plain,
! [SV976: $i,SV963: $i,SV183: $i] :
( ( ( sameside @ SV183 @ SV963 @ SV976 )
= $false )
| ( ( SV183 != SV963 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3131]) ).
thf(3186,plain,
! [SV973: $i,SV964: $i,SV183: $i] :
( ( ( sameside @ SV183 @ SV964 @ SV973 )
= $false )
| ( ( SV973 != SV964 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3132]) ).
thf(3187,plain,
! [SV977: $i,SV965: $i,SV184: $i] :
( ( ( sameside @ SV184 @ SV965 @ SV977 )
= $false )
| ( ( SV184 != SV965 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3188,plain,
! [SV974: $i,SV966: $i,SV184: $i] :
( ( ( sameside @ SV184 @ SV966 @ SV974 )
= $false )
| ( ( SV974 != SV966 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3134]) ).
thf(3189,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3135]) ).
thf(3190,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV553 != SV685 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3136]) ).
thf(3191,plain,
! [SV388: $i,SV185: $i,SV685: $i,SV553: $i] :
( ( ( s_col @ SV553 @ SV685 @ SV185 )
= $false )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3137]) ).
thf(3192,plain,
! [SV956: $i,SV388: $i,SV185: $i,SV685: $i,SV553: $i,SV762: $i,SV951: $i] :
( ( ( SV951 = SV762 )
= $true )
| ( ( ( SV553 = SV685 )
| ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SV956 @ SV951 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3138]) ).
thf(3193,plain,
! [SV978: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
= $true )
| ( ( ! [SY3143: $i] :
( ( s_col @ SV186 @ SV389 @ SV978 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SY3143 @ SV978 )
| ~ ( s_col @ SV186 @ SV389 @ SY3143 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3139]) ).
thf(3194,plain,
! [SV985: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( ~ ( opposite @ SV554 @ SV186 @ SV389 @ SV985 ) )
= $true )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV554 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3140]) ).
thf(3195,plain,
! [SV865: $i,SV555: $i,SV897: $i,SV390: $i,SV187: $i] :
( ( ( perp @ SV187 @ SV390 @ SV897 @ SV555 )
= $false )
| ( ( s_col @ SV187 @ SV390 @ SV865 )
= $false )
| ( ( SV187 = SV390 )
= $true )
| ( ( s_col @ SV187 @ SV390 @ SV555 )
= $false )
| ( ( SV865 = SV555 )
= $true )
| ( ( s_col @ SV187 @ SV390 @ SV897 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3142]) ).
thf(3196,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3145]) ).
thf(3197,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3145]) ).
thf(3198,plain,
! [SV986: $i,SV979: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV979 @ SV986 )
| ( s_e @ SV191 @ SV686 @ SV766 @ SV986 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3146]) ).
thf(3199,plain,
! [SV944: $i,SV686: $i,SV933: $i,SV827: $i,SV766: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_t @ SV191 @ SV392 @ SV557 ) )
= $true )
| ( ( ~ ( s_t @ SV766 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3148]) ).
thf(3200,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3149]) ).
thf(3201,plain,
! [SV767: $i,SV687: $i,SV393: $i,SV192: $i,SV558: $i] :
( ( ! [SY2962: $i,SY2963: $i] :
( ( s_r @ SY2962 @ SV558 @ SY2963 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SY2962 )
| ~ ( s_col @ SV687 @ SV767 @ SY2963 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3150]) ).
thf(3202,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( ( SV687 = SV767 )
| ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3151]) ).
thf(3203,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( s_col @ SV192 @ SV393 @ SV558 )
= $false )
| ( ( SV687 = SV767 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV192 = SV393 )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3152]) ).
thf(3204,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3154]) ).
thf(3205,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3154]) ).
thf(3206,plain,
! [SV987: $i,SV980: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV980 @ SV987 )
| ( s_col @ SV980 @ SV987 @ ( g813 @ SV194 @ SV395 @ SV980 @ SV987 @ SV560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3155]) ).
thf(3207,plain,
! [SV968: $i,SV959: $i,SV395: $i,SV194: $i,SV560: $i] :
( ( ( SV560
= ( f813 @ SV194 @ SV395 @ SV959 @ SV968 @ SV560 ) )
= $false )
| ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV959 @ SV968 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3156]) ).
thf(3208,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3157]) ).
thf(3209,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3157]) ).
thf(3210,plain,
! [SV988: $i,SV981: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV981 @ SV988 )
| ( s_e @ SV198 @ SV689 @ SV768 @ SV988 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3158]) ).
thf(3211,plain,
! [SV946: $i,SV689: $i,SV937: $i,SV828: $i,SV768: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 )
= $false )
| ( ( s_col @ SV198 @ SV399 @ SV564 )
= $false )
| ( ( ~ ( s_e @ SV198 @ SV689 @ SV768 @ SV946 ) )
= $true )
| ( ( ~ ( s_e @ SV399 @ SV689 @ SV828 @ SV946 ) )
= $true )
| ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3160]) ).
thf(3212,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3161]) ).
thf(3213,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2984: $i,SY2985: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2984 @ SY2985 )
| ( s_e @ SV690 @ SY2985 @ SV690 @ SV772 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3162]) ).
thf(3214,plain,
! [SV989: $i,SV982: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV982 @ SV989 ) )
= $true )
| ( ( s_m @ SV201 @ SV400 @ SV565 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3163]) ).
thf(3215,plain,
! [SV925: $i,SV400: $i,SV772: $i,SV565: $i,SV938: $i,SV690: $i,SV201: $i] :
( ( ( s_t @ SV201 @ SV690 @ SV938 )
= $false )
| ( ( ~ ( s_t @ SV565 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) )
= $true )
| ( ( ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3164]) ).
thf(3216,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3165]) ).
thf(3217,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3165]) ).
thf(3218,plain,
! [SV990: $i,SV983: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV983 @ SV990 )
| ( s_e @ SV206 @ SV691 @ SV777 @ SV990 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3166]) ).
thf(3219,plain,
! [SV947: $i,SV691: $i,SV939: $i,SV837: $i,SV777: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_t @ SV206 @ SV403 @ SV567 ) )
= $true )
| ( ( ~ ( s_t @ SV777 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3168]) ).
thf(3220,plain,
! [SV984: $i,SV971: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV971 @ SV984 )
= $false )
| ( ( s_e @ SV207 @ SV404 @ SV692 @ SV971 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3169]) ).
thf(3221,plain,
! [SV975: $i,SV972: $i,SV692: $i,SV568: $i,SV404: $i,SV207: $i] :
( ( ( s_e3 @ SV207 @ SV404 @ SV568 @ SV692 @ SV972 @ SV975 )
= $false )
| ( ( s_e @ SV207 @ SV568 @ SV692 @ SV975 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3222,plain,
! [SV779: $i,SV694: $i,SV571: $i,SV211: $i,SV880: $i,SV406: $i,SV838: $i,SV4: $i] :
( ( ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
= $false )
| ( ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
= $false )
| ( ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
= $false )
| ( ( ~ ( s_e @ SV211 @ SV838 @ SV571 @ SV880 ) )
= $true )
| ( ( ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3223,plain,
! [SV843: $i,SV615: $i,SV466: $i,SV713: $i,SV790: $i,SV285: $i,SV78: $i] :
( ( ( s_col @ SV78 @ SV285 @ SV790 )
= $false )
| ( ( s_col @ SV78 @ SV285 @ SV713 )
= $false )
| ( ( SV466 = SV615 )
= $true )
| ( ( SV78 = SV285 )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV713 )
= $false )
| ( ( ~ ( s_col @ SV466 @ SV615 @ SV790 ) )
= $true )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3172]) ).
thf(3224,plain,
! [SV846: $i,SV719: $i,SV484: $i,SV311: $i,SV626: $i,SV796: $i,SV104: $i] :
( ( ( s_m @ SV104 @ SV796 @ SV626 )
= $false )
| ( ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
= $false )
| ( ( s_t @ SV104 @ SV311 @ SV484 )
= $false )
| ( ( s_t @ SV626 @ SV311 @ SV719 )
= $false )
| ( ( s_e @ SV311 @ SV484 @ SV311 @ SV719 )
= $false )
| ( ( ~ ( s_m @ SV484 @ SV846 @ SV719 ) )
= $true )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3173]) ).
thf(3225,plain,
! [SV885: $i,SV847: $i,SV631: $i,SV495: $i,SV723: $i,SV324: $i,SV117: $i] :
( ( ( s_col @ SV117 @ SV324 @ SV723 )
= $false )
| ( ( SV117 = SV324 )
= $true )
| ( ( SV495 = SV631 )
= $true )
| ( ( s_col @ SV495 @ SV631 @ SV723 )
= $false )
| ( ( ~ ( s_col @ SV117 @ SV324 @ SV847 ) )
= $true )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3174]) ).
thf(3226,plain,
! [SV848: $i,SV798: $i,SV643: $i,SV130: $i,SV730: $i,SV507: $i,SV337: $i] :
( ( ( s_col @ SV337 @ SV507 @ SV730 )
= $false )
| ( ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
= $false )
| ( ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
= $false )
| ( ( ~ ( s_t @ SV130 @ SV730 @ SV643 ) )
= $true )
| ( ( ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3175]) ).
thf(3227,plain,
! [SV849: $i,SV799: $i,SV644: $i,SV131: $i,SV731: $i,SV508: $i,SV338: $i] :
( ( ( s_col @ SV338 @ SV508 @ SV731 )
= $false )
| ( ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
= $false )
| ( ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
= $false )
| ( ( ~ ( s_t @ SV131 @ SV731 @ SV644 ) )
= $true )
| ( ( ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3176]) ).
thf(3228,plain,
! [SV645: $i,SV732: $i,SV800: $i,SV509: $i,SV132: $i,SV339: $i] :
( ( ( s_e @ SV339 @ SV132 @ SV509 @ SV800 )
= $false )
| ( ( s_t @ SV132 @ SV732 @ SV645 )
= $false )
| ( ( perp @ SV645 @ SV509 @ SV339 @ SV509 )
= $false )
| ( ( perp @ SV132 @ SV339 @ SV339 @ SV509 )
= $false )
| ( ( s_col @ SV339 @ SV509 @ SV732 )
= $false )
| ( ( s_t @ SV509 @ SV800 @ SV645 )
= $false )
| ( ( s_m @ SV132 @ ( midpoint @ SV339 @ SV509 ) @ SV800 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3177]) ).
thf(3229,plain,
! [SV519: $i,SV349: $i,SV655: $i,SV737: $i,SV851: $i,SV804: $i,SV142: $i] :
( ( ( sameside @ SV142 @ SV804 @ SV851 )
= $false )
| ( ( s_m @ SV142 @ SV737 @ SV655 )
= $false )
| ( ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
= $false )
| ( ( s_col @ SV349 @ SV519 @ SV737 )
= $false )
| ( ( s_col @ SV349 @ SV519 @ SV804 )
= $false )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( ~ ( s_t @ SV804 @ SV851 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3178]) ).
thf(3230,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( ~ ( opposite @ SV145 @ SV352 @ SV522 @ SV657 ) )
= $true )
| ( ( SV352 = SV522 )
= $true )
| ( ( ~ ( s_col @ SV352 @ SV522 @ SV739 ) )
= $true )
| ( ( ~ ( s_col @ SV352 @ SV522 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3180]) ).
thf(3231,plain,
! [SV887: $i,SV854: $i,SV808: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i] :
( ( ( ~ ( opposite @ SV146 @ SV353 @ SV523 @ SV658 ) )
= $true )
| ( ( SV353 = SV523 )
= $true )
| ( ( ~ ( s_col @ SV353 @ SV523 @ SV740 ) )
= $true )
| ( ( ~ ( s_col @ SV353 @ SV523 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3181]) ).
