%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV090+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:54:49 AM UTC 2026
% Result : Timeout 292.89s 49.45s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 33
% Syntax : Number of formulae : 3948 (2006 unt; 0 typ; 0 def)
% Number of atoms : 32219 (18372 equ; 0 cnn)
% Maximal formula atoms : 36 ( 8 avg)
% Number of connectives : 46937 (9288 ~;10824 |; 398 &;26194 @)
% ( 0 <=>; 233 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 59 usr; 18 con; 0-4 aty)
% Number of variables : 9321 ( 0 ^;9321 !; 0 ?;9321 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_select2,type,
a_select2: $i > $i > $i ).
thf(tp_a_select3,type,
a_select3: $i > $i > $i > $i ).
thf(tp_def,type,
def: $i ).
thf(tp_dim,type,
dim: $i > $i > $i ).
thf(tp_geq,type,
geq: $i > $i > $o ).
thf(tp_gt,type,
gt: $i > $i > $o ).
thf(tp_inv,type,
inv: $i > $i ).
thf(tp_leq,type,
leq: $i > $i > $o ).
thf(tp_lt,type,
lt: $i > $i > $o ).
thf(tp_minus,type,
minus: $i > $i > $i ).
thf(tp_n0,type,
n0: $i ).
thf(tp_n1,type,
n1: $i ).
thf(tp_n2,type,
n2: $i ).
thf(tp_n3,type,
n3: $i ).
thf(tp_n4,type,
n4: $i ).
thf(tp_n5,type,
n5: $i ).
thf(tp_plus,type,
plus: $i > $i > $i ).
thf(tp_pred,type,
pred: $i > $i ).
thf(tp_rho_defuse,type,
rho_defuse: $i ).
thf(tp_sK10_SY526,type,
sK10_SY526: $i > $i > $i > $i > $i ).
thf(tp_sK11_SY576,type,
sK11_SY576: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY622,type,
sK12_SY622: $i > $i > $i > $i > $i ).
thf(tp_sK13_SY672,type,
sK13_SY672: $i > $i > $i > $i > $i ).
thf(tp_sK14_SY723,type,
sK14_SY723: $i > $i > $i > $i > $i ).
thf(tp_sK15_SY773,type,
sK15_SY773: $i > $i > $i > $i > $i ).
thf(tp_sK16_SY822,type,
sK16_SY822: $i > $i > $i > $i > $i ).
thf(tp_sK17_SY876,type,
sK17_SY876: $i > $i > $i > $i > $i ).
thf(tp_sK18_SY926,type,
sK18_SY926: $i > $i > $i > $i > $i ).
thf(tp_sK19_SY976,type,
sK19_SY976: $i > $i > $i > $i > $i ).
thf(tp_sK1_SY76,type,
sK1_SY76: $i > $i > $i > $i > $i ).
thf(tp_sK20_SY1022,type,
sK20_SY1022: $i > $i > $i > $i > $i ).
thf(tp_sK21_SY1072,type,
sK21_SY1072: $i > $i > $i > $i > $i ).
thf(tp_sK2_SY126,type,
sK2_SY126: $i > $i > $i > $i > $i ).
thf(tp_sK3_SY172,type,
sK3_SY172: $i > $i > $i > $i > $i ).
thf(tp_sK4_SY225,type,
sK4_SY225: $i > $i > $i > $i > $i ).
thf(tp_sK5_SY272,type,
sK5_SY272: $i > $i > $i > $i > $i ).
thf(tp_sK6_SY322,type,
sK6_SY322: $i > $i > $i > $i > $i ).
thf(tp_sK7_SY373,type,
sK7_SY373: $i > $i > $i > $i > $i ).
thf(tp_sK8_SY422,type,
sK8_SY422: $i > $i > $i > $i > $i ).
thf(tp_sK9_SY476,type,
sK9_SY476: $i > $i > $i > $i > $i ).
thf(tp_sigma_defuse,type,
sigma_defuse: $i ).
thf(tp_succ,type,
succ: $i > $i ).
thf(tp_sum,type,
sum: $i > $i > $i > $i ).
thf(tp_tptp_const_array1,type,
tptp_const_array1: $i > $i > $i ).
thf(tp_tptp_const_array2,type,
tptp_const_array2: $i > $i > $i > $i ).
thf(tp_tptp_float_0_0,type,
tptp_float_0_0: $i ).
thf(tp_tptp_madd,type,
tptp_madd: $i > $i > $i ).
thf(tp_tptp_minus_1,type,
tptp_minus_1: $i ).
thf(tp_tptp_mmul,type,
tptp_mmul: $i > $i > $i ).
thf(tp_tptp_msub,type,
tptp_msub: $i > $i > $i ).
thf(tp_tptp_update2,type,
tptp_update2: $i > $i > $i > $i ).
thf(tp_tptp_update3,type,
tptp_update3: $i > $i > $i > $i > $i ).
thf(tp_trans,type,
trans: $i > $i ).
thf(tp_true,type,
true: $o ).
thf(tp_u_defuse,type,
u_defuse: $i ).
thf(tp_uniform_int_rnd,type,
uniform_int_rnd: $i > $i > $i ).
thf(tp_use,type,
use: $i ).
thf(tp_xinit_defuse,type,
xinit_defuse: $i ).
thf(tp_xinit_mean_defuse,type,
xinit_mean_defuse: $i ).
thf(1,axiom,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
thf(2,axiom,
( ( succ @ ( succ @ n0 ) )
= n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
thf(3,axiom,
( ( succ @ n0 )
= n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
thf(4,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
thf(5,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
thf(6,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_3) ).
thf(7,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
thf(8,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_1) ).
thf(9,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
thf(10,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_5) ).
thf(11,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_4) ).
thf(12,axiom,
gt @ n5 @ n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
thf(13,axiom,
gt @ n4 @ n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
thf(14,axiom,
gt @ n3 @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
thf(15,axiom,
gt @ n5 @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
thf(16,axiom,
gt @ n4 @ n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
thf(17,axiom,
gt @ n3 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
thf(18,axiom,
gt @ n2 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
thf(19,axiom,
gt @ n5 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
thf(20,axiom,
gt @ n4 @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
thf(21,axiom,
gt @ n3 @ n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
thf(22,axiom,
gt @ n2 @ n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
thf(23,axiom,
gt @ n1 @ n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
thf(24,axiom,
gt @ n5 @ n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
thf(25,axiom,
gt @ n4 @ n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
thf(32,axiom,
gt @ n5 @ n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
thf(33,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
thf(35,axiom,
! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel2_update_3) ).
thf(36,axiom,
! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel2_update_2) ).
thf(37,axiom,
! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel2_update_1) ).
thf(39,axiom,
! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel3_update_2) ).
thf(40,axiom,
! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sel3_update_1) ).
thf(85,conjecture,
( ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use ) )
=> ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).
thf(86,negated_conjecture,
( ( ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use ) )
=> ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[85]) ).
thf(87,plain,
( ( ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use ) )
=> ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) )
= $false ),
inference(unfold_def,[status(thm)],[86]) ).
thf(88,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(89,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(90,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(91,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(92,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(93,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(94,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(95,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(96,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(97,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(98,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(99,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(100,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(101,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(102,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(103,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(104,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(105,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(106,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(107,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(108,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(109,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(110,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(111,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(112,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(113,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(114,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(115,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(116,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(117,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(118,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(119,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(120,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(121,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(122,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(123,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(124,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(125,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(126,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(127,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(128,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(129,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(130,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(131,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(132,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(133,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(134,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(135,plain,
( ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) )
= $false ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(136,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(137,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(138,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(139,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(140,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(141,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(142,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(143,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(144,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(145,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(146,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(147,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(148,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(149,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(150,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(151,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(152,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(153,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(154,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(155,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(156,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[135]) ).
thf(157,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[136]) ).
thf(158,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[137]) ).
thf(159,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[138]) ).
thf(160,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[139]) ).
thf(161,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[140]) ).
thf(162,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[141]) ).
thf(163,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[142]) ).
thf(164,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[143]) ).
thf(165,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[144]) ).
thf(166,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[145]) ).
thf(167,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[146]) ).
thf(168,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[147]) ).
thf(169,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[148]) ).
thf(170,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[149]) ).
thf(171,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[150]) ).
thf(172,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[151]) ).
thf(173,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[152]) ).
thf(174,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[153]) ).
thf(175,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[154]) ).
thf(176,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[155]) ).
thf(177,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[156]) ).
thf(178,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(179,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(180,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(181,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(182,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(183,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(184,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(185,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(186,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(187,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(188,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(189,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(190,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(191,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(192,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(193,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(194,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(195,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(196,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(197,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(198,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(199,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(200,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(201,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(202,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(203,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(204,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(205,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(206,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(207,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(208,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(209,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(210,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(211,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(212,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(213,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(214,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(215,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(216,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(217,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(218,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(219,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(220,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(221,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(222,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(223,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(224,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(225,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(226,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(227,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(228,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(229,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(230,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(231,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(232,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(233,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(234,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(235,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(236,plain,
! [SV1: $i] :
( ( ! [SY30: $i,SY31: $i,SY32: $i] :
( ( a_select3 @ ( tptp_update3 @ SV1 @ SY30 @ SY31 @ SY32 ) @ SY30 @ SY31 )
= SY32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(237,plain,
! [SV2: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ( a_select2 @ ( tptp_update2 @ SV2 @ SY33 @ SY34 ) @ SY33 )
= SY34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(238,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(239,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV3 )
| ~ ( leq @ SV3 @ n1 ) )
| ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(240,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV4 )
| ~ ( leq @ SV4 @ n2 ) )
| ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(241,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n0 ) )
| ( SV5 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(242,plain,
! [SV6: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n5 ) )
| ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 )
| ( SV6 = n4 )
| ( SV6 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(243,plain,
! [SV7: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i,SY38: $i,SY39: $i,SY40: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV7 != SY36 ) )
| ( SY35 != SY37 ) )
| ( ( a_select3 @ SY38 @ SY36 @ SY37 )
!= SY39 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY38 @ SV7 @ SY35 @ SY40 ) @ SY36 @ SY37 )
= SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(244,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(245,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n4 ) )
| ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(246,plain,
! [SV9: $i] :
( ( ! [SY41: $i,SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( ( SV9 != SY41 ) )
| ( ( a_select2 @ SY42 @ SY41 )
!= SY43 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY42 @ SV9 @ SY44 ) @ SY41 )
= SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(247,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) )
| ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(248,plain,
! [SV11: $i] :
( ( ! [SY45: $i,SY46: $i,SY47: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY45 ) )
| ( ( a_select2 @ SY46 @ SX4 )
= SY47 ) )
| ~ ( leq @ n0 @ SV11 ) )
| ~ ( leq @ SV11 @ SY45 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY46 @ SY45 @ SY47 ) @ SV11 )
= SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(249,plain,
! [SV12: $i,SV1: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ( a_select3 @ ( tptp_update3 @ SV1 @ SV12 @ SY49 @ SY50 ) @ SV12 @ SY49 )
= SY50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(250,plain,
! [SV13: $i,SV2: $i] :
( ( ! [SY51: $i] :
( ( a_select2 @ ( tptp_update2 @ SV2 @ SV13 @ SY51 ) @ SV13 )
= SY51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(251,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV3 )
| ~ ( leq @ SV3 @ n1 ) ) )
= $true )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(252,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV4 )
| ~ ( leq @ SV4 @ n2 ) ) )
= $true )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(253,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n0 ) ) )
= $true )
| ( ( SV5 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(254,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n5 ) ) )
= $true )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 )
| ( SV6 = n4 )
| ( SV6 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(255,plain,
! [SV14: $i,SV7: $i] :
( ( ! [SY52: $i,SY53: $i,SY54: $i,SY55: $i,SY56: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV7 != SY52 ) )
| ( SV14 != SY53 ) )
| ( ( a_select3 @ SY54 @ SY52 @ SY53 )
!= SY55 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY54 @ SV7 @ SV14 @ SY56 ) @ SY52 @ SY53 )
= SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(256,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n4 ) ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(257,plain,
! [SV15: $i,SV9: $i] :
( ( ! [SY57: $i,SY58: $i,SY59: $i] :
( ~ ~ ( ~ ( ( SV9 != SV15 ) )
| ( ( a_select2 @ SY57 @ SV15 )
!= SY58 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY57 @ SV9 @ SY59 ) @ SV15 )
= SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(258,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) ) )
= $true )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(259,plain,
! [SV11: $i,SV16: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY62: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY62 )
| ~ ( leq @ SY62 @ SV16 ) )
| ( ( a_select2 @ SY60 @ SY62 )
= SY61 ) )
| ~ ( leq @ n0 @ SV11 ) )
| ~ ( leq @ SV11 @ SV16 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY60 @ SV16 @ SY61 ) @ SV11 )
= SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(260,plain,
! [SV17: $i,SV12: $i,SV1: $i] :
( ( ! [SY63: $i] :
( ( a_select3 @ ( tptp_update3 @ SV1 @ SV12 @ SV17 @ SY63 ) @ SV12 @ SV17 )
= SY63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(261,plain,
! [SV18: $i,SV13: $i,SV2: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV2 @ SV13 @ SV18 ) @ SV13 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(262,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV3 )
| ~ ( leq @ SV3 @ n1 ) ) )
= $false )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(263,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV4 )
| ~ ( leq @ SV4 @ n2 ) ) )
= $false )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(264,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n0 ) ) )
= $false )
| ( ( SV5 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(265,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n5 ) ) )
= $false )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 )
| ( SV6 = n4 )
| ( SV6 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(266,plain,
! [SV14: $i,SV19: $i,SV7: $i] :
( ( ! [SY64: $i,SY65: $i,SY66: $i,SY67: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SY64 ) )
| ( ( a_select3 @ SY65 @ SV19 @ SY64 )
!= SY66 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY65 @ SV7 @ SV14 @ SY67 ) @ SV19 @ SY64 )
= SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(267,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n4 ) ) )
= $false )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(268,plain,
! [SV20: $i,SV15: $i,SV9: $i] :
( ( ! [SY68: $i,SY69: $i] :
( ~ ~ ( ~ ( ( SV9 != SV15 ) )
| ( ( a_select2 @ SV20 @ SV15 )
!= SY68 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SY69 ) @ SV15 )
= SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(269,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) ) )
= $false )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(270,plain,
! [SV11: $i,SV21: $i,SV16: $i] :
( ( ! [SY70: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY71: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY71 )
| ~ ( leq @ SY71 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY71 )
= SY70 ) )
| ~ ( leq @ n0 @ SV11 ) )
| ~ ( leq @ SV11 @ SV16 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SY70 ) @ SV11 )
= SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(271,plain,
! [SV22: $i,SV17: $i,SV12: $i,SV1: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV1 @ SV12 @ SV17 @ SV22 ) @ SV12 @ SV17 )
= SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(272,plain,
! [SV3: $i] :
( ( ( ~ ( leq @ n0 @ SV3 )
| ~ ( leq @ SV3 @ n1 ) )
= $true )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(273,plain,
! [SV4: $i] :
( ( ( ~ ( leq @ n0 @ SV4 )
| ~ ( leq @ SV4 @ n2 ) )
= $true )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(274,plain,
! [SV5: $i] :
( ( ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n0 ) )
= $true )
| ( ( SV5 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(275,plain,
! [SV6: $i] :
( ( ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n5 ) )
= $true )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 )
| ( SV6 = n4 )
| ( SV6 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(276,plain,
! [SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ! [SY72: $i,SY73: $i,SY74: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) )
| ( ( a_select3 @ SY72 @ SV19 @ SV23 )
!= SY73 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY72 @ SV7 @ SV14 @ SY74 ) @ SV19 @ SV23 )
= SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(277,plain,
! [SV8: $i] :
( ( ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n4 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(278,plain,
! [SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ! [SY75: $i] :
( ~ ~ ( ~ ( ( SV9 != SV15 ) )
| ( ( a_select2 @ SV20 @ SV15 )
!= SV24 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SY75 ) @ SV15 )
= SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(279,plain,
! [SV10: $i] :
( ( ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) )
= $true )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(280,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) )
| ~ ( leq @ n0 @ SV11 ) )
| ~ ( leq @ SV11 @ SV16 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(281,plain,
! [SV3: $i] :
( ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ n1 ) )
= $true )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(282,plain,
! [SV4: $i] :
( ( ( ~ ( leq @ n0 @ SV4 ) )
= $true )
| ( ( ~ ( leq @ SV4 @ n2 ) )
= $true )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(283,plain,
! [SV5: $i] :
( ( ( ~ ( leq @ n0 @ SV5 ) )
= $true )
| ( ( ~ ( leq @ SV5 @ n0 ) )
= $true )
| ( ( SV5 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV6: $i] :
( ( ( ~ ( leq @ n0 @ SV6 ) )
= $true )
| ( ( ~ ( leq @ SV6 @ n5 ) )
= $true )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 )
| ( SV6 = n4 )
| ( SV6 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(285,plain,
! [SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) )
| ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SY77 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SY78 ) @ SV19 @ SV23 )
= SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(286,plain,
! [SV8: $i] :
( ( ( ~ ( leq @ n0 @ SV8 ) )
= $true )
| ( ( ~ ( leq @ SV8 @ n4 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(287,plain,
! [SV27: $i,SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ~ ~ ( ~ ( ( SV9 != SV15 ) )
| ( ( a_select2 @ SV20 @ SV15 )
!= SV24 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SV27 ) @ SV15 )
= SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(288,plain,
! [SV10: $i] :
( ( ( ~ ( leq @ n0 @ SV10 ) )
= $true )
| ( ( ~ ( leq @ SV10 @ n3 ) )
= $true )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(289,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) )
| ~ ( leq @ n0 @ SV11 ) )
| ~ ( leq @ SV11 @ SV16 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(290,plain,
! [SV3: $i] :
( ( ( leq @ n0 @ SV3 )
= $false )
| ( ( ~ ( leq @ SV3 @ n1 ) )
= $true )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(291,plain,
! [SV4: $i] :
( ( ( leq @ n0 @ SV4 )
= $false )
| ( ( ~ ( leq @ SV4 @ n2 ) )
= $true )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(292,plain,
! [SV5: $i] :
( ( ( leq @ n0 @ SV5 )
= $false )
| ( ( ~ ( leq @ SV5 @ n0 ) )
= $true )
| ( ( SV5 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(293,plain,
! [SV6: $i] :
( ( ( leq @ n0 @ SV6 )
= $false )
| ( ( ~ ( leq @ SV6 @ n5 ) )
= $true )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 )
| ( SV6 = n4 )
| ( SV6 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(294,plain,
! [SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ! [SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) )
| ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SY79 ) @ SV19 @ SV23 )
= SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(295,plain,
! [SV8: $i] :
( ( ( leq @ n0 @ SV8 )
= $false )
| ( ( ~ ( leq @ SV8 @ n4 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(296,plain,
! [SV27: $i,SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( ( SV9 != SV15 ) )
| ( ( a_select2 @ SV20 @ SV15 )
!= SV24 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SV27 ) @ SV15 )
= SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(297,plain,
! [SV10: $i] :
( ( ( leq @ n0 @ SV10 )
= $false )
| ( ( ~ ( leq @ SV10 @ n3 ) )
= $true )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(298,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) )
| ~ ( leq @ n0 @ SV11 ) )
| ~ ( leq @ SV11 @ SV16 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(299,plain,
! [SV3: $i] :
( ( ( leq @ SV3 @ n1 )
= $false )
| ( ( leq @ n0 @ SV3 )
= $false )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(300,plain,
! [SV4: $i] :
( ( ( leq @ SV4 @ n2 )
= $false )
| ( ( leq @ n0 @ SV4 )
= $false )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(301,plain,
! [SV5: $i] :
( ( ( leq @ SV5 @ n0 )
= $false )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( SV5 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(302,plain,
! [SV6: $i] :
( ( ( leq @ SV6 @ n5 )
= $false )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 )
| ( SV6 = n4 )
| ( SV6 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(303,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) )
| ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(304,plain,
! [SV8: $i] :
( ( ( leq @ SV8 @ n4 )
= $false )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(305,plain,
! [SV27: $i,SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ~ ( ( SV9 != SV15 ) )
| ( ( a_select2 @ SV20 @ SV15 )
!= SV24 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SV27 ) @ SV15 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(306,plain,
! [SV10: $i] :
( ( ( leq @ SV10 @ n3 )
= $false )
| ( ( leq @ n0 @ SV10 )
= $false )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(307,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) )
| ~ ( leq @ n0 @ SV11 ) )
| ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(308,plain,
! [SV3: $i] :
( ( ( SV3 = n0 )
= $true )
| ( ( SV3 = n1 )
= $true )
| ( ( leq @ n0 @ SV3 )
= $false )
| ( ( leq @ SV3 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(309,plain,
! [SV4: $i] :
( ( ( ( SV4 = n0 )
| ( SV4 = n1 ) )
= $true )
| ( ( SV4 = n2 )
= $true )
| ( ( leq @ n0 @ SV4 )
= $false )
| ( ( leq @ SV4 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(310,plain,
! [SV6: $i] :
( ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 )
| ( SV6 = n4 ) )
= $true )
| ( ( SV6 = n5 )
= $true )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( leq @ SV6 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(311,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) )
| ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(312,plain,
! [SV8: $i] :
( ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 ) )
= $true )
| ( ( SV8 = n4 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(313,plain,
! [SV27: $i,SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV15 ) )
| ( ( a_select2 @ SV20 @ SV15 )
!= SV24 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SV27 ) @ SV15 )
= SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(314,plain,
! [SV10: $i] :
( ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 ) )
= $true )
| ( ( SV10 = n3 )
= $true )
| ( ( leq @ n0 @ SV10 )
= $false )
| ( ( leq @ SV10 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(315,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) )
| ~ ( leq @ n0 @ SV11 ) ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(316,plain,
! [SV4: $i] :
( ( ( SV4 = n0 )
= $true )
| ( ( SV4 = n1 )
= $true )
| ( ( SV4 = n2 )
= $true )
| ( ( leq @ n0 @ SV4 )
= $false )
| ( ( leq @ SV4 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(317,plain,
! [SV6: $i] :
( ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 )
| ( SV6 = n3 ) )
= $true )
| ( ( SV6 = n4 )
= $true )
| ( ( SV6 = n5 )
= $true )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( leq @ SV6 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(318,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) )
| ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(319,plain,
! [SV8: $i] :
( ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 ) )
= $true )
| ( ( SV8 = n3 )
= $true )
| ( ( SV8 = n4 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(320,plain,
! [SV27: $i,SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV15 ) ) )
= $true )
| ( ( ( a_select2 @ SV20 @ SV15 )
!= SV24 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SV27 ) @ SV15 )
= SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(321,plain,
! [SV10: $i] :
( ( ( ( SV10 = n0 )
| ( SV10 = n1 ) )
= $true )
| ( ( SV10 = n2 )
= $true )
| ( ( SV10 = n3 )
= $true )
| ( ( leq @ n0 @ SV10 )
= $false )
| ( ( leq @ SV10 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(322,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ( ~ ( ~ ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) )
| ~ ( leq @ n0 @ SV11 ) ) )
= $false )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(323,plain,
! [SV6: $i] :
( ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 ) )
= $true )
| ( ( SV6 = n3 )
= $true )
| ( ( SV6 = n4 )
= $true )
| ( ( SV6 = n5 )
= $true )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( leq @ SV6 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(324,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) )
| ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(325,plain,
! [SV8: $i] :
( ( ( ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true )
| ( ( SV8 = n2 )
= $true )
| ( ( SV8 = n3 )
= $true )
| ( ( SV8 = n4 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(326,plain,
! [SV27: $i,SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ( SV9 != SV15 )
= $false )
| ( ( ( a_select2 @ SV20 @ SV15 )
!= SV24 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SV27 ) @ SV15 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(327,plain,
! [SV10: $i] :
( ( ( SV10 = n0 )
= $true )
| ( ( SV10 = n1 )
= $true )
| ( ( SV10 = n2 )
= $true )
| ( ( SV10 = n3 )
= $true )
| ( ( leq @ n0 @ SV10 )
= $false )
| ( ( leq @ SV10 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(328,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) )
| ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(329,plain,
! [SV6: $i] :
( ( ( ( SV6 = n0 )
| ( SV6 = n1 ) )
= $true )
| ( ( SV6 = n2 )
= $true )
| ( ( SV6 = n3 )
= $true )
| ( ( SV6 = n4 )
= $true )
| ( ( SV6 = n5 )
= $true )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( leq @ SV6 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(330,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) ) )
= $true )
| ( ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(331,plain,
! [SV8: $i] :
( ( ( SV8 = n0 )
= $true )
| ( ( SV8 = n1 )
= $true )
| ( ( SV8 = n2 )
= $true )
| ( ( SV8 = n3 )
= $true )
| ( ( SV8 = n4 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(332,plain,
! [SV27: $i,SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ( SV9 = SV15 )
= $true )
| ( ( ( a_select2 @ SV20 @ SV15 )
!= SV24 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SV27 ) @ SV15 )
= SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(333,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(334,plain,
! [SV6: $i] :
( ( ( SV6 = n0 )
= $true )
| ( ( SV6 = n1 )
= $true )
| ( ( SV6 = n2 )
= $true )
| ( ( SV6 = n3 )
= $true )
| ( ( SV6 = n4 )
= $true )
| ( ( SV6 = n5 )
= $true )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( leq @ SV6 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(335,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) ) )
= $false )
| ( ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(336,plain,
! [SV27: $i,SV9: $i,SV24: $i,SV15: $i,SV20: $i] :
( ( ( ( a_select2 @ SV20 @ SV15 )
= SV24 )
= $false )
| ( ( SV9 = SV15 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV9 @ SV27 ) @ SV15 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(337,plain,
! [SV11: $i,SV25: $i,SV21: $i,SV16: $i] :
( ( ( ! [SY76: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY76 )
| ~ ( leq @ SY76 @ SV16 ) )
| ( ( a_select2 @ SV21 @ SY76 )
= SV25 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(338,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != SV19 ) )
| ( SV14 != SV23 ) )
= $true )
| ( ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(339,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
| ~ ( leq @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) @ SV16 ) )
| ( ( a_select2 @ SV21 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
= SV25 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[337]) ).
thf(340,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != SV19 ) ) )
= $true )
| ( ( SV14 != SV23 )
= $true )
| ( ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(341,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
| ~ ( leq @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) @ SV16 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(342,plain,
! [SV16: $i,SV25: $i,SV11: $i,SV21: $i] :
( ( ( ( a_select2 @ SV21 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
= SV25 )
= $false )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(343,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( SV7 != SV19 )
= $false )
| ( ( SV14 != SV23 )
= $true )
| ( ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(344,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
| ~ ( leq @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) @ SV16 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(345,plain,
! [SV16: $i,SV25: $i,SV21: $i,SV11: $i] :
( ( ( leq @ n0 @ SV11 )
= $false )
| ( ( ( a_select2 @ SV21 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
= SV25 )
= $false )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(346,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV23: $i,SV14: $i,SV19: $i,SV7: $i] :
( ( ( SV7 = SV19 )
= $true )
| ( ( SV14 != SV23 )
= $true )
| ( ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(347,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( leq @ n0 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
| ~ ( leq @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) @ SV16 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(348,plain,
! [SV25: $i,SV21: $i,SV16: $i,SV11: $i] :
( ( ( leq @ SV11 @ SV16 )
= $false )
| ( ( ( a_select2 @ SV21 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
= SV25 )
= $false )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(349,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV19: $i,SV7: $i,SV23: $i,SV14: $i] :
( ( ( SV14 = SV23 )
= $false )
| ( ( SV7 = SV19 )
= $true )
| ( ( ( a_select3 @ SV26 @ SV19 @ SV23 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(350,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( leq @ n0 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(351,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( ~ ( leq @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) @ SV16 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(352,plain,
! [SV29: $i,SV14: $i,SV7: $i,SV28: $i,SV23: $i,SV19: $i,SV26: $i] :
( ( ( ( a_select3 @ SV26 @ SV19 @ SV23 )
= SV28 )
= $false )
| ( ( SV7 = SV19 )
= $true )
| ( ( SV14 = SV23 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV7 @ SV14 @ SV29 ) @ SV19 @ SV23 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(353,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( leq @ n0 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(354,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( leq @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(355,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ n0 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(356,plain,
! [SV16: $i,SV21: $i,SV25: $i,SV11: $i] :
( ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ( leq @ SV11 @ SV16 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(357,plain,
! [SV21: $i,SV25: $i,SV16: $i,SV11: $i] :
( ( ( leq @ SV11 @ SV16 )
= $false )
| ( ( leq @ n0 @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) )
= $true )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(358,plain,
! [SV21: $i,SV25: $i,SV16: $i,SV11: $i] :
( ( ( leq @ SV11 @ SV16 )
= $false )
| ( ( leq @ ( sK1_SY76 @ SV11 @ SV25 @ SV21 @ SV16 ) @ SV16 )
= $true )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV16 @ SV25 ) @ SV11 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(359,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[184,358,357,352,348,336,334,331,327,316,308,301,271,261,244,238,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,198,197,196,195,194,193,192,191,190,189,188,187,186,185]) ).
thf(360,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(361,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(362,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(363,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(364,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(365,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(366,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(367,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(368,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(369,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(370,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(371,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(372,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(373,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(374,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(375,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(376,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(377,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(378,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(379,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(380,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(381,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(382,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(383,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(384,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(385,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(386,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(387,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(388,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(389,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(390,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(391,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(392,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(393,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(394,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(395,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(396,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(397,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(398,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(399,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(400,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(401,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(402,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(403,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(404,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(405,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(406,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(407,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
!= use )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(408,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(409,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(410,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(411,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(412,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(413,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(414,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(415,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(416,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(417,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(418,plain,
! [SV30: $i] :
( ( ! [SY80: $i,SY81: $i,SY82: $i] :
( ( a_select3 @ ( tptp_update3 @ SV30 @ SY80 @ SY81 @ SY82 ) @ SY80 @ SY81 )
= SY82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(419,plain,
! [SV31: $i] :
( ( ! [SY83: $i,SY84: $i] :
( ( a_select2 @ ( tptp_update2 @ SV31 @ SY83 @ SY84 ) @ SY83 )
= SY84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(420,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(421,plain,
! [SV32: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV32 )
| ~ ( leq @ SV32 @ n0 ) )
| ( SV32 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(422,plain,
! [SV33: $i] :
( ( ! [SY85: $i,SY86: $i,SY87: $i,SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV33 != SY86 ) )
| ( SY85 != SY87 ) )
| ( ( a_select3 @ SY88 @ SY86 @ SY87 )
!= SY89 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY88 @ SV33 @ SY85 @ SY90 ) @ SY86 @ SY87 )
= SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(423,plain,
! [SV34: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV34 )
| ~ ( leq @ SV34 @ n5 ) )
| ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 )
| ( SV34 = n4 )
| ( SV34 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(424,plain,
! [SV35: $i] :
( ( ! [SY91: $i,SY92: $i,SY93: $i,SY94: $i] :
( ~ ~ ( ~ ( ( SV35 != SY91 ) )
| ( ( a_select2 @ SY92 @ SY91 )
!= SY93 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY92 @ SV35 @ SY94 ) @ SY91 )
= SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(425,plain,
! [SV36: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n1 ) )
| ( SV36 = n0 )
| ( SV36 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(426,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(427,plain,
! [SV37: $i] :
( ( ! [SY95: $i,SY96: $i,SY97: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY95 ) )
| ( ( a_select2 @ SY96 @ SX4 )
= SY97 ) )
| ~ ( leq @ n0 @ SV37 ) )
| ~ ( leq @ SV37 @ SY95 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY96 @ SY95 @ SY97 ) @ SV37 )
= SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(428,plain,
! [SV38: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV38 )
| ~ ( leq @ SV38 @ n4 ) )
| ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 )
| ( SV38 = n3 )
| ( SV38 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(429,plain,
! [SV39: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n2 ) )
| ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(430,plain,
! [SV40: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV40 )
| ~ ( leq @ SV40 @ n3 ) )
| ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(431,plain,
! [SV41: $i,SV30: $i] :
( ( ! [SY99: $i,SY100: $i] :
( ( a_select3 @ ( tptp_update3 @ SV30 @ SV41 @ SY99 @ SY100 ) @ SV41 @ SY99 )
= SY100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(432,plain,
! [SV42: $i,SV31: $i] :
( ( ! [SY101: $i] :
( ( a_select2 @ ( tptp_update2 @ SV31 @ SV42 @ SY101 ) @ SV42 )
= SY101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(433,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV32 )
| ~ ( leq @ SV32 @ n0 ) ) )
= $true )
| ( ( SV32 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(434,plain,
! [SV43: $i,SV33: $i] :
( ( ! [SY102: $i,SY103: $i,SY104: $i,SY105: $i,SY106: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV33 != SY102 ) )
| ( SV43 != SY103 ) )
| ( ( a_select3 @ SY104 @ SY102 @ SY103 )
!= SY105 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY104 @ SV33 @ SV43 @ SY106 ) @ SY102 @ SY103 )
= SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(435,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV34 )
| ~ ( leq @ SV34 @ n5 ) ) )
= $true )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 )
| ( SV34 = n4 )
| ( SV34 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(436,plain,
! [SV44: $i,SV35: $i] :
( ( ! [SY107: $i,SY108: $i,SY109: $i] :
( ~ ~ ( ~ ( ( SV35 != SV44 ) )
| ( ( a_select2 @ SY107 @ SV44 )
!= SY108 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY107 @ SV35 @ SY109 ) @ SV44 )
= SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(437,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n1 ) ) )
= $true )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(438,plain,
! [SV37: $i,SV45: $i] :
( ( ! [SY110: $i,SY111: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY112: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY112 )
| ~ ( leq @ SY112 @ SV45 ) )
| ( ( a_select2 @ SY110 @ SY112 )
= SY111 ) )
| ~ ( leq @ n0 @ SV37 ) )
| ~ ( leq @ SV37 @ SV45 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY110 @ SV45 @ SY111 ) @ SV37 )
= SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(439,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV38 )
| ~ ( leq @ SV38 @ n4 ) ) )
= $true )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 )
| ( SV38 = n3 )
| ( SV38 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(440,plain,
! [SV39: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n2 ) ) )
= $true )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(441,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV40 )
| ~ ( leq @ SV40 @ n3 ) ) )
= $true )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(442,plain,
! [SV46: $i,SV41: $i,SV30: $i] :
( ( ! [SY113: $i] :
( ( a_select3 @ ( tptp_update3 @ SV30 @ SV41 @ SV46 @ SY113 ) @ SV41 @ SV46 )
= SY113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(443,plain,
! [SV47: $i,SV42: $i,SV31: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV31 @ SV42 @ SV47 ) @ SV42 )
= SV47 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(444,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV32 )
| ~ ( leq @ SV32 @ n0 ) ) )
= $false )
| ( ( SV32 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(445,plain,
! [SV43: $i,SV48: $i,SV33: $i] :
( ( ! [SY114: $i,SY115: $i,SY116: $i,SY117: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SY114 ) )
| ( ( a_select3 @ SY115 @ SV48 @ SY114 )
!= SY116 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY115 @ SV33 @ SV43 @ SY117 ) @ SV48 @ SY114 )
= SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(446,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV34 )
| ~ ( leq @ SV34 @ n5 ) ) )
= $false )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 )
| ( SV34 = n4 )
| ( SV34 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(447,plain,
! [SV49: $i,SV44: $i,SV35: $i] :
( ( ! [SY118: $i,SY119: $i] :
( ~ ~ ( ~ ( ( SV35 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SY118 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SY119 ) @ SV44 )
= SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(448,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n1 ) ) )
= $false )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(449,plain,
! [SV37: $i,SV50: $i,SV45: $i] :
( ( ! [SY120: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY121: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY121 )
| ~ ( leq @ SY121 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY121 )
= SY120 ) )
| ~ ( leq @ n0 @ SV37 ) )
| ~ ( leq @ SV37 @ SV45 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SY120 ) @ SV37 )
= SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(450,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV38 )
| ~ ( leq @ SV38 @ n4 ) ) )
= $false )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 )
| ( SV38 = n3 )
| ( SV38 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(451,plain,
! [SV39: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n2 ) ) )
= $false )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(452,plain,
! [SV40: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV40 )
| ~ ( leq @ SV40 @ n3 ) ) )
= $false )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(453,plain,
! [SV51: $i,SV46: $i,SV41: $i,SV30: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV30 @ SV41 @ SV46 @ SV51 ) @ SV41 @ SV46 )
= SV51 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(454,plain,
! [SV32: $i] :
( ( ( ~ ( leq @ n0 @ SV32 )
| ~ ( leq @ SV32 @ n0 ) )
= $true )
| ( ( SV32 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(455,plain,
! [SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ! [SY122: $i,SY123: $i,SY124: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) )
| ( ( a_select3 @ SY122 @ SV48 @ SV52 )
!= SY123 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY122 @ SV33 @ SV43 @ SY124 ) @ SV48 @ SV52 )
= SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(456,plain,
! [SV34: $i] :
( ( ( ~ ( leq @ n0 @ SV34 )
| ~ ( leq @ SV34 @ n5 ) )
= $true )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 )
| ( SV34 = n4 )
| ( SV34 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(457,plain,
! [SV53: $i,SV49: $i,SV44: $i,SV35: $i] :
( ( ! [SY125: $i] :
( ~ ~ ( ~ ( ( SV35 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SY125 ) @ SV44 )
= SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(458,plain,
! [SV36: $i] :
( ( ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n1 ) )
= $true )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(459,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) )
| ~ ( leq @ n0 @ SV37 ) )
| ~ ( leq @ SV37 @ SV45 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(460,plain,
! [SV38: $i] :
( ( ( ~ ( leq @ n0 @ SV38 )
| ~ ( leq @ SV38 @ n4 ) )
= $true )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 )
| ( SV38 = n3 )
| ( SV38 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(461,plain,
! [SV39: $i] :
( ( ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n2 ) )
= $true )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(462,plain,
! [SV40: $i] :
( ( ( ~ ( leq @ n0 @ SV40 )
| ~ ( leq @ SV40 @ n3 ) )
= $true )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(463,plain,
! [SV32: $i] :
( ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ n0 ) )
= $true )
| ( ( SV32 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(464,plain,
! [SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) )
| ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SY127 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SY128 ) @ SV48 @ SV52 )
= SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(465,plain,
! [SV34: $i] :
( ( ( ~ ( leq @ n0 @ SV34 ) )
= $true )
| ( ( ~ ( leq @ SV34 @ n5 ) )
= $true )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 )
| ( SV34 = n4 )
| ( SV34 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(466,plain,
! [SV56: $i,SV53: $i,SV49: $i,SV44: $i,SV35: $i] :
( ( ~ ~ ( ~ ( ( SV35 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SV56 ) @ SV44 )
= SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(467,plain,
! [SV36: $i] :
( ( ( ~ ( leq @ n0 @ SV36 ) )
= $true )
| ( ( ~ ( leq @ SV36 @ n1 ) )
= $true )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(468,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) )
| ~ ( leq @ n0 @ SV37 ) )
| ~ ( leq @ SV37 @ SV45 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(469,plain,
! [SV38: $i] :
( ( ( ~ ( leq @ n0 @ SV38 ) )
= $true )
| ( ( ~ ( leq @ SV38 @ n4 ) )
= $true )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 )
| ( SV38 = n3 )
| ( SV38 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(470,plain,
! [SV39: $i] :
( ( ( ~ ( leq @ n0 @ SV39 ) )
= $true )
| ( ( ~ ( leq @ SV39 @ n2 ) )
= $true )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(471,plain,
! [SV40: $i] :
( ( ( ~ ( leq @ n0 @ SV40 ) )
= $true )
| ( ( ~ ( leq @ SV40 @ n3 ) )
= $true )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(472,plain,
! [SV32: $i] :
( ( ( leq @ n0 @ SV32 )
= $false )
| ( ( ~ ( leq @ SV32 @ n0 ) )
= $true )
| ( ( SV32 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(473,plain,
! [SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) )
| ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SY129 ) @ SV48 @ SV52 )
= SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(474,plain,
! [SV34: $i] :
( ( ( leq @ n0 @ SV34 )
= $false )
| ( ( ~ ( leq @ SV34 @ n5 ) )
= $true )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 )
| ( SV34 = n4 )
| ( SV34 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(475,plain,
! [SV56: $i,SV53: $i,SV49: $i,SV44: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( ( SV35 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SV56 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(476,plain,
! [SV36: $i] :
( ( ( leq @ n0 @ SV36 )
= $false )
| ( ( ~ ( leq @ SV36 @ n1 ) )
= $true )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(477,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) )
| ~ ( leq @ n0 @ SV37 ) )
| ~ ( leq @ SV37 @ SV45 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(478,plain,
! [SV38: $i] :
( ( ( leq @ n0 @ SV38 )
= $false )
| ( ( ~ ( leq @ SV38 @ n4 ) )
= $true )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 )
| ( SV38 = n3 )
| ( SV38 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(479,plain,
! [SV39: $i] :
( ( ( leq @ n0 @ SV39 )
= $false )
| ( ( ~ ( leq @ SV39 @ n2 ) )
= $true )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(480,plain,
! [SV40: $i] :
( ( ( leq @ n0 @ SV40 )
= $false )
| ( ( ~ ( leq @ SV40 @ n3 ) )
= $true )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(481,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ n0 )
= $false )
| ( ( leq @ n0 @ SV32 )
= $false )
| ( ( SV32 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(482,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) )
| ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(483,plain,
! [SV34: $i] :
( ( ( leq @ SV34 @ n5 )
= $false )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 )
| ( SV34 = n4 )
| ( SV34 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(484,plain,
! [SV56: $i,SV53: $i,SV49: $i,SV44: $i,SV35: $i] :
( ( ( ~ ( ~ ( ( SV35 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SV56 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(485,plain,
! [SV36: $i] :
( ( ( leq @ SV36 @ n1 )
= $false )
| ( ( leq @ n0 @ SV36 )
= $false )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(486,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) )
| ~ ( leq @ n0 @ SV37 ) )
| ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(487,plain,
! [SV38: $i] :
( ( ( leq @ SV38 @ n4 )
= $false )
| ( ( leq @ n0 @ SV38 )
= $false )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 )
| ( SV38 = n3 )
| ( SV38 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(488,plain,
! [SV39: $i] :
( ( ( leq @ SV39 @ n2 )
= $false )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(489,plain,
! [SV40: $i] :
( ( ( leq @ SV40 @ n3 )
= $false )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(490,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) )
| ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(491,plain,
! [SV34: $i] :
( ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 )
| ( SV34 = n4 ) )
= $true )
| ( ( SV34 = n5 )
= $true )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( leq @ SV34 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(492,plain,
! [SV56: $i,SV53: $i,SV49: $i,SV44: $i,SV35: $i] :
( ( ( ~ ( ( SV35 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SV56 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(493,plain,
! [SV36: $i] :
( ( ( SV36 = n0 )
= $true )
| ( ( SV36 = n1 )
= $true )
| ( ( leq @ n0 @ SV36 )
= $false )
| ( ( leq @ SV36 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(494,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) )
| ~ ( leq @ n0 @ SV37 ) ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(495,plain,
! [SV38: $i] :
( ( ( ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 )
| ( SV38 = n3 ) )
= $true )
| ( ( SV38 = n4 )
= $true )
| ( ( leq @ n0 @ SV38 )
= $false )
| ( ( leq @ SV38 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(496,plain,
! [SV39: $i] :
( ( ( ( SV39 = n0 )
| ( SV39 = n1 ) )
= $true )
| ( ( SV39 = n2 )
= $true )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( leq @ SV39 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(497,plain,
! [SV40: $i] :
( ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 ) )
= $true )
| ( ( SV40 = n3 )
= $true )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( leq @ SV40 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(498,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) )
| ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(499,plain,
! [SV34: $i] :
( ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 )
| ( SV34 = n3 ) )
= $true )
| ( ( SV34 = n4 )
= $true )
| ( ( SV34 = n5 )
= $true )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( leq @ SV34 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(500,plain,
! [SV56: $i,SV53: $i,SV49: $i,SV44: $i,SV35: $i] :
( ( ( ~ ( ( SV35 != SV44 ) ) )
= $true )
| ( ( ( a_select2 @ SV49 @ SV44 )
!= SV53 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SV56 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(501,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ( ~ ( ~ ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) )
| ~ ( leq @ n0 @ SV37 ) ) )
= $false )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(502,plain,
! [SV38: $i] :
( ( ( ( SV38 = n0 )
| ( SV38 = n1 )
| ( SV38 = n2 ) )
= $true )
| ( ( SV38 = n3 )
= $true )
| ( ( SV38 = n4 )
= $true )
| ( ( leq @ n0 @ SV38 )
= $false )
| ( ( leq @ SV38 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(503,plain,
! [SV39: $i] :
( ( ( SV39 = n0 )
= $true )
| ( ( SV39 = n1 )
= $true )
| ( ( SV39 = n2 )
= $true )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( leq @ SV39 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(504,plain,
! [SV40: $i] :
( ( ( ( SV40 = n0 )
| ( SV40 = n1 ) )
= $true )
| ( ( SV40 = n2 )
= $true )
| ( ( SV40 = n3 )
= $true )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( leq @ SV40 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(505,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) )
| ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(506,plain,
! [SV34: $i] :
( ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 ) )
= $true )
| ( ( SV34 = n3 )
= $true )
| ( ( SV34 = n4 )
= $true )
| ( ( SV34 = n5 )
= $true )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( leq @ SV34 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(507,plain,
! [SV56: $i,SV53: $i,SV49: $i,SV44: $i,SV35: $i] :
( ( ( SV35 != SV44 )
= $false )
| ( ( ( a_select2 @ SV49 @ SV44 )
!= SV53 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SV56 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(508,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ( ~ ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) )
| ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(509,plain,
! [SV38: $i] :
( ( ( ( SV38 = n0 )
| ( SV38 = n1 ) )
= $true )
| ( ( SV38 = n2 )
= $true )
| ( ( SV38 = n3 )
= $true )
| ( ( SV38 = n4 )
= $true )
| ( ( leq @ n0 @ SV38 )
= $false )
| ( ( leq @ SV38 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(510,plain,
! [SV40: $i] :
( ( ( SV40 = n0 )
= $true )
| ( ( SV40 = n1 )
= $true )
| ( ( SV40 = n2 )
= $true )
| ( ( SV40 = n3 )
= $true )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( leq @ SV40 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(511,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) ) )
= $true )
| ( ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(512,plain,
! [SV34: $i] :
( ( ( ( SV34 = n0 )
| ( SV34 = n1 ) )
= $true )
| ( ( SV34 = n2 )
= $true )
| ( ( SV34 = n3 )
= $true )
| ( ( SV34 = n4 )
= $true )
| ( ( SV34 = n5 )
= $true )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( leq @ SV34 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(513,plain,
! [SV56: $i,SV53: $i,SV49: $i,SV44: $i,SV35: $i] :
( ( ( SV35 = SV44 )
= $true )
| ( ( ( a_select2 @ SV49 @ SV44 )
!= SV53 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SV56 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(514,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ( ~ ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(515,plain,
! [SV38: $i] :
( ( ( SV38 = n0 )
= $true )
| ( ( SV38 = n1 )
= $true )
| ( ( SV38 = n2 )
= $true )
| ( ( SV38 = n3 )
= $true )
| ( ( SV38 = n4 )
= $true )
| ( ( leq @ n0 @ SV38 )
= $false )
| ( ( leq @ SV38 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(516,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( ~ ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) ) )
= $false )
| ( ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(517,plain,
! [SV34: $i] :
( ( ( SV34 = n0 )
= $true )
| ( ( SV34 = n1 )
= $true )
| ( ( SV34 = n2 )
= $true )
| ( ( SV34 = n3 )
= $true )
| ( ( SV34 = n4 )
= $true )
| ( ( SV34 = n5 )
= $true )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( leq @ SV34 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(518,plain,
! [SV56: $i,SV35: $i,SV53: $i,SV44: $i,SV49: $i] :
( ( ( ( a_select2 @ SV49 @ SV44 )
= SV53 )
= $false )
| ( ( SV35 = SV44 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV35 @ SV56 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(519,plain,
! [SV37: $i,SV54: $i,SV50: $i,SV45: $i] :
( ( ( ! [SY126: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY126 )
| ~ ( leq @ SY126 @ SV45 ) )
| ( ( a_select2 @ SV50 @ SY126 )
= SV54 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(520,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( ~ ( ( SV33 != SV48 ) )
| ( SV43 != SV52 ) )
= $true )
| ( ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(521,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
| ~ ( leq @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) @ SV45 ) )
| ( ( a_select2 @ SV50 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
= SV54 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[519]) ).
thf(522,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( ~ ( ( SV33 != SV48 ) ) )
= $true )
| ( ( SV43 != SV52 )
= $true )
| ( ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(523,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
| ~ ( leq @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) @ SV45 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(524,plain,
! [SV45: $i,SV54: $i,SV37: $i,SV50: $i] :
( ( ( ( a_select2 @ SV50 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
= SV54 )
= $false )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(525,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( SV33 != SV48 )
= $false )
| ( ( SV43 != SV52 )
= $true )
| ( ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(526,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
| ~ ( leq @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) @ SV45 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(527,plain,
! [SV45: $i,SV54: $i,SV50: $i,SV37: $i] :
( ( ( leq @ n0 @ SV37 )
= $false )
| ( ( ( a_select2 @ SV50 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
= SV54 )
= $false )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(528,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV52: $i,SV43: $i,SV48: $i,SV33: $i] :
( ( ( SV33 = SV48 )
= $true )
| ( ( SV43 != SV52 )
= $true )
| ( ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(529,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( ~ ( leq @ n0 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
| ~ ( leq @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) @ SV45 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(530,plain,
! [SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ( leq @ SV37 @ SV45 )
= $false )
| ( ( ( a_select2 @ SV50 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
= SV54 )
= $false )
| ( ( leq @ n0 @ SV37 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(531,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV48: $i,SV33: $i,SV52: $i,SV43: $i] :
( ( ( SV43 = SV52 )
= $false )
| ( ( SV33 = SV48 )
= $true )
| ( ( ( a_select3 @ SV55 @ SV48 @ SV52 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(532,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( ~ ( leq @ n0 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(533,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( ~ ( leq @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) @ SV45 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(534,plain,
! [SV58: $i,SV43: $i,SV33: $i,SV57: $i,SV52: $i,SV48: $i,SV55: $i] :
( ( ( ( a_select3 @ SV55 @ SV48 @ SV52 )
= SV57 )
= $false )
| ( ( SV33 = SV48 )
= $true )
| ( ( SV43 = SV52 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV33 @ SV43 @ SV58 ) @ SV48 @ SV52 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(535,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( leq @ n0 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(536,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( leq @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) @ SV45 )
= $true )
| ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(537,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( leq @ n0 @ SV37 )
= $false )
| ( ( leq @ n0 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(538,plain,
! [SV45: $i,SV50: $i,SV54: $i,SV37: $i] :
( ( ( leq @ n0 @ SV37 )
= $false )
| ( ( leq @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) @ SV45 )
= $true )
| ( ( ~ ( leq @ SV37 @ SV45 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(539,plain,
! [SV50: $i,SV54: $i,SV45: $i,SV37: $i] :
( ( ( leq @ SV37 @ SV45 )
= $false )
| ( ( leq @ n0 @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) )
= $true )
| ( ( leq @ n0 @ SV37 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(540,plain,
! [SV50: $i,SV54: $i,SV45: $i,SV37: $i] :
( ( ( leq @ SV37 @ SV45 )
= $false )
| ( ( leq @ ( sK2_SY126 @ SV37 @ SV54 @ SV50 @ SV45 ) @ SV45 )
= $true )
| ( ( leq @ n0 @ SV37 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV45 @ SV54 ) @ SV37 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(541,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[366,540,539,534,530,518,517,515,510,503,493,481,453,443,426,420,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,380,379,378,377,376,375,374,373,372,371,370,369,368,367]) ).
thf(542,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(543,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(544,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(545,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(546,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(547,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(548,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(549,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(550,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(551,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(552,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(553,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(554,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(555,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(556,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(557,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(558,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(559,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(560,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(561,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(562,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(563,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(564,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(565,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(566,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(567,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(568,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(569,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(570,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(571,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(572,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(573,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(574,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(575,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(576,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(577,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(578,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(579,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(580,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(581,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(582,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(583,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(584,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(585,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(586,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(587,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(588,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(589,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
!= use )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(590,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[546]) ).
thf(591,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[547]) ).
thf(592,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[567]) ).
thf(593,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(594,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[545]) ).
thf(595,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[568]) ).
thf(596,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[543]) ).
thf(597,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[565]) ).
thf(598,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[564]) ).
thf(599,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[563]) ).
thf(600,plain,
! [SV59: $i] :
( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ( a_select3 @ ( tptp_update3 @ SV59 @ SY130 @ SY131 @ SY132 ) @ SY130 @ SY131 )
= SY132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(601,plain,
! [SV60: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ( a_select2 @ ( tptp_update2 @ SV60 @ SY133 @ SY134 ) @ SY133 )
= SY134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(602,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(603,plain,
! [SV61: $i] :
( ( ! [SY135: $i,SY136: $i,SY137: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY135 ) )
| ( ( a_select2 @ SY136 @ SX4 )
= SY137 ) )
| ~ ( leq @ n0 @ SV61 ) )
| ~ ( leq @ SV61 @ SY135 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY136 @ SY135 @ SY137 ) @ SV61 )
= SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(604,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(605,plain,
! [SV62: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) )
| ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(606,plain,
! [SV63: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV63 )
| ~ ( leq @ SV63 @ n1 ) )
| ( SV63 = n0 )
| ( SV63 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(607,plain,
! [SV64: $i] :
( ( ! [SY139: $i,SY140: $i,SY141: $i,SY142: $i] :
( ~ ~ ( ~ ( ( SV64 != SY139 ) )
| ( ( a_select2 @ SY140 @ SY139 )
!= SY141 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY140 @ SV64 @ SY142 ) @ SY139 )
= SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(608,plain,
! [SV65: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n3 ) )
| ( SV65 = n0 )
| ( SV65 = n1 )
| ( SV65 = n2 )
| ( SV65 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(609,plain,
! [SV66: $i] :
( ( ! [SY143: $i,SY144: $i,SY145: $i,SY146: $i,SY147: $i,SY148: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV66 != SY144 ) )
| ( SY143 != SY145 ) )
| ( ( a_select3 @ SY146 @ SY144 @ SY145 )
!= SY147 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY146 @ SV66 @ SY143 @ SY148 ) @ SY144 @ SY145 )
= SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(610,plain,
! [SV67: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n0 ) )
| ( SV67 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(611,plain,
! [SV68: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV68 )
| ~ ( leq @ SV68 @ n5 ) )
| ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 )
| ( SV68 = n4 )
| ( SV68 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(612,plain,
! [SV69: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV69 )
| ~ ( leq @ SV69 @ n4 ) )
| ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(613,plain,
! [SV70: $i,SV59: $i] :
( ( ! [SY149: $i,SY150: $i] :
( ( a_select3 @ ( tptp_update3 @ SV59 @ SV70 @ SY149 @ SY150 ) @ SV70 @ SY149 )
= SY150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(614,plain,
! [SV71: $i,SV60: $i] :
( ( ! [SY151: $i] :
( ( a_select2 @ ( tptp_update2 @ SV60 @ SV71 @ SY151 ) @ SV71 )
= SY151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(615,plain,
! [SV61: $i,SV72: $i] :
( ( ! [SY152: $i,SY153: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY154: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY154 )
| ~ ( leq @ SY154 @ SV72 ) )
| ( ( a_select2 @ SY152 @ SY154 )
= SY153 ) )
| ~ ( leq @ n0 @ SV61 ) )
| ~ ( leq @ SV61 @ SV72 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY152 @ SV72 @ SY153 ) @ SV61 )
= SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(616,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(617,plain,
! [SV63: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV63 )
| ~ ( leq @ SV63 @ n1 ) ) )
= $true )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(618,plain,
! [SV73: $i,SV64: $i] :
( ( ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( ( SV64 != SV73 ) )
| ( ( a_select2 @ SY155 @ SV73 )
!= SY156 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY155 @ SV64 @ SY157 ) @ SV73 )
= SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(619,plain,
! [SV65: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n3 ) ) )
= $true )
| ( ( ( SV65 = n0 )
| ( SV65 = n1 )
| ( SV65 = n2 )
| ( SV65 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(620,plain,
! [SV74: $i,SV66: $i] :
( ( ! [SY158: $i,SY159: $i,SY160: $i,SY161: $i,SY162: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV66 != SY158 ) )
| ( SV74 != SY159 ) )
| ( ( a_select3 @ SY160 @ SY158 @ SY159 )
!= SY161 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY160 @ SV66 @ SV74 @ SY162 ) @ SY158 @ SY159 )
= SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(621,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n0 ) ) )
= $true )
| ( ( SV67 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(622,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV68 )
| ~ ( leq @ SV68 @ n5 ) ) )
= $true )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 )
| ( SV68 = n4 )
| ( SV68 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(623,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV69 )
| ~ ( leq @ SV69 @ n4 ) ) )
= $true )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(624,plain,
! [SV75: $i,SV70: $i,SV59: $i] :
( ( ! [SY163: $i] :
( ( a_select3 @ ( tptp_update3 @ SV59 @ SV70 @ SV75 @ SY163 ) @ SV70 @ SV75 )
= SY163 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(625,plain,
! [SV76: $i,SV71: $i,SV60: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV60 @ SV71 @ SV76 ) @ SV71 )
= SV76 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(626,plain,
! [SV61: $i,SV77: $i,SV72: $i] :
( ( ! [SY164: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY165: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY165 )
| ~ ( leq @ SY165 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY165 )
= SY164 ) )
| ~ ( leq @ n0 @ SV61 ) )
| ~ ( leq @ SV61 @ SV72 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SY164 ) @ SV61 )
= SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(627,plain,
! [SV62: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) ) )
= $false )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(628,plain,
! [SV63: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV63 )
| ~ ( leq @ SV63 @ n1 ) ) )
= $false )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(629,plain,
! [SV78: $i,SV73: $i,SV64: $i] :
( ( ! [SY166: $i,SY167: $i] :
( ~ ~ ( ~ ( ( SV64 != SV73 ) )
| ( ( a_select2 @ SV78 @ SV73 )
!= SY166 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SY167 ) @ SV73 )
= SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(630,plain,
! [SV65: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n3 ) ) )
= $false )
| ( ( ( SV65 = n0 )
| ( SV65 = n1 )
| ( SV65 = n2 )
| ( SV65 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(631,plain,
! [SV74: $i,SV79: $i,SV66: $i] :
( ( ! [SY168: $i,SY169: $i,SY170: $i,SY171: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SY168 ) )
| ( ( a_select3 @ SY169 @ SV79 @ SY168 )
!= SY170 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY169 @ SV66 @ SV74 @ SY171 ) @ SV79 @ SY168 )
= SY170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(632,plain,
! [SV67: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n0 ) ) )
= $false )
| ( ( SV67 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(633,plain,
! [SV68: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV68 )
| ~ ( leq @ SV68 @ n5 ) ) )
= $false )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 )
| ( SV68 = n4 )
| ( SV68 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(634,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV69 )
| ~ ( leq @ SV69 @ n4 ) ) )
= $false )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(635,plain,
! [SV80: $i,SV75: $i,SV70: $i,SV59: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV59 @ SV70 @ SV75 @ SV80 ) @ SV70 @ SV75 )
= SV80 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(636,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) )
| ~ ( leq @ n0 @ SV61 ) )
| ~ ( leq @ SV61 @ SV72 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(637,plain,
! [SV62: $i] :
( ( ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(638,plain,
! [SV63: $i] :
( ( ( ~ ( leq @ n0 @ SV63 )
| ~ ( leq @ SV63 @ n1 ) )
= $true )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(639,plain,
! [SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ! [SY173: $i] :
( ~ ~ ( ~ ( ( SV64 != SV73 ) )
| ( ( a_select2 @ SV78 @ SV73 )
!= SV82 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SY173 ) @ SV73 )
= SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(640,plain,
! [SV65: $i] :
( ( ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n3 ) )
= $true )
| ( ( ( SV65 = n0 )
| ( SV65 = n1 )
| ( SV65 = n2 )
| ( SV65 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(641,plain,
! [SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ! [SY174: $i,SY175: $i,SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SY174 @ SV79 @ SV83 )
!= SY175 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY174 @ SV66 @ SV74 @ SY176 ) @ SV79 @ SV83 )
= SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(642,plain,
! [SV67: $i] :
( ( ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n0 ) )
= $true )
| ( ( SV67 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(643,plain,
! [SV68: $i] :
( ( ( ~ ( leq @ n0 @ SV68 )
| ~ ( leq @ SV68 @ n5 ) )
= $true )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 )
| ( SV68 = n4 )
| ( SV68 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(644,plain,
! [SV69: $i] :
( ( ( ~ ( leq @ n0 @ SV69 )
| ~ ( leq @ SV69 @ n4 ) )
= $true )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(645,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) )
| ~ ( leq @ n0 @ SV61 ) )
| ~ ( leq @ SV61 @ SV72 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(646,plain,
! [SV62: $i] :
( ( ( ~ ( leq @ n0 @ SV62 ) )
= $true )
| ( ( ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(647,plain,
! [SV63: $i] :
( ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ n1 ) )
= $true )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(648,plain,
! [SV84: $i,SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ~ ~ ( ~ ( ( SV64 != SV73 ) )
| ( ( a_select2 @ SV78 @ SV73 )
!= SV82 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SV84 ) @ SV73 )
= SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(649,plain,
! [SV65: $i] :
( ( ( ~ ( leq @ n0 @ SV65 ) )
= $true )
| ( ( ~ ( leq @ SV65 @ n3 ) )
= $true )
| ( ( ( SV65 = n0 )
| ( SV65 = n1 )
| ( SV65 = n2 )
| ( SV65 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(650,plain,
! [SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ! [SY177: $i,SY178: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SY177 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SY178 ) @ SV79 @ SV83 )
= SY177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(651,plain,
! [SV67: $i] :
( ( ( ~ ( leq @ n0 @ SV67 ) )
= $true )
| ( ( ~ ( leq @ SV67 @ n0 ) )
= $true )
| ( ( SV67 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(652,plain,
! [SV68: $i] :
( ( ( ~ ( leq @ n0 @ SV68 ) )
= $true )
| ( ( ~ ( leq @ SV68 @ n5 ) )
= $true )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 )
| ( SV68 = n4 )
| ( SV68 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(653,plain,
! [SV69: $i] :
( ( ( ~ ( leq @ n0 @ SV69 ) )
= $true )
| ( ( ~ ( leq @ SV69 @ n4 ) )
= $true )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(654,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) )
| ~ ( leq @ n0 @ SV61 ) )
| ~ ( leq @ SV61 @ SV72 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(655,plain,
! [SV62: $i] :
( ( ( leq @ n0 @ SV62 )
= $false )
| ( ( ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(656,plain,
! [SV63: $i] :
( ( ( leq @ n0 @ SV63 )
= $false )
| ( ( ~ ( leq @ SV63 @ n1 ) )
= $true )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(657,plain,
! [SV84: $i,SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ( ~ ~ ( ~ ( ( SV64 != SV73 ) )
| ( ( a_select2 @ SV78 @ SV73 )
!= SV82 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SV84 ) @ SV73 )
= SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(658,plain,
! [SV65: $i] :
( ( ( leq @ n0 @ SV65 )
= $false )
| ( ( ~ ( leq @ SV65 @ n3 ) )
= $true )
| ( ( ( SV65 = n0 )
| ( SV65 = n1 )
| ( SV65 = n2 )
| ( SV65 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(659,plain,
! [SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ! [SY179: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SY179 ) @ SV79 @ SV83 )
= SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(660,plain,
! [SV67: $i] :
( ( ( leq @ n0 @ SV67 )
= $false )
| ( ( ~ ( leq @ SV67 @ n0 ) )
= $true )
| ( ( SV67 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(661,plain,
! [SV68: $i] :
( ( ( leq @ n0 @ SV68 )
= $false )
| ( ( ~ ( leq @ SV68 @ n5 ) )
= $true )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 )
| ( SV68 = n4 )
| ( SV68 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(662,plain,
! [SV69: $i] :
( ( ( leq @ n0 @ SV69 )
= $false )
| ( ( ~ ( leq @ SV69 @ n4 ) )
= $true )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(663,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) )
| ~ ( leq @ n0 @ SV61 ) )
| ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(664,plain,
! [SV62: $i] :
( ( ( leq @ SV62 @ n2 )
= $false )
| ( ( leq @ n0 @ SV62 )
= $false )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(665,plain,
! [SV63: $i] :
( ( ( leq @ SV63 @ n1 )
= $false )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(666,plain,
! [SV84: $i,SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ( ~ ( ~ ( ( SV64 != SV73 ) )
| ( ( a_select2 @ SV78 @ SV73 )
!= SV82 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SV84 ) @ SV73 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(667,plain,
! [SV65: $i] :
( ( ( leq @ SV65 @ n3 )
= $false )
| ( ( leq @ n0 @ SV65 )
= $false )
| ( ( ( SV65 = n0 )
| ( SV65 = n1 )
| ( SV65 = n2 )
| ( SV65 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(668,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(669,plain,
! [SV67: $i] :
( ( ( leq @ SV67 @ n0 )
= $false )
| ( ( leq @ n0 @ SV67 )
= $false )
| ( ( SV67 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(670,plain,
! [SV68: $i] :
( ( ( leq @ SV68 @ n5 )
= $false )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 )
| ( SV68 = n4 )
| ( SV68 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(671,plain,
! [SV69: $i] :
( ( ( leq @ SV69 @ n4 )
= $false )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(672,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) )
| ~ ( leq @ n0 @ SV61 ) ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(673,plain,
! [SV62: $i] :
( ( ( ( SV62 = n0 )
| ( SV62 = n1 ) )
= $true )
| ( ( SV62 = n2 )
= $true )
| ( ( leq @ n0 @ SV62 )
= $false )
| ( ( leq @ SV62 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(674,plain,
! [SV63: $i] :
( ( ( SV63 = n0 )
= $true )
| ( ( SV63 = n1 )
= $true )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( leq @ SV63 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(675,plain,
! [SV84: $i,SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ( ~ ( ( SV64 != SV73 ) )
| ( ( a_select2 @ SV78 @ SV73 )
!= SV82 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SV84 ) @ SV73 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(676,plain,
! [SV65: $i] :
( ( ( ( SV65 = n0 )
| ( SV65 = n1 )
| ( SV65 = n2 ) )
= $true )
| ( ( SV65 = n3 )
= $true )
| ( ( leq @ n0 @ SV65 )
= $false )
| ( ( leq @ SV65 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(677,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(678,plain,
! [SV68: $i] :
( ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 )
| ( SV68 = n4 ) )
= $true )
| ( ( SV68 = n5 )
= $true )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( leq @ SV68 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(679,plain,
! [SV69: $i] :
( ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 ) )
= $true )
| ( ( SV69 = n4 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(680,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ( ~ ( ~ ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) )
| ~ ( leq @ n0 @ SV61 ) ) )
= $false )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(681,plain,
! [SV62: $i] :
( ( ( SV62 = n0 )
= $true )
| ( ( SV62 = n1 )
= $true )
| ( ( SV62 = n2 )
= $true )
| ( ( leq @ n0 @ SV62 )
= $false )
| ( ( leq @ SV62 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(682,plain,
! [SV84: $i,SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ( ~ ( ( SV64 != SV73 ) ) )
= $true )
| ( ( ( a_select2 @ SV78 @ SV73 )
!= SV82 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SV84 ) @ SV73 )
= SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(683,plain,
! [SV65: $i] :
( ( ( ( SV65 = n0 )
| ( SV65 = n1 ) )
= $true )
| ( ( SV65 = n2 )
= $true )
| ( ( SV65 = n3 )
= $true )
| ( ( leq @ n0 @ SV65 )
= $false )
| ( ( leq @ SV65 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(684,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(685,plain,
! [SV68: $i] :
( ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 ) )
= $true )
| ( ( SV68 = n4 )
= $true )
| ( ( SV68 = n5 )
= $true )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( leq @ SV68 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(686,plain,
! [SV69: $i] :
( ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 ) )
= $true )
| ( ( SV69 = n3 )
= $true )
| ( ( SV69 = n4 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(687,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ( ~ ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) )
| ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(688,plain,
! [SV84: $i,SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ( SV64 != SV73 )
= $false )
| ( ( ( a_select2 @ SV78 @ SV73 )
!= SV82 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SV84 ) @ SV73 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(689,plain,
! [SV65: $i] :
( ( ( SV65 = n0 )
= $true )
| ( ( SV65 = n1 )
= $true )
| ( ( SV65 = n2 )
= $true )
| ( ( SV65 = n3 )
= $true )
| ( ( leq @ n0 @ SV65 )
= $false )
| ( ( leq @ SV65 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(690,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(691,plain,
! [SV68: $i] :
( ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 ) )
= $true )
| ( ( SV68 = n3 )
= $true )
| ( ( SV68 = n4 )
= $true )
| ( ( SV68 = n5 )
= $true )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( leq @ SV68 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(692,plain,
! [SV69: $i] :
( ( ( ( SV69 = n0 )
| ( SV69 = n1 ) )
= $true )
| ( ( SV69 = n2 )
= $true )
| ( ( SV69 = n3 )
= $true )
| ( ( SV69 = n4 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(693,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ( ~ ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(694,plain,
! [SV84: $i,SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ( SV64 = SV73 )
= $true )
| ( ( ( a_select2 @ SV78 @ SV73 )
!= SV82 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SV84 ) @ SV73 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(695,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) ) )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(696,plain,
! [SV68: $i] :
( ( ( ( SV68 = n0 )
| ( SV68 = n1 ) )
= $true )
| ( ( SV68 = n2 )
= $true )
| ( ( SV68 = n3 )
= $true )
| ( ( SV68 = n4 )
= $true )
| ( ( SV68 = n5 )
= $true )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( leq @ SV68 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[691]) ).
thf(697,plain,
! [SV69: $i] :
( ( ( SV69 = n0 )
= $true )
| ( ( SV69 = n1 )
= $true )
| ( ( SV69 = n2 )
= $true )
| ( ( SV69 = n3 )
= $true )
| ( ( SV69 = n4 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(698,plain,
! [SV61: $i,SV81: $i,SV77: $i,SV72: $i] :
( ( ( ! [SY172: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY172 )
| ~ ( leq @ SY172 @ SV72 ) )
| ( ( a_select2 @ SV77 @ SY172 )
= SV81 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(699,plain,
! [SV84: $i,SV64: $i,SV82: $i,SV73: $i,SV78: $i] :
( ( ( ( a_select2 @ SV78 @ SV73 )
= SV82 )
= $false )
| ( ( SV64 = SV73 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV64 @ SV84 ) @ SV73 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(700,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( ~ ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) ) )
= $false )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(701,plain,
! [SV68: $i] :
( ( ( SV68 = n0 )
= $true )
| ( ( SV68 = n1 )
= $true )
| ( ( SV68 = n2 )
= $true )
| ( ( SV68 = n3 )
= $true )
| ( ( SV68 = n4 )
= $true )
| ( ( SV68 = n5 )
= $true )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( leq @ SV68 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(702,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
| ~ ( leq @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) @ SV72 ) )
| ( ( a_select2 @ SV77 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
= SV81 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[698]) ).