thf(3232,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i] :
( ( ( ~ ( opposite @ SV147 @ SV354 @ SV524 @ SV659 ) )
= $true )
| ( ( SV354 = SV524 )
= $true )
| ( ( ~ ( s_col @ SV354 @ SV524 @ SV741 ) )
= $true )
| ( ( ~ ( s_col @ SV354 @ SV524 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3182]) ).
thf(3233,plain,
! [SV889: $i,SV856: $i,SV810: $i,SV660: $i,SV148: $i,SV742: $i,SV525: $i,SV355: $i] :
( ( ( s_col @ SV355 @ SV525 @ SV742 )
= $false )
| ( ( SV355 = SV525 )
= $true )
| ( ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
= $false )
| ( ( ~ ( s_col @ SV355 @ SV525 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3183]) ).
thf(3234,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( ~ ( opposite @ SV149 @ SV356 @ SV526 @ SV661 ) )
= $true )
| ( ( SV356 = SV526 )
= $true )
| ( ( ~ ( s_col @ SV356 @ SV526 @ SV743 ) )
= $true )
| ( ( ~ ( s_col @ SV356 @ SV526 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3184]) ).
thf(3235,plain,
! [SV976: $i,SV963: $i,SV183: $i] :
( ( ( SV183 = SV963 )
= $false )
| ( ( sameside @ SV183 @ SV963 @ SV976 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3185]) ).
thf(3236,plain,
! [SV183: $i,SV964: $i,SV973: $i] :
( ( ( SV973 = SV964 )
= $false )
| ( ( sameside @ SV183 @ SV964 @ SV973 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3186]) ).
thf(3237,plain,
! [SV977: $i,SV965: $i,SV184: $i] :
( ( ( SV184 = SV965 )
= $false )
| ( ( sameside @ SV184 @ SV965 @ SV977 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3187]) ).
thf(3238,plain,
! [SV184: $i,SV966: $i,SV974: $i] :
( ( ( SV974 = SV966 )
= $false )
| ( ( sameside @ SV184 @ SV966 @ SV974 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3188]) ).
thf(3239,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3189]) ).
thf(3240,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( SV553 != SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3190]) ).
thf(3241,plain,
! [SV956: $i,SV388: $i,SV951: $i,SV762: $i,SV185: $i,SV685: $i,SV553: $i] :
( ( ( SV553 = SV685 )
= $true )
| ( ( ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SV956 @ SV951 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 )
| ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV951 = SV762 )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3192]) ).
thf(3242,plain,
! [SV991: $i,SV554: $i,SV978: $i,SV389: $i,SV186: $i] :
( ( ( ( s_col @ SV186 @ SV389 @ SV978 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SV991 @ SV978 )
| ~ ( s_col @ SV186 @ SV389 @ SV991 ) )
= $true )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3193]) ).
thf(3243,plain,
! [SV985: $i,SV389: $i,SV186: $i,SV554: $i] :
( ( ( opposite @ SV554 @ SV186 @ SV389 @ SV985 )
= $false )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV554 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3194]) ).
thf(3244,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3196]) ).
thf(3245,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3050: $i] :
( ! [SY3051: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3050 @ SY3051 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SY3050 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3197]) ).
thf(3246,plain,
! [SV986: $i,SV979: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV979 @ SV986 ) )
= $true )
| ( ( s_e @ SV191 @ SV686 @ SV766 @ SV986 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3198]) ).
thf(3247,plain,
! [SV944: $i,SV686: $i,SV933: $i,SV827: $i,SV766: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_t @ SV191 @ SV392 @ SV557 )
= $false )
| ( ( ~ ( s_t @ SV766 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3248,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3200]) ).
thf(3249,plain,
! [SV767: $i,SV687: $i,SV393: $i,SV192: $i,SV558: $i,SV992: $i] :
( ( ! [SY3149: $i] :
( ( s_r @ SV992 @ SV558 @ SY3149 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV992 )
| ~ ( s_col @ SV687 @ SV767 @ SY3149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3201]) ).
thf(3250,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( SV687 = SV767 )
= $true )
| ( ( ( SV192 = SV393 )
| ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3202]) ).
thf(3251,plain,
! [SV393: $i,SV192: $i,SV558: $i,SV767: $i,SV687: $i] :
( ( ( s_col @ SV687 @ SV767 @ SV558 )
= $false )
| ( ( SV192 = SV393 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV687 = SV767 )
= $true )
| ( ( s_col @ SV192 @ SV393 @ SV558 )
= $false )
| ( ( s_col @ SV687 @ SV767 @ ( g811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3203]) ).
thf(3252,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3204]) ).
thf(3253,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2590: $i,SY2591: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2590 @ SY2591 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SY2590 @ SY2591 @ SV560 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3205]) ).
thf(3254,plain,
! [SV987: $i,SV980: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV980 @ SV987 ) )
= $true )
| ( ( s_col @ SV980 @ SV987 @ ( g813 @ SV194 @ SV395 @ SV980 @ SV987 @ SV560 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3206]) ).
thf(3255,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 )
| ( s_col @ SV198 @ SV399 @ SV564 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3208]) ).
thf(3256,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3060: $i] :
( ! [SY3061: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3060 @ SY3061 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SY3060 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3209]) ).
thf(3257,plain,
! [SV988: $i,SV981: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV981 @ SV988 ) )
= $true )
| ( ( s_e @ SV198 @ SV689 @ SV768 @ SV988 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3210]) ).
thf(3258,plain,
! [SV937: $i,SV828: $i,SV564: $i,SV399: $i,SV946: $i,SV768: $i,SV689: $i,SV198: $i] :
( ( ( s_e @ SV198 @ SV689 @ SV768 @ SV946 )
= $false )
| ( ( s_col @ SV198 @ SV399 @ SV564 )
= $false )
| ( ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 )
= $false )
| ( ( ~ ( s_e @ SV399 @ SV689 @ SV828 @ SV946 ) )
= $true )
| ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3211]) ).
thf(3259,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
| ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3260,plain,
! [SV993: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY3150: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV993 @ SY3150 )
| ( s_e @ SV690 @ SY3150 @ SV690 @ SV772 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3213]) ).
thf(3261,plain,
! [SV989: $i,SV982: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV982 @ SV989 )
= $false )
| ( ( s_m @ SV201 @ SV400 @ SV565 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3262,plain,
! [SV925: $i,SV400: $i,SV938: $i,SV201: $i,SV772: $i,SV690: $i,SV565: $i] :
( ( ( s_t @ SV565 @ SV690 @ SV772 )
= $false )
| ( ( s_t @ SV201 @ SV690 @ SV938 )
= $false )
| ( ( ~ ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) )
= $true )
| ( ( ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3215]) ).
thf(3263,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3216]) ).
thf(3264,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3076: $i] :
( ! [SY3077: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3076 @ SY3077 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SY3076 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3217]) ).
thf(3265,plain,
! [SV990: $i,SV983: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV983 @ SV990 ) )
= $true )
| ( ( s_e @ SV206 @ SV691 @ SV777 @ SV990 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3218]) ).
thf(3266,plain,
! [SV947: $i,SV691: $i,SV939: $i,SV837: $i,SV777: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_t @ SV206 @ SV403 @ SV567 )
= $false )
| ( ( ~ ( s_t @ SV777 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3219]) ).
thf(3267,plain,
! [SV406: $i,SV4: $i,SV779: $i,SV694: $i,SV880: $i,SV571: $i,SV838: $i,SV211: $i] :
( ( ( s_e @ SV211 @ SV838 @ SV571 @ SV880 )
= $false )
| ( ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
= $false )
| ( ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
= $false )
| ( ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
= $false )
| ( ( ~ ( s_t @ SV4 @ SV211 @ SV694 ) )
= $true )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3222]) ).
thf(3268,plain,
! [SV843: $i,SV285: $i,SV78: $i,SV713: $i,SV790: $i,SV615: $i,SV466: $i] :
( ( ( s_col @ SV466 @ SV615 @ SV790 )
= $false )
| ( ( s_col @ SV466 @ SV615 @ SV713 )
= $false )
| ( ( SV78 = SV285 )
= $true )
| ( ( SV466 = SV615 )
= $true )
| ( ( s_col @ SV78 @ SV285 @ SV713 )
= $false )
| ( ( s_col @ SV78 @ SV285 @ SV790 )
= $false )
| ( ( SV713 = SV790 )
= $true )
| ( ( ~ ( s_col @ SV78 @ SV285 @ SV843 ) )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3223]) ).
thf(3269,plain,
! [SV796: $i,SV104: $i,SV626: $i,SV311: $i,SV719: $i,SV846: $i,SV484: $i] :
( ( ( s_m @ SV484 @ SV846 @ SV719 )
= $false )
| ( ( s_e @ SV311 @ SV484 @ SV311 @ SV719 )
= $false )
| ( ( s_t @ SV626 @ SV311 @ SV719 )
= $false )
| ( ( s_t @ SV104 @ SV311 @ SV484 )
= $false )
| ( ( s_e @ SV311 @ SV104 @ SV311 @ SV626 )
= $false )
| ( ( s_m @ SV104 @ SV796 @ SV626 )
= $false )
| ( ( s_t @ SV796 @ SV311 @ SV846 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3224]) ).
thf(3270,plain,
! [SV885: $i,SV723: $i,SV631: $i,SV495: $i,SV847: $i,SV324: $i,SV117: $i] :
( ( ( s_col @ SV117 @ SV324 @ SV847 )
= $false )
| ( ( s_col @ SV495 @ SV631 @ SV723 )
= $false )
| ( ( SV495 = SV631 )
= $true )
| ( ( SV117 = SV324 )
= $true )
| ( ( s_col @ SV117 @ SV324 @ SV723 )
= $false )
| ( ( ~ ( s_col @ SV495 @ SV631 @ SV885 ) )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3225]) ).
thf(3271,plain,
! [SV848: $i,SV798: $i,SV337: $i,SV507: $i,SV643: $i,SV730: $i,SV130: $i] :
( ( ( s_t @ SV130 @ SV730 @ SV643 )
= $false )
| ( ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
= $false )
| ( ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
= $false )
| ( ( s_col @ SV337 @ SV507 @ SV730 )
= $false )
| ( ( ~ ( s_t @ SV507 @ SV798 @ SV643 ) )
= $true )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3272,plain,
! [SV849: $i,SV799: $i,SV338: $i,SV508: $i,SV644: $i,SV731: $i,SV131: $i] :
( ( ( s_t @ SV131 @ SV731 @ SV644 )
= $false )
| ( ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
= $false )
| ( ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
= $false )
| ( ( s_col @ SV338 @ SV508 @ SV731 )
= $false )
| ( ( ~ ( s_t @ SV508 @ SV799 @ SV644 ) )
= $true )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3273,plain,
! [SV737: $i,SV655: $i,SV519: $i,SV349: $i,SV142: $i,SV851: $i,SV804: $i] :
( ( ( s_t @ SV804 @ SV851 @ SV142 )
= $false )
| ( ( opposite @ SV851 @ SV349 @ SV519 @ SV655 )
= $true )
| ( ( s_col @ SV349 @ SV519 @ SV804 )
= $false )
| ( ( s_col @ SV349 @ SV519 @ SV737 )
= $false )
| ( ( opposite @ SV142 @ SV349 @ SV519 @ SV655 )
= $false )
| ( ( s_m @ SV142 @ SV737 @ SV655 )
= $false )
| ( ( sameside @ SV142 @ SV804 @ SV851 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3229]) ).
thf(3274,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i] :
( ( ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
= $false )
| ( ( SV352 = SV522 )
= $true )
| ( ( ~ ( s_col @ SV352 @ SV522 @ SV739 ) )
= $true )
| ( ( ~ ( s_col @ SV352 @ SV522 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3230]) ).