thf(703,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( ~ ( ( SV66 != SV79 ) )
| ( SV74 != SV83 ) )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(704,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
| ~ ( leq @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) @ SV72 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(705,plain,
! [SV72: $i,SV81: $i,SV61: $i,SV77: $i] :
( ( ( ( a_select2 @ SV77 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
= SV81 )
= $false )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(706,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( ~ ( ( SV66 != SV79 ) ) )
= $true )
| ( ( SV74 != SV83 )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(707,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
| ~ ( leq @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) @ SV72 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(708,plain,
! [SV72: $i,SV81: $i,SV77: $i,SV61: $i] :
( ( ( leq @ n0 @ SV61 )
= $false )
| ( ( ( a_select2 @ SV77 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
= SV81 )
= $false )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(709,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( SV66 != SV79 )
= $false )
| ( ( SV74 != SV83 )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(710,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( ~ ( leq @ n0 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
| ~ ( leq @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) @ SV72 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(711,plain,
! [SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ( leq @ SV61 @ SV72 )
= $false )
| ( ( ( a_select2 @ SV77 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
= SV81 )
= $false )
| ( ( leq @ n0 @ SV61 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(712,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV66: $i] :
( ( ( SV66 = SV79 )
= $true )
| ( ( SV74 != SV83 )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(713,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( ~ ( leq @ n0 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(714,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( ~ ( leq @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) @ SV72 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(715,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV79: $i,SV66: $i,SV83: $i,SV74: $i] :
( ( ( SV74 = SV83 )
= $false )
| ( ( SV66 = SV79 )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(716,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( leq @ n0 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(717,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( leq @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) @ SV72 )
= $true )
| ( ( ~ ( leq @ n0 @ SV61 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(718,plain,
! [SV87: $i,SV74: $i,SV66: $i,SV86: $i,SV83: $i,SV79: $i,SV85: $i] :
( ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
= SV86 )
= $false )
| ( ( SV66 = SV79 )
= $true )
| ( ( SV74 = SV83 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV66 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(719,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( leq @ n0 @ SV61 )
= $false )
| ( ( leq @ n0 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(720,plain,
! [SV72: $i,SV77: $i,SV81: $i,SV61: $i] :
( ( ( leq @ n0 @ SV61 )
= $false )
| ( ( leq @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) @ SV72 )
= $true )
| ( ( ~ ( leq @ SV61 @ SV72 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(721,plain,
! [SV77: $i,SV81: $i,SV72: $i,SV61: $i] :
( ( ( leq @ SV61 @ SV72 )
= $false )
| ( ( leq @ n0 @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) )
= $true )
| ( ( leq @ n0 @ SV61 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(722,plain,
! [SV77: $i,SV81: $i,SV72: $i,SV61: $i] :
( ( ( leq @ SV61 @ SV72 )
= $false )
| ( ( leq @ ( sK3_SY172 @ SV61 @ SV81 @ SV77 @ SV72 ) @ SV72 )
= $true )
| ( ( leq @ n0 @ SV61 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV72 @ SV81 ) @ SV61 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(723,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[548,722,721,718,711,701,699,697,689,681,674,669,635,625,604,602,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,562,561,560,559,558,557,556,555,554,553,552,551,550,549]) ).
thf(724,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(725,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(726,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(727,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(728,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(729,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(730,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(731,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(732,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(733,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(734,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(735,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(736,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(737,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(738,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(739,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(740,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(741,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(742,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(743,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(744,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(745,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(746,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(747,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(748,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(749,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(750,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(751,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(752,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(753,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(754,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(755,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(756,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(757,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(758,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(759,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(760,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(761,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(762,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(763,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(764,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(765,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(766,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(767,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(768,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(769,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(770,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(771,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(772,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[745]) ).
thf(773,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[725]) ).
thf(774,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[750]) ).
thf(775,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[747]) ).
thf(776,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[748]) ).
thf(777,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[749]) ).
thf(778,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[728]) ).
thf(779,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[729]) ).
thf(780,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[727]) ).
thf(781,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[746]) ).
thf(782,plain,
! [SV88: $i] :
( ( ! [SY180: $i,SY181: $i,SY182: $i] :
( ( a_select3 @ ( tptp_update3 @ SV88 @ SY180 @ SY181 @ SY182 ) @ SY180 @ SY181 )
= SY182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(783,plain,
! [SV89: $i] :
( ( ! [SY183: $i,SY184: $i] :
( ( a_select2 @ ( tptp_update2 @ SV89 @ SY183 @ SY184 ) @ SY183 )
= SY184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(784,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(785,plain,
! [SV90: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n4 ) )
| ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(786,plain,
! [SV91: $i] :
( ( ! [SY185: $i,SY186: $i,SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SY186 ) )
| ( SY185 != SY187 ) )
| ( ( a_select3 @ SY188 @ SY186 @ SY187 )
!= SY189 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY188 @ SV91 @ SY185 @ SY190 ) @ SY186 @ SY187 )
= SY189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(787,plain,
! [SV92: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV92 )
| ~ ( leq @ SV92 @ n3 ) )
| ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 )
| ( SV92 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(788,plain,
! [SV93: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n0 ) )
| ( SV93 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(789,plain,
! [SV94: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n1 ) )
| ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(790,plain,
! [SV95: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n2 ) )
| ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(791,plain,
! [SV96: $i] :
( ( ! [SY191: $i,SY192: $i,SY193: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY191 ) )
| ( ( a_select2 @ SY192 @ SX4 )
= SY193 ) )
| ~ ( leq @ n0 @ SV96 ) )
| ~ ( leq @ SV96 @ SY191 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY192 @ SY191 @ SY193 ) @ SV96 )
= SY193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(792,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(793,plain,
! [SV97: $i] :
( ( ! [SY195: $i,SY196: $i,SY197: $i,SY198: $i] :
( ~ ~ ( ~ ( ( SV97 != SY195 ) )
| ( ( a_select2 @ SY196 @ SY195 )
!= SY197 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY196 @ SV97 @ SY198 ) @ SY195 )
= SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(794,plain,
! [SV98: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV98 )
| ~ ( leq @ SV98 @ n5 ) )
| ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 )
| ( SV98 = n4 )
| ( SV98 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(795,plain,
! [SV99: $i,SV88: $i] :
( ( ! [SY199: $i,SY200: $i] :
( ( a_select3 @ ( tptp_update3 @ SV88 @ SV99 @ SY199 @ SY200 ) @ SV99 @ SY199 )
= SY200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(796,plain,
! [SV100: $i,SV89: $i] :
( ( ! [SY201: $i] :
( ( a_select2 @ ( tptp_update2 @ SV89 @ SV100 @ SY201 ) @ SV100 )
= SY201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(797,plain,
! [SV90: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n4 ) ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(798,plain,
! [SV101: $i,SV91: $i] :
( ( ! [SY202: $i,SY203: $i,SY204: $i,SY205: $i,SY206: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SY202 ) )
| ( SV101 != SY203 ) )
| ( ( a_select3 @ SY204 @ SY202 @ SY203 )
!= SY205 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY204 @ SV91 @ SV101 @ SY206 ) @ SY202 @ SY203 )
= SY205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(799,plain,
! [SV92: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV92 )
| ~ ( leq @ SV92 @ n3 ) ) )
= $true )
| ( ( ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 )
| ( SV92 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(800,plain,
! [SV93: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n0 ) ) )
= $true )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(801,plain,
! [SV94: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n1 ) ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(802,plain,
! [SV95: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n2 ) ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(803,plain,
! [SV96: $i,SV102: $i] :
( ( ! [SY207: $i,SY208: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY209: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY209 )
| ~ ( leq @ SY209 @ SV102 ) )
| ( ( a_select2 @ SY207 @ SY209 )
= SY208 ) )
| ~ ( leq @ n0 @ SV96 ) )
| ~ ( leq @ SV96 @ SV102 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY207 @ SV102 @ SY208 ) @ SV96 )
= SY208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(804,plain,
! [SV103: $i,SV97: $i] :
( ( ! [SY210: $i,SY211: $i,SY212: $i] :
( ~ ~ ( ~ ( ( SV97 != SV103 ) )
| ( ( a_select2 @ SY210 @ SV103 )
!= SY211 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY210 @ SV97 @ SY212 ) @ SV103 )
= SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(805,plain,
! [SV98: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV98 )
| ~ ( leq @ SV98 @ n5 ) ) )
= $true )
| ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 )
| ( SV98 = n4 )
| ( SV98 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(806,plain,
! [SV104: $i,SV99: $i,SV88: $i] :
( ( ! [SY213: $i] :
( ( a_select3 @ ( tptp_update3 @ SV88 @ SV99 @ SV104 @ SY213 ) @ SV99 @ SV104 )
= SY213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(807,plain,
! [SV105: $i,SV100: $i,SV89: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV89 @ SV100 @ SV105 ) @ SV100 )
= SV105 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(808,plain,
! [SV90: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n4 ) ) )
= $false )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(809,plain,
! [SV101: $i,SV106: $i,SV91: $i] :
( ( ! [SY214: $i,SY215: $i,SY216: $i,SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SY214 ) )
| ( ( a_select3 @ SY215 @ SV106 @ SY214 )
!= SY216 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY215 @ SV91 @ SV101 @ SY217 ) @ SV106 @ SY214 )
= SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(810,plain,
! [SV92: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV92 )
| ~ ( leq @ SV92 @ n3 ) ) )
= $false )
| ( ( ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 )
| ( SV92 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(811,plain,
! [SV93: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n0 ) ) )
= $false )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(812,plain,
! [SV94: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n1 ) ) )
= $false )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(813,plain,
! [SV95: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n2 ) ) )
= $false )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(814,plain,
! [SV96: $i,SV107: $i,SV102: $i] :
( ( ! [SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY219: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY219 )
| ~ ( leq @ SY219 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY219 )
= SY218 ) )
| ~ ( leq @ n0 @ SV96 ) )
| ~ ( leq @ SV96 @ SV102 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SY218 ) @ SV96 )
= SY218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(815,plain,
! [SV108: $i,SV103: $i,SV97: $i] :
( ( ! [SY220: $i,SY221: $i] :
( ~ ~ ( ~ ( ( SV97 != SV103 ) )
| ( ( a_select2 @ SV108 @ SV103 )
!= SY220 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SY221 ) @ SV103 )
= SY220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(816,plain,
! [SV98: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV98 )
| ~ ( leq @ SV98 @ n5 ) ) )
= $false )
| ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 )
| ( SV98 = n4 )
| ( SV98 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(817,plain,
! [SV109: $i,SV104: $i,SV99: $i,SV88: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV88 @ SV99 @ SV104 @ SV109 ) @ SV99 @ SV104 )
= SV109 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(818,plain,
! [SV90: $i] :
( ( ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n4 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(819,plain,
! [SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ! [SY222: $i,SY223: $i,SY224: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SY222 @ SV106 @ SV110 )
!= SY223 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY222 @ SV91 @ SV101 @ SY224 ) @ SV106 @ SV110 )
= SY223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(820,plain,
! [SV92: $i] :
( ( ( ~ ( leq @ n0 @ SV92 )
| ~ ( leq @ SV92 @ n3 ) )
= $true )
| ( ( ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 )
| ( SV92 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(821,plain,
! [SV93: $i] :
( ( ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n0 ) )
= $true )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(822,plain,
! [SV94: $i] :
( ( ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n1 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(823,plain,
! [SV95: $i] :
( ( ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n2 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(824,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) )
| ~ ( leq @ n0 @ SV96 ) )
| ~ ( leq @ SV96 @ SV102 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(825,plain,
! [SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ! [SY226: $i] :
( ~ ~ ( ~ ( ( SV97 != SV103 ) )
| ( ( a_select2 @ SV108 @ SV103 )
!= SV112 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SY226 ) @ SV103 )
= SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(826,plain,
! [SV98: $i] :
( ( ( ~ ( leq @ n0 @ SV98 )
| ~ ( leq @ SV98 @ n5 ) )
= $true )
| ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 )
| ( SV98 = n4 )
| ( SV98 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(827,plain,
! [SV90: $i] :
( ( ( ~ ( leq @ n0 @ SV90 ) )
= $true )
| ( ( ~ ( leq @ SV90 @ n4 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(828,plain,
! [SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ! [SY227: $i,SY228: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SY227 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SY228 ) @ SV106 @ SV110 )
= SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(829,plain,
! [SV92: $i] :
( ( ( ~ ( leq @ n0 @ SV92 ) )
= $true )
| ( ( ~ ( leq @ SV92 @ n3 ) )
= $true )
| ( ( ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 )
| ( SV92 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(830,plain,
! [SV93: $i] :
( ( ( ~ ( leq @ n0 @ SV93 ) )
= $true )
| ( ( ~ ( leq @ SV93 @ n0 ) )
= $true )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(831,plain,
! [SV94: $i] :
( ( ( ~ ( leq @ n0 @ SV94 ) )
= $true )
| ( ( ~ ( leq @ SV94 @ n1 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(832,plain,
! [SV95: $i] :
( ( ( ~ ( leq @ n0 @ SV95 ) )
= $true )
| ( ( ~ ( leq @ SV95 @ n2 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(833,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) )
| ~ ( leq @ n0 @ SV96 ) )
| ~ ( leq @ SV96 @ SV102 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(834,plain,
! [SV114: $i,SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ~ ~ ( ~ ( ( SV97 != SV103 ) )
| ( ( a_select2 @ SV108 @ SV103 )
!= SV112 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SV114 ) @ SV103 )
= SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(835,plain,
! [SV98: $i] :
( ( ( ~ ( leq @ n0 @ SV98 ) )
= $true )
| ( ( ~ ( leq @ SV98 @ n5 ) )
= $true )
| ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 )
| ( SV98 = n4 )
| ( SV98 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(836,plain,
! [SV90: $i] :
( ( ( leq @ n0 @ SV90 )
= $false )
| ( ( ~ ( leq @ SV90 @ n4 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(837,plain,
! [SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ! [SY229: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SY229 ) @ SV106 @ SV110 )
= SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(838,plain,
! [SV92: $i] :
( ( ( leq @ n0 @ SV92 )
= $false )
| ( ( ~ ( leq @ SV92 @ n3 ) )
= $true )
| ( ( ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 )
| ( SV92 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(839,plain,
! [SV93: $i] :
( ( ( leq @ n0 @ SV93 )
= $false )
| ( ( ~ ( leq @ SV93 @ n0 ) )
= $true )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(840,plain,
! [SV94: $i] :
( ( ( leq @ n0 @ SV94 )
= $false )
| ( ( ~ ( leq @ SV94 @ n1 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(841,plain,
! [SV95: $i] :
( ( ( leq @ n0 @ SV95 )
= $false )
| ( ( ~ ( leq @ SV95 @ n2 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(842,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) )
| ~ ( leq @ n0 @ SV96 ) )
| ~ ( leq @ SV96 @ SV102 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(843,plain,
! [SV114: $i,SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ( ~ ~ ( ~ ( ( SV97 != SV103 ) )
| ( ( a_select2 @ SV108 @ SV103 )
!= SV112 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SV114 ) @ SV103 )
= SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(844,plain,
! [SV98: $i] :
( ( ( leq @ n0 @ SV98 )
= $false )
| ( ( ~ ( leq @ SV98 @ n5 ) )
= $true )
| ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 )
| ( SV98 = n4 )
| ( SV98 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(845,plain,
! [SV90: $i] :
( ( ( leq @ SV90 @ n4 )
= $false )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(846,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(847,plain,
! [SV92: $i] :
( ( ( leq @ SV92 @ n3 )
= $false )
| ( ( leq @ n0 @ SV92 )
= $false )
| ( ( ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 )
| ( SV92 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(848,plain,
! [SV93: $i] :
( ( ( leq @ SV93 @ n0 )
= $false )
| ( ( leq @ n0 @ SV93 )
= $false )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(849,plain,
! [SV94: $i] :
( ( ( leq @ SV94 @ n1 )
= $false )
| ( ( leq @ n0 @ SV94 )
= $false )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(850,plain,
! [SV95: $i] :
( ( ( leq @ SV95 @ n2 )
= $false )
| ( ( leq @ n0 @ SV95 )
= $false )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(851,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ( ~ ~ ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) )
| ~ ( leq @ n0 @ SV96 ) )
| ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(852,plain,
! [SV114: $i,SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ( ~ ( ~ ( ( SV97 != SV103 ) )
| ( ( a_select2 @ SV108 @ SV103 )
!= SV112 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SV114 ) @ SV103 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(853,plain,
! [SV98: $i] :
( ( ( leq @ SV98 @ n5 )
= $false )
| ( ( leq @ n0 @ SV98 )
= $false )
| ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 )
| ( SV98 = n4 )
| ( SV98 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(854,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 ) )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(855,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(856,plain,
! [SV92: $i] :
( ( ( ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 ) )
= $true )
| ( ( SV92 = n3 )
= $true )
| ( ( leq @ n0 @ SV92 )
= $false )
| ( ( leq @ SV92 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(857,plain,
! [SV94: $i] :
( ( ( SV94 = n0 )
= $true )
| ( ( SV94 = n1 )
= $true )
| ( ( leq @ n0 @ SV94 )
= $false )
| ( ( leq @ SV94 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(858,plain,
! [SV95: $i] :
( ( ( ( SV95 = n0 )
| ( SV95 = n1 ) )
= $true )
| ( ( SV95 = n2 )
= $true )
| ( ( leq @ n0 @ SV95 )
= $false )
| ( ( leq @ SV95 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(859,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ( ~ ~ ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) )
| ~ ( leq @ n0 @ SV96 ) ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(860,plain,
! [SV114: $i,SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ( ~ ( ( SV97 != SV103 ) )
| ( ( a_select2 @ SV108 @ SV103 )
!= SV112 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SV114 ) @ SV103 )
= SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(861,plain,
! [SV98: $i] :
( ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 )
| ( SV98 = n4 ) )
= $true )
| ( ( SV98 = n5 )
= $true )
| ( ( leq @ n0 @ SV98 )
= $false )
| ( ( leq @ SV98 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(862,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 ) )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(863,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(864,plain,
! [SV92: $i] :
( ( ( ( SV92 = n0 )
| ( SV92 = n1 ) )
= $true )
| ( ( SV92 = n2 )
= $true )
| ( ( SV92 = n3 )
= $true )
| ( ( leq @ n0 @ SV92 )
= $false )
| ( ( leq @ SV92 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(865,plain,
! [SV95: $i] :
( ( ( SV95 = n0 )
= $true )
| ( ( SV95 = n1 )
= $true )
| ( ( SV95 = n2 )
= $true )
| ( ( leq @ n0 @ SV95 )
= $false )
| ( ( leq @ SV95 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(866,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ( ~ ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) )
| ~ ( leq @ n0 @ SV96 ) ) )
= $false )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(867,plain,
! [SV114: $i,SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ( ~ ( ( SV97 != SV103 ) ) )
= $true )
| ( ( ( a_select2 @ SV108 @ SV103 )
!= SV112 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SV114 ) @ SV103 )
= SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(868,plain,
! [SV98: $i] :
( ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 )
| ( SV98 = n3 ) )
= $true )
| ( ( SV98 = n4 )
= $true )
| ( ( SV98 = n5 )
= $true )
| ( ( leq @ n0 @ SV98 )
= $false )
| ( ( leq @ SV98 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(869,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 ) )
= $true )
| ( ( SV90 = n2 )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(870,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(871,plain,
! [SV92: $i] :
( ( ( SV92 = n0 )
= $true )
| ( ( SV92 = n1 )
= $true )
| ( ( SV92 = n2 )
= $true )
| ( ( SV92 = n3 )
= $true )
| ( ( leq @ n0 @ SV92 )
= $false )
| ( ( leq @ SV92 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(872,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) )
| ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(873,plain,
! [SV114: $i,SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ( SV97 != SV103 )
= $false )
| ( ( ( a_select2 @ SV108 @ SV103 )
!= SV112 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SV114 ) @ SV103 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(874,plain,
! [SV98: $i] :
( ( ( ( SV98 = n0 )
| ( SV98 = n1 )
| ( SV98 = n2 ) )
= $true )
| ( ( SV98 = n3 )
= $true )
| ( ( SV98 = n4 )
= $true )
| ( ( SV98 = n5 )
= $true )
| ( ( leq @ n0 @ SV98 )
= $false )
| ( ( leq @ SV98 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(875,plain,
! [SV90: $i] :
( ( ( SV90 = n0 )
= $true )
| ( ( SV90 = n1 )
= $true )
| ( ( SV90 = n2 )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(876,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) ) )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(877,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(878,plain,
! [SV114: $i,SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ( SV97 = SV103 )
= $true )
| ( ( ( a_select2 @ SV108 @ SV103 )
!= SV112 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SV114 ) @ SV103 )
= SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(879,plain,
! [SV98: $i] :
( ( ( ( SV98 = n0 )
| ( SV98 = n1 ) )
= $true )
| ( ( SV98 = n2 )
= $true )
| ( ( SV98 = n3 )
= $true )
| ( ( SV98 = n4 )
= $true )
| ( ( SV98 = n5 )
= $true )
| ( ( leq @ n0 @ SV98 )
= $false )
| ( ( leq @ SV98 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(880,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) ) )
= $false )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(881,plain,
! [SV96: $i,SV111: $i,SV107: $i,SV102: $i] :
( ( ( ! [SY225: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY225 )
| ~ ( leq @ SY225 @ SV102 ) )
| ( ( a_select2 @ SV107 @ SY225 )
= SV111 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(882,plain,
! [SV114: $i,SV97: $i,SV112: $i,SV103: $i,SV108: $i] :
( ( ( ( a_select2 @ SV108 @ SV103 )
= SV112 )
= $false )
| ( ( SV97 = SV103 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV97 @ SV114 ) @ SV103 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(883,plain,
! [SV98: $i] :
( ( ( SV98 = n0 )
= $true )
| ( ( SV98 = n1 )
= $true )
| ( ( SV98 = n2 )
= $true )
| ( ( SV98 = n3 )
= $true )
| ( ( SV98 = n4 )
= $true )
| ( ( SV98 = n5 )
= $true )
| ( ( leq @ n0 @ SV98 )
= $false )
| ( ( leq @ SV98 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(884,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(885,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
| ~ ( leq @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) @ SV102 ) )
| ( ( a_select2 @ SV107 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
= SV111 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[881]) ).
thf(886,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ( ( SV91 != SV106 ) ) )
= $true )
| ( ( SV101 != SV110 )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(887,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
| ~ ( leq @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) @ SV102 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(888,plain,
! [SV102: $i,SV111: $i,SV96: $i,SV107: $i] :
( ( ( ( a_select2 @ SV107 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
= SV111 )
= $false )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(889,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( SV91 != SV106 )
= $false )
| ( ( SV101 != SV110 )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(890,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
| ~ ( leq @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) @ SV102 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(891,plain,
! [SV102: $i,SV111: $i,SV107: $i,SV96: $i] :
( ( ( leq @ n0 @ SV96 )
= $false )
| ( ( ( a_select2 @ SV107 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
= SV111 )
= $false )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(892,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( SV91 = SV106 )
= $true )
| ( ( SV101 != SV110 )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(893,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( ~ ( leq @ n0 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
| ~ ( leq @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) @ SV102 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(894,plain,
! [SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ( leq @ SV96 @ SV102 )
= $false )
| ( ( ( a_select2 @ SV107 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
= SV111 )
= $false )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(895,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV106: $i,SV91: $i,SV110: $i,SV101: $i] :
( ( ( SV101 = SV110 )
= $false )
| ( ( SV91 = SV106 )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(896,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( ~ ( leq @ n0 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(897,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( ~ ( leq @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) @ SV102 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[893]) ).
thf(898,plain,
! [SV116: $i,SV101: $i,SV91: $i,SV115: $i,SV110: $i,SV106: $i,SV113: $i] :
( ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
= SV115 )
= $false )
| ( ( SV91 = SV106 )
= $true )
| ( ( SV101 = SV110 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(899,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( leq @ n0 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(900,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( leq @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) @ SV102 )
= $true )
| ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(901,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( leq @ n0 @ SV96 )
= $false )
| ( ( leq @ n0 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(902,plain,
! [SV102: $i,SV107: $i,SV111: $i,SV96: $i] :
( ( ( leq @ n0 @ SV96 )
= $false )
| ( ( leq @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) @ SV102 )
= $true )
| ( ( ~ ( leq @ SV96 @ SV102 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(903,plain,
! [SV107: $i,SV111: $i,SV102: $i,SV96: $i] :
( ( ( leq @ SV96 @ SV102 )
= $false )
| ( ( leq @ n0 @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) )
= $true )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(904,plain,
! [SV107: $i,SV111: $i,SV102: $i,SV96: $i] :
( ( ( leq @ SV96 @ SV102 )
= $false )
| ( ( leq @ ( sK4_SY225 @ SV96 @ SV111 @ SV107 @ SV102 ) @ SV102 )
= $true )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV102 @ SV111 ) @ SV96 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(905,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[730,904,903,898,894,883,882,875,871,865,857,848,817,807,792,784,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,744,743,742,741,740,739,738,737,736,735,734,733,732,731]) ).
thf(906,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(907,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(908,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(909,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(910,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(911,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(912,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(913,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(914,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(915,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(916,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(917,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(918,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(919,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(920,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(921,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(922,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(923,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(924,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(925,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(926,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(927,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(928,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(929,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(930,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(931,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(932,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(933,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(934,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(935,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(936,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(937,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(938,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(939,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(940,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(941,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(942,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(943,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(944,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(945,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(946,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(947,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(948,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(949,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(950,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(951,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(952,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(953,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
!= use )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(954,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[927]) ).
thf(955,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[910]) ).
thf(956,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[929]) ).
thf(957,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[931]) ).
thf(958,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[909]) ).
thf(959,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[928]) ).
thf(960,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[907]) ).
thf(961,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[932]) ).
thf(962,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[911]) ).
thf(963,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[930]) ).
thf(964,plain,
! [SV117: $i] :
( ( ! [SY230: $i,SY231: $i,SY232: $i] :
( ( a_select3 @ ( tptp_update3 @ SV117 @ SY230 @ SY231 @ SY232 ) @ SY230 @ SY231 )
= SY232 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(965,plain,
! [SV118: $i] :
( ( ! [SY233: $i,SY234: $i] :
( ( a_select2 @ ( tptp_update2 @ SV118 @ SY233 @ SY234 ) @ SY233 )
= SY234 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(966,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(967,plain,
! [SV119: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n4 ) )
| ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(968,plain,
! [SV120: $i] :
( ( ! [SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY235 ) )
| ( ( a_select2 @ SY236 @ SX4 )
= SY237 ) )
| ~ ( leq @ n0 @ SV120 ) )
| ~ ( leq @ SV120 @ SY235 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY236 @ SY235 @ SY237 ) @ SV120 )
= SY237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(969,plain,
! [SV121: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n0 ) )
| ( SV121 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(970,plain,
! [SV122: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV122 )
| ~ ( leq @ SV122 @ n2 ) )
| ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(971,plain,
! [SV123: $i] :
( ( ! [SY239: $i,SY240: $i,SY241: $i,SY242: $i] :
( ~ ~ ( ~ ( ( SV123 != SY239 ) )
| ( ( a_select2 @ SY240 @ SY239 )
!= SY241 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY240 @ SV123 @ SY242 ) @ SY239 )
= SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(972,plain,
! [SV124: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n5 ) )
| ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 )
| ( SV124 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(973,plain,
! [SV125: $i] :
( ( ! [SY243: $i,SY244: $i,SY245: $i,SY246: $i,SY247: $i,SY248: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV125 != SY244 ) )
| ( SY243 != SY245 ) )
| ( ( a_select3 @ SY246 @ SY244 @ SY245 )
!= SY247 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY246 @ SV125 @ SY243 @ SY248 ) @ SY244 @ SY245 )
= SY247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(974,plain,
! [SV126: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV126 )
| ~ ( leq @ SV126 @ n3 ) )
| ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(975,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(976,plain,
! [SV127: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV127 )
| ~ ( leq @ SV127 @ n1 ) )
| ( SV127 = n0 )
| ( SV127 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(977,plain,
! [SV128: $i,SV117: $i] :
( ( ! [SY249: $i,SY250: $i] :
( ( a_select3 @ ( tptp_update3 @ SV117 @ SV128 @ SY249 @ SY250 ) @ SV128 @ SY249 )
= SY250 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(978,plain,
! [SV129: $i,SV118: $i] :
( ( ! [SY251: $i] :
( ( a_select2 @ ( tptp_update2 @ SV118 @ SV129 @ SY251 ) @ SV129 )
= SY251 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(979,plain,
! [SV119: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n4 ) ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(980,plain,
! [SV120: $i,SV130: $i] :
( ( ! [SY252: $i,SY253: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY254: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY254 )
| ~ ( leq @ SY254 @ SV130 ) )
| ( ( a_select2 @ SY252 @ SY254 )
= SY253 ) )
| ~ ( leq @ n0 @ SV120 ) )
| ~ ( leq @ SV120 @ SV130 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY252 @ SV130 @ SY253 ) @ SV120 )
= SY253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(981,plain,
! [SV121: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n0 ) ) )
= $true )
| ( ( SV121 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(982,plain,
! [SV122: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV122 )
| ~ ( leq @ SV122 @ n2 ) ) )
= $true )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(983,plain,
! [SV131: $i,SV123: $i] :
( ( ! [SY255: $i,SY256: $i,SY257: $i] :
( ~ ~ ( ~ ( ( SV123 != SV131 ) )
| ( ( a_select2 @ SY255 @ SV131 )
!= SY256 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY255 @ SV123 @ SY257 ) @ SV131 )
= SY256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(984,plain,
! [SV124: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n5 ) ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 )
| ( SV124 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(985,plain,
! [SV132: $i,SV125: $i] :
( ( ! [SY258: $i,SY259: $i,SY260: $i,SY261: $i,SY262: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV125 != SY258 ) )
| ( SV132 != SY259 ) )
| ( ( a_select3 @ SY260 @ SY258 @ SY259 )
!= SY261 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY260 @ SV125 @ SV132 @ SY262 ) @ SY258 @ SY259 )
= SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(986,plain,
! [SV126: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV126 )
| ~ ( leq @ SV126 @ n3 ) ) )
= $true )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(987,plain,
! [SV127: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV127 )
| ~ ( leq @ SV127 @ n1 ) ) )
= $true )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(988,plain,
! [SV133: $i,SV128: $i,SV117: $i] :
( ( ! [SY263: $i] :
( ( a_select3 @ ( tptp_update3 @ SV117 @ SV128 @ SV133 @ SY263 ) @ SV128 @ SV133 )
= SY263 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(989,plain,
! [SV134: $i,SV129: $i,SV118: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV118 @ SV129 @ SV134 ) @ SV129 )
= SV134 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(990,plain,
! [SV119: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n4 ) ) )
= $false )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(991,plain,
! [SV120: $i,SV135: $i,SV130: $i] :
( ( ! [SY264: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY265: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY265 )
| ~ ( leq @ SY265 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY265 )
= SY264 ) )
| ~ ( leq @ n0 @ SV120 ) )
| ~ ( leq @ SV120 @ SV130 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SY264 ) @ SV120 )
= SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(992,plain,
! [SV121: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n0 ) ) )
= $false )
| ( ( SV121 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(993,plain,
! [SV122: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV122 )
| ~ ( leq @ SV122 @ n2 ) ) )
= $false )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(994,plain,
! [SV136: $i,SV131: $i,SV123: $i] :
( ( ! [SY266: $i,SY267: $i] :
( ~ ~ ( ~ ( ( SV123 != SV131 ) )
| ( ( a_select2 @ SV136 @ SV131 )
!= SY266 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SY267 ) @ SV131 )
= SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(995,plain,
! [SV124: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n5 ) ) )
= $false )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 )
| ( SV124 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(996,plain,
! [SV132: $i,SV137: $i,SV125: $i] :
( ( ! [SY268: $i,SY269: $i,SY270: $i,SY271: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SY268 ) )
| ( ( a_select3 @ SY269 @ SV137 @ SY268 )
!= SY270 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY269 @ SV125 @ SV132 @ SY271 ) @ SV137 @ SY268 )
= SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(997,plain,
! [SV126: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV126 )
| ~ ( leq @ SV126 @ n3 ) ) )
= $false )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(998,plain,
! [SV127: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV127 )
| ~ ( leq @ SV127 @ n1 ) ) )
= $false )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(999,plain,
! [SV138: $i,SV133: $i,SV128: $i,SV117: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV117 @ SV128 @ SV133 @ SV138 ) @ SV128 @ SV133 )
= SV138 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1000,plain,
! [SV119: $i] :
( ( ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n4 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1001,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) )
| ~ ( leq @ n0 @ SV120 ) )
| ~ ( leq @ SV120 @ SV130 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1002,plain,
! [SV121: $i] :
( ( ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n0 ) )
= $true )
| ( ( SV121 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1003,plain,
! [SV122: $i] :
( ( ( ~ ( leq @ n0 @ SV122 )
| ~ ( leq @ SV122 @ n2 ) )
= $true )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1004,plain,
! [SV140: $i,SV136: $i,SV131: $i,SV123: $i] :
( ( ! [SY273: $i] :
( ~ ~ ( ~ ( ( SV123 != SV131 ) )
| ( ( a_select2 @ SV136 @ SV131 )
!= SV140 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SY273 ) @ SV131 )
= SV140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1005,plain,
! [SV124: $i] :
( ( ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n5 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 )
| ( SV124 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1006,plain,
! [SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ! [SY274: $i,SY275: $i,SY276: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) )
| ( ( a_select3 @ SY274 @ SV137 @ SV141 )
!= SY275 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY274 @ SV125 @ SV132 @ SY276 ) @ SV137 @ SV141 )
= SY275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1007,plain,
! [SV126: $i] :
( ( ( ~ ( leq @ n0 @ SV126 )
| ~ ( leq @ SV126 @ n3 ) )
= $true )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1008,plain,
! [SV127: $i] :
( ( ( ~ ( leq @ n0 @ SV127 )
| ~ ( leq @ SV127 @ n1 ) )
= $true )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1009,plain,
! [SV119: $i] :
( ( ( ~ ( leq @ n0 @ SV119 ) )
= $true )
| ( ( ~ ( leq @ SV119 @ n4 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1010,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) )
| ~ ( leq @ n0 @ SV120 ) )
| ~ ( leq @ SV120 @ SV130 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1011,plain,
! [SV121: $i] :
( ( ( ~ ( leq @ n0 @ SV121 ) )
= $true )
| ( ( ~ ( leq @ SV121 @ n0 ) )
= $true )
| ( ( SV121 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1012,plain,
! [SV122: $i] :
( ( ( ~ ( leq @ n0 @ SV122 ) )
= $true )
| ( ( ~ ( leq @ SV122 @ n2 ) )
= $true )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1013,plain,
! [SV142: $i,SV140: $i,SV136: $i,SV131: $i,SV123: $i] :
( ( ~ ~ ( ~ ( ( SV123 != SV131 ) )
| ( ( a_select2 @ SV136 @ SV131 )
!= SV140 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SV142 ) @ SV131 )
= SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1014,plain,
! [SV124: $i] :
( ( ( ~ ( leq @ n0 @ SV124 ) )
= $true )
| ( ( ~ ( leq @ SV124 @ n5 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 )
| ( SV124 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1015,plain,
! [SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ! [SY277: $i,SY278: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) )
| ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SY277 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SY278 ) @ SV137 @ SV141 )
= SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1016,plain,
! [SV126: $i] :
( ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ n3 ) )
= $true )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1017,plain,
! [SV127: $i] :
( ( ( ~ ( leq @ n0 @ SV127 ) )
= $true )
| ( ( ~ ( leq @ SV127 @ n1 ) )
= $true )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1018,plain,
! [SV119: $i] :
( ( ( leq @ n0 @ SV119 )
= $false )
| ( ( ~ ( leq @ SV119 @ n4 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1019,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) )
| ~ ( leq @ n0 @ SV120 ) )
| ~ ( leq @ SV120 @ SV130 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1020,plain,
! [SV121: $i] :
( ( ( leq @ n0 @ SV121 )
= $false )
| ( ( ~ ( leq @ SV121 @ n0 ) )
= $true )
| ( ( SV121 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1021,plain,
! [SV122: $i] :
( ( ( leq @ n0 @ SV122 )
= $false )
| ( ( ~ ( leq @ SV122 @ n2 ) )
= $true )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1022,plain,
! [SV142: $i,SV140: $i,SV136: $i,SV131: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( ( SV123 != SV131 ) )
| ( ( a_select2 @ SV136 @ SV131 )
!= SV140 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SV142 ) @ SV131 )
= SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1023,plain,
! [SV124: $i] :
( ( ( leq @ n0 @ SV124 )
= $false )
| ( ( ~ ( leq @ SV124 @ n5 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 )
| ( SV124 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1024,plain,
! [SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ! [SY279: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) )
| ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SY279 ) @ SV137 @ SV141 )
= SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1025,plain,
! [SV126: $i] :
( ( ( leq @ n0 @ SV126 )
= $false )
| ( ( ~ ( leq @ SV126 @ n3 ) )
= $true )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1026,plain,
! [SV127: $i] :
( ( ( leq @ n0 @ SV127 )
= $false )
| ( ( ~ ( leq @ SV127 @ n1 ) )
= $true )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1027,plain,
! [SV119: $i] :
( ( ( leq @ SV119 @ n4 )
= $false )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1028,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ( ~ ~ ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) )
| ~ ( leq @ n0 @ SV120 ) )
| ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1029,plain,
! [SV121: $i] :
( ( ( leq @ SV121 @ n0 )
= $false )
| ( ( leq @ n0 @ SV121 )
= $false )
| ( ( SV121 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1030,plain,
! [SV122: $i] :
( ( ( leq @ SV122 @ n2 )
= $false )
| ( ( leq @ n0 @ SV122 )
= $false )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1031,plain,
! [SV142: $i,SV140: $i,SV136: $i,SV131: $i,SV123: $i] :
( ( ( ~ ( ~ ( ( SV123 != SV131 ) )
| ( ( a_select2 @ SV136 @ SV131 )
!= SV140 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SV142 ) @ SV131 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1032,plain,
! [SV124: $i] :
( ( ( leq @ SV124 @ n5 )
= $false )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 )
| ( SV124 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1033,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) )
| ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1034,plain,
! [SV126: $i] :
( ( ( leq @ SV126 @ n3 )
= $false )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1035,plain,
! [SV127: $i] :
( ( ( leq @ SV127 @ n1 )
= $false )
| ( ( leq @ n0 @ SV127 )
= $false )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1036,plain,
! [SV119: $i] :
( ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 ) )
= $true )
| ( ( SV119 = n4 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1027]) ).
thf(1037,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ( ~ ~ ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) )
| ~ ( leq @ n0 @ SV120 ) ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1038,plain,
! [SV122: $i] :
( ( ( ( SV122 = n0 )
| ( SV122 = n1 ) )
= $true )
| ( ( SV122 = n2 )
= $true )
| ( ( leq @ n0 @ SV122 )
= $false )
| ( ( leq @ SV122 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1039,plain,
! [SV142: $i,SV140: $i,SV136: $i,SV131: $i,SV123: $i] :
( ( ( ~ ( ( SV123 != SV131 ) )
| ( ( a_select2 @ SV136 @ SV131 )
!= SV140 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SV142 ) @ SV131 )
= SV140 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1040,plain,
! [SV124: $i] :
( ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 ) )
= $true )
| ( ( SV124 = n5 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1041,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) )
| ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1033]) ).
thf(1042,plain,
! [SV126: $i] :
( ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 ) )
= $true )
| ( ( SV126 = n3 )
= $true )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( leq @ SV126 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1043,plain,
! [SV127: $i] :
( ( ( SV127 = n0 )
= $true )
| ( ( SV127 = n1 )
= $true )
| ( ( leq @ n0 @ SV127 )
= $false )
| ( ( leq @ SV127 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1044,plain,
! [SV119: $i] :
( ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true )
| ( ( SV119 = n3 )
= $true )
| ( ( SV119 = n4 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1045,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ( ~ ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) )
| ~ ( leq @ n0 @ SV120 ) ) )
= $false )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1046,plain,
! [SV122: $i] :
( ( ( SV122 = n0 )
= $true )
| ( ( SV122 = n1 )
= $true )
| ( ( SV122 = n2 )
= $true )
| ( ( leq @ n0 @ SV122 )
= $false )
| ( ( leq @ SV122 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1047,plain,
! [SV142: $i,SV140: $i,SV136: $i,SV131: $i,SV123: $i] :
( ( ( ~ ( ( SV123 != SV131 ) ) )
= $true )
| ( ( ( a_select2 @ SV136 @ SV131 )
!= SV140 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SV142 ) @ SV131 )
= SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1048,plain,
! [SV124: $i] :
( ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 ) )
= $true )
| ( ( SV124 = n4 )
= $true )
| ( ( SV124 = n5 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1040]) ).
thf(1049,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) )
| ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1050,plain,
! [SV126: $i] :
( ( ( ( SV126 = n0 )
| ( SV126 = n1 ) )
= $true )
| ( ( SV126 = n2 )
= $true )
| ( ( SV126 = n3 )
= $true )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( leq @ SV126 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1051,plain,
! [SV119: $i] :
( ( ( ( SV119 = n0 )
| ( SV119 = n1 ) )
= $true )
| ( ( SV119 = n2 )
= $true )
| ( ( SV119 = n3 )
= $true )
| ( ( SV119 = n4 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1052,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) )
| ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1053,plain,
! [SV142: $i,SV140: $i,SV136: $i,SV131: $i,SV123: $i] :
( ( ( SV123 != SV131 )
= $false )
| ( ( ( a_select2 @ SV136 @ SV131 )
!= SV140 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SV142 ) @ SV131 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1054,plain,
! [SV124: $i] :
( ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 ) )
= $true )
| ( ( SV124 = n3 )
= $true )
| ( ( SV124 = n4 )
= $true )
| ( ( SV124 = n5 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1055,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) )
| ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1056,plain,
! [SV126: $i] :
( ( ( SV126 = n0 )
= $true )
| ( ( SV126 = n1 )
= $true )
| ( ( SV126 = n2 )
= $true )
| ( ( SV126 = n3 )
= $true )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( leq @ SV126 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1057,plain,
! [SV119: $i] :
( ( ( SV119 = n0 )
= $true )
| ( ( SV119 = n1 )
= $true )
| ( ( SV119 = n2 )
= $true )
| ( ( SV119 = n3 )
= $true )
| ( ( SV119 = n4 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1058,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ( ~ ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1059,plain,
! [SV142: $i,SV140: $i,SV136: $i,SV131: $i,SV123: $i] :
( ( ( SV123 = SV131 )
= $true )
| ( ( ( a_select2 @ SV136 @ SV131 )
!= SV140 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SV142 ) @ SV131 )
= SV140 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1060,plain,
! [SV124: $i] :
( ( ( ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true )
| ( ( SV124 = n2 )
= $true )
| ( ( SV124 = n3 )
= $true )
| ( ( SV124 = n4 )
= $true )
| ( ( SV124 = n5 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1061,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( ~ ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) ) )
= $true )
| ( ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1062,plain,
! [SV120: $i,SV139: $i,SV135: $i,SV130: $i] :
( ( ( ! [SY272: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY272 )
| ~ ( leq @ SY272 @ SV130 ) )
| ( ( a_select2 @ SV135 @ SY272 )
= SV139 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1063,plain,
! [SV142: $i,SV123: $i,SV140: $i,SV131: $i,SV136: $i] :
( ( ( ( a_select2 @ SV136 @ SV131 )
= SV140 )
= $false )
| ( ( SV123 = SV131 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV123 @ SV142 ) @ SV131 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1064,plain,
! [SV124: $i] :
( ( ( SV124 = n0 )
= $true )
| ( ( SV124 = n1 )
= $true )
| ( ( SV124 = n2 )
= $true )
| ( ( SV124 = n3 )
= $true )
| ( ( SV124 = n4 )
= $true )
| ( ( SV124 = n5 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1065,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( ~ ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) ) )
= $false )
| ( ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1066,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
| ~ ( leq @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) @ SV130 ) )
| ( ( a_select2 @ SV135 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
= SV139 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1062]) ).
thf(1067,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( ~ ( ( SV125 != SV137 ) )
| ( SV132 != SV141 ) )
= $true )
| ( ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1068,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
| ~ ( leq @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) @ SV130 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1069,plain,
! [SV130: $i,SV139: $i,SV120: $i,SV135: $i] :
( ( ( ( a_select2 @ SV135 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
= SV139 )
= $false )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1070,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( ~ ( ( SV125 != SV137 ) ) )
= $true )
| ( ( SV132 != SV141 )
= $true )
| ( ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1071,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
| ~ ( leq @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) @ SV130 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1072,plain,
! [SV130: $i,SV139: $i,SV135: $i,SV120: $i] :
( ( ( leq @ n0 @ SV120 )
= $false )
| ( ( ( a_select2 @ SV135 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
= SV139 )
= $false )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1073,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( SV125 != SV137 )
= $false )
| ( ( SV132 != SV141 )
= $true )
| ( ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1074,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( ~ ( leq @ n0 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
| ~ ( leq @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) @ SV130 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1075,plain,
! [SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ( leq @ SV120 @ SV130 )
= $false )
| ( ( ( a_select2 @ SV135 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
= SV139 )
= $false )
| ( ( leq @ n0 @ SV120 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1076,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV141: $i,SV132: $i,SV137: $i,SV125: $i] :
( ( ( SV125 = SV137 )
= $true )
| ( ( SV132 != SV141 )
= $true )
| ( ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1077,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( ~ ( leq @ n0 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1074]) ).
thf(1078,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( ~ ( leq @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) @ SV130 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1074]) ).
thf(1079,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV137: $i,SV125: $i,SV141: $i,SV132: $i] :
( ( ( SV132 = SV141 )
= $false )
| ( ( SV125 = SV137 )
= $true )
| ( ( ( a_select3 @ SV143 @ SV137 @ SV141 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1080,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( leq @ n0 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1081,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( leq @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) @ SV130 )
= $true )
| ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1082,plain,
! [SV145: $i,SV132: $i,SV125: $i,SV144: $i,SV141: $i,SV137: $i,SV143: $i] :
( ( ( ( a_select3 @ SV143 @ SV137 @ SV141 )
= SV144 )
= $false )
| ( ( SV125 = SV137 )
= $true )
| ( ( SV132 = SV141 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV125 @ SV132 @ SV145 ) @ SV137 @ SV141 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1083,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( leq @ n0 @ SV120 )
= $false )
| ( ( leq @ n0 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1084,plain,
! [SV130: $i,SV135: $i,SV139: $i,SV120: $i] :
( ( ( leq @ n0 @ SV120 )
= $false )
| ( ( leq @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) @ SV130 )
= $true )
| ( ( ~ ( leq @ SV120 @ SV130 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1085,plain,
! [SV135: $i,SV139: $i,SV130: $i,SV120: $i] :
( ( ( leq @ SV120 @ SV130 )
= $false )
| ( ( leq @ n0 @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) )
= $true )
| ( ( leq @ n0 @ SV120 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1086,plain,
! [SV135: $i,SV139: $i,SV130: $i,SV120: $i] :
( ( ( leq @ SV120 @ SV130 )
= $false )
| ( ( leq @ ( sK5_SY272 @ SV120 @ SV139 @ SV135 @ SV130 ) @ SV130 )
= $true )
| ( ( leq @ n0 @ SV120 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV130 @ SV139 ) @ SV120 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1087,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[912,1086,1085,1082,1075,1064,1063,1057,1056,1046,1043,1029,999,989,975,966,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,926,925,924,923,922,921,920,919,918,917,916,915,914,913]) ).
thf(1088,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(1089,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(1090,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1091,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(1092,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(1093,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1094,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1095,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1096,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1097,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1098,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1099,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1100,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1101,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1102,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1103,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1104,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1105,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1106,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1107,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1108,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1109,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(1110,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(1111,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1112,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1113,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1114,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1115,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1116,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1117,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1118,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1119,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1120,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(1121,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(1122,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(1123,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1124,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1125,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1126,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1127,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1128,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1129,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1130,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1131,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1132,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1133,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1134,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1135,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
!= use )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(1136,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1109]) ).
thf(1137,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1111]) ).
thf(1138,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1110]) ).
thf(1139,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1113]) ).
thf(1140,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1092]) ).
thf(1141,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1093]) ).
thf(1142,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1089]) ).
thf(1143,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1114]) ).
thf(1144,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1112]) ).
thf(1145,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1091]) ).
thf(1146,plain,
! [SV146: $i] :
( ( ! [SY280: $i,SY281: $i,SY282: $i] :
( ( a_select3 @ ( tptp_update3 @ SV146 @ SY280 @ SY281 @ SY282 ) @ SY280 @ SY281 )
= SY282 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1147,plain,
! [SV147: $i] :
( ( ! [SY283: $i,SY284: $i] :
( ( a_select2 @ ( tptp_update2 @ SV147 @ SY283 @ SY284 ) @ SY283 )
= SY284 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1148,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1149,plain,
! [SV148: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV148 )
| ~ ( leq @ SV148 @ n4 ) )
| ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 )
| ( SV148 = n3 )
| ( SV148 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1150,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n0 ) )
| ( SV149 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1151,plain,
! [SV150: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV150 )
| ~ ( leq @ SV150 @ n5 ) )
| ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 )
| ( SV150 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1152,plain,
! [SV151: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n2 ) )
| ( SV151 = n0 )
| ( SV151 = n1 )
| ( SV151 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1153,plain,
! [SV152: $i] :
( ( ! [SY285: $i,SY286: $i,SY287: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY285 ) )
| ( ( a_select2 @ SY286 @ SX4 )
= SY287 ) )
| ~ ( leq @ n0 @ SV152 ) )
| ~ ( leq @ SV152 @ SY285 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY286 @ SY285 @ SY287 ) @ SV152 )
= SY287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1154,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1155,plain,
! [SV153: $i] :
( ( ! [SY289: $i,SY290: $i,SY291: $i,SY292: $i,SY293: $i,SY294: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV153 != SY290 ) )
| ( SY289 != SY291 ) )
| ( ( a_select3 @ SY292 @ SY290 @ SY291 )
!= SY293 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY292 @ SV153 @ SY289 @ SY294 ) @ SY290 @ SY291 )
= SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1156,plain,
! [SV154: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n3 ) )
| ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 )
| ( SV154 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1157,plain,
! [SV155: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV155 )
| ~ ( leq @ SV155 @ n1 ) )
| ( SV155 = n0 )
| ( SV155 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1158,plain,
! [SV156: $i] :
( ( ! [SY295: $i,SY296: $i,SY297: $i,SY298: $i] :
( ~ ~ ( ~ ( ( SV156 != SY295 ) )
| ( ( a_select2 @ SY296 @ SY295 )
!= SY297 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY296 @ SV156 @ SY298 ) @ SY295 )
= SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1159,plain,
! [SV157: $i,SV146: $i] :
( ( ! [SY299: $i,SY300: $i] :
( ( a_select3 @ ( tptp_update3 @ SV146 @ SV157 @ SY299 @ SY300 ) @ SV157 @ SY299 )
= SY300 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1160,plain,
! [SV158: $i,SV147: $i] :
( ( ! [SY301: $i] :
( ( a_select2 @ ( tptp_update2 @ SV147 @ SV158 @ SY301 ) @ SV158 )
= SY301 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1161,plain,
! [SV148: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV148 )
| ~ ( leq @ SV148 @ n4 ) ) )
= $true )
| ( ( ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 )
| ( SV148 = n3 )
| ( SV148 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1162,plain,
! [SV149: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n0 ) ) )
= $true )
| ( ( SV149 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1163,plain,
! [SV150: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV150 )
| ~ ( leq @ SV150 @ n5 ) ) )
= $true )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 )
| ( SV150 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1164,plain,
! [SV151: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n2 ) ) )
= $true )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 )
| ( SV151 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1165,plain,
! [SV152: $i,SV159: $i] :
( ( ! [SY302: $i,SY303: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY304: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY304 )
| ~ ( leq @ SY304 @ SV159 ) )
| ( ( a_select2 @ SY302 @ SY304 )
= SY303 ) )
| ~ ( leq @ n0 @ SV152 ) )
| ~ ( leq @ SV152 @ SV159 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY302 @ SV159 @ SY303 ) @ SV152 )
= SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1166,plain,
! [SV160: $i,SV153: $i] :
( ( ! [SY305: $i,SY306: $i,SY307: $i,SY308: $i,SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV153 != SY305 ) )
| ( SV160 != SY306 ) )
| ( ( a_select3 @ SY307 @ SY305 @ SY306 )
!= SY308 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY307 @ SV153 @ SV160 @ SY309 ) @ SY305 @ SY306 )
= SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1167,plain,
! [SV154: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n3 ) ) )
= $true )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 )
| ( SV154 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1168,plain,
! [SV155: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV155 )
| ~ ( leq @ SV155 @ n1 ) ) )
= $true )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1169,plain,
! [SV161: $i,SV156: $i] :
( ( ! [SY310: $i,SY311: $i,SY312: $i] :
( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SY310 @ SV161 )
!= SY311 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY310 @ SV156 @ SY312 ) @ SV161 )
= SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1170,plain,
! [SV162: $i,SV157: $i,SV146: $i] :
( ( ! [SY313: $i] :
( ( a_select3 @ ( tptp_update3 @ SV146 @ SV157 @ SV162 @ SY313 ) @ SV157 @ SV162 )
= SY313 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1159]) ).
thf(1171,plain,
! [SV163: $i,SV158: $i,SV147: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV147 @ SV158 @ SV163 ) @ SV158 )
= SV163 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1172,plain,
! [SV148: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV148 )
| ~ ( leq @ SV148 @ n4 ) ) )
= $false )
| ( ( ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 )
| ( SV148 = n3 )
| ( SV148 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1173,plain,
! [SV149: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n0 ) ) )
= $false )
| ( ( SV149 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1174,plain,
! [SV150: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV150 )
| ~ ( leq @ SV150 @ n5 ) ) )
= $false )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 )
| ( SV150 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1175,plain,
! [SV151: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n2 ) ) )
= $false )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 )
| ( SV151 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1176,plain,
! [SV152: $i,SV164: $i,SV159: $i] :
( ( ! [SY314: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY315: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY315 )
| ~ ( leq @ SY315 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY315 )
= SY314 ) )
| ~ ( leq @ n0 @ SV152 ) )
| ~ ( leq @ SV152 @ SV159 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SY314 ) @ SV152 )
= SY314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1177,plain,
! [SV160: $i,SV165: $i,SV153: $i] :
( ( ! [SY316: $i,SY317: $i,SY318: $i,SY319: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SY316 ) )
| ( ( a_select3 @ SY317 @ SV165 @ SY316 )
!= SY318 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY317 @ SV153 @ SV160 @ SY319 ) @ SV165 @ SY316 )
= SY318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1178,plain,
! [SV154: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n3 ) ) )
= $false )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 )
| ( SV154 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1179,plain,
! [SV155: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV155 )
| ~ ( leq @ SV155 @ n1 ) ) )
= $false )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1180,plain,
! [SV166: $i,SV161: $i,SV156: $i] :
( ( ! [SY320: $i,SY321: $i] :
( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SY320 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SY321 ) @ SV161 )
= SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1181,plain,
! [SV167: $i,SV162: $i,SV157: $i,SV146: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV146 @ SV157 @ SV162 @ SV167 ) @ SV157 @ SV162 )
= SV167 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1182,plain,
! [SV148: $i] :
( ( ( ~ ( leq @ n0 @ SV148 )
| ~ ( leq @ SV148 @ n4 ) )
= $true )
| ( ( ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 )
| ( SV148 = n3 )
| ( SV148 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1183,plain,
! [SV149: $i] :
( ( ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n0 ) )
= $true )
| ( ( SV149 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1184,plain,
! [SV150: $i] :
( ( ( ~ ( leq @ n0 @ SV150 )
| ~ ( leq @ SV150 @ n5 ) )
= $true )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 )
| ( SV150 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1185,plain,
! [SV151: $i] :
( ( ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n2 ) )
= $true )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 )
| ( SV151 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1186,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV152 ) )
| ~ ( leq @ SV152 @ SV159 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1187,plain,
! [SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ! [SY323: $i,SY324: $i,SY325: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SY323 @ SV165 @ SV169 )
!= SY324 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY323 @ SV153 @ SV160 @ SY325 ) @ SV165 @ SV169 )
= SY324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1188,plain,
! [SV154: $i] :
( ( ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n3 ) )
= $true )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 )
| ( SV154 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1189,plain,
! [SV155: $i] :
( ( ( ~ ( leq @ n0 @ SV155 )
| ~ ( leq @ SV155 @ n1 ) )
= $true )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1190,plain,
! [SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ! [SY326: $i] :
( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SY326 ) @ SV161 )
= SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1191,plain,
! [SV148: $i] :
( ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ n4 ) )
= $true )
| ( ( ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 )
| ( SV148 = n3 )
| ( SV148 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1192,plain,
! [SV149: $i] :
( ( ( ~ ( leq @ n0 @ SV149 ) )
= $true )
| ( ( ~ ( leq @ SV149 @ n0 ) )
= $true )
| ( ( SV149 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1183]) ).
thf(1193,plain,
! [SV150: $i] :
( ( ( ~ ( leq @ n0 @ SV150 ) )
= $true )
| ( ( ~ ( leq @ SV150 @ n5 ) )
= $true )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 )
| ( SV150 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1184]) ).
thf(1194,plain,
! [SV151: $i] :
( ( ( ~ ( leq @ n0 @ SV151 ) )
= $true )
| ( ( ~ ( leq @ SV151 @ n2 ) )
= $true )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 )
| ( SV151 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1195,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV152 ) )
| ~ ( leq @ SV152 @ SV159 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1196,plain,
! [SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ! [SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SY327 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SY328 ) @ SV165 @ SV169 )
= SY327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1197,plain,
! [SV154: $i] :
( ( ( ~ ( leq @ n0 @ SV154 ) )
= $true )
| ( ( ~ ( leq @ SV154 @ n3 ) )
= $true )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 )
| ( SV154 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1198,plain,
! [SV155: $i] :
( ( ( ~ ( leq @ n0 @ SV155 ) )
= $true )
| ( ( ~ ( leq @ SV155 @ n1 ) )
= $true )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1199,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1200,plain,
! [SV148: $i] :
( ( ( leq @ n0 @ SV148 )
= $false )
| ( ( ~ ( leq @ SV148 @ n4 ) )
= $true )
| ( ( ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 )
| ( SV148 = n3 )
| ( SV148 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1201,plain,
! [SV149: $i] :
( ( ( leq @ n0 @ SV149 )
= $false )
| ( ( ~ ( leq @ SV149 @ n0 ) )
= $true )
| ( ( SV149 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1202,plain,
! [SV150: $i] :
( ( ( leq @ n0 @ SV150 )
= $false )
| ( ( ~ ( leq @ SV150 @ n5 ) )
= $true )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 )
| ( SV150 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1203,plain,
! [SV151: $i] :
( ( ( leq @ n0 @ SV151 )
= $false )
| ( ( ~ ( leq @ SV151 @ n2 ) )
= $true )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 )
| ( SV151 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1204,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV152 ) )
| ~ ( leq @ SV152 @ SV159 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1205,plain,
! [SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ! [SY329: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SY329 ) @ SV165 @ SV169 )
= SV173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1206,plain,
! [SV154: $i] :
( ( ( leq @ n0 @ SV154 )
= $false )
| ( ( ~ ( leq @ SV154 @ n3 ) )
= $true )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 )
| ( SV154 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1207,plain,
! [SV155: $i] :
( ( ( leq @ n0 @ SV155 )
= $false )
| ( ( ~ ( leq @ SV155 @ n1 ) )
= $true )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1208,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1209,plain,
! [SV148: $i] :
( ( ( leq @ SV148 @ n4 )
= $false )
| ( ( leq @ n0 @ SV148 )
= $false )
| ( ( ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 )
| ( SV148 = n3 )
| ( SV148 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1210,plain,
! [SV149: $i] :
( ( ( leq @ SV149 @ n0 )
= $false )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( SV149 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1211,plain,
! [SV150: $i] :
( ( ( leq @ SV150 @ n5 )
= $false )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 )
| ( SV150 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1212,plain,
! [SV151: $i] :
( ( ( leq @ SV151 @ n2 )
= $false )
| ( ( leq @ n0 @ SV151 )
= $false )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 )
| ( SV151 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1213,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV152 ) )
| ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1214,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1215,plain,
! [SV154: $i] :
( ( ( leq @ SV154 @ n3 )
= $false )
| ( ( leq @ n0 @ SV154 )
= $false )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 )
| ( SV154 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1216,plain,
! [SV155: $i] :
( ( ( leq @ SV155 @ n1 )
= $false )
| ( ( leq @ n0 @ SV155 )
= $false )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1217,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1218,plain,
! [SV148: $i] :
( ( ( ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 )
| ( SV148 = n3 ) )
= $true )
| ( ( SV148 = n4 )
= $true )
| ( ( leq @ n0 @ SV148 )
= $false )
| ( ( leq @ SV148 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1219,plain,
! [SV150: $i] :
( ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 ) )
= $true )
| ( ( SV150 = n5 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1220,plain,
! [SV151: $i] :
( ( ( ( SV151 = n0 )
| ( SV151 = n1 ) )
= $true )
| ( ( SV151 = n2 )
= $true )
| ( ( leq @ n0 @ SV151 )
= $false )
| ( ( leq @ SV151 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1221,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV152 ) ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1213]) ).
thf(1222,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1214]) ).
thf(1223,plain,
! [SV154: $i] :
( ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 ) )
= $true )
| ( ( SV154 = n3 )
= $true )
| ( ( leq @ n0 @ SV154 )
= $false )
| ( ( leq @ SV154 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1224,plain,
! [SV155: $i] :
( ( ( SV155 = n0 )
= $true )
| ( ( SV155 = n1 )
= $true )
| ( ( leq @ n0 @ SV155 )
= $false )
| ( ( leq @ SV155 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1216]) ).
thf(1225,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1226,plain,
! [SV148: $i] :
( ( ( ( SV148 = n0 )
| ( SV148 = n1 )
| ( SV148 = n2 ) )
= $true )
| ( ( SV148 = n3 )
= $true )
| ( ( SV148 = n4 )
= $true )
| ( ( leq @ n0 @ SV148 )
= $false )
| ( ( leq @ SV148 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1227,plain,
! [SV150: $i] :
( ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 ) )
= $true )
| ( ( SV150 = n4 )
= $true )
| ( ( SV150 = n5 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1228,plain,
! [SV151: $i] :
( ( ( SV151 = n0 )
= $true )
| ( ( SV151 = n1 )
= $true )
| ( ( SV151 = n2 )
= $true )
| ( ( leq @ n0 @ SV151 )
= $false )
| ( ( leq @ SV151 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1229,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV152 ) ) )
= $false )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1230,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1231,plain,
! [SV154: $i] :
( ( ( ( SV154 = n0 )
| ( SV154 = n1 ) )
= $true )
| ( ( SV154 = n2 )
= $true )
| ( ( SV154 = n3 )
= $true )
| ( ( leq @ n0 @ SV154 )
= $false )
| ( ( leq @ SV154 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1232,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( ~ ( ( SV156 != SV161 ) ) )
= $true )
| ( ( ( a_select2 @ SV166 @ SV161 )
!= SV170 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1225]) ).
thf(1233,plain,
! [SV148: $i] :
( ( ( ( SV148 = n0 )
| ( SV148 = n1 ) )
= $true )
| ( ( SV148 = n2 )
= $true )
| ( ( SV148 = n3 )
= $true )
| ( ( SV148 = n4 )
= $true )
| ( ( leq @ n0 @ SV148 )
= $false )
| ( ( leq @ SV148 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1226]) ).
thf(1234,plain,
! [SV150: $i] :
( ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 ) )
= $true )
| ( ( SV150 = n3 )
= $true )
| ( ( SV150 = n4 )
= $true )
| ( ( SV150 = n5 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1235,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1236,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1237,plain,
! [SV154: $i] :
( ( ( SV154 = n0 )
= $true )
| ( ( SV154 = n1 )
= $true )
| ( ( SV154 = n2 )
= $true )
| ( ( SV154 = n3 )
= $true )
| ( ( leq @ n0 @ SV154 )
= $false )
| ( ( leq @ SV154 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1238,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( SV156 != SV161 )
= $false )
| ( ( ( a_select2 @ SV166 @ SV161 )
!= SV170 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1239,plain,
! [SV148: $i] :
( ( ( SV148 = n0 )
= $true )
| ( ( SV148 = n1 )
= $true )
| ( ( SV148 = n2 )
= $true )
| ( ( SV148 = n3 )
= $true )
| ( ( SV148 = n4 )
= $true )
| ( ( leq @ n0 @ SV148 )
= $false )
| ( ( leq @ SV148 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1240,plain,
! [SV150: $i] :
( ( ( ( SV150 = n0 )
| ( SV150 = n1 ) )
= $true )
| ( ( SV150 = n2 )
= $true )
| ( ( SV150 = n3 )
= $true )
| ( ( SV150 = n4 )
= $true )
| ( ( SV150 = n5 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1241,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1242,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( ~ ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) ) )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1236]) ).
thf(1243,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( SV156 = SV161 )
= $true )
| ( ( ( a_select2 @ SV166 @ SV161 )
!= SV170 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1244,plain,
! [SV150: $i] :
( ( ( SV150 = n0 )
= $true )
| ( ( SV150 = n1 )
= $true )
| ( ( SV150 = n2 )
= $true )
| ( ( SV150 = n3 )
= $true )
| ( ( SV150 = n4 )
= $true )
| ( ( SV150 = n5 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1240]) ).
thf(1245,plain,
! [SV152: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1246,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( ~ ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) ) )
= $false )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1247,plain,
! [SV172: $i,SV156: $i,SV170: $i,SV161: $i,SV166: $i] :
( ( ( ( a_select2 @ SV166 @ SV161 )
= SV170 )
= $false )
| ( ( SV156 = SV161 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1248,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
| ~ ( leq @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) @ SV159 ) )
| ( ( a_select2 @ SV164 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
= SV168 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1245]) ).
thf(1249,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( ~ ( ( SV153 != SV165 ) )
| ( SV160 != SV169 ) )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1250,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
| ~ ( leq @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) @ SV159 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1248]) ).
thf(1251,plain,
! [SV159: $i,SV168: $i,SV152: $i,SV164: $i] :
( ( ( ( a_select2 @ SV164 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
= SV168 )
= $false )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1248]) ).
thf(1252,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( ~ ( ( SV153 != SV165 ) ) )
= $true )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1253,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
| ~ ( leq @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) @ SV159 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1254,plain,
! [SV159: $i,SV168: $i,SV164: $i,SV152: $i] :
( ( ( leq @ n0 @ SV152 )
= $false )
| ( ( ( a_select2 @ SV164 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
= SV168 )
= $false )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1255,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( SV153 != SV165 )
= $false )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1256,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
| ~ ( leq @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) @ SV159 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1257,plain,
! [SV168: $i,SV164: $i,SV159: $i,SV152: $i] :
( ( ( leq @ SV152 @ SV159 )
= $false )
| ( ( ( a_select2 @ SV164 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
= SV168 )
= $false )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1258,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV153: $i] :
( ( ( SV153 = SV165 )
= $true )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1259,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1260,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( ~ ( leq @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) @ SV159 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1256]) ).
thf(1261,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV165: $i,SV153: $i,SV169: $i,SV160: $i] :
( ( ( SV160 = SV169 )
= $false )
| ( ( SV153 = SV165 )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1262,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( leq @ n0 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1259]) ).
thf(1263,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( leq @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) @ SV159 )
= $true )
| ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1264,plain,
! [SV174: $i,SV160: $i,SV153: $i,SV173: $i,SV169: $i,SV165: $i,SV171: $i] :
( ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
= SV173 )
= $false )
| ( ( SV153 = SV165 )
= $true )
| ( ( SV160 = SV169 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV153 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1265,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( leq @ n0 @ SV152 )
= $false )
| ( ( leq @ n0 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1266,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV152: $i] :
( ( ( leq @ n0 @ SV152 )
= $false )
| ( ( leq @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) @ SV159 )
= $true )
| ( ( ~ ( leq @ SV152 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1267,plain,
! [SV164: $i,SV168: $i,SV159: $i,SV152: $i] :
( ( ( leq @ SV152 @ SV159 )
= $false )
| ( ( leq @ n0 @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) )
= $true )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1268,plain,
! [SV164: $i,SV168: $i,SV159: $i,SV152: $i] :
( ( ( leq @ SV152 @ SV159 )
= $false )
| ( ( leq @ ( sK6_SY322 @ SV152 @ SV168 @ SV164 @ SV159 ) @ SV159 )
= $true )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV152 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1269,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1094,1268,1267,1264,1257,1247,1244,1239,1237,1228,1224,1210,1181,1171,1154,1148,1134,1133,1132,1131,1130,1129,1128,1127,1126,1125,1124,1123,1122,1121,1120,1119,1118,1117,1116,1115,1108,1107,1106,1105,1104,1103,1102,1101,1100,1099,1098,1097,1096,1095]) ).
thf(1270,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(1271,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(1272,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1273,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(1274,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(1275,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1276,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1277,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1278,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1279,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1280,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1281,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1282,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1283,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1284,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1285,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1286,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1287,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1288,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1289,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1290,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1291,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(1292,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(1293,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1294,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1295,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1296,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1297,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1298,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1299,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1300,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1301,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1302,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(1303,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(1304,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(1305,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1306,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1307,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1308,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1309,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1310,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1311,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1312,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1313,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1314,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1315,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1316,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1317,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
!= use )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(1318,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1294]) ).
thf(1319,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1291]) ).
thf(1320,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1296]) ).
thf(1321,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1273]) ).
thf(1322,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1293]) ).
thf(1323,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1274]) ).
thf(1324,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1295]) ).
thf(1325,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1275]) ).
thf(1326,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1292]) ).
thf(1327,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1271]) ).
thf(1328,plain,
! [SV175: $i] :
( ( ! [SY330: $i,SY331: $i,SY332: $i] :
( ( a_select3 @ ( tptp_update3 @ SV175 @ SY330 @ SY331 @ SY332 ) @ SY330 @ SY331 )
= SY332 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1329,plain,
! [SV176: $i] :
( ( ! [SY333: $i,SY334: $i] :
( ( a_select2 @ ( tptp_update2 @ SV176 @ SY333 @ SY334 ) @ SY333 )
= SY334 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1330,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1331,plain,
! [SV177: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV177 )
| ~ ( leq @ SV177 @ n1 ) )
| ( SV177 = n0 )
| ( SV177 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1332,plain,
! [SV178: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV178 )
| ~ ( leq @ SV178 @ n4 ) )
| ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 )
| ( SV178 = n3 )
| ( SV178 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1333,plain,
! [SV179: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV179 )
| ~ ( leq @ SV179 @ n3 ) )
| ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 )
| ( SV179 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1334,plain,
! [SV180: $i] :
( ( ! [SY335: $i,SY336: $i,SY337: $i,SY338: $i] :
( ~ ~ ( ~ ( ( SV180 != SY335 ) )
| ( ( a_select2 @ SY336 @ SY335 )
!= SY337 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY336 @ SV180 @ SY338 ) @ SY335 )
= SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1335,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV181 )
| ~ ( leq @ SV181 @ n0 ) )
| ( SV181 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1336,plain,
! [SV182: $i] :
( ( ! [SY339: $i,SY340: $i,SY341: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY339 ) )
| ( ( a_select2 @ SY340 @ SX4 )
= SY341 ) )
| ~ ( leq @ n0 @ SV182 ) )
| ~ ( leq @ SV182 @ SY339 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY340 @ SY339 @ SY341 ) @ SV182 )
= SY341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1337,plain,
! [SV183: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV183 )
| ~ ( leq @ SV183 @ n2 ) )
| ( SV183 = n0 )
| ( SV183 = n1 )
| ( SV183 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1338,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1339,plain,
! [SV184: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV184 )
| ~ ( leq @ SV184 @ n5 ) )
| ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 )
| ( SV184 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1340,plain,
! [SV185: $i] :
( ( ! [SY343: $i,SY344: $i,SY345: $i,SY346: $i,SY347: $i,SY348: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV185 != SY344 ) )
| ( SY343 != SY345 ) )
| ( ( a_select3 @ SY346 @ SY344 @ SY345 )
!= SY347 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY346 @ SV185 @ SY343 @ SY348 ) @ SY344 @ SY345 )
= SY347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1341,plain,
! [SV186: $i,SV175: $i] :
( ( ! [SY349: $i,SY350: $i] :
( ( a_select3 @ ( tptp_update3 @ SV175 @ SV186 @ SY349 @ SY350 ) @ SV186 @ SY349 )
= SY350 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1342,plain,
! [SV187: $i,SV176: $i] :
( ( ! [SY351: $i] :
( ( a_select2 @ ( tptp_update2 @ SV176 @ SV187 @ SY351 ) @ SV187 )
= SY351 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1343,plain,
! [SV177: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV177 )
| ~ ( leq @ SV177 @ n1 ) ) )
= $true )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1331]) ).
thf(1344,plain,
! [SV178: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV178 )
| ~ ( leq @ SV178 @ n4 ) ) )
= $true )
| ( ( ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 )
| ( SV178 = n3 )
| ( SV178 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1345,plain,
! [SV179: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV179 )
| ~ ( leq @ SV179 @ n3 ) ) )
= $true )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 )
| ( SV179 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1333]) ).