thf(3275,plain,
! [SV887: $i,SV854: $i,SV808: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i,SV146: $i] :
( ( ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
= $false )
| ( ( SV353 = SV523 )
= $true )
| ( ( ~ ( s_col @ SV353 @ SV523 @ SV740 ) )
= $true )
| ( ( ~ ( s_col @ SV353 @ SV523 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3276,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i] :
( ( ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
= $false )
| ( ( SV354 = SV524 )
= $true )
| ( ( ~ ( s_col @ SV354 @ SV524 @ SV741 ) )
= $true )
| ( ( ~ ( s_col @ SV354 @ SV524 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3277,plain,
! [SV889: $i,SV856: $i,SV742: $i,SV660: $i,SV148: $i,SV810: $i,SV525: $i,SV355: $i] :
( ( ( s_col @ SV355 @ SV525 @ SV810 )
= $false )
| ( ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
= $false )
| ( ( SV355 = SV525 )
= $true )
| ( ( s_col @ SV355 @ SV525 @ SV742 )
= $false )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV148 @ SV810 ) )
= $true )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3278,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i] :
( ( ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
= $false )
| ( ( SV356 = SV526 )
= $true )
| ( ( ~ ( s_col @ SV356 @ SV526 @ SV743 ) )
= $true )
| ( ( ~ ( s_col @ SV356 @ SV526 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3234]) ).
thf(3279,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3239]) ).
thf(3280,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3239]) ).
thf(3281,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( SV553 != SV685 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3282,plain,
! [SV685: $i,SV553: $i,SV956: $i,SV388: $i,SV951: $i,SV762: $i,SV185: $i] :
( ( ( ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SV956 @ SV951 )
| ~ ( s_col @ SV553 @ SV685 @ SV762 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV553 = SV685 )
= $true )
| ( ( SV951 = SV762 )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3241]) ).
thf(3283,plain,
! [SV991: $i,SV554: $i,SV978: $i,SV389: $i,SV186: $i] :
( ( ( ( s_col @ SV186 @ SV389 @ SV978 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 )
| ~ ( s_t @ SV554 @ SV991 @ SV978 ) )
= $true )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV991 ) )
= $true )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3242]) ).
thf(3284,plain,
! [SV985: $i,SV554: $i,SV389: $i,SV186: $i] :
( ( ( s_col @ SV186 @ SV389 @ SV554 )
= $false )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV985 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3285,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
| ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3286,plain,
! [SV994: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3151: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV994 @ SY3151 )
| ( s_e @ SV392 @ SV557 @ SV827 @ SV994 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3245]) ).
thf(3287,plain,
! [SV986: $i,SV979: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV979 @ SV986 )
= $false )
| ( ( s_e @ SV191 @ SV686 @ SV766 @ SV986 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3246]) ).
thf(3288,plain,
! [SV944: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i,SV933: $i,SV827: $i,SV766: $i] :
( ( ( s_t @ SV766 @ SV827 @ SV933 )
= $false )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $false )
| ( ( ~ ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3247]) ).
thf(3289,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3248]) ).
thf(3290,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3248]) ).
thf(3291,plain,
! [SV767: $i,SV687: $i,SV393: $i,SV192: $i,SV995: $i,SV558: $i,SV992: $i] :
( ( ( s_r @ SV992 @ SV558 @ SV995 )
| ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV992 )
| ~ ( s_col @ SV687 @ SV767 @ SV995 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3249]) ).
thf(3292,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( SV192 = SV393 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV687 = SV767 )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3250]) ).
thf(3293,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
| ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3294,plain,
! [SV996: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY3152: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV996 @ SY3152 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SV996 @ SY3152 @ SV560 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3253]) ).
thf(3295,plain,
! [SV987: $i,SV980: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV980 @ SV987 )
= $false )
| ( ( s_col @ SV980 @ SV987 @ ( g813 @ SV194 @ SV395 @ SV980 @ SV987 @ SV560 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3254]) ).
thf(3296,plain,
! [SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ! [SY3058: $i,SY3059: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SY3058 @ SY3059 ) )
= $true )
| ( ( s_col @ SV198 @ SV399 @ SV564 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3255]) ).
thf(3297,plain,
! [SV997: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ! [SY3153: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV997 @ SY3153 )
| ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV997 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3256]) ).
thf(3298,plain,
! [SV988: $i,SV981: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV981 @ SV988 )
= $false )
| ( ( s_e @ SV198 @ SV689 @ SV768 @ SV988 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3257]) ).
thf(3299,plain,
! [SV937: $i,SV768: $i,SV564: $i,SV198: $i,SV946: $i,SV828: $i,SV689: $i,SV399: $i] :
( ( ( s_e @ SV399 @ SV689 @ SV828 @ SV946 )
= $false )
| ( ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV937 )
= $false )
| ( ( s_col @ SV198 @ SV399 @ SV564 )
= $false )
| ( ( s_e @ SV198 @ SV689 @ SV768 @ SV946 )
= $false )
| ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV937 @ SV946 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3258]) ).
thf(3300,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3301,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3302,plain,
! [SV998: $i,SV993: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV993 @ SV998 )
| ( s_e @ SV690 @ SV998 @ SV690 @ SV772 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3260]) ).
thf(3303,plain,
! [SV925: $i,SV400: $i,SV772: $i,SV938: $i,SV565: $i,SV201: $i,SV690: $i] :
( ( ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
= $false )
| ( ( s_t @ SV201 @ SV690 @ SV938 )
= $false )
| ( ( s_t @ SV565 @ SV690 @ SV772 )
= $false )
| ( ( ~ ( s_e @ SV690 @ SV938 @ SV690 @ SV772 ) )
= $true )
| ( ( ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3262]) ).
thf(3304,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
| ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3263]) ).
thf(3305,plain,
! [SV999: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3154: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV999 @ SY3154 )
| ( s_e @ SV403 @ SV567 @ SV837 @ SV999 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3264]) ).
thf(3306,plain,
! [SV990: $i,SV983: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV983 @ SV990 )
= $false )
| ( ( s_e @ SV206 @ SV691 @ SV777 @ SV990 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3265]) ).
thf(3307,plain,
! [SV947: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i,SV939: $i,SV837: $i,SV777: $i] :
( ( ( s_t @ SV777 @ SV837 @ SV939 )
= $false )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $false )
| ( ( ~ ( s_e @ SV206 @ SV567 @ SV777 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3266]) ).
thf(3308,plain,
! [SV779: $i,SV571: $i,SV880: $i,SV406: $i,SV838: $i,SV694: $i,SV211: $i,SV4: $i] :
( ( ( s_t @ SV4 @ SV211 @ SV694 )
= $false )
| ( ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
= $false )
| ( ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
= $false )
| ( ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
= $false )
| ( ( s_e @ SV211 @ SV838 @ SV571 @ SV880 )
= $false )
| ( ( ~ ( s_t @ SV406 @ SV571 @ SV779 ) )
= $true )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3267]) ).
thf(3309,plain,
! [SV615: $i,SV466: $i,SV790: $i,SV713: $i,SV843: $i,SV285: $i,SV78: $i] :
( ( ( s_col @ SV78 @ SV285 @ SV843 )
= $false )
| ( ( SV713 = SV790 )
= $true )
| ( ( s_col @ SV78 @ SV285 @ SV790 )
= $false )
| ( ( s_col @ SV78 @ SV285 @ SV713 )
= $false )
| ( ( SV466 = SV615 )
= $true )
| ( ( SV78 = SV285 )
= $true )
| ( ( s_col @ SV466 @ SV615 @ SV713 )
= $false )
| ( ( s_col @ SV466 @ SV615 @ SV790 )
= $false )
| ( ( s_col @ SV466 @ SV615 @ SV843 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3268]) ).
thf(3310,plain,
! [SV847: $i,SV723: $i,SV324: $i,SV117: $i,SV885: $i,SV631: $i,SV495: $i] :
( ( ( s_col @ SV495 @ SV631 @ SV885 )
= $false )
| ( ( s_col @ SV117 @ SV324 @ SV723 )
= $false )
| ( ( SV117 = SV324 )
= $true )
| ( ( SV495 = SV631 )
= $true )
| ( ( s_col @ SV495 @ SV631 @ SV723 )
= $false )
| ( ( s_col @ SV117 @ SV324 @ SV847 )
= $false )
| ( ( SV723 = SV847 )
= $true )
| ( ( SV723 = SV885 )
= $true )
| ( ( ~ ( s_r @ SV847 @ SV723 @ SV885 ) )
= $true )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3270]) ).
thf(3311,plain,
! [SV848: $i,SV130: $i,SV730: $i,SV337: $i,SV643: $i,SV798: $i,SV507: $i] :
( ( ( s_t @ SV507 @ SV798 @ SV643 )
= $false )
| ( ( s_col @ SV337 @ SV507 @ SV730 )
= $false )
| ( ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
= $false )
| ( ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
= $false )
| ( ( s_t @ SV130 @ SV730 @ SV643 )
= $false )
| ( ( ~ ( s_e @ SV337 @ SV130 @ SV507 @ SV798 ) )
= $true )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3271]) ).
thf(3312,plain,
! [SV849: $i,SV131: $i,SV731: $i,SV338: $i,SV644: $i,SV799: $i,SV508: $i] :
( ( ( s_t @ SV508 @ SV799 @ SV644 )
= $false )
| ( ( s_col @ SV338 @ SV508 @ SV731 )
= $false )
| ( ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
= $false )
| ( ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
= $false )
| ( ( s_t @ SV131 @ SV731 @ SV644 )
= $false )
| ( ( ~ ( s_e @ SV338 @ SV131 @ SV508 @ SV799 ) )
= $true )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3272]) ).
thf(3313,plain,
! [SV886: $i,SV853: $i,SV807: $i,SV657: $i,SV145: $i,SV739: $i,SV522: $i,SV352: $i] :
( ( ( s_col @ SV352 @ SV522 @ SV739 )
= $false )
| ( ( SV352 = SV522 )
= $true )
| ( ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
= $false )
| ( ( ~ ( s_col @ SV352 @ SV522 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3274]) ).
thf(3314,plain,
! [SV887: $i,SV854: $i,SV808: $i,SV658: $i,SV146: $i,SV740: $i,SV523: $i,SV353: $i] :
( ( ( s_col @ SV353 @ SV523 @ SV740 )
= $false )
| ( ( SV353 = SV523 )
= $true )
| ( ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
= $false )
| ( ( ~ ( s_col @ SV353 @ SV523 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3275]) ).
thf(3315,plain,
! [SV888: $i,SV855: $i,SV809: $i,SV659: $i,SV147: $i,SV741: $i,SV524: $i,SV354: $i] :
( ( ( s_col @ SV354 @ SV524 @ SV741 )
= $false )
| ( ( SV354 = SV524 )
= $true )
| ( ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
= $false )
| ( ( ~ ( s_col @ SV354 @ SV524 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3276]) ).
thf(3316,plain,
! [SV889: $i,SV856: $i,SV660: $i,SV742: $i,SV810: $i,SV148: $i,SV525: $i,SV355: $i] :
( ( ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
= $false )
| ( ( s_col @ SV355 @ SV525 @ SV742 )
= $false )
| ( ( SV355 = SV525 )
= $true )
| ( ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
= $false )
| ( ( s_col @ SV355 @ SV525 @ SV810 )
= $false )
| ( ( ~ ( perp @ SV355 @ SV525 @ SV660 @ SV742 ) )
= $true )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3277]) ).
thf(3317,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV811: $i,SV661: $i,SV149: $i,SV743: $i,SV526: $i,SV356: $i] :
( ( ( s_col @ SV356 @ SV526 @ SV743 )
= $false )
| ( ( SV356 = SV526 )
= $true )
| ( ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
= $false )
| ( ( ~ ( s_col @ SV356 @ SV526 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3278]) ).
thf(3318,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3279]) ).
thf(3319,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3280]) ).
thf(3320,plain,
! [SV388: $i,SV185: $i,SV685: $i,SV553: $i] :
( ( ( SV553 = SV685 )
= $false )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3281]) ).