thf(1346,plain,
! [SV188: $i,SV180: $i] :
( ( ! [SY352: $i,SY353: $i,SY354: $i] :
( ~ ~ ( ~ ( ( SV180 != SV188 ) )
| ( ( a_select2 @ SY352 @ SV188 )
!= SY353 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY352 @ SV180 @ SY354 ) @ SV188 )
= SY353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1347,plain,
! [SV181: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV181 )
| ~ ( leq @ SV181 @ n0 ) ) )
= $true )
| ( ( SV181 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1335]) ).
thf(1348,plain,
! [SV182: $i,SV189: $i] :
( ( ! [SY355: $i,SY356: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY357: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY357 )
| ~ ( leq @ SY357 @ SV189 ) )
| ( ( a_select2 @ SY355 @ SY357 )
= SY356 ) )
| ~ ( leq @ n0 @ SV182 ) )
| ~ ( leq @ SV182 @ SV189 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY355 @ SV189 @ SY356 ) @ SV182 )
= SY356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1349,plain,
! [SV183: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV183 )
| ~ ( leq @ SV183 @ n2 ) ) )
= $true )
| ( ( ( SV183 = n0 )
| ( SV183 = n1 )
| ( SV183 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1337]) ).
thf(1350,plain,
! [SV184: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV184 )
| ~ ( leq @ SV184 @ n5 ) ) )
= $true )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 )
| ( SV184 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1339]) ).
thf(1351,plain,
! [SV190: $i,SV185: $i] :
( ( ! [SY358: $i,SY359: $i,SY360: $i,SY361: $i,SY362: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV185 != SY358 ) )
| ( SV190 != SY359 ) )
| ( ( a_select3 @ SY360 @ SY358 @ SY359 )
!= SY361 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY360 @ SV185 @ SV190 @ SY362 ) @ SY358 @ SY359 )
= SY361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1340]) ).
thf(1352,plain,
! [SV191: $i,SV186: $i,SV175: $i] :
( ( ! [SY363: $i] :
( ( a_select3 @ ( tptp_update3 @ SV175 @ SV186 @ SV191 @ SY363 ) @ SV186 @ SV191 )
= SY363 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1353,plain,
! [SV192: $i,SV187: $i,SV176: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV176 @ SV187 @ SV192 ) @ SV187 )
= SV192 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1354,plain,
! [SV177: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV177 )
| ~ ( leq @ SV177 @ n1 ) ) )
= $false )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1355,plain,
! [SV178: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV178 )
| ~ ( leq @ SV178 @ n4 ) ) )
= $false )
| ( ( ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 )
| ( SV178 = n3 )
| ( SV178 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1356,plain,
! [SV179: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV179 )
| ~ ( leq @ SV179 @ n3 ) ) )
= $false )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 )
| ( SV179 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1357,plain,
! [SV193: $i,SV188: $i,SV180: $i] :
( ( ! [SY364: $i,SY365: $i] :
( ~ ~ ( ~ ( ( SV180 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SY364 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SY365 ) @ SV188 )
= SY364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1358,plain,
! [SV181: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV181 )
| ~ ( leq @ SV181 @ n0 ) ) )
= $false )
| ( ( SV181 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1359,plain,
! [SV182: $i,SV194: $i,SV189: $i] :
( ( ! [SY366: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY367: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY367 )
| ~ ( leq @ SY367 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY367 )
= SY366 ) )
| ~ ( leq @ n0 @ SV182 ) )
| ~ ( leq @ SV182 @ SV189 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SY366 ) @ SV182 )
= SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1360,plain,
! [SV183: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV183 )
| ~ ( leq @ SV183 @ n2 ) ) )
= $false )
| ( ( ( SV183 = n0 )
| ( SV183 = n1 )
| ( SV183 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1361,plain,
! [SV184: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV184 )
| ~ ( leq @ SV184 @ n5 ) ) )
= $false )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 )
| ( SV184 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1362,plain,
! [SV190: $i,SV195: $i,SV185: $i] :
( ( ! [SY368: $i,SY369: $i,SY370: $i,SY371: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SY368 ) )
| ( ( a_select3 @ SY369 @ SV195 @ SY368 )
!= SY370 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY369 @ SV185 @ SV190 @ SY371 ) @ SV195 @ SY368 )
= SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1363,plain,
! [SV196: $i,SV191: $i,SV186: $i,SV175: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV175 @ SV186 @ SV191 @ SV196 ) @ SV186 @ SV191 )
= SV196 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1364,plain,
! [SV177: $i] :
( ( ( ~ ( leq @ n0 @ SV177 )
| ~ ( leq @ SV177 @ n1 ) )
= $true )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1365,plain,
! [SV178: $i] :
( ( ( ~ ( leq @ n0 @ SV178 )
| ~ ( leq @ SV178 @ n4 ) )
= $true )
| ( ( ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 )
| ( SV178 = n3 )
| ( SV178 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1366,plain,
! [SV179: $i] :
( ( ( ~ ( leq @ n0 @ SV179 )
| ~ ( leq @ SV179 @ n3 ) )
= $true )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 )
| ( SV179 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1367,plain,
! [SV197: $i,SV193: $i,SV188: $i,SV180: $i] :
( ( ! [SY372: $i] :
( ~ ~ ( ~ ( ( SV180 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SY372 ) @ SV188 )
= SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1368,plain,
! [SV181: $i] :
( ( ( ~ ( leq @ n0 @ SV181 )
| ~ ( leq @ SV181 @ n0 ) )
= $true )
| ( ( SV181 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1369,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) )
| ~ ( leq @ n0 @ SV182 ) )
| ~ ( leq @ SV182 @ SV189 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1370,plain,
! [SV183: $i] :
( ( ( ~ ( leq @ n0 @ SV183 )
| ~ ( leq @ SV183 @ n2 ) )
= $true )
| ( ( ( SV183 = n0 )
| ( SV183 = n1 )
| ( SV183 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1371,plain,
! [SV184: $i] :
( ( ( ~ ( leq @ n0 @ SV184 )
| ~ ( leq @ SV184 @ n5 ) )
= $true )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 )
| ( SV184 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1372,plain,
! [SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ! [SY374: $i,SY375: $i,SY376: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) )
| ( ( a_select3 @ SY374 @ SV195 @ SV199 )
!= SY375 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY374 @ SV185 @ SV190 @ SY376 ) @ SV195 @ SV199 )
= SY375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1373,plain,
! [SV177: $i] :
( ( ( ~ ( leq @ n0 @ SV177 ) )
= $true )
| ( ( ~ ( leq @ SV177 @ n1 ) )
= $true )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1374,plain,
! [SV178: $i] :
( ( ( ~ ( leq @ n0 @ SV178 ) )
= $true )
| ( ( ~ ( leq @ SV178 @ n4 ) )
= $true )
| ( ( ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 )
| ( SV178 = n3 )
| ( SV178 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1375,plain,
! [SV179: $i] :
( ( ( ~ ( leq @ n0 @ SV179 ) )
= $true )
| ( ( ~ ( leq @ SV179 @ n3 ) )
= $true )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 )
| ( SV179 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1376,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV180: $i] :
( ( ~ ~ ( ~ ( ( SV180 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SV200 ) @ SV188 )
= SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1377,plain,
! [SV181: $i] :
( ( ( ~ ( leq @ n0 @ SV181 ) )
= $true )
| ( ( ~ ( leq @ SV181 @ n0 ) )
= $true )
| ( ( SV181 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1378,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) )
| ~ ( leq @ n0 @ SV182 ) )
| ~ ( leq @ SV182 @ SV189 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1369]) ).
thf(1379,plain,
! [SV183: $i] :
( ( ( ~ ( leq @ n0 @ SV183 ) )
= $true )
| ( ( ~ ( leq @ SV183 @ n2 ) )
= $true )
| ( ( ( SV183 = n0 )
| ( SV183 = n1 )
| ( SV183 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1380,plain,
! [SV184: $i] :
( ( ( ~ ( leq @ n0 @ SV184 ) )
= $true )
| ( ( ~ ( leq @ SV184 @ n5 ) )
= $true )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 )
| ( SV184 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1381,plain,
! [SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ! [SY377: $i,SY378: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) )
| ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SY377 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SY378 ) @ SV195 @ SV199 )
= SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1382,plain,
! [SV177: $i] :
( ( ( leq @ n0 @ SV177 )
= $false )
| ( ( ~ ( leq @ SV177 @ n1 ) )
= $true )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1383,plain,
! [SV178: $i] :
( ( ( leq @ n0 @ SV178 )
= $false )
| ( ( ~ ( leq @ SV178 @ n4 ) )
= $true )
| ( ( ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 )
| ( SV178 = n3 )
| ( SV178 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1384,plain,
! [SV179: $i] :
( ( ( leq @ n0 @ SV179 )
= $false )
| ( ( ~ ( leq @ SV179 @ n3 ) )
= $true )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 )
| ( SV179 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1385,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ( ( SV180 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1386,plain,
! [SV181: $i] :
( ( ( leq @ n0 @ SV181 )
= $false )
| ( ( ~ ( leq @ SV181 @ n0 ) )
= $true )
| ( ( SV181 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1387,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) )
| ~ ( leq @ n0 @ SV182 ) )
| ~ ( leq @ SV182 @ SV189 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1388,plain,
! [SV183: $i] :
( ( ( leq @ n0 @ SV183 )
= $false )
| ( ( ~ ( leq @ SV183 @ n2 ) )
= $true )
| ( ( ( SV183 = n0 )
| ( SV183 = n1 )
| ( SV183 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1389,plain,
! [SV184: $i] :
( ( ( leq @ n0 @ SV184 )
= $false )
| ( ( ~ ( leq @ SV184 @ n5 ) )
= $true )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 )
| ( SV184 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1390,plain,
! [SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ! [SY379: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) )
| ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SY379 ) @ SV195 @ SV199 )
= SV202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1391,plain,
! [SV177: $i] :
( ( ( leq @ SV177 @ n1 )
= $false )
| ( ( leq @ n0 @ SV177 )
= $false )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1392,plain,
! [SV178: $i] :
( ( ( leq @ SV178 @ n4 )
= $false )
| ( ( leq @ n0 @ SV178 )
= $false )
| ( ( ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 )
| ( SV178 = n3 )
| ( SV178 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1393,plain,
! [SV179: $i] :
( ( ( leq @ SV179 @ n3 )
= $false )
| ( ( leq @ n0 @ SV179 )
= $false )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 )
| ( SV179 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1394,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV180: $i] :
( ( ( ~ ( ~ ( ( SV180 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1395,plain,
! [SV181: $i] :
( ( ( leq @ SV181 @ n0 )
= $false )
| ( ( leq @ n0 @ SV181 )
= $false )
| ( ( SV181 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1396,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ( ~ ~ ( ~ ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) )
| ~ ( leq @ n0 @ SV182 ) )
| ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1387]) ).
thf(1397,plain,
! [SV183: $i] :
( ( ( leq @ SV183 @ n2 )
= $false )
| ( ( leq @ n0 @ SV183 )
= $false )
| ( ( ( SV183 = n0 )
| ( SV183 = n1 )
| ( SV183 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1398,plain,
! [SV184: $i] :
( ( ( leq @ SV184 @ n5 )
= $false )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 )
| ( SV184 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1399,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) )
| ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1400,plain,
! [SV177: $i] :
( ( ( SV177 = n0 )
= $true )
| ( ( SV177 = n1 )
= $true )
| ( ( leq @ n0 @ SV177 )
= $false )
| ( ( leq @ SV177 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1391]) ).
thf(1401,plain,
! [SV178: $i] :
( ( ( ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 )
| ( SV178 = n3 ) )
= $true )
| ( ( SV178 = n4 )
= $true )
| ( ( leq @ n0 @ SV178 )
= $false )
| ( ( leq @ SV178 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1402,plain,
! [SV179: $i] :
( ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 ) )
= $true )
| ( ( SV179 = n3 )
= $true )
| ( ( leq @ n0 @ SV179 )
= $false )
| ( ( leq @ SV179 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1393]) ).
thf(1403,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV180: $i] :
( ( ( ~ ( ( SV180 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1394]) ).
thf(1404,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ( ~ ~ ( ~ ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) )
| ~ ( leq @ n0 @ SV182 ) ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1405,plain,
! [SV183: $i] :
( ( ( ( SV183 = n0 )
| ( SV183 = n1 ) )
= $true )
| ( ( SV183 = n2 )
= $true )
| ( ( leq @ n0 @ SV183 )
= $false )
| ( ( leq @ SV183 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1397]) ).
thf(1406,plain,
! [SV184: $i] :
( ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 ) )
= $true )
| ( ( SV184 = n5 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1407,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) )
| ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1408,plain,
! [SV178: $i] :
( ( ( ( SV178 = n0 )
| ( SV178 = n1 )
| ( SV178 = n2 ) )
= $true )
| ( ( SV178 = n3 )
= $true )
| ( ( SV178 = n4 )
= $true )
| ( ( leq @ n0 @ SV178 )
= $false )
| ( ( leq @ SV178 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1401]) ).
thf(1409,plain,
! [SV179: $i] :
( ( ( ( SV179 = n0 )
| ( SV179 = n1 ) )
= $true )
| ( ( SV179 = n2 )
= $true )
| ( ( SV179 = n3 )
= $true )
| ( ( leq @ n0 @ SV179 )
= $false )
| ( ( leq @ SV179 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1410,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV180: $i] :
( ( ( ~ ( ( SV180 != SV188 ) ) )
= $true )
| ( ( ( a_select2 @ SV193 @ SV188 )
!= SV197 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1411,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ( ~ ( ~ ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) )
| ~ ( leq @ n0 @ SV182 ) ) )
= $false )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1412,plain,
! [SV183: $i] :
( ( ( SV183 = n0 )
= $true )
| ( ( SV183 = n1 )
= $true )
| ( ( SV183 = n2 )
= $true )
| ( ( leq @ n0 @ SV183 )
= $false )
| ( ( leq @ SV183 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1405]) ).
thf(1413,plain,
! [SV184: $i] :
( ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 ) )
= $true )
| ( ( SV184 = n4 )
= $true )
| ( ( SV184 = n5 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1414,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) )
| ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1415,plain,
! [SV178: $i] :
( ( ( ( SV178 = n0 )
| ( SV178 = n1 ) )
= $true )
| ( ( SV178 = n2 )
= $true )
| ( ( SV178 = n3 )
= $true )
| ( ( SV178 = n4 )
= $true )
| ( ( leq @ n0 @ SV178 )
= $false )
| ( ( leq @ SV178 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1416,plain,
! [SV179: $i] :
( ( ( SV179 = n0 )
= $true )
| ( ( SV179 = n1 )
= $true )
| ( ( SV179 = n2 )
= $true )
| ( ( SV179 = n3 )
= $true )
| ( ( leq @ n0 @ SV179 )
= $false )
| ( ( leq @ SV179 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1417,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV180: $i] :
( ( ( SV180 != SV188 )
= $false )
| ( ( ( a_select2 @ SV193 @ SV188 )
!= SV197 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1418,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ( ~ ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) )
| ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1411]) ).
thf(1419,plain,
! [SV184: $i] :
( ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 ) )
= $true )
| ( ( SV184 = n3 )
= $true )
| ( ( SV184 = n4 )
= $true )
| ( ( SV184 = n5 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1413]) ).
thf(1420,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) )
| ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1421,plain,
! [SV178: $i] :
( ( ( SV178 = n0 )
= $true )
| ( ( SV178 = n1 )
= $true )
| ( ( SV178 = n2 )
= $true )
| ( ( SV178 = n3 )
= $true )
| ( ( SV178 = n4 )
= $true )
| ( ( leq @ n0 @ SV178 )
= $false )
| ( ( leq @ SV178 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1415]) ).
thf(1422,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV180: $i] :
( ( ( SV180 = SV188 )
= $true )
| ( ( ( a_select2 @ SV193 @ SV188 )
!= SV197 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1417]) ).
thf(1423,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ( ~ ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1418]) ).
thf(1424,plain,
! [SV184: $i] :
( ( ( ( SV184 = n0 )
| ( SV184 = n1 ) )
= $true )
| ( ( SV184 = n2 )
= $true )
| ( ( SV184 = n3 )
= $true )
| ( ( SV184 = n4 )
= $true )
| ( ( SV184 = n5 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1425,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( ~ ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) ) )
= $true )
| ( ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1420]) ).
thf(1426,plain,
! [SV200: $i,SV180: $i,SV197: $i,SV188: $i,SV193: $i] :
( ( ( ( a_select2 @ SV193 @ SV188 )
= SV197 )
= $false )
| ( ( SV180 = SV188 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV180 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1427,plain,
! [SV182: $i,SV198: $i,SV194: $i,SV189: $i] :
( ( ( ! [SY373: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY373 )
| ~ ( leq @ SY373 @ SV189 ) )
| ( ( a_select2 @ SV194 @ SY373 )
= SV198 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1428,plain,
! [SV184: $i] :
( ( ( SV184 = n0 )
= $true )
| ( ( SV184 = n1 )
= $true )
| ( ( SV184 = n2 )
= $true )
| ( ( SV184 = n3 )
= $true )
| ( ( SV184 = n4 )
= $true )
| ( ( SV184 = n5 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1429,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( ~ ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) ) )
= $false )
| ( ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1430,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
| ~ ( leq @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) @ SV189 ) )
| ( ( a_select2 @ SV194 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
= SV198 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1427]) ).
thf(1431,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( ~ ( ( SV185 != SV195 ) )
| ( SV190 != SV199 ) )
= $true )
| ( ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1432,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
| ~ ( leq @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) @ SV189 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1433,plain,
! [SV189: $i,SV198: $i,SV182: $i,SV194: $i] :
( ( ( ( a_select2 @ SV194 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
= SV198 )
= $false )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1434,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( ~ ( ( SV185 != SV195 ) ) )
= $true )
| ( ( SV190 != SV199 )
= $true )
| ( ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1431]) ).
thf(1435,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
| ~ ( leq @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) @ SV189 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1436,plain,
! [SV189: $i,SV198: $i,SV194: $i,SV182: $i] :
( ( ( leq @ n0 @ SV182 )
= $false )
| ( ( ( a_select2 @ SV194 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
= SV198 )
= $false )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1437,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( SV185 != SV195 )
= $false )
| ( ( SV190 != SV199 )
= $true )
| ( ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1438,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( ~ ( leq @ n0 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
| ~ ( leq @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) @ SV189 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1439,plain,
! [SV198: $i,SV194: $i,SV189: $i,SV182: $i] :
( ( ( leq @ SV182 @ SV189 )
= $false )
| ( ( ( a_select2 @ SV194 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
= SV198 )
= $false )
| ( ( leq @ n0 @ SV182 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1440,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV199: $i,SV190: $i,SV195: $i,SV185: $i] :
( ( ( SV185 = SV195 )
= $true )
| ( ( SV190 != SV199 )
= $true )
| ( ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1441,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( ~ ( leq @ n0 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1442,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( ~ ( leq @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) @ SV189 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1443,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV195: $i,SV185: $i,SV199: $i,SV190: $i] :
( ( ( SV190 = SV199 )
= $false )
| ( ( SV185 = SV195 )
= $true )
| ( ( ( a_select3 @ SV201 @ SV195 @ SV199 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1444,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( leq @ n0 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1445,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( leq @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) @ SV189 )
= $true )
| ( ( ~ ( leq @ n0 @ SV182 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1446,plain,
! [SV203: $i,SV190: $i,SV185: $i,SV202: $i,SV199: $i,SV195: $i,SV201: $i] :
( ( ( ( a_select3 @ SV201 @ SV195 @ SV199 )
= SV202 )
= $false )
| ( ( SV185 = SV195 )
= $true )
| ( ( SV190 = SV199 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV185 @ SV190 @ SV203 ) @ SV195 @ SV199 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1447,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( leq @ n0 @ SV182 )
= $false )
| ( ( leq @ n0 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1448,plain,
! [SV189: $i,SV194: $i,SV198: $i,SV182: $i] :
( ( ( leq @ n0 @ SV182 )
= $false )
| ( ( leq @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) @ SV189 )
= $true )
| ( ( ~ ( leq @ SV182 @ SV189 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1449,plain,
! [SV194: $i,SV198: $i,SV189: $i,SV182: $i] :
( ( ( leq @ SV182 @ SV189 )
= $false )
| ( ( leq @ n0 @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) )
= $true )
| ( ( leq @ n0 @ SV182 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1450,plain,
! [SV194: $i,SV198: $i,SV189: $i,SV182: $i] :
( ( ( leq @ SV182 @ SV189 )
= $false )
| ( ( leq @ ( sK7_SY373 @ SV182 @ SV198 @ SV194 @ SV189 ) @ SV189 )
= $true )
| ( ( leq @ n0 @ SV182 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV194 @ SV189 @ SV198 ) @ SV182 )
= SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1451,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1276,1450,1449,1446,1439,1428,1426,1421,1416,1412,1400,1395,1363,1353,1338,1330,1316,1315,1314,1313,1312,1311,1310,1309,1308,1307,1306,1305,1304,1303,1302,1301,1300,1299,1298,1297,1290,1289,1288,1287,1286,1285,1284,1283,1282,1281,1280,1279,1278,1277]) ).
thf(1452,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(1453,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(1454,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1455,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(1456,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(1457,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1458,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1459,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1460,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1461,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1462,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1463,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1464,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1465,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1466,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1467,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1468,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1469,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1470,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1471,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1472,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1473,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(1474,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(1475,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1476,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1477,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1478,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1479,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1480,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1481,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1482,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1483,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1484,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(1485,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(1486,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(1487,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1488,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1489,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1490,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1491,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1492,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1493,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1494,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1495,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1496,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1497,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1498,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1499,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
!= use )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(1500,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1473]) ).
thf(1501,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1456]) ).
thf(1502,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1455]) ).
thf(1503,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1478]) ).
thf(1504,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1476]) ).
thf(1505,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1474]) ).
thf(1506,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1475]) ).
thf(1507,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1477]) ).
thf(1508,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1453]) ).
thf(1509,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1457]) ).
thf(1510,plain,
! [SV204: $i] :
( ( ! [SY380: $i,SY381: $i,SY382: $i] :
( ( a_select3 @ ( tptp_update3 @ SV204 @ SY380 @ SY381 @ SY382 ) @ SY380 @ SY381 )
= SY382 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1511,plain,
! [SV205: $i] :
( ( ! [SY383: $i,SY384: $i] :
( ( a_select2 @ ( tptp_update2 @ SV205 @ SY383 @ SY384 ) @ SY383 )
= SY384 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1512,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1513,plain,
! [SV206: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV206 )
| ~ ( leq @ SV206 @ n4 ) )
| ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 )
| ( SV206 = n3 )
| ( SV206 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1514,plain,
! [SV207: $i] :
( ( ! [SY385: $i,SY386: $i,SY387: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY385 ) )
| ( ( a_select2 @ SY386 @ SX4 )
= SY387 ) )
| ~ ( leq @ n0 @ SV207 ) )
| ~ ( leq @ SV207 @ SY385 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY386 @ SY385 @ SY387 ) @ SV207 )
= SY387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1515,plain,
! [SV208: $i] :
( ( ! [SY389: $i,SY390: $i,SY391: $i,SY392: $i] :
( ~ ~ ( ~ ( ( SV208 != SY389 ) )
| ( ( a_select2 @ SY390 @ SY389 )
!= SY391 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY390 @ SV208 @ SY392 ) @ SY389 )
= SY391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1516,plain,
! [SV209: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV209 )
| ~ ( leq @ SV209 @ n3 ) )
| ( SV209 = n0 )
| ( SV209 = n1 )
| ( SV209 = n2 )
| ( SV209 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1517,plain,
! [SV210: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV210 )
| ~ ( leq @ SV210 @ n1 ) )
| ( SV210 = n0 )
| ( SV210 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(1518,plain,
! [SV211: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV211 )
| ~ ( leq @ SV211 @ n5 ) )
| ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 )
| ( SV211 = n4 )
| ( SV211 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1519,plain,
! [SV212: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV212 )
| ~ ( leq @ SV212 @ n0 ) )
| ( SV212 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1520,plain,
! [SV213: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV213 )
| ~ ( leq @ SV213 @ n2 ) )
| ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1507]) ).
thf(1521,plain,
! [SV214: $i] :
( ( ! [SY393: $i,SY394: $i,SY395: $i,SY396: $i,SY397: $i,SY398: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV214 != SY394 ) )
| ( SY393 != SY395 ) )
| ( ( a_select3 @ SY396 @ SY394 @ SY395 )
!= SY397 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY396 @ SV214 @ SY393 @ SY398 ) @ SY394 @ SY395 )
= SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1522,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1523,plain,
! [SV215: $i,SV204: $i] :
( ( ! [SY399: $i,SY400: $i] :
( ( a_select3 @ ( tptp_update3 @ SV204 @ SV215 @ SY399 @ SY400 ) @ SV215 @ SY399 )
= SY400 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1524,plain,
! [SV216: $i,SV205: $i] :
( ( ! [SY401: $i] :
( ( a_select2 @ ( tptp_update2 @ SV205 @ SV216 @ SY401 ) @ SV216 )
= SY401 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1525,plain,
! [SV206: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV206 )
| ~ ( leq @ SV206 @ n4 ) ) )
= $true )
| ( ( ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 )
| ( SV206 = n3 )
| ( SV206 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1526,plain,
! [SV207: $i,SV217: $i] :
( ( ! [SY402: $i,SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY404: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY404 )
| ~ ( leq @ SY404 @ SV217 ) )
| ( ( a_select2 @ SY402 @ SY404 )
= SY403 ) )
| ~ ( leq @ n0 @ SV207 ) )
| ~ ( leq @ SV207 @ SV217 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY402 @ SV217 @ SY403 ) @ SV207 )
= SY403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1527,plain,
! [SV218: $i,SV208: $i] :
( ( ! [SY405: $i,SY406: $i,SY407: $i] :
( ~ ~ ( ~ ( ( SV208 != SV218 ) )
| ( ( a_select2 @ SY405 @ SV218 )
!= SY406 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY405 @ SV208 @ SY407 ) @ SV218 )
= SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(1528,plain,
! [SV209: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV209 )
| ~ ( leq @ SV209 @ n3 ) ) )
= $true )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 )
| ( SV209 = n2 )
| ( SV209 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1516]) ).
thf(1529,plain,
! [SV210: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV210 )
| ~ ( leq @ SV210 @ n1 ) ) )
= $true )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1517]) ).
thf(1530,plain,
! [SV211: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV211 )
| ~ ( leq @ SV211 @ n5 ) ) )
= $true )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 )
| ( SV211 = n4 )
| ( SV211 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1518]) ).
thf(1531,plain,
! [SV212: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV212 )
| ~ ( leq @ SV212 @ n0 ) ) )
= $true )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1532,plain,
! [SV213: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV213 )
| ~ ( leq @ SV213 @ n2 ) ) )
= $true )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1533,plain,
! [SV219: $i,SV214: $i] :
( ( ! [SY408: $i,SY409: $i,SY410: $i,SY411: $i,SY412: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV214 != SY408 ) )
| ( SV219 != SY409 ) )
| ( ( a_select3 @ SY410 @ SY408 @ SY409 )
!= SY411 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY410 @ SV214 @ SV219 @ SY412 ) @ SY408 @ SY409 )
= SY411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1534,plain,
! [SV220: $i,SV215: $i,SV204: $i] :
( ( ! [SY413: $i] :
( ( a_select3 @ ( tptp_update3 @ SV204 @ SV215 @ SV220 @ SY413 ) @ SV215 @ SV220 )
= SY413 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1535,plain,
! [SV221: $i,SV216: $i,SV205: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV205 @ SV216 @ SV221 ) @ SV216 )
= SV221 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1536,plain,
! [SV206: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV206 )
| ~ ( leq @ SV206 @ n4 ) ) )
= $false )
| ( ( ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 )
| ( SV206 = n3 )
| ( SV206 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1537,plain,
! [SV207: $i,SV222: $i,SV217: $i] :
( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY415: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY415 )
| ~ ( leq @ SY415 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY415 )
= SY414 ) )
| ~ ( leq @ n0 @ SV207 ) )
| ~ ( leq @ SV207 @ SV217 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SY414 ) @ SV207 )
= SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1538,plain,
! [SV223: $i,SV218: $i,SV208: $i] :
( ( ! [SY416: $i,SY417: $i] :
( ~ ~ ( ~ ( ( SV208 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SY416 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SY417 ) @ SV218 )
= SY416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1527]) ).
thf(1539,plain,
! [SV209: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV209 )
| ~ ( leq @ SV209 @ n3 ) ) )
= $false )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 )
| ( SV209 = n2 )
| ( SV209 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1540,plain,
! [SV210: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV210 )
| ~ ( leq @ SV210 @ n1 ) ) )
= $false )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1541,plain,
! [SV211: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV211 )
| ~ ( leq @ SV211 @ n5 ) ) )
= $false )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 )
| ( SV211 = n4 )
| ( SV211 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1542,plain,
! [SV212: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV212 )
| ~ ( leq @ SV212 @ n0 ) ) )
= $false )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1543,plain,
! [SV213: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV213 )
| ~ ( leq @ SV213 @ n2 ) ) )
= $false )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1544,plain,
! [SV219: $i,SV224: $i,SV214: $i] :
( ( ! [SY418: $i,SY419: $i,SY420: $i,SY421: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SY418 ) )
| ( ( a_select3 @ SY419 @ SV224 @ SY418 )
!= SY420 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY419 @ SV214 @ SV219 @ SY421 ) @ SV224 @ SY418 )
= SY420 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1545,plain,
! [SV225: $i,SV220: $i,SV215: $i,SV204: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV204 @ SV215 @ SV220 @ SV225 ) @ SV215 @ SV220 )
= SV225 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(1546,plain,
! [SV206: $i] :
( ( ( ~ ( leq @ n0 @ SV206 )
| ~ ( leq @ SV206 @ n4 ) )
= $true )
| ( ( ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 )
| ( SV206 = n3 )
| ( SV206 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1547,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV207 ) )
| ~ ( leq @ SV207 @ SV217 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(1548,plain,
! [SV227: $i,SV223: $i,SV218: $i,SV208: $i] :
( ( ! [SY423: $i] :
( ~ ~ ( ~ ( ( SV208 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SY423 ) @ SV218 )
= SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(1549,plain,
! [SV209: $i] :
( ( ( ~ ( leq @ n0 @ SV209 )
| ~ ( leq @ SV209 @ n3 ) )
= $true )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 )
| ( SV209 = n2 )
| ( SV209 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1539]) ).
thf(1550,plain,
! [SV210: $i] :
( ( ( ~ ( leq @ n0 @ SV210 )
| ~ ( leq @ SV210 @ n1 ) )
= $true )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1540]) ).
thf(1551,plain,
! [SV211: $i] :
( ( ( ~ ( leq @ n0 @ SV211 )
| ~ ( leq @ SV211 @ n5 ) )
= $true )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 )
| ( SV211 = n4 )
| ( SV211 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1552,plain,
! [SV212: $i] :
( ( ( ~ ( leq @ n0 @ SV212 )
| ~ ( leq @ SV212 @ n0 ) )
= $true )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1553,plain,
! [SV213: $i] :
( ( ( ~ ( leq @ n0 @ SV213 )
| ~ ( leq @ SV213 @ n2 ) )
= $true )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1554,plain,
! [SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ! [SY424: $i,SY425: $i,SY426: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) )
| ( ( a_select3 @ SY424 @ SV224 @ SV228 )
!= SY425 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY424 @ SV214 @ SV219 @ SY426 ) @ SV224 @ SV228 )
= SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1555,plain,
! [SV206: $i] :
( ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ n4 ) )
= $true )
| ( ( ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 )
| ( SV206 = n3 )
| ( SV206 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1556,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV207 ) )
| ~ ( leq @ SV207 @ SV217 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1557,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV208: $i] :
( ( ~ ~ ( ~ ( ( SV208 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SV229 ) @ SV218 )
= SV227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(1558,plain,
! [SV209: $i] :
( ( ( ~ ( leq @ n0 @ SV209 ) )
= $true )
| ( ( ~ ( leq @ SV209 @ n3 ) )
= $true )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 )
| ( SV209 = n2 )
| ( SV209 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1549]) ).
thf(1559,plain,
! [SV210: $i] :
( ( ( ~ ( leq @ n0 @ SV210 ) )
= $true )
| ( ( ~ ( leq @ SV210 @ n1 ) )
= $true )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1550]) ).
thf(1560,plain,
! [SV211: $i] :
( ( ( ~ ( leq @ n0 @ SV211 ) )
= $true )
| ( ( ~ ( leq @ SV211 @ n5 ) )
= $true )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 )
| ( SV211 = n4 )
| ( SV211 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1561,plain,
! [SV212: $i] :
( ( ( ~ ( leq @ n0 @ SV212 ) )
= $true )
| ( ( ~ ( leq @ SV212 @ n0 ) )
= $true )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1562,plain,
! [SV213: $i] :
( ( ( ~ ( leq @ n0 @ SV213 ) )
= $true )
| ( ( ~ ( leq @ SV213 @ n2 ) )
= $true )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1563,plain,
! [SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ! [SY427: $i,SY428: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) )
| ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SY427 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SY428 ) @ SV224 @ SV228 )
= SY427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1564,plain,
! [SV206: $i] :
( ( ( leq @ n0 @ SV206 )
= $false )
| ( ( ~ ( leq @ SV206 @ n4 ) )
= $true )
| ( ( ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 )
| ( SV206 = n3 )
| ( SV206 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1565,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV207 ) )
| ~ ( leq @ SV207 @ SV217 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1566,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV208: $i] :
( ( ( ~ ~ ( ~ ( ( SV208 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1557]) ).
thf(1567,plain,
! [SV209: $i] :
( ( ( leq @ n0 @ SV209 )
= $false )
| ( ( ~ ( leq @ SV209 @ n3 ) )
= $true )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 )
| ( SV209 = n2 )
| ( SV209 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1568,plain,
! [SV210: $i] :
( ( ( leq @ n0 @ SV210 )
= $false )
| ( ( ~ ( leq @ SV210 @ n1 ) )
= $true )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1569,plain,
! [SV211: $i] :
( ( ( leq @ n0 @ SV211 )
= $false )
| ( ( ~ ( leq @ SV211 @ n5 ) )
= $true )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 )
| ( SV211 = n4 )
| ( SV211 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1570,plain,
! [SV212: $i] :
( ( ( leq @ n0 @ SV212 )
= $false )
| ( ( ~ ( leq @ SV212 @ n0 ) )
= $true )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1571,plain,
! [SV213: $i] :
( ( ( leq @ n0 @ SV213 )
= $false )
| ( ( ~ ( leq @ SV213 @ n2 ) )
= $true )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1572,plain,
! [SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ! [SY429: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) )
| ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SY429 ) @ SV224 @ SV228 )
= SV231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(1573,plain,
! [SV206: $i] :
( ( ( leq @ SV206 @ n4 )
= $false )
| ( ( leq @ n0 @ SV206 )
= $false )
| ( ( ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 )
| ( SV206 = n3 )
| ( SV206 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1574,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV207 ) )
| ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1575,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV208: $i] :
( ( ( ~ ( ~ ( ( SV208 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1576,plain,
! [SV209: $i] :
( ( ( leq @ SV209 @ n3 )
= $false )
| ( ( leq @ n0 @ SV209 )
= $false )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 )
| ( SV209 = n2 )
| ( SV209 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1577,plain,
! [SV210: $i] :
( ( ( leq @ SV210 @ n1 )
= $false )
| ( ( leq @ n0 @ SV210 )
= $false )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1578,plain,
! [SV211: $i] :
( ( ( leq @ SV211 @ n5 )
= $false )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 )
| ( SV211 = n4 )
| ( SV211 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1579,plain,
! [SV212: $i] :
( ( ( leq @ SV212 @ n0 )
= $false )
| ( ( leq @ n0 @ SV212 )
= $false )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1580,plain,
! [SV213: $i] :
( ( ( leq @ SV213 @ n2 )
= $false )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1581,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) )
| ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(1582,plain,
! [SV206: $i] :
( ( ( ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 )
| ( SV206 = n3 ) )
= $true )
| ( ( SV206 = n4 )
= $true )
| ( ( leq @ n0 @ SV206 )
= $false )
| ( ( leq @ SV206 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1573]) ).
thf(1583,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV207 ) ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1574]) ).
thf(1584,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV208: $i] :
( ( ( ~ ( ( SV208 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1585,plain,
! [SV209: $i] :
( ( ( ( SV209 = n0 )
| ( SV209 = n1 )
| ( SV209 = n2 ) )
= $true )
| ( ( SV209 = n3 )
= $true )
| ( ( leq @ n0 @ SV209 )
= $false )
| ( ( leq @ SV209 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1586,plain,
! [SV210: $i] :
( ( ( SV210 = n0 )
= $true )
| ( ( SV210 = n1 )
= $true )
| ( ( leq @ n0 @ SV210 )
= $false )
| ( ( leq @ SV210 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1587,plain,
! [SV211: $i] :
( ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 )
| ( SV211 = n4 ) )
= $true )
| ( ( SV211 = n5 )
= $true )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( leq @ SV211 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1578]) ).
thf(1588,plain,
! [SV213: $i] :
( ( ( ( SV213 = n0 )
| ( SV213 = n1 ) )
= $true )
| ( ( SV213 = n2 )
= $true )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( leq @ SV213 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1580]) ).
thf(1589,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) )
| ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1581]) ).
thf(1590,plain,
! [SV206: $i] :
( ( ( ( SV206 = n0 )
| ( SV206 = n1 )
| ( SV206 = n2 ) )
= $true )
| ( ( SV206 = n3 )
= $true )
| ( ( SV206 = n4 )
= $true )
| ( ( leq @ n0 @ SV206 )
= $false )
| ( ( leq @ SV206 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1591,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV207 ) ) )
= $false )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1592,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV208: $i] :
( ( ( ~ ( ( SV208 != SV218 ) ) )
= $true )
| ( ( ( a_select2 @ SV223 @ SV218 )
!= SV227 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1584]) ).
thf(1593,plain,
! [SV209: $i] :
( ( ( ( SV209 = n0 )
| ( SV209 = n1 ) )
= $true )
| ( ( SV209 = n2 )
= $true )
| ( ( SV209 = n3 )
= $true )
| ( ( leq @ n0 @ SV209 )
= $false )
| ( ( leq @ SV209 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1585]) ).
thf(1594,plain,
! [SV211: $i] :
( ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 )
| ( SV211 = n3 ) )
= $true )
| ( ( SV211 = n4 )
= $true )
| ( ( SV211 = n5 )
= $true )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( leq @ SV211 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(1595,plain,
! [SV213: $i] :
( ( ( SV213 = n0 )
= $true )
| ( ( SV213 = n1 )
= $true )
| ( ( SV213 = n2 )
= $true )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( leq @ SV213 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1588]) ).
thf(1596,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) )
| ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1597,plain,
! [SV206: $i] :
( ( ( ( SV206 = n0 )
| ( SV206 = n1 ) )
= $true )
| ( ( SV206 = n2 )
= $true )
| ( ( SV206 = n3 )
= $true )
| ( ( SV206 = n4 )
= $true )
| ( ( leq @ n0 @ SV206 )
= $false )
| ( ( leq @ SV206 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1590]) ).
thf(1598,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1599,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV208: $i] :
( ( ( SV208 != SV218 )
= $false )
| ( ( ( a_select2 @ SV223 @ SV218 )
!= SV227 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1592]) ).
thf(1600,plain,
! [SV209: $i] :
( ( ( SV209 = n0 )
= $true )
| ( ( SV209 = n1 )
= $true )
| ( ( SV209 = n2 )
= $true )
| ( ( SV209 = n3 )
= $true )
| ( ( leq @ n0 @ SV209 )
= $false )
| ( ( leq @ SV209 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1593]) ).
thf(1601,plain,
! [SV211: $i] :
( ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 ) )
= $true )
| ( ( SV211 = n3 )
= $true )
| ( ( SV211 = n4 )
= $true )
| ( ( SV211 = n5 )
= $true )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( leq @ SV211 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1594]) ).
thf(1602,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) )
| ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1603,plain,
! [SV206: $i] :
( ( ( SV206 = n0 )
= $true )
| ( ( SV206 = n1 )
= $true )
| ( ( SV206 = n2 )
= $true )
| ( ( SV206 = n3 )
= $true )
| ( ( SV206 = n4 )
= $true )
| ( ( leq @ n0 @ SV206 )
= $false )
| ( ( leq @ SV206 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1597]) ).
thf(1604,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1598]) ).
thf(1605,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV208: $i] :
( ( ( SV208 = SV218 )
= $true )
| ( ( ( a_select2 @ SV223 @ SV218 )
!= SV227 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1606,plain,
! [SV211: $i] :
( ( ( ( SV211 = n0 )
| ( SV211 = n1 ) )
= $true )
| ( ( SV211 = n2 )
= $true )
| ( ( SV211 = n3 )
= $true )
| ( ( SV211 = n4 )
= $true )
| ( ( SV211 = n5 )
= $true )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( leq @ SV211 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1601]) ).
thf(1607,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( ~ ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) ) )
= $true )
| ( ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(1608,plain,
! [SV207: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1609,plain,
! [SV229: $i,SV208: $i,SV227: $i,SV218: $i,SV223: $i] :
( ( ( ( a_select2 @ SV223 @ SV218 )
= SV227 )
= $false )
| ( ( SV208 = SV218 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV208 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1610,plain,
! [SV211: $i] :
( ( ( SV211 = n0 )
= $true )
| ( ( SV211 = n1 )
= $true )
| ( ( SV211 = n2 )
= $true )
| ( ( SV211 = n3 )
= $true )
| ( ( SV211 = n4 )
= $true )
| ( ( SV211 = n5 )
= $true )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( leq @ SV211 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1606]) ).
thf(1611,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( ~ ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) ) )
= $false )
| ( ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1612,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
| ~ ( leq @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) @ SV217 ) )
| ( ( a_select2 @ SV222 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
= SV226 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1608]) ).
thf(1613,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( ~ ( ( SV214 != SV224 ) )
| ( SV219 != SV228 ) )
= $true )
| ( ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1611]) ).
thf(1614,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
| ~ ( leq @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) @ SV217 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1615,plain,
! [SV217: $i,SV226: $i,SV207: $i,SV222: $i] :
( ( ( ( a_select2 @ SV222 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
= SV226 )
= $false )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1616,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( ~ ( ( SV214 != SV224 ) ) )
= $true )
| ( ( SV219 != SV228 )
= $true )
| ( ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1613]) ).
thf(1617,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
| ~ ( leq @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) @ SV217 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1618,plain,
! [SV217: $i,SV226: $i,SV222: $i,SV207: $i] :
( ( ( leq @ n0 @ SV207 )
= $false )
| ( ( ( a_select2 @ SV222 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
= SV226 )
= $false )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1619,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( SV214 != SV224 )
= $false )
| ( ( SV219 != SV228 )
= $true )
| ( ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1620,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
| ~ ( leq @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) @ SV217 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1621,plain,
! [SV226: $i,SV222: $i,SV217: $i,SV207: $i] :
( ( ( leq @ SV207 @ SV217 )
= $false )
| ( ( ( a_select2 @ SV222 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
= SV226 )
= $false )
| ( ( leq @ n0 @ SV207 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1622,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV228: $i,SV219: $i,SV224: $i,SV214: $i] :
( ( ( SV214 = SV224 )
= $true )
| ( ( SV219 != SV228 )
= $true )
| ( ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1623,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1624,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( ~ ( leq @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) @ SV217 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1625,plain,
! [SV232: $i,SV231: $i,SV230: $i,SV224: $i,SV214: $i,SV228: $i,SV219: $i] :
( ( ( SV219 = SV228 )
= $false )
| ( ( SV214 = SV224 )
= $true )
| ( ( ( a_select3 @ SV230 @ SV224 @ SV228 )
!= SV231 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1626,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( leq @ n0 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1627,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( leq @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) @ SV217 )
= $true )
| ( ( ~ ( leq @ n0 @ SV207 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1628,plain,
! [SV232: $i,SV219: $i,SV214: $i,SV231: $i,SV228: $i,SV224: $i,SV230: $i] :
( ( ( ( a_select3 @ SV230 @ SV224 @ SV228 )
= SV231 )
= $false )
| ( ( SV214 = SV224 )
= $true )
| ( ( SV219 = SV228 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV230 @ SV214 @ SV219 @ SV232 ) @ SV224 @ SV228 )
= SV231 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1625]) ).
thf(1629,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( leq @ n0 @ SV207 )
= $false )
| ( ( leq @ n0 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1626]) ).
thf(1630,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV207: $i] :
( ( ( leq @ n0 @ SV207 )
= $false )
| ( ( leq @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) @ SV217 )
= $true )
| ( ( ~ ( leq @ SV207 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1627]) ).
thf(1631,plain,
! [SV222: $i,SV226: $i,SV217: $i,SV207: $i] :
( ( ( leq @ SV207 @ SV217 )
= $false )
| ( ( leq @ n0 @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) )
= $true )
| ( ( leq @ n0 @ SV207 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1632,plain,
! [SV222: $i,SV226: $i,SV217: $i,SV207: $i] :
( ( ( leq @ SV207 @ SV217 )
= $false )
| ( ( leq @ ( sK8_SY422 @ SV207 @ SV226 @ SV222 @ SV217 ) @ SV217 )
= $true )
| ( ( leq @ n0 @ SV207 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV207 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1633,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1458,1632,1631,1628,1621,1610,1609,1603,1600,1595,1586,1579,1545,1535,1522,1512,1498,1497,1496,1495,1494,1493,1492,1491,1490,1489,1488,1487,1486,1485,1484,1483,1482,1481,1480,1479,1472,1471,1470,1469,1468,1467,1466,1465,1464,1463,1462,1461,1460,1459]) ).
thf(1634,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(1635,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(1636,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1637,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(1638,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(1639,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1640,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1641,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1642,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1643,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1644,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1645,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1646,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1647,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1648,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1649,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1650,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1651,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1652,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1653,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1654,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1655,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(1656,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(1657,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1658,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1659,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1660,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1661,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1662,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1663,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1664,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1665,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1666,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(1667,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(1668,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(1669,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1670,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1671,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1672,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1673,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1674,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1675,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1676,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1677,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1678,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1679,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1680,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1681,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
!= use )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(1682,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1659]) ).
thf(1683,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1635]) ).
thf(1684,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1639]) ).
thf(1685,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1658]) ).
thf(1686,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1657]) ).
thf(1687,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1637]) ).
thf(1688,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1656]) ).
thf(1689,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1638]) ).
thf(1690,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1660]) ).
thf(1691,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1655]) ).
thf(1692,plain,
! [SV233: $i] :
( ( ! [SY430: $i,SY431: $i,SY432: $i] :
( ( a_select3 @ ( tptp_update3 @ SV233 @ SY430 @ SY431 @ SY432 ) @ SY430 @ SY431 )
= SY432 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(1693,plain,
! [SV234: $i] :
( ( ! [SY433: $i,SY434: $i] :
( ( a_select2 @ ( tptp_update2 @ SV234 @ SY433 @ SY434 ) @ SY433 )
= SY434 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(1694,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1695,plain,
! [SV235: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV235 )
| ~ ( leq @ SV235 @ n2 ) )
| ( SV235 = n0 )
| ( SV235 = n1 )
| ( SV235 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(1696,plain,
! [SV236: $i] :
( ( ! [SY435: $i,SY436: $i,SY437: $i,SY438: $i,SY439: $i,SY440: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV236 != SY436 ) )
| ( SY435 != SY437 ) )
| ( ( a_select3 @ SY438 @ SY436 @ SY437 )
!= SY439 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY438 @ SV236 @ SY435 @ SY440 ) @ SY436 @ SY437 )
= SY439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(1697,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1698,plain,
! [SV237: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV237 )
| ~ ( leq @ SV237 @ n1 ) )
| ( SV237 = n0 )
| ( SV237 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(1699,plain,
! [SV238: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV238 )
| ~ ( leq @ SV238 @ n0 ) )
| ( SV238 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(1700,plain,
! [SV239: $i] :
( ( ! [SY441: $i,SY442: $i,SY443: $i,SY444: $i] :
( ~ ~ ( ~ ( ( SV239 != SY441 ) )
| ( ( a_select2 @ SY442 @ SY441 )
!= SY443 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY442 @ SV239 @ SY444 ) @ SY441 )
= SY443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1687]) ).
thf(1701,plain,
! [SV240: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV240 )
| ~ ( leq @ SV240 @ n5 ) )
| ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 )
| ( SV240 = n4 )
| ( SV240 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(1702,plain,
! [SV241: $i] :
( ( ! [SY445: $i,SY446: $i,SY447: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY445 ) )
| ( ( a_select2 @ SY446 @ SX4 )
= SY447 ) )
| ~ ( leq @ n0 @ SV241 ) )
| ~ ( leq @ SV241 @ SY445 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY446 @ SY445 @ SY447 ) @ SV241 )
= SY447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(1703,plain,
! [SV242: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV242 )
| ~ ( leq @ SV242 @ n3 ) )
| ( SV242 = n0 )
| ( SV242 = n1 )
| ( SV242 = n2 )
| ( SV242 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(1704,plain,
! [SV243: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV243 )
| ~ ( leq @ SV243 @ n4 ) )
| ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 )
| ( SV243 = n3 )
| ( SV243 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(1705,plain,
! [SV244: $i,SV233: $i] :
( ( ! [SY449: $i,SY450: $i] :
( ( a_select3 @ ( tptp_update3 @ SV233 @ SV244 @ SY449 @ SY450 ) @ SV244 @ SY449 )
= SY450 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(1706,plain,
! [SV245: $i,SV234: $i] :
( ( ! [SY451: $i] :
( ( a_select2 @ ( tptp_update2 @ SV234 @ SV245 @ SY451 ) @ SV245 )
= SY451 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1693]) ).
thf(1707,plain,
! [SV235: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV235 )
| ~ ( leq @ SV235 @ n2 ) ) )
= $true )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 )
| ( SV235 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1695]) ).
thf(1708,plain,
! [SV246: $i,SV236: $i] :
( ( ! [SY452: $i,SY453: $i,SY454: $i,SY455: $i,SY456: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV236 != SY452 ) )
| ( SV246 != SY453 ) )
| ( ( a_select3 @ SY454 @ SY452 @ SY453 )
!= SY455 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY454 @ SV236 @ SV246 @ SY456 ) @ SY452 @ SY453 )
= SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1696]) ).
thf(1709,plain,
! [SV237: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV237 )
| ~ ( leq @ SV237 @ n1 ) ) )
= $true )
| ( ( ( SV237 = n0 )
| ( SV237 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1698]) ).
thf(1710,plain,
! [SV238: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV238 )
| ~ ( leq @ SV238 @ n0 ) ) )
= $true )
| ( ( SV238 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1699]) ).
thf(1711,plain,
! [SV247: $i,SV239: $i] :
( ( ! [SY457: $i,SY458: $i,SY459: $i] :
( ~ ~ ( ~ ( ( SV239 != SV247 ) )
| ( ( a_select2 @ SY457 @ SV247 )
!= SY458 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY457 @ SV239 @ SY459 ) @ SV247 )
= SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(1712,plain,
! [SV240: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV240 )
| ~ ( leq @ SV240 @ n5 ) ) )
= $true )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 )
| ( SV240 = n4 )
| ( SV240 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1701]) ).
thf(1713,plain,
! [SV241: $i,SV248: $i] :
( ( ! [SY460: $i,SY461: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY462: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY462 )
| ~ ( leq @ SY462 @ SV248 ) )
| ( ( a_select2 @ SY460 @ SY462 )
= SY461 ) )
| ~ ( leq @ n0 @ SV241 ) )
| ~ ( leq @ SV241 @ SV248 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY460 @ SV248 @ SY461 ) @ SV241 )
= SY461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1702]) ).
thf(1714,plain,
! [SV242: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV242 )
| ~ ( leq @ SV242 @ n3 ) ) )
= $true )
| ( ( ( SV242 = n0 )
| ( SV242 = n1 )
| ( SV242 = n2 )
| ( SV242 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1703]) ).
thf(1715,plain,
! [SV243: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV243 )
| ~ ( leq @ SV243 @ n4 ) ) )
= $true )
| ( ( ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 )
| ( SV243 = n3 )
| ( SV243 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1704]) ).
thf(1716,plain,
! [SV249: $i,SV244: $i,SV233: $i] :
( ( ! [SY463: $i] :
( ( a_select3 @ ( tptp_update3 @ SV233 @ SV244 @ SV249 @ SY463 ) @ SV244 @ SV249 )
= SY463 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(1717,plain,
! [SV250: $i,SV245: $i,SV234: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV234 @ SV245 @ SV250 ) @ SV245 )
= SV250 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(1718,plain,
! [SV235: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV235 )
| ~ ( leq @ SV235 @ n2 ) ) )
= $false )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 )
| ( SV235 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1719,plain,
! [SV246: $i,SV251: $i,SV236: $i] :
( ( ! [SY464: $i,SY465: $i,SY466: $i,SY467: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SY464 ) )
| ( ( a_select3 @ SY465 @ SV251 @ SY464 )
!= SY466 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY465 @ SV236 @ SV246 @ SY467 ) @ SV251 @ SY464 )
= SY466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(1720,plain,
! [SV237: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV237 )
| ~ ( leq @ SV237 @ n1 ) ) )
= $false )
| ( ( ( SV237 = n0 )
| ( SV237 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1721,plain,
! [SV238: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV238 )
| ~ ( leq @ SV238 @ n0 ) ) )
= $false )
| ( ( SV238 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1710]) ).
thf(1722,plain,
! [SV252: $i,SV247: $i,SV239: $i] :
( ( ! [SY468: $i,SY469: $i] :
( ~ ~ ( ~ ( ( SV239 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SY468 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SY469 ) @ SV247 )
= SY468 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(1723,plain,
! [SV240: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV240 )
| ~ ( leq @ SV240 @ n5 ) ) )
= $false )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 )
| ( SV240 = n4 )
| ( SV240 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1724,plain,
! [SV241: $i,SV253: $i,SV248: $i] :
( ( ! [SY470: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY471: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY471 )
| ~ ( leq @ SY471 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY471 )
= SY470 ) )
| ~ ( leq @ n0 @ SV241 ) )
| ~ ( leq @ SV241 @ SV248 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SY470 ) @ SV241 )
= SY470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1713]) ).
thf(1725,plain,
! [SV242: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV242 )
| ~ ( leq @ SV242 @ n3 ) ) )
= $false )
| ( ( ( SV242 = n0 )
| ( SV242 = n1 )
| ( SV242 = n2 )
| ( SV242 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1726,plain,
! [SV243: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV243 )
| ~ ( leq @ SV243 @ n4 ) ) )
= $false )
| ( ( ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 )
| ( SV243 = n3 )
| ( SV243 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1727,plain,
! [SV254: $i,SV249: $i,SV244: $i,SV233: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV233 @ SV244 @ SV249 @ SV254 ) @ SV244 @ SV249 )
= SV254 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1716]) ).
thf(1728,plain,
! [SV235: $i] :
( ( ( ~ ( leq @ n0 @ SV235 )
| ~ ( leq @ SV235 @ n2 ) )
= $true )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 )
| ( SV235 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1718]) ).
thf(1729,plain,
! [SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ! [SY472: $i,SY473: $i,SY474: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) )
| ( ( a_select3 @ SY472 @ SV251 @ SV255 )
!= SY473 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY472 @ SV236 @ SV246 @ SY474 ) @ SV251 @ SV255 )
= SY473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(1730,plain,
! [SV237: $i] :
( ( ( ~ ( leq @ n0 @ SV237 )
| ~ ( leq @ SV237 @ n1 ) )
= $true )
| ( ( ( SV237 = n0 )
| ( SV237 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1720]) ).
thf(1731,plain,
! [SV238: $i] :
( ( ( ~ ( leq @ n0 @ SV238 )
| ~ ( leq @ SV238 @ n0 ) )
= $true )
| ( ( SV238 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1721]) ).
thf(1732,plain,
! [SV256: $i,SV252: $i,SV247: $i,SV239: $i] :
( ( ! [SY475: $i] :
( ~ ~ ( ~ ( ( SV239 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SY475 ) @ SV247 )
= SV256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(1733,plain,
! [SV240: $i] :
( ( ( ~ ( leq @ n0 @ SV240 )
| ~ ( leq @ SV240 @ n5 ) )
= $true )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 )
| ( SV240 = n4 )
| ( SV240 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1734,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) )
| ~ ( leq @ n0 @ SV241 ) )
| ~ ( leq @ SV241 @ SV248 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1724]) ).
thf(1735,plain,
! [SV242: $i] :
( ( ( ~ ( leq @ n0 @ SV242 )
| ~ ( leq @ SV242 @ n3 ) )
= $true )
| ( ( ( SV242 = n0 )
| ( SV242 = n1 )
| ( SV242 = n2 )
| ( SV242 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1725]) ).
thf(1736,plain,
! [SV243: $i] :
( ( ( ~ ( leq @ n0 @ SV243 )
| ~ ( leq @ SV243 @ n4 ) )
= $true )
| ( ( ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 )
| ( SV243 = n3 )
| ( SV243 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1737,plain,
! [SV235: $i] :
( ( ( ~ ( leq @ n0 @ SV235 ) )
= $true )
| ( ( ~ ( leq @ SV235 @ n2 ) )
= $true )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 )
| ( SV235 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1728]) ).
thf(1738,plain,
! [SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ! [SY477: $i,SY478: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) )
| ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SY477 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SY478 ) @ SV251 @ SV255 )
= SY477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(1739,plain,
! [SV237: $i] :
( ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ n1 ) )
= $true )
| ( ( ( SV237 = n0 )
| ( SV237 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1730]) ).
thf(1740,plain,
! [SV238: $i] :
( ( ( ~ ( leq @ n0 @ SV238 ) )
= $true )
| ( ( ~ ( leq @ SV238 @ n0 ) )
= $true )
| ( ( SV238 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1731]) ).
thf(1741,plain,
! [SV259: $i,SV256: $i,SV252: $i,SV247: $i,SV239: $i] :
( ( ~ ~ ( ~ ( ( SV239 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SV259 ) @ SV247 )
= SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1732]) ).
thf(1742,plain,
! [SV240: $i] :
( ( ( ~ ( leq @ n0 @ SV240 ) )
= $true )
| ( ( ~ ( leq @ SV240 @ n5 ) )
= $true )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 )
| ( SV240 = n4 )
| ( SV240 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1733]) ).
thf(1743,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) )
| ~ ( leq @ n0 @ SV241 ) )
| ~ ( leq @ SV241 @ SV248 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1734]) ).
thf(1744,plain,
! [SV242: $i] :
( ( ( ~ ( leq @ n0 @ SV242 ) )
= $true )
| ( ( ~ ( leq @ SV242 @ n3 ) )
= $true )
| ( ( ( SV242 = n0 )
| ( SV242 = n1 )
| ( SV242 = n2 )
| ( SV242 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1735]) ).
thf(1745,plain,
! [SV243: $i] :
( ( ( ~ ( leq @ n0 @ SV243 ) )
= $true )
| ( ( ~ ( leq @ SV243 @ n4 ) )
= $true )
| ( ( ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 )
| ( SV243 = n3 )
| ( SV243 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1736]) ).
thf(1746,plain,
! [SV235: $i] :
( ( ( leq @ n0 @ SV235 )
= $false )
| ( ( ~ ( leq @ SV235 @ n2 ) )
= $true )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 )
| ( SV235 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1747,plain,
! [SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ! [SY479: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) )
| ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SY479 ) @ SV251 @ SV255 )
= SV260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(1748,plain,
! [SV237: $i] :
( ( ( leq @ n0 @ SV237 )
= $false )
| ( ( ~ ( leq @ SV237 @ n1 ) )
= $true )
| ( ( ( SV237 = n0 )
| ( SV237 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1749,plain,
! [SV238: $i] :
( ( ( leq @ n0 @ SV238 )
= $false )
| ( ( ~ ( leq @ SV238 @ n0 ) )
= $true )
| ( ( SV238 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1750,plain,
! [SV259: $i,SV256: $i,SV252: $i,SV247: $i,SV239: $i] :
( ( ( ~ ~ ( ~ ( ( SV239 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SV259 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1741]) ).
thf(1751,plain,
! [SV240: $i] :
( ( ( leq @ n0 @ SV240 )
= $false )
| ( ( ~ ( leq @ SV240 @ n5 ) )
= $true )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 )
| ( SV240 = n4 )
| ( SV240 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1752,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) )
| ~ ( leq @ n0 @ SV241 ) )
| ~ ( leq @ SV241 @ SV248 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1753,plain,
! [SV242: $i] :
( ( ( leq @ n0 @ SV242 )
= $false )
| ( ( ~ ( leq @ SV242 @ n3 ) )
= $true )
| ( ( ( SV242 = n0 )
| ( SV242 = n1 )
| ( SV242 = n2 )
| ( SV242 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1754,plain,
! [SV243: $i] :
( ( ( leq @ n0 @ SV243 )
= $false )
| ( ( ~ ( leq @ SV243 @ n4 ) )
= $true )
| ( ( ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 )
| ( SV243 = n3 )
| ( SV243 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1755,plain,
! [SV235: $i] :
( ( ( leq @ SV235 @ n2 )
= $false )
| ( ( leq @ n0 @ SV235 )
= $false )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 )
| ( SV235 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1756,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) )
| ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(1757,plain,
! [SV237: $i] :
( ( ( leq @ SV237 @ n1 )
= $false )
| ( ( leq @ n0 @ SV237 )
= $false )
| ( ( ( SV237 = n0 )
| ( SV237 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1758,plain,
! [SV238: $i] :
( ( ( leq @ SV238 @ n0 )
= $false )
| ( ( leq @ n0 @ SV238 )
= $false )
| ( ( SV238 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1749]) ).
thf(1759,plain,
! [SV259: $i,SV256: $i,SV252: $i,SV247: $i,SV239: $i] :
( ( ( ~ ( ~ ( ( SV239 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SV259 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1760,plain,
! [SV240: $i] :
( ( ( leq @ SV240 @ n5 )
= $false )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 )
| ( SV240 = n4 )
| ( SV240 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(1761,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ( ~ ~ ( ~ ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) )
| ~ ( leq @ n0 @ SV241 ) )
| ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1752]) ).
thf(1762,plain,
! [SV242: $i] :
( ( ( leq @ SV242 @ n3 )
= $false )
| ( ( leq @ n0 @ SV242 )
= $false )
| ( ( ( SV242 = n0 )
| ( SV242 = n1 )
| ( SV242 = n2 )
| ( SV242 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(1763,plain,
! [SV243: $i] :
( ( ( leq @ SV243 @ n4 )
= $false )
| ( ( leq @ n0 @ SV243 )
= $false )
| ( ( ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 )
| ( SV243 = n3 )
| ( SV243 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(1764,plain,
! [SV235: $i] :
( ( ( ( SV235 = n0 )
| ( SV235 = n1 ) )
= $true )
| ( ( SV235 = n2 )
= $true )
| ( ( leq @ n0 @ SV235 )
= $false )
| ( ( leq @ SV235 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1755]) ).
thf(1765,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) )
| ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1766,plain,
! [SV237: $i] :
( ( ( SV237 = n0 )
= $true )
| ( ( SV237 = n1 )
= $true )
| ( ( leq @ n0 @ SV237 )
= $false )
| ( ( leq @ SV237 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1757]) ).
thf(1767,plain,
! [SV259: $i,SV256: $i,SV252: $i,SV247: $i,SV239: $i] :
( ( ( ~ ( ( SV239 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SV259 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1768,plain,
! [SV240: $i] :
( ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 )
| ( SV240 = n4 ) )
= $true )
| ( ( SV240 = n5 )
= $true )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( leq @ SV240 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1760]) ).
thf(1769,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ( ~ ~ ( ~ ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) )
| ~ ( leq @ n0 @ SV241 ) ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1761]) ).
thf(1770,plain,
! [SV242: $i] :
( ( ( ( SV242 = n0 )
| ( SV242 = n1 )
| ( SV242 = n2 ) )
= $true )
| ( ( SV242 = n3 )
= $true )
| ( ( leq @ n0 @ SV242 )
= $false )
| ( ( leq @ SV242 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1762]) ).
thf(1771,plain,
! [SV243: $i] :
( ( ( ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 )
| ( SV243 = n3 ) )
= $true )
| ( ( SV243 = n4 )
= $true )
| ( ( leq @ n0 @ SV243 )
= $false )
| ( ( leq @ SV243 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(1772,plain,
! [SV235: $i] :
( ( ( SV235 = n0 )
= $true )
| ( ( SV235 = n1 )
= $true )
| ( ( SV235 = n2 )
= $true )
| ( ( leq @ n0 @ SV235 )
= $false )
| ( ( leq @ SV235 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1764]) ).
thf(1773,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) )
| ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1765]) ).
thf(1774,plain,
! [SV259: $i,SV256: $i,SV252: $i,SV247: $i,SV239: $i] :
( ( ( ~ ( ( SV239 != SV247 ) ) )
= $true )
| ( ( ( a_select2 @ SV252 @ SV247 )
!= SV256 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SV259 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1767]) ).
thf(1775,plain,
! [SV240: $i] :
( ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 )
| ( SV240 = n3 ) )
= $true )
| ( ( SV240 = n4 )
= $true )
| ( ( SV240 = n5 )
= $true )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( leq @ SV240 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1768]) ).
thf(1776,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ( ~ ( ~ ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) )
| ~ ( leq @ n0 @ SV241 ) ) )
= $false )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1777,plain,
! [SV242: $i] :
( ( ( ( SV242 = n0 )
| ( SV242 = n1 ) )
= $true )
| ( ( SV242 = n2 )
= $true )
| ( ( SV242 = n3 )
= $true )
| ( ( leq @ n0 @ SV242 )
= $false )
| ( ( leq @ SV242 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(1778,plain,
! [SV243: $i] :
( ( ( ( SV243 = n0 )
| ( SV243 = n1 )
| ( SV243 = n2 ) )
= $true )
| ( ( SV243 = n3 )
= $true )
| ( ( SV243 = n4 )
= $true )
| ( ( leq @ n0 @ SV243 )
= $false )
| ( ( leq @ SV243 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1771]) ).
thf(1779,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) )
| ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1780,plain,
! [SV259: $i,SV256: $i,SV252: $i,SV247: $i,SV239: $i] :
( ( ( SV239 != SV247 )
= $false )
| ( ( ( a_select2 @ SV252 @ SV247 )
!= SV256 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SV259 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1781,plain,
! [SV240: $i] :
( ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 ) )
= $true )
| ( ( SV240 = n3 )
= $true )
| ( ( SV240 = n4 )
= $true )
| ( ( SV240 = n5 )
= $true )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( leq @ SV240 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1775]) ).
thf(1782,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ( ~ ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) )
| ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1783,plain,
! [SV242: $i] :
( ( ( SV242 = n0 )
= $true )
| ( ( SV242 = n1 )
= $true )
| ( ( SV242 = n2 )
= $true )
| ( ( SV242 = n3 )
= $true )
| ( ( leq @ n0 @ SV242 )
= $false )
| ( ( leq @ SV242 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1777]) ).
thf(1784,plain,
! [SV243: $i] :
( ( ( ( SV243 = n0 )
| ( SV243 = n1 ) )
= $true )
| ( ( SV243 = n2 )
= $true )
| ( ( SV243 = n3 )
= $true )
| ( ( SV243 = n4 )
= $true )
| ( ( leq @ n0 @ SV243 )
= $false )
| ( ( leq @ SV243 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1778]) ).
thf(1785,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( ~ ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) ) )
= $true )
| ( ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1779]) ).
thf(1786,plain,
! [SV259: $i,SV256: $i,SV252: $i,SV247: $i,SV239: $i] :
( ( ( SV239 = SV247 )
= $true )
| ( ( ( a_select2 @ SV252 @ SV247 )
!= SV256 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SV259 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1787,plain,
! [SV240: $i] :
( ( ( ( SV240 = n0 )
| ( SV240 = n1 ) )
= $true )
| ( ( SV240 = n2 )
= $true )
| ( ( SV240 = n3 )
= $true )
| ( ( SV240 = n4 )
= $true )
| ( ( SV240 = n5 )
= $true )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( leq @ SV240 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1781]) ).
thf(1788,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ( ~ ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1782]) ).
thf(1789,plain,
! [SV243: $i] :
( ( ( SV243 = n0 )
= $true )
| ( ( SV243 = n1 )
= $true )
| ( ( SV243 = n2 )
= $true )
| ( ( SV243 = n3 )
= $true )
| ( ( SV243 = n4 )
= $true )
| ( ( leq @ n0 @ SV243 )
= $false )
| ( ( leq @ SV243 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1784]) ).
thf(1790,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( ~ ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) ) )
= $false )
| ( ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1791,plain,
! [SV259: $i,SV239: $i,SV256: $i,SV247: $i,SV252: $i] :
( ( ( ( a_select2 @ SV252 @ SV247 )
= SV256 )
= $false )
| ( ( SV239 = SV247 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV239 @ SV259 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1792,plain,
! [SV240: $i] :
( ( ( SV240 = n0 )
= $true )
| ( ( SV240 = n1 )
= $true )
| ( ( SV240 = n2 )
= $true )
| ( ( SV240 = n3 )
= $true )
| ( ( SV240 = n4 )
= $true )
| ( ( SV240 = n5 )
= $true )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( leq @ SV240 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1787]) ).
thf(1793,plain,
! [SV241: $i,SV257: $i,SV253: $i,SV248: $i] :
( ( ( ! [SY476: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY476 )
| ~ ( leq @ SY476 @ SV248 ) )
| ( ( a_select2 @ SV253 @ SY476 )
= SV257 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1794,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( ~ ( ( SV236 != SV251 ) )
| ( SV246 != SV255 ) )
= $true )
| ( ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1795,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
| ~ ( leq @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) @ SV248 ) )
| ( ( a_select2 @ SV253 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
= SV257 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1793]) ).
thf(1796,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( ~ ( ( SV236 != SV251 ) ) )
= $true )
| ( ( SV246 != SV255 )
= $true )
| ( ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1794]) ).
thf(1797,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
| ~ ( leq @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) @ SV248 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1795]) ).
thf(1798,plain,
! [SV248: $i,SV257: $i,SV241: $i,SV253: $i] :
( ( ( ( a_select2 @ SV253 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
= SV257 )
= $false )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1795]) ).
thf(1799,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( SV236 != SV251 )
= $false )
| ( ( SV246 != SV255 )
= $true )
| ( ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1796]) ).
thf(1800,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
| ~ ( leq @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) @ SV248 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1801,plain,
! [SV248: $i,SV257: $i,SV253: $i,SV241: $i] :
( ( ( leq @ n0 @ SV241 )
= $false )
| ( ( ( a_select2 @ SV253 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
= SV257 )
= $false )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1802,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV255: $i,SV246: $i,SV251: $i,SV236: $i] :
( ( ( SV236 = SV251 )
= $true )
| ( ( SV246 != SV255 )
= $true )
| ( ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1799]) ).
thf(1803,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( ~ ( leq @ n0 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
| ~ ( leq @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) @ SV248 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1800]) ).
thf(1804,plain,
! [SV257: $i,SV253: $i,SV248: $i,SV241: $i] :
( ( ( leq @ SV241 @ SV248 )
= $false )
| ( ( ( a_select2 @ SV253 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
= SV257 )
= $false )
| ( ( leq @ n0 @ SV241 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1801]) ).
thf(1805,plain,
! [SV261: $i,SV260: $i,SV258: $i,SV251: $i,SV236: $i,SV255: $i,SV246: $i] :
( ( ( SV246 = SV255 )
= $false )
| ( ( SV236 = SV251 )
= $true )
| ( ( ( a_select3 @ SV258 @ SV251 @ SV255 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1802]) ).
thf(1806,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( ~ ( leq @ n0 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1803]) ).
thf(1807,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( ~ ( leq @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) @ SV248 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1803]) ).
thf(1808,plain,
! [SV261: $i,SV246: $i,SV236: $i,SV260: $i,SV255: $i,SV251: $i,SV258: $i] :
( ( ( ( a_select3 @ SV258 @ SV251 @ SV255 )
= SV260 )
= $false )
| ( ( SV236 = SV251 )
= $true )
| ( ( SV246 = SV255 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV258 @ SV236 @ SV246 @ SV261 ) @ SV251 @ SV255 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1809,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( leq @ n0 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1806]) ).
thf(1810,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( leq @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) @ SV248 )
= $true )
| ( ( ~ ( leq @ n0 @ SV241 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1807]) ).
thf(1811,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( leq @ n0 @ SV241 )
= $false )
| ( ( leq @ n0 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(1812,plain,
! [SV248: $i,SV253: $i,SV257: $i,SV241: $i] :
( ( ( leq @ n0 @ SV241 )
= $false )
| ( ( leq @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) @ SV248 )
= $true )
| ( ( ~ ( leq @ SV241 @ SV248 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1813,plain,
! [SV253: $i,SV257: $i,SV248: $i,SV241: $i] :
( ( ( leq @ SV241 @ SV248 )
= $false )
| ( ( leq @ n0 @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) )
= $true )
| ( ( leq @ n0 @ SV241 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1814,plain,
! [SV253: $i,SV257: $i,SV248: $i,SV241: $i] :
( ( ( leq @ SV241 @ SV248 )
= $false )
| ( ( leq @ ( sK9_SY476 @ SV241 @ SV257 @ SV253 @ SV248 ) @ SV248 )
= $true )
| ( ( leq @ n0 @ SV241 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV253 @ SV248 @ SV257 ) @ SV241 )
= SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1815,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1640,1814,1813,1808,1804,1792,1791,1789,1783,1772,1766,1758,1727,1717,1697,1694,1680,1679,1678,1677,1676,1675,1674,1673,1672,1671,1670,1669,1668,1667,1666,1665,1664,1663,1662,1661,1654,1653,1652,1651,1650,1649,1648,1647,1646,1645,1644,1643,1642,1641]) ).
thf(1816,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(1817,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(1818,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1819,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(1820,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(1821,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1822,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1823,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1824,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1825,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1826,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1827,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1828,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1829,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1830,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1831,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1832,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1833,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1834,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1835,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1836,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1837,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(1838,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(1839,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1840,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1841,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1842,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1843,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1844,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1845,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1846,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1847,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1848,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(1849,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(1850,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(1851,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1852,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1853,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1854,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1855,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1856,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1857,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1858,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1859,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1860,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1861,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1862,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1863,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(1864,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1839]) ).
thf(1865,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1819]) ).
thf(1866,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1821]) ).
thf(1867,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1841]) ).
thf(1868,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1840]) ).
thf(1869,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1837]) ).
thf(1870,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1842]) ).
thf(1871,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1817]) ).
thf(1872,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1820]) ).
thf(1873,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1838]) ).
thf(1874,plain,
! [SV262: $i] :
( ( ! [SY480: $i,SY481: $i,SY482: $i] :
( ( a_select3 @ ( tptp_update3 @ SV262 @ SY480 @ SY481 @ SY482 ) @ SY480 @ SY481 )
= SY482 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1816]) ).
thf(1875,plain,
! [SV263: $i] :
( ( ! [SY483: $i,SY484: $i] :
( ( a_select2 @ ( tptp_update2 @ SV263 @ SY483 @ SY484 ) @ SY483 )
= SY484 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(1876,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(1877,plain,
! [SV264: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV264 )
| ~ ( leq @ SV264 @ n0 ) )
| ( SV264 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1864]) ).
thf(1878,plain,
! [SV265: $i] :
( ( ! [SY485: $i,SY486: $i,SY487: $i,SY488: $i] :
( ~ ~ ( ~ ( ( SV265 != SY485 ) )
| ( ( a_select2 @ SY486 @ SY485 )
!= SY487 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY486 @ SV265 @ SY488 ) @ SY485 )
= SY487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(1879,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(1880,plain,
! [SV266: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV266 )
| ~ ( leq @ SV266 @ n2 ) )
| ( SV266 = n0 )
| ( SV266 = n1 )
| ( SV266 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1867]) ).
thf(1881,plain,
! [SV267: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV267 )
| ~ ( leq @ SV267 @ n1 ) )
| ( SV267 = n0 )
| ( SV267 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1868]) ).
thf(1882,plain,
! [SV268: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV268 )
| ~ ( leq @ SV268 @ n4 ) )
| ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 )
| ( SV268 = n3 )
| ( SV268 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(1883,plain,
! [SV269: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV269 )
| ~ ( leq @ SV269 @ n3 ) )
| ( SV269 = n0 )
| ( SV269 = n1 )
| ( SV269 = n2 )
| ( SV269 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1870]) ).
thf(1884,plain,
! [SV270: $i] :
( ( ! [SY489: $i,SY490: $i,SY491: $i,SY492: $i,SY493: $i,SY494: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV270 != SY490 ) )
| ( SY489 != SY491 ) )
| ( ( a_select3 @ SY492 @ SY490 @ SY491 )
!= SY493 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY492 @ SV270 @ SY489 @ SY494 ) @ SY490 @ SY491 )
= SY493 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1871]) ).
thf(1885,plain,
! [SV271: $i] :
( ( ! [SY495: $i,SY496: $i,SY497: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY495 ) )
| ( ( a_select2 @ SY496 @ SX4 )
= SY497 ) )
| ~ ( leq @ n0 @ SV271 ) )
| ~ ( leq @ SV271 @ SY495 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY496 @ SY495 @ SY497 ) @ SV271 )
= SY497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(1886,plain,
! [SV272: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV272 )
| ~ ( leq @ SV272 @ n5 ) )
| ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 )
| ( SV272 = n4 )
| ( SV272 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(1887,plain,
! [SV273: $i,SV262: $i] :
( ( ! [SY499: $i,SY500: $i] :
( ( a_select3 @ ( tptp_update3 @ SV262 @ SV273 @ SY499 @ SY500 ) @ SV273 @ SY499 )
= SY500 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1874]) ).
thf(1888,plain,
! [SV274: $i,SV263: $i] :
( ( ! [SY501: $i] :
( ( a_select2 @ ( tptp_update2 @ SV263 @ SV274 @ SY501 ) @ SV274 )
= SY501 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1875]) ).
thf(1889,plain,
! [SV264: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV264 )
| ~ ( leq @ SV264 @ n0 ) ) )
= $true )
| ( ( SV264 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1877]) ).
thf(1890,plain,
! [SV275: $i,SV265: $i] :
( ( ! [SY502: $i,SY503: $i,SY504: $i] :
( ~ ~ ( ~ ( ( SV265 != SV275 ) )
| ( ( a_select2 @ SY502 @ SV275 )
!= SY503 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY502 @ SV265 @ SY504 ) @ SV275 )
= SY503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1878]) ).
thf(1891,plain,
! [SV266: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV266 )
| ~ ( leq @ SV266 @ n2 ) ) )
= $true )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 )
| ( SV266 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1880]) ).
thf(1892,plain,
! [SV267: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV267 )
| ~ ( leq @ SV267 @ n1 ) ) )
= $true )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1881]) ).
thf(1893,plain,
! [SV268: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV268 )
| ~ ( leq @ SV268 @ n4 ) ) )
= $true )
| ( ( ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 )
| ( SV268 = n3 )
| ( SV268 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1882]) ).
thf(1894,plain,
! [SV269: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV269 )
| ~ ( leq @ SV269 @ n3 ) ) )
= $true )
| ( ( ( SV269 = n0 )
| ( SV269 = n1 )
| ( SV269 = n2 )
| ( SV269 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1883]) ).
thf(1895,plain,
! [SV276: $i,SV270: $i] :
( ( ! [SY505: $i,SY506: $i,SY507: $i,SY508: $i,SY509: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV270 != SY505 ) )
| ( SV276 != SY506 ) )
| ( ( a_select3 @ SY507 @ SY505 @ SY506 )
!= SY508 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY507 @ SV270 @ SV276 @ SY509 ) @ SY505 @ SY506 )
= SY508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1884]) ).
thf(1896,plain,
! [SV271: $i,SV277: $i] :
( ( ! [SY510: $i,SY511: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY512: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY512 )
| ~ ( leq @ SY512 @ SV277 ) )
| ( ( a_select2 @ SY510 @ SY512 )
= SY511 ) )
| ~ ( leq @ n0 @ SV271 ) )
| ~ ( leq @ SV271 @ SV277 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY510 @ SV277 @ SY511 ) @ SV271 )
= SY511 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1885]) ).
thf(1897,plain,
! [SV272: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV272 )
| ~ ( leq @ SV272 @ n5 ) ) )
= $true )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 )
| ( SV272 = n4 )
| ( SV272 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1886]) ).
thf(1898,plain,
! [SV278: $i,SV273: $i,SV262: $i] :
( ( ! [SY513: $i] :
( ( a_select3 @ ( tptp_update3 @ SV262 @ SV273 @ SV278 @ SY513 ) @ SV273 @ SV278 )
= SY513 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(1899,plain,
! [SV279: $i,SV274: $i,SV263: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV263 @ SV274 @ SV279 ) @ SV274 )
= SV279 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(1900,plain,
! [SV264: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV264 )
| ~ ( leq @ SV264 @ n0 ) ) )
= $false )
| ( ( SV264 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(1901,plain,
! [SV280: $i,SV275: $i,SV265: $i] :
( ( ! [SY514: $i,SY515: $i] :
( ~ ~ ( ~ ( ( SV265 != SV275 ) )
| ( ( a_select2 @ SV280 @ SV275 )
!= SY514 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SY515 ) @ SV275 )
= SY514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1890]) ).
thf(1902,plain,
! [SV266: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV266 )
| ~ ( leq @ SV266 @ n2 ) ) )
= $false )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 )
| ( SV266 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1891]) ).
thf(1903,plain,
! [SV267: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV267 )
| ~ ( leq @ SV267 @ n1 ) ) )
= $false )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1892]) ).
thf(1904,plain,
! [SV268: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV268 )
| ~ ( leq @ SV268 @ n4 ) ) )
= $false )
| ( ( ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 )
| ( SV268 = n3 )
| ( SV268 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1893]) ).
thf(1905,plain,
! [SV269: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV269 )
| ~ ( leq @ SV269 @ n3 ) ) )
= $false )
| ( ( ( SV269 = n0 )
| ( SV269 = n1 )
| ( SV269 = n2 )
| ( SV269 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(1906,plain,
! [SV276: $i,SV281: $i,SV270: $i] :
( ( ! [SY516: $i,SY517: $i,SY518: $i,SY519: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SY516 ) )
| ( ( a_select3 @ SY517 @ SV281 @ SY516 )
!= SY518 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY517 @ SV270 @ SV276 @ SY519 ) @ SV281 @ SY516 )
= SY518 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(1907,plain,
! [SV271: $i,SV282: $i,SV277: $i] :
( ( ! [SY520: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY521: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY521 )
| ~ ( leq @ SY521 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY521 )
= SY520 ) )
| ~ ( leq @ n0 @ SV271 ) )
| ~ ( leq @ SV271 @ SV277 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SY520 ) @ SV271 )
= SY520 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1896]) ).
thf(1908,plain,
! [SV272: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV272 )
| ~ ( leq @ SV272 @ n5 ) ) )
= $false )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 )
| ( SV272 = n4 )
| ( SV272 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(1909,plain,
! [SV283: $i,SV278: $i,SV273: $i,SV262: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV262 @ SV273 @ SV278 @ SV283 ) @ SV273 @ SV278 )
= SV283 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(1910,plain,
! [SV264: $i] :
( ( ( ~ ( leq @ n0 @ SV264 )
| ~ ( leq @ SV264 @ n0 ) )
= $true )
| ( ( SV264 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(1911,plain,
! [SV284: $i,SV280: $i,SV275: $i,SV265: $i] :
( ( ! [SY522: $i] :
( ~ ~ ( ~ ( ( SV265 != SV275 ) )
| ( ( a_select2 @ SV280 @ SV275 )
!= SV284 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SY522 ) @ SV275 )
= SV284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1901]) ).
thf(1912,plain,
! [SV266: $i] :
( ( ( ~ ( leq @ n0 @ SV266 )
| ~ ( leq @ SV266 @ n2 ) )
= $true )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 )
| ( SV266 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1902]) ).
thf(1913,plain,
! [SV267: $i] :
( ( ( ~ ( leq @ n0 @ SV267 )
| ~ ( leq @ SV267 @ n1 ) )
= $true )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1903]) ).
thf(1914,plain,
! [SV268: $i] :
( ( ( ~ ( leq @ n0 @ SV268 )
| ~ ( leq @ SV268 @ n4 ) )
= $true )
| ( ( ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 )
| ( SV268 = n3 )
| ( SV268 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(1915,plain,
! [SV269: $i] :
( ( ( ~ ( leq @ n0 @ SV269 )
| ~ ( leq @ SV269 @ n3 ) )
= $true )
| ( ( ( SV269 = n0 )
| ( SV269 = n1 )
| ( SV269 = n2 )
| ( SV269 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1905]) ).
thf(1916,plain,
! [SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ! [SY523: $i,SY524: $i,SY525: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) )
| ( ( a_select3 @ SY523 @ SV281 @ SV285 )
!= SY524 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY523 @ SV270 @ SV276 @ SY525 ) @ SV281 @ SV285 )
= SY524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1906]) ).
thf(1917,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) )
| ~ ( leq @ n0 @ SV271 ) )
| ~ ( leq @ SV271 @ SV277 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1907]) ).
thf(1918,plain,
! [SV272: $i] :
( ( ( ~ ( leq @ n0 @ SV272 )
| ~ ( leq @ SV272 @ n5 ) )
= $true )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 )
| ( SV272 = n4 )
| ( SV272 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1908]) ).
thf(1919,plain,
! [SV264: $i] :
( ( ( ~ ( leq @ n0 @ SV264 ) )
= $true )
| ( ( ~ ( leq @ SV264 @ n0 ) )
= $true )
| ( ( SV264 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1910]) ).
thf(1920,plain,
! [SV287: $i,SV284: $i,SV280: $i,SV275: $i,SV265: $i] :
( ( ~ ~ ( ~ ( ( SV265 != SV275 ) )
| ( ( a_select2 @ SV280 @ SV275 )
!= SV284 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SV287 ) @ SV275 )
= SV284 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(1921,plain,
! [SV266: $i] :
( ( ( ~ ( leq @ n0 @ SV266 ) )
= $true )
| ( ( ~ ( leq @ SV266 @ n2 ) )
= $true )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 )
| ( SV266 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1912]) ).
thf(1922,plain,
! [SV267: $i] :
( ( ( ~ ( leq @ n0 @ SV267 ) )
= $true )
| ( ( ~ ( leq @ SV267 @ n1 ) )
= $true )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1913]) ).
thf(1923,plain,
! [SV268: $i] :
( ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ n4 ) )
= $true )
| ( ( ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 )
| ( SV268 = n3 )
| ( SV268 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1914]) ).
thf(1924,plain,
! [SV269: $i] :
( ( ( ~ ( leq @ n0 @ SV269 ) )
= $true )
| ( ( ~ ( leq @ SV269 @ n3 ) )
= $true )
| ( ( ( SV269 = n0 )
| ( SV269 = n1 )
| ( SV269 = n2 )
| ( SV269 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1915]) ).
thf(1925,plain,
! [SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ! [SY527: $i,SY528: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) )
| ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SY527 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SY528 ) @ SV281 @ SV285 )
= SY527 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1916]) ).
thf(1926,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) )
| ~ ( leq @ n0 @ SV271 ) )
| ~ ( leq @ SV271 @ SV277 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1917]) ).
thf(1927,plain,
! [SV272: $i] :
( ( ( ~ ( leq @ n0 @ SV272 ) )
= $true )
| ( ( ~ ( leq @ SV272 @ n5 ) )
= $true )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 )
| ( SV272 = n4 )
| ( SV272 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1918]) ).
thf(1928,plain,
! [SV264: $i] :
( ( ( leq @ n0 @ SV264 )
= $false )
| ( ( ~ ( leq @ SV264 @ n0 ) )
= $true )
| ( ( SV264 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1919]) ).
thf(1929,plain,
! [SV287: $i,SV284: $i,SV280: $i,SV275: $i,SV265: $i] :
( ( ( ~ ~ ( ~ ( ( SV265 != SV275 ) )
| ( ( a_select2 @ SV280 @ SV275 )
!= SV284 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SV287 ) @ SV275 )
= SV284 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1920]) ).
thf(1930,plain,
! [SV266: $i] :
( ( ( leq @ n0 @ SV266 )
= $false )
| ( ( ~ ( leq @ SV266 @ n2 ) )
= $true )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 )
| ( SV266 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(1931,plain,
! [SV267: $i] :
( ( ( leq @ n0 @ SV267 )
= $false )
| ( ( ~ ( leq @ SV267 @ n1 ) )
= $true )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(1932,plain,
! [SV268: $i] :
( ( ( leq @ n0 @ SV268 )
= $false )
| ( ( ~ ( leq @ SV268 @ n4 ) )
= $true )
| ( ( ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 )
| ( SV268 = n3 )
| ( SV268 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1923]) ).
thf(1933,plain,
! [SV269: $i] :
( ( ( leq @ n0 @ SV269 )
= $false )
| ( ( ~ ( leq @ SV269 @ n3 ) )
= $true )
| ( ( ( SV269 = n0 )
| ( SV269 = n1 )
| ( SV269 = n2 )
| ( SV269 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(1934,plain,
! [SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ! [SY529: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) )
| ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SY529 ) @ SV281 @ SV285 )
= SV289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1925]) ).
thf(1935,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) )
| ~ ( leq @ n0 @ SV271 ) )
| ~ ( leq @ SV271 @ SV277 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1926]) ).
thf(1936,plain,
! [SV272: $i] :
( ( ( leq @ n0 @ SV272 )
= $false )
| ( ( ~ ( leq @ SV272 @ n5 ) )
= $true )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 )
| ( SV272 = n4 )
| ( SV272 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1927]) ).
thf(1937,plain,
! [SV264: $i] :
( ( ( leq @ SV264 @ n0 )
= $false )
| ( ( leq @ n0 @ SV264 )
= $false )
| ( ( SV264 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1928]) ).
thf(1938,plain,
! [SV287: $i,SV284: $i,SV280: $i,SV275: $i,SV265: $i] :
( ( ( ~ ( ~ ( ( SV265 != SV275 ) )
| ( ( a_select2 @ SV280 @ SV275 )
!= SV284 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SV287 ) @ SV275 )
= SV284 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(1939,plain,
! [SV266: $i] :
( ( ( leq @ SV266 @ n2 )
= $false )
| ( ( leq @ n0 @ SV266 )
= $false )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 )
| ( SV266 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1930]) ).
thf(1940,plain,
! [SV267: $i] :
( ( ( leq @ SV267 @ n1 )
= $false )
| ( ( leq @ n0 @ SV267 )
= $false )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(1941,plain,
! [SV268: $i] :
( ( ( leq @ SV268 @ n4 )
= $false )
| ( ( leq @ n0 @ SV268 )
= $false )
| ( ( ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 )
| ( SV268 = n3 )
| ( SV268 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1932]) ).
thf(1942,plain,
! [SV269: $i] :
( ( ( leq @ SV269 @ n3 )
= $false )
| ( ( leq @ n0 @ SV269 )
= $false )
| ( ( ( SV269 = n0 )
| ( SV269 = n1 )
| ( SV269 = n2 )
| ( SV269 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1933]) ).
thf(1943,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) )
| ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1934]) ).
thf(1944,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) )
| ~ ( leq @ n0 @ SV271 ) )
| ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(1945,plain,
! [SV272: $i] :
( ( ( leq @ SV272 @ n5 )
= $false )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 )
| ( SV272 = n4 )
| ( SV272 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1936]) ).
thf(1946,plain,
! [SV287: $i,SV284: $i,SV280: $i,SV275: $i,SV265: $i] :
( ( ( ~ ( ( SV265 != SV275 ) )
| ( ( a_select2 @ SV280 @ SV275 )
!= SV284 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SV287 ) @ SV275 )
= SV284 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1938]) ).
thf(1947,plain,
! [SV266: $i] :
( ( ( ( SV266 = n0 )
| ( SV266 = n1 ) )
= $true )
| ( ( SV266 = n2 )
= $true )
| ( ( leq @ n0 @ SV266 )
= $false )
| ( ( leq @ SV266 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1939]) ).
thf(1948,plain,
! [SV267: $i] :
( ( ( SV267 = n0 )
= $true )
| ( ( SV267 = n1 )
= $true )
| ( ( leq @ n0 @ SV267 )
= $false )
| ( ( leq @ SV267 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1940]) ).
thf(1949,plain,
! [SV268: $i] :
( ( ( ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 )
| ( SV268 = n3 ) )
= $true )
| ( ( SV268 = n4 )
= $true )
| ( ( leq @ n0 @ SV268 )
= $false )
| ( ( leq @ SV268 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1941]) ).
thf(1950,plain,
! [SV269: $i] :
( ( ( ( SV269 = n0 )
| ( SV269 = n1 )
| ( SV269 = n2 ) )
= $true )
| ( ( SV269 = n3 )
= $true )
| ( ( leq @ n0 @ SV269 )
= $false )
| ( ( leq @ SV269 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1942]) ).
thf(1951,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) )
| ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1943]) ).
thf(1952,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) )
| ~ ( leq @ n0 @ SV271 ) ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1944]) ).
thf(1953,plain,
! [SV272: $i] :
( ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 )
| ( SV272 = n4 ) )
= $true )
| ( ( SV272 = n5 )
= $true )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( leq @ SV272 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1945]) ).
thf(1954,plain,
! [SV287: $i,SV284: $i,SV280: $i,SV275: $i,SV265: $i] :
( ( ( ~ ( ( SV265 != SV275 ) ) )
= $true )
| ( ( ( a_select2 @ SV280 @ SV275 )
!= SV284 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SV287 ) @ SV275 )
= SV284 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1946]) ).
thf(1955,plain,
! [SV266: $i] :
( ( ( SV266 = n0 )
= $true )
| ( ( SV266 = n1 )
= $true )
| ( ( SV266 = n2 )
= $true )
| ( ( leq @ n0 @ SV266 )
= $false )
| ( ( leq @ SV266 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1947]) ).
thf(1956,plain,
! [SV268: $i] :
( ( ( ( SV268 = n0 )
| ( SV268 = n1 )
| ( SV268 = n2 ) )
= $true )
| ( ( SV268 = n3 )
= $true )
| ( ( SV268 = n4 )
= $true )
| ( ( leq @ n0 @ SV268 )
= $false )
| ( ( leq @ SV268 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1949]) ).
thf(1957,plain,
! [SV269: $i] :
( ( ( ( SV269 = n0 )
| ( SV269 = n1 ) )
= $true )
| ( ( SV269 = n2 )
= $true )
| ( ( SV269 = n3 )
= $true )
| ( ( leq @ n0 @ SV269 )
= $false )
| ( ( leq @ SV269 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1950]) ).
thf(1958,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) )
| ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1951]) ).
thf(1959,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ( ~ ( ~ ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) )
| ~ ( leq @ n0 @ SV271 ) ) )
= $false )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1952]) ).
thf(1960,plain,
! [SV272: $i] :
( ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 ) )
= $true )
| ( ( SV272 = n4 )
= $true )
| ( ( SV272 = n5 )
= $true )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( leq @ SV272 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1953]) ).
thf(1961,plain,
! [SV287: $i,SV284: $i,SV280: $i,SV275: $i,SV265: $i] :
( ( ( SV265 != SV275 )
= $false )
| ( ( ( a_select2 @ SV280 @ SV275 )
!= SV284 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SV287 ) @ SV275 )
= SV284 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1954]) ).
thf(1962,plain,
! [SV268: $i] :
( ( ( ( SV268 = n0 )
| ( SV268 = n1 ) )
= $true )
| ( ( SV268 = n2 )
= $true )
| ( ( SV268 = n3 )
= $true )
| ( ( SV268 = n4 )
= $true )
| ( ( leq @ n0 @ SV268 )
= $false )
| ( ( leq @ SV268 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1956]) ).
thf(1963,plain,
! [SV269: $i] :
( ( ( SV269 = n0 )
= $true )
| ( ( SV269 = n1 )
= $true )
| ( ( SV269 = n2 )
= $true )
| ( ( SV269 = n3 )
= $true )
| ( ( leq @ n0 @ SV269 )
= $false )
| ( ( leq @ SV269 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1957]) ).
thf(1964,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) )
| ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(1965,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ( ~ ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) )
| ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1959]) ).
thf(1966,plain,
! [SV272: $i] :
( ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 ) )
= $true )
| ( ( SV272 = n3 )
= $true )
| ( ( SV272 = n4 )
= $true )
| ( ( SV272 = n5 )
= $true )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( leq @ SV272 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1960]) ).
thf(1967,plain,
! [SV287: $i,SV284: $i,SV280: $i,SV275: $i,SV265: $i] :
( ( ( SV265 = SV275 )
= $true )
| ( ( ( a_select2 @ SV280 @ SV275 )
!= SV284 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SV287 ) @ SV275 )
= SV284 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1961]) ).
thf(1968,plain,
! [SV268: $i] :
( ( ( SV268 = n0 )
= $true )
| ( ( SV268 = n1 )
= $true )
| ( ( SV268 = n2 )
= $true )
| ( ( SV268 = n3 )
= $true )
| ( ( SV268 = n4 )
= $true )
| ( ( leq @ n0 @ SV268 )
= $false )
| ( ( leq @ SV268 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1962]) ).
thf(1969,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) ) )
= $true )
| ( ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1964]) ).
thf(1970,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ( ~ ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1965]) ).
thf(1971,plain,
! [SV272: $i] :
( ( ( ( SV272 = n0 )
| ( SV272 = n1 ) )
= $true )
| ( ( SV272 = n2 )
= $true )
| ( ( SV272 = n3 )
= $true )
| ( ( SV272 = n4 )
= $true )
| ( ( SV272 = n5 )
= $true )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( leq @ SV272 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1966]) ).
thf(1972,plain,
! [SV287: $i,SV265: $i,SV284: $i,SV275: $i,SV280: $i] :
( ( ( ( a_select2 @ SV280 @ SV275 )
= SV284 )
= $false )
| ( ( SV265 = SV275 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV280 @ SV265 @ SV287 ) @ SV275 )
= SV284 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1967]) ).
thf(1973,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( ~ ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) ) )
= $false )
| ( ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1969]) ).
thf(1974,plain,
! [SV271: $i,SV286: $i,SV282: $i,SV277: $i] :
( ( ( ! [SY526: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY526 )
| ~ ( leq @ SY526 @ SV277 ) )
| ( ( a_select2 @ SV282 @ SY526 )
= SV286 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1970]) ).
thf(1975,plain,
! [SV272: $i] :
( ( ( SV272 = n0 )
= $true )
| ( ( SV272 = n1 )
= $true )
| ( ( SV272 = n2 )
= $true )
| ( ( SV272 = n3 )
= $true )
| ( ( SV272 = n4 )
= $true )
| ( ( SV272 = n5 )
= $true )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( leq @ SV272 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1971]) ).
thf(1976,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( ~ ( ( SV270 != SV281 ) )
| ( SV276 != SV285 ) )
= $true )
| ( ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1973]) ).
thf(1977,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
| ~ ( leq @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) @ SV277 ) )
| ( ( a_select2 @ SV282 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
= SV286 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1974]) ).
thf(1978,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( ~ ( ( SV270 != SV281 ) ) )
= $true )
| ( ( SV276 != SV285 )
= $true )
| ( ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1976]) ).
thf(1979,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
| ~ ( leq @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) @ SV277 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1977]) ).
thf(1980,plain,
! [SV277: $i,SV286: $i,SV271: $i,SV282: $i] :
( ( ( ( a_select2 @ SV282 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
= SV286 )
= $false )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1977]) ).
thf(1981,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( SV270 != SV281 )
= $false )
| ( ( SV276 != SV285 )
= $true )
| ( ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1978]) ).
thf(1982,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
| ~ ( leq @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) @ SV277 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1979]) ).
thf(1983,plain,
! [SV277: $i,SV286: $i,SV282: $i,SV271: $i] :
( ( ( leq @ n0 @ SV271 )
= $false )
| ( ( ( a_select2 @ SV282 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
= SV286 )
= $false )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1980]) ).
thf(1984,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV285: $i,SV276: $i,SV281: $i,SV270: $i] :
( ( ( SV270 = SV281 )
= $true )
| ( ( SV276 != SV285 )
= $true )
| ( ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1981]) ).
thf(1985,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( ~ ( leq @ n0 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
| ~ ( leq @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) @ SV277 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(1986,plain,
! [SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ( leq @ SV271 @ SV277 )
= $false )
| ( ( ( a_select2 @ SV282 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
= SV286 )
= $false )
| ( ( leq @ n0 @ SV271 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1983]) ).
thf(1987,plain,
! [SV290: $i,SV289: $i,SV288: $i,SV281: $i,SV270: $i,SV285: $i,SV276: $i] :
( ( ( SV276 = SV285 )
= $false )
| ( ( SV270 = SV281 )
= $true )
| ( ( ( a_select3 @ SV288 @ SV281 @ SV285 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1984]) ).
thf(1988,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( ~ ( leq @ n0 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(1989,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( ~ ( leq @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) @ SV277 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(1990,plain,
! [SV290: $i,SV276: $i,SV270: $i,SV289: $i,SV285: $i,SV281: $i,SV288: $i] :
( ( ( ( a_select3 @ SV288 @ SV281 @ SV285 )
= SV289 )
= $false )
| ( ( SV270 = SV281 )
= $true )
| ( ( SV276 = SV285 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV288 @ SV270 @ SV276 @ SV290 ) @ SV281 @ SV285 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1987]) ).
thf(1991,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( leq @ n0 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1988]) ).
thf(1992,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( leq @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) @ SV277 )
= $true )
| ( ( ~ ( leq @ n0 @ SV271 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1989]) ).
thf(1993,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( leq @ n0 @ SV271 )
= $false )
| ( ( leq @ n0 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1991]) ).
thf(1994,plain,
! [SV277: $i,SV282: $i,SV286: $i,SV271: $i] :
( ( ( leq @ n0 @ SV271 )
= $false )
| ( ( leq @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) @ SV277 )
= $true )
| ( ( ~ ( leq @ SV271 @ SV277 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1992]) ).
thf(1995,plain,
! [SV282: $i,SV286: $i,SV277: $i,SV271: $i] :
( ( ( leq @ SV271 @ SV277 )
= $false )
| ( ( leq @ n0 @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) )
= $true )
| ( ( leq @ n0 @ SV271 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1993]) ).
thf(1996,plain,
! [SV282: $i,SV286: $i,SV277: $i,SV271: $i] :
( ( ( leq @ SV271 @ SV277 )
= $false )
| ( ( leq @ ( sK10_SY526 @ SV271 @ SV286 @ SV282 @ SV277 ) @ SV277 )
= $true )
| ( ( leq @ n0 @ SV271 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV277 @ SV286 ) @ SV271 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1994]) ).
thf(1997,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1822,1996,1995,1990,1986,1975,1972,1968,1963,1955,1948,1937,1909,1899,1879,1876,1862,1861,1860,1859,1858,1857,1856,1855,1854,1853,1852,1851,1850,1849,1848,1847,1846,1845,1844,1843,1836,1835,1834,1833,1832,1831,1830,1829,1828,1827,1826,1825,1824,1823]) ).
thf(1998,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(1999,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(2000,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2001,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(2002,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(2003,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2004,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2005,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2006,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2007,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2008,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2009,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2010,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2011,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2012,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2013,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2014,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2015,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2016,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2017,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2018,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2019,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(2020,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(2021,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2022,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2023,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2024,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2025,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2026,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2027,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2028,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2029,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2030,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(2031,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(2032,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(2033,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2034,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2035,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2036,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2037,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2038,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2039,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2040,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2041,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2042,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2043,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2044,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2045,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(2046,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2020]) ).
thf(2047,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2024]) ).
thf(2048,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2003]) ).
thf(2049,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2023]) ).
thf(2050,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2022]) ).
thf(2051,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2001]) ).
thf(2052,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1999]) ).
thf(2053,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2002]) ).
thf(2054,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2021]) ).
thf(2055,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2019]) ).
thf(2056,plain,
! [SV291: $i] :
( ( ! [SY530: $i,SY531: $i,SY532: $i] :
( ( a_select3 @ ( tptp_update3 @ SV291 @ SY530 @ SY531 @ SY532 ) @ SY530 @ SY531 )
= SY532 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2057,plain,
! [SV292: $i] :
( ( ! [SY533: $i,SY534: $i] :
( ( a_select2 @ ( tptp_update2 @ SV292 @ SY533 @ SY534 ) @ SY533 )
= SY534 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2058,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2045]) ).
thf(2059,plain,
! [SV293: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV293 )
| ~ ( leq @ SV293 @ n5 ) )
| ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 )
| ( SV293 = n4 )
| ( SV293 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2046]) ).
thf(2060,plain,
! [SV294: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV294 )
| ~ ( leq @ SV294 @ n3 ) )
| ( SV294 = n0 )
| ( SV294 = n1 )
| ( SV294 = n2 )
| ( SV294 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2061,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2048]) ).
thf(2062,plain,
! [SV295: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV295 )
| ~ ( leq @ SV295 @ n2 ) )
| ( SV295 = n0 )
| ( SV295 = n1 )
| ( SV295 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2049]) ).
thf(2063,plain,
! [SV296: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV296 )
| ~ ( leq @ SV296 @ n1 ) )
| ( SV296 = n0 )
| ( SV296 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2064,plain,
! [SV297: $i] :
( ( ! [SY535: $i,SY536: $i,SY537: $i,SY538: $i] :
( ~ ~ ( ~ ( ( SV297 != SY535 ) )
| ( ( a_select2 @ SY536 @ SY535 )
!= SY537 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY536 @ SV297 @ SY538 ) @ SY535 )
= SY537 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2065,plain,
! [SV298: $i] :
( ( ! [SY539: $i,SY540: $i,SY541: $i,SY542: $i,SY543: $i,SY544: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV298 != SY540 ) )
| ( SY539 != SY541 ) )
| ( ( a_select3 @ SY542 @ SY540 @ SY541 )
!= SY543 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY542 @ SV298 @ SY539 @ SY544 ) @ SY540 @ SY541 )
= SY543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2052]) ).
thf(2066,plain,
! [SV299: $i] :
( ( ! [SY545: $i,SY546: $i,SY547: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY545 ) )
| ( ( a_select2 @ SY546 @ SX4 )
= SY547 ) )
| ~ ( leq @ n0 @ SV299 ) )
| ~ ( leq @ SV299 @ SY545 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY546 @ SY545 @ SY547 ) @ SV299 )
= SY547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2067,plain,
! [SV300: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV300 )
| ~ ( leq @ SV300 @ n0 ) )
| ( SV300 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2068,plain,
! [SV301: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV301 )
| ~ ( leq @ SV301 @ n4 ) )
| ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 )
| ( SV301 = n3 )
| ( SV301 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2069,plain,
! [SV302: $i,SV291: $i] :
( ( ! [SY549: $i,SY550: $i] :
( ( a_select3 @ ( tptp_update3 @ SV291 @ SV302 @ SY549 @ SY550 ) @ SV302 @ SY549 )
= SY550 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2070,plain,
! [SV303: $i,SV292: $i] :
( ( ! [SY551: $i] :
( ( a_select2 @ ( tptp_update2 @ SV292 @ SV303 @ SY551 ) @ SV303 )
= SY551 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2071,plain,
! [SV293: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV293 )
| ~ ( leq @ SV293 @ n5 ) ) )
= $true )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 )
| ( SV293 = n4 )
| ( SV293 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2059]) ).
thf(2072,plain,
! [SV294: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV294 )
| ~ ( leq @ SV294 @ n3 ) ) )
= $true )
| ( ( ( SV294 = n0 )
| ( SV294 = n1 )
| ( SV294 = n2 )
| ( SV294 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2060]) ).
thf(2073,plain,
! [SV295: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV295 )
| ~ ( leq @ SV295 @ n2 ) ) )
= $true )
| ( ( ( SV295 = n0 )
| ( SV295 = n1 )
| ( SV295 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2062]) ).
thf(2074,plain,
! [SV296: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV296 )
| ~ ( leq @ SV296 @ n1 ) ) )
= $true )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2063]) ).
thf(2075,plain,
! [SV304: $i,SV297: $i] :
( ( ! [SY552: $i,SY553: $i,SY554: $i] :
( ~ ~ ( ~ ( ( SV297 != SV304 ) )
| ( ( a_select2 @ SY552 @ SV304 )
!= SY553 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY552 @ SV297 @ SY554 ) @ SV304 )
= SY553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2064]) ).
thf(2076,plain,
! [SV305: $i,SV298: $i] :
( ( ! [SY555: $i,SY556: $i,SY557: $i,SY558: $i,SY559: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV298 != SY555 ) )
| ( SV305 != SY556 ) )
| ( ( a_select3 @ SY557 @ SY555 @ SY556 )
!= SY558 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY557 @ SV298 @ SV305 @ SY559 ) @ SY555 @ SY556 )
= SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2077,plain,
! [SV299: $i,SV306: $i] :
( ( ! [SY560: $i,SY561: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY562: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY562 )
| ~ ( leq @ SY562 @ SV306 ) )
| ( ( a_select2 @ SY560 @ SY562 )
= SY561 ) )
| ~ ( leq @ n0 @ SV299 ) )
| ~ ( leq @ SV299 @ SV306 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY560 @ SV306 @ SY561 ) @ SV299 )
= SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2066]) ).
thf(2078,plain,
! [SV300: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV300 )
| ~ ( leq @ SV300 @ n0 ) ) )
= $true )
| ( ( SV300 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2067]) ).
thf(2079,plain,
! [SV301: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV301 )
| ~ ( leq @ SV301 @ n4 ) ) )
= $true )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 )
| ( SV301 = n3 )
| ( SV301 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2068]) ).
thf(2080,plain,
! [SV307: $i,SV302: $i,SV291: $i] :
( ( ! [SY563: $i] :
( ( a_select3 @ ( tptp_update3 @ SV291 @ SV302 @ SV307 @ SY563 ) @ SV302 @ SV307 )
= SY563 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2081,plain,
! [SV308: $i,SV303: $i,SV292: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV292 @ SV303 @ SV308 ) @ SV303 )
= SV308 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2070]) ).
thf(2082,plain,
! [SV293: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV293 )
| ~ ( leq @ SV293 @ n5 ) ) )
= $false )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 )
| ( SV293 = n4 )
| ( SV293 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2071]) ).
thf(2083,plain,
! [SV294: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV294 )
| ~ ( leq @ SV294 @ n3 ) ) )
= $false )
| ( ( ( SV294 = n0 )
| ( SV294 = n1 )
| ( SV294 = n2 )
| ( SV294 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2072]) ).
thf(2084,plain,
! [SV295: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV295 )
| ~ ( leq @ SV295 @ n2 ) ) )
= $false )
| ( ( ( SV295 = n0 )
| ( SV295 = n1 )
| ( SV295 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2073]) ).
thf(2085,plain,
! [SV296: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV296 )
| ~ ( leq @ SV296 @ n1 ) ) )
= $false )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2074]) ).
thf(2086,plain,
! [SV309: $i,SV304: $i,SV297: $i] :
( ( ! [SY564: $i,SY565: $i] :
( ~ ~ ( ~ ( ( SV297 != SV304 ) )
| ( ( a_select2 @ SV309 @ SV304 )
!= SY564 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SY565 ) @ SV304 )
= SY564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2075]) ).
thf(2087,plain,
! [SV305: $i,SV310: $i,SV298: $i] :
( ( ! [SY566: $i,SY567: $i,SY568: $i,SY569: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SY566 ) )
| ( ( a_select3 @ SY567 @ SV310 @ SY566 )
!= SY568 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY567 @ SV298 @ SV305 @ SY569 ) @ SV310 @ SY566 )
= SY568 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2076]) ).
thf(2088,plain,
! [SV299: $i,SV311: $i,SV306: $i] :
( ( ! [SY570: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY571: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY571 )
| ~ ( leq @ SY571 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY571 )
= SY570 ) )
| ~ ( leq @ n0 @ SV299 ) )
| ~ ( leq @ SV299 @ SV306 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SY570 ) @ SV299 )
= SY570 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2077]) ).
thf(2089,plain,
! [SV300: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV300 )
| ~ ( leq @ SV300 @ n0 ) ) )
= $false )
| ( ( SV300 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2078]) ).
thf(2090,plain,
! [SV301: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV301 )
| ~ ( leq @ SV301 @ n4 ) ) )
= $false )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 )
| ( SV301 = n3 )
| ( SV301 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2079]) ).
thf(2091,plain,
! [SV312: $i,SV307: $i,SV302: $i,SV291: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV291 @ SV302 @ SV307 @ SV312 ) @ SV302 @ SV307 )
= SV312 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2092,plain,
! [SV293: $i] :
( ( ( ~ ( leq @ n0 @ SV293 )
| ~ ( leq @ SV293 @ n5 ) )
= $true )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 )
| ( SV293 = n4 )
| ( SV293 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2082]) ).
thf(2093,plain,
! [SV294: $i] :
( ( ( ~ ( leq @ n0 @ SV294 )
| ~ ( leq @ SV294 @ n3 ) )
= $true )
| ( ( ( SV294 = n0 )
| ( SV294 = n1 )
| ( SV294 = n2 )
| ( SV294 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2083]) ).
thf(2094,plain,
! [SV295: $i] :
( ( ( ~ ( leq @ n0 @ SV295 )
| ~ ( leq @ SV295 @ n2 ) )
= $true )
| ( ( ( SV295 = n0 )
| ( SV295 = n1 )
| ( SV295 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2084]) ).
thf(2095,plain,
! [SV296: $i] :
( ( ( ~ ( leq @ n0 @ SV296 )
| ~ ( leq @ SV296 @ n1 ) )
= $true )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2085]) ).
thf(2096,plain,
! [SV313: $i,SV309: $i,SV304: $i,SV297: $i] :
( ( ! [SY572: $i] :
( ~ ~ ( ~ ( ( SV297 != SV304 ) )
| ( ( a_select2 @ SV309 @ SV304 )
!= SV313 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SY572 ) @ SV304 )
= SV313 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2097,plain,
! [SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ! [SY573: $i,SY574: $i,SY575: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) )
| ( ( a_select3 @ SY573 @ SV310 @ SV314 )
!= SY574 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY573 @ SV298 @ SV305 @ SY575 ) @ SV310 @ SV314 )
= SY574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2098,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) )
| ~ ( leq @ n0 @ SV299 ) )
| ~ ( leq @ SV299 @ SV306 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2099,plain,
! [SV300: $i] :
( ( ( ~ ( leq @ n0 @ SV300 )
| ~ ( leq @ SV300 @ n0 ) )
= $true )
| ( ( SV300 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2100,plain,
! [SV301: $i] :
( ( ( ~ ( leq @ n0 @ SV301 )
| ~ ( leq @ SV301 @ n4 ) )
= $true )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 )
| ( SV301 = n3 )
| ( SV301 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2090]) ).
thf(2101,plain,
! [SV293: $i] :
( ( ( ~ ( leq @ n0 @ SV293 ) )
= $true )
| ( ( ~ ( leq @ SV293 @ n5 ) )
= $true )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 )
| ( SV293 = n4 )
| ( SV293 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2092]) ).
thf(2102,plain,
! [SV294: $i] :
( ( ( ~ ( leq @ n0 @ SV294 ) )
= $true )
| ( ( ~ ( leq @ SV294 @ n3 ) )
= $true )
| ( ( ( SV294 = n0 )
| ( SV294 = n1 )
| ( SV294 = n2 )
| ( SV294 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2093]) ).
thf(2103,plain,
! [SV295: $i] :
( ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ n2 ) )
= $true )
| ( ( ( SV295 = n0 )
| ( SV295 = n1 )
| ( SV295 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2094]) ).
thf(2104,plain,
! [SV296: $i] :
( ( ( ~ ( leq @ n0 @ SV296 ) )
= $true )
| ( ( ~ ( leq @ SV296 @ n1 ) )
= $true )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2095]) ).
thf(2105,plain,
! [SV316: $i,SV313: $i,SV309: $i,SV304: $i,SV297: $i] :
( ( ~ ~ ( ~ ( ( SV297 != SV304 ) )
| ( ( a_select2 @ SV309 @ SV304 )
!= SV313 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SV316 ) @ SV304 )
= SV313 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2096]) ).
thf(2106,plain,
! [SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ! [SY577: $i,SY578: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) )
| ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SY577 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SY578 ) @ SV310 @ SV314 )
= SY577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2097]) ).
thf(2107,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) )
| ~ ( leq @ n0 @ SV299 ) )
| ~ ( leq @ SV299 @ SV306 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2108,plain,
! [SV300: $i] :
( ( ( ~ ( leq @ n0 @ SV300 ) )
= $true )
| ( ( ~ ( leq @ SV300 @ n0 ) )
= $true )
| ( ( SV300 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2099]) ).
thf(2109,plain,
! [SV301: $i] :
( ( ( ~ ( leq @ n0 @ SV301 ) )
= $true )
| ( ( ~ ( leq @ SV301 @ n4 ) )
= $true )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 )
| ( SV301 = n3 )
| ( SV301 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2100]) ).
thf(2110,plain,
! [SV293: $i] :
( ( ( leq @ n0 @ SV293 )
= $false )
| ( ( ~ ( leq @ SV293 @ n5 ) )
= $true )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 )
| ( SV293 = n4 )
| ( SV293 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2101]) ).
thf(2111,plain,
! [SV294: $i] :
( ( ( leq @ n0 @ SV294 )
= $false )
| ( ( ~ ( leq @ SV294 @ n3 ) )
= $true )
| ( ( ( SV294 = n0 )
| ( SV294 = n1 )
| ( SV294 = n2 )
| ( SV294 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2102]) ).
thf(2112,plain,
! [SV295: $i] :
( ( ( leq @ n0 @ SV295 )
= $false )
| ( ( ~ ( leq @ SV295 @ n2 ) )
= $true )
| ( ( ( SV295 = n0 )
| ( SV295 = n1 )
| ( SV295 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2103]) ).
thf(2113,plain,
! [SV296: $i] :
( ( ( leq @ n0 @ SV296 )
= $false )
| ( ( ~ ( leq @ SV296 @ n1 ) )
= $true )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2104]) ).
thf(2114,plain,
! [SV316: $i,SV313: $i,SV309: $i,SV304: $i,SV297: $i] :
( ( ( ~ ~ ( ~ ( ( SV297 != SV304 ) )
| ( ( a_select2 @ SV309 @ SV304 )
!= SV313 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SV316 ) @ SV304 )
= SV313 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2105]) ).
thf(2115,plain,
! [SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ! [SY579: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) )
| ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SY579 ) @ SV310 @ SV314 )
= SV318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2106]) ).
thf(2116,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) )
| ~ ( leq @ n0 @ SV299 ) )
| ~ ( leq @ SV299 @ SV306 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2107]) ).
thf(2117,plain,
! [SV300: $i] :
( ( ( leq @ n0 @ SV300 )
= $false )
| ( ( ~ ( leq @ SV300 @ n0 ) )
= $true )
| ( ( SV300 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2108]) ).
thf(2118,plain,
! [SV301: $i] :
( ( ( leq @ n0 @ SV301 )
= $false )
| ( ( ~ ( leq @ SV301 @ n4 ) )
= $true )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 )
| ( SV301 = n3 )
| ( SV301 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2109]) ).
thf(2119,plain,
! [SV293: $i] :
( ( ( leq @ SV293 @ n5 )
= $false )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 )
| ( SV293 = n4 )
| ( SV293 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(2120,plain,
! [SV294: $i] :
( ( ( leq @ SV294 @ n3 )
= $false )
| ( ( leq @ n0 @ SV294 )
= $false )
| ( ( ( SV294 = n0 )
| ( SV294 = n1 )
| ( SV294 = n2 )
| ( SV294 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2111]) ).
thf(2121,plain,
! [SV295: $i] :
( ( ( leq @ SV295 @ n2 )
= $false )
| ( ( leq @ n0 @ SV295 )
= $false )
| ( ( ( SV295 = n0 )
| ( SV295 = n1 )
| ( SV295 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2112]) ).
thf(2122,plain,
! [SV296: $i] :
( ( ( leq @ SV296 @ n1 )
= $false )
| ( ( leq @ n0 @ SV296 )
= $false )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2113]) ).
thf(2123,plain,
! [SV316: $i,SV313: $i,SV309: $i,SV304: $i,SV297: $i] :
( ( ( ~ ( ~ ( ( SV297 != SV304 ) )
| ( ( a_select2 @ SV309 @ SV304 )
!= SV313 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SV316 ) @ SV304 )
= SV313 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2124,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) )
| ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2125,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ( ~ ~ ( ~ ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) )
| ~ ( leq @ n0 @ SV299 ) )
| ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2116]) ).
thf(2126,plain,
! [SV300: $i] :
( ( ( leq @ SV300 @ n0 )
= $false )
| ( ( leq @ n0 @ SV300 )
= $false )
| ( ( SV300 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2127,plain,
! [SV301: $i] :
( ( ( leq @ SV301 @ n4 )
= $false )
| ( ( leq @ n0 @ SV301 )
= $false )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 )
| ( SV301 = n3 )
| ( SV301 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2128,plain,
! [SV293: $i] :
( ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 )
| ( SV293 = n4 ) )
= $true )
| ( ( SV293 = n5 )
= $true )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( leq @ SV293 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2119]) ).
thf(2129,plain,
! [SV294: $i] :
( ( ( ( SV294 = n0 )
| ( SV294 = n1 )
| ( SV294 = n2 ) )
= $true )
| ( ( SV294 = n3 )
= $true )
| ( ( leq @ n0 @ SV294 )
= $false )
| ( ( leq @ SV294 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2120]) ).
thf(2130,plain,
! [SV295: $i] :
( ( ( ( SV295 = n0 )
| ( SV295 = n1 ) )
= $true )
| ( ( SV295 = n2 )
= $true )
| ( ( leq @ n0 @ SV295 )
= $false )
| ( ( leq @ SV295 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2121]) ).
thf(2131,plain,
! [SV296: $i] :
( ( ( SV296 = n0 )
= $true )
| ( ( SV296 = n1 )
= $true )
| ( ( leq @ n0 @ SV296 )
= $false )
| ( ( leq @ SV296 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2122]) ).
thf(2132,plain,
! [SV316: $i,SV313: $i,SV309: $i,SV304: $i,SV297: $i] :
( ( ( ~ ( ( SV297 != SV304 ) )
| ( ( a_select2 @ SV309 @ SV304 )
!= SV313 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SV316 ) @ SV304 )
= SV313 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2123]) ).
thf(2133,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) )
| ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2124]) ).
thf(2134,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ( ~ ~ ( ~ ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) )
| ~ ( leq @ n0 @ SV299 ) ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2125]) ).
thf(2135,plain,
! [SV301: $i] :
( ( ( ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 )
| ( SV301 = n3 ) )
= $true )
| ( ( SV301 = n4 )
= $true )
| ( ( leq @ n0 @ SV301 )
= $false )
| ( ( leq @ SV301 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2127]) ).
thf(2136,plain,
! [SV293: $i] :
( ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 )
| ( SV293 = n3 ) )
= $true )
| ( ( SV293 = n4 )
= $true )
| ( ( SV293 = n5 )
= $true )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( leq @ SV293 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2128]) ).
thf(2137,plain,
! [SV294: $i] :
( ( ( ( SV294 = n0 )
| ( SV294 = n1 ) )
= $true )
| ( ( SV294 = n2 )
= $true )
| ( ( SV294 = n3 )
= $true )
| ( ( leq @ n0 @ SV294 )
= $false )
| ( ( leq @ SV294 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2129]) ).
thf(2138,plain,
! [SV295: $i] :
( ( ( SV295 = n0 )
= $true )
| ( ( SV295 = n1 )
= $true )
| ( ( SV295 = n2 )
= $true )
| ( ( leq @ n0 @ SV295 )
= $false )
| ( ( leq @ SV295 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2130]) ).
thf(2139,plain,
! [SV316: $i,SV313: $i,SV309: $i,SV304: $i,SV297: $i] :
( ( ( ~ ( ( SV297 != SV304 ) ) )
= $true )
| ( ( ( a_select2 @ SV309 @ SV304 )
!= SV313 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SV316 ) @ SV304 )
= SV313 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2132]) ).
thf(2140,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) )
| ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2133]) ).
thf(2141,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ( ~ ( ~ ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) )
| ~ ( leq @ n0 @ SV299 ) ) )
= $false )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2142,plain,
! [SV301: $i] :
( ( ( ( SV301 = n0 )
| ( SV301 = n1 )
| ( SV301 = n2 ) )
= $true )
| ( ( SV301 = n3 )
= $true )
| ( ( SV301 = n4 )
= $true )
| ( ( leq @ n0 @ SV301 )
= $false )
| ( ( leq @ SV301 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2135]) ).
thf(2143,plain,
! [SV293: $i] :
( ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 ) )
= $true )
| ( ( SV293 = n3 )
= $true )
| ( ( SV293 = n4 )
= $true )
| ( ( SV293 = n5 )
= $true )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( leq @ SV293 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2136]) ).
thf(2144,plain,
! [SV294: $i] :
( ( ( SV294 = n0 )
= $true )
| ( ( SV294 = n1 )
= $true )
| ( ( SV294 = n2 )
= $true )
| ( ( SV294 = n3 )
= $true )
| ( ( leq @ n0 @ SV294 )
= $false )
| ( ( leq @ SV294 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2137]) ).
thf(2145,plain,
! [SV316: $i,SV313: $i,SV309: $i,SV304: $i,SV297: $i] :
( ( ( SV297 != SV304 )
= $false )
| ( ( ( a_select2 @ SV309 @ SV304 )
!= SV313 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SV316 ) @ SV304 )
= SV313 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2139]) ).
thf(2146,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) )
| ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2140]) ).
thf(2147,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ( ~ ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) )
| ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2141]) ).
thf(2148,plain,
! [SV301: $i] :
( ( ( ( SV301 = n0 )
| ( SV301 = n1 ) )
= $true )
| ( ( SV301 = n2 )
= $true )
| ( ( SV301 = n3 )
= $true )
| ( ( SV301 = n4 )
= $true )
| ( ( leq @ n0 @ SV301 )
= $false )
| ( ( leq @ SV301 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2142]) ).
thf(2149,plain,
! [SV293: $i] :
( ( ( ( SV293 = n0 )
| ( SV293 = n1 ) )
= $true )
| ( ( SV293 = n2 )
= $true )
| ( ( SV293 = n3 )
= $true )
| ( ( SV293 = n4 )
= $true )
| ( ( SV293 = n5 )
= $true )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( leq @ SV293 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2143]) ).
thf(2150,plain,
! [SV316: $i,SV313: $i,SV309: $i,SV304: $i,SV297: $i] :
( ( ( SV297 = SV304 )
= $true )
| ( ( ( a_select2 @ SV309 @ SV304 )
!= SV313 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SV316 ) @ SV304 )
= SV313 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2145]) ).
thf(2151,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( ~ ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) ) )
= $true )
| ( ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2146]) ).
thf(2152,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ( ~ ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2147]) ).
thf(2153,plain,
! [SV301: $i] :
( ( ( SV301 = n0 )
= $true )
| ( ( SV301 = n1 )
= $true )
| ( ( SV301 = n2 )
= $true )
| ( ( SV301 = n3 )
= $true )
| ( ( SV301 = n4 )
= $true )
| ( ( leq @ n0 @ SV301 )
= $false )
| ( ( leq @ SV301 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2148]) ).
thf(2154,plain,
! [SV293: $i] :
( ( ( SV293 = n0 )
= $true )
| ( ( SV293 = n1 )
= $true )
| ( ( SV293 = n2 )
= $true )
| ( ( SV293 = n3 )
= $true )
| ( ( SV293 = n4 )
= $true )
| ( ( SV293 = n5 )
= $true )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( leq @ SV293 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2149]) ).
thf(2155,plain,
! [SV316: $i,SV297: $i,SV313: $i,SV304: $i,SV309: $i] :
( ( ( ( a_select2 @ SV309 @ SV304 )
= SV313 )
= $false )
| ( ( SV297 = SV304 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV309 @ SV297 @ SV316 ) @ SV304 )
= SV313 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2150]) ).
thf(2156,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( ~ ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) ) )
= $false )
| ( ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2151]) ).
thf(2157,plain,
! [SV299: $i,SV315: $i,SV311: $i,SV306: $i] :
( ( ( ! [SY576: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY576 )
| ~ ( leq @ SY576 @ SV306 ) )
| ( ( a_select2 @ SV311 @ SY576 )
= SV315 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2152]) ).
thf(2158,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( ~ ( ( SV298 != SV310 ) )
| ( SV305 != SV314 ) )
= $true )
| ( ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2156]) ).
thf(2159,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
| ~ ( leq @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) @ SV306 ) )
| ( ( a_select2 @ SV311 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
= SV315 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2157]) ).
thf(2160,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( ~ ( ( SV298 != SV310 ) ) )
= $true )
| ( ( SV305 != SV314 )
= $true )
| ( ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2161,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
| ~ ( leq @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) @ SV306 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2159]) ).
thf(2162,plain,
! [SV306: $i,SV315: $i,SV299: $i,SV311: $i] :
( ( ( ( a_select2 @ SV311 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
= SV315 )
= $false )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2159]) ).
thf(2163,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( SV298 != SV310 )
= $false )
| ( ( SV305 != SV314 )
= $true )
| ( ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2160]) ).
thf(2164,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
| ~ ( leq @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) @ SV306 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2161]) ).
thf(2165,plain,
! [SV306: $i,SV315: $i,SV311: $i,SV299: $i] :
( ( ( leq @ n0 @ SV299 )
= $false )
| ( ( ( a_select2 @ SV311 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
= SV315 )
= $false )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2166,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV314: $i,SV305: $i,SV310: $i,SV298: $i] :
( ( ( SV298 = SV310 )
= $true )
| ( ( SV305 != SV314 )
= $true )
| ( ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2163]) ).
thf(2167,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( ~ ( leq @ n0 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
| ~ ( leq @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) @ SV306 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2164]) ).
thf(2168,plain,
! [SV315: $i,SV311: $i,SV306: $i,SV299: $i] :
( ( ( leq @ SV299 @ SV306 )
= $false )
| ( ( ( a_select2 @ SV311 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
= SV315 )
= $false )
| ( ( leq @ n0 @ SV299 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2169,plain,
! [SV319: $i,SV318: $i,SV317: $i,SV310: $i,SV298: $i,SV314: $i,SV305: $i] :
( ( ( SV305 = SV314 )
= $false )
| ( ( SV298 = SV310 )
= $true )
| ( ( ( a_select3 @ SV317 @ SV310 @ SV314 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2166]) ).
thf(2170,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( ~ ( leq @ n0 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2167]) ).
thf(2171,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( ~ ( leq @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) @ SV306 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2167]) ).
thf(2172,plain,
! [SV319: $i,SV305: $i,SV298: $i,SV318: $i,SV314: $i,SV310: $i,SV317: $i] :
( ( ( ( a_select3 @ SV317 @ SV310 @ SV314 )
= SV318 )
= $false )
| ( ( SV298 = SV310 )
= $true )
| ( ( SV305 = SV314 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV317 @ SV298 @ SV305 @ SV319 ) @ SV310 @ SV314 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2173,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( leq @ n0 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2170]) ).
thf(2174,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( leq @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) @ SV306 )
= $true )
| ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2171]) ).
thf(2175,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( leq @ n0 @ SV299 )
= $false )
| ( ( leq @ n0 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2173]) ).
thf(2176,plain,
! [SV306: $i,SV311: $i,SV315: $i,SV299: $i] :
( ( ( leq @ n0 @ SV299 )
= $false )
| ( ( leq @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) @ SV306 )
= $true )
| ( ( ~ ( leq @ SV299 @ SV306 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2174]) ).
thf(2177,plain,
! [SV311: $i,SV315: $i,SV306: $i,SV299: $i] :
( ( ( leq @ SV299 @ SV306 )
= $false )
| ( ( leq @ n0 @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) )
= $true )
| ( ( leq @ n0 @ SV299 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2175]) ).
thf(2178,plain,
! [SV311: $i,SV315: $i,SV306: $i,SV299: $i] :
( ( ( leq @ SV299 @ SV306 )
= $false )
| ( ( leq @ ( sK11_SY576 @ SV299 @ SV315 @ SV311 @ SV306 ) @ SV306 )
= $true )
| ( ( leq @ n0 @ SV299 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV306 @ SV315 ) @ SV299 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2179,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2004,2178,2177,2172,2168,2155,2154,2153,2144,2138,2131,2126,2091,2081,2061,2058,2044,2043,2042,2041,2040,2039,2038,2037,2036,2035,2034,2033,2032,2031,2030,2029,2028,2027,2026,2025,2018,2017,2016,2015,2014,2013,2012,2011,2010,2009,2008,2007,2006,2005]) ).
thf(2180,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(2181,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(2182,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2183,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(2184,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(2185,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2186,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2187,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2188,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2189,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2190,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2191,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2192,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2193,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2194,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2195,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2196,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2197,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2198,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2199,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2200,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2201,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(2202,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(2203,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2204,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2205,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2206,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2207,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2208,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2209,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2210,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2211,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2212,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(2213,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(2214,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(2215,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2216,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2217,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2218,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2219,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2220,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2221,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2222,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2223,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2224,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2225,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2226,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2227,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(2228,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2203]) ).
thf(2229,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2185]) ).
thf(2230,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2184]) ).
thf(2231,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2201]) ).
thf(2232,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2181]) ).
thf(2233,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2206]) ).
thf(2234,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2204]) ).
thf(2235,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2183]) ).
thf(2236,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2202]) ).
thf(2237,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2205]) ).
thf(2238,plain,
! [SV320: $i] :
( ( ! [SY580: $i,SY581: $i,SY582: $i] :
( ( a_select3 @ ( tptp_update3 @ SV320 @ SY580 @ SY581 @ SY582 ) @ SY580 @ SY581 )
= SY582 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2180]) ).
thf(2239,plain,
! [SV321: $i] :
( ( ! [SY583: $i,SY584: $i] :
( ( a_select2 @ ( tptp_update2 @ SV321 @ SY583 @ SY584 ) @ SY583 )
= SY584 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2182]) ).
thf(2240,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2227]) ).
thf(2241,plain,
! [SV322: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV322 )
| ~ ( leq @ SV322 @ n0 ) )
| ( SV322 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2228]) ).
thf(2242,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2229]) ).
thf(2243,plain,
! [SV323: $i] :
( ( ! [SY585: $i,SY586: $i,SY587: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY585 ) )
| ( ( a_select2 @ SY586 @ SX4 )
= SY587 ) )
| ~ ( leq @ n0 @ SV323 ) )
| ~ ( leq @ SV323 @ SY585 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY586 @ SY585 @ SY587 ) @ SV323 )
= SY587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2244,plain,
! [SV324: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV324 )
| ~ ( leq @ SV324 @ n4 ) )
| ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 )
| ( SV324 = n3 )
| ( SV324 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2231]) ).
thf(2245,plain,
! [SV325: $i] :
( ( ! [SY589: $i,SY590: $i,SY591: $i,SY592: $i,SY593: $i,SY594: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV325 != SY590 ) )
| ( SY589 != SY591 ) )
| ( ( a_select3 @ SY592 @ SY590 @ SY591 )
!= SY593 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY592 @ SV325 @ SY589 @ SY594 ) @ SY590 @ SY591 )
= SY593 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2232]) ).
thf(2246,plain,
! [SV326: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV326 )
| ~ ( leq @ SV326 @ n3 ) )
| ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2233]) ).
thf(2247,plain,
! [SV327: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV327 )
| ~ ( leq @ SV327 @ n1 ) )
| ( SV327 = n0 )
| ( SV327 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2248,plain,
! [SV328: $i] :
( ( ! [SY595: $i,SY596: $i,SY597: $i,SY598: $i] :
( ~ ~ ( ~ ( ( SV328 != SY595 ) )
| ( ( a_select2 @ SY596 @ SY595 )
!= SY597 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY596 @ SV328 @ SY598 ) @ SY595 )
= SY597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2249,plain,
! [SV329: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV329 )
| ~ ( leq @ SV329 @ n5 ) )
| ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 )
| ( SV329 = n4 )
| ( SV329 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2250,plain,
! [SV330: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV330 )
| ~ ( leq @ SV330 @ n2 ) )
| ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2251,plain,
! [SV331: $i,SV320: $i] :
( ( ! [SY599: $i,SY600: $i] :
( ( a_select3 @ ( tptp_update3 @ SV320 @ SV331 @ SY599 @ SY600 ) @ SV331 @ SY599 )
= SY600 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2252,plain,
! [SV332: $i,SV321: $i] :
( ( ! [SY601: $i] :
( ( a_select2 @ ( tptp_update2 @ SV321 @ SV332 @ SY601 ) @ SV332 )
= SY601 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2253,plain,
! [SV322: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV322 )
| ~ ( leq @ SV322 @ n0 ) ) )
= $true )
| ( ( SV322 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2241]) ).
thf(2254,plain,
! [SV323: $i,SV333: $i] :
( ( ! [SY602: $i,SY603: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY604: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY604 )
| ~ ( leq @ SY604 @ SV333 ) )
| ( ( a_select2 @ SY602 @ SY604 )
= SY603 ) )
| ~ ( leq @ n0 @ SV323 ) )
| ~ ( leq @ SV323 @ SV333 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY602 @ SV333 @ SY603 ) @ SV323 )
= SY603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2255,plain,
! [SV324: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV324 )
| ~ ( leq @ SV324 @ n4 ) ) )
= $true )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 )
| ( SV324 = n3 )
| ( SV324 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2244]) ).
thf(2256,plain,
! [SV334: $i,SV325: $i] :
( ( ! [SY605: $i,SY606: $i,SY607: $i,SY608: $i,SY609: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV325 != SY605 ) )
| ( SV334 != SY606 ) )
| ( ( a_select3 @ SY607 @ SY605 @ SY606 )
!= SY608 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY607 @ SV325 @ SV334 @ SY609 ) @ SY605 @ SY606 )
= SY608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2257,plain,
! [SV326: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV326 )
| ~ ( leq @ SV326 @ n3 ) ) )
= $true )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2246]) ).
thf(2258,plain,
! [SV327: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV327 )
| ~ ( leq @ SV327 @ n1 ) ) )
= $true )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2247]) ).
thf(2259,plain,
! [SV335: $i,SV328: $i] :
( ( ! [SY610: $i,SY611: $i,SY612: $i] :
( ~ ~ ( ~ ( ( SV328 != SV335 ) )
| ( ( a_select2 @ SY610 @ SV335 )
!= SY611 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY610 @ SV328 @ SY612 ) @ SV335 )
= SY611 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2260,plain,
! [SV329: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV329 )
| ~ ( leq @ SV329 @ n5 ) ) )
= $true )
| ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 )
| ( SV329 = n4 )
| ( SV329 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2249]) ).
thf(2261,plain,
! [SV330: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV330 )
| ~ ( leq @ SV330 @ n2 ) ) )
= $true )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2250]) ).
thf(2262,plain,
! [SV336: $i,SV331: $i,SV320: $i] :
( ( ! [SY613: $i] :
( ( a_select3 @ ( tptp_update3 @ SV320 @ SV331 @ SV336 @ SY613 ) @ SV331 @ SV336 )
= SY613 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2263,plain,
! [SV337: $i,SV332: $i,SV321: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV321 @ SV332 @ SV337 ) @ SV332 )
= SV337 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2252]) ).
thf(2264,plain,
! [SV322: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV322 )
| ~ ( leq @ SV322 @ n0 ) ) )
= $false )
| ( ( SV322 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2253]) ).
thf(2265,plain,
! [SV323: $i,SV338: $i,SV333: $i] :
( ( ! [SY614: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY615: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY615 )
| ~ ( leq @ SY615 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY615 )
= SY614 ) )
| ~ ( leq @ n0 @ SV323 ) )
| ~ ( leq @ SV323 @ SV333 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SY614 ) @ SV323 )
= SY614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2266,plain,
! [SV324: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV324 )
| ~ ( leq @ SV324 @ n4 ) ) )
= $false )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 )
| ( SV324 = n3 )
| ( SV324 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2255]) ).
thf(2267,plain,
! [SV334: $i,SV339: $i,SV325: $i] :
( ( ! [SY616: $i,SY617: $i,SY618: $i,SY619: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SY616 ) )
| ( ( a_select3 @ SY617 @ SV339 @ SY616 )
!= SY618 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY617 @ SV325 @ SV334 @ SY619 ) @ SV339 @ SY616 )
= SY618 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2256]) ).
thf(2268,plain,
! [SV326: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV326 )
| ~ ( leq @ SV326 @ n3 ) ) )
= $false )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2257]) ).
thf(2269,plain,
! [SV327: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV327 )
| ~ ( leq @ SV327 @ n1 ) ) )
= $false )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2258]) ).
thf(2270,plain,
! [SV340: $i,SV335: $i,SV328: $i] :
( ( ! [SY620: $i,SY621: $i] :
( ~ ~ ( ~ ( ( SV328 != SV335 ) )
| ( ( a_select2 @ SV340 @ SV335 )
!= SY620 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SY621 ) @ SV335 )
= SY620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2271,plain,
! [SV329: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV329 )
| ~ ( leq @ SV329 @ n5 ) ) )
= $false )
| ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 )
| ( SV329 = n4 )
| ( SV329 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2260]) ).
thf(2272,plain,
! [SV330: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV330 )
| ~ ( leq @ SV330 @ n2 ) ) )
= $false )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2261]) ).
thf(2273,plain,
! [SV341: $i,SV336: $i,SV331: $i,SV320: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV320 @ SV331 @ SV336 @ SV341 ) @ SV331 @ SV336 )
= SV341 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2274,plain,
! [SV322: $i] :
( ( ( ~ ( leq @ n0 @ SV322 )
| ~ ( leq @ SV322 @ n0 ) )
= $true )
| ( ( SV322 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2264]) ).
thf(2275,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV323 ) )
| ~ ( leq @ SV323 @ SV333 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2276,plain,
! [SV324: $i] :
( ( ( ~ ( leq @ n0 @ SV324 )
| ~ ( leq @ SV324 @ n4 ) )
= $true )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 )
| ( SV324 = n3 )
| ( SV324 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2266]) ).
thf(2277,plain,
! [SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ! [SY623: $i,SY624: $i,SY625: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) )
| ( ( a_select3 @ SY623 @ SV339 @ SV343 )
!= SY624 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY623 @ SV325 @ SV334 @ SY625 ) @ SV339 @ SV343 )
= SY624 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2278,plain,
! [SV326: $i] :
( ( ( ~ ( leq @ n0 @ SV326 )
| ~ ( leq @ SV326 @ n3 ) )
= $true )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2268]) ).
thf(2279,plain,
! [SV327: $i] :
( ( ( ~ ( leq @ n0 @ SV327 )
| ~ ( leq @ SV327 @ n1 ) )
= $true )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2269]) ).
thf(2280,plain,
! [SV344: $i,SV340: $i,SV335: $i,SV328: $i] :
( ( ! [SY626: $i] :
( ~ ~ ( ~ ( ( SV328 != SV335 ) )
| ( ( a_select2 @ SV340 @ SV335 )
!= SV344 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SY626 ) @ SV335 )
= SV344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2270]) ).
thf(2281,plain,
! [SV329: $i] :
( ( ( ~ ( leq @ n0 @ SV329 )
| ~ ( leq @ SV329 @ n5 ) )
= $true )
| ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 )
| ( SV329 = n4 )
| ( SV329 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2271]) ).
thf(2282,plain,
! [SV330: $i] :
( ( ( ~ ( leq @ n0 @ SV330 )
| ~ ( leq @ SV330 @ n2 ) )
= $true )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2272]) ).
thf(2283,plain,
! [SV322: $i] :
( ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ n0 ) )
= $true )
| ( ( SV322 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2274]) ).
thf(2284,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV323 ) )
| ~ ( leq @ SV323 @ SV333 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2275]) ).
thf(2285,plain,
! [SV324: $i] :
( ( ( ~ ( leq @ n0 @ SV324 ) )
= $true )
| ( ( ~ ( leq @ SV324 @ n4 ) )
= $true )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 )
| ( SV324 = n3 )
| ( SV324 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2276]) ).
thf(2286,plain,
! [SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ! [SY627: $i,SY628: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) )
| ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SY627 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SY628 ) @ SV339 @ SV343 )
= SY627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2277]) ).