thf(3321,plain,
! [SV685: $i,SV553: $i,SV956: $i,SV388: $i,SV951: $i,SV762: $i,SV185: $i] :
( ( ( ~ ( s_t @ SV185 @ SV762 @ SV951 )
| ~ ( s_t @ SV388 @ SV956 @ SV951 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV762 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV553 = SV685 )
= $true )
| ( ( SV951 = SV762 )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3282]) ).
thf(3322,plain,
! [SV991: $i,SV554: $i,SV978: $i,SV389: $i,SV186: $i] :
( ( ( ( s_col @ SV186 @ SV389 @ SV978 )
| ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 ) )
= $true )
| ( ( ~ ( s_t @ SV554 @ SV991 @ SV978 ) )
= $true )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV991 ) )
= $true )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3283]) ).
thf(3323,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3285]) ).
thf(3324,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3285]) ).
thf(3325,plain,
! [SV994: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ! [SY3151: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV994 @ SY3151 ) )
= $true )
| ( ( s_e @ SV392 @ SV557 @ SV827 @ SV994 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3286]) ).
thf(3326,plain,
! [SV944: $i,SV686: $i,SV933: $i,SV557: $i,SV827: $i,SV766: $i,SV392: $i,SV191: $i] :
( ( ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
= $false )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $false )
| ( ( s_t @ SV766 @ SV827 @ SV933 )
= $false )
| ( ( ~ ( s_e @ SV392 @ SV557 @ SV827 @ SV933 ) )
= $true )
| ( ( ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3288]) ).
thf(3327,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3289]) ).
thf(3328,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV687 != SV767 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3290]) ).
thf(3329,plain,
! [SV767: $i,SV687: $i,SV393: $i,SV192: $i,SV995: $i,SV558: $i,SV992: $i] :
( ( ( s_r @ SV992 @ SV558 @ SV995 )
= $true )
| ( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV992 )
| ~ ( s_col @ SV687 @ SV767 @ SV995 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3291]) ).
thf(3330,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( s_col @ SV192 @ SV393 @ SV558 )
= $false )
| ( ( SV687 = SV767 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV192 = SV393 )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true )
| ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3292]) ).
thf(3331,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3293]) ).
thf(3332,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3293]) ).
thf(3333,plain,
! [SV1000: $i,SV996: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV996 @ SV1000 )
| ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SV996 @ SV1000 @ SV560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3294]) ).
thf(3334,plain,
! [SV1001: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ! [SY3155: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV1001 @ SY3155 ) )
= $true )
| ( ( s_col @ SV198 @ SV399 @ SV564 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3296]) ).
thf(3335,plain,
! [SV997: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ! [SY3153: $i] :
~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV997 @ SY3153 ) )
= $true )
| ( ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV997 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3297]) ).
thf(3336,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3300]) ).
thf(3337,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 )
| ( s_e @ SV690 @ SV201 @ SV690 @ SV565 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3301]) ).
thf(3338,plain,
! [SV998: $i,SV993: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV993 @ SV998 ) )
= $true )
| ( ( s_e @ SV690 @ SV998 @ SV690 @ SV772 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3302]) ).
thf(3339,plain,
! [SV925: $i,SV400: $i,SV201: $i,SV565: $i,SV772: $i,SV938: $i,SV690: $i] :
( ( ( s_e @ SV690 @ SV938 @ SV690 @ SV772 )
= $false )
| ( ( s_t @ SV565 @ SV690 @ SV772 )
= $false )
| ( ( s_t @ SV201 @ SV690 @ SV938 )
= $false )
| ( ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
= $false )
| ( ( ~ ( s_m @ SV201 @ SV400 @ SV565 ) )
= $true )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3303]) ).
thf(3340,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3304]) ).
thf(3341,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3304]) ).
thf(3342,plain,
! [SV999: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ! [SY3154: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV999 @ SY3154 ) )
= $true )
| ( ( s_e @ SV403 @ SV567 @ SV837 @ SV999 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3305]) ).
thf(3343,plain,
! [SV947: $i,SV691: $i,SV837: $i,SV403: $i,SV939: $i,SV777: $i,SV567: $i,SV206: $i] :
( ( ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
= $false )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $false )
| ( ( s_t @ SV777 @ SV837 @ SV939 )
= $false )
| ( ( ~ ( s_e @ SV403 @ SV567 @ SV837 @ SV939 ) )
= $true )
| ( ( ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3307]) ).
thf(3344,plain,
! [SV4: $i,SV694: $i,SV880: $i,SV838: $i,SV211: $i,SV779: $i,SV571: $i,SV406: $i] :
( ( ( s_t @ SV406 @ SV571 @ SV779 )
= $false )
| ( ( s_e @ SV211 @ SV838 @ SV571 @ SV880 )
= $false )
| ( ( s_e @ SV211 @ SV694 @ SV571 @ SV779 )
= $false )
| ( ( s_e @ SV4 @ SV211 @ SV406 @ SV571 )
= $false )
| ( ( s_e @ SV4 @ SV838 @ SV406 @ SV880 )
= $false )
| ( ( s_t @ SV4 @ SV211 @ SV694 )
= $false )
| ( ( SV4 = SV211 )
= $true )
| ( ( s_e @ SV694 @ SV838 @ SV779 @ SV880 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3308]) ).
thf(3345,plain,
! [SV631: $i,SV495: $i,SV324: $i,SV117: $i,SV885: $i,SV723: $i,SV847: $i] :
( ( ( s_r @ SV847 @ SV723 @ SV885 )
= $false )
| ( ( SV723 = SV885 )
= $true )
| ( ( SV723 = SV847 )
= $true )
| ( ( s_col @ SV117 @ SV324 @ SV847 )
= $false )
| ( ( s_col @ SV495 @ SV631 @ SV723 )
= $false )
| ( ( SV495 = SV631 )
= $true )
| ( ( SV117 = SV324 )
= $true )
| ( ( s_col @ SV117 @ SV324 @ SV723 )
= $false )
| ( ( s_col @ SV495 @ SV631 @ SV885 )
= $false )
| ( ( perpAt @ SV117 @ SV324 @ SV723 @ SV495 @ SV631 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3310]) ).
thf(3346,plain,
! [SV848: $i,SV643: $i,SV730: $i,SV798: $i,SV507: $i,SV130: $i,SV337: $i] :
( ( ( s_e @ SV337 @ SV130 @ SV507 @ SV798 )
= $false )
| ( ( s_t @ SV130 @ SV730 @ SV643 )
= $false )
| ( ( perp @ SV643 @ SV507 @ SV337 @ SV507 )
= $false )
| ( ( perp @ SV130 @ SV337 @ SV337 @ SV507 )
= $false )
| ( ( s_col @ SV337 @ SV507 @ SV730 )
= $false )
| ( ( s_t @ SV507 @ SV798 @ SV643 )
= $false )
| ( ( SV848
= ( ip @ SV130 @ SV730 @ SV643 @ SV507 @ SV798 ) )
= $false )
| ( ( s_m @ SV337 @ SV848 @ SV507 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3311]) ).
thf(3347,plain,
! [SV849: $i,SV644: $i,SV731: $i,SV799: $i,SV508: $i,SV131: $i,SV338: $i] :
( ( ( s_e @ SV338 @ SV131 @ SV508 @ SV799 )
= $false )
| ( ( s_t @ SV131 @ SV731 @ SV644 )
= $false )
| ( ( perp @ SV644 @ SV508 @ SV338 @ SV508 )
= $false )
| ( ( perp @ SV131 @ SV338 @ SV338 @ SV508 )
= $false )
| ( ( s_col @ SV338 @ SV508 @ SV731 )
= $false )
| ( ( s_t @ SV508 @ SV799 @ SV644 )
= $false )
| ( ( SV849
= ( ip @ SV131 @ SV731 @ SV644 @ SV508 @ SV799 ) )
= $false )
| ( ( s_m @ SV131 @ SV849 @ SV799 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3312]) ).
thf(3348,plain,
! [SV886: $i,SV853: $i,SV739: $i,SV657: $i,SV145: $i,SV807: $i,SV522: $i,SV352: $i] :
( ( ( s_col @ SV352 @ SV522 @ SV807 )
= $false )
| ( ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
= $false )
| ( ( SV352 = SV522 )
= $true )
| ( ( s_col @ SV352 @ SV522 @ SV739 )
= $false )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV145 @ SV807 ) )
= $true )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3313]) ).
thf(3349,plain,
! [SV887: $i,SV854: $i,SV740: $i,SV658: $i,SV146: $i,SV808: $i,SV523: $i,SV353: $i] :
( ( ( s_col @ SV353 @ SV523 @ SV808 )
= $false )
| ( ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
= $false )
| ( ( SV353 = SV523 )
= $true )
| ( ( s_col @ SV353 @ SV523 @ SV740 )
= $false )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV146 @ SV808 ) )
= $true )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3314]) ).
thf(3350,plain,
! [SV888: $i,SV855: $i,SV741: $i,SV659: $i,SV147: $i,SV809: $i,SV524: $i,SV354: $i] :
( ( ( s_col @ SV354 @ SV524 @ SV809 )
= $false )
| ( ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
= $false )
| ( ( SV354 = SV524 )
= $true )
| ( ( s_col @ SV354 @ SV524 @ SV741 )
= $false )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV147 @ SV809 ) )
= $true )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3315]) ).
thf(3351,plain,
! [SV889: $i,SV856: $i,SV148: $i,SV810: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i] :
( ( ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
= $false )
| ( ( s_col @ SV355 @ SV525 @ SV810 )
= $false )
| ( ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
= $false )
| ( ( SV355 = SV525 )
= $true )
| ( ( s_col @ SV355 @ SV525 @ SV742 )
= $false )
| ( ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
= $false )
| ( ( ~ ( s_m @ SV810 @ SV856 @ SV742 ) )
= $true )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3352,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV743: $i,SV661: $i,SV149: $i,SV811: $i,SV526: $i,SV356: $i] :
( ( ( s_col @ SV356 @ SV526 @ SV811 )
= $false )
| ( ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
= $false )
| ( ( SV356 = SV526 )
= $true )
| ( ( s_col @ SV356 @ SV526 @ SV743 )
= $false )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV149 @ SV811 ) )
= $true )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3317]) ).
thf(3353,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3318]) ).
thf(3354,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3319]) ).
thf(3355,plain,
! [SV685: $i,SV553: $i,SV956: $i,SV388: $i,SV951: $i,SV762: $i,SV185: $i] :
( ( ( ~ ( s_t @ SV185 @ SV762 @ SV951 ) )
= $true )
| ( ( ~ ( s_t @ SV388 @ SV956 @ SV951 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV762 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV553 = SV685 )
= $true )
| ( ( SV951 = SV762 )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3321]) ).
thf(3356,plain,
! [SV991: $i,SV554: $i,SV978: $i,SV389: $i,SV186: $i] :
( ( ( s_col @ SV186 @ SV389 @ SV978 )
= $true )
| ( ( ( SV186 = SV389 )
| ( s_col @ SV186 @ SV389 @ SV554 ) )
= $true )
| ( ( ~ ( s_t @ SV554 @ SV991 @ SV978 ) )
= $true )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV991 ) )
= $true )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3322]) ).
thf(3357,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3323]) ).
thf(3358,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 )
| ( s_e @ SV191 @ SV392 @ SV766 @ SV827 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3324]) ).
thf(3359,plain,
! [SV1002: $i,SV994: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV994 @ SV1002 ) )
= $true )
| ( ( s_e @ SV392 @ SV557 @ SV827 @ SV994 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3325]) ).
thf(3360,plain,
! [SV944: $i,SV686: $i,SV191: $i,SV766: $i,SV933: $i,SV827: $i,SV557: $i,SV392: $i] :
( ( ( s_e @ SV392 @ SV557 @ SV827 @ SV933 )
= $false )
| ( ( s_t @ SV766 @ SV827 @ SV933 )
= $false )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $false )
| ( ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
= $false )
| ( ( ~ ( s_e @ SV191 @ SV686 @ SV766 @ SV944 ) )
= $true )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3326]) ).
thf(3361,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3327]) ).