thf(2287,plain,
! [SV326: $i] :
( ( ( ~ ( leq @ n0 @ SV326 ) )
= $true )
| ( ( ~ ( leq @ SV326 @ n3 ) )
= $true )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2278]) ).
thf(2288,plain,
! [SV327: $i] :
( ( ( ~ ( leq @ n0 @ SV327 ) )
= $true )
| ( ( ~ ( leq @ SV327 @ n1 ) )
= $true )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2279]) ).
thf(2289,plain,
! [SV346: $i,SV344: $i,SV340: $i,SV335: $i,SV328: $i] :
( ( ~ ~ ( ~ ( ( SV328 != SV335 ) )
| ( ( a_select2 @ SV340 @ SV335 )
!= SV344 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SV346 ) @ SV335 )
= SV344 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2280]) ).
thf(2290,plain,
! [SV329: $i] :
( ( ( ~ ( leq @ n0 @ SV329 ) )
= $true )
| ( ( ~ ( leq @ SV329 @ n5 ) )
= $true )
| ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 )
| ( SV329 = n4 )
| ( SV329 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2281]) ).
thf(2291,plain,
! [SV330: $i] :
( ( ( ~ ( leq @ n0 @ SV330 ) )
= $true )
| ( ( ~ ( leq @ SV330 @ n2 ) )
= $true )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2282]) ).
thf(2292,plain,
! [SV322: $i] :
( ( ( leq @ n0 @ SV322 )
= $false )
| ( ( ~ ( leq @ SV322 @ n0 ) )
= $true )
| ( ( SV322 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2293,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV323 ) )
| ~ ( leq @ SV323 @ SV333 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2294,plain,
! [SV324: $i] :
( ( ( leq @ n0 @ SV324 )
= $false )
| ( ( ~ ( leq @ SV324 @ n4 ) )
= $true )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 )
| ( SV324 = n3 )
| ( SV324 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2295,plain,
! [SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ! [SY629: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) )
| ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SY629 ) @ SV339 @ SV343 )
= SV347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2286]) ).
thf(2296,plain,
! [SV326: $i] :
( ( ( leq @ n0 @ SV326 )
= $false )
| ( ( ~ ( leq @ SV326 @ n3 ) )
= $true )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2297,plain,
! [SV327: $i] :
( ( ( leq @ n0 @ SV327 )
= $false )
| ( ( ~ ( leq @ SV327 @ n1 ) )
= $true )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2298,plain,
! [SV346: $i,SV344: $i,SV340: $i,SV335: $i,SV328: $i] :
( ( ( ~ ~ ( ~ ( ( SV328 != SV335 ) )
| ( ( a_select2 @ SV340 @ SV335 )
!= SV344 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SV346 ) @ SV335 )
= SV344 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2289]) ).
thf(2299,plain,
! [SV329: $i] :
( ( ( leq @ n0 @ SV329 )
= $false )
| ( ( ~ ( leq @ SV329 @ n5 ) )
= $true )
| ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 )
| ( SV329 = n4 )
| ( SV329 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2300,plain,
! [SV330: $i] :
( ( ( leq @ n0 @ SV330 )
= $false )
| ( ( ~ ( leq @ SV330 @ n2 ) )
= $true )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2301,plain,
! [SV322: $i] :
( ( ( leq @ SV322 @ n0 )
= $false )
| ( ( leq @ n0 @ SV322 )
= $false )
| ( ( SV322 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2302,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV323 ) )
| ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2293]) ).
thf(2303,plain,
! [SV324: $i] :
( ( ( leq @ SV324 @ n4 )
= $false )
| ( ( leq @ n0 @ SV324 )
= $false )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 )
| ( SV324 = n3 )
| ( SV324 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2304,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) )
| ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2295]) ).
thf(2305,plain,
! [SV326: $i] :
( ( ( leq @ SV326 @ n3 )
= $false )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2296]) ).
thf(2306,plain,
! [SV327: $i] :
( ( ( leq @ SV327 @ n1 )
= $false )
| ( ( leq @ n0 @ SV327 )
= $false )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2297]) ).
thf(2307,plain,
! [SV346: $i,SV344: $i,SV340: $i,SV335: $i,SV328: $i] :
( ( ( ~ ( ~ ( ( SV328 != SV335 ) )
| ( ( a_select2 @ SV340 @ SV335 )
!= SV344 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SV346 ) @ SV335 )
= SV344 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2308,plain,
! [SV329: $i] :
( ( ( leq @ SV329 @ n5 )
= $false )
| ( ( leq @ n0 @ SV329 )
= $false )
| ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 )
| ( SV329 = n4 )
| ( SV329 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2309,plain,
! [SV330: $i] :
( ( ( leq @ SV330 @ n2 )
= $false )
| ( ( leq @ n0 @ SV330 )
= $false )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2300]) ).
thf(2310,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV323 ) ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2302]) ).
thf(2311,plain,
! [SV324: $i] :
( ( ( ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 )
| ( SV324 = n3 ) )
= $true )
| ( ( SV324 = n4 )
= $true )
| ( ( leq @ n0 @ SV324 )
= $false )
| ( ( leq @ SV324 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2303]) ).
thf(2312,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) )
| ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2304]) ).
thf(2313,plain,
! [SV326: $i] :
( ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 ) )
= $true )
| ( ( SV326 = n3 )
= $true )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( leq @ SV326 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2305]) ).
thf(2314,plain,
! [SV327: $i] :
( ( ( SV327 = n0 )
= $true )
| ( ( SV327 = n1 )
= $true )
| ( ( leq @ n0 @ SV327 )
= $false )
| ( ( leq @ SV327 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2306]) ).
thf(2315,plain,
! [SV346: $i,SV344: $i,SV340: $i,SV335: $i,SV328: $i] :
( ( ( ~ ( ( SV328 != SV335 ) )
| ( ( a_select2 @ SV340 @ SV335 )
!= SV344 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SV346 ) @ SV335 )
= SV344 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2307]) ).
thf(2316,plain,
! [SV329: $i] :
( ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 )
| ( SV329 = n4 ) )
= $true )
| ( ( SV329 = n5 )
= $true )
| ( ( leq @ n0 @ SV329 )
= $false )
| ( ( leq @ SV329 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2308]) ).
thf(2317,plain,
! [SV330: $i] :
( ( ( ( SV330 = n0 )
| ( SV330 = n1 ) )
= $true )
| ( ( SV330 = n2 )
= $true )
| ( ( leq @ n0 @ SV330 )
= $false )
| ( ( leq @ SV330 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2309]) ).
thf(2318,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV323 ) ) )
= $false )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2310]) ).
thf(2319,plain,
! [SV324: $i] :
( ( ( ( SV324 = n0 )
| ( SV324 = n1 )
| ( SV324 = n2 ) )
= $true )
| ( ( SV324 = n3 )
= $true )
| ( ( SV324 = n4 )
= $true )
| ( ( leq @ n0 @ SV324 )
= $false )
| ( ( leq @ SV324 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2311]) ).
thf(2320,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) )
| ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2312]) ).
thf(2321,plain,
! [SV326: $i] :
( ( ( ( SV326 = n0 )
| ( SV326 = n1 ) )
= $true )
| ( ( SV326 = n2 )
= $true )
| ( ( SV326 = n3 )
= $true )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( leq @ SV326 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2322,plain,
! [SV346: $i,SV344: $i,SV340: $i,SV335: $i,SV328: $i] :
( ( ( ~ ( ( SV328 != SV335 ) ) )
= $true )
| ( ( ( a_select2 @ SV340 @ SV335 )
!= SV344 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SV346 ) @ SV335 )
= SV344 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2315]) ).
thf(2323,plain,
! [SV329: $i] :
( ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 )
| ( SV329 = n3 ) )
= $true )
| ( ( SV329 = n4 )
= $true )
| ( ( SV329 = n5 )
= $true )
| ( ( leq @ n0 @ SV329 )
= $false )
| ( ( leq @ SV329 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2316]) ).
thf(2324,plain,
! [SV330: $i] :
( ( ( SV330 = n0 )
= $true )
| ( ( SV330 = n1 )
= $true )
| ( ( SV330 = n2 )
= $true )
| ( ( leq @ n0 @ SV330 )
= $false )
| ( ( leq @ SV330 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2317]) ).
thf(2325,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2318]) ).
thf(2326,plain,
! [SV324: $i] :
( ( ( ( SV324 = n0 )
| ( SV324 = n1 ) )
= $true )
| ( ( SV324 = n2 )
= $true )
| ( ( SV324 = n3 )
= $true )
| ( ( SV324 = n4 )
= $true )
| ( ( leq @ n0 @ SV324 )
= $false )
| ( ( leq @ SV324 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2319]) ).
thf(2327,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) )
| ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2320]) ).
thf(2328,plain,
! [SV326: $i] :
( ( ( SV326 = n0 )
= $true )
| ( ( SV326 = n1 )
= $true )
| ( ( SV326 = n2 )
= $true )
| ( ( SV326 = n3 )
= $true )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( leq @ SV326 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2329,plain,
! [SV346: $i,SV344: $i,SV340: $i,SV335: $i,SV328: $i] :
( ( ( SV328 != SV335 )
= $false )
| ( ( ( a_select2 @ SV340 @ SV335 )
!= SV344 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SV346 ) @ SV335 )
= SV344 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2322]) ).
thf(2330,plain,
! [SV329: $i] :
( ( ( ( SV329 = n0 )
| ( SV329 = n1 )
| ( SV329 = n2 ) )
= $true )
| ( ( SV329 = n3 )
= $true )
| ( ( SV329 = n4 )
= $true )
| ( ( SV329 = n5 )
= $true )
| ( ( leq @ n0 @ SV329 )
= $false )
| ( ( leq @ SV329 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2323]) ).
thf(2331,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2325]) ).
thf(2332,plain,
! [SV324: $i] :
( ( ( SV324 = n0 )
= $true )
| ( ( SV324 = n1 )
= $true )
| ( ( SV324 = n2 )
= $true )
| ( ( SV324 = n3 )
= $true )
| ( ( SV324 = n4 )
= $true )
| ( ( leq @ n0 @ SV324 )
= $false )
| ( ( leq @ SV324 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2326]) ).
thf(2333,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( ~ ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) ) )
= $true )
| ( ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2327]) ).
thf(2334,plain,
! [SV346: $i,SV344: $i,SV340: $i,SV335: $i,SV328: $i] :
( ( ( SV328 = SV335 )
= $true )
| ( ( ( a_select2 @ SV340 @ SV335 )
!= SV344 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SV346 ) @ SV335 )
= SV344 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2329]) ).
thf(2335,plain,
! [SV329: $i] :
( ( ( ( SV329 = n0 )
| ( SV329 = n1 ) )
= $true )
| ( ( SV329 = n2 )
= $true )
| ( ( SV329 = n3 )
= $true )
| ( ( SV329 = n4 )
= $true )
| ( ( SV329 = n5 )
= $true )
| ( ( leq @ n0 @ SV329 )
= $false )
| ( ( leq @ SV329 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2330]) ).
thf(2336,plain,
! [SV323: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2331]) ).
thf(2337,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( ~ ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) ) )
= $false )
| ( ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2333]) ).
thf(2338,plain,
! [SV346: $i,SV328: $i,SV344: $i,SV335: $i,SV340: $i] :
( ( ( ( a_select2 @ SV340 @ SV335 )
= SV344 )
= $false )
| ( ( SV328 = SV335 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV340 @ SV328 @ SV346 ) @ SV335 )
= SV344 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2334]) ).
thf(2339,plain,
! [SV329: $i] :
( ( ( SV329 = n0 )
= $true )
| ( ( SV329 = n1 )
= $true )
| ( ( SV329 = n2 )
= $true )
| ( ( SV329 = n3 )
= $true )
| ( ( SV329 = n4 )
= $true )
| ( ( SV329 = n5 )
= $true )
| ( ( leq @ n0 @ SV329 )
= $false )
| ( ( leq @ SV329 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2335]) ).
thf(2340,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
| ~ ( leq @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) @ SV333 ) )
| ( ( a_select2 @ SV338 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
= SV342 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2336]) ).
thf(2341,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( ~ ( ( SV325 != SV339 ) )
| ( SV334 != SV343 ) )
= $true )
| ( ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2337]) ).
thf(2342,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
| ~ ( leq @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) @ SV333 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2340]) ).
thf(2343,plain,
! [SV333: $i,SV342: $i,SV323: $i,SV338: $i] :
( ( ( ( a_select2 @ SV338 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
= SV342 )
= $false )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2340]) ).
thf(2344,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( ~ ( ( SV325 != SV339 ) ) )
= $true )
| ( ( SV334 != SV343 )
= $true )
| ( ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2341]) ).
thf(2345,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
| ~ ( leq @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) @ SV333 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2342]) ).
thf(2346,plain,
! [SV333: $i,SV342: $i,SV338: $i,SV323: $i] :
( ( ( leq @ n0 @ SV323 )
= $false )
| ( ( ( a_select2 @ SV338 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
= SV342 )
= $false )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2343]) ).
thf(2347,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( SV325 != SV339 )
= $false )
| ( ( SV334 != SV343 )
= $true )
| ( ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2348,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
| ~ ( leq @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) @ SV333 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2349,plain,
! [SV342: $i,SV338: $i,SV333: $i,SV323: $i] :
( ( ( leq @ SV323 @ SV333 )
= $false )
| ( ( ( a_select2 @ SV338 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
= SV342 )
= $false )
| ( ( leq @ n0 @ SV323 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2350,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV343: $i,SV334: $i,SV339: $i,SV325: $i] :
( ( ( SV325 = SV339 )
= $true )
| ( ( SV334 != SV343 )
= $true )
| ( ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2347]) ).
thf(2351,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2348]) ).
thf(2352,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( ~ ( leq @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) @ SV333 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2348]) ).
thf(2353,plain,
! [SV348: $i,SV347: $i,SV345: $i,SV339: $i,SV325: $i,SV343: $i,SV334: $i] :
( ( ( SV334 = SV343 )
= $false )
| ( ( SV325 = SV339 )
= $true )
| ( ( ( a_select3 @ SV345 @ SV339 @ SV343 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(2354,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( leq @ n0 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2351]) ).
thf(2355,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( leq @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) @ SV333 )
= $true )
| ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2352]) ).
thf(2356,plain,
! [SV348: $i,SV334: $i,SV325: $i,SV347: $i,SV343: $i,SV339: $i,SV345: $i] :
( ( ( ( a_select3 @ SV345 @ SV339 @ SV343 )
= SV347 )
= $false )
| ( ( SV325 = SV339 )
= $true )
| ( ( SV334 = SV343 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV345 @ SV325 @ SV334 @ SV348 ) @ SV339 @ SV343 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2357,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( leq @ n0 @ SV323 )
= $false )
| ( ( leq @ n0 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2358,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV323: $i] :
( ( ( leq @ n0 @ SV323 )
= $false )
| ( ( leq @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) @ SV333 )
= $true )
| ( ( ~ ( leq @ SV323 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2359,plain,
! [SV338: $i,SV342: $i,SV333: $i,SV323: $i] :
( ( ( leq @ SV323 @ SV333 )
= $false )
| ( ( leq @ n0 @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) )
= $true )
| ( ( leq @ n0 @ SV323 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2360,plain,
! [SV338: $i,SV342: $i,SV333: $i,SV323: $i] :
( ( ( leq @ SV323 @ SV333 )
= $false )
| ( ( leq @ ( sK12_SY622 @ SV323 @ SV342 @ SV338 @ SV333 ) @ SV333 )
= $true )
| ( ( leq @ n0 @ SV323 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV323 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2361,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2186,2360,2359,2356,2349,2339,2338,2332,2328,2324,2314,2301,2273,2263,2242,2240,2226,2225,2224,2223,2222,2221,2220,2219,2218,2217,2216,2215,2214,2213,2212,2211,2210,2209,2208,2207,2200,2199,2198,2197,2196,2195,2194,2193,2192,2191,2190,2189,2188,2187]) ).
thf(2362,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(2363,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(2364,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2365,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(2366,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(2367,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2368,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2369,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2370,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2371,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2372,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2373,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2374,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2375,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2376,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2377,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2378,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2379,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2380,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2381,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2382,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2383,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(2384,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(2385,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2386,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2387,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2388,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2389,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2390,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2391,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2392,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2393,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2394,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(2395,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(2396,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(2397,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2398,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2399,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2400,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2401,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2402,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2403,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2404,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2405,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2406,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2407,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2408,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2409,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
!= use )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(2410,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2388]) ).
thf(2411,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2385]) ).
thf(2412,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2384]) ).
thf(2413,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2366]) ).
thf(2414,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2365]) ).
thf(2415,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2387]) ).
thf(2416,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2363]) ).
thf(2417,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2367]) ).
thf(2418,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2386]) ).
thf(2419,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2383]) ).
thf(2420,plain,
! [SV349: $i] :
( ( ! [SY630: $i,SY631: $i,SY632: $i] :
( ( a_select3 @ ( tptp_update3 @ SV349 @ SY630 @ SY631 @ SY632 ) @ SY630 @ SY631 )
= SY632 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2362]) ).
thf(2421,plain,
! [SV350: $i] :
( ( ! [SY633: $i,SY634: $i] :
( ( a_select2 @ ( tptp_update2 @ SV350 @ SY633 @ SY634 ) @ SY633 )
= SY634 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2364]) ).
thf(2422,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2409]) ).
thf(2423,plain,
! [SV351: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV351 )
| ~ ( leq @ SV351 @ n3 ) )
| ( SV351 = n0 )
| ( SV351 = n1 )
| ( SV351 = n2 )
| ( SV351 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2424,plain,
! [SV352: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV352 )
| ~ ( leq @ SV352 @ n0 ) )
| ( SV352 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2411]) ).
thf(2425,plain,
! [SV353: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV353 )
| ~ ( leq @ SV353 @ n5 ) )
| ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 )
| ( SV353 = n4 )
| ( SV353 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2412]) ).
thf(2426,plain,
! [SV354: $i] :
( ( ! [SY635: $i,SY636: $i,SY637: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY635 ) )
| ( ( a_select2 @ SY636 @ SX4 )
= SY637 ) )
| ~ ( leq @ n0 @ SV354 ) )
| ~ ( leq @ SV354 @ SY635 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY636 @ SY635 @ SY637 ) @ SV354 )
= SY637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2413]) ).
thf(2427,plain,
! [SV355: $i] :
( ( ! [SY639: $i,SY640: $i,SY641: $i,SY642: $i] :
( ~ ~ ( ~ ( ( SV355 != SY639 ) )
| ( ( a_select2 @ SY640 @ SY639 )
!= SY641 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY640 @ SV355 @ SY642 ) @ SY639 )
= SY641 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2428,plain,
! [SV356: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV356 )
| ~ ( leq @ SV356 @ n2 ) )
| ( SV356 = n0 )
| ( SV356 = n1 )
| ( SV356 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2429,plain,
! [SV357: $i] :
( ( ! [SY643: $i,SY644: $i,SY645: $i,SY646: $i,SY647: $i,SY648: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV357 != SY644 ) )
| ( SY643 != SY645 ) )
| ( ( a_select3 @ SY646 @ SY644 @ SY645 )
!= SY647 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY646 @ SV357 @ SY643 @ SY648 ) @ SY644 @ SY645 )
= SY647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2416]) ).
thf(2430,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2431,plain,
! [SV358: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV358 )
| ~ ( leq @ SV358 @ n1 ) )
| ( SV358 = n0 )
| ( SV358 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2432,plain,
! [SV359: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV359 )
| ~ ( leq @ SV359 @ n4 ) )
| ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 )
| ( SV359 = n3 )
| ( SV359 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2419]) ).
thf(2433,plain,
! [SV360: $i,SV349: $i] :
( ( ! [SY649: $i,SY650: $i] :
( ( a_select3 @ ( tptp_update3 @ SV349 @ SV360 @ SY649 @ SY650 ) @ SV360 @ SY649 )
= SY650 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2420]) ).
thf(2434,plain,
! [SV361: $i,SV350: $i] :
( ( ! [SY651: $i] :
( ( a_select2 @ ( tptp_update2 @ SV350 @ SV361 @ SY651 ) @ SV361 )
= SY651 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2421]) ).
thf(2435,plain,
! [SV351: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV351 )
| ~ ( leq @ SV351 @ n3 ) ) )
= $true )
| ( ( ( SV351 = n0 )
| ( SV351 = n1 )
| ( SV351 = n2 )
| ( SV351 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2423]) ).
thf(2436,plain,
! [SV352: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV352 )
| ~ ( leq @ SV352 @ n0 ) ) )
= $true )
| ( ( SV352 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2424]) ).
thf(2437,plain,
! [SV353: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV353 )
| ~ ( leq @ SV353 @ n5 ) ) )
= $true )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 )
| ( SV353 = n4 )
| ( SV353 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2425]) ).
thf(2438,plain,
! [SV354: $i,SV362: $i] :
( ( ! [SY652: $i,SY653: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY654: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY654 )
| ~ ( leq @ SY654 @ SV362 ) )
| ( ( a_select2 @ SY652 @ SY654 )
= SY653 ) )
| ~ ( leq @ n0 @ SV354 ) )
| ~ ( leq @ SV354 @ SV362 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY652 @ SV362 @ SY653 ) @ SV354 )
= SY653 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2426]) ).
thf(2439,plain,
! [SV363: $i,SV355: $i] :
( ( ! [SY655: $i,SY656: $i,SY657: $i] :
( ~ ~ ( ~ ( ( SV355 != SV363 ) )
| ( ( a_select2 @ SY655 @ SV363 )
!= SY656 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY655 @ SV355 @ SY657 ) @ SV363 )
= SY656 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2427]) ).
thf(2440,plain,
! [SV356: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV356 )
| ~ ( leq @ SV356 @ n2 ) ) )
= $true )
| ( ( ( SV356 = n0 )
| ( SV356 = n1 )
| ( SV356 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2428]) ).
thf(2441,plain,
! [SV364: $i,SV357: $i] :
( ( ! [SY658: $i,SY659: $i,SY660: $i,SY661: $i,SY662: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV357 != SY658 ) )
| ( SV364 != SY659 ) )
| ( ( a_select3 @ SY660 @ SY658 @ SY659 )
!= SY661 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY660 @ SV357 @ SV364 @ SY662 ) @ SY658 @ SY659 )
= SY661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2429]) ).
thf(2442,plain,
! [SV358: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV358 )
| ~ ( leq @ SV358 @ n1 ) ) )
= $true )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2431]) ).
thf(2443,plain,
! [SV359: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV359 )
| ~ ( leq @ SV359 @ n4 ) ) )
= $true )
| ( ( ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 )
| ( SV359 = n3 )
| ( SV359 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2432]) ).
thf(2444,plain,
! [SV365: $i,SV360: $i,SV349: $i] :
( ( ! [SY663: $i] :
( ( a_select3 @ ( tptp_update3 @ SV349 @ SV360 @ SV365 @ SY663 ) @ SV360 @ SV365 )
= SY663 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2433]) ).
thf(2445,plain,
! [SV366: $i,SV361: $i,SV350: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV350 @ SV361 @ SV366 ) @ SV361 )
= SV366 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2446,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV351 )
| ~ ( leq @ SV351 @ n3 ) ) )
= $false )
| ( ( ( SV351 = n0 )
| ( SV351 = n1 )
| ( SV351 = n2 )
| ( SV351 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2435]) ).
thf(2447,plain,
! [SV352: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV352 )
| ~ ( leq @ SV352 @ n0 ) ) )
= $false )
| ( ( SV352 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2436]) ).
thf(2448,plain,
! [SV353: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV353 )
| ~ ( leq @ SV353 @ n5 ) ) )
= $false )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 )
| ( SV353 = n4 )
| ( SV353 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2437]) ).
thf(2449,plain,
! [SV354: $i,SV367: $i,SV362: $i] :
( ( ! [SY664: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY665: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY665 )
| ~ ( leq @ SY665 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY665 )
= SY664 ) )
| ~ ( leq @ n0 @ SV354 ) )
| ~ ( leq @ SV354 @ SV362 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SY664 ) @ SV354 )
= SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2438]) ).
thf(2450,plain,
! [SV368: $i,SV363: $i,SV355: $i] :
( ( ! [SY666: $i,SY667: $i] :
( ~ ~ ( ~ ( ( SV355 != SV363 ) )
| ( ( a_select2 @ SV368 @ SV363 )
!= SY666 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SY667 ) @ SV363 )
= SY666 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2439]) ).
thf(2451,plain,
! [SV356: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV356 )
| ~ ( leq @ SV356 @ n2 ) ) )
= $false )
| ( ( ( SV356 = n0 )
| ( SV356 = n1 )
| ( SV356 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2452,plain,
! [SV364: $i,SV369: $i,SV357: $i] :
( ( ! [SY668: $i,SY669: $i,SY670: $i,SY671: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SY668 ) )
| ( ( a_select3 @ SY669 @ SV369 @ SY668 )
!= SY670 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY669 @ SV357 @ SV364 @ SY671 ) @ SV369 @ SY668 )
= SY670 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2441]) ).
thf(2453,plain,
! [SV358: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV358 )
| ~ ( leq @ SV358 @ n1 ) ) )
= $false )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2454,plain,
! [SV359: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV359 )
| ~ ( leq @ SV359 @ n4 ) ) )
= $false )
| ( ( ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 )
| ( SV359 = n3 )
| ( SV359 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2455,plain,
! [SV370: $i,SV365: $i,SV360: $i,SV349: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV349 @ SV360 @ SV365 @ SV370 ) @ SV360 @ SV365 )
= SV370 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2444]) ).
thf(2456,plain,
! [SV351: $i] :
( ( ( ~ ( leq @ n0 @ SV351 )
| ~ ( leq @ SV351 @ n3 ) )
= $true )
| ( ( ( SV351 = n0 )
| ( SV351 = n1 )
| ( SV351 = n2 )
| ( SV351 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2446]) ).
thf(2457,plain,
! [SV352: $i] :
( ( ( ~ ( leq @ n0 @ SV352 )
| ~ ( leq @ SV352 @ n0 ) )
= $true )
| ( ( SV352 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2447]) ).
thf(2458,plain,
! [SV353: $i] :
( ( ( ~ ( leq @ n0 @ SV353 )
| ~ ( leq @ SV353 @ n5 ) )
= $true )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 )
| ( SV353 = n4 )
| ( SV353 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2448]) ).
thf(2459,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) )
| ~ ( leq @ n0 @ SV354 ) )
| ~ ( leq @ SV354 @ SV362 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2449]) ).
thf(2460,plain,
! [SV372: $i,SV368: $i,SV363: $i,SV355: $i] :
( ( ! [SY673: $i] :
( ~ ~ ( ~ ( ( SV355 != SV363 ) )
| ( ( a_select2 @ SV368 @ SV363 )
!= SV372 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SY673 ) @ SV363 )
= SV372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2461,plain,
! [SV356: $i] :
( ( ( ~ ( leq @ n0 @ SV356 )
| ~ ( leq @ SV356 @ n2 ) )
= $true )
| ( ( ( SV356 = n0 )
| ( SV356 = n1 )
| ( SV356 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2451]) ).
thf(2462,plain,
! [SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ! [SY674: $i,SY675: $i,SY676: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SY674 @ SV369 @ SV373 )
!= SY675 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY674 @ SV357 @ SV364 @ SY676 ) @ SV369 @ SV373 )
= SY675 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2452]) ).
thf(2463,plain,
! [SV358: $i] :
( ( ( ~ ( leq @ n0 @ SV358 )
| ~ ( leq @ SV358 @ n1 ) )
= $true )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2453]) ).
thf(2464,plain,
! [SV359: $i] :
( ( ( ~ ( leq @ n0 @ SV359 )
| ~ ( leq @ SV359 @ n4 ) )
= $true )
| ( ( ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 )
| ( SV359 = n3 )
| ( SV359 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2454]) ).
thf(2465,plain,
! [SV351: $i] :
( ( ( ~ ( leq @ n0 @ SV351 ) )
= $true )
| ( ( ~ ( leq @ SV351 @ n3 ) )
= $true )
| ( ( ( SV351 = n0 )
| ( SV351 = n1 )
| ( SV351 = n2 )
| ( SV351 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2456]) ).
thf(2466,plain,
! [SV352: $i] :
( ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ n0 ) )
= $true )
| ( ( SV352 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2457]) ).
thf(2467,plain,
! [SV353: $i] :
( ( ( ~ ( leq @ n0 @ SV353 ) )
= $true )
| ( ( ~ ( leq @ SV353 @ n5 ) )
= $true )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 )
| ( SV353 = n4 )
| ( SV353 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2458]) ).
thf(2468,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) )
| ~ ( leq @ n0 @ SV354 ) )
| ~ ( leq @ SV354 @ SV362 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2459]) ).
thf(2469,plain,
! [SV374: $i,SV372: $i,SV368: $i,SV363: $i,SV355: $i] :
( ( ~ ~ ( ~ ( ( SV355 != SV363 ) )
| ( ( a_select2 @ SV368 @ SV363 )
!= SV372 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SV374 ) @ SV363 )
= SV372 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2460]) ).
thf(2470,plain,
! [SV356: $i] :
( ( ( ~ ( leq @ n0 @ SV356 ) )
= $true )
| ( ( ~ ( leq @ SV356 @ n2 ) )
= $true )
| ( ( ( SV356 = n0 )
| ( SV356 = n1 )
| ( SV356 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2471,plain,
! [SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ! [SY677: $i,SY678: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SY677 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SY678 ) @ SV369 @ SV373 )
= SY677 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2462]) ).
thf(2472,plain,
! [SV358: $i] :
( ( ( ~ ( leq @ n0 @ SV358 ) )
= $true )
| ( ( ~ ( leq @ SV358 @ n1 ) )
= $true )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2463]) ).
thf(2473,plain,
! [SV359: $i] :
( ( ( ~ ( leq @ n0 @ SV359 ) )
= $true )
| ( ( ~ ( leq @ SV359 @ n4 ) )
= $true )
| ( ( ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 )
| ( SV359 = n3 )
| ( SV359 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2464]) ).
thf(2474,plain,
! [SV351: $i] :
( ( ( leq @ n0 @ SV351 )
= $false )
| ( ( ~ ( leq @ SV351 @ n3 ) )
= $true )
| ( ( ( SV351 = n0 )
| ( SV351 = n1 )
| ( SV351 = n2 )
| ( SV351 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2465]) ).
thf(2475,plain,
! [SV352: $i] :
( ( ( leq @ n0 @ SV352 )
= $false )
| ( ( ~ ( leq @ SV352 @ n0 ) )
= $true )
| ( ( SV352 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2466]) ).
thf(2476,plain,
! [SV353: $i] :
( ( ( leq @ n0 @ SV353 )
= $false )
| ( ( ~ ( leq @ SV353 @ n5 ) )
= $true )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 )
| ( SV353 = n4 )
| ( SV353 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2477,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) )
| ~ ( leq @ n0 @ SV354 ) )
| ~ ( leq @ SV354 @ SV362 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2478,plain,
! [SV374: $i,SV372: $i,SV368: $i,SV363: $i,SV355: $i] :
( ( ( ~ ~ ( ~ ( ( SV355 != SV363 ) )
| ( ( a_select2 @ SV368 @ SV363 )
!= SV372 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SV374 ) @ SV363 )
= SV372 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2469]) ).
thf(2479,plain,
! [SV356: $i] :
( ( ( leq @ n0 @ SV356 )
= $false )
| ( ( ~ ( leq @ SV356 @ n2 ) )
= $true )
| ( ( ( SV356 = n0 )
| ( SV356 = n1 )
| ( SV356 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2470]) ).
thf(2480,plain,
! [SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ! [SY679: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SY679 ) @ SV369 @ SV373 )
= SV376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2471]) ).
thf(2481,plain,
! [SV358: $i] :
( ( ( leq @ n0 @ SV358 )
= $false )
| ( ( ~ ( leq @ SV358 @ n1 ) )
= $true )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2482,plain,
! [SV359: $i] :
( ( ( leq @ n0 @ SV359 )
= $false )
| ( ( ~ ( leq @ SV359 @ n4 ) )
= $true )
| ( ( ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 )
| ( SV359 = n3 )
| ( SV359 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2483,plain,
! [SV351: $i] :
( ( ( leq @ SV351 @ n3 )
= $false )
| ( ( leq @ n0 @ SV351 )
= $false )
| ( ( ( SV351 = n0 )
| ( SV351 = n1 )
| ( SV351 = n2 )
| ( SV351 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2484,plain,
! [SV352: $i] :
( ( ( leq @ SV352 @ n0 )
= $false )
| ( ( leq @ n0 @ SV352 )
= $false )
| ( ( SV352 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2485,plain,
! [SV353: $i] :
( ( ( leq @ SV353 @ n5 )
= $false )
| ( ( leq @ n0 @ SV353 )
= $false )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 )
| ( SV353 = n4 )
| ( SV353 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2486,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ( ~ ~ ( ~ ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) )
| ~ ( leq @ n0 @ SV354 ) )
| ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2477]) ).
thf(2487,plain,
! [SV374: $i,SV372: $i,SV368: $i,SV363: $i,SV355: $i] :
( ( ( ~ ( ~ ( ( SV355 != SV363 ) )
| ( ( a_select2 @ SV368 @ SV363 )
!= SV372 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SV374 ) @ SV363 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2478]) ).
thf(2488,plain,
! [SV356: $i] :
( ( ( leq @ SV356 @ n2 )
= $false )
| ( ( leq @ n0 @ SV356 )
= $false )
| ( ( ( SV356 = n0 )
| ( SV356 = n1 )
| ( SV356 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2489,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2480]) ).
thf(2490,plain,
! [SV358: $i] :
( ( ( leq @ SV358 @ n1 )
= $false )
| ( ( leq @ n0 @ SV358 )
= $false )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2481]) ).
thf(2491,plain,
! [SV359: $i] :
( ( ( leq @ SV359 @ n4 )
= $false )
| ( ( leq @ n0 @ SV359 )
= $false )
| ( ( ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 )
| ( SV359 = n3 )
| ( SV359 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2482]) ).
thf(2492,plain,
! [SV351: $i] :
( ( ( ( SV351 = n0 )
| ( SV351 = n1 )
| ( SV351 = n2 ) )
= $true )
| ( ( SV351 = n3 )
= $true )
| ( ( leq @ n0 @ SV351 )
= $false )
| ( ( leq @ SV351 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2483]) ).
thf(2493,plain,
! [SV353: $i] :
( ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 )
| ( SV353 = n4 ) )
= $true )
| ( ( SV353 = n5 )
= $true )
| ( ( leq @ n0 @ SV353 )
= $false )
| ( ( leq @ SV353 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2485]) ).
thf(2494,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ( ~ ~ ( ~ ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) )
| ~ ( leq @ n0 @ SV354 ) ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2486]) ).
thf(2495,plain,
! [SV374: $i,SV372: $i,SV368: $i,SV363: $i,SV355: $i] :
( ( ( ~ ( ( SV355 != SV363 ) )
| ( ( a_select2 @ SV368 @ SV363 )
!= SV372 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SV374 ) @ SV363 )
= SV372 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2487]) ).
thf(2496,plain,
! [SV356: $i] :
( ( ( ( SV356 = n0 )
| ( SV356 = n1 ) )
= $true )
| ( ( SV356 = n2 )
= $true )
| ( ( leq @ n0 @ SV356 )
= $false )
| ( ( leq @ SV356 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2488]) ).
thf(2497,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2489]) ).
thf(2498,plain,
! [SV358: $i] :
( ( ( SV358 = n0 )
= $true )
| ( ( SV358 = n1 )
= $true )
| ( ( leq @ n0 @ SV358 )
= $false )
| ( ( leq @ SV358 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2490]) ).
thf(2499,plain,
! [SV359: $i] :
( ( ( ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 )
| ( SV359 = n3 ) )
= $true )
| ( ( SV359 = n4 )
= $true )
| ( ( leq @ n0 @ SV359 )
= $false )
| ( ( leq @ SV359 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2491]) ).
thf(2500,plain,
! [SV351: $i] :
( ( ( ( SV351 = n0 )
| ( SV351 = n1 ) )
= $true )
| ( ( SV351 = n2 )
= $true )
| ( ( SV351 = n3 )
= $true )
| ( ( leq @ n0 @ SV351 )
= $false )
| ( ( leq @ SV351 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2492]) ).
thf(2501,plain,
! [SV353: $i] :
( ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 )
| ( SV353 = n3 ) )
= $true )
| ( ( SV353 = n4 )
= $true )
| ( ( SV353 = n5 )
= $true )
| ( ( leq @ n0 @ SV353 )
= $false )
| ( ( leq @ SV353 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2493]) ).
thf(2502,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ( ~ ( ~ ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) )
| ~ ( leq @ n0 @ SV354 ) ) )
= $false )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2494]) ).
thf(2503,plain,
! [SV374: $i,SV372: $i,SV368: $i,SV363: $i,SV355: $i] :
( ( ( ~ ( ( SV355 != SV363 ) ) )
= $true )
| ( ( ( a_select2 @ SV368 @ SV363 )
!= SV372 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SV374 ) @ SV363 )
= SV372 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2495]) ).
thf(2504,plain,
! [SV356: $i] :
( ( ( SV356 = n0 )
= $true )
| ( ( SV356 = n1 )
= $true )
| ( ( SV356 = n2 )
= $true )
| ( ( leq @ n0 @ SV356 )
= $false )
| ( ( leq @ SV356 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2496]) ).
thf(2505,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2497]) ).
thf(2506,plain,
! [SV359: $i] :
( ( ( ( SV359 = n0 )
| ( SV359 = n1 )
| ( SV359 = n2 ) )
= $true )
| ( ( SV359 = n3 )
= $true )
| ( ( SV359 = n4 )
= $true )
| ( ( leq @ n0 @ SV359 )
= $false )
| ( ( leq @ SV359 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2499]) ).
thf(2507,plain,
! [SV351: $i] :
( ( ( SV351 = n0 )
= $true )
| ( ( SV351 = n1 )
= $true )
| ( ( SV351 = n2 )
= $true )
| ( ( SV351 = n3 )
= $true )
| ( ( leq @ n0 @ SV351 )
= $false )
| ( ( leq @ SV351 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2500]) ).
thf(2508,plain,
! [SV353: $i] :
( ( ( ( SV353 = n0 )
| ( SV353 = n1 )
| ( SV353 = n2 ) )
= $true )
| ( ( SV353 = n3 )
= $true )
| ( ( SV353 = n4 )
= $true )
| ( ( SV353 = n5 )
= $true )
| ( ( leq @ n0 @ SV353 )
= $false )
| ( ( leq @ SV353 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2501]) ).
thf(2509,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ( ~ ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) )
| ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2510,plain,
! [SV374: $i,SV372: $i,SV368: $i,SV363: $i,SV355: $i] :
( ( ( SV355 != SV363 )
= $false )
| ( ( ( a_select2 @ SV368 @ SV363 )
!= SV372 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SV374 ) @ SV363 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2503]) ).
thf(2511,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2505]) ).
thf(2512,plain,
! [SV359: $i] :
( ( ( ( SV359 = n0 )
| ( SV359 = n1 ) )
= $true )
| ( ( SV359 = n2 )
= $true )
| ( ( SV359 = n3 )
= $true )
| ( ( SV359 = n4 )
= $true )
| ( ( leq @ n0 @ SV359 )
= $false )
| ( ( leq @ SV359 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2506]) ).
thf(2513,plain,
! [SV353: $i] :
( ( ( ( SV353 = n0 )
| ( SV353 = n1 ) )
= $true )
| ( ( SV353 = n2 )
= $true )
| ( ( SV353 = n3 )
= $true )
| ( ( SV353 = n4 )
= $true )
| ( ( SV353 = n5 )
= $true )
| ( ( leq @ n0 @ SV353 )
= $false )
| ( ( leq @ SV353 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2508]) ).
thf(2514,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ( ~ ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2509]) ).
thf(2515,plain,
! [SV374: $i,SV372: $i,SV368: $i,SV363: $i,SV355: $i] :
( ( ( SV355 = SV363 )
= $true )
| ( ( ( a_select2 @ SV368 @ SV363 )
!= SV372 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SV374 ) @ SV363 )
= SV372 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2510]) ).
thf(2516,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( ~ ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) ) )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2511]) ).
thf(2517,plain,
! [SV359: $i] :
( ( ( SV359 = n0 )
= $true )
| ( ( SV359 = n1 )
= $true )
| ( ( SV359 = n2 )
= $true )
| ( ( SV359 = n3 )
= $true )
| ( ( SV359 = n4 )
= $true )
| ( ( leq @ n0 @ SV359 )
= $false )
| ( ( leq @ SV359 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2512]) ).
thf(2518,plain,
! [SV353: $i] :
( ( ( SV353 = n0 )
= $true )
| ( ( SV353 = n1 )
= $true )
| ( ( SV353 = n2 )
= $true )
| ( ( SV353 = n3 )
= $true )
| ( ( SV353 = n4 )
= $true )
| ( ( SV353 = n5 )
= $true )
| ( ( leq @ n0 @ SV353 )
= $false )
| ( ( leq @ SV353 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2513]) ).
thf(2519,plain,
! [SV354: $i,SV371: $i,SV367: $i,SV362: $i] :
( ( ( ! [SY672: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY672 )
| ~ ( leq @ SY672 @ SV362 ) )
| ( ( a_select2 @ SV367 @ SY672 )
= SV371 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2514]) ).
thf(2520,plain,
! [SV374: $i,SV355: $i,SV372: $i,SV363: $i,SV368: $i] :
( ( ( ( a_select2 @ SV368 @ SV363 )
= SV372 )
= $false )
| ( ( SV355 = SV363 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV355 @ SV374 ) @ SV363 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2515]) ).
thf(2521,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( ~ ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) ) )
= $false )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2516]) ).
thf(2522,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
| ~ ( leq @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) @ SV362 ) )
| ( ( a_select2 @ SV367 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
= SV371 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2519]) ).
thf(2523,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( ~ ( ( SV357 != SV369 ) )
| ( SV364 != SV373 ) )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2521]) ).
thf(2524,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
| ~ ( leq @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) @ SV362 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2522]) ).
thf(2525,plain,
! [SV362: $i,SV371: $i,SV354: $i,SV367: $i] :
( ( ( ( a_select2 @ SV367 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
= SV371 )
= $false )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2522]) ).
thf(2526,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( ~ ( ( SV357 != SV369 ) ) )
= $true )
| ( ( SV364 != SV373 )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2523]) ).
thf(2527,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
| ~ ( leq @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) @ SV362 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2524]) ).
thf(2528,plain,
! [SV362: $i,SV371: $i,SV367: $i,SV354: $i] :
( ( ( leq @ n0 @ SV354 )
= $false )
| ( ( ( a_select2 @ SV367 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
= SV371 )
= $false )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2525]) ).
thf(2529,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( SV357 != SV369 )
= $false )
| ( ( SV364 != SV373 )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2526]) ).
thf(2530,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( ~ ( leq @ n0 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
| ~ ( leq @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) @ SV362 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2527]) ).
thf(2531,plain,
! [SV371: $i,SV367: $i,SV362: $i,SV354: $i] :
( ( ( leq @ SV354 @ SV362 )
= $false )
| ( ( ( a_select2 @ SV367 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
= SV371 )
= $false )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2528]) ).
thf(2532,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV357: $i] :
( ( ( SV357 = SV369 )
= $true )
| ( ( SV364 != SV373 )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2529]) ).
thf(2533,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( ~ ( leq @ n0 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2530]) ).
thf(2534,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( ~ ( leq @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) @ SV362 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2530]) ).
thf(2535,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV369: $i,SV357: $i,SV373: $i,SV364: $i] :
( ( ( SV364 = SV373 )
= $false )
| ( ( SV357 = SV369 )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2532]) ).
thf(2536,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( leq @ n0 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2533]) ).
thf(2537,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( leq @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) @ SV362 )
= $true )
| ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2534]) ).
thf(2538,plain,
! [SV377: $i,SV364: $i,SV357: $i,SV376: $i,SV373: $i,SV369: $i,SV375: $i] :
( ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
= SV376 )
= $false )
| ( ( SV357 = SV369 )
= $true )
| ( ( SV364 = SV373 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV357 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2535]) ).
thf(2539,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( leq @ n0 @ SV354 )
= $false )
| ( ( leq @ n0 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2536]) ).
thf(2540,plain,
! [SV362: $i,SV367: $i,SV371: $i,SV354: $i] :
( ( ( leq @ n0 @ SV354 )
= $false )
| ( ( leq @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) @ SV362 )
= $true )
| ( ( ~ ( leq @ SV354 @ SV362 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2537]) ).
thf(2541,plain,
! [SV367: $i,SV371: $i,SV362: $i,SV354: $i] :
( ( ( leq @ SV354 @ SV362 )
= $false )
| ( ( leq @ n0 @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) )
= $true )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2539]) ).
thf(2542,plain,
! [SV367: $i,SV371: $i,SV362: $i,SV354: $i] :
( ( ( leq @ SV354 @ SV362 )
= $false )
| ( ( leq @ ( sK13_SY672 @ SV354 @ SV371 @ SV367 @ SV362 ) @ SV362 )
= $true )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV362 @ SV371 ) @ SV354 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2540]) ).
thf(2543,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2368,2542,2541,2538,2531,2520,2518,2517,2507,2504,2498,2484,2455,2445,2430,2422,2408,2407,2406,2405,2404,2403,2402,2401,2400,2399,2398,2397,2396,2395,2394,2393,2392,2391,2390,2389,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369]) ).
thf(2544,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(2545,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(2546,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2547,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(2548,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(2549,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2550,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2551,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2552,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2553,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2554,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2555,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2556,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2557,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2558,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2559,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2560,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2561,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2562,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2563,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2564,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2565,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(2566,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(2567,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2568,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2569,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2570,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2571,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2572,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2573,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2574,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2575,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2576,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(2577,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(2578,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(2579,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2580,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2581,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2582,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2583,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2584,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2585,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2586,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2587,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2588,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2589,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2590,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2591,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
!= use )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(2592,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2567]) ).
thf(2593,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2547]) ).
thf(2594,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2570]) ).
thf(2595,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2568]) ).
thf(2596,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2569]) ).
thf(2597,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2566]) ).
thf(2598,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2548]) ).
thf(2599,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2545]) ).
thf(2600,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2549]) ).
thf(2601,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2565]) ).
thf(2602,plain,
! [SV378: $i] :
( ( ! [SY680: $i,SY681: $i,SY682: $i] :
( ( a_select3 @ ( tptp_update3 @ SV378 @ SY680 @ SY681 @ SY682 ) @ SY680 @ SY681 )
= SY682 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2544]) ).
thf(2603,plain,
! [SV379: $i] :
( ( ! [SY683: $i,SY684: $i] :
( ( a_select2 @ ( tptp_update2 @ SV379 @ SY683 @ SY684 ) @ SY683 )
= SY684 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(2604,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2591]) ).
thf(2605,plain,
! [SV380: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV380 )
| ~ ( leq @ SV380 @ n0 ) )
| ( SV380 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2592]) ).
thf(2606,plain,
! [SV381: $i] :
( ( ! [SY685: $i,SY686: $i,SY687: $i,SY688: $i] :
( ~ ~ ( ~ ( ( SV381 != SY685 ) )
| ( ( a_select2 @ SY686 @ SY685 )
!= SY687 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY686 @ SV381 @ SY688 ) @ SY685 )
= SY687 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(2607,plain,
! [SV382: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV382 )
| ~ ( leq @ SV382 @ n3 ) )
| ( SV382 = n0 )
| ( SV382 = n1 )
| ( SV382 = n2 )
| ( SV382 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2594]) ).
thf(2608,plain,
! [SV383: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV383 )
| ~ ( leq @ SV383 @ n1 ) )
| ( SV383 = n0 )
| ( SV383 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(2609,plain,
! [SV384: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV384 )
| ~ ( leq @ SV384 @ n2 ) )
| ( SV384 = n0 )
| ( SV384 = n1 )
| ( SV384 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(2610,plain,
! [SV385: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV385 )
| ~ ( leq @ SV385 @ n5 ) )
| ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 )
| ( SV385 = n4 )
| ( SV385 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2597]) ).
thf(2611,plain,
! [SV386: $i] :
( ( ! [SY689: $i,SY690: $i,SY691: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY689 ) )
| ( ( a_select2 @ SY690 @ SX4 )
= SY691 ) )
| ~ ( leq @ n0 @ SV386 ) )
| ~ ( leq @ SV386 @ SY689 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY690 @ SY689 @ SY691 ) @ SV386 )
= SY691 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2598]) ).
thf(2612,plain,
! [SV387: $i] :
( ( ! [SY693: $i,SY694: $i,SY695: $i,SY696: $i,SY697: $i,SY698: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV387 != SY694 ) )
| ( SY693 != SY695 ) )
| ( ( a_select3 @ SY696 @ SY694 @ SY695 )
!= SY697 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY696 @ SV387 @ SY693 @ SY698 ) @ SY694 @ SY695 )
= SY697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2599]) ).
thf(2613,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2600]) ).
thf(2614,plain,
! [SV388: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV388 )
| ~ ( leq @ SV388 @ n4 ) )
| ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 )
| ( SV388 = n3 )
| ( SV388 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(2615,plain,
! [SV389: $i,SV378: $i] :
( ( ! [SY699: $i,SY700: $i] :
( ( a_select3 @ ( tptp_update3 @ SV378 @ SV389 @ SY699 @ SY700 ) @ SV389 @ SY699 )
= SY700 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2602]) ).
thf(2616,plain,
! [SV390: $i,SV379: $i] :
( ( ! [SY701: $i] :
( ( a_select2 @ ( tptp_update2 @ SV379 @ SV390 @ SY701 ) @ SV390 )
= SY701 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2603]) ).
thf(2617,plain,
! [SV380: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV380 )
| ~ ( leq @ SV380 @ n0 ) ) )
= $true )
| ( ( SV380 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2605]) ).
thf(2618,plain,
! [SV391: $i,SV381: $i] :
( ( ! [SY702: $i,SY703: $i,SY704: $i] :
( ~ ~ ( ~ ( ( SV381 != SV391 ) )
| ( ( a_select2 @ SY702 @ SV391 )
!= SY703 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY702 @ SV381 @ SY704 ) @ SV391 )
= SY703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2606]) ).
thf(2619,plain,
! [SV382: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV382 )
| ~ ( leq @ SV382 @ n3 ) ) )
= $true )
| ( ( ( SV382 = n0 )
| ( SV382 = n1 )
| ( SV382 = n2 )
| ( SV382 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2607]) ).
thf(2620,plain,
! [SV383: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV383 )
| ~ ( leq @ SV383 @ n1 ) ) )
= $true )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2608]) ).
thf(2621,plain,
! [SV384: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV384 )
| ~ ( leq @ SV384 @ n2 ) ) )
= $true )
| ( ( ( SV384 = n0 )
| ( SV384 = n1 )
| ( SV384 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2609]) ).
thf(2622,plain,
! [SV385: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV385 )
| ~ ( leq @ SV385 @ n5 ) ) )
= $true )
| ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 )
| ( SV385 = n4 )
| ( SV385 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2610]) ).
thf(2623,plain,
! [SV386: $i,SV392: $i] :
( ( ! [SY705: $i,SY706: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY707: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY707 )
| ~ ( leq @ SY707 @ SV392 ) )
| ( ( a_select2 @ SY705 @ SY707 )
= SY706 ) )
| ~ ( leq @ n0 @ SV386 ) )
| ~ ( leq @ SV386 @ SV392 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY705 @ SV392 @ SY706 ) @ SV386 )
= SY706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(2624,plain,
! [SV393: $i,SV387: $i] :
( ( ! [SY708: $i,SY709: $i,SY710: $i,SY711: $i,SY712: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV387 != SY708 ) )
| ( SV393 != SY709 ) )
| ( ( a_select3 @ SY710 @ SY708 @ SY709 )
!= SY711 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY710 @ SV387 @ SV393 @ SY712 ) @ SY708 @ SY709 )
= SY711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2612]) ).
thf(2625,plain,
! [SV388: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV388 )
| ~ ( leq @ SV388 @ n4 ) ) )
= $true )
| ( ( ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 )
| ( SV388 = n3 )
| ( SV388 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2614]) ).
thf(2626,plain,
! [SV394: $i,SV389: $i,SV378: $i] :
( ( ! [SY713: $i] :
( ( a_select3 @ ( tptp_update3 @ SV378 @ SV389 @ SV394 @ SY713 ) @ SV389 @ SV394 )
= SY713 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2615]) ).
thf(2627,plain,
! [SV395: $i,SV390: $i,SV379: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV379 @ SV390 @ SV395 ) @ SV390 )
= SV395 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2616]) ).
thf(2628,plain,
! [SV380: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV380 )
| ~ ( leq @ SV380 @ n0 ) ) )
= $false )
| ( ( SV380 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2617]) ).
thf(2629,plain,
! [SV396: $i,SV391: $i,SV381: $i] :
( ( ! [SY714: $i,SY715: $i] :
( ~ ~ ( ~ ( ( SV381 != SV391 ) )
| ( ( a_select2 @ SV396 @ SV391 )
!= SY714 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SY715 ) @ SV391 )
= SY714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2618]) ).
thf(2630,plain,
! [SV382: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV382 )
| ~ ( leq @ SV382 @ n3 ) ) )
= $false )
| ( ( ( SV382 = n0 )
| ( SV382 = n1 )
| ( SV382 = n2 )
| ( SV382 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2619]) ).
thf(2631,plain,
! [SV383: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV383 )
| ~ ( leq @ SV383 @ n1 ) ) )
= $false )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2620]) ).
thf(2632,plain,
! [SV384: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV384 )
| ~ ( leq @ SV384 @ n2 ) ) )
= $false )
| ( ( ( SV384 = n0 )
| ( SV384 = n1 )
| ( SV384 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2621]) ).
thf(2633,plain,
! [SV385: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV385 )
| ~ ( leq @ SV385 @ n5 ) ) )
= $false )
| ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 )
| ( SV385 = n4 )
| ( SV385 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2622]) ).
thf(2634,plain,
! [SV386: $i,SV397: $i,SV392: $i] :
( ( ! [SY716: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY717: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY717 )
| ~ ( leq @ SY717 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY717 )
= SY716 ) )
| ~ ( leq @ n0 @ SV386 ) )
| ~ ( leq @ SV386 @ SV392 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SY716 ) @ SV386 )
= SY716 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2623]) ).
thf(2635,plain,
! [SV393: $i,SV398: $i,SV387: $i] :
( ( ! [SY718: $i,SY719: $i,SY720: $i,SY721: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SY718 ) )
| ( ( a_select3 @ SY719 @ SV398 @ SY718 )
!= SY720 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY719 @ SV387 @ SV393 @ SY721 ) @ SV398 @ SY718 )
= SY720 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2624]) ).
thf(2636,plain,
! [SV388: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV388 )
| ~ ( leq @ SV388 @ n4 ) ) )
= $false )
| ( ( ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 )
| ( SV388 = n3 )
| ( SV388 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2625]) ).
thf(2637,plain,
! [SV399: $i,SV394: $i,SV389: $i,SV378: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV378 @ SV389 @ SV394 @ SV399 ) @ SV389 @ SV394 )
= SV399 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(2638,plain,
! [SV380: $i] :
( ( ( ~ ( leq @ n0 @ SV380 )
| ~ ( leq @ SV380 @ n0 ) )
= $true )
| ( ( SV380 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2628]) ).
thf(2639,plain,
! [SV400: $i,SV396: $i,SV391: $i,SV381: $i] :
( ( ! [SY722: $i] :
( ~ ~ ( ~ ( ( SV381 != SV391 ) )
| ( ( a_select2 @ SV396 @ SV391 )
!= SV400 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SY722 ) @ SV391 )
= SV400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(2640,plain,
! [SV382: $i] :
( ( ( ~ ( leq @ n0 @ SV382 )
| ~ ( leq @ SV382 @ n3 ) )
= $true )
| ( ( ( SV382 = n0 )
| ( SV382 = n1 )
| ( SV382 = n2 )
| ( SV382 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2630]) ).
thf(2641,plain,
! [SV383: $i] :
( ( ( ~ ( leq @ n0 @ SV383 )
| ~ ( leq @ SV383 @ n1 ) )
= $true )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2631]) ).
thf(2642,plain,
! [SV384: $i] :
( ( ( ~ ( leq @ n0 @ SV384 )
| ~ ( leq @ SV384 @ n2 ) )
= $true )
| ( ( ( SV384 = n0 )
| ( SV384 = n1 )
| ( SV384 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2632]) ).
thf(2643,plain,
! [SV385: $i] :
( ( ( ~ ( leq @ n0 @ SV385 )
| ~ ( leq @ SV385 @ n5 ) )
= $true )
| ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 )
| ( SV385 = n4 )
| ( SV385 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2644,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) )
| ~ ( leq @ n0 @ SV386 ) )
| ~ ( leq @ SV386 @ SV392 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(2645,plain,
! [SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ! [SY724: $i,SY725: $i,SY726: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) )
| ( ( a_select3 @ SY724 @ SV398 @ SV402 )
!= SY725 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY724 @ SV387 @ SV393 @ SY726 ) @ SV398 @ SV402 )
= SY725 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(2646,plain,
! [SV388: $i] :
( ( ( ~ ( leq @ n0 @ SV388 )
| ~ ( leq @ SV388 @ n4 ) )
= $true )
| ( ( ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 )
| ( SV388 = n3 )
| ( SV388 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2647,plain,
! [SV380: $i] :
( ( ( ~ ( leq @ n0 @ SV380 ) )
= $true )
| ( ( ~ ( leq @ SV380 @ n0 ) )
= $true )
| ( ( SV380 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2638]) ).
thf(2648,plain,
! [SV403: $i,SV400: $i,SV396: $i,SV391: $i,SV381: $i] :
( ( ~ ~ ( ~ ( ( SV381 != SV391 ) )
| ( ( a_select2 @ SV396 @ SV391 )
!= SV400 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SV403 ) @ SV391 )
= SV400 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2639]) ).
thf(2649,plain,
! [SV382: $i] :
( ( ( ~ ( leq @ n0 @ SV382 ) )
= $true )
| ( ( ~ ( leq @ SV382 @ n3 ) )
= $true )
| ( ( ( SV382 = n0 )
| ( SV382 = n1 )
| ( SV382 = n2 )
| ( SV382 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2640]) ).
thf(2650,plain,
! [SV383: $i] :
( ( ( ~ ( leq @ n0 @ SV383 ) )
= $true )
| ( ( ~ ( leq @ SV383 @ n1 ) )
= $true )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2641]) ).
thf(2651,plain,
! [SV384: $i] :
( ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ n2 ) )
= $true )
| ( ( ( SV384 = n0 )
| ( SV384 = n1 )
| ( SV384 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2642]) ).
thf(2652,plain,
! [SV385: $i] :
( ( ( ~ ( leq @ n0 @ SV385 ) )
= $true )
| ( ( ~ ( leq @ SV385 @ n5 ) )
= $true )
| ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 )
| ( SV385 = n4 )
| ( SV385 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2643]) ).
thf(2653,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) )
| ~ ( leq @ n0 @ SV386 ) )
| ~ ( leq @ SV386 @ SV392 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2644]) ).
thf(2654,plain,
! [SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ! [SY727: $i,SY728: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) )
| ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SY727 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SY728 ) @ SV398 @ SV402 )
= SY727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2645]) ).
thf(2655,plain,
! [SV388: $i] :
( ( ( ~ ( leq @ n0 @ SV388 ) )
= $true )
| ( ( ~ ( leq @ SV388 @ n4 ) )
= $true )
| ( ( ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 )
| ( SV388 = n3 )
| ( SV388 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2646]) ).
thf(2656,plain,
! [SV380: $i] :
( ( ( leq @ n0 @ SV380 )
= $false )
| ( ( ~ ( leq @ SV380 @ n0 ) )
= $true )
| ( ( SV380 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2647]) ).
thf(2657,plain,
! [SV403: $i,SV400: $i,SV396: $i,SV391: $i,SV381: $i] :
( ( ( ~ ~ ( ~ ( ( SV381 != SV391 ) )
| ( ( a_select2 @ SV396 @ SV391 )
!= SV400 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SV403 ) @ SV391 )
= SV400 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2648]) ).
thf(2658,plain,
! [SV382: $i] :
( ( ( leq @ n0 @ SV382 )
= $false )
| ( ( ~ ( leq @ SV382 @ n3 ) )
= $true )
| ( ( ( SV382 = n0 )
| ( SV382 = n1 )
| ( SV382 = n2 )
| ( SV382 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2649]) ).
thf(2659,plain,
! [SV383: $i] :
( ( ( leq @ n0 @ SV383 )
= $false )
| ( ( ~ ( leq @ SV383 @ n1 ) )
= $true )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2650]) ).
thf(2660,plain,
! [SV384: $i] :
( ( ( leq @ n0 @ SV384 )
= $false )
| ( ( ~ ( leq @ SV384 @ n2 ) )
= $true )
| ( ( ( SV384 = n0 )
| ( SV384 = n1 )
| ( SV384 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2651]) ).
thf(2661,plain,
! [SV385: $i] :
( ( ( leq @ n0 @ SV385 )
= $false )
| ( ( ~ ( leq @ SV385 @ n5 ) )
= $true )
| ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 )
| ( SV385 = n4 )
| ( SV385 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2652]) ).
thf(2662,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) )
| ~ ( leq @ n0 @ SV386 ) )
| ~ ( leq @ SV386 @ SV392 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2653]) ).
thf(2663,plain,
! [SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ! [SY729: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) )
| ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SY729 ) @ SV398 @ SV402 )
= SV405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2654]) ).
thf(2664,plain,
! [SV388: $i] :
( ( ( leq @ n0 @ SV388 )
= $false )
| ( ( ~ ( leq @ SV388 @ n4 ) )
= $true )
| ( ( ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 )
| ( SV388 = n3 )
| ( SV388 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2655]) ).
thf(2665,plain,
! [SV380: $i] :
( ( ( leq @ SV380 @ n0 )
= $false )
| ( ( leq @ n0 @ SV380 )
= $false )
| ( ( SV380 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2656]) ).
thf(2666,plain,
! [SV403: $i,SV400: $i,SV396: $i,SV391: $i,SV381: $i] :
( ( ( ~ ( ~ ( ( SV381 != SV391 ) )
| ( ( a_select2 @ SV396 @ SV391 )
!= SV400 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SV403 ) @ SV391 )
= SV400 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2657]) ).
thf(2667,plain,
! [SV382: $i] :
( ( ( leq @ SV382 @ n3 )
= $false )
| ( ( leq @ n0 @ SV382 )
= $false )
| ( ( ( SV382 = n0 )
| ( SV382 = n1 )
| ( SV382 = n2 )
| ( SV382 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2658]) ).
thf(2668,plain,
! [SV383: $i] :
( ( ( leq @ SV383 @ n1 )
= $false )
| ( ( leq @ n0 @ SV383 )
= $false )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2659]) ).
thf(2669,plain,
! [SV384: $i] :
( ( ( leq @ SV384 @ n2 )
= $false )
| ( ( leq @ n0 @ SV384 )
= $false )
| ( ( ( SV384 = n0 )
| ( SV384 = n1 )
| ( SV384 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2660]) ).
thf(2670,plain,
! [SV385: $i] :
( ( ( leq @ SV385 @ n5 )
= $false )
| ( ( leq @ n0 @ SV385 )
= $false )
| ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 )
| ( SV385 = n4 )
| ( SV385 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2661]) ).
thf(2671,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ~ ( ~ ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) )
| ~ ( leq @ n0 @ SV386 ) )
| ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2662]) ).
thf(2672,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) )
| ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2663]) ).
thf(2673,plain,
! [SV388: $i] :
( ( ( leq @ SV388 @ n4 )
= $false )
| ( ( leq @ n0 @ SV388 )
= $false )
| ( ( ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 )
| ( SV388 = n3 )
| ( SV388 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2664]) ).
thf(2674,plain,
! [SV403: $i,SV400: $i,SV396: $i,SV391: $i,SV381: $i] :
( ( ( ~ ( ( SV381 != SV391 ) )
| ( ( a_select2 @ SV396 @ SV391 )
!= SV400 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SV403 ) @ SV391 )
= SV400 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2666]) ).
thf(2675,plain,
! [SV382: $i] :
( ( ( ( SV382 = n0 )
| ( SV382 = n1 )
| ( SV382 = n2 ) )
= $true )
| ( ( SV382 = n3 )
= $true )
| ( ( leq @ n0 @ SV382 )
= $false )
| ( ( leq @ SV382 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2667]) ).
thf(2676,plain,
! [SV383: $i] :
( ( ( SV383 = n0 )
= $true )
| ( ( SV383 = n1 )
= $true )
| ( ( leq @ n0 @ SV383 )
= $false )
| ( ( leq @ SV383 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2668]) ).
thf(2677,plain,
! [SV384: $i] :
( ( ( ( SV384 = n0 )
| ( SV384 = n1 ) )
= $true )
| ( ( SV384 = n2 )
= $true )
| ( ( leq @ n0 @ SV384 )
= $false )
| ( ( leq @ SV384 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2669]) ).
thf(2678,plain,
! [SV385: $i] :
( ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 )
| ( SV385 = n4 ) )
= $true )
| ( ( SV385 = n5 )
= $true )
| ( ( leq @ n0 @ SV385 )
= $false )
| ( ( leq @ SV385 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2670]) ).
thf(2679,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ~ ( ~ ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) )
| ~ ( leq @ n0 @ SV386 ) ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2671]) ).
thf(2680,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) )
| ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2672]) ).
thf(2681,plain,
! [SV388: $i] :
( ( ( ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 )
| ( SV388 = n3 ) )
= $true )
| ( ( SV388 = n4 )
= $true )
| ( ( leq @ n0 @ SV388 )
= $false )
| ( ( leq @ SV388 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2673]) ).
thf(2682,plain,
! [SV403: $i,SV400: $i,SV396: $i,SV391: $i,SV381: $i] :
( ( ( ~ ( ( SV381 != SV391 ) ) )
= $true )
| ( ( ( a_select2 @ SV396 @ SV391 )
!= SV400 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SV403 ) @ SV391 )
= SV400 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2674]) ).
thf(2683,plain,
! [SV382: $i] :
( ( ( ( SV382 = n0 )
| ( SV382 = n1 ) )
= $true )
| ( ( SV382 = n2 )
= $true )
| ( ( SV382 = n3 )
= $true )
| ( ( leq @ n0 @ SV382 )
= $false )
| ( ( leq @ SV382 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2675]) ).
thf(2684,plain,
! [SV384: $i] :
( ( ( SV384 = n0 )
= $true )
| ( ( SV384 = n1 )
= $true )
| ( ( SV384 = n2 )
= $true )
| ( ( leq @ n0 @ SV384 )
= $false )
| ( ( leq @ SV384 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(2685,plain,
! [SV385: $i] :
( ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 )
| ( SV385 = n3 ) )
= $true )
| ( ( SV385 = n4 )
= $true )
| ( ( SV385 = n5 )
= $true )
| ( ( leq @ n0 @ SV385 )
= $false )
| ( ( leq @ SV385 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2678]) ).
thf(2686,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ( ~ ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) )
| ~ ( leq @ n0 @ SV386 ) ) )
= $false )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2679]) ).
thf(2687,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) )
| ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2680]) ).
thf(2688,plain,
! [SV388: $i] :
( ( ( ( SV388 = n0 )
| ( SV388 = n1 )
| ( SV388 = n2 ) )
= $true )
| ( ( SV388 = n3 )
= $true )
| ( ( SV388 = n4 )
= $true )
| ( ( leq @ n0 @ SV388 )
= $false )
| ( ( leq @ SV388 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2681]) ).
thf(2689,plain,
! [SV403: $i,SV400: $i,SV396: $i,SV391: $i,SV381: $i] :
( ( ( SV381 != SV391 )
= $false )
| ( ( ( a_select2 @ SV396 @ SV391 )
!= SV400 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SV403 ) @ SV391 )
= SV400 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2682]) ).
thf(2690,plain,
! [SV382: $i] :
( ( ( SV382 = n0 )
= $true )
| ( ( SV382 = n1 )
= $true )
| ( ( SV382 = n2 )
= $true )
| ( ( SV382 = n3 )
= $true )
| ( ( leq @ n0 @ SV382 )
= $false )
| ( ( leq @ SV382 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2683]) ).
thf(2691,plain,
! [SV385: $i] :
( ( ( ( SV385 = n0 )
| ( SV385 = n1 )
| ( SV385 = n2 ) )
= $true )
| ( ( SV385 = n3 )
= $true )
| ( ( SV385 = n4 )
= $true )
| ( ( SV385 = n5 )
= $true )
| ( ( leq @ n0 @ SV385 )
= $false )
| ( ( leq @ SV385 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2685]) ).
thf(2692,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) )
| ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2686]) ).
thf(2693,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) )
| ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2687]) ).
thf(2694,plain,
! [SV388: $i] :
( ( ( ( SV388 = n0 )
| ( SV388 = n1 ) )
= $true )
| ( ( SV388 = n2 )
= $true )
| ( ( SV388 = n3 )
= $true )
| ( ( SV388 = n4 )
= $true )
| ( ( leq @ n0 @ SV388 )
= $false )
| ( ( leq @ SV388 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2688]) ).
thf(2695,plain,
! [SV403: $i,SV400: $i,SV396: $i,SV391: $i,SV381: $i] :
( ( ( SV381 = SV391 )
= $true )
| ( ( ( a_select2 @ SV396 @ SV391 )
!= SV400 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SV403 ) @ SV391 )
= SV400 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2689]) ).
thf(2696,plain,
! [SV385: $i] :
( ( ( ( SV385 = n0 )
| ( SV385 = n1 ) )
= $true )
| ( ( SV385 = n2 )
= $true )
| ( ( SV385 = n3 )
= $true )
| ( ( SV385 = n4 )
= $true )
| ( ( SV385 = n5 )
= $true )
| ( ( leq @ n0 @ SV385 )
= $false )
| ( ( leq @ SV385 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2691]) ).
thf(2697,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2692]) ).
thf(2698,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( ~ ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) ) )
= $true )
| ( ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2693]) ).
thf(2699,plain,
! [SV388: $i] :
( ( ( SV388 = n0 )
= $true )
| ( ( SV388 = n1 )
= $true )
| ( ( SV388 = n2 )
= $true )
| ( ( SV388 = n3 )
= $true )
| ( ( SV388 = n4 )
= $true )
| ( ( leq @ n0 @ SV388 )
= $false )
| ( ( leq @ SV388 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2694]) ).
thf(2700,plain,
! [SV403: $i,SV381: $i,SV400: $i,SV391: $i,SV396: $i] :
( ( ( ( a_select2 @ SV396 @ SV391 )
= SV400 )
= $false )
| ( ( SV381 = SV391 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV396 @ SV381 @ SV403 ) @ SV391 )
= SV400 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2695]) ).
thf(2701,plain,
! [SV385: $i] :
( ( ( SV385 = n0 )
= $true )
| ( ( SV385 = n1 )
= $true )
| ( ( SV385 = n2 )
= $true )
| ( ( SV385 = n3 )
= $true )
| ( ( SV385 = n4 )
= $true )
| ( ( SV385 = n5 )
= $true )
| ( ( leq @ n0 @ SV385 )
= $false )
| ( ( leq @ SV385 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2696]) ).
thf(2702,plain,
! [SV386: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ! [SY723: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY723 )
| ~ ( leq @ SY723 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY723 )
= SV401 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2697]) ).
thf(2703,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( ~ ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) ) )
= $false )
| ( ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2698]) ).
thf(2704,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
| ~ ( leq @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) @ SV392 ) )
| ( ( a_select2 @ SV397 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
= SV401 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2702]) ).
thf(2705,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( ~ ( ( SV387 != SV398 ) )
| ( SV393 != SV402 ) )
= $true )
| ( ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2703]) ).
thf(2706,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
| ~ ( leq @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) @ SV392 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2704]) ).
thf(2707,plain,
! [SV392: $i,SV401: $i,SV386: $i,SV397: $i] :
( ( ( ( a_select2 @ SV397 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
= SV401 )
= $false )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2704]) ).
thf(2708,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( ~ ( ( SV387 != SV398 ) ) )
= $true )
| ( ( SV393 != SV402 )
= $true )
| ( ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2705]) ).
thf(2709,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
| ~ ( leq @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) @ SV392 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2706]) ).