thf(3362,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( SV687 != SV767 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3328]) ).
thf(3363,plain,
! [SV995: $i,SV992: $i,SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ~ ( s_col @ SV192 @ SV393 @ SV992 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV995 ) )
= $true )
| ( ( s_r @ SV992 @ SV558 @ SV995 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3329]) ).
thf(3364,plain,
! [SV393: $i,SV192: $i,SV558: $i,SV767: $i,SV687: $i] :
( ( ( s_col @ SV687 @ SV767 @ SV558 )
= $false )
| ( ( SV192 = SV393 )
= $true )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $true )
| ( ( SV687 = SV767 )
= $true )
| ( ( s_col @ SV192 @ SV393 @ SV558 )
= $false )
| ( ( s_col @ SV192 @ SV393 @ ( f811 @ SV192 @ SV393 @ SV687 @ SV767 @ SV558 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3330]) ).
thf(3365,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3331]) ).
thf(3366,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 )
| ( s_col @ SV194 @ SV395 @ SV560 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3332]) ).
thf(3367,plain,
! [SV1000: $i,SV996: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV996 @ SV1000 ) )
= $true )
| ( ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SV996 @ SV1000 @ SV560 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3333]) ).
thf(3368,plain,
! [SV1003: $i,SV1001: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV1001 @ SV1003 ) )
= $true )
| ( ( s_col @ SV198 @ SV399 @ SV564 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3334]) ).
thf(3369,plain,
! [SV1004: $i,SV997: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( ~ ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV997 @ SV1004 ) )
= $true )
| ( ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV997 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3335]) ).
thf(3370,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) )
| ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3336]) ).
thf(3371,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ! [SY2982: $i,SY2983: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2982 @ SY2983 ) )
= $true )
| ( ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3337]) ).
thf(3372,plain,
! [SV998: $i,SV993: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV993 @ SV998 )
= $false )
| ( ( s_e @ SV690 @ SV998 @ SV690 @ SV772 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3338]) ).
thf(3373,plain,
! [SV925: $i,SV772: $i,SV938: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_m @ SV201 @ SV400 @ SV565 )
= $false )
| ( ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
= $false )
| ( ( s_t @ SV201 @ SV690 @ SV938 )
= $false )
| ( ( s_t @ SV565 @ SV690 @ SV772 )
= $false )
| ( ( s_e @ SV690 @ SV938 @ SV690 @ SV772 )
= $false )
| ( ( ~ ( s_m @ SV938 @ SV925 @ SV772 ) )
= $true )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3339]) ).
thf(3374,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3340]) ).
thf(3375,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3074: $i] :
( ! [SY3075: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3074 @ SY3075 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SY3074 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3341]) ).
thf(3376,plain,
! [SV1005: $i,SV999: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV999 @ SV1005 ) )
= $true )
| ( ( s_e @ SV403 @ SV567 @ SV837 @ SV999 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3342]) ).
thf(3377,plain,
! [SV947: $i,SV691: $i,SV206: $i,SV777: $i,SV939: $i,SV837: $i,SV567: $i,SV403: $i] :
( ( ( s_e @ SV403 @ SV567 @ SV837 @ SV939 )
= $false )
| ( ( s_t @ SV777 @ SV837 @ SV939 )
= $false )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $false )
| ( ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
= $false )
| ( ( ~ ( s_e @ SV206 @ SV691 @ SV777 @ SV947 ) )
= $true )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3343]) ).
thf(3378,plain,
! [SV886: $i,SV853: $i,SV657: $i,SV739: $i,SV807: $i,SV145: $i,SV522: $i,SV352: $i] :
( ( ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
= $false )
| ( ( s_col @ SV352 @ SV522 @ SV739 )
= $false )
| ( ( SV352 = SV522 )
= $true )
| ( ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
= $false )
| ( ( s_col @ SV352 @ SV522 @ SV807 )
= $false )
| ( ( ~ ( perp @ SV352 @ SV522 @ SV657 @ SV739 ) )
= $true )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3348]) ).
thf(3379,plain,
! [SV887: $i,SV854: $i,SV658: $i,SV740: $i,SV808: $i,SV146: $i,SV523: $i,SV353: $i] :
( ( ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
= $false )
| ( ( s_col @ SV353 @ SV523 @ SV740 )
= $false )
| ( ( SV353 = SV523 )
= $true )
| ( ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
= $false )
| ( ( s_col @ SV353 @ SV523 @ SV808 )
= $false )
| ( ( ~ ( perp @ SV353 @ SV523 @ SV658 @ SV740 ) )
= $true )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3349]) ).
thf(3380,plain,
! [SV888: $i,SV855: $i,SV659: $i,SV741: $i,SV809: $i,SV147: $i,SV524: $i,SV354: $i] :
( ( ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
= $false )
| ( ( s_col @ SV354 @ SV524 @ SV741 )
= $false )
| ( ( SV354 = SV524 )
= $true )
| ( ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
= $false )
| ( ( s_col @ SV354 @ SV524 @ SV809 )
= $false )
| ( ( ~ ( perp @ SV354 @ SV524 @ SV659 @ SV741 ) )
= $true )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3350]) ).
thf(3381,plain,
! [SV889: $i,SV660: $i,SV148: $i,SV525: $i,SV355: $i,SV742: $i,SV856: $i,SV810: $i] :
( ( ( s_m @ SV810 @ SV856 @ SV742 )
= $false )
| ( ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
= $false )
| ( ( s_col @ SV355 @ SV525 @ SV742 )
= $false )
| ( ( SV355 = SV525 )
= $true )
| ( ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
= $false )
| ( ( s_col @ SV355 @ SV525 @ SV810 )
= $false )
| ( ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
= $false )
| ( ( ~ ( sameside @ SV889 @ SV810 @ SV148 ) )
= $true )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3351]) ).
thf(3382,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV661: $i,SV743: $i,SV811: $i,SV149: $i,SV526: $i,SV356: $i] :
( ( ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
= $false )
| ( ( s_col @ SV356 @ SV526 @ SV743 )
= $false )
| ( ( SV356 = SV526 )
= $true )
| ( ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
= $false )
| ( ( s_col @ SV356 @ SV526 @ SV811 )
= $false )
| ( ( ~ ( perp @ SV356 @ SV526 @ SV661 @ SV743 ) )
= $true )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3352]) ).
thf(3383,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3353]) ).
thf(3384,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3353]) ).
thf(3385,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3354]) ).
thf(3386,plain,
! [SV685: $i,SV553: $i,SV956: $i,SV388: $i,SV951: $i,SV762: $i,SV185: $i] :
( ( ( s_t @ SV185 @ SV762 @ SV951 )
= $false )
| ( ( ~ ( s_t @ SV388 @ SV956 @ SV951 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV762 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV553 = SV685 )
= $true )
| ( ( SV951 = SV762 )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3355]) ).
thf(3387,plain,
! [SV991: $i,SV978: $i,SV554: $i,SV389: $i,SV186: $i] :
( ( ( SV186 = SV389 )
= $true )
| ( ( s_col @ SV186 @ SV389 @ SV554 )
= $true )
| ( ( s_col @ SV186 @ SV389 @ SV978 )
= $true )
| ( ( ~ ( s_t @ SV554 @ SV991 @ SV978 ) )
= $true )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV991 ) )
= $true )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3356]) ).
thf(3388,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
| ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3357]) ).
thf(3389,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ! [SY3048: $i,SY3049: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3048 @ SY3049 ) )
= $true )
| ( ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3358]) ).
thf(3390,plain,
! [SV1002: $i,SV994: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV994 @ SV1002 )
= $false )
| ( ( s_e @ SV392 @ SV557 @ SV827 @ SV994 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3359]) ).
thf(3391,plain,
! [SV933: $i,SV557: $i,SV827: $i,SV392: $i,SV944: $i,SV766: $i,SV686: $i,SV191: $i] :
( ( ( s_e @ SV191 @ SV686 @ SV766 @ SV944 )
= $false )
| ( ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
= $false )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $false )
| ( ( s_t @ SV766 @ SV827 @ SV933 )
= $false )
| ( ( s_e @ SV392 @ SV557 @ SV827 @ SV933 )
= $false )
| ( ( ~ ( s_e @ SV392 @ SV686 @ SV827 @ SV944 ) )
= $true )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3360]) ).
thf(3392,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3361]) ).
thf(3393,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3361]) ).
thf(3394,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false )
| ( ( SV687 != SV767 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3362]) ).
thf(3395,plain,
! [SV995: $i,SV992: $i,SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV992 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV995 ) )
= $true )
| ( ( s_r @ SV992 @ SV558 @ SV995 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3363]) ).
thf(3396,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
| ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3365]) ).
thf(3397,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ( ! [SY2588: $i,SY2589: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2588 @ SY2589 ) )
= $true )
| ( ( s_col @ SV194 @ SV395 @ SV560 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3366]) ).
thf(3398,plain,
! [SV1000: $i,SV996: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV996 @ SV1000 )
= $false )
| ( ( s_col @ SV194 @ SV395 @ ( f813 @ SV194 @ SV395 @ SV996 @ SV1000 @ SV560 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3367]) ).
thf(3399,plain,
! [SV1003: $i,SV1001: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV1001 @ SV1003 )
= $false )
| ( ( s_col @ SV198 @ SV399 @ SV564 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3368]) ).
thf(3400,plain,
! [SV1004: $i,SV997: $i,SV828: $i,SV768: $i,SV689: $i,SV564: $i,SV399: $i,SV198: $i] :
( ( ( s_fs @ SV198 @ SV399 @ SV564 @ SV689 @ SV768 @ SV828 @ SV997 @ SV1004 )
= $false )
| ( ( s_e3 @ SV198 @ SV399 @ SV564 @ SV768 @ SV828 @ SV997 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3369]) ).
thf(3401,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3370]) ).
thf(3402,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3370]) ).
thf(3403,plain,
! [SV1006: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ! [SY3156: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1006 @ SY3156 ) )
= $true )
| ( ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3371]) ).
thf(3404,plain,
! [SV400: $i,SV201: $i,SV565: $i,SV690: $i,SV772: $i,SV925: $i,SV938: $i] :
( ( ( s_m @ SV938 @ SV925 @ SV772 )
= $false )
| ( ( s_e @ SV690 @ SV938 @ SV690 @ SV772 )
= $false )
| ( ( s_t @ SV565 @ SV690 @ SV772 )
= $false )
| ( ( s_t @ SV201 @ SV690 @ SV938 )
= $false )
| ( ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
= $false )
| ( ( s_m @ SV201 @ SV400 @ SV565 )
= $false )
| ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV925 @ SV938 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3373]) ).
thf(3405,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
| ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3374]) ).
thf(3406,plain,
! [SV1007: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3157: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1007 @ SY3157 )
| ( s_e @ SV206 @ SV567 @ SV777 @ SV1007 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3375]) ).
thf(3407,plain,
! [SV1005: $i,SV999: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV999 @ SV1005 )
= $false )
| ( ( s_e @ SV403 @ SV567 @ SV837 @ SV999 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3376]) ).
thf(3408,plain,
! [SV837: $i,SV403: $i,SV939: $i,SV567: $i,SV947: $i,SV777: $i,SV691: $i,SV206: $i] :
( ( ( s_e @ SV206 @ SV691 @ SV777 @ SV947 )
= $false )
| ( ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
= $false )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $false )
| ( ( s_t @ SV777 @ SV837 @ SV939 )
= $false )
| ( ( s_e @ SV403 @ SV567 @ SV837 @ SV939 )
= $false )
| ( ( ~ ( s_e @ SV567 @ SV691 @ SV939 @ SV947 ) )
= $true )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3377]) ).
thf(3409,plain,
! [SV886: $i,SV853: $i,SV145: $i,SV807: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i] :
( ( ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
= $false )
| ( ( s_col @ SV352 @ SV522 @ SV807 )
= $false )
| ( ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
= $false )
| ( ( SV352 = SV522 )
= $true )
| ( ( s_col @ SV352 @ SV522 @ SV739 )
= $false )
| ( ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
= $false )
| ( ( ~ ( s_m @ SV807 @ SV853 @ SV739 ) )
= $true )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3378]) ).