thf(2710,plain,
! [SV392: $i,SV401: $i,SV397: $i,SV386: $i] :
( ( ( leq @ n0 @ SV386 )
= $false )
| ( ( ( a_select2 @ SV397 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
= SV401 )
= $false )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2707]) ).
thf(2711,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( SV387 != SV398 )
= $false )
| ( ( SV393 != SV402 )
= $true )
| ( ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2708]) ).
thf(2712,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( ~ ( leq @ n0 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
| ~ ( leq @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) @ SV392 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2709]) ).
thf(2713,plain,
! [SV401: $i,SV397: $i,SV392: $i,SV386: $i] :
( ( ( leq @ SV386 @ SV392 )
= $false )
| ( ( ( a_select2 @ SV397 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
= SV401 )
= $false )
| ( ( leq @ n0 @ SV386 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(2714,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV402: $i,SV393: $i,SV398: $i,SV387: $i] :
( ( ( SV387 = SV398 )
= $true )
| ( ( SV393 != SV402 )
= $true )
| ( ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2711]) ).
thf(2715,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( ~ ( leq @ n0 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2716,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( ~ ( leq @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) @ SV392 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2717,plain,
! [SV406: $i,SV405: $i,SV404: $i,SV398: $i,SV387: $i,SV402: $i,SV393: $i] :
( ( ( SV393 = SV402 )
= $false )
| ( ( SV387 = SV398 )
= $true )
| ( ( ( a_select3 @ SV404 @ SV398 @ SV402 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2714]) ).
thf(2718,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( leq @ n0 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2715]) ).
thf(2719,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( leq @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) @ SV392 )
= $true )
| ( ( ~ ( leq @ n0 @ SV386 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2716]) ).
thf(2720,plain,
! [SV406: $i,SV393: $i,SV387: $i,SV405: $i,SV402: $i,SV398: $i,SV404: $i] :
( ( ( ( a_select3 @ SV404 @ SV398 @ SV402 )
= SV405 )
= $false )
| ( ( SV387 = SV398 )
= $true )
| ( ( SV393 = SV402 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV404 @ SV387 @ SV393 @ SV406 ) @ SV398 @ SV402 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2721,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( leq @ n0 @ SV386 )
= $false )
| ( ( leq @ n0 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(2722,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV386: $i] :
( ( ( leq @ n0 @ SV386 )
= $false )
| ( ( leq @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) @ SV392 )
= $true )
| ( ( ~ ( leq @ SV386 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2719]) ).
thf(2723,plain,
! [SV397: $i,SV401: $i,SV392: $i,SV386: $i] :
( ( ( leq @ SV386 @ SV392 )
= $false )
| ( ( leq @ n0 @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) )
= $true )
| ( ( leq @ n0 @ SV386 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2721]) ).
thf(2724,plain,
! [SV397: $i,SV401: $i,SV392: $i,SV386: $i] :
( ( ( leq @ SV386 @ SV392 )
= $false )
| ( ( leq @ ( sK14_SY723 @ SV386 @ SV401 @ SV397 @ SV392 ) @ SV392 )
= $true )
| ( ( leq @ n0 @ SV386 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV386 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2722]) ).
thf(2725,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2550,2724,2723,2720,2713,2701,2700,2699,2690,2684,2676,2665,2637,2627,2613,2604,2590,2589,2588,2587,2586,2585,2584,2583,2582,2581,2580,2579,2578,2577,2576,2575,2574,2573,2572,2571,2564,2563,2562,2561,2560,2559,2558,2557,2556,2555,2554,2553,2552,2551]) ).
thf(2726,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(2727,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(2728,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2729,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(2730,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(2731,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2732,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2733,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2734,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2735,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2736,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2737,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2738,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2739,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2740,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2741,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2742,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2743,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2744,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2745,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2746,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2747,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(2748,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(2749,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2750,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2751,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2752,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2753,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2754,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2755,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2756,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2757,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2758,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(2759,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(2760,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(2761,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2762,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2763,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2764,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2765,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2766,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2767,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2768,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2769,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2770,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2771,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2772,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2773,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
!= use )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(2774,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2748]) ).
thf(2775,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2729]) ).
thf(2776,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2731]) ).
thf(2777,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2752]) ).
thf(2778,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2749]) ).
thf(2779,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2747]) ).
thf(2780,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2750]) ).
thf(2781,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2751]) ).
thf(2782,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2730]) ).
thf(2783,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2727]) ).
thf(2784,plain,
! [SV407: $i] :
( ( ! [SY730: $i,SY731: $i,SY732: $i] :
( ( a_select3 @ ( tptp_update3 @ SV407 @ SY730 @ SY731 @ SY732 ) @ SY730 @ SY731 )
= SY732 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2726]) ).
thf(2785,plain,
! [SV408: $i] :
( ( ! [SY733: $i,SY734: $i] :
( ( a_select2 @ ( tptp_update2 @ SV408 @ SY733 @ SY734 ) @ SY733 )
= SY734 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2728]) ).
thf(2786,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(2787,plain,
! [SV409: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV409 )
| ~ ( leq @ SV409 @ n5 ) )
| ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 )
| ( SV409 = n4 )
| ( SV409 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2774]) ).
thf(2788,plain,
! [SV410: $i] :
( ( ! [SY735: $i,SY736: $i,SY737: $i,SY738: $i] :
( ~ ~ ( ~ ( ( SV410 != SY735 ) )
| ( ( a_select2 @ SY736 @ SY735 )
!= SY737 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY736 @ SV410 @ SY738 ) @ SY735 )
= SY737 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2775]) ).
thf(2789,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2776]) ).
thf(2790,plain,
! [SV411: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV411 )
| ~ ( leq @ SV411 @ n3 ) )
| ( SV411 = n0 )
| ( SV411 = n1 )
| ( SV411 = n2 )
| ( SV411 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(2791,plain,
! [SV412: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV412 )
| ~ ( leq @ SV412 @ n0 ) )
| ( SV412 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(2792,plain,
! [SV413: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV413 )
| ~ ( leq @ SV413 @ n4 ) )
| ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 )
| ( SV413 = n3 )
| ( SV413 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(2793,plain,
! [SV414: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV414 )
| ~ ( leq @ SV414 @ n1 ) )
| ( SV414 = n0 )
| ( SV414 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2780]) ).
thf(2794,plain,
! [SV415: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV415 )
| ~ ( leq @ SV415 @ n2 ) )
| ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(2795,plain,
! [SV416: $i] :
( ( ! [SY739: $i,SY740: $i,SY741: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY739 ) )
| ( ( a_select2 @ SY740 @ SX4 )
= SY741 ) )
| ~ ( leq @ n0 @ SV416 ) )
| ~ ( leq @ SV416 @ SY739 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY740 @ SY739 @ SY741 ) @ SV416 )
= SY741 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2782]) ).
thf(2796,plain,
! [SV417: $i] :
( ( ! [SY743: $i,SY744: $i,SY745: $i,SY746: $i,SY747: $i,SY748: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV417 != SY744 ) )
| ( SY743 != SY745 ) )
| ( ( a_select3 @ SY746 @ SY744 @ SY745 )
!= SY747 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY746 @ SV417 @ SY743 @ SY748 ) @ SY744 @ SY745 )
= SY747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2783]) ).
thf(2797,plain,
! [SV418: $i,SV407: $i] :
( ( ! [SY749: $i,SY750: $i] :
( ( a_select3 @ ( tptp_update3 @ SV407 @ SV418 @ SY749 @ SY750 ) @ SV418 @ SY749 )
= SY750 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2784]) ).
thf(2798,plain,
! [SV419: $i,SV408: $i] :
( ( ! [SY751: $i] :
( ( a_select2 @ ( tptp_update2 @ SV408 @ SV419 @ SY751 ) @ SV419 )
= SY751 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2785]) ).
thf(2799,plain,
! [SV409: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV409 )
| ~ ( leq @ SV409 @ n5 ) ) )
= $true )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 )
| ( SV409 = n4 )
| ( SV409 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(2800,plain,
! [SV420: $i,SV410: $i] :
( ( ! [SY752: $i,SY753: $i,SY754: $i] :
( ~ ~ ( ~ ( ( SV410 != SV420 ) )
| ( ( a_select2 @ SY752 @ SV420 )
!= SY753 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY752 @ SV410 @ SY754 ) @ SV420 )
= SY753 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2788]) ).
thf(2801,plain,
! [SV411: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV411 )
| ~ ( leq @ SV411 @ n3 ) ) )
= $true )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 )
| ( SV411 = n2 )
| ( SV411 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2790]) ).
thf(2802,plain,
! [SV412: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV412 )
| ~ ( leq @ SV412 @ n0 ) ) )
= $true )
| ( ( SV412 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2791]) ).
thf(2803,plain,
! [SV413: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV413 )
| ~ ( leq @ SV413 @ n4 ) ) )
= $true )
| ( ( ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 )
| ( SV413 = n3 )
| ( SV413 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2792]) ).
thf(2804,plain,
! [SV414: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV414 )
| ~ ( leq @ SV414 @ n1 ) ) )
= $true )
| ( ( ( SV414 = n0 )
| ( SV414 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2793]) ).
thf(2805,plain,
! [SV415: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV415 )
| ~ ( leq @ SV415 @ n2 ) ) )
= $true )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2794]) ).
thf(2806,plain,
! [SV416: $i,SV421: $i] :
( ( ! [SY755: $i,SY756: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY757: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY757 )
| ~ ( leq @ SY757 @ SV421 ) )
| ( ( a_select2 @ SY755 @ SY757 )
= SY756 ) )
| ~ ( leq @ n0 @ SV416 ) )
| ~ ( leq @ SV416 @ SV421 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY755 @ SV421 @ SY756 ) @ SV416 )
= SY756 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2795]) ).
thf(2807,plain,
! [SV422: $i,SV417: $i] :
( ( ! [SY758: $i,SY759: $i,SY760: $i,SY761: $i,SY762: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV417 != SY758 ) )
| ( SV422 != SY759 ) )
| ( ( a_select3 @ SY760 @ SY758 @ SY759 )
!= SY761 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY760 @ SV417 @ SV422 @ SY762 ) @ SY758 @ SY759 )
= SY761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2796]) ).
thf(2808,plain,
! [SV423: $i,SV418: $i,SV407: $i] :
( ( ! [SY763: $i] :
( ( a_select3 @ ( tptp_update3 @ SV407 @ SV418 @ SV423 @ SY763 ) @ SV418 @ SV423 )
= SY763 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2797]) ).
thf(2809,plain,
! [SV424: $i,SV419: $i,SV408: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV408 @ SV419 @ SV424 ) @ SV419 )
= SV424 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2798]) ).
thf(2810,plain,
! [SV409: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV409 )
| ~ ( leq @ SV409 @ n5 ) ) )
= $false )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 )
| ( SV409 = n4 )
| ( SV409 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2799]) ).
thf(2811,plain,
! [SV425: $i,SV420: $i,SV410: $i] :
( ( ! [SY764: $i,SY765: $i] :
( ~ ~ ( ~ ( ( SV410 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SY764 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SY765 ) @ SV420 )
= SY764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2800]) ).
thf(2812,plain,
! [SV411: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV411 )
| ~ ( leq @ SV411 @ n3 ) ) )
= $false )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 )
| ( SV411 = n2 )
| ( SV411 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2801]) ).
thf(2813,plain,
! [SV412: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV412 )
| ~ ( leq @ SV412 @ n0 ) ) )
= $false )
| ( ( SV412 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2802]) ).
thf(2814,plain,
! [SV413: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV413 )
| ~ ( leq @ SV413 @ n4 ) ) )
= $false )
| ( ( ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 )
| ( SV413 = n3 )
| ( SV413 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(2815,plain,
! [SV414: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV414 )
| ~ ( leq @ SV414 @ n1 ) ) )
= $false )
| ( ( ( SV414 = n0 )
| ( SV414 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(2816,plain,
! [SV415: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV415 )
| ~ ( leq @ SV415 @ n2 ) ) )
= $false )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2805]) ).
thf(2817,plain,
! [SV416: $i,SV426: $i,SV421: $i] :
( ( ! [SY766: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY767: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY767 )
| ~ ( leq @ SY767 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY767 )
= SY766 ) )
| ~ ( leq @ n0 @ SV416 ) )
| ~ ( leq @ SV416 @ SV421 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SY766 ) @ SV416 )
= SY766 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2806]) ).
thf(2818,plain,
! [SV422: $i,SV427: $i,SV417: $i] :
( ( ! [SY768: $i,SY769: $i,SY770: $i,SY771: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SY768 ) )
| ( ( a_select3 @ SY769 @ SV427 @ SY768 )
!= SY770 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY769 @ SV417 @ SV422 @ SY771 ) @ SV427 @ SY768 )
= SY770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(2819,plain,
! [SV428: $i,SV423: $i,SV418: $i,SV407: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV407 @ SV418 @ SV423 @ SV428 ) @ SV418 @ SV423 )
= SV428 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2808]) ).
thf(2820,plain,
! [SV409: $i] :
( ( ( ~ ( leq @ n0 @ SV409 )
| ~ ( leq @ SV409 @ n5 ) )
= $true )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 )
| ( SV409 = n4 )
| ( SV409 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2810]) ).
thf(2821,plain,
! [SV429: $i,SV425: $i,SV420: $i,SV410: $i] :
( ( ! [SY772: $i] :
( ~ ~ ( ~ ( ( SV410 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SY772 ) @ SV420 )
= SV429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2811]) ).
thf(2822,plain,
! [SV411: $i] :
( ( ( ~ ( leq @ n0 @ SV411 )
| ~ ( leq @ SV411 @ n3 ) )
= $true )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 )
| ( SV411 = n2 )
| ( SV411 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2812]) ).
thf(2823,plain,
! [SV412: $i] :
( ( ( ~ ( leq @ n0 @ SV412 )
| ~ ( leq @ SV412 @ n0 ) )
= $true )
| ( ( SV412 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2813]) ).
thf(2824,plain,
! [SV413: $i] :
( ( ( ~ ( leq @ n0 @ SV413 )
| ~ ( leq @ SV413 @ n4 ) )
= $true )
| ( ( ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 )
| ( SV413 = n3 )
| ( SV413 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2814]) ).
thf(2825,plain,
! [SV414: $i] :
( ( ( ~ ( leq @ n0 @ SV414 )
| ~ ( leq @ SV414 @ n1 ) )
= $true )
| ( ( ( SV414 = n0 )
| ( SV414 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2815]) ).
thf(2826,plain,
! [SV415: $i] :
( ( ( ~ ( leq @ n0 @ SV415 )
| ~ ( leq @ SV415 @ n2 ) )
= $true )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2816]) ).
thf(2827,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) )
| ~ ( leq @ n0 @ SV416 ) )
| ~ ( leq @ SV416 @ SV421 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2817]) ).
thf(2828,plain,
! [SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ! [SY774: $i,SY775: $i,SY776: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) )
| ( ( a_select3 @ SY774 @ SV427 @ SV431 )
!= SY775 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY774 @ SV417 @ SV422 @ SY776 ) @ SV427 @ SV431 )
= SY775 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2818]) ).
thf(2829,plain,
! [SV409: $i] :
( ( ( ~ ( leq @ n0 @ SV409 ) )
= $true )
| ( ( ~ ( leq @ SV409 @ n5 ) )
= $true )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 )
| ( SV409 = n4 )
| ( SV409 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2820]) ).
thf(2830,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV410: $i] :
( ( ~ ~ ( ~ ( ( SV410 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SV432 ) @ SV420 )
= SV429 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2821]) ).
thf(2831,plain,
! [SV411: $i] :
( ( ( ~ ( leq @ n0 @ SV411 ) )
= $true )
| ( ( ~ ( leq @ SV411 @ n3 ) )
= $true )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 )
| ( SV411 = n2 )
| ( SV411 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2822]) ).
thf(2832,plain,
! [SV412: $i] :
( ( ( ~ ( leq @ n0 @ SV412 ) )
= $true )
| ( ( ~ ( leq @ SV412 @ n0 ) )
= $true )
| ( ( SV412 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2823]) ).
thf(2833,plain,
! [SV413: $i] :
( ( ( ~ ( leq @ n0 @ SV413 ) )
= $true )
| ( ( ~ ( leq @ SV413 @ n4 ) )
= $true )
| ( ( ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 )
| ( SV413 = n3 )
| ( SV413 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2824]) ).
thf(2834,plain,
! [SV414: $i] :
( ( ( ~ ( leq @ n0 @ SV414 ) )
= $true )
| ( ( ~ ( leq @ SV414 @ n1 ) )
= $true )
| ( ( ( SV414 = n0 )
| ( SV414 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(2835,plain,
! [SV415: $i] :
( ( ( ~ ( leq @ n0 @ SV415 ) )
= $true )
| ( ( ~ ( leq @ SV415 @ n2 ) )
= $true )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(2836,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) )
| ~ ( leq @ n0 @ SV416 ) )
| ~ ( leq @ SV416 @ SV421 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2827]) ).
thf(2837,plain,
! [SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ! [SY777: $i,SY778: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) )
| ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SY777 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SY778 ) @ SV427 @ SV431 )
= SY777 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2828]) ).
thf(2838,plain,
! [SV409: $i] :
( ( ( leq @ n0 @ SV409 )
= $false )
| ( ( ~ ( leq @ SV409 @ n5 ) )
= $true )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 )
| ( SV409 = n4 )
| ( SV409 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2829]) ).
thf(2839,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV410: $i] :
( ( ( ~ ~ ( ~ ( ( SV410 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2830]) ).
thf(2840,plain,
! [SV411: $i] :
( ( ( leq @ n0 @ SV411 )
= $false )
| ( ( ~ ( leq @ SV411 @ n3 ) )
= $true )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 )
| ( SV411 = n2 )
| ( SV411 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2831]) ).
thf(2841,plain,
! [SV412: $i] :
( ( ( leq @ n0 @ SV412 )
= $false )
| ( ( ~ ( leq @ SV412 @ n0 ) )
= $true )
| ( ( SV412 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2832]) ).
thf(2842,plain,
! [SV413: $i] :
( ( ( leq @ n0 @ SV413 )
= $false )
| ( ( ~ ( leq @ SV413 @ n4 ) )
= $true )
| ( ( ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 )
| ( SV413 = n3 )
| ( SV413 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2833]) ).
thf(2843,plain,
! [SV414: $i] :
( ( ( leq @ n0 @ SV414 )
= $false )
| ( ( ~ ( leq @ SV414 @ n1 ) )
= $true )
| ( ( ( SV414 = n0 )
| ( SV414 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(2844,plain,
! [SV415: $i] :
( ( ( leq @ n0 @ SV415 )
= $false )
| ( ( ~ ( leq @ SV415 @ n2 ) )
= $true )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2835]) ).
thf(2845,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) )
| ~ ( leq @ n0 @ SV416 ) )
| ~ ( leq @ SV416 @ SV421 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(2846,plain,
! [SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ! [SY779: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) )
| ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SY779 ) @ SV427 @ SV431 )
= SV434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2837]) ).
thf(2847,plain,
! [SV409: $i] :
( ( ( leq @ SV409 @ n5 )
= $false )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 )
| ( SV409 = n4 )
| ( SV409 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(2848,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV410: $i] :
( ( ( ~ ( ~ ( ( SV410 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(2849,plain,
! [SV411: $i] :
( ( ( leq @ SV411 @ n3 )
= $false )
| ( ( leq @ n0 @ SV411 )
= $false )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 )
| ( SV411 = n2 )
| ( SV411 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(2850,plain,
! [SV412: $i] :
( ( ( leq @ SV412 @ n0 )
= $false )
| ( ( leq @ n0 @ SV412 )
= $false )
| ( ( SV412 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(2851,plain,
! [SV413: $i] :
( ( ( leq @ SV413 @ n4 )
= $false )
| ( ( leq @ n0 @ SV413 )
= $false )
| ( ( ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 )
| ( SV413 = n3 )
| ( SV413 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(2852,plain,
! [SV414: $i] :
( ( ( leq @ SV414 @ n1 )
= $false )
| ( ( leq @ n0 @ SV414 )
= $false )
| ( ( ( SV414 = n0 )
| ( SV414 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2853,plain,
! [SV415: $i] :
( ( ( leq @ SV415 @ n2 )
= $false )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(2854,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ( ~ ~ ( ~ ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) )
| ~ ( leq @ n0 @ SV416 ) )
| ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2845]) ).
thf(2855,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) )
| ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2846]) ).
thf(2856,plain,
! [SV409: $i] :
( ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 )
| ( SV409 = n4 ) )
= $true )
| ( ( SV409 = n5 )
= $true )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( leq @ SV409 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2847]) ).
thf(2857,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV410: $i] :
( ( ( ~ ( ( SV410 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2848]) ).
thf(2858,plain,
! [SV411: $i] :
( ( ( ( SV411 = n0 )
| ( SV411 = n1 )
| ( SV411 = n2 ) )
= $true )
| ( ( SV411 = n3 )
= $true )
| ( ( leq @ n0 @ SV411 )
= $false )
| ( ( leq @ SV411 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2849]) ).
thf(2859,plain,
! [SV413: $i] :
( ( ( ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 )
| ( SV413 = n3 ) )
= $true )
| ( ( SV413 = n4 )
= $true )
| ( ( leq @ n0 @ SV413 )
= $false )
| ( ( leq @ SV413 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2851]) ).
thf(2860,plain,
! [SV414: $i] :
( ( ( SV414 = n0 )
= $true )
| ( ( SV414 = n1 )
= $true )
| ( ( leq @ n0 @ SV414 )
= $false )
| ( ( leq @ SV414 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(2861,plain,
! [SV415: $i] :
( ( ( ( SV415 = n0 )
| ( SV415 = n1 ) )
= $true )
| ( ( SV415 = n2 )
= $true )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( leq @ SV415 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2853]) ).
thf(2862,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ( ~ ~ ( ~ ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) )
| ~ ( leq @ n0 @ SV416 ) ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2854]) ).
thf(2863,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) )
| ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(2864,plain,
! [SV409: $i] :
( ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 ) )
= $true )
| ( ( SV409 = n4 )
= $true )
| ( ( SV409 = n5 )
= $true )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( leq @ SV409 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(2865,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV410: $i] :
( ( ( ~ ( ( SV410 != SV420 ) ) )
= $true )
| ( ( ( a_select2 @ SV425 @ SV420 )
!= SV429 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2857]) ).
thf(2866,plain,
! [SV411: $i] :
( ( ( ( SV411 = n0 )
| ( SV411 = n1 ) )
= $true )
| ( ( SV411 = n2 )
= $true )
| ( ( SV411 = n3 )
= $true )
| ( ( leq @ n0 @ SV411 )
= $false )
| ( ( leq @ SV411 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2858]) ).
thf(2867,plain,
! [SV413: $i] :
( ( ( ( SV413 = n0 )
| ( SV413 = n1 )
| ( SV413 = n2 ) )
= $true )
| ( ( SV413 = n3 )
= $true )
| ( ( SV413 = n4 )
= $true )
| ( ( leq @ n0 @ SV413 )
= $false )
| ( ( leq @ SV413 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(2868,plain,
! [SV415: $i] :
( ( ( SV415 = n0 )
= $true )
| ( ( SV415 = n1 )
= $true )
| ( ( SV415 = n2 )
= $true )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( leq @ SV415 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(2869,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ( ~ ( ~ ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) )
| ~ ( leq @ n0 @ SV416 ) ) )
= $false )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2862]) ).
thf(2870,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) )
| ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2863]) ).
thf(2871,plain,
! [SV409: $i] :
( ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 ) )
= $true )
| ( ( SV409 = n3 )
= $true )
| ( ( SV409 = n4 )
= $true )
| ( ( SV409 = n5 )
= $true )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( leq @ SV409 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2864]) ).
thf(2872,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV410: $i] :
( ( ( SV410 != SV420 )
= $false )
| ( ( ( a_select2 @ SV425 @ SV420 )
!= SV429 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2865]) ).
thf(2873,plain,
! [SV411: $i] :
( ( ( SV411 = n0 )
= $true )
| ( ( SV411 = n1 )
= $true )
| ( ( SV411 = n2 )
= $true )
| ( ( SV411 = n3 )
= $true )
| ( ( leq @ n0 @ SV411 )
= $false )
| ( ( leq @ SV411 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(2874,plain,
! [SV413: $i] :
( ( ( ( SV413 = n0 )
| ( SV413 = n1 ) )
= $true )
| ( ( SV413 = n2 )
= $true )
| ( ( SV413 = n3 )
= $true )
| ( ( SV413 = n4 )
= $true )
| ( ( leq @ n0 @ SV413 )
= $false )
| ( ( leq @ SV413 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2867]) ).
thf(2875,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ( ~ ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) )
| ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2869]) ).
thf(2876,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) )
| ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2870]) ).
thf(2877,plain,
! [SV409: $i] :
( ( ( ( SV409 = n0 )
| ( SV409 = n1 ) )
= $true )
| ( ( SV409 = n2 )
= $true )
| ( ( SV409 = n3 )
= $true )
| ( ( SV409 = n4 )
= $true )
| ( ( SV409 = n5 )
= $true )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( leq @ SV409 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(2878,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV410: $i] :
( ( ( SV410 = SV420 )
= $true )
| ( ( ( a_select2 @ SV425 @ SV420 )
!= SV429 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2872]) ).
thf(2879,plain,
! [SV413: $i] :
( ( ( SV413 = n0 )
= $true )
| ( ( SV413 = n1 )
= $true )
| ( ( SV413 = n2 )
= $true )
| ( ( SV413 = n3 )
= $true )
| ( ( SV413 = n4 )
= $true )
| ( ( leq @ n0 @ SV413 )
= $false )
| ( ( leq @ SV413 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2874]) ).
thf(2880,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ( ~ ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2875]) ).
thf(2881,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( ~ ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) ) )
= $true )
| ( ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2876]) ).
thf(2882,plain,
! [SV409: $i] :
( ( ( SV409 = n0 )
= $true )
| ( ( SV409 = n1 )
= $true )
| ( ( SV409 = n2 )
= $true )
| ( ( SV409 = n3 )
= $true )
| ( ( SV409 = n4 )
= $true )
| ( ( SV409 = n5 )
= $true )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( leq @ SV409 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2877]) ).
thf(2883,plain,
! [SV432: $i,SV410: $i,SV429: $i,SV420: $i,SV425: $i] :
( ( ( ( a_select2 @ SV425 @ SV420 )
= SV429 )
= $false )
| ( ( SV410 = SV420 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV410 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2878]) ).
thf(2884,plain,
! [SV416: $i,SV430: $i,SV426: $i,SV421: $i] :
( ( ( ! [SY773: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY773 )
| ~ ( leq @ SY773 @ SV421 ) )
| ( ( a_select2 @ SV426 @ SY773 )
= SV430 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2880]) ).
thf(2885,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( ~ ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) ) )
= $false )
| ( ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2881]) ).
thf(2886,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
| ~ ( leq @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) @ SV421 ) )
| ( ( a_select2 @ SV426 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
= SV430 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2884]) ).
thf(2887,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( ~ ( ( SV417 != SV427 ) )
| ( SV422 != SV431 ) )
= $true )
| ( ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2885]) ).
thf(2888,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
| ~ ( leq @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) @ SV421 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2886]) ).
thf(2889,plain,
! [SV421: $i,SV430: $i,SV416: $i,SV426: $i] :
( ( ( ( a_select2 @ SV426 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
= SV430 )
= $false )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2886]) ).
thf(2890,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( ~ ( ( SV417 != SV427 ) ) )
= $true )
| ( ( SV422 != SV431 )
= $true )
| ( ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2887]) ).
thf(2891,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
| ~ ( leq @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) @ SV421 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2888]) ).
thf(2892,plain,
! [SV421: $i,SV430: $i,SV426: $i,SV416: $i] :
( ( ( leq @ n0 @ SV416 )
= $false )
| ( ( ( a_select2 @ SV426 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
= SV430 )
= $false )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2889]) ).
thf(2893,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( SV417 != SV427 )
= $false )
| ( ( SV422 != SV431 )
= $true )
| ( ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2890]) ).
thf(2894,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( ~ ( leq @ n0 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
| ~ ( leq @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) @ SV421 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2891]) ).
thf(2895,plain,
! [SV430: $i,SV426: $i,SV421: $i,SV416: $i] :
( ( ( leq @ SV416 @ SV421 )
= $false )
| ( ( ( a_select2 @ SV426 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
= SV430 )
= $false )
| ( ( leq @ n0 @ SV416 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2892]) ).
thf(2896,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV431: $i,SV422: $i,SV427: $i,SV417: $i] :
( ( ( SV417 = SV427 )
= $true )
| ( ( SV422 != SV431 )
= $true )
| ( ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2893]) ).
thf(2897,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( ~ ( leq @ n0 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2894]) ).
thf(2898,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( ~ ( leq @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) @ SV421 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2894]) ).
thf(2899,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV427: $i,SV417: $i,SV431: $i,SV422: $i] :
( ( ( SV422 = SV431 )
= $false )
| ( ( SV417 = SV427 )
= $true )
| ( ( ( a_select3 @ SV433 @ SV427 @ SV431 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2896]) ).
thf(2900,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( leq @ n0 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2897]) ).
thf(2901,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( leq @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) @ SV421 )
= $true )
| ( ( ~ ( leq @ n0 @ SV416 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2898]) ).
thf(2902,plain,
! [SV435: $i,SV422: $i,SV417: $i,SV434: $i,SV431: $i,SV427: $i,SV433: $i] :
( ( ( ( a_select3 @ SV433 @ SV427 @ SV431 )
= SV434 )
= $false )
| ( ( SV417 = SV427 )
= $true )
| ( ( SV422 = SV431 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV417 @ SV422 @ SV435 ) @ SV427 @ SV431 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2899]) ).
thf(2903,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( leq @ n0 @ SV416 )
= $false )
| ( ( leq @ n0 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(2904,plain,
! [SV421: $i,SV426: $i,SV430: $i,SV416: $i] :
( ( ( leq @ n0 @ SV416 )
= $false )
| ( ( leq @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) @ SV421 )
= $true )
| ( ( ~ ( leq @ SV416 @ SV421 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2901]) ).
thf(2905,plain,
! [SV426: $i,SV430: $i,SV421: $i,SV416: $i] :
( ( ( leq @ SV416 @ SV421 )
= $false )
| ( ( leq @ n0 @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) )
= $true )
| ( ( leq @ n0 @ SV416 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2903]) ).
thf(2906,plain,
! [SV426: $i,SV430: $i,SV421: $i,SV416: $i] :
( ( ( leq @ SV416 @ SV421 )
= $false )
| ( ( leq @ ( sK15_SY773 @ SV416 @ SV430 @ SV426 @ SV421 ) @ SV421 )
= $true )
| ( ( leq @ n0 @ SV416 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV426 @ SV421 @ SV430 ) @ SV416 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2904]) ).
thf(2907,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2732,2906,2905,2902,2895,2883,2882,2879,2873,2868,2860,2850,2819,2809,2789,2786,2772,2771,2770,2769,2768,2767,2766,2765,2764,2763,2762,2761,2760,2759,2758,2757,2756,2755,2754,2753,2746,2745,2744,2743,2742,2741,2740,2739,2738,2737,2736,2735,2734,2733]) ).
thf(2908,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(2909,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(2910,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2911,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(2912,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(2913,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2914,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2915,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2916,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2917,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2918,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2919,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2920,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2921,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2922,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2923,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2924,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2925,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2926,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2927,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2928,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2929,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(2930,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(2931,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2932,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2933,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2934,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2935,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2936,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2937,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2938,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2939,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2940,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(2941,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(2942,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(2943,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2944,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2945,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2946,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2947,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2948,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2949,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2950,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2951,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2952,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2953,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2954,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2955,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(2956,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2912]) ).
thf(2957,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2911]) ).
thf(2958,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2929]) ).
thf(2959,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2934]) ).
thf(2960,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2930]) ).
thf(2961,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2933]) ).
thf(2962,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2909]) ).
thf(2963,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2932]) ).
thf(2964,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2931]) ).
thf(2965,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2913]) ).
thf(2966,plain,
! [SV436: $i] :
( ( ! [SY780: $i,SY781: $i,SY782: $i] :
( ( a_select3 @ ( tptp_update3 @ SV436 @ SY780 @ SY781 @ SY782 ) @ SY780 @ SY781 )
= SY782 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2908]) ).
thf(2967,plain,
! [SV437: $i] :
( ( ! [SY783: $i,SY784: $i] :
( ( a_select2 @ ( tptp_update2 @ SV437 @ SY783 @ SY784 ) @ SY783 )
= SY784 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2910]) ).
thf(2968,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2955]) ).
thf(2969,plain,
! [SV438: $i] :
( ( ! [SY785: $i,SY786: $i,SY787: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY785 ) )
| ( ( a_select2 @ SY786 @ SX4 )
= SY787 ) )
| ~ ( leq @ n0 @ SV438 ) )
| ~ ( leq @ SV438 @ SY785 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY786 @ SY785 @ SY787 ) @ SV438 )
= SY787 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2956]) ).
thf(2970,plain,
! [SV439: $i] :
( ( ! [SY789: $i,SY790: $i,SY791: $i,SY792: $i] :
( ~ ~ ( ~ ( ( SV439 != SY789 ) )
| ( ( a_select2 @ SY790 @ SY789 )
!= SY791 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY790 @ SV439 @ SY792 ) @ SY789 )
= SY791 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2957]) ).
thf(2971,plain,
! [SV440: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV440 )
| ~ ( leq @ SV440 @ n4 ) )
| ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 )
| ( SV440 = n3 )
| ( SV440 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2958]) ).
thf(2972,plain,
! [SV441: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV441 )
| ~ ( leq @ SV441 @ n3 ) )
| ( SV441 = n0 )
| ( SV441 = n1 )
| ( SV441 = n2 )
| ( SV441 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2959]) ).
thf(2973,plain,
! [SV442: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV442 )
| ~ ( leq @ SV442 @ n5 ) )
| ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 )
| ( SV442 = n4 )
| ( SV442 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2960]) ).
thf(2974,plain,
! [SV443: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV443 )
| ~ ( leq @ SV443 @ n2 ) )
| ( SV443 = n0 )
| ( SV443 = n1 )
| ( SV443 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2961]) ).
thf(2975,plain,
! [SV444: $i] :
( ( ! [SY793: $i,SY794: $i,SY795: $i,SY796: $i,SY797: $i,SY798: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV444 != SY794 ) )
| ( SY793 != SY795 ) )
| ( ( a_select3 @ SY796 @ SY794 @ SY795 )
!= SY797 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY796 @ SV444 @ SY793 @ SY798 ) @ SY794 @ SY795 )
= SY797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2962]) ).
thf(2976,plain,
! [SV445: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV445 )
| ~ ( leq @ SV445 @ n1 ) )
| ( SV445 = n0 )
| ( SV445 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2963]) ).
thf(2977,plain,
! [SV446: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV446 )
| ~ ( leq @ SV446 @ n0 ) )
| ( SV446 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2964]) ).
thf(2978,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2965]) ).
thf(2979,plain,
! [SV447: $i,SV436: $i] :
( ( ! [SY799: $i,SY800: $i] :
( ( a_select3 @ ( tptp_update3 @ SV436 @ SV447 @ SY799 @ SY800 ) @ SV447 @ SY799 )
= SY800 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2966]) ).
thf(2980,plain,
! [SV448: $i,SV437: $i] :
( ( ! [SY801: $i] :
( ( a_select2 @ ( tptp_update2 @ SV437 @ SV448 @ SY801 ) @ SV448 )
= SY801 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2967]) ).
thf(2981,plain,
! [SV438: $i,SV449: $i] :
( ( ! [SY802: $i,SY803: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY804: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY804 )
| ~ ( leq @ SY804 @ SV449 ) )
| ( ( a_select2 @ SY802 @ SY804 )
= SY803 ) )
| ~ ( leq @ n0 @ SV438 ) )
| ~ ( leq @ SV438 @ SV449 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY802 @ SV449 @ SY803 ) @ SV438 )
= SY803 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2969]) ).
thf(2982,plain,
! [SV450: $i,SV439: $i] :
( ( ! [SY805: $i,SY806: $i,SY807: $i] :
( ~ ~ ( ~ ( ( SV439 != SV450 ) )
| ( ( a_select2 @ SY805 @ SV450 )
!= SY806 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY805 @ SV439 @ SY807 ) @ SV450 )
= SY806 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2970]) ).
thf(2983,plain,
! [SV440: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV440 )
| ~ ( leq @ SV440 @ n4 ) ) )
= $true )
| ( ( ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 )
| ( SV440 = n3 )
| ( SV440 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2971]) ).
thf(2984,plain,
! [SV441: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV441 )
| ~ ( leq @ SV441 @ n3 ) ) )
= $true )
| ( ( ( SV441 = n0 )
| ( SV441 = n1 )
| ( SV441 = n2 )
| ( SV441 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2972]) ).
thf(2985,plain,
! [SV442: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV442 )
| ~ ( leq @ SV442 @ n5 ) ) )
= $true )
| ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 )
| ( SV442 = n4 )
| ( SV442 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2973]) ).
thf(2986,plain,
! [SV443: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV443 )
| ~ ( leq @ SV443 @ n2 ) ) )
= $true )
| ( ( ( SV443 = n0 )
| ( SV443 = n1 )
| ( SV443 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2974]) ).
thf(2987,plain,
! [SV451: $i,SV444: $i] :
( ( ! [SY808: $i,SY809: $i,SY810: $i,SY811: $i,SY812: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV444 != SY808 ) )
| ( SV451 != SY809 ) )
| ( ( a_select3 @ SY810 @ SY808 @ SY809 )
!= SY811 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY810 @ SV444 @ SV451 @ SY812 ) @ SY808 @ SY809 )
= SY811 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2975]) ).
thf(2988,plain,
! [SV445: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV445 )
| ~ ( leq @ SV445 @ n1 ) ) )
= $true )
| ( ( ( SV445 = n0 )
| ( SV445 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2976]) ).
thf(2989,plain,
! [SV446: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV446 )
| ~ ( leq @ SV446 @ n0 ) ) )
= $true )
| ( ( SV446 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2977]) ).
thf(2990,plain,
! [SV452: $i,SV447: $i,SV436: $i] :
( ( ! [SY813: $i] :
( ( a_select3 @ ( tptp_update3 @ SV436 @ SV447 @ SV452 @ SY813 ) @ SV447 @ SV452 )
= SY813 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2979]) ).
thf(2991,plain,
! [SV453: $i,SV448: $i,SV437: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV437 @ SV448 @ SV453 ) @ SV448 )
= SV453 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2980]) ).
thf(2992,plain,
! [SV438: $i,SV454: $i,SV449: $i] :
( ( ! [SY814: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY815: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY815 )
| ~ ( leq @ SY815 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY815 )
= SY814 ) )
| ~ ( leq @ n0 @ SV438 ) )
| ~ ( leq @ SV438 @ SV449 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SY814 ) @ SV438 )
= SY814 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2981]) ).
thf(2993,plain,
! [SV455: $i,SV450: $i,SV439: $i] :
( ( ! [SY816: $i,SY817: $i] :
( ~ ~ ( ~ ( ( SV439 != SV450 ) )
| ( ( a_select2 @ SV455 @ SV450 )
!= SY816 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SY817 ) @ SV450 )
= SY816 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2982]) ).
thf(2994,plain,
! [SV440: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV440 )
| ~ ( leq @ SV440 @ n4 ) ) )
= $false )
| ( ( ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 )
| ( SV440 = n3 )
| ( SV440 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2983]) ).
thf(2995,plain,
! [SV441: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV441 )
| ~ ( leq @ SV441 @ n3 ) ) )
= $false )
| ( ( ( SV441 = n0 )
| ( SV441 = n1 )
| ( SV441 = n2 )
| ( SV441 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2984]) ).
thf(2996,plain,
! [SV442: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV442 )
| ~ ( leq @ SV442 @ n5 ) ) )
= $false )
| ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 )
| ( SV442 = n4 )
| ( SV442 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2985]) ).
thf(2997,plain,
! [SV443: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV443 )
| ~ ( leq @ SV443 @ n2 ) ) )
= $false )
| ( ( ( SV443 = n0 )
| ( SV443 = n1 )
| ( SV443 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(2998,plain,
! [SV451: $i,SV456: $i,SV444: $i] :
( ( ! [SY818: $i,SY819: $i,SY820: $i,SY821: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SY818 ) )
| ( ( a_select3 @ SY819 @ SV456 @ SY818 )
!= SY820 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY819 @ SV444 @ SV451 @ SY821 ) @ SV456 @ SY818 )
= SY820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2987]) ).
thf(2999,plain,
! [SV445: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV445 )
| ~ ( leq @ SV445 @ n1 ) ) )
= $false )
| ( ( ( SV445 = n0 )
| ( SV445 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2988]) ).
thf(3000,plain,
! [SV446: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV446 )
| ~ ( leq @ SV446 @ n0 ) ) )
= $false )
| ( ( SV446 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3001,plain,
! [SV457: $i,SV452: $i,SV447: $i,SV436: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV436 @ SV447 @ SV452 @ SV457 ) @ SV447 @ SV452 )
= SV457 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2990]) ).
thf(3002,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) )
| ~ ( leq @ n0 @ SV438 ) )
| ~ ( leq @ SV438 @ SV449 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2992]) ).
thf(3003,plain,
! [SV459: $i,SV455: $i,SV450: $i,SV439: $i] :
( ( ! [SY823: $i] :
( ~ ~ ( ~ ( ( SV439 != SV450 ) )
| ( ( a_select2 @ SV455 @ SV450 )
!= SV459 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SY823 ) @ SV450 )
= SV459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2993]) ).
thf(3004,plain,
! [SV440: $i] :
( ( ( ~ ( leq @ n0 @ SV440 )
| ~ ( leq @ SV440 @ n4 ) )
= $true )
| ( ( ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 )
| ( SV440 = n3 )
| ( SV440 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2994]) ).
thf(3005,plain,
! [SV441: $i] :
( ( ( ~ ( leq @ n0 @ SV441 )
| ~ ( leq @ SV441 @ n3 ) )
= $true )
| ( ( ( SV441 = n0 )
| ( SV441 = n1 )
| ( SV441 = n2 )
| ( SV441 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2995]) ).
thf(3006,plain,
! [SV442: $i] :
( ( ( ~ ( leq @ n0 @ SV442 )
| ~ ( leq @ SV442 @ n5 ) )
= $true )
| ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 )
| ( SV442 = n4 )
| ( SV442 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2996]) ).
thf(3007,plain,
! [SV443: $i] :
( ( ( ~ ( leq @ n0 @ SV443 )
| ~ ( leq @ SV443 @ n2 ) )
= $true )
| ( ( ( SV443 = n0 )
| ( SV443 = n1 )
| ( SV443 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2997]) ).
thf(3008,plain,
! [SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ! [SY824: $i,SY825: $i,SY826: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) )
| ( ( a_select3 @ SY824 @ SV456 @ SV460 )
!= SY825 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY824 @ SV444 @ SV451 @ SY826 ) @ SV456 @ SV460 )
= SY825 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2998]) ).
thf(3009,plain,
! [SV445: $i] :
( ( ( ~ ( leq @ n0 @ SV445 )
| ~ ( leq @ SV445 @ n1 ) )
= $true )
| ( ( ( SV445 = n0 )
| ( SV445 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2999]) ).
thf(3010,plain,
! [SV446: $i] :
( ( ( ~ ( leq @ n0 @ SV446 )
| ~ ( leq @ SV446 @ n0 ) )
= $true )
| ( ( SV446 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3000]) ).
thf(3011,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) )
| ~ ( leq @ n0 @ SV438 ) )
| ~ ( leq @ SV438 @ SV449 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3002]) ).
thf(3012,plain,
! [SV461: $i,SV459: $i,SV455: $i,SV450: $i,SV439: $i] :
( ( ~ ~ ( ~ ( ( SV439 != SV450 ) )
| ( ( a_select2 @ SV455 @ SV450 )
!= SV459 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SV461 ) @ SV450 )
= SV459 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3003]) ).
thf(3013,plain,
! [SV440: $i] :
( ( ( ~ ( leq @ n0 @ SV440 ) )
= $true )
| ( ( ~ ( leq @ SV440 @ n4 ) )
= $true )
| ( ( ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 )
| ( SV440 = n3 )
| ( SV440 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3004]) ).
thf(3014,plain,
! [SV441: $i] :
( ( ( ~ ( leq @ n0 @ SV441 ) )
= $true )
| ( ( ~ ( leq @ SV441 @ n3 ) )
= $true )
| ( ( ( SV441 = n0 )
| ( SV441 = n1 )
| ( SV441 = n2 )
| ( SV441 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3005]) ).
thf(3015,plain,
! [SV442: $i] :
( ( ( ~ ( leq @ n0 @ SV442 ) )
= $true )
| ( ( ~ ( leq @ SV442 @ n5 ) )
= $true )
| ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 )
| ( SV442 = n4 )
| ( SV442 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3006]) ).
thf(3016,plain,
! [SV443: $i] :
( ( ( ~ ( leq @ n0 @ SV443 ) )
= $true )
| ( ( ~ ( leq @ SV443 @ n2 ) )
= $true )
| ( ( ( SV443 = n0 )
| ( SV443 = n1 )
| ( SV443 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3007]) ).
thf(3017,plain,
! [SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ! [SY827: $i,SY828: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) )
| ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SY827 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SY828 ) @ SV456 @ SV460 )
= SY827 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3008]) ).
thf(3018,plain,
! [SV445: $i] :
( ( ( ~ ( leq @ n0 @ SV445 ) )
= $true )
| ( ( ~ ( leq @ SV445 @ n1 ) )
= $true )
| ( ( ( SV445 = n0 )
| ( SV445 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3009]) ).
thf(3019,plain,
! [SV446: $i] :
( ( ( ~ ( leq @ n0 @ SV446 ) )
= $true )
| ( ( ~ ( leq @ SV446 @ n0 ) )
= $true )
| ( ( SV446 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3010]) ).
thf(3020,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) )
| ~ ( leq @ n0 @ SV438 ) )
| ~ ( leq @ SV438 @ SV449 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3011]) ).
thf(3021,plain,
! [SV461: $i,SV459: $i,SV455: $i,SV450: $i,SV439: $i] :
( ( ( ~ ~ ( ~ ( ( SV439 != SV450 ) )
| ( ( a_select2 @ SV455 @ SV450 )
!= SV459 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SV461 ) @ SV450 )
= SV459 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3012]) ).
thf(3022,plain,
! [SV440: $i] :
( ( ( leq @ n0 @ SV440 )
= $false )
| ( ( ~ ( leq @ SV440 @ n4 ) )
= $true )
| ( ( ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 )
| ( SV440 = n3 )
| ( SV440 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3023,plain,
! [SV441: $i] :
( ( ( leq @ n0 @ SV441 )
= $false )
| ( ( ~ ( leq @ SV441 @ n3 ) )
= $true )
| ( ( ( SV441 = n0 )
| ( SV441 = n1 )
| ( SV441 = n2 )
| ( SV441 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3014]) ).
thf(3024,plain,
! [SV442: $i] :
( ( ( leq @ n0 @ SV442 )
= $false )
| ( ( ~ ( leq @ SV442 @ n5 ) )
= $true )
| ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 )
| ( SV442 = n4 )
| ( SV442 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3015]) ).
thf(3025,plain,
! [SV443: $i] :
( ( ( leq @ n0 @ SV443 )
= $false )
| ( ( ~ ( leq @ SV443 @ n2 ) )
= $true )
| ( ( ( SV443 = n0 )
| ( SV443 = n1 )
| ( SV443 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3016]) ).
thf(3026,plain,
! [SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ! [SY829: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) )
| ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SY829 ) @ SV456 @ SV460 )
= SV463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3017]) ).
thf(3027,plain,
! [SV445: $i] :
( ( ( leq @ n0 @ SV445 )
= $false )
| ( ( ~ ( leq @ SV445 @ n1 ) )
= $true )
| ( ( ( SV445 = n0 )
| ( SV445 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3028,plain,
! [SV446: $i] :
( ( ( leq @ n0 @ SV446 )
= $false )
| ( ( ~ ( leq @ SV446 @ n0 ) )
= $true )
| ( ( SV446 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3019]) ).
thf(3029,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ( ~ ~ ( ~ ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) )
| ~ ( leq @ n0 @ SV438 ) )
| ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3020]) ).
thf(3030,plain,
! [SV461: $i,SV459: $i,SV455: $i,SV450: $i,SV439: $i] :
( ( ( ~ ( ~ ( ( SV439 != SV450 ) )
| ( ( a_select2 @ SV455 @ SV450 )
!= SV459 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SV461 ) @ SV450 )
= SV459 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3031,plain,
! [SV440: $i] :
( ( ( leq @ SV440 @ n4 )
= $false )
| ( ( leq @ n0 @ SV440 )
= $false )
| ( ( ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 )
| ( SV440 = n3 )
| ( SV440 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3022]) ).
thf(3032,plain,
! [SV441: $i] :
( ( ( leq @ SV441 @ n3 )
= $false )
| ( ( leq @ n0 @ SV441 )
= $false )
| ( ( ( SV441 = n0 )
| ( SV441 = n1 )
| ( SV441 = n2 )
| ( SV441 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3023]) ).
thf(3033,plain,
! [SV442: $i] :
( ( ( leq @ SV442 @ n5 )
= $false )
| ( ( leq @ n0 @ SV442 )
= $false )
| ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 )
| ( SV442 = n4 )
| ( SV442 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3024]) ).
thf(3034,plain,
! [SV443: $i] :
( ( ( leq @ SV443 @ n2 )
= $false )
| ( ( leq @ n0 @ SV443 )
= $false )
| ( ( ( SV443 = n0 )
| ( SV443 = n1 )
| ( SV443 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3025]) ).
thf(3035,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) )
| ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3026]) ).
thf(3036,plain,
! [SV445: $i] :
( ( ( leq @ SV445 @ n1 )
= $false )
| ( ( leq @ n0 @ SV445 )
= $false )
| ( ( ( SV445 = n0 )
| ( SV445 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3027]) ).
thf(3037,plain,
! [SV446: $i] :
( ( ( leq @ SV446 @ n0 )
= $false )
| ( ( leq @ n0 @ SV446 )
= $false )
| ( ( SV446 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3028]) ).
thf(3038,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ( ~ ~ ( ~ ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) )
| ~ ( leq @ n0 @ SV438 ) ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3039,plain,
! [SV461: $i,SV459: $i,SV455: $i,SV450: $i,SV439: $i] :
( ( ( ~ ( ( SV439 != SV450 ) )
| ( ( a_select2 @ SV455 @ SV450 )
!= SV459 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SV461 ) @ SV450 )
= SV459 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3030]) ).
thf(3040,plain,
! [SV440: $i] :
( ( ( ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 )
| ( SV440 = n3 ) )
= $true )
| ( ( SV440 = n4 )
= $true )
| ( ( leq @ n0 @ SV440 )
= $false )
| ( ( leq @ SV440 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3031]) ).
thf(3041,plain,
! [SV441: $i] :
( ( ( ( SV441 = n0 )
| ( SV441 = n1 )
| ( SV441 = n2 ) )
= $true )
| ( ( SV441 = n3 )
= $true )
| ( ( leq @ n0 @ SV441 )
= $false )
| ( ( leq @ SV441 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3032]) ).
thf(3042,plain,
! [SV442: $i] :
( ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 )
| ( SV442 = n4 ) )
= $true )
| ( ( SV442 = n5 )
= $true )
| ( ( leq @ n0 @ SV442 )
= $false )
| ( ( leq @ SV442 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3033]) ).
thf(3043,plain,
! [SV443: $i] :
( ( ( ( SV443 = n0 )
| ( SV443 = n1 ) )
= $true )
| ( ( SV443 = n2 )
= $true )
| ( ( leq @ n0 @ SV443 )
= $false )
| ( ( leq @ SV443 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3034]) ).
thf(3044,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) )
| ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3035]) ).
thf(3045,plain,
! [SV445: $i] :
( ( ( SV445 = n0 )
= $true )
| ( ( SV445 = n1 )
= $true )
| ( ( leq @ n0 @ SV445 )
= $false )
| ( ( leq @ SV445 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3036]) ).
thf(3046,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ( ~ ( ~ ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) )
| ~ ( leq @ n0 @ SV438 ) ) )
= $false )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3038]) ).
thf(3047,plain,
! [SV461: $i,SV459: $i,SV455: $i,SV450: $i,SV439: $i] :
( ( ( ~ ( ( SV439 != SV450 ) ) )
= $true )
| ( ( ( a_select2 @ SV455 @ SV450 )
!= SV459 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SV461 ) @ SV450 )
= SV459 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3039]) ).
thf(3048,plain,
! [SV440: $i] :
( ( ( ( SV440 = n0 )
| ( SV440 = n1 )
| ( SV440 = n2 ) )
= $true )
| ( ( SV440 = n3 )
= $true )
| ( ( SV440 = n4 )
= $true )
| ( ( leq @ n0 @ SV440 )
= $false )
| ( ( leq @ SV440 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3040]) ).
thf(3049,plain,
! [SV441: $i] :
( ( ( ( SV441 = n0 )
| ( SV441 = n1 ) )
= $true )
| ( ( SV441 = n2 )
= $true )
| ( ( SV441 = n3 )
= $true )
| ( ( leq @ n0 @ SV441 )
= $false )
| ( ( leq @ SV441 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3041]) ).
thf(3050,plain,
! [SV442: $i] :
( ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 )
| ( SV442 = n3 ) )
= $true )
| ( ( SV442 = n4 )
= $true )
| ( ( SV442 = n5 )
= $true )
| ( ( leq @ n0 @ SV442 )
= $false )
| ( ( leq @ SV442 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3042]) ).
thf(3051,plain,
! [SV443: $i] :
( ( ( SV443 = n0 )
= $true )
| ( ( SV443 = n1 )
= $true )
| ( ( SV443 = n2 )
= $true )
| ( ( leq @ n0 @ SV443 )
= $false )
| ( ( leq @ SV443 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3043]) ).
thf(3052,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) )
| ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3044]) ).
thf(3053,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ( ~ ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) )
| ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3046]) ).
thf(3054,plain,
! [SV461: $i,SV459: $i,SV455: $i,SV450: $i,SV439: $i] :
( ( ( SV439 != SV450 )
= $false )
| ( ( ( a_select2 @ SV455 @ SV450 )
!= SV459 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SV461 ) @ SV450 )
= SV459 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3055,plain,
! [SV440: $i] :
( ( ( ( SV440 = n0 )
| ( SV440 = n1 ) )
= $true )
| ( ( SV440 = n2 )
= $true )
| ( ( SV440 = n3 )
= $true )
| ( ( SV440 = n4 )
= $true )
| ( ( leq @ n0 @ SV440 )
= $false )
| ( ( leq @ SV440 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3048]) ).
thf(3056,plain,
! [SV441: $i] :
( ( ( SV441 = n0 )
= $true )
| ( ( SV441 = n1 )
= $true )
| ( ( SV441 = n2 )
= $true )
| ( ( SV441 = n3 )
= $true )
| ( ( leq @ n0 @ SV441 )
= $false )
| ( ( leq @ SV441 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3049]) ).
thf(3057,plain,
! [SV442: $i] :
( ( ( ( SV442 = n0 )
| ( SV442 = n1 )
| ( SV442 = n2 ) )
= $true )
| ( ( SV442 = n3 )
= $true )
| ( ( SV442 = n4 )
= $true )
| ( ( SV442 = n5 )
= $true )
| ( ( leq @ n0 @ SV442 )
= $false )
| ( ( leq @ SV442 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3050]) ).
thf(3058,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) )
| ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3052]) ).
thf(3059,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ( ~ ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3053]) ).
thf(3060,plain,
! [SV461: $i,SV459: $i,SV455: $i,SV450: $i,SV439: $i] :
( ( ( SV439 = SV450 )
= $true )
| ( ( ( a_select2 @ SV455 @ SV450 )
!= SV459 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SV461 ) @ SV450 )
= SV459 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3054]) ).
thf(3061,plain,
! [SV440: $i] :
( ( ( SV440 = n0 )
= $true )
| ( ( SV440 = n1 )
= $true )
| ( ( SV440 = n2 )
= $true )
| ( ( SV440 = n3 )
= $true )
| ( ( SV440 = n4 )
= $true )
| ( ( leq @ n0 @ SV440 )
= $false )
| ( ( leq @ SV440 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3055]) ).
thf(3062,plain,
! [SV442: $i] :
( ( ( ( SV442 = n0 )
| ( SV442 = n1 ) )
= $true )
| ( ( SV442 = n2 )
= $true )
| ( ( SV442 = n3 )
= $true )
| ( ( SV442 = n4 )
= $true )
| ( ( SV442 = n5 )
= $true )
| ( ( leq @ n0 @ SV442 )
= $false )
| ( ( leq @ SV442 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3057]) ).
thf(3063,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( ~ ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) ) )
= $true )
| ( ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3058]) ).
thf(3064,plain,
! [SV438: $i,SV458: $i,SV454: $i,SV449: $i] :
( ( ( ! [SY822: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY822 )
| ~ ( leq @ SY822 @ SV449 ) )
| ( ( a_select2 @ SV454 @ SY822 )
= SV458 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3065,plain,
! [SV461: $i,SV439: $i,SV459: $i,SV450: $i,SV455: $i] :
( ( ( ( a_select2 @ SV455 @ SV450 )
= SV459 )
= $false )
| ( ( SV439 = SV450 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV455 @ SV439 @ SV461 ) @ SV450 )
= SV459 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3066,plain,
! [SV442: $i] :
( ( ( SV442 = n0 )
= $true )
| ( ( SV442 = n1 )
= $true )
| ( ( SV442 = n2 )
= $true )
| ( ( SV442 = n3 )
= $true )
| ( ( SV442 = n4 )
= $true )
| ( ( SV442 = n5 )
= $true )
| ( ( leq @ n0 @ SV442 )
= $false )
| ( ( leq @ SV442 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3062]) ).
thf(3067,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( ~ ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) ) )
= $false )
| ( ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3068,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
| ~ ( leq @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) @ SV449 ) )
| ( ( a_select2 @ SV454 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
= SV458 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3064]) ).
thf(3069,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( ~ ( ( SV444 != SV456 ) )
| ( SV451 != SV460 ) )
= $true )
| ( ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3067]) ).
thf(3070,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
| ~ ( leq @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) @ SV449 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3068]) ).
thf(3071,plain,
! [SV449: $i,SV458: $i,SV438: $i,SV454: $i] :
( ( ( ( a_select2 @ SV454 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
= SV458 )
= $false )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3068]) ).
thf(3072,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( ~ ( ( SV444 != SV456 ) ) )
= $true )
| ( ( SV451 != SV460 )
= $true )
| ( ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3069]) ).
thf(3073,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
| ~ ( leq @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) @ SV449 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3070]) ).
thf(3074,plain,
! [SV449: $i,SV458: $i,SV454: $i,SV438: $i] :
( ( ( leq @ n0 @ SV438 )
= $false )
| ( ( ( a_select2 @ SV454 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
= SV458 )
= $false )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3075,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( SV444 != SV456 )
= $false )
| ( ( SV451 != SV460 )
= $true )
| ( ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3076,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( ~ ( leq @ n0 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
| ~ ( leq @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) @ SV449 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3077,plain,
! [SV458: $i,SV454: $i,SV449: $i,SV438: $i] :
( ( ( leq @ SV438 @ SV449 )
= $false )
| ( ( ( a_select2 @ SV454 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
= SV458 )
= $false )
| ( ( leq @ n0 @ SV438 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3074]) ).
thf(3078,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV460: $i,SV451: $i,SV456: $i,SV444: $i] :
( ( ( SV444 = SV456 )
= $true )
| ( ( SV451 != SV460 )
= $true )
| ( ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3075]) ).
thf(3079,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( ~ ( leq @ n0 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3076]) ).
thf(3080,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( ~ ( leq @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) @ SV449 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3076]) ).
thf(3081,plain,
! [SV464: $i,SV463: $i,SV462: $i,SV456: $i,SV444: $i,SV460: $i,SV451: $i] :
( ( ( SV451 = SV460 )
= $false )
| ( ( SV444 = SV456 )
= $true )
| ( ( ( a_select3 @ SV462 @ SV456 @ SV460 )
!= SV463 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3078]) ).
thf(3082,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( leq @ n0 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3079]) ).
thf(3083,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( leq @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) @ SV449 )
= $true )
| ( ( ~ ( leq @ n0 @ SV438 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3080]) ).
thf(3084,plain,
! [SV464: $i,SV451: $i,SV444: $i,SV463: $i,SV460: $i,SV456: $i,SV462: $i] :
( ( ( ( a_select3 @ SV462 @ SV456 @ SV460 )
= SV463 )
= $false )
| ( ( SV444 = SV456 )
= $true )
| ( ( SV451 = SV460 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV462 @ SV444 @ SV451 @ SV464 ) @ SV456 @ SV460 )
= SV463 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3085,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( leq @ n0 @ SV438 )
= $false )
| ( ( leq @ n0 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3086,plain,
! [SV449: $i,SV454: $i,SV458: $i,SV438: $i] :
( ( ( leq @ n0 @ SV438 )
= $false )
| ( ( leq @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) @ SV449 )
= $true )
| ( ( ~ ( leq @ SV438 @ SV449 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3087,plain,
! [SV454: $i,SV458: $i,SV449: $i,SV438: $i] :
( ( ( leq @ SV438 @ SV449 )
= $false )
| ( ( leq @ n0 @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) )
= $true )
| ( ( leq @ n0 @ SV438 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3085]) ).
thf(3088,plain,
! [SV454: $i,SV458: $i,SV449: $i,SV438: $i] :
( ( ( leq @ SV438 @ SV449 )
= $false )
| ( ( leq @ ( sK16_SY822 @ SV438 @ SV458 @ SV454 @ SV449 ) @ SV449 )
= $true )
| ( ( leq @ n0 @ SV438 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV454 @ SV449 @ SV458 ) @ SV438 )
= SV458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3089,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2914,3088,3087,3084,3077,3066,3065,3061,3056,3051,3045,3037,3001,2991,2978,2968,2954,2953,2952,2951,2950,2949,2948,2947,2946,2945,2944,2943,2942,2941,2940,2939,2938,2937,2936,2935,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915]) ).
thf(3090,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(3091,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(3092,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(3093,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(3094,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(3095,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(3096,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(3097,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(3098,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(3099,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(3100,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(3101,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(3102,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(3103,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(3104,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(3105,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(3106,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(3107,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(3108,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(3109,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(3110,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(3111,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(3112,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(3113,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(3114,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(3115,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(3116,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(3117,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(3118,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(3119,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(3120,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(3121,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(3122,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(3123,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(3124,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(3125,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(3126,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(3127,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(3128,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(3129,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(3130,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(3131,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(3132,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(3133,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(3134,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(3135,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(3136,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(3137,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(3138,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3112]) ).
thf(3139,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3111]) ).
thf(3140,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3114]) ).
thf(3141,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[3095]) ).
thf(3142,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3115]) ).
thf(3143,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3116]) ).
thf(3144,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3093]) ).
thf(3145,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3091]) ).
thf(3146,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3113]) ).
thf(3147,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3094]) ).
thf(3148,plain,
! [SV465: $i] :
( ( ! [SY830: $i,SY831: $i,SY832: $i] :
( ( a_select3 @ ( tptp_update3 @ SV465 @ SY830 @ SY831 @ SY832 ) @ SY830 @ SY831 )
= SY832 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3090]) ).
thf(3149,plain,
! [SV466: $i] :
( ( ! [SY833: $i,SY834: $i] :
( ( a_select2 @ ( tptp_update2 @ SV466 @ SY833 @ SY834 ) @ SY833 )
= SY834 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3092]) ).
thf(3150,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3137]) ).
thf(3151,plain,
! [SV467: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV467 )
| ~ ( leq @ SV467 @ n5 ) )
| ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 )
| ( SV467 = n4 )
| ( SV467 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3138]) ).
thf(3152,plain,
! [SV468: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV468 )
| ~ ( leq @ SV468 @ n4 ) )
| ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 )
| ( SV468 = n3 )
| ( SV468 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3139]) ).
thf(3153,plain,
! [SV469: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV469 )
| ~ ( leq @ SV469 @ n1 ) )
| ( SV469 = n0 )
| ( SV469 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3140]) ).
thf(3154,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3141]) ).
thf(3155,plain,
! [SV470: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV470 )
| ~ ( leq @ SV470 @ n2 ) )
| ( SV470 = n0 )
| ( SV470 = n1 )
| ( SV470 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3142]) ).
thf(3156,plain,
! [SV471: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV471 )
| ~ ( leq @ SV471 @ n3 ) )
| ( SV471 = n0 )
| ( SV471 = n1 )
| ( SV471 = n2 )
| ( SV471 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3143]) ).
thf(3157,plain,
! [SV472: $i] :
( ( ! [SY835: $i,SY836: $i,SY837: $i,SY838: $i] :
( ~ ~ ( ~ ( ( SV472 != SY835 ) )
| ( ( a_select2 @ SY836 @ SY835 )
!= SY837 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY836 @ SV472 @ SY838 ) @ SY835 )
= SY837 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3144]) ).
thf(3158,plain,
! [SV473: $i] :
( ( ! [SY839: $i,SY840: $i,SY841: $i,SY842: $i,SY843: $i,SY844: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV473 != SY840 ) )
| ( SY839 != SY841 ) )
| ( ( a_select3 @ SY842 @ SY840 @ SY841 )
!= SY843 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY842 @ SV473 @ SY839 @ SY844 ) @ SY840 @ SY841 )
= SY843 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3145]) ).
thf(3159,plain,
! [SV474: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV474 )
| ~ ( leq @ SV474 @ n0 ) )
| ( SV474 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3146]) ).
thf(3160,plain,
! [SV475: $i] :
( ( ! [SY845: $i,SY846: $i,SY847: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY845 ) )
| ( ( a_select2 @ SY846 @ SX4 )
= SY847 ) )
| ~ ( leq @ n0 @ SV475 ) )
| ~ ( leq @ SV475 @ SY845 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY846 @ SY845 @ SY847 ) @ SV475 )
= SY847 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3147]) ).
thf(3161,plain,
! [SV476: $i,SV465: $i] :
( ( ! [SY849: $i,SY850: $i] :
( ( a_select3 @ ( tptp_update3 @ SV465 @ SV476 @ SY849 @ SY850 ) @ SV476 @ SY849 )
= SY850 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3148]) ).
thf(3162,plain,
! [SV477: $i,SV466: $i] :
( ( ! [SY851: $i] :
( ( a_select2 @ ( tptp_update2 @ SV466 @ SV477 @ SY851 ) @ SV477 )
= SY851 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3149]) ).
thf(3163,plain,
! [SV467: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV467 )
| ~ ( leq @ SV467 @ n5 ) ) )
= $true )
| ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 )
| ( SV467 = n4 )
| ( SV467 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3151]) ).
thf(3164,plain,
! [SV468: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV468 )
| ~ ( leq @ SV468 @ n4 ) ) )
= $true )
| ( ( ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 )
| ( SV468 = n3 )
| ( SV468 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3152]) ).
thf(3165,plain,
! [SV469: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV469 )
| ~ ( leq @ SV469 @ n1 ) ) )
= $true )
| ( ( ( SV469 = n0 )
| ( SV469 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3153]) ).
thf(3166,plain,
! [SV470: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV470 )
| ~ ( leq @ SV470 @ n2 ) ) )
= $true )
| ( ( ( SV470 = n0 )
| ( SV470 = n1 )
| ( SV470 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3155]) ).
thf(3167,plain,
! [SV471: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV471 )
| ~ ( leq @ SV471 @ n3 ) ) )
= $true )
| ( ( ( SV471 = n0 )
| ( SV471 = n1 )
| ( SV471 = n2 )
| ( SV471 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3156]) ).
thf(3168,plain,
! [SV478: $i,SV472: $i] :
( ( ! [SY852: $i,SY853: $i,SY854: $i] :
( ~ ~ ( ~ ( ( SV472 != SV478 ) )
| ( ( a_select2 @ SY852 @ SV478 )
!= SY853 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY852 @ SV472 @ SY854 ) @ SV478 )
= SY853 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3157]) ).
thf(3169,plain,
! [SV479: $i,SV473: $i] :
( ( ! [SY855: $i,SY856: $i,SY857: $i,SY858: $i,SY859: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV473 != SY855 ) )
| ( SV479 != SY856 ) )
| ( ( a_select3 @ SY857 @ SY855 @ SY856 )
!= SY858 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY857 @ SV473 @ SV479 @ SY859 ) @ SY855 @ SY856 )
= SY858 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3158]) ).
thf(3170,plain,
! [SV474: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV474 )
| ~ ( leq @ SV474 @ n0 ) ) )
= $true )
| ( ( SV474 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3159]) ).
thf(3171,plain,
! [SV475: $i,SV480: $i] :
( ( ! [SY860: $i,SY861: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY862: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY862 )
| ~ ( leq @ SY862 @ SV480 ) )
| ( ( a_select2 @ SY860 @ SY862 )
= SY861 ) )
| ~ ( leq @ n0 @ SV475 ) )
| ~ ( leq @ SV475 @ SV480 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY860 @ SV480 @ SY861 ) @ SV475 )
= SY861 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3160]) ).
thf(3172,plain,
! [SV481: $i,SV476: $i,SV465: $i] :
( ( ! [SY863: $i] :
( ( a_select3 @ ( tptp_update3 @ SV465 @ SV476 @ SV481 @ SY863 ) @ SV476 @ SV481 )
= SY863 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3161]) ).
thf(3173,plain,
! [SV482: $i,SV477: $i,SV466: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV466 @ SV477 @ SV482 ) @ SV477 )
= SV482 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3162]) ).
thf(3174,plain,
! [SV467: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV467 )
| ~ ( leq @ SV467 @ n5 ) ) )
= $false )
| ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 )
| ( SV467 = n4 )
| ( SV467 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3163]) ).
thf(3175,plain,
! [SV468: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV468 )
| ~ ( leq @ SV468 @ n4 ) ) )
= $false )
| ( ( ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 )
| ( SV468 = n3 )
| ( SV468 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3164]) ).
thf(3176,plain,
! [SV469: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV469 )
| ~ ( leq @ SV469 @ n1 ) ) )
= $false )
| ( ( ( SV469 = n0 )
| ( SV469 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3165]) ).
thf(3177,plain,
! [SV470: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV470 )
| ~ ( leq @ SV470 @ n2 ) ) )
= $false )
| ( ( ( SV470 = n0 )
| ( SV470 = n1 )
| ( SV470 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3166]) ).
thf(3178,plain,
! [SV471: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV471 )
| ~ ( leq @ SV471 @ n3 ) ) )
= $false )
| ( ( ( SV471 = n0 )
| ( SV471 = n1 )
| ( SV471 = n2 )
| ( SV471 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3167]) ).
thf(3179,plain,
! [SV483: $i,SV478: $i,SV472: $i] :
( ( ! [SY864: $i,SY865: $i] :
( ~ ~ ( ~ ( ( SV472 != SV478 ) )
| ( ( a_select2 @ SV483 @ SV478 )
!= SY864 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SY865 ) @ SV478 )
= SY864 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3168]) ).
thf(3180,plain,
! [SV479: $i,SV484: $i,SV473: $i] :
( ( ! [SY866: $i,SY867: $i,SY868: $i,SY869: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SY866 ) )
| ( ( a_select3 @ SY867 @ SV484 @ SY866 )
!= SY868 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY867 @ SV473 @ SV479 @ SY869 ) @ SV484 @ SY866 )
= SY868 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3169]) ).
thf(3181,plain,
! [SV474: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV474 )
| ~ ( leq @ SV474 @ n0 ) ) )
= $false )
| ( ( SV474 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3182,plain,
! [SV475: $i,SV485: $i,SV480: $i] :
( ( ! [SY870: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY871: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY871 )
| ~ ( leq @ SY871 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY871 )
= SY870 ) )
| ~ ( leq @ n0 @ SV475 ) )
| ~ ( leq @ SV475 @ SV480 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SY870 ) @ SV475 )
= SY870 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3171]) ).
thf(3183,plain,
! [SV486: $i,SV481: $i,SV476: $i,SV465: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV465 @ SV476 @ SV481 @ SV486 ) @ SV476 @ SV481 )
= SV486 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3172]) ).