thf(3410,plain,
! [SV887: $i,SV854: $i,SV146: $i,SV808: $i,SV740: $i,SV658: $i,SV523: $i,SV353: $i] :
( ( ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
= $false )
| ( ( s_col @ SV353 @ SV523 @ SV808 )
= $false )
| ( ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
= $false )
| ( ( SV353 = SV523 )
= $true )
| ( ( s_col @ SV353 @ SV523 @ SV740 )
= $false )
| ( ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
= $false )
| ( ( ~ ( s_m @ SV808 @ SV854 @ SV740 ) )
= $true )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3379]) ).
thf(3411,plain,
! [SV888: $i,SV855: $i,SV147: $i,SV809: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i] :
( ( ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
= $false )
| ( ( s_col @ SV354 @ SV524 @ SV809 )
= $false )
| ( ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
= $false )
| ( ( SV354 = SV524 )
= $true )
| ( ( s_col @ SV354 @ SV524 @ SV741 )
= $false )
| ( ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
= $false )
| ( ( ~ ( s_m @ SV809 @ SV855 @ SV741 ) )
= $true )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3412,plain,
! [SV856: $i,SV742: $i,SV660: $i,SV525: $i,SV355: $i,SV148: $i,SV810: $i,SV889: $i] :
( ( ( sameside @ SV889 @ SV810 @ SV148 )
= $false )
| ( ( perp @ SV355 @ SV525 @ SV660 @ SV742 )
= $false )
| ( ( s_col @ SV355 @ SV525 @ SV810 )
= $false )
| ( ( opposite @ SV148 @ SV355 @ SV525 @ SV660 )
= $false )
| ( ( SV355 = SV525 )
= $true )
| ( ( s_col @ SV355 @ SV525 @ SV742 )
= $false )
| ( ( perp @ SV355 @ SV525 @ SV148 @ SV810 )
= $false )
| ( ( s_m @ SV810 @ SV856 @ SV742 )
= $false )
| ( ( sameside @ ( s @ SV856 @ SV889 ) @ SV742 @ SV660 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3381]) ).
thf(3413,plain,
! [SV912: $i,SV890: $i,SV857: $i,SV149: $i,SV811: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i] :
( ( ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
= $false )
| ( ( s_col @ SV356 @ SV526 @ SV811 )
= $false )
| ( ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
= $false )
| ( ( SV356 = SV526 )
= $true )
| ( ( s_col @ SV356 @ SV526 @ SV743 )
= $false )
| ( ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
= $false )
| ( ( ~ ( s_m @ SV811 @ SV857 @ SV743 ) )
= $true )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3382]) ).
thf(3414,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3383]) ).
thf(3415,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3384]) ).
thf(3416,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $false )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3385]) ).
thf(3417,plain,
! [SV685: $i,SV553: $i,SV762: $i,SV185: $i,SV951: $i,SV956: $i,SV388: $i] :
( ( ( s_t @ SV388 @ SV956 @ SV951 )
= $false )
| ( ( s_t @ SV185 @ SV762 @ SV951 )
= $false )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV762 ) )
= $true )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV553 = SV685 )
= $true )
| ( ( SV951 = SV762 )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3386]) ).
thf(3418,plain,
! [SV389: $i,SV186: $i,SV978: $i,SV991: $i,SV554: $i] :
( ( ( s_t @ SV554 @ SV991 @ SV978 )
= $false )
| ( ( s_col @ SV186 @ SV389 @ SV978 )
= $true )
| ( ( s_col @ SV186 @ SV389 @ SV554 )
= $true )
| ( ( SV186 = SV389 )
= $true )
| ( ( ~ ( s_col @ SV186 @ SV389 @ SV991 ) )
= $true )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3387]) ).
thf(3419,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3388]) ).
thf(3420,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ~ ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3388]) ).
thf(3421,plain,
! [SV1008: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ! [SY3158: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1008 @ SY3158 ) )
= $true )
| ( ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3389]) ).
thf(3422,plain,
! [SV191: $i,SV766: $i,SV933: $i,SV557: $i,SV944: $i,SV827: $i,SV686: $i,SV392: $i] :
( ( ( s_e @ SV392 @ SV686 @ SV827 @ SV944 )
= $false )
| ( ( s_e @ SV392 @ SV557 @ SV827 @ SV933 )
= $false )
| ( ( s_t @ SV766 @ SV827 @ SV933 )
= $false )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $false )
| ( ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
= $false )
| ( ( s_e @ SV191 @ SV686 @ SV766 @ SV944 )
= $false )
| ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV933 @ SV944 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3391]) ).
thf(3423,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3392]) ).
thf(3424,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( SV192 != SV393 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3393]) ).
thf(3425,plain,
! [SV558: $i,SV393: $i,SV192: $i,SV767: $i,SV687: $i] :
( ( ( SV687 = SV767 )
= $false )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3394]) ).
thf(3426,plain,
! [SV995: $i,SV992: $i,SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false )
| ( ( ~ ( s_col @ SV192 @ SV393 @ SV992 ) )
= $true )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV995 ) )
= $true )
| ( ( s_r @ SV992 @ SV558 @ SV995 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3395]) ).
thf(3427,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3396]) ).
thf(3428,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3396]) ).
thf(3429,plain,
! [SV1009: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ! [SY3159: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1009 @ SY3159 ) )
= $true )
| ( ( s_col @ SV194 @ SV395 @ SV560 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3397]) ).
thf(3430,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2978: $i,SY2979: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2978 @ SY2979 )
| ( s_t @ SV201 @ SV690 @ SY2979 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3401]) ).
thf(3431,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 )
| ( s_t @ SV565 @ SV690 @ SV772 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3402]) ).
thf(3432,plain,
! [SV1010: $i,SV1006: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1006 @ SV1010 ) )
= $true )
| ( ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3403]) ).
thf(3433,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3405]) ).
thf(3434,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ~ ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3405]) ).
thf(3435,plain,
! [SV1007: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ! [SY3157: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1007 @ SY3157 ) )
= $true )
| ( ( s_e @ SV206 @ SV567 @ SV777 @ SV1007 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3406]) ).
thf(3436,plain,
! [SV206: $i,SV777: $i,SV837: $i,SV403: $i,SV947: $i,SV939: $i,SV691: $i,SV567: $i] :
( ( ( s_e @ SV567 @ SV691 @ SV939 @ SV947 )
= $false )
| ( ( s_e @ SV403 @ SV567 @ SV837 @ SV939 )
= $false )
| ( ( s_t @ SV777 @ SV837 @ SV939 )
= $false )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $false )
| ( ( s_e @ SV206 @ SV567 @ SV777 @ SV939 )
= $false )
| ( ( s_e @ SV206 @ SV691 @ SV777 @ SV947 )
= $false )
| ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV939 @ SV947 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3437,plain,
! [SV886: $i,SV657: $i,SV145: $i,SV522: $i,SV352: $i,SV739: $i,SV853: $i,SV807: $i] :
( ( ( s_m @ SV807 @ SV853 @ SV739 )
= $false )
| ( ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
= $false )
| ( ( s_col @ SV352 @ SV522 @ SV739 )
= $false )
| ( ( SV352 = SV522 )
= $true )
| ( ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
= $false )
| ( ( s_col @ SV352 @ SV522 @ SV807 )
= $false )
| ( ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
= $false )
| ( ( ~ ( sameside @ SV886 @ SV807 @ SV145 ) )
= $true )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3409]) ).
thf(3438,plain,
! [SV887: $i,SV658: $i,SV146: $i,SV523: $i,SV353: $i,SV740: $i,SV854: $i,SV808: $i] :
( ( ( s_m @ SV808 @ SV854 @ SV740 )
= $false )
| ( ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
= $false )
| ( ( s_col @ SV353 @ SV523 @ SV740 )
= $false )
| ( ( SV353 = SV523 )
= $true )
| ( ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
= $false )
| ( ( s_col @ SV353 @ SV523 @ SV808 )
= $false )
| ( ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
= $false )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( ~ ( le @ SV740 @ SV658 @ SV808 @ SV146 ) )
= $true )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3410]) ).
thf(3439,plain,
! [SV888: $i,SV659: $i,SV147: $i,SV524: $i,SV354: $i,SV741: $i,SV855: $i,SV809: $i] :
( ( ( s_m @ SV809 @ SV855 @ SV741 )
= $false )
| ( ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
= $false )
| ( ( s_col @ SV354 @ SV524 @ SV741 )
= $false )
| ( ( SV354 = SV524 )
= $true )
| ( ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
= $false )
| ( ( s_col @ SV354 @ SV524 @ SV809 )
= $false )
| ( ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
= $false )
| ( ( ~ ( sameside @ SV888 @ SV809 @ SV147 ) )
= $true )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3411]) ).
thf(3440,plain,
! [SV912: $i,SV890: $i,SV661: $i,SV149: $i,SV526: $i,SV356: $i,SV743: $i,SV857: $i,SV811: $i] :
( ( ( s_m @ SV811 @ SV857 @ SV743 )
= $false )
| ( ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
= $false )
| ( ( s_col @ SV356 @ SV526 @ SV743 )
= $false )
| ( ( SV356 = SV526 )
= $true )
| ( ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
= $false )
| ( ( s_col @ SV356 @ SV526 @ SV811 )
= $false )
| ( ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
= $false )
| ( ( ~ ( sameside @ SV890 @ SV811 @ SV149 ) )
= $true )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3413]) ).
thf(3441,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3414]) ).
thf(3442,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3415]) ).
thf(3443,plain,
! [SV956: $i,SV388: $i,SV951: $i,SV185: $i,SV762: $i,SV685: $i,SV553: $i] :
( ( ( s_col @ SV553 @ SV685 @ SV762 )
= $false )
| ( ( s_t @ SV185 @ SV762 @ SV951 )
= $false )
| ( ( s_t @ SV388 @ SV956 @ SV951 )
= $false )
| ( ( ~ ( s_col @ SV553 @ SV685 @ SV956 ) )
= $true )
| ( ( SV553 = SV685 )
= $true )
| ( ( SV951 = SV762 )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3417]) ).
thf(3444,plain,
! [SV978: $i,SV554: $i,SV991: $i,SV389: $i,SV186: $i] :
( ( ( s_col @ SV186 @ SV389 @ SV991 )
= $false )
| ( ( SV186 = SV389 )
= $true )
| ( ( s_col @ SV186 @ SV389 @ SV554 )
= $true )
| ( ( s_col @ SV186 @ SV389 @ SV978 )
= $true )
| ( ( s_t @ SV554 @ SV991 @ SV978 )
= $false )
| ( ( opposite @ SV554 @ SV186 @ SV389 @ SV978 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3418]) ).
thf(3445,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 )
| ( s_t @ SV191 @ SV392 @ SV557 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3419]) ).
thf(3446,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3046: $i] :
( ! [SY3047: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3046 @ SY3047 )
| ( s_t @ SV766 @ SV827 @ SY3046 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3420]) ).
thf(3447,plain,
! [SV1011: $i,SV1008: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1008 @ SV1011 ) )
= $true )
| ( ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3421]) ).
thf(3448,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
| ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3423]) ).
thf(3449,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( SV192 != SV393 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3424]) ).
thf(3450,plain,
! [SV995: $i,SV767: $i,SV687: $i,SV558: $i,SV992: $i,SV393: $i,SV192: $i] :
( ( ( s_col @ SV192 @ SV393 @ SV992 )
= $false )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false )
| ( ( ~ ( s_col @ SV687 @ SV767 @ SV995 ) )
= $true )
| ( ( s_r @ SV992 @ SV558 @ SV995 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3426]) ).
thf(3451,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3427]) ).
thf(3452,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2586: $i,SY2587: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2586 @ SY2587 )
| ( s_col @ SY2586 @ SY2587 @ SV560 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3428]) ).