thf(3184,plain,
! [SV467: $i] :
( ( ( ~ ( leq @ n0 @ SV467 )
| ~ ( leq @ SV467 @ n5 ) )
= $true )
| ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 )
| ( SV467 = n4 )
| ( SV467 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3174]) ).
thf(3185,plain,
! [SV468: $i] :
( ( ( ~ ( leq @ n0 @ SV468 )
| ~ ( leq @ SV468 @ n4 ) )
= $true )
| ( ( ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 )
| ( SV468 = n3 )
| ( SV468 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3175]) ).
thf(3186,plain,
! [SV469: $i] :
( ( ( ~ ( leq @ n0 @ SV469 )
| ~ ( leq @ SV469 @ n1 ) )
= $true )
| ( ( ( SV469 = n0 )
| ( SV469 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3176]) ).
thf(3187,plain,
! [SV470: $i] :
( ( ( ~ ( leq @ n0 @ SV470 )
| ~ ( leq @ SV470 @ n2 ) )
= $true )
| ( ( ( SV470 = n0 )
| ( SV470 = n1 )
| ( SV470 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3177]) ).
thf(3188,plain,
! [SV471: $i] :
( ( ( ~ ( leq @ n0 @ SV471 )
| ~ ( leq @ SV471 @ n3 ) )
= $true )
| ( ( ( SV471 = n0 )
| ( SV471 = n1 )
| ( SV471 = n2 )
| ( SV471 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3178]) ).
thf(3189,plain,
! [SV487: $i,SV483: $i,SV478: $i,SV472: $i] :
( ( ! [SY872: $i] :
( ~ ~ ( ~ ( ( SV472 != SV478 ) )
| ( ( a_select2 @ SV483 @ SV478 )
!= SV487 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SY872 ) @ SV478 )
= SV487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3179]) ).
thf(3190,plain,
! [SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ! [SY873: $i,SY874: $i,SY875: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) )
| ( ( a_select3 @ SY873 @ SV484 @ SV488 )
!= SY874 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY873 @ SV473 @ SV479 @ SY875 ) @ SV484 @ SV488 )
= SY874 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3180]) ).
thf(3191,plain,
! [SV474: $i] :
( ( ( ~ ( leq @ n0 @ SV474 )
| ~ ( leq @ SV474 @ n0 ) )
= $true )
| ( ( SV474 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3181]) ).
thf(3192,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) )
| ~ ( leq @ n0 @ SV475 ) )
| ~ ( leq @ SV475 @ SV480 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3182]) ).
thf(3193,plain,
! [SV467: $i] :
( ( ( ~ ( leq @ n0 @ SV467 ) )
= $true )
| ( ( ~ ( leq @ SV467 @ n5 ) )
= $true )
| ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 )
| ( SV467 = n4 )
| ( SV467 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3184]) ).
thf(3194,plain,
! [SV468: $i] :
( ( ( ~ ( leq @ n0 @ SV468 ) )
= $true )
| ( ( ~ ( leq @ SV468 @ n4 ) )
= $true )
| ( ( ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 )
| ( SV468 = n3 )
| ( SV468 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3185]) ).
thf(3195,plain,
! [SV469: $i] :
( ( ( ~ ( leq @ n0 @ SV469 ) )
= $true )
| ( ( ~ ( leq @ SV469 @ n1 ) )
= $true )
| ( ( ( SV469 = n0 )
| ( SV469 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3186]) ).
thf(3196,plain,
! [SV470: $i] :
( ( ( ~ ( leq @ n0 @ SV470 ) )
= $true )
| ( ( ~ ( leq @ SV470 @ n2 ) )
= $true )
| ( ( ( SV470 = n0 )
| ( SV470 = n1 )
| ( SV470 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3187]) ).
thf(3197,plain,
! [SV471: $i] :
( ( ( ~ ( leq @ n0 @ SV471 ) )
= $true )
| ( ( ~ ( leq @ SV471 @ n3 ) )
= $true )
| ( ( ( SV471 = n0 )
| ( SV471 = n1 )
| ( SV471 = n2 )
| ( SV471 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3188]) ).
thf(3198,plain,
! [SV490: $i,SV487: $i,SV483: $i,SV478: $i,SV472: $i] :
( ( ~ ~ ( ~ ( ( SV472 != SV478 ) )
| ( ( a_select2 @ SV483 @ SV478 )
!= SV487 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SV490 ) @ SV478 )
= SV487 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3189]) ).
thf(3199,plain,
! [SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ! [SY877: $i,SY878: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) )
| ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SY877 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SY878 ) @ SV484 @ SV488 )
= SY877 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3190]) ).
thf(3200,plain,
! [SV474: $i] :
( ( ( ~ ( leq @ n0 @ SV474 ) )
= $true )
| ( ( ~ ( leq @ SV474 @ n0 ) )
= $true )
| ( ( SV474 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3191]) ).
thf(3201,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) )
| ~ ( leq @ n0 @ SV475 ) )
| ~ ( leq @ SV475 @ SV480 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3192]) ).
thf(3202,plain,
! [SV467: $i] :
( ( ( leq @ n0 @ SV467 )
= $false )
| ( ( ~ ( leq @ SV467 @ n5 ) )
= $true )
| ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 )
| ( SV467 = n4 )
| ( SV467 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3193]) ).
thf(3203,plain,
! [SV468: $i] :
( ( ( leq @ n0 @ SV468 )
= $false )
| ( ( ~ ( leq @ SV468 @ n4 ) )
= $true )
| ( ( ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 )
| ( SV468 = n3 )
| ( SV468 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3194]) ).
thf(3204,plain,
! [SV469: $i] :
( ( ( leq @ n0 @ SV469 )
= $false )
| ( ( ~ ( leq @ SV469 @ n1 ) )
= $true )
| ( ( ( SV469 = n0 )
| ( SV469 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3205,plain,
! [SV470: $i] :
( ( ( leq @ n0 @ SV470 )
= $false )
| ( ( ~ ( leq @ SV470 @ n2 ) )
= $true )
| ( ( ( SV470 = n0 )
| ( SV470 = n1 )
| ( SV470 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3196]) ).
thf(3206,plain,
! [SV471: $i] :
( ( ( leq @ n0 @ SV471 )
= $false )
| ( ( ~ ( leq @ SV471 @ n3 ) )
= $true )
| ( ( ( SV471 = n0 )
| ( SV471 = n1 )
| ( SV471 = n2 )
| ( SV471 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3197]) ).
thf(3207,plain,
! [SV490: $i,SV487: $i,SV483: $i,SV478: $i,SV472: $i] :
( ( ( ~ ~ ( ~ ( ( SV472 != SV478 ) )
| ( ( a_select2 @ SV483 @ SV478 )
!= SV487 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SV490 ) @ SV478 )
= SV487 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3198]) ).
thf(3208,plain,
! [SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ! [SY879: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) )
| ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SY879 ) @ SV484 @ SV488 )
= SV492 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3199]) ).
thf(3209,plain,
! [SV474: $i] :
( ( ( leq @ n0 @ SV474 )
= $false )
| ( ( ~ ( leq @ SV474 @ n0 ) )
= $true )
| ( ( SV474 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3200]) ).
thf(3210,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) )
| ~ ( leq @ n0 @ SV475 ) )
| ~ ( leq @ SV475 @ SV480 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3201]) ).
thf(3211,plain,
! [SV467: $i] :
( ( ( leq @ SV467 @ n5 )
= $false )
| ( ( leq @ n0 @ SV467 )
= $false )
| ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 )
| ( SV467 = n4 )
| ( SV467 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3202]) ).
thf(3212,plain,
! [SV468: $i] :
( ( ( leq @ SV468 @ n4 )
= $false )
| ( ( leq @ n0 @ SV468 )
= $false )
| ( ( ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 )
| ( SV468 = n3 )
| ( SV468 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3203]) ).
thf(3213,plain,
! [SV469: $i] :
( ( ( leq @ SV469 @ n1 )
= $false )
| ( ( leq @ n0 @ SV469 )
= $false )
| ( ( ( SV469 = n0 )
| ( SV469 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3204]) ).
thf(3214,plain,
! [SV470: $i] :
( ( ( leq @ SV470 @ n2 )
= $false )
| ( ( leq @ n0 @ SV470 )
= $false )
| ( ( ( SV470 = n0 )
| ( SV470 = n1 )
| ( SV470 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3205]) ).
thf(3215,plain,
! [SV471: $i] :
( ( ( leq @ SV471 @ n3 )
= $false )
| ( ( leq @ n0 @ SV471 )
= $false )
| ( ( ( SV471 = n0 )
| ( SV471 = n1 )
| ( SV471 = n2 )
| ( SV471 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3206]) ).
thf(3216,plain,
! [SV490: $i,SV487: $i,SV483: $i,SV478: $i,SV472: $i] :
( ( ( ~ ( ~ ( ( SV472 != SV478 ) )
| ( ( a_select2 @ SV483 @ SV478 )
!= SV487 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SV490 ) @ SV478 )
= SV487 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3207]) ).
thf(3217,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) )
| ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3208]) ).
thf(3218,plain,
! [SV474: $i] :
( ( ( leq @ SV474 @ n0 )
= $false )
| ( ( leq @ n0 @ SV474 )
= $false )
| ( ( SV474 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3209]) ).
thf(3219,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ( ~ ~ ( ~ ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) )
| ~ ( leq @ n0 @ SV475 ) )
| ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3210]) ).
thf(3220,plain,
! [SV467: $i] :
( ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 )
| ( SV467 = n4 ) )
= $true )
| ( ( SV467 = n5 )
= $true )
| ( ( leq @ n0 @ SV467 )
= $false )
| ( ( leq @ SV467 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3211]) ).
thf(3221,plain,
! [SV468: $i] :
( ( ( ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 )
| ( SV468 = n3 ) )
= $true )
| ( ( SV468 = n4 )
= $true )
| ( ( leq @ n0 @ SV468 )
= $false )
| ( ( leq @ SV468 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3212]) ).
thf(3222,plain,
! [SV469: $i] :
( ( ( SV469 = n0 )
= $true )
| ( ( SV469 = n1 )
= $true )
| ( ( leq @ n0 @ SV469 )
= $false )
| ( ( leq @ SV469 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3213]) ).
thf(3223,plain,
! [SV470: $i] :
( ( ( ( SV470 = n0 )
| ( SV470 = n1 ) )
= $true )
| ( ( SV470 = n2 )
= $true )
| ( ( leq @ n0 @ SV470 )
= $false )
| ( ( leq @ SV470 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3214]) ).
thf(3224,plain,
! [SV471: $i] :
( ( ( ( SV471 = n0 )
| ( SV471 = n1 )
| ( SV471 = n2 ) )
= $true )
| ( ( SV471 = n3 )
= $true )
| ( ( leq @ n0 @ SV471 )
= $false )
| ( ( leq @ SV471 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3215]) ).
thf(3225,plain,
! [SV490: $i,SV487: $i,SV483: $i,SV478: $i,SV472: $i] :
( ( ( ~ ( ( SV472 != SV478 ) )
| ( ( a_select2 @ SV483 @ SV478 )
!= SV487 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SV490 ) @ SV478 )
= SV487 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3216]) ).
thf(3226,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) )
| ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3217]) ).
thf(3227,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ( ~ ~ ( ~ ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) )
| ~ ( leq @ n0 @ SV475 ) ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3219]) ).
thf(3228,plain,
! [SV467: $i] :
( ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 )
| ( SV467 = n3 ) )
= $true )
| ( ( SV467 = n4 )
= $true )
| ( ( SV467 = n5 )
= $true )
| ( ( leq @ n0 @ SV467 )
= $false )
| ( ( leq @ SV467 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3220]) ).
thf(3229,plain,
! [SV468: $i] :
( ( ( ( SV468 = n0 )
| ( SV468 = n1 )
| ( SV468 = n2 ) )
= $true )
| ( ( SV468 = n3 )
= $true )
| ( ( SV468 = n4 )
= $true )
| ( ( leq @ n0 @ SV468 )
= $false )
| ( ( leq @ SV468 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3221]) ).
thf(3230,plain,
! [SV470: $i] :
( ( ( SV470 = n0 )
= $true )
| ( ( SV470 = n1 )
= $true )
| ( ( SV470 = n2 )
= $true )
| ( ( leq @ n0 @ SV470 )
= $false )
| ( ( leq @ SV470 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3223]) ).
thf(3231,plain,
! [SV471: $i] :
( ( ( ( SV471 = n0 )
| ( SV471 = n1 ) )
= $true )
| ( ( SV471 = n2 )
= $true )
| ( ( SV471 = n3 )
= $true )
| ( ( leq @ n0 @ SV471 )
= $false )
| ( ( leq @ SV471 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3224]) ).
thf(3232,plain,
! [SV490: $i,SV487: $i,SV483: $i,SV478: $i,SV472: $i] :
( ( ( ~ ( ( SV472 != SV478 ) ) )
= $true )
| ( ( ( a_select2 @ SV483 @ SV478 )
!= SV487 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SV490 ) @ SV478 )
= SV487 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3225]) ).
thf(3233,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) )
| ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3234,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ( ~ ( ~ ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) )
| ~ ( leq @ n0 @ SV475 ) ) )
= $false )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3235,plain,
! [SV467: $i] :
( ( ( ( SV467 = n0 )
| ( SV467 = n1 )
| ( SV467 = n2 ) )
= $true )
| ( ( SV467 = n3 )
= $true )
| ( ( SV467 = n4 )
= $true )
| ( ( SV467 = n5 )
= $true )
| ( ( leq @ n0 @ SV467 )
= $false )
| ( ( leq @ SV467 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3228]) ).
thf(3236,plain,
! [SV468: $i] :
( ( ( ( SV468 = n0 )
| ( SV468 = n1 ) )
= $true )
| ( ( SV468 = n2 )
= $true )
| ( ( SV468 = n3 )
= $true )
| ( ( SV468 = n4 )
= $true )
| ( ( leq @ n0 @ SV468 )
= $false )
| ( ( leq @ SV468 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3229]) ).
thf(3237,plain,
! [SV471: $i] :
( ( ( SV471 = n0 )
= $true )
| ( ( SV471 = n1 )
= $true )
| ( ( SV471 = n2 )
= $true )
| ( ( SV471 = n3 )
= $true )
| ( ( leq @ n0 @ SV471 )
= $false )
| ( ( leq @ SV471 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3231]) ).
thf(3238,plain,
! [SV490: $i,SV487: $i,SV483: $i,SV478: $i,SV472: $i] :
( ( ( SV472 != SV478 )
= $false )
| ( ( ( a_select2 @ SV483 @ SV478 )
!= SV487 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SV490 ) @ SV478 )
= SV487 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3239,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) )
| ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3233]) ).
thf(3240,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ( ~ ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) )
| ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3234]) ).
thf(3241,plain,
! [SV467: $i] :
( ( ( ( SV467 = n0 )
| ( SV467 = n1 ) )
= $true )
| ( ( SV467 = n2 )
= $true )
| ( ( SV467 = n3 )
= $true )
| ( ( SV467 = n4 )
= $true )
| ( ( SV467 = n5 )
= $true )
| ( ( leq @ n0 @ SV467 )
= $false )
| ( ( leq @ SV467 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3235]) ).
thf(3242,plain,
! [SV468: $i] :
( ( ( SV468 = n0 )
= $true )
| ( ( SV468 = n1 )
= $true )
| ( ( SV468 = n2 )
= $true )
| ( ( SV468 = n3 )
= $true )
| ( ( SV468 = n4 )
= $true )
| ( ( leq @ n0 @ SV468 )
= $false )
| ( ( leq @ SV468 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3236]) ).
thf(3243,plain,
! [SV490: $i,SV487: $i,SV483: $i,SV478: $i,SV472: $i] :
( ( ( SV472 = SV478 )
= $true )
| ( ( ( a_select2 @ SV483 @ SV478 )
!= SV487 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SV490 ) @ SV478 )
= SV487 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3238]) ).
thf(3244,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( ~ ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) ) )
= $true )
| ( ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3239]) ).
thf(3245,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ( ~ ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3240]) ).
thf(3246,plain,
! [SV467: $i] :
( ( ( SV467 = n0 )
= $true )
| ( ( SV467 = n1 )
= $true )
| ( ( SV467 = n2 )
= $true )
| ( ( SV467 = n3 )
= $true )
| ( ( SV467 = n4 )
= $true )
| ( ( SV467 = n5 )
= $true )
| ( ( leq @ n0 @ SV467 )
= $false )
| ( ( leq @ SV467 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3241]) ).
thf(3247,plain,
! [SV490: $i,SV472: $i,SV487: $i,SV478: $i,SV483: $i] :
( ( ( ( a_select2 @ SV483 @ SV478 )
= SV487 )
= $false )
| ( ( SV472 = SV478 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV483 @ SV472 @ SV490 ) @ SV478 )
= SV487 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3248,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( ~ ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) ) )
= $false )
| ( ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3249,plain,
! [SV475: $i,SV489: $i,SV485: $i,SV480: $i] :
( ( ( ! [SY876: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY876 )
| ~ ( leq @ SY876 @ SV480 ) )
| ( ( a_select2 @ SV485 @ SY876 )
= SV489 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3245]) ).
thf(3250,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( ~ ( ( SV473 != SV484 ) )
| ( SV479 != SV488 ) )
= $true )
| ( ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3248]) ).
thf(3251,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
| ~ ( leq @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) @ SV480 ) )
| ( ( a_select2 @ SV485 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
= SV489 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3249]) ).
thf(3252,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( ~ ( ( SV473 != SV484 ) ) )
= $true )
| ( ( SV479 != SV488 )
= $true )
| ( ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3250]) ).
thf(3253,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
| ~ ( leq @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) @ SV480 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3251]) ).
thf(3254,plain,
! [SV480: $i,SV489: $i,SV475: $i,SV485: $i] :
( ( ( ( a_select2 @ SV485 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
= SV489 )
= $false )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3251]) ).
thf(3255,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( SV473 != SV484 )
= $false )
| ( ( SV479 != SV488 )
= $true )
| ( ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3256,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
| ~ ( leq @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) @ SV480 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3253]) ).
thf(3257,plain,
! [SV480: $i,SV489: $i,SV485: $i,SV475: $i] :
( ( ( leq @ n0 @ SV475 )
= $false )
| ( ( ( a_select2 @ SV485 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
= SV489 )
= $false )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3254]) ).
thf(3258,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV488: $i,SV479: $i,SV484: $i,SV473: $i] :
( ( ( SV473 = SV484 )
= $true )
| ( ( SV479 != SV488 )
= $true )
| ( ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3255]) ).
thf(3259,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( ~ ( leq @ n0 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
| ~ ( leq @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) @ SV480 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3256]) ).
thf(3260,plain,
! [SV489: $i,SV485: $i,SV480: $i,SV475: $i] :
( ( ( leq @ SV475 @ SV480 )
= $false )
| ( ( ( a_select2 @ SV485 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
= SV489 )
= $false )
| ( ( leq @ n0 @ SV475 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3257]) ).
thf(3261,plain,
! [SV493: $i,SV492: $i,SV491: $i,SV484: $i,SV473: $i,SV488: $i,SV479: $i] :
( ( ( SV479 = SV488 )
= $false )
| ( ( SV473 = SV484 )
= $true )
| ( ( ( a_select3 @ SV491 @ SV484 @ SV488 )
!= SV492 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3258]) ).
thf(3262,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( ~ ( leq @ n0 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3263,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( ~ ( leq @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) @ SV480 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3264,plain,
! [SV493: $i,SV479: $i,SV473: $i,SV492: $i,SV488: $i,SV484: $i,SV491: $i] :
( ( ( ( a_select3 @ SV491 @ SV484 @ SV488 )
= SV492 )
= $false )
| ( ( SV473 = SV484 )
= $true )
| ( ( SV479 = SV488 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV491 @ SV473 @ SV479 @ SV493 ) @ SV484 @ SV488 )
= SV492 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3261]) ).
thf(3265,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( leq @ n0 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3262]) ).
thf(3266,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( leq @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) @ SV480 )
= $true )
| ( ( ~ ( leq @ n0 @ SV475 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3263]) ).
thf(3267,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( leq @ n0 @ SV475 )
= $false )
| ( ( leq @ n0 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3265]) ).
thf(3268,plain,
! [SV480: $i,SV485: $i,SV489: $i,SV475: $i] :
( ( ( leq @ n0 @ SV475 )
= $false )
| ( ( leq @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) @ SV480 )
= $true )
| ( ( ~ ( leq @ SV475 @ SV480 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3266]) ).
thf(3269,plain,
! [SV485: $i,SV489: $i,SV480: $i,SV475: $i] :
( ( ( leq @ SV475 @ SV480 )
= $false )
| ( ( leq @ n0 @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) )
= $true )
| ( ( leq @ n0 @ SV475 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3267]) ).
thf(3270,plain,
! [SV485: $i,SV489: $i,SV480: $i,SV475: $i] :
( ( ( leq @ SV475 @ SV480 )
= $false )
| ( ( leq @ ( sK17_SY876 @ SV475 @ SV489 @ SV485 @ SV480 ) @ SV480 )
= $true )
| ( ( leq @ n0 @ SV475 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV485 @ SV480 @ SV489 ) @ SV475 )
= SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3268]) ).
thf(3271,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[3096,3270,3269,3264,3260,3247,3246,3242,3237,3230,3222,3218,3183,3173,3154,3150,3136,3135,3134,3133,3132,3131,3130,3129,3128,3127,3126,3125,3124,3123,3122,3121,3120,3119,3118,3117,3110,3109,3108,3107,3106,3105,3104,3103,3102,3101,3100,3099,3098,3097]) ).
thf(3272,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(3273,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(3274,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(3275,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(3276,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(3277,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(3278,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(3279,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(3280,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(3281,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(3282,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(3283,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(3284,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(3285,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(3286,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(3287,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(3288,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(3289,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(3290,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(3291,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(3292,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(3293,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(3294,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(3295,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(3296,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(3297,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(3298,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(3299,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(3300,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(3301,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(3302,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(3303,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(3304,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(3305,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(3306,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(3307,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(3308,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(3309,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(3310,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(3311,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(3312,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(3313,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(3314,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(3315,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(3316,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(3317,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(3318,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(3319,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(3320,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3296]) ).
thf(3321,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3297]) ).
thf(3322,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3295]) ).
thf(3323,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[3277]) ).
thf(3324,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3273]) ).
thf(3325,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3294]) ).
thf(3326,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3293]) ).
thf(3327,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3298]) ).
thf(3328,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3275]) ).
thf(3329,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3276]) ).
thf(3330,plain,
! [SV494: $i] :
( ( ! [SY880: $i,SY881: $i,SY882: $i] :
( ( a_select3 @ ( tptp_update3 @ SV494 @ SY880 @ SY881 @ SY882 ) @ SY880 @ SY881 )
= SY882 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3272]) ).
thf(3331,plain,
! [SV495: $i] :
( ( ! [SY883: $i,SY884: $i] :
( ( a_select2 @ ( tptp_update2 @ SV495 @ SY883 @ SY884 ) @ SY883 )
= SY884 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3274]) ).
thf(3332,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3319]) ).
thf(3333,plain,
! [SV496: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV496 )
| ~ ( leq @ SV496 @ n1 ) )
| ( SV496 = n0 )
| ( SV496 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3320]) ).
thf(3334,plain,
! [SV497: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV497 )
| ~ ( leq @ SV497 @ n2 ) )
| ( SV497 = n0 )
| ( SV497 = n1 )
| ( SV497 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3321]) ).
thf(3335,plain,
! [SV498: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV498 )
| ~ ( leq @ SV498 @ n0 ) )
| ( SV498 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3322]) ).
thf(3336,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3337,plain,
! [SV499: $i] :
( ( ! [SY885: $i,SY886: $i,SY887: $i,SY888: $i,SY889: $i,SY890: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV499 != SY886 ) )
| ( SY885 != SY887 ) )
| ( ( a_select3 @ SY888 @ SY886 @ SY887 )
!= SY889 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY888 @ SV499 @ SY885 @ SY890 ) @ SY886 @ SY887 )
= SY889 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3324]) ).
thf(3338,plain,
! [SV500: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV500 )
| ~ ( leq @ SV500 @ n5 ) )
| ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 )
| ( SV500 = n4 )
| ( SV500 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3325]) ).
thf(3339,plain,
! [SV501: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV501 )
| ~ ( leq @ SV501 @ n4 ) )
| ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 )
| ( SV501 = n3 )
| ( SV501 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3326]) ).
thf(3340,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV502 )
| ~ ( leq @ SV502 @ n3 ) )
| ( SV502 = n0 )
| ( SV502 = n1 )
| ( SV502 = n2 )
| ( SV502 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3327]) ).
thf(3341,plain,
! [SV503: $i] :
( ( ! [SY891: $i,SY892: $i,SY893: $i,SY894: $i] :
( ~ ~ ( ~ ( ( SV503 != SY891 ) )
| ( ( a_select2 @ SY892 @ SY891 )
!= SY893 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY892 @ SV503 @ SY894 ) @ SY891 )
= SY893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3328]) ).
thf(3342,plain,
! [SV504: $i] :
( ( ! [SY895: $i,SY896: $i,SY897: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY895 ) )
| ( ( a_select2 @ SY896 @ SX4 )
= SY897 ) )
| ~ ( leq @ n0 @ SV504 ) )
| ~ ( leq @ SV504 @ SY895 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY896 @ SY895 @ SY897 ) @ SV504 )
= SY897 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3329]) ).
thf(3343,plain,
! [SV505: $i,SV494: $i] :
( ( ! [SY899: $i,SY900: $i] :
( ( a_select3 @ ( tptp_update3 @ SV494 @ SV505 @ SY899 @ SY900 ) @ SV505 @ SY899 )
= SY900 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3330]) ).
thf(3344,plain,
! [SV506: $i,SV495: $i] :
( ( ! [SY901: $i] :
( ( a_select2 @ ( tptp_update2 @ SV495 @ SV506 @ SY901 ) @ SV506 )
= SY901 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3331]) ).
thf(3345,plain,
! [SV496: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV496 )
| ~ ( leq @ SV496 @ n1 ) ) )
= $true )
| ( ( ( SV496 = n0 )
| ( SV496 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3333]) ).
thf(3346,plain,
! [SV497: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV497 )
| ~ ( leq @ SV497 @ n2 ) ) )
= $true )
| ( ( ( SV497 = n0 )
| ( SV497 = n1 )
| ( SV497 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3334]) ).
thf(3347,plain,
! [SV498: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV498 )
| ~ ( leq @ SV498 @ n0 ) ) )
= $true )
| ( ( SV498 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3335]) ).
thf(3348,plain,
! [SV507: $i,SV499: $i] :
( ( ! [SY902: $i,SY903: $i,SY904: $i,SY905: $i,SY906: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV499 != SY902 ) )
| ( SV507 != SY903 ) )
| ( ( a_select3 @ SY904 @ SY902 @ SY903 )
!= SY905 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY904 @ SV499 @ SV507 @ SY906 ) @ SY902 @ SY903 )
= SY905 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3337]) ).
thf(3349,plain,
! [SV500: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV500 )
| ~ ( leq @ SV500 @ n5 ) ) )
= $true )
| ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 )
| ( SV500 = n4 )
| ( SV500 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3338]) ).
thf(3350,plain,
! [SV501: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV501 )
| ~ ( leq @ SV501 @ n4 ) ) )
= $true )
| ( ( ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 )
| ( SV501 = n3 )
| ( SV501 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3339]) ).
thf(3351,plain,
! [SV502: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV502 )
| ~ ( leq @ SV502 @ n3 ) ) )
= $true )
| ( ( ( SV502 = n0 )
| ( SV502 = n1 )
| ( SV502 = n2 )
| ( SV502 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3340]) ).
thf(3352,plain,
! [SV508: $i,SV503: $i] :
( ( ! [SY907: $i,SY908: $i,SY909: $i] :
( ~ ~ ( ~ ( ( SV503 != SV508 ) )
| ( ( a_select2 @ SY907 @ SV508 )
!= SY908 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY907 @ SV503 @ SY909 ) @ SV508 )
= SY908 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3341]) ).
thf(3353,plain,
! [SV504: $i,SV509: $i] :
( ( ! [SY910: $i,SY911: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY912: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY912 )
| ~ ( leq @ SY912 @ SV509 ) )
| ( ( a_select2 @ SY910 @ SY912 )
= SY911 ) )
| ~ ( leq @ n0 @ SV504 ) )
| ~ ( leq @ SV504 @ SV509 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY910 @ SV509 @ SY911 ) @ SV504 )
= SY911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3342]) ).
thf(3354,plain,
! [SV510: $i,SV505: $i,SV494: $i] :
( ( ! [SY913: $i] :
( ( a_select3 @ ( tptp_update3 @ SV494 @ SV505 @ SV510 @ SY913 ) @ SV505 @ SV510 )
= SY913 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3343]) ).
thf(3355,plain,
! [SV511: $i,SV506: $i,SV495: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV495 @ SV506 @ SV511 ) @ SV506 )
= SV511 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3344]) ).
thf(3356,plain,
! [SV496: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV496 )
| ~ ( leq @ SV496 @ n1 ) ) )
= $false )
| ( ( ( SV496 = n0 )
| ( SV496 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3345]) ).
thf(3357,plain,
! [SV497: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV497 )
| ~ ( leq @ SV497 @ n2 ) ) )
= $false )
| ( ( ( SV497 = n0 )
| ( SV497 = n1 )
| ( SV497 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3346]) ).
thf(3358,plain,
! [SV498: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV498 )
| ~ ( leq @ SV498 @ n0 ) ) )
= $false )
| ( ( SV498 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3347]) ).
thf(3359,plain,
! [SV507: $i,SV512: $i,SV499: $i] :
( ( ! [SY914: $i,SY915: $i,SY916: $i,SY917: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SY914 ) )
| ( ( a_select3 @ SY915 @ SV512 @ SY914 )
!= SY916 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY915 @ SV499 @ SV507 @ SY917 ) @ SV512 @ SY914 )
= SY916 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3348]) ).
thf(3360,plain,
! [SV500: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV500 )
| ~ ( leq @ SV500 @ n5 ) ) )
= $false )
| ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 )
| ( SV500 = n4 )
| ( SV500 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3349]) ).
thf(3361,plain,
! [SV501: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV501 )
| ~ ( leq @ SV501 @ n4 ) ) )
= $false )
| ( ( ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 )
| ( SV501 = n3 )
| ( SV501 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3350]) ).
thf(3362,plain,
! [SV502: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV502 )
| ~ ( leq @ SV502 @ n3 ) ) )
= $false )
| ( ( ( SV502 = n0 )
| ( SV502 = n1 )
| ( SV502 = n2 )
| ( SV502 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3351]) ).
thf(3363,plain,
! [SV513: $i,SV508: $i,SV503: $i] :
( ( ! [SY918: $i,SY919: $i] :
( ~ ~ ( ~ ( ( SV503 != SV508 ) )
| ( ( a_select2 @ SV513 @ SV508 )
!= SY918 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SY919 ) @ SV508 )
= SY918 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3352]) ).
thf(3364,plain,
! [SV504: $i,SV514: $i,SV509: $i] :
( ( ! [SY920: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY921: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY921 )
| ~ ( leq @ SY921 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY921 )
= SY920 ) )
| ~ ( leq @ n0 @ SV504 ) )
| ~ ( leq @ SV504 @ SV509 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SY920 ) @ SV504 )
= SY920 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3353]) ).
thf(3365,plain,
! [SV515: $i,SV510: $i,SV505: $i,SV494: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV494 @ SV505 @ SV510 @ SV515 ) @ SV505 @ SV510 )
= SV515 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3354]) ).
thf(3366,plain,
! [SV496: $i] :
( ( ( ~ ( leq @ n0 @ SV496 )
| ~ ( leq @ SV496 @ n1 ) )
= $true )
| ( ( ( SV496 = n0 )
| ( SV496 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3356]) ).
thf(3367,plain,
! [SV497: $i] :
( ( ( ~ ( leq @ n0 @ SV497 )
| ~ ( leq @ SV497 @ n2 ) )
= $true )
| ( ( ( SV497 = n0 )
| ( SV497 = n1 )
| ( SV497 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3357]) ).
thf(3368,plain,
! [SV498: $i] :
( ( ( ~ ( leq @ n0 @ SV498 )
| ~ ( leq @ SV498 @ n0 ) )
= $true )
| ( ( SV498 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3358]) ).
thf(3369,plain,
! [SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ! [SY922: $i,SY923: $i,SY924: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) )
| ( ( a_select3 @ SY922 @ SV512 @ SV516 )
!= SY923 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY922 @ SV499 @ SV507 @ SY924 ) @ SV512 @ SV516 )
= SY923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3359]) ).
thf(3370,plain,
! [SV500: $i] :
( ( ( ~ ( leq @ n0 @ SV500 )
| ~ ( leq @ SV500 @ n5 ) )
= $true )
| ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 )
| ( SV500 = n4 )
| ( SV500 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3360]) ).
thf(3371,plain,
! [SV501: $i] :
( ( ( ~ ( leq @ n0 @ SV501 )
| ~ ( leq @ SV501 @ n4 ) )
= $true )
| ( ( ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 )
| ( SV501 = n3 )
| ( SV501 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3361]) ).
thf(3372,plain,
! [SV502: $i] :
( ( ( ~ ( leq @ n0 @ SV502 )
| ~ ( leq @ SV502 @ n3 ) )
= $true )
| ( ( ( SV502 = n0 )
| ( SV502 = n1 )
| ( SV502 = n2 )
| ( SV502 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3362]) ).
thf(3373,plain,
! [SV517: $i,SV513: $i,SV508: $i,SV503: $i] :
( ( ! [SY925: $i] :
( ~ ~ ( ~ ( ( SV503 != SV508 ) )
| ( ( a_select2 @ SV513 @ SV508 )
!= SV517 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SY925 ) @ SV508 )
= SV517 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3363]) ).
thf(3374,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) )
| ~ ( leq @ n0 @ SV504 ) )
| ~ ( leq @ SV504 @ SV509 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3364]) ).
thf(3375,plain,
! [SV496: $i] :
( ( ( ~ ( leq @ n0 @ SV496 ) )
= $true )
| ( ( ~ ( leq @ SV496 @ n1 ) )
= $true )
| ( ( ( SV496 = n0 )
| ( SV496 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3366]) ).
thf(3376,plain,
! [SV497: $i] :
( ( ( ~ ( leq @ n0 @ SV497 ) )
= $true )
| ( ( ~ ( leq @ SV497 @ n2 ) )
= $true )
| ( ( ( SV497 = n0 )
| ( SV497 = n1 )
| ( SV497 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3367]) ).
thf(3377,plain,
! [SV498: $i] :
( ( ( ~ ( leq @ n0 @ SV498 ) )
= $true )
| ( ( ~ ( leq @ SV498 @ n0 ) )
= $true )
| ( ( SV498 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3368]) ).
thf(3378,plain,
! [SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ! [SY927: $i,SY928: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) )
| ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SY927 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SY928 ) @ SV512 @ SV516 )
= SY927 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3369]) ).
thf(3379,plain,
! [SV500: $i] :
( ( ( ~ ( leq @ n0 @ SV500 ) )
= $true )
| ( ( ~ ( leq @ SV500 @ n5 ) )
= $true )
| ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 )
| ( SV500 = n4 )
| ( SV500 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3370]) ).
thf(3380,plain,
! [SV501: $i] :
( ( ( ~ ( leq @ n0 @ SV501 ) )
= $true )
| ( ( ~ ( leq @ SV501 @ n4 ) )
= $true )
| ( ( ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 )
| ( SV501 = n3 )
| ( SV501 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3371]) ).
thf(3381,plain,
! [SV502: $i] :
( ( ( ~ ( leq @ n0 @ SV502 ) )
= $true )
| ( ( ~ ( leq @ SV502 @ n3 ) )
= $true )
| ( ( ( SV502 = n0 )
| ( SV502 = n1 )
| ( SV502 = n2 )
| ( SV502 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3372]) ).
thf(3382,plain,
! [SV520: $i,SV517: $i,SV513: $i,SV508: $i,SV503: $i] :
( ( ~ ~ ( ~ ( ( SV503 != SV508 ) )
| ( ( a_select2 @ SV513 @ SV508 )
!= SV517 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SV520 ) @ SV508 )
= SV517 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3373]) ).
thf(3383,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) )
| ~ ( leq @ n0 @ SV504 ) )
| ~ ( leq @ SV504 @ SV509 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3374]) ).
thf(3384,plain,
! [SV496: $i] :
( ( ( leq @ n0 @ SV496 )
= $false )
| ( ( ~ ( leq @ SV496 @ n1 ) )
= $true )
| ( ( ( SV496 = n0 )
| ( SV496 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3375]) ).
thf(3385,plain,
! [SV497: $i] :
( ( ( leq @ n0 @ SV497 )
= $false )
| ( ( ~ ( leq @ SV497 @ n2 ) )
= $true )
| ( ( ( SV497 = n0 )
| ( SV497 = n1 )
| ( SV497 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3376]) ).
thf(3386,plain,
! [SV498: $i] :
( ( ( leq @ n0 @ SV498 )
= $false )
| ( ( ~ ( leq @ SV498 @ n0 ) )
= $true )
| ( ( SV498 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3377]) ).
thf(3387,plain,
! [SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ! [SY929: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) )
| ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SY929 ) @ SV512 @ SV516 )
= SV521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3378]) ).
thf(3388,plain,
! [SV500: $i] :
( ( ( leq @ n0 @ SV500 )
= $false )
| ( ( ~ ( leq @ SV500 @ n5 ) )
= $true )
| ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 )
| ( SV500 = n4 )
| ( SV500 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3379]) ).
thf(3389,plain,
! [SV501: $i] :
( ( ( leq @ n0 @ SV501 )
= $false )
| ( ( ~ ( leq @ SV501 @ n4 ) )
= $true )
| ( ( ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 )
| ( SV501 = n3 )
| ( SV501 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3390,plain,
! [SV502: $i] :
( ( ( leq @ n0 @ SV502 )
= $false )
| ( ( ~ ( leq @ SV502 @ n3 ) )
= $true )
| ( ( ( SV502 = n0 )
| ( SV502 = n1 )
| ( SV502 = n2 )
| ( SV502 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3381]) ).
thf(3391,plain,
! [SV520: $i,SV517: $i,SV513: $i,SV508: $i,SV503: $i] :
( ( ( ~ ~ ( ~ ( ( SV503 != SV508 ) )
| ( ( a_select2 @ SV513 @ SV508 )
!= SV517 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SV520 ) @ SV508 )
= SV517 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3382]) ).
thf(3392,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) )
| ~ ( leq @ n0 @ SV504 ) )
| ~ ( leq @ SV504 @ SV509 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3383]) ).
thf(3393,plain,
! [SV496: $i] :
( ( ( leq @ SV496 @ n1 )
= $false )
| ( ( leq @ n0 @ SV496 )
= $false )
| ( ( ( SV496 = n0 )
| ( SV496 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3384]) ).
thf(3394,plain,
! [SV497: $i] :
( ( ( leq @ SV497 @ n2 )
= $false )
| ( ( leq @ n0 @ SV497 )
= $false )
| ( ( ( SV497 = n0 )
| ( SV497 = n1 )
| ( SV497 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3385]) ).
thf(3395,plain,
! [SV498: $i] :
( ( ( leq @ SV498 @ n0 )
= $false )
| ( ( leq @ n0 @ SV498 )
= $false )
| ( ( SV498 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3386]) ).
thf(3396,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) )
| ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3387]) ).
thf(3397,plain,
! [SV500: $i] :
( ( ( leq @ SV500 @ n5 )
= $false )
| ( ( leq @ n0 @ SV500 )
= $false )
| ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 )
| ( SV500 = n4 )
| ( SV500 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3388]) ).
thf(3398,plain,
! [SV501: $i] :
( ( ( leq @ SV501 @ n4 )
= $false )
| ( ( leq @ n0 @ SV501 )
= $false )
| ( ( ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 )
| ( SV501 = n3 )
| ( SV501 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3389]) ).
thf(3399,plain,
! [SV502: $i] :
( ( ( leq @ SV502 @ n3 )
= $false )
| ( ( leq @ n0 @ SV502 )
= $false )
| ( ( ( SV502 = n0 )
| ( SV502 = n1 )
| ( SV502 = n2 )
| ( SV502 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3390]) ).
thf(3400,plain,
! [SV520: $i,SV517: $i,SV513: $i,SV508: $i,SV503: $i] :
( ( ( ~ ( ~ ( ( SV503 != SV508 ) )
| ( ( a_select2 @ SV513 @ SV508 )
!= SV517 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SV520 ) @ SV508 )
= SV517 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3391]) ).
thf(3401,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ( ~ ~ ( ~ ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) )
| ~ ( leq @ n0 @ SV504 ) )
| ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3392]) ).
thf(3402,plain,
! [SV496: $i] :
( ( ( SV496 = n0 )
= $true )
| ( ( SV496 = n1 )
= $true )
| ( ( leq @ n0 @ SV496 )
= $false )
| ( ( leq @ SV496 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3393]) ).
thf(3403,plain,
! [SV497: $i] :
( ( ( ( SV497 = n0 )
| ( SV497 = n1 ) )
= $true )
| ( ( SV497 = n2 )
= $true )
| ( ( leq @ n0 @ SV497 )
= $false )
| ( ( leq @ SV497 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3394]) ).
thf(3404,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) )
| ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3396]) ).
thf(3405,plain,
! [SV500: $i] :
( ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 )
| ( SV500 = n4 ) )
= $true )
| ( ( SV500 = n5 )
= $true )
| ( ( leq @ n0 @ SV500 )
= $false )
| ( ( leq @ SV500 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3397]) ).
thf(3406,plain,
! [SV501: $i] :
( ( ( ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 )
| ( SV501 = n3 ) )
= $true )
| ( ( SV501 = n4 )
= $true )
| ( ( leq @ n0 @ SV501 )
= $false )
| ( ( leq @ SV501 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3398]) ).
thf(3407,plain,
! [SV502: $i] :
( ( ( ( SV502 = n0 )
| ( SV502 = n1 )
| ( SV502 = n2 ) )
= $true )
| ( ( SV502 = n3 )
= $true )
| ( ( leq @ n0 @ SV502 )
= $false )
| ( ( leq @ SV502 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3399]) ).
thf(3408,plain,
! [SV520: $i,SV517: $i,SV513: $i,SV508: $i,SV503: $i] :
( ( ( ~ ( ( SV503 != SV508 ) )
| ( ( a_select2 @ SV513 @ SV508 )
!= SV517 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SV520 ) @ SV508 )
= SV517 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3400]) ).
thf(3409,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ( ~ ~ ( ~ ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) )
| ~ ( leq @ n0 @ SV504 ) ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3401]) ).
thf(3410,plain,
! [SV497: $i] :
( ( ( SV497 = n0 )
= $true )
| ( ( SV497 = n1 )
= $true )
| ( ( SV497 = n2 )
= $true )
| ( ( leq @ n0 @ SV497 )
= $false )
| ( ( leq @ SV497 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3403]) ).
thf(3411,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) )
| ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3404]) ).
thf(3412,plain,
! [SV500: $i] :
( ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 )
| ( SV500 = n3 ) )
= $true )
| ( ( SV500 = n4 )
= $true )
| ( ( SV500 = n5 )
= $true )
| ( ( leq @ n0 @ SV500 )
= $false )
| ( ( leq @ SV500 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3405]) ).
thf(3413,plain,
! [SV501: $i] :
( ( ( ( SV501 = n0 )
| ( SV501 = n1 )
| ( SV501 = n2 ) )
= $true )
| ( ( SV501 = n3 )
= $true )
| ( ( SV501 = n4 )
= $true )
| ( ( leq @ n0 @ SV501 )
= $false )
| ( ( leq @ SV501 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3406]) ).
thf(3414,plain,
! [SV502: $i] :
( ( ( ( SV502 = n0 )
| ( SV502 = n1 ) )
= $true )
| ( ( SV502 = n2 )
= $true )
| ( ( SV502 = n3 )
= $true )
| ( ( leq @ n0 @ SV502 )
= $false )
| ( ( leq @ SV502 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3407]) ).
thf(3415,plain,
! [SV520: $i,SV517: $i,SV513: $i,SV508: $i,SV503: $i] :
( ( ( ~ ( ( SV503 != SV508 ) ) )
= $true )
| ( ( ( a_select2 @ SV513 @ SV508 )
!= SV517 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SV520 ) @ SV508 )
= SV517 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3408]) ).
thf(3416,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ( ~ ( ~ ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) )
| ~ ( leq @ n0 @ SV504 ) ) )
= $false )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3409]) ).
thf(3417,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) )
| ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3411]) ).
thf(3418,plain,
! [SV500: $i] :
( ( ( ( SV500 = n0 )
| ( SV500 = n1 )
| ( SV500 = n2 ) )
= $true )
| ( ( SV500 = n3 )
= $true )
| ( ( SV500 = n4 )
= $true )
| ( ( SV500 = n5 )
= $true )
| ( ( leq @ n0 @ SV500 )
= $false )
| ( ( leq @ SV500 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3412]) ).
thf(3419,plain,
! [SV501: $i] :
( ( ( ( SV501 = n0 )
| ( SV501 = n1 ) )
= $true )
| ( ( SV501 = n2 )
= $true )
| ( ( SV501 = n3 )
= $true )
| ( ( SV501 = n4 )
= $true )
| ( ( leq @ n0 @ SV501 )
= $false )
| ( ( leq @ SV501 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3413]) ).
thf(3420,plain,
! [SV502: $i] :
( ( ( SV502 = n0 )
= $true )
| ( ( SV502 = n1 )
= $true )
| ( ( SV502 = n2 )
= $true )
| ( ( SV502 = n3 )
= $true )
| ( ( leq @ n0 @ SV502 )
= $false )
| ( ( leq @ SV502 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3414]) ).
thf(3421,plain,
! [SV520: $i,SV517: $i,SV513: $i,SV508: $i,SV503: $i] :
( ( ( SV503 != SV508 )
= $false )
| ( ( ( a_select2 @ SV513 @ SV508 )
!= SV517 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SV520 ) @ SV508 )
= SV517 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3415]) ).
thf(3422,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ( ~ ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) )
| ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3416]) ).
thf(3423,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( ~ ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) ) )
= $true )
| ( ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3417]) ).
thf(3424,plain,
! [SV500: $i] :
( ( ( ( SV500 = n0 )
| ( SV500 = n1 ) )
= $true )
| ( ( SV500 = n2 )
= $true )
| ( ( SV500 = n3 )
= $true )
| ( ( SV500 = n4 )
= $true )
| ( ( SV500 = n5 )
= $true )
| ( ( leq @ n0 @ SV500 )
= $false )
| ( ( leq @ SV500 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3418]) ).
thf(3425,plain,
! [SV501: $i] :
( ( ( SV501 = n0 )
= $true )
| ( ( SV501 = n1 )
= $true )
| ( ( SV501 = n2 )
= $true )
| ( ( SV501 = n3 )
= $true )
| ( ( SV501 = n4 )
= $true )
| ( ( leq @ n0 @ SV501 )
= $false )
| ( ( leq @ SV501 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3419]) ).
thf(3426,plain,
! [SV520: $i,SV517: $i,SV513: $i,SV508: $i,SV503: $i] :
( ( ( SV503 = SV508 )
= $true )
| ( ( ( a_select2 @ SV513 @ SV508 )
!= SV517 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SV520 ) @ SV508 )
= SV517 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3421]) ).
thf(3427,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ( ~ ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3422]) ).
thf(3428,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( ~ ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) ) )
= $false )
| ( ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3423]) ).
thf(3429,plain,
! [SV500: $i] :
( ( ( SV500 = n0 )
= $true )
| ( ( SV500 = n1 )
= $true )
| ( ( SV500 = n2 )
= $true )
| ( ( SV500 = n3 )
= $true )
| ( ( SV500 = n4 )
= $true )
| ( ( SV500 = n5 )
= $true )
| ( ( leq @ n0 @ SV500 )
= $false )
| ( ( leq @ SV500 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3424]) ).
thf(3430,plain,
! [SV520: $i,SV503: $i,SV517: $i,SV508: $i,SV513: $i] :
( ( ( ( a_select2 @ SV513 @ SV508 )
= SV517 )
= $false )
| ( ( SV503 = SV508 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV513 @ SV503 @ SV520 ) @ SV508 )
= SV517 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3426]) ).
thf(3431,plain,
! [SV504: $i,SV518: $i,SV514: $i,SV509: $i] :
( ( ( ! [SY926: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY926 )
| ~ ( leq @ SY926 @ SV509 ) )
| ( ( a_select2 @ SV514 @ SY926 )
= SV518 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3427]) ).
thf(3432,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( ~ ( ( SV499 != SV512 ) )
| ( SV507 != SV516 ) )
= $true )
| ( ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3428]) ).
thf(3433,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
| ~ ( leq @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) @ SV509 ) )
| ( ( a_select2 @ SV514 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
= SV518 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3431]) ).
thf(3434,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( ~ ( ( SV499 != SV512 ) ) )
= $true )
| ( ( SV507 != SV516 )
= $true )
| ( ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3432]) ).
thf(3435,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
| ~ ( leq @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) @ SV509 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3433]) ).
thf(3436,plain,
! [SV509: $i,SV518: $i,SV504: $i,SV514: $i] :
( ( ( ( a_select2 @ SV514 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
= SV518 )
= $false )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3433]) ).
thf(3437,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( SV499 != SV512 )
= $false )
| ( ( SV507 != SV516 )
= $true )
| ( ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3434]) ).
thf(3438,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
| ~ ( leq @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) @ SV509 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3435]) ).
thf(3439,plain,
! [SV509: $i,SV518: $i,SV514: $i,SV504: $i] :
( ( ( leq @ n0 @ SV504 )
= $false )
| ( ( ( a_select2 @ SV514 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
= SV518 )
= $false )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3436]) ).
thf(3440,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV516: $i,SV507: $i,SV512: $i,SV499: $i] :
( ( ( SV499 = SV512 )
= $true )
| ( ( SV507 != SV516 )
= $true )
| ( ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3437]) ).
thf(3441,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( ~ ( leq @ n0 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
| ~ ( leq @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) @ SV509 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3438]) ).
thf(3442,plain,
! [SV518: $i,SV514: $i,SV509: $i,SV504: $i] :
( ( ( leq @ SV504 @ SV509 )
= $false )
| ( ( ( a_select2 @ SV514 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
= SV518 )
= $false )
| ( ( leq @ n0 @ SV504 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3439]) ).
thf(3443,plain,
! [SV522: $i,SV521: $i,SV519: $i,SV512: $i,SV499: $i,SV516: $i,SV507: $i] :
( ( ( SV507 = SV516 )
= $false )
| ( ( SV499 = SV512 )
= $true )
| ( ( ( a_select3 @ SV519 @ SV512 @ SV516 )
!= SV521 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3440]) ).
thf(3444,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( ~ ( leq @ n0 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3441]) ).
thf(3445,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( ~ ( leq @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) @ SV509 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3441]) ).
thf(3446,plain,
! [SV522: $i,SV507: $i,SV499: $i,SV521: $i,SV516: $i,SV512: $i,SV519: $i] :
( ( ( ( a_select3 @ SV519 @ SV512 @ SV516 )
= SV521 )
= $false )
| ( ( SV499 = SV512 )
= $true )
| ( ( SV507 = SV516 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV519 @ SV499 @ SV507 @ SV522 ) @ SV512 @ SV516 )
= SV521 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3443]) ).
thf(3447,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( leq @ n0 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3444]) ).
thf(3448,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( leq @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) @ SV509 )
= $true )
| ( ( ~ ( leq @ n0 @ SV504 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3445]) ).
thf(3449,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( leq @ n0 @ SV504 )
= $false )
| ( ( leq @ n0 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3450,plain,
! [SV509: $i,SV514: $i,SV518: $i,SV504: $i] :
( ( ( leq @ n0 @ SV504 )
= $false )
| ( ( leq @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) @ SV509 )
= $true )
| ( ( ~ ( leq @ SV504 @ SV509 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3448]) ).
thf(3451,plain,
! [SV514: $i,SV518: $i,SV509: $i,SV504: $i] :
( ( ( leq @ SV504 @ SV509 )
= $false )
| ( ( leq @ n0 @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) )
= $true )
| ( ( leq @ n0 @ SV504 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3449]) ).
thf(3452,plain,
! [SV514: $i,SV518: $i,SV509: $i,SV504: $i] :
( ( ( leq @ SV504 @ SV509 )
= $false )
| ( ( leq @ ( sK18_SY926 @ SV504 @ SV518 @ SV514 @ SV509 ) @ SV509 )
= $true )
| ( ( leq @ n0 @ SV504 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV514 @ SV509 @ SV518 ) @ SV504 )
= SV518 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3450]) ).
thf(3453,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[3278,3452,3451,3446,3442,3430,3429,3425,3420,3410,3402,3395,3365,3355,3336,3332,3318,3317,3316,3315,3314,3313,3312,3311,3310,3309,3308,3307,3306,3305,3304,3303,3302,3301,3300,3299,3292,3291,3290,3289,3288,3287,3286,3285,3284,3283,3282,3281,3280,3279]) ).
thf(3454,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(3455,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(3456,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(3457,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(3458,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(3459,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(3460,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(3461,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(3462,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(3463,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(3464,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(3465,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(3466,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(3467,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(3468,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(3469,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(3470,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(3471,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(3472,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(3473,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(3474,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(3475,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(3476,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(3477,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(3478,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(3479,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(3480,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(3481,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(3482,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(3483,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(3484,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(3485,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(3486,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(3487,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(3488,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(3489,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(3490,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(3491,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(3492,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(3493,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(3494,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(3495,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(3496,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(3497,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(3498,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(3499,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(3500,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(3501,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(3502,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3457]) ).
thf(3503,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3455]) ).
thf(3504,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3479]) ).
thf(3505,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3480]) ).
thf(3506,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3478]) ).
thf(3507,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3458]) ).
thf(3508,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3475]) ).
thf(3509,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3477]) ).
thf(3510,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3476]) ).
thf(3511,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[3459]) ).
thf(3512,plain,
! [SV523: $i] :
( ( ! [SY930: $i,SY931: $i,SY932: $i] :
( ( a_select3 @ ( tptp_update3 @ SV523 @ SY930 @ SY931 @ SY932 ) @ SY930 @ SY931 )
= SY932 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3454]) ).
thf(3513,plain,
! [SV524: $i] :
( ( ! [SY933: $i,SY934: $i] :
( ( a_select2 @ ( tptp_update2 @ SV524 @ SY933 @ SY934 ) @ SY933 )
= SY934 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3456]) ).
thf(3514,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3501]) ).
thf(3515,plain,
! [SV525: $i] :
( ( ! [SY935: $i,SY936: $i,SY937: $i,SY938: $i] :
( ~ ~ ( ~ ( ( SV525 != SY935 ) )
| ( ( a_select2 @ SY936 @ SY935 )
!= SY937 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY936 @ SV525 @ SY938 ) @ SY935 )
= SY937 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3502]) ).
thf(3516,plain,
! [SV526: $i] :
( ( ! [SY939: $i,SY940: $i,SY941: $i,SY942: $i,SY943: $i,SY944: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV526 != SY940 ) )
| ( SY939 != SY941 ) )
| ( ( a_select3 @ SY942 @ SY940 @ SY941 )
!= SY943 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY942 @ SV526 @ SY939 @ SY944 ) @ SY940 @ SY941 )
= SY943 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3503]) ).
thf(3517,plain,
! [SV527: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV527 )
| ~ ( leq @ SV527 @ n2 ) )
| ( SV527 = n0 )
| ( SV527 = n1 )
| ( SV527 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3504]) ).
thf(3518,plain,
! [SV528: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV528 )
| ~ ( leq @ SV528 @ n3 ) )
| ( SV528 = n0 )
| ( SV528 = n1 )
| ( SV528 = n2 )
| ( SV528 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3505]) ).
thf(3519,plain,
! [SV529: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV529 )
| ~ ( leq @ SV529 @ n1 ) )
| ( SV529 = n0 )
| ( SV529 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3506]) ).
thf(3520,plain,
! [SV530: $i] :
( ( ! [SY945: $i,SY946: $i,SY947: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY945 ) )
| ( ( a_select2 @ SY946 @ SX4 )
= SY947 ) )
| ~ ( leq @ n0 @ SV530 ) )
| ~ ( leq @ SV530 @ SY945 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY946 @ SY945 @ SY947 ) @ SV530 )
= SY947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3507]) ).
thf(3521,plain,
! [SV531: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV531 )
| ~ ( leq @ SV531 @ n4 ) )
| ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 )
| ( SV531 = n3 )
| ( SV531 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3508]) ).
thf(3522,plain,
! [SV532: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV532 )
| ~ ( leq @ SV532 @ n0 ) )
| ( SV532 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3509]) ).
thf(3523,plain,
! [SV533: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV533 )
| ~ ( leq @ SV533 @ n5 ) )
| ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 )
| ( SV533 = n4 )
| ( SV533 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3510]) ).
thf(3524,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3511]) ).
thf(3525,plain,
! [SV534: $i,SV523: $i] :
( ( ! [SY949: $i,SY950: $i] :
( ( a_select3 @ ( tptp_update3 @ SV523 @ SV534 @ SY949 @ SY950 ) @ SV534 @ SY949 )
= SY950 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3512]) ).
thf(3526,plain,
! [SV535: $i,SV524: $i] :
( ( ! [SY951: $i] :
( ( a_select2 @ ( tptp_update2 @ SV524 @ SV535 @ SY951 ) @ SV535 )
= SY951 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3513]) ).
thf(3527,plain,
! [SV536: $i,SV525: $i] :
( ( ! [SY952: $i,SY953: $i,SY954: $i] :
( ~ ~ ( ~ ( ( SV525 != SV536 ) )
| ( ( a_select2 @ SY952 @ SV536 )
!= SY953 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY952 @ SV525 @ SY954 ) @ SV536 )
= SY953 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3515]) ).
thf(3528,plain,
! [SV537: $i,SV526: $i] :
( ( ! [SY955: $i,SY956: $i,SY957: $i,SY958: $i,SY959: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV526 != SY955 ) )
| ( SV537 != SY956 ) )
| ( ( a_select3 @ SY957 @ SY955 @ SY956 )
!= SY958 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY957 @ SV526 @ SV537 @ SY959 ) @ SY955 @ SY956 )
= SY958 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3516]) ).
thf(3529,plain,
! [SV527: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV527 )
| ~ ( leq @ SV527 @ n2 ) ) )
= $true )
| ( ( ( SV527 = n0 )
| ( SV527 = n1 )
| ( SV527 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3517]) ).
thf(3530,plain,
! [SV528: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV528 )
| ~ ( leq @ SV528 @ n3 ) ) )
= $true )
| ( ( ( SV528 = n0 )
| ( SV528 = n1 )
| ( SV528 = n2 )
| ( SV528 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3518]) ).
thf(3531,plain,
! [SV529: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV529 )
| ~ ( leq @ SV529 @ n1 ) ) )
= $true )
| ( ( ( SV529 = n0 )
| ( SV529 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3519]) ).
thf(3532,plain,
! [SV530: $i,SV538: $i] :
( ( ! [SY960: $i,SY961: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY962: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY962 )
| ~ ( leq @ SY962 @ SV538 ) )
| ( ( a_select2 @ SY960 @ SY962 )
= SY961 ) )
| ~ ( leq @ n0 @ SV530 ) )
| ~ ( leq @ SV530 @ SV538 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY960 @ SV538 @ SY961 ) @ SV530 )
= SY961 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3520]) ).
thf(3533,plain,
! [SV531: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV531 )
| ~ ( leq @ SV531 @ n4 ) ) )
= $true )
| ( ( ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 )
| ( SV531 = n3 )
| ( SV531 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3521]) ).
thf(3534,plain,
! [SV532: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV532 )
| ~ ( leq @ SV532 @ n0 ) ) )
= $true )
| ( ( SV532 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3522]) ).
thf(3535,plain,
! [SV533: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV533 )
| ~ ( leq @ SV533 @ n5 ) ) )
= $true )
| ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 )
| ( SV533 = n4 )
| ( SV533 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3523]) ).
thf(3536,plain,
! [SV539: $i,SV534: $i,SV523: $i] :
( ( ! [SY963: $i] :
( ( a_select3 @ ( tptp_update3 @ SV523 @ SV534 @ SV539 @ SY963 ) @ SV534 @ SV539 )
= SY963 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3525]) ).
thf(3537,plain,
! [SV540: $i,SV535: $i,SV524: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV524 @ SV535 @ SV540 ) @ SV535 )
= SV540 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3526]) ).
thf(3538,plain,
! [SV541: $i,SV536: $i,SV525: $i] :
( ( ! [SY964: $i,SY965: $i] :
( ~ ~ ( ~ ( ( SV525 != SV536 ) )
| ( ( a_select2 @ SV541 @ SV536 )
!= SY964 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SY965 ) @ SV536 )
= SY964 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3527]) ).
thf(3539,plain,
! [SV537: $i,SV542: $i,SV526: $i] :
( ( ! [SY966: $i,SY967: $i,SY968: $i,SY969: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SY966 ) )
| ( ( a_select3 @ SY967 @ SV542 @ SY966 )
!= SY968 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY967 @ SV526 @ SV537 @ SY969 ) @ SV542 @ SY966 )
= SY968 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3528]) ).
thf(3540,plain,
! [SV527: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV527 )
| ~ ( leq @ SV527 @ n2 ) ) )
= $false )
| ( ( ( SV527 = n0 )
| ( SV527 = n1 )
| ( SV527 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3529]) ).
thf(3541,plain,
! [SV528: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV528 )
| ~ ( leq @ SV528 @ n3 ) ) )
= $false )
| ( ( ( SV528 = n0 )
| ( SV528 = n1 )
| ( SV528 = n2 )
| ( SV528 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3530]) ).
thf(3542,plain,
! [SV529: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV529 )
| ~ ( leq @ SV529 @ n1 ) ) )
= $false )
| ( ( ( SV529 = n0 )
| ( SV529 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3543,plain,
! [SV530: $i,SV543: $i,SV538: $i] :
( ( ! [SY970: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY971: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY971 )
| ~ ( leq @ SY971 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY971 )
= SY970 ) )
| ~ ( leq @ n0 @ SV530 ) )
| ~ ( leq @ SV530 @ SV538 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SY970 ) @ SV530 )
= SY970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3532]) ).
thf(3544,plain,
! [SV531: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV531 )
| ~ ( leq @ SV531 @ n4 ) ) )
= $false )
| ( ( ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 )
| ( SV531 = n3 )
| ( SV531 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3533]) ).
thf(3545,plain,
! [SV532: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV532 )
| ~ ( leq @ SV532 @ n0 ) ) )
= $false )
| ( ( SV532 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3534]) ).
thf(3546,plain,
! [SV533: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV533 )
| ~ ( leq @ SV533 @ n5 ) ) )
= $false )
| ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 )
| ( SV533 = n4 )
| ( SV533 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3535]) ).
thf(3547,plain,
! [SV544: $i,SV539: $i,SV534: $i,SV523: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV523 @ SV534 @ SV539 @ SV544 ) @ SV534 @ SV539 )
= SV544 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3536]) ).
thf(3548,plain,
! [SV545: $i,SV541: $i,SV536: $i,SV525: $i] :
( ( ! [SY972: $i] :
( ~ ~ ( ~ ( ( SV525 != SV536 ) )
| ( ( a_select2 @ SV541 @ SV536 )
!= SV545 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SY972 ) @ SV536 )
= SV545 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3538]) ).
thf(3549,plain,
! [SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ! [SY973: $i,SY974: $i,SY975: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) )
| ( ( a_select3 @ SY973 @ SV542 @ SV546 )
!= SY974 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY973 @ SV526 @ SV537 @ SY975 ) @ SV542 @ SV546 )
= SY974 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3539]) ).
thf(3550,plain,
! [SV527: $i] :
( ( ( ~ ( leq @ n0 @ SV527 )
| ~ ( leq @ SV527 @ n2 ) )
= $true )
| ( ( ( SV527 = n0 )
| ( SV527 = n1 )
| ( SV527 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3540]) ).
thf(3551,plain,
! [SV528: $i] :
( ( ( ~ ( leq @ n0 @ SV528 )
| ~ ( leq @ SV528 @ n3 ) )
= $true )
| ( ( ( SV528 = n0 )
| ( SV528 = n1 )
| ( SV528 = n2 )
| ( SV528 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3541]) ).
thf(3552,plain,
! [SV529: $i] :
( ( ( ~ ( leq @ n0 @ SV529 )
| ~ ( leq @ SV529 @ n1 ) )
= $true )
| ( ( ( SV529 = n0 )
| ( SV529 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3542]) ).
thf(3553,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) )
| ~ ( leq @ n0 @ SV530 ) )
| ~ ( leq @ SV530 @ SV538 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3543]) ).
thf(3554,plain,
! [SV531: $i] :
( ( ( ~ ( leq @ n0 @ SV531 )
| ~ ( leq @ SV531 @ n4 ) )
= $true )
| ( ( ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 )
| ( SV531 = n3 )
| ( SV531 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3544]) ).
thf(3555,plain,
! [SV532: $i] :
( ( ( ~ ( leq @ n0 @ SV532 )
| ~ ( leq @ SV532 @ n0 ) )
= $true )
| ( ( SV532 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3545]) ).
thf(3556,plain,
! [SV533: $i] :
( ( ( ~ ( leq @ n0 @ SV533 )
| ~ ( leq @ SV533 @ n5 ) )
= $true )
| ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 )
| ( SV533 = n4 )
| ( SV533 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3546]) ).
thf(3557,plain,
! [SV548: $i,SV545: $i,SV541: $i,SV536: $i,SV525: $i] :
( ( ~ ~ ( ~ ( ( SV525 != SV536 ) )
| ( ( a_select2 @ SV541 @ SV536 )
!= SV545 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SV548 ) @ SV536 )
= SV545 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3548]) ).
thf(3558,plain,
! [SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ! [SY977: $i,SY978: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) )
| ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SY977 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SY978 ) @ SV542 @ SV546 )
= SY977 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3549]) ).
thf(3559,plain,
! [SV527: $i] :
( ( ( ~ ( leq @ n0 @ SV527 ) )
= $true )
| ( ( ~ ( leq @ SV527 @ n2 ) )
= $true )
| ( ( ( SV527 = n0 )
| ( SV527 = n1 )
| ( SV527 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3550]) ).
thf(3560,plain,
! [SV528: $i] :
( ( ( ~ ( leq @ n0 @ SV528 ) )
= $true )
| ( ( ~ ( leq @ SV528 @ n3 ) )
= $true )
| ( ( ( SV528 = n0 )
| ( SV528 = n1 )
| ( SV528 = n2 )
| ( SV528 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3551]) ).
thf(3561,plain,
! [SV529: $i] :
( ( ( ~ ( leq @ n0 @ SV529 ) )
= $true )
| ( ( ~ ( leq @ SV529 @ n1 ) )
= $true )
| ( ( ( SV529 = n0 )
| ( SV529 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3552]) ).
thf(3562,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) )
| ~ ( leq @ n0 @ SV530 ) )
| ~ ( leq @ SV530 @ SV538 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3553]) ).
thf(3563,plain,
! [SV531: $i] :
( ( ( ~ ( leq @ n0 @ SV531 ) )
= $true )
| ( ( ~ ( leq @ SV531 @ n4 ) )
= $true )
| ( ( ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 )
| ( SV531 = n3 )
| ( SV531 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3554]) ).
thf(3564,plain,
! [SV532: $i] :
( ( ( ~ ( leq @ n0 @ SV532 ) )
= $true )
| ( ( ~ ( leq @ SV532 @ n0 ) )
= $true )
| ( ( SV532 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3555]) ).
thf(3565,plain,
! [SV533: $i] :
( ( ( ~ ( leq @ n0 @ SV533 ) )
= $true )
| ( ( ~ ( leq @ SV533 @ n5 ) )
= $true )
| ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 )
| ( SV533 = n4 )
| ( SV533 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3556]) ).
thf(3566,plain,
! [SV548: $i,SV545: $i,SV541: $i,SV536: $i,SV525: $i] :
( ( ( ~ ~ ( ~ ( ( SV525 != SV536 ) )
| ( ( a_select2 @ SV541 @ SV536 )
!= SV545 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SV548 ) @ SV536 )
= SV545 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3557]) ).
thf(3567,plain,
! [SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ! [SY979: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) )
| ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SY979 ) @ SV542 @ SV546 )
= SV550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3558]) ).
thf(3568,plain,
! [SV527: $i] :
( ( ( leq @ n0 @ SV527 )
= $false )
| ( ( ~ ( leq @ SV527 @ n2 ) )
= $true )
| ( ( ( SV527 = n0 )
| ( SV527 = n1 )
| ( SV527 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3559]) ).
thf(3569,plain,
! [SV528: $i] :
( ( ( leq @ n0 @ SV528 )
= $false )
| ( ( ~ ( leq @ SV528 @ n3 ) )
= $true )
| ( ( ( SV528 = n0 )
| ( SV528 = n1 )
| ( SV528 = n2 )
| ( SV528 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3560]) ).
thf(3570,plain,
! [SV529: $i] :
( ( ( leq @ n0 @ SV529 )
= $false )
| ( ( ~ ( leq @ SV529 @ n1 ) )
= $true )
| ( ( ( SV529 = n0 )
| ( SV529 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3561]) ).
thf(3571,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) )
| ~ ( leq @ n0 @ SV530 ) )
| ~ ( leq @ SV530 @ SV538 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3562]) ).
thf(3572,plain,
! [SV531: $i] :
( ( ( leq @ n0 @ SV531 )
= $false )
| ( ( ~ ( leq @ SV531 @ n4 ) )
= $true )
| ( ( ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 )
| ( SV531 = n3 )
| ( SV531 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3563]) ).
thf(3573,plain,
! [SV532: $i] :
( ( ( leq @ n0 @ SV532 )
= $false )
| ( ( ~ ( leq @ SV532 @ n0 ) )
= $true )
| ( ( SV532 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3564]) ).
thf(3574,plain,
! [SV533: $i] :
( ( ( leq @ n0 @ SV533 )
= $false )
| ( ( ~ ( leq @ SV533 @ n5 ) )
= $true )
| ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 )
| ( SV533 = n4 )
| ( SV533 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3565]) ).
thf(3575,plain,
! [SV548: $i,SV545: $i,SV541: $i,SV536: $i,SV525: $i] :
( ( ( ~ ( ~ ( ( SV525 != SV536 ) )
| ( ( a_select2 @ SV541 @ SV536 )
!= SV545 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SV548 ) @ SV536 )
= SV545 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3576,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) )
| ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3567]) ).
thf(3577,plain,
! [SV527: $i] :
( ( ( leq @ SV527 @ n2 )
= $false )
| ( ( leq @ n0 @ SV527 )
= $false )
| ( ( ( SV527 = n0 )
| ( SV527 = n1 )
| ( SV527 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3568]) ).
thf(3578,plain,
! [SV528: $i] :
( ( ( leq @ SV528 @ n3 )
= $false )
| ( ( leq @ n0 @ SV528 )
= $false )
| ( ( ( SV528 = n0 )
| ( SV528 = n1 )
| ( SV528 = n2 )
| ( SV528 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3569]) ).
thf(3579,plain,
! [SV529: $i] :
( ( ( leq @ SV529 @ n1 )
= $false )
| ( ( leq @ n0 @ SV529 )
= $false )
| ( ( ( SV529 = n0 )
| ( SV529 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3570]) ).
thf(3580,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ( ~ ~ ( ~ ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) )
| ~ ( leq @ n0 @ SV530 ) )
| ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3571]) ).
thf(3581,plain,
! [SV531: $i] :
( ( ( leq @ SV531 @ n4 )
= $false )
| ( ( leq @ n0 @ SV531 )
= $false )
| ( ( ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 )
| ( SV531 = n3 )
| ( SV531 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3572]) ).
thf(3582,plain,
! [SV532: $i] :
( ( ( leq @ SV532 @ n0 )
= $false )
| ( ( leq @ n0 @ SV532 )
= $false )
| ( ( SV532 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3573]) ).
thf(3583,plain,
! [SV533: $i] :
( ( ( leq @ SV533 @ n5 )
= $false )
| ( ( leq @ n0 @ SV533 )
= $false )
| ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 )
| ( SV533 = n4 )
| ( SV533 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3574]) ).