thf(3453,plain,
! [SV1012: $i,SV1009: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1009 @ SV1012 ) )
= $true )
| ( ( s_col @ SV194 @ SV395 @ SV560 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3429]) ).
thf(3454,plain,
! [SV1013: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ! [SY3160: $i] :
( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1013 @ SY3160 )
| ( s_t @ SV201 @ SV690 @ SY3160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3430]) ).
thf(3455,plain,
! [SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ! [SY2980: $i,SY2981: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SY2980 @ SY2981 ) )
= $true )
| ( ( s_t @ SV565 @ SV690 @ SV772 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3431]) ).
thf(3456,plain,
! [SV1010: $i,SV1006: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1006 @ SV1010 )
= $false )
| ( ( s_e @ SV690 @ SV201 @ SV690 @ SV565 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3432]) ).
thf(3457,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 )
| ( s_t @ SV206 @ SV403 @ SV567 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3433]) ).
thf(3458,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3072: $i] :
( ! [SY3073: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3072 @ SY3073 )
| ( s_t @ SV777 @ SV837 @ SY3072 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3434]) ).
thf(3459,plain,
! [SV1014: $i,SV1007: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1007 @ SV1014 ) )
= $true )
| ( ( s_e @ SV206 @ SV567 @ SV777 @ SV1007 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3435]) ).
thf(3460,plain,
! [SV853: $i,SV739: $i,SV657: $i,SV522: $i,SV352: $i,SV145: $i,SV807: $i,SV886: $i] :
( ( ( sameside @ SV886 @ SV807 @ SV145 )
= $false )
| ( ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
= $false )
| ( ( s_col @ SV352 @ SV522 @ SV807 )
= $false )
| ( ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
= $false )
| ( ( SV352 = SV522 )
= $true )
| ( ( s_col @ SV352 @ SV522 @ SV739 )
= $false )
| ( ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
= $false )
| ( ( s_m @ SV807 @ SV853 @ SV739 )
= $false )
| ( ( ~ ( le @ SV739 @ SV657 @ SV807 @ SV145 ) )
= $true )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3437]) ).
thf(3461,plain,
! [SV854: $i,SV523: $i,SV353: $i,SV887: $i,SV146: $i,SV808: $i,SV658: $i,SV740: $i] :
( ( ( le @ SV740 @ SV658 @ SV808 @ SV146 )
= $false )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
= $false )
| ( ( s_col @ SV353 @ SV523 @ SV808 )
= $false )
| ( ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
= $false )
| ( ( SV353 = SV523 )
= $true )
| ( ( s_col @ SV353 @ SV523 @ SV740 )
= $false )
| ( ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
= $false )
| ( ( s_m @ SV808 @ SV854 @ SV740 )
= $false )
| ( ( SV808 = SV740 )
= $true )
| ( ( ~ ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3438]) ).
thf(3462,plain,
! [SV855: $i,SV741: $i,SV659: $i,SV524: $i,SV354: $i,SV147: $i,SV809: $i,SV888: $i] :
( ( ( sameside @ SV888 @ SV809 @ SV147 )
= $false )
| ( ( perp @ SV354 @ SV524 @ SV659 @ SV741 )
= $false )
| ( ( s_col @ SV354 @ SV524 @ SV809 )
= $false )
| ( ( opposite @ SV147 @ SV354 @ SV524 @ SV659 )
= $false )
| ( ( SV354 = SV524 )
= $true )
| ( ( s_col @ SV354 @ SV524 @ SV741 )
= $false )
| ( ( perp @ SV354 @ SV524 @ SV147 @ SV809 )
= $false )
| ( ( s_m @ SV809 @ SV855 @ SV741 )
= $false )
| ( ( SV809 = SV741 )
= $false )
| ( ( sameside @ ( s @ SV855 @ SV888 ) @ SV741 @ SV659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3439]) ).
thf(3463,plain,
! [SV912: $i,SV857: $i,SV743: $i,SV661: $i,SV526: $i,SV356: $i,SV149: $i,SV811: $i,SV890: $i] :
( ( ( sameside @ SV890 @ SV811 @ SV149 )
= $false )
| ( ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
= $false )
| ( ( s_col @ SV356 @ SV526 @ SV811 )
= $false )
| ( ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
= $false )
| ( ( SV356 = SV526 )
= $true )
| ( ( s_col @ SV356 @ SV526 @ SV743 )
= $false )
| ( ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
= $false )
| ( ( s_m @ SV811 @ SV857 @ SV743 )
= $false )
| ( ( ~ ( sameside @ SV912 @ SV743 @ SV661 ) )
= $true )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3440]) ).
thf(3464,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3441]) ).
thf(3465,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3441]) ).
thf(3466,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3442]) ).
thf(3467,plain,
! [SV762: $i,SV185: $i,SV951: $i,SV388: $i,SV956: $i,SV685: $i,SV553: $i] :
( ( ( s_col @ SV553 @ SV685 @ SV956 )
= $false )
| ( ( s_t @ SV388 @ SV956 @ SV951 )
= $false )
| ( ( s_t @ SV185 @ SV762 @ SV951 )
= $false )
| ( ( s_col @ SV553 @ SV685 @ SV762 )
= $false )
| ( ( SV553 = SV685 )
= $true )
| ( ( SV951 = SV762 )
= $true )
| ( ( SV951 = SV956 )
= $true )
| ( ( SV185 = SV762 )
= $true )
| ( ( SV388 = SV956 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV185 )
= $true )
| ( ( s_col @ SV553 @ SV685 @ SV388 )
= $true )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3443]) ).
thf(3468,plain,
! [SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ! [SY3044: $i,SY3045: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SY3044 @ SY3045 ) )
= $true )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3445]) ).
thf(3469,plain,
! [SV1015: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ! [SY3161: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1015 @ SY3161 )
| ( s_t @ SV766 @ SV827 @ SV1015 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3446]) ).
thf(3470,plain,
! [SV1011: $i,SV1008: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1008 @ SV1011 )
= $false )
| ( ( s_e @ SV191 @ SV392 @ SV766 @ SV827 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3471,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3448]) ).
thf(3472,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3448]) ).
thf(3473,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false )
| ( ( SV192 != SV393 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3449]) ).
thf(3474,plain,
! [SV992: $i,SV558: $i,SV393: $i,SV192: $i,SV995: $i,SV767: $i,SV687: $i] :
( ( ( s_col @ SV687 @ SV767 @ SV995 )
= $false )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false )
| ( ( s_col @ SV192 @ SV393 @ SV992 )
= $false )
| ( ( s_r @ SV992 @ SV558 @ SV995 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3450]) ).
thf(3475,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
| ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3451]) ).
thf(3476,plain,
! [SV1016: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY3162: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1016 @ SY3162 )
| ( s_col @ SV1016 @ SY3162 @ SV560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3452]) ).
thf(3477,plain,
! [SV1012: $i,SV1009: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV1009 @ SV1012 )
= $false )
| ( ( s_col @ SV194 @ SV395 @ SV560 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3453]) ).
thf(3478,plain,
! [SV1017: $i,SV1013: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1013 @ SV1017 )
| ( s_t @ SV201 @ SV690 @ SV1017 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3454]) ).
thf(3479,plain,
! [SV1018: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ! [SY3163: $i] :
~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1018 @ SY3163 ) )
= $true )
| ( ( s_t @ SV565 @ SV690 @ SV772 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3455]) ).
thf(3480,plain,
! [SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ! [SY3070: $i,SY3071: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SY3070 @ SY3071 ) )
= $true )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3457]) ).
thf(3481,plain,
! [SV1019: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ! [SY3164: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1019 @ SY3164 )
| ( s_t @ SV777 @ SV837 @ SV1019 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3458]) ).
thf(3482,plain,
! [SV1014: $i,SV1007: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1007 @ SV1014 )
= $false )
| ( ( s_e @ SV206 @ SV567 @ SV777 @ SV1007 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3459]) ).
thf(3483,plain,
! [SV886: $i,SV522: $i,SV352: $i,SV853: $i,SV145: $i,SV807: $i,SV657: $i,SV739: $i] :
( ( ( le @ SV739 @ SV657 @ SV807 @ SV145 )
= $false )
| ( ( s_m @ SV807 @ SV853 @ SV739 )
= $false )
| ( ( perp @ SV352 @ SV522 @ SV145 @ SV807 )
= $false )
| ( ( s_col @ SV352 @ SV522 @ SV739 )
= $false )
| ( ( SV352 = SV522 )
= $true )
| ( ( opposite @ SV145 @ SV352 @ SV522 @ SV657 )
= $false )
| ( ( s_col @ SV352 @ SV522 @ SV807 )
= $false )
| ( ( perp @ SV352 @ SV522 @ SV657 @ SV739 )
= $false )
| ( ( sameside @ SV886 @ SV807 @ SV145 )
= $false )
| ( ( SV807 = SV739 )
= $true )
| ( ( sameside @ ( s @ SV853 @ SV886 ) @ SV739 @ SV657 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3460]) ).
thf(3484,plain,
! [SV146: $i,SV523: $i,SV353: $i,SV808: $i,SV658: $i,SV740: $i,SV887: $i,SV854: $i] :
( ( ( sameside @ ( s @ SV854 @ SV887 ) @ SV740 @ SV658 )
= $false )
| ( ( SV808 = SV740 )
= $true )
| ( ( s_m @ SV808 @ SV854 @ SV740 )
= $false )
| ( ( perp @ SV353 @ SV523 @ SV146 @ SV808 )
= $false )
| ( ( s_col @ SV353 @ SV523 @ SV740 )
= $false )
| ( ( SV353 = SV523 )
= $true )
| ( ( opposite @ SV146 @ SV353 @ SV523 @ SV658 )
= $false )
| ( ( s_col @ SV353 @ SV523 @ SV808 )
= $false )
| ( ( perp @ SV353 @ SV523 @ SV658 @ SV740 )
= $false )
| ( ( sameside @ SV887 @ SV808 @ SV146 )
= $true )
| ( ( le @ SV740 @ SV658 @ SV808 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3461]) ).
thf(3485,plain,
! [SV890: $i,SV149: $i,SV526: $i,SV356: $i,SV857: $i,SV811: $i,SV661: $i,SV743: $i,SV912: $i] :
( ( ( sameside @ SV912 @ SV743 @ SV661 )
= $false )
| ( ( s_m @ SV811 @ SV857 @ SV743 )
= $false )
| ( ( perp @ SV356 @ SV526 @ SV149 @ SV811 )
= $false )
| ( ( s_col @ SV356 @ SV526 @ SV743 )
= $false )
| ( ( SV356 = SV526 )
= $true )
| ( ( opposite @ SV149 @ SV356 @ SV526 @ SV661 )
= $false )
| ( ( s_col @ SV356 @ SV526 @ SV811 )
= $false )
| ( ( perp @ SV356 @ SV526 @ SV661 @ SV743 )
= $false )
| ( ( sameside @ SV890 @ SV811 @ SV149 )
= $false )
| ( ( opposite @ SV890 @ SV356 @ SV526 @ SV912 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3463]) ).
thf(3486,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3464]) ).
thf(3487,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3465]) ).
thf(3488,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 )
= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $false )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3466]) ).
thf(3489,plain,
! [SV1020: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ! [SY3165: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1020 @ SY3165 ) )
= $true )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3468]) ).
thf(3490,plain,
! [SV1015: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ! [SY3161: $i] :
~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1015 @ SY3161 ) )
= $true )
| ( ( s_t @ SV766 @ SV827 @ SV1015 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3469]) ).
thf(3491,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV192 @ SV393 @ SV558 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3471]) ).
thf(3492,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
| ( s_col @ SV687 @ SV767 @ SV558 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3472]) ).
thf(3493,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( SV192 = SV393 )
= $false )
| ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3473]) ).
thf(3494,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3475]) ).
thf(3495,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3475]) ).
thf(3496,plain,
! [SV1021: $i,SV1016: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1016 @ SV1021 )
| ( s_col @ SV1016 @ SV1021 @ SV560 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3476]) ).
thf(3497,plain,
! [SV1017: $i,SV1013: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1013 @ SV1017 ) )
= $true )
| ( ( s_t @ SV201 @ SV690 @ SV1017 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3478]) ).
thf(3498,plain,
! [SV1022: $i,SV1018: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( ~ ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1018 @ SV1022 ) )
= $true )
| ( ( s_t @ SV565 @ SV690 @ SV772 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3479]) ).
thf(3499,plain,
! [SV1023: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ! [SY3166: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1023 @ SY3166 ) )
= $true )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3480]) ).
thf(3500,plain,
! [SV1019: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ! [SY3164: $i] :
~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1019 @ SY3164 ) )
= $true )
| ( ( s_t @ SV777 @ SV837 @ SV1019 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3481]) ).
thf(3501,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3486]) ).
thf(3502,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3487]) ).
thf(3503,plain,
! [SV1024: $i,SV1020: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1020 @ SV1024 ) )
= $true )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3489]) ).
thf(3504,plain,
! [SV1025: $i,SV1015: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( ~ ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1015 @ SV1025 ) )
= $true )
| ( ( s_t @ SV766 @ SV827 @ SV1015 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3490]) ).
thf(3505,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( s_col @ SV192 @ SV393 @ SV558 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3491]) ).
thf(3506,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( ~ ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 ) )
= $true )
| ( ( s_col @ SV687 @ SV767 @ SV558 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3492]) ).
thf(3507,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 )
| ( SV194 != SV395 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3494]) ).
thf(3508,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY2584: $i,SY2585: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2584 @ SY2585 )
| ( SY2584 != SY2585 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3495]) ).
thf(3509,plain,
! [SV1021: $i,SV1016: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1016 @ SV1021 ) )
= $true )
| ( ( s_col @ SV1016 @ SV1021 @ SV560 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3496]) ).
thf(3510,plain,
! [SV1017: $i,SV1013: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1013 @ SV1017 )
= $false )
| ( ( s_t @ SV201 @ SV690 @ SV1017 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3497]) ).
thf(3511,plain,
! [SV1022: $i,SV1018: $i,SV772: $i,SV690: $i,SV565: $i,SV400: $i,SV201: $i] :
( ( ( s_kf @ SV201 @ SV400 @ SV565 @ SV690 @ SV772 @ SV1018 @ SV1022 )
= $false )
| ( ( s_t @ SV565 @ SV690 @ SV772 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3498]) ).
thf(3512,plain,
! [SV1026: $i,SV1023: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1023 @ SV1026 ) )
= $true )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3499]) ).
thf(3513,plain,
! [SV1027: $i,SV1019: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( ~ ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1019 @ SV1027 ) )
= $true )
| ( ( s_t @ SV777 @ SV837 @ SV1019 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3500]) ).
thf(3514,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3501]) ).
thf(3515,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3501]) ).
thf(3516,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( SV388
!= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3502]) ).
thf(3517,plain,
! [SV1024: $i,SV1020: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1020 @ SV1024 )
= $false )
| ( ( s_t @ SV191 @ SV392 @ SV557 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3503]) ).
thf(3518,plain,
! [SV1025: $i,SV1015: $i,SV827: $i,SV766: $i,SV686: $i,SV557: $i,SV392: $i,SV191: $i] :
( ( ( s_afs @ SV191 @ SV392 @ SV557 @ SV686 @ SV766 @ SV827 @ SV1015 @ SV1025 )
= $false )
| ( ( s_t @ SV766 @ SV827 @ SV1015 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3504]) ).
thf(3519,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false )
| ( ( s_col @ SV192 @ SV393 @ SV558 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3505]) ).
thf(3520,plain,
! [SV767: $i,SV687: $i,SV558: $i,SV393: $i,SV192: $i] :
( ( ( perpAt @ SV192 @ SV393 @ SV558 @ SV687 @ SV767 )
= $false )
| ( ( s_col @ SV687 @ SV767 @ SV558 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3506]) ).
thf(3521,plain,
! [SV560: $i,SV395: $i,SV194: $i] :
( ( ( ! [SY2582: $i,SY2583: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SY2582 @ SY2583 ) )
= $true )
| ( ( SV194 != SV395 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3507]) ).
thf(3522,plain,
! [SV1028: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ! [SY3167: $i] :
( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1028 @ SY3167 )
| ( SV1028 != SY3167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3508]) ).
thf(3523,plain,
! [SV1021: $i,SV1016: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV1016 @ SV1021 )
= $false )
| ( ( s_col @ SV1016 @ SV1021 @ SV560 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3509]) ).
thf(3524,plain,
! [SV1026: $i,SV1023: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1023 @ SV1026 )
= $false )
| ( ( s_t @ SV206 @ SV403 @ SV567 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3512]) ).
thf(3525,plain,
! [SV1027: $i,SV1019: $i,SV837: $i,SV777: $i,SV691: $i,SV567: $i,SV403: $i,SV206: $i] :
( ( ( s_ifs @ SV206 @ SV403 @ SV567 @ SV691 @ SV777 @ SV837 @ SV1019 @ SV1027 )
= $false )
| ( ( s_t @ SV777 @ SV837 @ SV1019 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3513]) ).
thf(3526,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3514]) ).
thf(3527,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3515]) ).
thf(3528,plain,
! [SV685: $i,SV553: $i,SV185: $i,SV388: $i] :
( ( ( SV388
= ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $false )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3516]) ).
thf(3529,plain,
! [SV1029: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ! [SY3168: $i] :
~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1029 @ SY3168 ) )
= $true )
| ( ( SV194 != SV395 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3521]) ).
thf(3530,plain,
! [SV1030: $i,SV1028: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1028 @ SV1030 )
| ( SV1028 != SV1030 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3522]) ).
thf(3531,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3526]) ).
thf(3532,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3527]) ).
thf(3533,plain,
! [SV1031: $i,SV1029: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1029 @ SV1031 ) )
= $true )
| ( ( SV194 != SV395 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3529]) ).
thf(3534,plain,
! [SV1030: $i,SV1028: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( ~ ( perpAt @ SV194 @ SV395 @ SV560 @ SV1028 @ SV1030 ) )
= $true )
| ( ( SV1028 != SV1030 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3530]) ).
thf(3535,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3531]) ).
thf(3536,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3531]) ).
thf(3537,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( SV185
!= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3532]) ).
thf(3538,plain,
! [SV1031: $i,SV1029: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV1029 @ SV1031 )
= $false )
| ( ( SV194 != SV395 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3533]) ).
thf(3539,plain,
! [SV1030: $i,SV1028: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV1028 @ SV1030 )
= $false )
| ( ( SV1028 != SV1030 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3534]) ).
thf(3540,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3535]) ).
thf(3541,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3536]) ).
thf(3542,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( SV185
= ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $false )
| ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3537]) ).
thf(3543,plain,
! [SV1031: $i,SV1029: $i,SV560: $i,SV395: $i,SV194: $i] :
( ( ( SV194 = SV395 )
= $false )
| ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV1029 @ SV1031 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3538]) ).
thf(3544,plain,
! [SV560: $i,SV395: $i,SV194: $i,SV1030: $i,SV1028: $i] :
( ( ( SV1028 = SV1030 )
= $false )
| ( ( perpAt @ SV194 @ SV395 @ SV560 @ SV1028 @ SV1030 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3539]) ).
thf(3545,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3540]) ).
thf(3546,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3541]) ).
thf(3547,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3545]) ).
thf(3548,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3545]) ).
thf(3549,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( s_t @ SV388 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3546]) ).
thf(3550,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3547]) ).
thf(3551,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3548]) ).
thf(3552,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
| ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3550]) ).
thf(3553,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3551]) ).
thf(3554,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3552]) ).
thf(3555,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3552]) ).
thf(3556,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( s_t @ SV185 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) @ ( ss3 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3553]) ).
thf(3557,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3554]) ).
thf(3558,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
| ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3555]) ).
thf(3559,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3557]) ).
thf(3560,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( ~ ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true )
| ( ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3558]) ).
thf(3561,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( s_col @ SV553 @ SV685 @ ( ss1 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3559]) ).
thf(3562,plain,
! [SV685: $i,SV553: $i,SV388: $i,SV185: $i] :
( ( ( samesideline @ SV185 @ SV388 @ SV553 @ SV685 )
= $false )
| ( ( s_col @ SV553 @ SV685 @ ( ss2 @ SV185 @ SV388 @ SV553 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3560]) ).
thf(3563,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[862,3562,3561,3556,3549,3544,3543,3542,3528,3525,3524,3523,3520,3519,3518,3517,3511,3510,3493,3488,3485,3484,3483,3482,3477,3474,3470,3467,3462,3456,3444,3436,3425,3422,3416,3412,3407,3404,3400,3399,3398,3390,3372,3364,3347,3346,3345,3344,3320,3309,3306,3299,3298,3295,3287,3284,3273,3269,3261,3251,3238,3237,3236,3235,3228,3221,3220,3207,3195,3191,3179,3167,3159,3153,3147,3144,3143,3141,3130,3116,3114,3106,3099,3098,3077,3074,3063,3059,3056,3051,3034,3022,3014,3005,2996,2995,2989,2988,2984,2981,2980,2979,2978,2937,2932,2930,2921,2914,2906,2886,2885,2882,2881,2880,2876,2875,2868,2867,2862,2849,2848,2847,2846,2841,2840,2815,2812,2798,2797,2773,2762,2756,2755,2746,2736,2724,2721,2714,2713,2712,2710,2708,2698,2692,2682,2657,2653,2648,2647,2641,2639,2637,2635,2616,2611,2610,2603,2602,2601,2600,2599,2593,2591,2590,2589,2585,2584,2582,2580,2578,2576,2570,2569,2567,2566,2560,2534,2519,2507,2506,2503,2499,2485,2476,2474,2470,2468,2452,2449,2448,2441,2436,2435,2419,2416,2413,2390,2387,2386,2378,2356,2338,2326,2318,2311,2310,2309,2308,2297,2292,2275,2274,2272,2271,2261,2260,2247,2245,2205,2202,2201,2198,2197,2192,2191,2190,2189,2181,2177,2167,2149,2145,2142,2133,2132,2120,2119,2112,2111,2110,2087,2011,2010,1996,1986,1983,1978,1968,1958,1943,1942,1936,1925,1893,1890,1889,1887,1824,1763,1761,1760,1754,1753,1747,1745,1743,1728,1719,1705,1704,1703,1702,1701,1690,1687,1679,1662,1635,1629,1618,1564,1545,1544,1539,1538,1535,1473,1341,1326,1314,1305,1282,1177,1157,1135,1132,1098,1086,1085,1075,1067,1065,1059,1054,1049,864,863]) ).
thf(3564,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO528+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 10:16:41 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 128.06/22.03 .
% 128.06/22.03
% 128.06/22.03 No.of.Axioms: 212
% 128.06/22.03
% 128.06/22.03 Length.of.Defs: 0
% 128.06/22.03
% 128.06/22.03 Contains.Choice.Funs: false
% 128.06/22.03 ........................................................................................................................................................................................................
% 128.06/22.03
% 128.06/22.03 ********************************
% 128.06/22.03 * All subproblems solved! *
% 128.06/22.03 ********************************
% 128.06/22.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:212,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:298,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3563,loop_count:0,foatp_calls:1,translation:fof_full)
% 128.06/22.03
% 128.06/22.03 %**** Beginning of derivation protocol ****
% 128.06/22.03 % SZS output start CNFRefutation
% See solution above
% 102.12/22.07
% 102.12/22.07 %**** End of derivation protocol ****
% 102.12/22.07 %**** no. of clauses in derivation: 3564 ****
% 102.12/22.07 %**** clause counter: 3563 ****
% 102.12/22.07
% 102.12/22.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:212,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:298,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3563,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------