thf(3584,plain,
! [SV548: $i,SV545: $i,SV541: $i,SV536: $i,SV525: $i] :
( ( ( ~ ( ( SV525 != SV536 ) )
| ( ( a_select2 @ SV541 @ SV536 )
!= SV545 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SV548 ) @ SV536 )
= SV545 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3575]) ).
thf(3585,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) )
| ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3576]) ).
thf(3586,plain,
! [SV527: $i] :
( ( ( ( SV527 = n0 )
| ( SV527 = n1 ) )
= $true )
| ( ( SV527 = n2 )
= $true )
| ( ( leq @ n0 @ SV527 )
= $false )
| ( ( leq @ SV527 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3577]) ).
thf(3587,plain,
! [SV528: $i] :
( ( ( ( SV528 = n0 )
| ( SV528 = n1 )
| ( SV528 = n2 ) )
= $true )
| ( ( SV528 = n3 )
= $true )
| ( ( leq @ n0 @ SV528 )
= $false )
| ( ( leq @ SV528 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3578]) ).
thf(3588,plain,
! [SV529: $i] :
( ( ( SV529 = n0 )
= $true )
| ( ( SV529 = n1 )
= $true )
| ( ( leq @ n0 @ SV529 )
= $false )
| ( ( leq @ SV529 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3579]) ).
thf(3589,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ( ~ ~ ( ~ ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) )
| ~ ( leq @ n0 @ SV530 ) ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3580]) ).
thf(3590,plain,
! [SV531: $i] :
( ( ( ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 )
| ( SV531 = n3 ) )
= $true )
| ( ( SV531 = n4 )
= $true )
| ( ( leq @ n0 @ SV531 )
= $false )
| ( ( leq @ SV531 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3581]) ).
thf(3591,plain,
! [SV533: $i] :
( ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 )
| ( SV533 = n4 ) )
= $true )
| ( ( SV533 = n5 )
= $true )
| ( ( leq @ n0 @ SV533 )
= $false )
| ( ( leq @ SV533 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3583]) ).
thf(3592,plain,
! [SV548: $i,SV545: $i,SV541: $i,SV536: $i,SV525: $i] :
( ( ( ~ ( ( SV525 != SV536 ) ) )
= $true )
| ( ( ( a_select2 @ SV541 @ SV536 )
!= SV545 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SV548 ) @ SV536 )
= SV545 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3584]) ).
thf(3593,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) )
| ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3585]) ).
thf(3594,plain,
! [SV527: $i] :
( ( ( SV527 = n0 )
= $true )
| ( ( SV527 = n1 )
= $true )
| ( ( SV527 = n2 )
= $true )
| ( ( leq @ n0 @ SV527 )
= $false )
| ( ( leq @ SV527 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3586]) ).
thf(3595,plain,
! [SV528: $i] :
( ( ( ( SV528 = n0 )
| ( SV528 = n1 ) )
= $true )
| ( ( SV528 = n2 )
= $true )
| ( ( SV528 = n3 )
= $true )
| ( ( leq @ n0 @ SV528 )
= $false )
| ( ( leq @ SV528 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3587]) ).
thf(3596,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ( ~ ( ~ ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) )
| ~ ( leq @ n0 @ SV530 ) ) )
= $false )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3589]) ).
thf(3597,plain,
! [SV531: $i] :
( ( ( ( SV531 = n0 )
| ( SV531 = n1 )
| ( SV531 = n2 ) )
= $true )
| ( ( SV531 = n3 )
= $true )
| ( ( SV531 = n4 )
= $true )
| ( ( leq @ n0 @ SV531 )
= $false )
| ( ( leq @ SV531 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3590]) ).
thf(3598,plain,
! [SV533: $i] :
( ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 )
| ( SV533 = n3 ) )
= $true )
| ( ( SV533 = n4 )
= $true )
| ( ( SV533 = n5 )
= $true )
| ( ( leq @ n0 @ SV533 )
= $false )
| ( ( leq @ SV533 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3591]) ).
thf(3599,plain,
! [SV548: $i,SV545: $i,SV541: $i,SV536: $i,SV525: $i] :
( ( ( SV525 != SV536 )
= $false )
| ( ( ( a_select2 @ SV541 @ SV536 )
!= SV545 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SV548 ) @ SV536 )
= SV545 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3592]) ).
thf(3600,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) )
| ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3593]) ).
thf(3601,plain,
! [SV528: $i] :
( ( ( SV528 = n0 )
= $true )
| ( ( SV528 = n1 )
= $true )
| ( ( SV528 = n2 )
= $true )
| ( ( SV528 = n3 )
= $true )
| ( ( leq @ n0 @ SV528 )
= $false )
| ( ( leq @ SV528 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3595]) ).
thf(3602,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ( ~ ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) )
| ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3596]) ).
thf(3603,plain,
! [SV531: $i] :
( ( ( ( SV531 = n0 )
| ( SV531 = n1 ) )
= $true )
| ( ( SV531 = n2 )
= $true )
| ( ( SV531 = n3 )
= $true )
| ( ( SV531 = n4 )
= $true )
| ( ( leq @ n0 @ SV531 )
= $false )
| ( ( leq @ SV531 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3597]) ).
thf(3604,plain,
! [SV533: $i] :
( ( ( ( SV533 = n0 )
| ( SV533 = n1 )
| ( SV533 = n2 ) )
= $true )
| ( ( SV533 = n3 )
= $true )
| ( ( SV533 = n4 )
= $true )
| ( ( SV533 = n5 )
= $true )
| ( ( leq @ n0 @ SV533 )
= $false )
| ( ( leq @ SV533 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3598]) ).
thf(3605,plain,
! [SV548: $i,SV545: $i,SV541: $i,SV536: $i,SV525: $i] :
( ( ( SV525 = SV536 )
= $true )
| ( ( ( a_select2 @ SV541 @ SV536 )
!= SV545 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SV548 ) @ SV536 )
= SV545 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3599]) ).
thf(3606,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( ~ ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) ) )
= $true )
| ( ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3600]) ).
thf(3607,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ( ~ ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3602]) ).
thf(3608,plain,
! [SV531: $i] :
( ( ( SV531 = n0 )
= $true )
| ( ( SV531 = n1 )
= $true )
| ( ( SV531 = n2 )
= $true )
| ( ( SV531 = n3 )
= $true )
| ( ( SV531 = n4 )
= $true )
| ( ( leq @ n0 @ SV531 )
= $false )
| ( ( leq @ SV531 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3603]) ).
thf(3609,plain,
! [SV533: $i] :
( ( ( ( SV533 = n0 )
| ( SV533 = n1 ) )
= $true )
| ( ( SV533 = n2 )
= $true )
| ( ( SV533 = n3 )
= $true )
| ( ( SV533 = n4 )
= $true )
| ( ( SV533 = n5 )
= $true )
| ( ( leq @ n0 @ SV533 )
= $false )
| ( ( leq @ SV533 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3604]) ).
thf(3610,plain,
! [SV548: $i,SV525: $i,SV545: $i,SV536: $i,SV541: $i] :
( ( ( ( a_select2 @ SV541 @ SV536 )
= SV545 )
= $false )
| ( ( SV525 = SV536 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV541 @ SV525 @ SV548 ) @ SV536 )
= SV545 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3605]) ).
thf(3611,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( ~ ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) ) )
= $false )
| ( ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3606]) ).
thf(3612,plain,
! [SV530: $i,SV547: $i,SV543: $i,SV538: $i] :
( ( ( ! [SY976: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY976 )
| ~ ( leq @ SY976 @ SV538 ) )
| ( ( a_select2 @ SV543 @ SY976 )
= SV547 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3607]) ).
thf(3613,plain,
! [SV533: $i] :
( ( ( SV533 = n0 )
= $true )
| ( ( SV533 = n1 )
= $true )
| ( ( SV533 = n2 )
= $true )
| ( ( SV533 = n3 )
= $true )
| ( ( SV533 = n4 )
= $true )
| ( ( SV533 = n5 )
= $true )
| ( ( leq @ n0 @ SV533 )
= $false )
| ( ( leq @ SV533 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3609]) ).
thf(3614,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( ~ ( ( SV526 != SV542 ) )
| ( SV537 != SV546 ) )
= $true )
| ( ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3611]) ).
thf(3615,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
| ~ ( leq @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) @ SV538 ) )
| ( ( a_select2 @ SV543 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
= SV547 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3612]) ).
thf(3616,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( ~ ( ( SV526 != SV542 ) ) )
= $true )
| ( ( SV537 != SV546 )
= $true )
| ( ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3614]) ).
thf(3617,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
| ~ ( leq @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) @ SV538 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3615]) ).
thf(3618,plain,
! [SV538: $i,SV547: $i,SV530: $i,SV543: $i] :
( ( ( ( a_select2 @ SV543 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
= SV547 )
= $false )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3615]) ).
thf(3619,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( SV526 != SV542 )
= $false )
| ( ( SV537 != SV546 )
= $true )
| ( ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3616]) ).
thf(3620,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
| ~ ( leq @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) @ SV538 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3617]) ).
thf(3621,plain,
! [SV538: $i,SV547: $i,SV543: $i,SV530: $i] :
( ( ( leq @ n0 @ SV530 )
= $false )
| ( ( ( a_select2 @ SV543 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
= SV547 )
= $false )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3618]) ).
thf(3622,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV546: $i,SV537: $i,SV542: $i,SV526: $i] :
( ( ( SV526 = SV542 )
= $true )
| ( ( SV537 != SV546 )
= $true )
| ( ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3619]) ).
thf(3623,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( ~ ( leq @ n0 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
| ~ ( leq @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) @ SV538 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3620]) ).
thf(3624,plain,
! [SV547: $i,SV543: $i,SV538: $i,SV530: $i] :
( ( ( leq @ SV530 @ SV538 )
= $false )
| ( ( ( a_select2 @ SV543 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
= SV547 )
= $false )
| ( ( leq @ n0 @ SV530 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3621]) ).
thf(3625,plain,
! [SV551: $i,SV550: $i,SV549: $i,SV542: $i,SV526: $i,SV546: $i,SV537: $i] :
( ( ( SV537 = SV546 )
= $false )
| ( ( SV526 = SV542 )
= $true )
| ( ( ( a_select3 @ SV549 @ SV542 @ SV546 )
!= SV550 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3622]) ).
thf(3626,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( ~ ( leq @ n0 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3623]) ).
thf(3627,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( ~ ( leq @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) @ SV538 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3623]) ).
thf(3628,plain,
! [SV551: $i,SV537: $i,SV526: $i,SV550: $i,SV546: $i,SV542: $i,SV549: $i] :
( ( ( ( a_select3 @ SV549 @ SV542 @ SV546 )
= SV550 )
= $false )
| ( ( SV526 = SV542 )
= $true )
| ( ( SV537 = SV546 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV549 @ SV526 @ SV537 @ SV551 ) @ SV542 @ SV546 )
= SV550 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3625]) ).
thf(3629,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( leq @ n0 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3626]) ).
thf(3630,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( leq @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) @ SV538 )
= $true )
| ( ( ~ ( leq @ n0 @ SV530 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3627]) ).
thf(3631,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( leq @ n0 @ SV530 )
= $false )
| ( ( leq @ n0 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3629]) ).
thf(3632,plain,
! [SV538: $i,SV543: $i,SV547: $i,SV530: $i] :
( ( ( leq @ n0 @ SV530 )
= $false )
| ( ( leq @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) @ SV538 )
= $true )
| ( ( ~ ( leq @ SV530 @ SV538 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3630]) ).
thf(3633,plain,
! [SV543: $i,SV547: $i,SV538: $i,SV530: $i] :
( ( ( leq @ SV530 @ SV538 )
= $false )
| ( ( leq @ n0 @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) )
= $true )
| ( ( leq @ n0 @ SV530 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3631]) ).
thf(3634,plain,
! [SV543: $i,SV547: $i,SV538: $i,SV530: $i] :
( ( ( leq @ SV530 @ SV538 )
= $false )
| ( ( leq @ ( sK19_SY976 @ SV530 @ SV547 @ SV543 @ SV538 ) @ SV538 )
= $true )
| ( ( leq @ n0 @ SV530 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV543 @ SV538 @ SV547 ) @ SV530 )
= SV547 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3632]) ).
thf(3635,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[3460,3634,3633,3628,3624,3613,3610,3608,3601,3594,3588,3582,3547,3537,3524,3514,3500,3499,3498,3497,3496,3495,3494,3493,3492,3491,3490,3489,3488,3487,3486,3485,3484,3483,3482,3481,3474,3473,3472,3471,3470,3469,3468,3467,3466,3465,3464,3463,3462,3461]) ).
thf(3636,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(3637,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(3638,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(3639,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(3640,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(3641,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(3642,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(3643,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(3644,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(3645,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(3646,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(3647,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(3648,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(3649,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(3650,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(3651,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(3652,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(3653,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(3654,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(3655,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(3656,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(3657,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(3658,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(3659,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(3660,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(3661,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(3662,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(3663,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(3664,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(3665,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(3666,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(3667,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(3668,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(3669,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(3670,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(3671,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(3672,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(3673,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(3674,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(3675,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(3676,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(3677,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(3678,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(3679,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(3680,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(3681,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(3682,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(3683,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(3684,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3640]) ).
thf(3685,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[3641]) ).
thf(3686,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3639]) ).
thf(3687,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3660]) ).
thf(3688,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3661]) ).
thf(3689,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3658]) ).
thf(3690,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3657]) ).
thf(3691,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3662]) ).
thf(3692,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3659]) ).
thf(3693,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3637]) ).
thf(3694,plain,
! [SV552: $i] :
( ( ! [SY980: $i,SY981: $i,SY982: $i] :
( ( a_select3 @ ( tptp_update3 @ SV552 @ SY980 @ SY981 @ SY982 ) @ SY980 @ SY981 )
= SY982 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3636]) ).
thf(3695,plain,
! [SV553: $i] :
( ( ! [SY983: $i,SY984: $i] :
( ( a_select2 @ ( tptp_update2 @ SV553 @ SY983 @ SY984 ) @ SY983 )
= SY984 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3638]) ).
thf(3696,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3683]) ).
thf(3697,plain,
! [SV554: $i] :
( ( ! [SY985: $i,SY986: $i,SY987: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY985 ) )
| ( ( a_select2 @ SY986 @ SX4 )
= SY987 ) )
| ~ ( leq @ n0 @ SV554 ) )
| ~ ( leq @ SV554 @ SY985 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY986 @ SY985 @ SY987 ) @ SV554 )
= SY987 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3684]) ).
thf(3698,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3685]) ).
thf(3699,plain,
! [SV555: $i] :
( ( ! [SY989: $i,SY990: $i,SY991: $i,SY992: $i] :
( ~ ~ ( ~ ( ( SV555 != SY989 ) )
| ( ( a_select2 @ SY990 @ SY989 )
!= SY991 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY990 @ SV555 @ SY992 ) @ SY989 )
= SY991 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3686]) ).
thf(3700,plain,
! [SV556: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV556 )
| ~ ( leq @ SV556 @ n1 ) )
| ( SV556 = n0 )
| ( SV556 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3687]) ).
thf(3701,plain,
! [SV557: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV557 )
| ~ ( leq @ SV557 @ n2 ) )
| ( SV557 = n0 )
| ( SV557 = n1 )
| ( SV557 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3688]) ).
thf(3702,plain,
! [SV558: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV558 )
| ~ ( leq @ SV558 @ n5 ) )
| ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 )
| ( SV558 = n4 )
| ( SV558 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3689]) ).
thf(3703,plain,
! [SV559: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV559 )
| ~ ( leq @ SV559 @ n4 ) )
| ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 )
| ( SV559 = n3 )
| ( SV559 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3690]) ).
thf(3704,plain,
! [SV560: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV560 )
| ~ ( leq @ SV560 @ n3 ) )
| ( SV560 = n0 )
| ( SV560 = n1 )
| ( SV560 = n2 )
| ( SV560 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3691]) ).
thf(3705,plain,
! [SV561: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV561 )
| ~ ( leq @ SV561 @ n0 ) )
| ( SV561 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3692]) ).
thf(3706,plain,
! [SV562: $i] :
( ( ! [SY993: $i,SY994: $i,SY995: $i,SY996: $i,SY997: $i,SY998: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV562 != SY994 ) )
| ( SY993 != SY995 ) )
| ( ( a_select3 @ SY996 @ SY994 @ SY995 )
!= SY997 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY996 @ SV562 @ SY993 @ SY998 ) @ SY994 @ SY995 )
= SY997 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3693]) ).
thf(3707,plain,
! [SV563: $i,SV552: $i] :
( ( ! [SY999: $i,SY1000: $i] :
( ( a_select3 @ ( tptp_update3 @ SV552 @ SV563 @ SY999 @ SY1000 ) @ SV563 @ SY999 )
= SY1000 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3694]) ).
thf(3708,plain,
! [SV564: $i,SV553: $i] :
( ( ! [SY1001: $i] :
( ( a_select2 @ ( tptp_update2 @ SV553 @ SV564 @ SY1001 ) @ SV564 )
= SY1001 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3695]) ).
thf(3709,plain,
! [SV554: $i,SV565: $i] :
( ( ! [SY1002: $i,SY1003: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY1004: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1004 )
| ~ ( leq @ SY1004 @ SV565 ) )
| ( ( a_select2 @ SY1002 @ SY1004 )
= SY1003 ) )
| ~ ( leq @ n0 @ SV554 ) )
| ~ ( leq @ SV554 @ SV565 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY1002 @ SV565 @ SY1003 ) @ SV554 )
= SY1003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3697]) ).
thf(3710,plain,
! [SV566: $i,SV555: $i] :
( ( ! [SY1005: $i,SY1006: $i,SY1007: $i] :
( ~ ~ ( ~ ( ( SV555 != SV566 ) )
| ( ( a_select2 @ SY1005 @ SV566 )
!= SY1006 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY1005 @ SV555 @ SY1007 ) @ SV566 )
= SY1006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3699]) ).
thf(3711,plain,
! [SV556: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV556 )
| ~ ( leq @ SV556 @ n1 ) ) )
= $true )
| ( ( ( SV556 = n0 )
| ( SV556 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3700]) ).
thf(3712,plain,
! [SV557: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV557 )
| ~ ( leq @ SV557 @ n2 ) ) )
= $true )
| ( ( ( SV557 = n0 )
| ( SV557 = n1 )
| ( SV557 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3701]) ).
thf(3713,plain,
! [SV558: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV558 )
| ~ ( leq @ SV558 @ n5 ) ) )
= $true )
| ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 )
| ( SV558 = n4 )
| ( SV558 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3702]) ).
thf(3714,plain,
! [SV559: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV559 )
| ~ ( leq @ SV559 @ n4 ) ) )
= $true )
| ( ( ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 )
| ( SV559 = n3 )
| ( SV559 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3703]) ).
thf(3715,plain,
! [SV560: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV560 )
| ~ ( leq @ SV560 @ n3 ) ) )
= $true )
| ( ( ( SV560 = n0 )
| ( SV560 = n1 )
| ( SV560 = n2 )
| ( SV560 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3704]) ).
thf(3716,plain,
! [SV561: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV561 )
| ~ ( leq @ SV561 @ n0 ) ) )
= $true )
| ( ( SV561 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3705]) ).
thf(3717,plain,
! [SV567: $i,SV562: $i] :
( ( ! [SY1008: $i,SY1009: $i,SY1010: $i,SY1011: $i,SY1012: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV562 != SY1008 ) )
| ( SV567 != SY1009 ) )
| ( ( a_select3 @ SY1010 @ SY1008 @ SY1009 )
!= SY1011 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY1010 @ SV562 @ SV567 @ SY1012 ) @ SY1008 @ SY1009 )
= SY1011 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3706]) ).
thf(3718,plain,
! [SV568: $i,SV563: $i,SV552: $i] :
( ( ! [SY1013: $i] :
( ( a_select3 @ ( tptp_update3 @ SV552 @ SV563 @ SV568 @ SY1013 ) @ SV563 @ SV568 )
= SY1013 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3707]) ).
thf(3719,plain,
! [SV569: $i,SV564: $i,SV553: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV553 @ SV564 @ SV569 ) @ SV564 )
= SV569 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3708]) ).
thf(3720,plain,
! [SV554: $i,SV570: $i,SV565: $i] :
( ( ! [SY1014: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY1015: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1015 )
| ~ ( leq @ SY1015 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1015 )
= SY1014 ) )
| ~ ( leq @ n0 @ SV554 ) )
| ~ ( leq @ SV554 @ SV565 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SY1014 ) @ SV554 )
= SY1014 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3709]) ).
thf(3721,plain,
! [SV571: $i,SV566: $i,SV555: $i] :
( ( ! [SY1016: $i,SY1017: $i] :
( ~ ~ ( ~ ( ( SV555 != SV566 ) )
| ( ( a_select2 @ SV571 @ SV566 )
!= SY1016 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SY1017 ) @ SV566 )
= SY1016 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3710]) ).
thf(3722,plain,
! [SV556: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV556 )
| ~ ( leq @ SV556 @ n1 ) ) )
= $false )
| ( ( ( SV556 = n0 )
| ( SV556 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3711]) ).
thf(3723,plain,
! [SV557: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV557 )
| ~ ( leq @ SV557 @ n2 ) ) )
= $false )
| ( ( ( SV557 = n0 )
| ( SV557 = n1 )
| ( SV557 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3712]) ).
thf(3724,plain,
! [SV558: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV558 )
| ~ ( leq @ SV558 @ n5 ) ) )
= $false )
| ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 )
| ( SV558 = n4 )
| ( SV558 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3713]) ).
thf(3725,plain,
! [SV559: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV559 )
| ~ ( leq @ SV559 @ n4 ) ) )
= $false )
| ( ( ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 )
| ( SV559 = n3 )
| ( SV559 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3714]) ).
thf(3726,plain,
! [SV560: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV560 )
| ~ ( leq @ SV560 @ n3 ) ) )
= $false )
| ( ( ( SV560 = n0 )
| ( SV560 = n1 )
| ( SV560 = n2 )
| ( SV560 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3715]) ).
thf(3727,plain,
! [SV561: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV561 )
| ~ ( leq @ SV561 @ n0 ) ) )
= $false )
| ( ( SV561 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3716]) ).
thf(3728,plain,
! [SV567: $i,SV572: $i,SV562: $i] :
( ( ! [SY1018: $i,SY1019: $i,SY1020: $i,SY1021: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SY1018 ) )
| ( ( a_select3 @ SY1019 @ SV572 @ SY1018 )
!= SY1020 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY1019 @ SV562 @ SV567 @ SY1021 ) @ SV572 @ SY1018 )
= SY1020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3717]) ).
thf(3729,plain,
! [SV573: $i,SV568: $i,SV563: $i,SV552: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV552 @ SV563 @ SV568 @ SV573 ) @ SV563 @ SV568 )
= SV573 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3718]) ).
thf(3730,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) )
| ~ ( leq @ n0 @ SV554 ) )
| ~ ( leq @ SV554 @ SV565 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3720]) ).
thf(3731,plain,
! [SV575: $i,SV571: $i,SV566: $i,SV555: $i] :
( ( ! [SY1023: $i] :
( ~ ~ ( ~ ( ( SV555 != SV566 ) )
| ( ( a_select2 @ SV571 @ SV566 )
!= SV575 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SY1023 ) @ SV566 )
= SV575 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3721]) ).
thf(3732,plain,
! [SV556: $i] :
( ( ( ~ ( leq @ n0 @ SV556 )
| ~ ( leq @ SV556 @ n1 ) )
= $true )
| ( ( ( SV556 = n0 )
| ( SV556 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3722]) ).
thf(3733,plain,
! [SV557: $i] :
( ( ( ~ ( leq @ n0 @ SV557 )
| ~ ( leq @ SV557 @ n2 ) )
= $true )
| ( ( ( SV557 = n0 )
| ( SV557 = n1 )
| ( SV557 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3723]) ).
thf(3734,plain,
! [SV558: $i] :
( ( ( ~ ( leq @ n0 @ SV558 )
| ~ ( leq @ SV558 @ n5 ) )
= $true )
| ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 )
| ( SV558 = n4 )
| ( SV558 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3724]) ).
thf(3735,plain,
! [SV559: $i] :
( ( ( ~ ( leq @ n0 @ SV559 )
| ~ ( leq @ SV559 @ n4 ) )
= $true )
| ( ( ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 )
| ( SV559 = n3 )
| ( SV559 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3725]) ).
thf(3736,plain,
! [SV560: $i] :
( ( ( ~ ( leq @ n0 @ SV560 )
| ~ ( leq @ SV560 @ n3 ) )
= $true )
| ( ( ( SV560 = n0 )
| ( SV560 = n1 )
| ( SV560 = n2 )
| ( SV560 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3726]) ).
thf(3737,plain,
! [SV561: $i] :
( ( ( ~ ( leq @ n0 @ SV561 )
| ~ ( leq @ SV561 @ n0 ) )
= $true )
| ( ( SV561 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3727]) ).
thf(3738,plain,
! [SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ! [SY1024: $i,SY1025: $i,SY1026: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) )
| ( ( a_select3 @ SY1024 @ SV572 @ SV576 )
!= SY1025 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY1024 @ SV562 @ SV567 @ SY1026 ) @ SV572 @ SV576 )
= SY1025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3728]) ).
thf(3739,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) )
| ~ ( leq @ n0 @ SV554 ) )
| ~ ( leq @ SV554 @ SV565 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3730]) ).
thf(3740,plain,
! [SV577: $i,SV575: $i,SV571: $i,SV566: $i,SV555: $i] :
( ( ~ ~ ( ~ ( ( SV555 != SV566 ) )
| ( ( a_select2 @ SV571 @ SV566 )
!= SV575 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SV577 ) @ SV566 )
= SV575 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3731]) ).
thf(3741,plain,
! [SV556: $i] :
( ( ( ~ ( leq @ n0 @ SV556 ) )
= $true )
| ( ( ~ ( leq @ SV556 @ n1 ) )
= $true )
| ( ( ( SV556 = n0 )
| ( SV556 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3732]) ).
thf(3742,plain,
! [SV557: $i] :
( ( ( ~ ( leq @ n0 @ SV557 ) )
= $true )
| ( ( ~ ( leq @ SV557 @ n2 ) )
= $true )
| ( ( ( SV557 = n0 )
| ( SV557 = n1 )
| ( SV557 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3733]) ).
thf(3743,plain,
! [SV558: $i] :
( ( ( ~ ( leq @ n0 @ SV558 ) )
= $true )
| ( ( ~ ( leq @ SV558 @ n5 ) )
= $true )
| ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 )
| ( SV558 = n4 )
| ( SV558 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3734]) ).
thf(3744,plain,
! [SV559: $i] :
( ( ( ~ ( leq @ n0 @ SV559 ) )
= $true )
| ( ( ~ ( leq @ SV559 @ n4 ) )
= $true )
| ( ( ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 )
| ( SV559 = n3 )
| ( SV559 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3735]) ).
thf(3745,plain,
! [SV560: $i] :
( ( ( ~ ( leq @ n0 @ SV560 ) )
= $true )
| ( ( ~ ( leq @ SV560 @ n3 ) )
= $true )
| ( ( ( SV560 = n0 )
| ( SV560 = n1 )
| ( SV560 = n2 )
| ( SV560 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3736]) ).
thf(3746,plain,
! [SV561: $i] :
( ( ( ~ ( leq @ n0 @ SV561 ) )
= $true )
| ( ( ~ ( leq @ SV561 @ n0 ) )
= $true )
| ( ( SV561 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3737]) ).
thf(3747,plain,
! [SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ! [SY1027: $i,SY1028: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) )
| ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SY1027 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SY1028 ) @ SV572 @ SV576 )
= SY1027 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3738]) ).
thf(3748,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) )
| ~ ( leq @ n0 @ SV554 ) )
| ~ ( leq @ SV554 @ SV565 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3739]) ).
thf(3749,plain,
! [SV577: $i,SV575: $i,SV571: $i,SV566: $i,SV555: $i] :
( ( ( ~ ~ ( ~ ( ( SV555 != SV566 ) )
| ( ( a_select2 @ SV571 @ SV566 )
!= SV575 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SV577 ) @ SV566 )
= SV575 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3740]) ).
thf(3750,plain,
! [SV556: $i] :
( ( ( leq @ n0 @ SV556 )
= $false )
| ( ( ~ ( leq @ SV556 @ n1 ) )
= $true )
| ( ( ( SV556 = n0 )
| ( SV556 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3741]) ).
thf(3751,plain,
! [SV557: $i] :
( ( ( leq @ n0 @ SV557 )
= $false )
| ( ( ~ ( leq @ SV557 @ n2 ) )
= $true )
| ( ( ( SV557 = n0 )
| ( SV557 = n1 )
| ( SV557 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3742]) ).
thf(3752,plain,
! [SV558: $i] :
( ( ( leq @ n0 @ SV558 )
= $false )
| ( ( ~ ( leq @ SV558 @ n5 ) )
= $true )
| ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 )
| ( SV558 = n4 )
| ( SV558 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3743]) ).
thf(3753,plain,
! [SV559: $i] :
( ( ( leq @ n0 @ SV559 )
= $false )
| ( ( ~ ( leq @ SV559 @ n4 ) )
= $true )
| ( ( ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 )
| ( SV559 = n3 )
| ( SV559 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3744]) ).
thf(3754,plain,
! [SV560: $i] :
( ( ( leq @ n0 @ SV560 )
= $false )
| ( ( ~ ( leq @ SV560 @ n3 ) )
= $true )
| ( ( ( SV560 = n0 )
| ( SV560 = n1 )
| ( SV560 = n2 )
| ( SV560 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3745]) ).
thf(3755,plain,
! [SV561: $i] :
( ( ( leq @ n0 @ SV561 )
= $false )
| ( ( ~ ( leq @ SV561 @ n0 ) )
= $true )
| ( ( SV561 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3746]) ).
thf(3756,plain,
! [SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ! [SY1029: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) )
| ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SY1029 ) @ SV572 @ SV576 )
= SV579 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3747]) ).
thf(3757,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ( ~ ~ ( ~ ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) )
| ~ ( leq @ n0 @ SV554 ) )
| ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3748]) ).
thf(3758,plain,
! [SV577: $i,SV575: $i,SV571: $i,SV566: $i,SV555: $i] :
( ( ( ~ ( ~ ( ( SV555 != SV566 ) )
| ( ( a_select2 @ SV571 @ SV566 )
!= SV575 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SV577 ) @ SV566 )
= SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3749]) ).
thf(3759,plain,
! [SV556: $i] :
( ( ( leq @ SV556 @ n1 )
= $false )
| ( ( leq @ n0 @ SV556 )
= $false )
| ( ( ( SV556 = n0 )
| ( SV556 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3750]) ).
thf(3760,plain,
! [SV557: $i] :
( ( ( leq @ SV557 @ n2 )
= $false )
| ( ( leq @ n0 @ SV557 )
= $false )
| ( ( ( SV557 = n0 )
| ( SV557 = n1 )
| ( SV557 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3751]) ).
thf(3761,plain,
! [SV558: $i] :
( ( ( leq @ SV558 @ n5 )
= $false )
| ( ( leq @ n0 @ SV558 )
= $false )
| ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 )
| ( SV558 = n4 )
| ( SV558 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3752]) ).
thf(3762,plain,
! [SV559: $i] :
( ( ( leq @ SV559 @ n4 )
= $false )
| ( ( leq @ n0 @ SV559 )
= $false )
| ( ( ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 )
| ( SV559 = n3 )
| ( SV559 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3753]) ).
thf(3763,plain,
! [SV560: $i] :
( ( ( leq @ SV560 @ n3 )
= $false )
| ( ( leq @ n0 @ SV560 )
= $false )
| ( ( ( SV560 = n0 )
| ( SV560 = n1 )
| ( SV560 = n2 )
| ( SV560 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3754]) ).
thf(3764,plain,
! [SV561: $i] :
( ( ( leq @ SV561 @ n0 )
= $false )
| ( ( leq @ n0 @ SV561 )
= $false )
| ( ( SV561 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3755]) ).
thf(3765,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) )
| ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3756]) ).
thf(3766,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ( ~ ~ ( ~ ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) )
| ~ ( leq @ n0 @ SV554 ) ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3757]) ).
thf(3767,plain,
! [SV577: $i,SV575: $i,SV571: $i,SV566: $i,SV555: $i] :
( ( ( ~ ( ( SV555 != SV566 ) )
| ( ( a_select2 @ SV571 @ SV566 )
!= SV575 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SV577 ) @ SV566 )
= SV575 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3758]) ).
thf(3768,plain,
! [SV556: $i] :
( ( ( SV556 = n0 )
= $true )
| ( ( SV556 = n1 )
= $true )
| ( ( leq @ n0 @ SV556 )
= $false )
| ( ( leq @ SV556 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3759]) ).
thf(3769,plain,
! [SV557: $i] :
( ( ( ( SV557 = n0 )
| ( SV557 = n1 ) )
= $true )
| ( ( SV557 = n2 )
= $true )
| ( ( leq @ n0 @ SV557 )
= $false )
| ( ( leq @ SV557 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3760]) ).
thf(3770,plain,
! [SV558: $i] :
( ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 )
| ( SV558 = n4 ) )
= $true )
| ( ( SV558 = n5 )
= $true )
| ( ( leq @ n0 @ SV558 )
= $false )
| ( ( leq @ SV558 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3761]) ).
thf(3771,plain,
! [SV559: $i] :
( ( ( ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 )
| ( SV559 = n3 ) )
= $true )
| ( ( SV559 = n4 )
= $true )
| ( ( leq @ n0 @ SV559 )
= $false )
| ( ( leq @ SV559 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3762]) ).
thf(3772,plain,
! [SV560: $i] :
( ( ( ( SV560 = n0 )
| ( SV560 = n1 )
| ( SV560 = n2 ) )
= $true )
| ( ( SV560 = n3 )
= $true )
| ( ( leq @ n0 @ SV560 )
= $false )
| ( ( leq @ SV560 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3763]) ).
thf(3773,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) )
| ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3765]) ).
thf(3774,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ( ~ ( ~ ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) )
| ~ ( leq @ n0 @ SV554 ) ) )
= $false )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3766]) ).
thf(3775,plain,
! [SV577: $i,SV575: $i,SV571: $i,SV566: $i,SV555: $i] :
( ( ( ~ ( ( SV555 != SV566 ) ) )
= $true )
| ( ( ( a_select2 @ SV571 @ SV566 )
!= SV575 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SV577 ) @ SV566 )
= SV575 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3767]) ).
thf(3776,plain,
! [SV557: $i] :
( ( ( SV557 = n0 )
= $true )
| ( ( SV557 = n1 )
= $true )
| ( ( SV557 = n2 )
= $true )
| ( ( leq @ n0 @ SV557 )
= $false )
| ( ( leq @ SV557 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3769]) ).
thf(3777,plain,
! [SV558: $i] :
( ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 )
| ( SV558 = n3 ) )
= $true )
| ( ( SV558 = n4 )
= $true )
| ( ( SV558 = n5 )
= $true )
| ( ( leq @ n0 @ SV558 )
= $false )
| ( ( leq @ SV558 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3770]) ).
thf(3778,plain,
! [SV559: $i] :
( ( ( ( SV559 = n0 )
| ( SV559 = n1 )
| ( SV559 = n2 ) )
= $true )
| ( ( SV559 = n3 )
= $true )
| ( ( SV559 = n4 )
= $true )
| ( ( leq @ n0 @ SV559 )
= $false )
| ( ( leq @ SV559 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3771]) ).
thf(3779,plain,
! [SV560: $i] :
( ( ( ( SV560 = n0 )
| ( SV560 = n1 ) )
= $true )
| ( ( SV560 = n2 )
= $true )
| ( ( SV560 = n3 )
= $true )
| ( ( leq @ n0 @ SV560 )
= $false )
| ( ( leq @ SV560 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3772]) ).
thf(3780,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) )
| ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3773]) ).
thf(3781,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ( ~ ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) )
| ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3774]) ).
thf(3782,plain,
! [SV577: $i,SV575: $i,SV571: $i,SV566: $i,SV555: $i] :
( ( ( SV555 != SV566 )
= $false )
| ( ( ( a_select2 @ SV571 @ SV566 )
!= SV575 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SV577 ) @ SV566 )
= SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3775]) ).
thf(3783,plain,
! [SV558: $i] :
( ( ( ( SV558 = n0 )
| ( SV558 = n1 )
| ( SV558 = n2 ) )
= $true )
| ( ( SV558 = n3 )
= $true )
| ( ( SV558 = n4 )
= $true )
| ( ( SV558 = n5 )
= $true )
| ( ( leq @ n0 @ SV558 )
= $false )
| ( ( leq @ SV558 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3777]) ).
thf(3784,plain,
! [SV559: $i] :
( ( ( ( SV559 = n0 )
| ( SV559 = n1 ) )
= $true )
| ( ( SV559 = n2 )
= $true )
| ( ( SV559 = n3 )
= $true )
| ( ( SV559 = n4 )
= $true )
| ( ( leq @ n0 @ SV559 )
= $false )
| ( ( leq @ SV559 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3778]) ).
thf(3785,plain,
! [SV560: $i] :
( ( ( SV560 = n0 )
= $true )
| ( ( SV560 = n1 )
= $true )
| ( ( SV560 = n2 )
= $true )
| ( ( SV560 = n3 )
= $true )
| ( ( leq @ n0 @ SV560 )
= $false )
| ( ( leq @ SV560 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3779]) ).
thf(3786,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) )
| ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3780]) ).
thf(3787,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ( ~ ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3781]) ).
thf(3788,plain,
! [SV577: $i,SV575: $i,SV571: $i,SV566: $i,SV555: $i] :
( ( ( SV555 = SV566 )
= $true )
| ( ( ( a_select2 @ SV571 @ SV566 )
!= SV575 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SV577 ) @ SV566 )
= SV575 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3782]) ).
thf(3789,plain,
! [SV558: $i] :
( ( ( ( SV558 = n0 )
| ( SV558 = n1 ) )
= $true )
| ( ( SV558 = n2 )
= $true )
| ( ( SV558 = n3 )
= $true )
| ( ( SV558 = n4 )
= $true )
| ( ( SV558 = n5 )
= $true )
| ( ( leq @ n0 @ SV558 )
= $false )
| ( ( leq @ SV558 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3783]) ).
thf(3790,plain,
! [SV559: $i] :
( ( ( SV559 = n0 )
= $true )
| ( ( SV559 = n1 )
= $true )
| ( ( SV559 = n2 )
= $true )
| ( ( SV559 = n3 )
= $true )
| ( ( SV559 = n4 )
= $true )
| ( ( leq @ n0 @ SV559 )
= $false )
| ( ( leq @ SV559 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3784]) ).
thf(3791,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( ~ ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) ) )
= $true )
| ( ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3786]) ).
thf(3792,plain,
! [SV554: $i,SV574: $i,SV570: $i,SV565: $i] :
( ( ( ! [SY1022: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1022 )
| ~ ( leq @ SY1022 @ SV565 ) )
| ( ( a_select2 @ SV570 @ SY1022 )
= SV574 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3787]) ).
thf(3793,plain,
! [SV577: $i,SV555: $i,SV575: $i,SV566: $i,SV571: $i] :
( ( ( ( a_select2 @ SV571 @ SV566 )
= SV575 )
= $false )
| ( ( SV555 = SV566 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV571 @ SV555 @ SV577 ) @ SV566 )
= SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3788]) ).
thf(3794,plain,
! [SV558: $i] :
( ( ( SV558 = n0 )
= $true )
| ( ( SV558 = n1 )
= $true )
| ( ( SV558 = n2 )
= $true )
| ( ( SV558 = n3 )
= $true )
| ( ( SV558 = n4 )
= $true )
| ( ( SV558 = n5 )
= $true )
| ( ( leq @ n0 @ SV558 )
= $false )
| ( ( leq @ SV558 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3789]) ).
thf(3795,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( ~ ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) ) )
= $false )
| ( ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3791]) ).
thf(3796,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
| ~ ( leq @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) @ SV565 ) )
| ( ( a_select2 @ SV570 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
= SV574 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3792]) ).
thf(3797,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( ~ ( ( SV562 != SV572 ) )
| ( SV567 != SV576 ) )
= $true )
| ( ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3795]) ).
thf(3798,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
| ~ ( leq @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) @ SV565 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3796]) ).
thf(3799,plain,
! [SV565: $i,SV574: $i,SV554: $i,SV570: $i] :
( ( ( ( a_select2 @ SV570 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
= SV574 )
= $false )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3796]) ).
thf(3800,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( ~ ( ( SV562 != SV572 ) ) )
= $true )
| ( ( SV567 != SV576 )
= $true )
| ( ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3797]) ).
thf(3801,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
| ~ ( leq @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) @ SV565 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3798]) ).
thf(3802,plain,
! [SV565: $i,SV574: $i,SV570: $i,SV554: $i] :
( ( ( leq @ n0 @ SV554 )
= $false )
| ( ( ( a_select2 @ SV570 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
= SV574 )
= $false )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3799]) ).
thf(3803,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( SV562 != SV572 )
= $false )
| ( ( SV567 != SV576 )
= $true )
| ( ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3800]) ).
thf(3804,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( ~ ( leq @ n0 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
| ~ ( leq @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) @ SV565 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3801]) ).
thf(3805,plain,
! [SV574: $i,SV570: $i,SV565: $i,SV554: $i] :
( ( ( leq @ SV554 @ SV565 )
= $false )
| ( ( ( a_select2 @ SV570 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
= SV574 )
= $false )
| ( ( leq @ n0 @ SV554 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3802]) ).
thf(3806,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV576: $i,SV567: $i,SV572: $i,SV562: $i] :
( ( ( SV562 = SV572 )
= $true )
| ( ( SV567 != SV576 )
= $true )
| ( ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3803]) ).
thf(3807,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( ~ ( leq @ n0 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3804]) ).
thf(3808,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( ~ ( leq @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) @ SV565 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3804]) ).
thf(3809,plain,
! [SV580: $i,SV579: $i,SV578: $i,SV572: $i,SV562: $i,SV576: $i,SV567: $i] :
( ( ( SV567 = SV576 )
= $false )
| ( ( SV562 = SV572 )
= $true )
| ( ( ( a_select3 @ SV578 @ SV572 @ SV576 )
!= SV579 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3806]) ).
thf(3810,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( leq @ n0 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3807]) ).
thf(3811,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( leq @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) @ SV565 )
= $true )
| ( ( ~ ( leq @ n0 @ SV554 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3808]) ).
thf(3812,plain,
! [SV580: $i,SV567: $i,SV562: $i,SV579: $i,SV576: $i,SV572: $i,SV578: $i] :
( ( ( ( a_select3 @ SV578 @ SV572 @ SV576 )
= SV579 )
= $false )
| ( ( SV562 = SV572 )
= $true )
| ( ( SV567 = SV576 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV578 @ SV562 @ SV567 @ SV580 ) @ SV572 @ SV576 )
= SV579 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3809]) ).
thf(3813,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( leq @ n0 @ SV554 )
= $false )
| ( ( leq @ n0 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3810]) ).
thf(3814,plain,
! [SV565: $i,SV570: $i,SV574: $i,SV554: $i] :
( ( ( leq @ n0 @ SV554 )
= $false )
| ( ( leq @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) @ SV565 )
= $true )
| ( ( ~ ( leq @ SV554 @ SV565 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3811]) ).
thf(3815,plain,
! [SV570: $i,SV574: $i,SV565: $i,SV554: $i] :
( ( ( leq @ SV554 @ SV565 )
= $false )
| ( ( leq @ n0 @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) )
= $true )
| ( ( leq @ n0 @ SV554 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3813]) ).
thf(3816,plain,
! [SV570: $i,SV574: $i,SV565: $i,SV554: $i] :
( ( ( leq @ SV554 @ SV565 )
= $false )
| ( ( leq @ ( sK20_SY1022 @ SV554 @ SV574 @ SV570 @ SV565 ) @ SV565 )
= $true )
| ( ( leq @ n0 @ SV554 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV570 @ SV565 @ SV574 ) @ SV554 )
= SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3814]) ).
thf(3817,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[3642,3816,3815,3812,3805,3794,3793,3790,3785,3776,3768,3764,3729,3719,3698,3696,3682,3681,3680,3679,3678,3677,3676,3675,3674,3673,3672,3671,3670,3669,3668,3667,3666,3665,3664,3663,3656,3655,3654,3653,3652,3651,3650,3649,3648,3647,3646,3645,3644,3643]) ).
thf(3818,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(3819,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(3820,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(3821,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(3822,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(3823,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(3824,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(3825,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(3826,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(3827,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(3828,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(3829,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(3830,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(3831,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(3832,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(3833,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(3834,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(3835,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(3836,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(3837,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(3838,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(3839,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(3840,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(3841,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(3842,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(3843,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(3844,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(3845,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(3846,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(3847,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(3848,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(3849,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(3850,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(3851,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(3852,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(3853,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(3854,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(3855,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(3856,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(3857,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(3858,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(3859,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(3860,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(3861,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(3862,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(3863,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(3864,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(3865,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(3866,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SX1 ) )
| ( ( a_select2 @ SX2 @ SX4 )
= SX3 ) )
| ~ ( leq @ n0 @ SX0 ) )
| ~ ( leq @ SX0 @ SX1 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX1 @ SX3 ) @ SX0 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3822]) ).
thf(3867,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3843]) ).
thf(3868,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3841]) ).
thf(3869,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[3823]) ).
thf(3870,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ( SX1 != SX3 ) )
| ( ( a_select3 @ SX4 @ SX2 @ SX3 )
!= SX5 ) )
| ( ( a_select3 @ ( tptp_update3 @ SX4 @ SX0 @ SX1 @ SX6 ) @ SX2 @ SX3 )
= SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3819]) ).
thf(3871,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n4 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3839]) ).
thf(3872,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3842]) ).
thf(3873,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n5 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 )
| ( SX0 = n4 )
| ( SX0 = n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3840]) ).
thf(3874,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( a_select2 @ SX2 @ SX1 )
!= SX3 ) )
| ( ( a_select2 @ ( tptp_update2 @ SX2 @ SX0 @ SX4 ) @ SX1 )
= SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3821]) ).
thf(3875,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3844]) ).
thf(3876,plain,
! [SV581: $i] :
( ( ! [SY1030: $i,SY1031: $i,SY1032: $i] :
( ( a_select3 @ ( tptp_update3 @ SV581 @ SY1030 @ SY1031 @ SY1032 ) @ SY1030 @ SY1031 )
= SY1032 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3818]) ).
thf(3877,plain,
! [SV582: $i] :
( ( ! [SY1033: $i,SY1034: $i] :
( ( a_select2 @ ( tptp_update2 @ SV582 @ SY1033 @ SY1034 ) @ SY1033 )
= SY1034 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3820]) ).
thf(3878,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3865]) ).
thf(3879,plain,
! [SV583: $i] :
( ( ! [SY1035: $i,SY1036: $i,SY1037: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY1035 ) )
| ( ( a_select2 @ SY1036 @ SX4 )
= SY1037 ) )
| ~ ( leq @ n0 @ SV583 ) )
| ~ ( leq @ SV583 @ SY1035 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY1036 @ SY1035 @ SY1037 ) @ SV583 )
= SY1037 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3866]) ).
thf(3880,plain,
! [SV584: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV584 )
| ~ ( leq @ SV584 @ n2 ) )
| ( SV584 = n0 )
| ( SV584 = n1 )
| ( SV584 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3867]) ).
thf(3881,plain,
! [SV585: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV585 )
| ~ ( leq @ SV585 @ n0 ) )
| ( SV585 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3868]) ).
thf(3882,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3869]) ).
thf(3883,plain,
! [SV586: $i] :
( ( ! [SY1039: $i,SY1040: $i,SY1041: $i,SY1042: $i,SY1043: $i,SY1044: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV586 != SY1040 ) )
| ( SY1039 != SY1041 ) )
| ( ( a_select3 @ SY1042 @ SY1040 @ SY1041 )
!= SY1043 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY1042 @ SV586 @ SY1039 @ SY1044 ) @ SY1040 @ SY1041 )
= SY1043 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3870]) ).
thf(3884,plain,
! [SV587: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV587 )
| ~ ( leq @ SV587 @ n4 ) )
| ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 )
| ( SV587 = n3 )
| ( SV587 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3871]) ).
thf(3885,plain,
! [SV588: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV588 )
| ~ ( leq @ SV588 @ n1 ) )
| ( SV588 = n0 )
| ( SV588 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3872]) ).
thf(3886,plain,
! [SV589: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV589 )
| ~ ( leq @ SV589 @ n5 ) )
| ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 )
| ( SV589 = n4 )
| ( SV589 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3873]) ).
thf(3887,plain,
! [SV590: $i] :
( ( ! [SY1045: $i,SY1046: $i,SY1047: $i,SY1048: $i] :
( ~ ~ ( ~ ( ( SV590 != SY1045 ) )
| ( ( a_select2 @ SY1046 @ SY1045 )
!= SY1047 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY1046 @ SV590 @ SY1048 ) @ SY1045 )
= SY1047 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3874]) ).
thf(3888,plain,
! [SV591: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV591 )
| ~ ( leq @ SV591 @ n3 ) )
| ( SV591 = n0 )
| ( SV591 = n1 )
| ( SV591 = n2 )
| ( SV591 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3875]) ).
thf(3889,plain,
! [SV592: $i,SV581: $i] :
( ( ! [SY1049: $i,SY1050: $i] :
( ( a_select3 @ ( tptp_update3 @ SV581 @ SV592 @ SY1049 @ SY1050 ) @ SV592 @ SY1049 )
= SY1050 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3876]) ).
thf(3890,plain,
! [SV593: $i,SV582: $i] :
( ( ! [SY1051: $i] :
( ( a_select2 @ ( tptp_update2 @ SV582 @ SV593 @ SY1051 ) @ SV593 )
= SY1051 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3877]) ).
thf(3891,plain,
! [SV583: $i,SV594: $i] :
( ( ! [SY1052: $i,SY1053: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY1054: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1054 )
| ~ ( leq @ SY1054 @ SV594 ) )
| ( ( a_select2 @ SY1052 @ SY1054 )
= SY1053 ) )
| ~ ( leq @ n0 @ SV583 ) )
| ~ ( leq @ SV583 @ SV594 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY1052 @ SV594 @ SY1053 ) @ SV583 )
= SY1053 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3879]) ).
thf(3892,plain,
! [SV584: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV584 )
| ~ ( leq @ SV584 @ n2 ) ) )
= $true )
| ( ( ( SV584 = n0 )
| ( SV584 = n1 )
| ( SV584 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3880]) ).
thf(3893,plain,
! [SV585: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV585 )
| ~ ( leq @ SV585 @ n0 ) ) )
= $true )
| ( ( SV585 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3881]) ).
thf(3894,plain,
! [SV595: $i,SV586: $i] :
( ( ! [SY1055: $i,SY1056: $i,SY1057: $i,SY1058: $i,SY1059: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV586 != SY1055 ) )
| ( SV595 != SY1056 ) )
| ( ( a_select3 @ SY1057 @ SY1055 @ SY1056 )
!= SY1058 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY1057 @ SV586 @ SV595 @ SY1059 ) @ SY1055 @ SY1056 )
= SY1058 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3883]) ).
thf(3895,plain,
! [SV587: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV587 )
| ~ ( leq @ SV587 @ n4 ) ) )
= $true )
| ( ( ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 )
| ( SV587 = n3 )
| ( SV587 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3884]) ).
thf(3896,plain,
! [SV588: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV588 )
| ~ ( leq @ SV588 @ n1 ) ) )
= $true )
| ( ( ( SV588 = n0 )
| ( SV588 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3885]) ).
thf(3897,plain,
! [SV589: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV589 )
| ~ ( leq @ SV589 @ n5 ) ) )
= $true )
| ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 )
| ( SV589 = n4 )
| ( SV589 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3886]) ).
thf(3898,plain,
! [SV596: $i,SV590: $i] :
( ( ! [SY1060: $i,SY1061: $i,SY1062: $i] :
( ~ ~ ( ~ ( ( SV590 != SV596 ) )
| ( ( a_select2 @ SY1060 @ SV596 )
!= SY1061 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY1060 @ SV590 @ SY1062 ) @ SV596 )
= SY1061 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3887]) ).
thf(3899,plain,
! [SV591: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV591 )
| ~ ( leq @ SV591 @ n3 ) ) )
= $true )
| ( ( ( SV591 = n0 )
| ( SV591 = n1 )
| ( SV591 = n2 )
| ( SV591 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3888]) ).
thf(3900,plain,
! [SV597: $i,SV592: $i,SV581: $i] :
( ( ! [SY1063: $i] :
( ( a_select3 @ ( tptp_update3 @ SV581 @ SV592 @ SV597 @ SY1063 ) @ SV592 @ SV597 )
= SY1063 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3889]) ).
thf(3901,plain,
! [SV598: $i,SV593: $i,SV582: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV582 @ SV593 @ SV598 ) @ SV593 )
= SV598 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3890]) ).
thf(3902,plain,
! [SV583: $i,SV599: $i,SV594: $i] :
( ( ! [SY1064: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY1065: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1065 )
| ~ ( leq @ SY1065 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1065 )
= SY1064 ) )
| ~ ( leq @ n0 @ SV583 ) )
| ~ ( leq @ SV583 @ SV594 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SY1064 ) @ SV583 )
= SY1064 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3891]) ).
thf(3903,plain,
! [SV584: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV584 )
| ~ ( leq @ SV584 @ n2 ) ) )
= $false )
| ( ( ( SV584 = n0 )
| ( SV584 = n1 )
| ( SV584 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3892]) ).
thf(3904,plain,
! [SV585: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV585 )
| ~ ( leq @ SV585 @ n0 ) ) )
= $false )
| ( ( SV585 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3893]) ).
thf(3905,plain,
! [SV595: $i,SV600: $i,SV586: $i] :
( ( ! [SY1066: $i,SY1067: $i,SY1068: $i,SY1069: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SY1066 ) )
| ( ( a_select3 @ SY1067 @ SV600 @ SY1066 )
!= SY1068 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY1067 @ SV586 @ SV595 @ SY1069 ) @ SV600 @ SY1066 )
= SY1068 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3894]) ).
thf(3906,plain,
! [SV587: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV587 )
| ~ ( leq @ SV587 @ n4 ) ) )
= $false )
| ( ( ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 )
| ( SV587 = n3 )
| ( SV587 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3895]) ).
thf(3907,plain,
! [SV588: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV588 )
| ~ ( leq @ SV588 @ n1 ) ) )
= $false )
| ( ( ( SV588 = n0 )
| ( SV588 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3896]) ).
thf(3908,plain,
! [SV589: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV589 )
| ~ ( leq @ SV589 @ n5 ) ) )
= $false )
| ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 )
| ( SV589 = n4 )
| ( SV589 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3897]) ).
thf(3909,plain,
! [SV601: $i,SV596: $i,SV590: $i] :
( ( ! [SY1070: $i,SY1071: $i] :
( ~ ~ ( ~ ( ( SV590 != SV596 ) )
| ( ( a_select2 @ SV601 @ SV596 )
!= SY1070 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SY1071 ) @ SV596 )
= SY1070 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3898]) ).
thf(3910,plain,
! [SV591: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV591 )
| ~ ( leq @ SV591 @ n3 ) ) )
= $false )
| ( ( ( SV591 = n0 )
| ( SV591 = n1 )
| ( SV591 = n2 )
| ( SV591 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3899]) ).
thf(3911,plain,
! [SV602: $i,SV597: $i,SV592: $i,SV581: $i] :
( ( ( a_select3 @ ( tptp_update3 @ SV581 @ SV592 @ SV597 @ SV602 ) @ SV592 @ SV597 )
= SV602 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3900]) ).
thf(3912,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) )
| ~ ( leq @ n0 @ SV583 ) )
| ~ ( leq @ SV583 @ SV594 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3902]) ).
thf(3913,plain,
! [SV584: $i] :
( ( ( ~ ( leq @ n0 @ SV584 )
| ~ ( leq @ SV584 @ n2 ) )
= $true )
| ( ( ( SV584 = n0 )
| ( SV584 = n1 )
| ( SV584 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3903]) ).
thf(3914,plain,
! [SV585: $i] :
( ( ( ~ ( leq @ n0 @ SV585 )
| ~ ( leq @ SV585 @ n0 ) )
= $true )
| ( ( SV585 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3904]) ).
thf(3915,plain,
! [SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ! [SY1073: $i,SY1074: $i,SY1075: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) )
| ( ( a_select3 @ SY1073 @ SV600 @ SV604 )
!= SY1074 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY1073 @ SV586 @ SV595 @ SY1075 ) @ SV600 @ SV604 )
= SY1074 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3905]) ).
thf(3916,plain,
! [SV587: $i] :
( ( ( ~ ( leq @ n0 @ SV587 )
| ~ ( leq @ SV587 @ n4 ) )
= $true )
| ( ( ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 )
| ( SV587 = n3 )
| ( SV587 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3906]) ).
thf(3917,plain,
! [SV588: $i] :
( ( ( ~ ( leq @ n0 @ SV588 )
| ~ ( leq @ SV588 @ n1 ) )
= $true )
| ( ( ( SV588 = n0 )
| ( SV588 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3907]) ).
thf(3918,plain,
! [SV589: $i] :
( ( ( ~ ( leq @ n0 @ SV589 )
| ~ ( leq @ SV589 @ n5 ) )
= $true )
| ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 )
| ( SV589 = n4 )
| ( SV589 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3908]) ).
thf(3919,plain,
! [SV605: $i,SV601: $i,SV596: $i,SV590: $i] :
( ( ! [SY1076: $i] :
( ~ ~ ( ~ ( ( SV590 != SV596 ) )
| ( ( a_select2 @ SV601 @ SV596 )
!= SV605 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SY1076 ) @ SV596 )
= SV605 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3909]) ).
thf(3920,plain,
! [SV591: $i] :
( ( ( ~ ( leq @ n0 @ SV591 )
| ~ ( leq @ SV591 @ n3 ) )
= $true )
| ( ( ( SV591 = n0 )
| ( SV591 = n1 )
| ( SV591 = n2 )
| ( SV591 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3910]) ).
thf(3921,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) )
| ~ ( leq @ n0 @ SV583 ) )
| ~ ( leq @ SV583 @ SV594 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3912]) ).
thf(3922,plain,
! [SV584: $i] :
( ( ( ~ ( leq @ n0 @ SV584 ) )
= $true )
| ( ( ~ ( leq @ SV584 @ n2 ) )
= $true )
| ( ( ( SV584 = n0 )
| ( SV584 = n1 )
| ( SV584 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3913]) ).
thf(3923,plain,
! [SV585: $i] :
( ( ( ~ ( leq @ n0 @ SV585 ) )
= $true )
| ( ( ~ ( leq @ SV585 @ n0 ) )
= $true )
| ( ( SV585 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3914]) ).
thf(3924,plain,
! [SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ! [SY1077: $i,SY1078: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) )
| ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SY1077 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SY1078 ) @ SV600 @ SV604 )
= SY1077 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3915]) ).
thf(3925,plain,
! [SV587: $i] :
( ( ( ~ ( leq @ n0 @ SV587 ) )
= $true )
| ( ( ~ ( leq @ SV587 @ n4 ) )
= $true )
| ( ( ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 )
| ( SV587 = n3 )
| ( SV587 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3916]) ).
thf(3926,plain,
! [SV588: $i] :
( ( ( ~ ( leq @ n0 @ SV588 ) )
= $true )
| ( ( ~ ( leq @ SV588 @ n1 ) )
= $true )
| ( ( ( SV588 = n0 )
| ( SV588 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3917]) ).
thf(3927,plain,
! [SV589: $i] :
( ( ( ~ ( leq @ n0 @ SV589 ) )
= $true )
| ( ( ~ ( leq @ SV589 @ n5 ) )
= $true )
| ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 )
| ( SV589 = n4 )
| ( SV589 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3918]) ).
thf(3928,plain,
! [SV607: $i,SV605: $i,SV601: $i,SV596: $i,SV590: $i] :
( ( ~ ~ ( ~ ( ( SV590 != SV596 ) )
| ( ( a_select2 @ SV601 @ SV596 )
!= SV605 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SV607 ) @ SV596 )
= SV605 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3919]) ).
thf(3929,plain,
! [SV591: $i] :
( ( ( ~ ( leq @ n0 @ SV591 ) )
= $true )
| ( ( ~ ( leq @ SV591 @ n3 ) )
= $true )
| ( ( ( SV591 = n0 )
| ( SV591 = n1 )
| ( SV591 = n2 )
| ( SV591 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3920]) ).
thf(3930,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) )
| ~ ( leq @ n0 @ SV583 ) )
| ~ ( leq @ SV583 @ SV594 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3921]) ).
thf(3931,plain,
! [SV584: $i] :
( ( ( leq @ n0 @ SV584 )
= $false )
| ( ( ~ ( leq @ SV584 @ n2 ) )
= $true )
| ( ( ( SV584 = n0 )
| ( SV584 = n1 )
| ( SV584 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3922]) ).
thf(3932,plain,
! [SV585: $i] :
( ( ( leq @ n0 @ SV585 )
= $false )
| ( ( ~ ( leq @ SV585 @ n0 ) )
= $true )
| ( ( SV585 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3923]) ).
thf(3933,plain,
! [SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ! [SY1079: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) )
| ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SY1079 ) @ SV600 @ SV604 )
= SV608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3924]) ).
thf(3934,plain,
! [SV587: $i] :
( ( ( leq @ n0 @ SV587 )
= $false )
| ( ( ~ ( leq @ SV587 @ n4 ) )
= $true )
| ( ( ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 )
| ( SV587 = n3 )
| ( SV587 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3925]) ).
thf(3935,plain,
! [SV588: $i] :
( ( ( leq @ n0 @ SV588 )
= $false )
| ( ( ~ ( leq @ SV588 @ n1 ) )
= $true )
| ( ( ( SV588 = n0 )
| ( SV588 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3926]) ).
thf(3936,plain,
! [SV589: $i] :
( ( ( leq @ n0 @ SV589 )
= $false )
| ( ( ~ ( leq @ SV589 @ n5 ) )
= $true )
| ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 )
| ( SV589 = n4 )
| ( SV589 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3927]) ).
thf(3937,plain,
! [SV607: $i,SV605: $i,SV601: $i,SV596: $i,SV590: $i] :
( ( ( ~ ~ ( ~ ( ( SV590 != SV596 ) )
| ( ( a_select2 @ SV601 @ SV596 )
!= SV605 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SV607 ) @ SV596 )
= SV605 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3928]) ).
thf(3938,plain,
! [SV591: $i] :
( ( ( leq @ n0 @ SV591 )
= $false )
| ( ( ~ ( leq @ SV591 @ n3 ) )
= $true )
| ( ( ( SV591 = n0 )
| ( SV591 = n1 )
| ( SV591 = n2 )
| ( SV591 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3929]) ).
thf(3939,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ( ~ ~ ( ~ ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) )
| ~ ( leq @ n0 @ SV583 ) )
| ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3930]) ).
thf(3940,plain,
! [SV584: $i] :
( ( ( leq @ SV584 @ n2 )
= $false )
| ( ( leq @ n0 @ SV584 )
= $false )
| ( ( ( SV584 = n0 )
| ( SV584 = n1 )
| ( SV584 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3931]) ).
thf(3941,plain,
! [SV585: $i] :
( ( ( leq @ SV585 @ n0 )
= $false )
| ( ( leq @ n0 @ SV585 )
= $false )
| ( ( SV585 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3932]) ).
thf(3942,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) )
| ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3933]) ).
thf(3943,plain,
! [SV587: $i] :
( ( ( leq @ SV587 @ n4 )
= $false )
| ( ( leq @ n0 @ SV587 )
= $false )
| ( ( ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 )
| ( SV587 = n3 )
| ( SV587 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3934]) ).
thf(3944,plain,
! [SV588: $i] :
( ( ( leq @ SV588 @ n1 )
= $false )
| ( ( leq @ n0 @ SV588 )
= $false )
| ( ( ( SV588 = n0 )
| ( SV588 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3935]) ).
thf(3945,plain,
! [SV589: $i] :
( ( ( leq @ SV589 @ n5 )
= $false )
| ( ( leq @ n0 @ SV589 )
= $false )
| ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 )
| ( SV589 = n4 )
| ( SV589 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3936]) ).
thf(3946,plain,
! [SV607: $i,SV605: $i,SV601: $i,SV596: $i,SV590: $i] :
( ( ( ~ ( ~ ( ( SV590 != SV596 ) )
| ( ( a_select2 @ SV601 @ SV596 )
!= SV605 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SV607 ) @ SV596 )
= SV605 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3937]) ).
thf(3947,plain,
! [SV591: $i] :
( ( ( leq @ SV591 @ n3 )
= $false )
| ( ( leq @ n0 @ SV591 )
= $false )
| ( ( ( SV591 = n0 )
| ( SV591 = n1 )
| ( SV591 = n2 )
| ( SV591 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3938]) ).
thf(3948,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ( ~ ~ ( ~ ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) )
| ~ ( leq @ n0 @ SV583 ) ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3939]) ).
thf(3949,plain,
! [SV584: $i] :
( ( ( ( SV584 = n0 )
| ( SV584 = n1 ) )
= $true )
| ( ( SV584 = n2 )
= $true )
| ( ( leq @ n0 @ SV584 )
= $false )
| ( ( leq @ SV584 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3940]) ).
thf(3950,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) )
| ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3942]) ).
thf(3951,plain,
! [SV587: $i] :
( ( ( ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 )
| ( SV587 = n3 ) )
= $true )
| ( ( SV587 = n4 )
= $true )
| ( ( leq @ n0 @ SV587 )
= $false )
| ( ( leq @ SV587 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3943]) ).
thf(3952,plain,
! [SV588: $i] :
( ( ( SV588 = n0 )
= $true )
| ( ( SV588 = n1 )
= $true )
| ( ( leq @ n0 @ SV588 )
= $false )
| ( ( leq @ SV588 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3944]) ).
thf(3953,plain,
! [SV589: $i] :
( ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 )
| ( SV589 = n4 ) )
= $true )
| ( ( SV589 = n5 )
= $true )
| ( ( leq @ n0 @ SV589 )
= $false )
| ( ( leq @ SV589 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3945]) ).
thf(3954,plain,
! [SV607: $i,SV605: $i,SV601: $i,SV596: $i,SV590: $i] :
( ( ( ~ ( ( SV590 != SV596 ) )
| ( ( a_select2 @ SV601 @ SV596 )
!= SV605 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SV607 ) @ SV596 )
= SV605 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3946]) ).
thf(3955,plain,
! [SV591: $i] :
( ( ( ( SV591 = n0 )
| ( SV591 = n1 )
| ( SV591 = n2 ) )
= $true )
| ( ( SV591 = n3 )
= $true )
| ( ( leq @ n0 @ SV591 )
= $false )
| ( ( leq @ SV591 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3947]) ).
thf(3956,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ( ~ ( ~ ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) )
| ~ ( leq @ n0 @ SV583 ) ) )
= $false )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3948]) ).
thf(3957,plain,
! [SV584: $i] :
( ( ( SV584 = n0 )
= $true )
| ( ( SV584 = n1 )
= $true )
| ( ( SV584 = n2 )
= $true )
| ( ( leq @ n0 @ SV584 )
= $false )
| ( ( leq @ SV584 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3949]) ).
thf(3958,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) )
| ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3950]) ).
thf(3959,plain,
! [SV587: $i] :
( ( ( ( SV587 = n0 )
| ( SV587 = n1 )
| ( SV587 = n2 ) )
= $true )
| ( ( SV587 = n3 )
= $true )
| ( ( SV587 = n4 )
= $true )
| ( ( leq @ n0 @ SV587 )
= $false )
| ( ( leq @ SV587 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3951]) ).
thf(3960,plain,
! [SV589: $i] :
( ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 )
| ( SV589 = n3 ) )
= $true )
| ( ( SV589 = n4 )
= $true )
| ( ( SV589 = n5 )
= $true )
| ( ( leq @ n0 @ SV589 )
= $false )
| ( ( leq @ SV589 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3953]) ).
thf(3961,plain,
! [SV607: $i,SV605: $i,SV601: $i,SV596: $i,SV590: $i] :
( ( ( ~ ( ( SV590 != SV596 ) ) )
= $true )
| ( ( ( a_select2 @ SV601 @ SV596 )
!= SV605 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SV607 ) @ SV596 )
= SV605 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3954]) ).
thf(3962,plain,
! [SV591: $i] :
( ( ( ( SV591 = n0 )
| ( SV591 = n1 ) )
= $true )
| ( ( SV591 = n2 )
= $true )
| ( ( SV591 = n3 )
= $true )
| ( ( leq @ n0 @ SV591 )
= $false )
| ( ( leq @ SV591 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3955]) ).
thf(3963,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ( ~ ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) )
| ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3956]) ).
thf(3964,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) )
| ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3958]) ).
thf(3965,plain,
! [SV587: $i] :
( ( ( ( SV587 = n0 )
| ( SV587 = n1 ) )
= $true )
| ( ( SV587 = n2 )
= $true )
| ( ( SV587 = n3 )
= $true )
| ( ( SV587 = n4 )
= $true )
| ( ( leq @ n0 @ SV587 )
= $false )
| ( ( leq @ SV587 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3959]) ).
thf(3966,plain,
! [SV589: $i] :
( ( ( ( SV589 = n0 )
| ( SV589 = n1 )
| ( SV589 = n2 ) )
= $true )
| ( ( SV589 = n3 )
= $true )
| ( ( SV589 = n4 )
= $true )
| ( ( SV589 = n5 )
= $true )
| ( ( leq @ n0 @ SV589 )
= $false )
| ( ( leq @ SV589 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3960]) ).
thf(3967,plain,
! [SV607: $i,SV605: $i,SV601: $i,SV596: $i,SV590: $i] :
( ( ( SV590 != SV596 )
= $false )
| ( ( ( a_select2 @ SV601 @ SV596 )
!= SV605 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SV607 ) @ SV596 )
= SV605 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3961]) ).
thf(3968,plain,
! [SV591: $i] :
( ( ( SV591 = n0 )
= $true )
| ( ( SV591 = n1 )
= $true )
| ( ( SV591 = n2 )
= $true )
| ( ( SV591 = n3 )
= $true )
| ( ( leq @ n0 @ SV591 )
= $false )
| ( ( leq @ SV591 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3962]) ).
thf(3969,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ( ~ ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3963]) ).
thf(3970,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( ~ ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) ) )
= $true )
| ( ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3964]) ).
thf(3971,plain,
! [SV587: $i] :
( ( ( SV587 = n0 )
= $true )
| ( ( SV587 = n1 )
= $true )
| ( ( SV587 = n2 )
= $true )
| ( ( SV587 = n3 )
= $true )
| ( ( SV587 = n4 )
= $true )
| ( ( leq @ n0 @ SV587 )
= $false )
| ( ( leq @ SV587 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3965]) ).
thf(3972,plain,
! [SV589: $i] :
( ( ( ( SV589 = n0 )
| ( SV589 = n1 ) )
= $true )
| ( ( SV589 = n2 )
= $true )
| ( ( SV589 = n3 )
= $true )
| ( ( SV589 = n4 )
= $true )
| ( ( SV589 = n5 )
= $true )
| ( ( leq @ n0 @ SV589 )
= $false )
| ( ( leq @ SV589 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3966]) ).
thf(3973,plain,
! [SV607: $i,SV605: $i,SV601: $i,SV596: $i,SV590: $i] :
( ( ( SV590 = SV596 )
= $true )
| ( ( ( a_select2 @ SV601 @ SV596 )
!= SV605 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SV607 ) @ SV596 )
= SV605 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3967]) ).
thf(3974,plain,
! [SV583: $i,SV603: $i,SV599: $i,SV594: $i] :
( ( ( ! [SY1072: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY1072 )
| ~ ( leq @ SY1072 @ SV594 ) )
| ( ( a_select2 @ SV599 @ SY1072 )
= SV603 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3969]) ).
thf(3975,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( ~ ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) ) )
= $false )
| ( ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3970]) ).
thf(3976,plain,
! [SV589: $i] :
( ( ( SV589 = n0 )
= $true )
| ( ( SV589 = n1 )
= $true )
| ( ( SV589 = n2 )
= $true )
| ( ( SV589 = n3 )
= $true )
| ( ( SV589 = n4 )
= $true )
| ( ( SV589 = n5 )
= $true )
| ( ( leq @ n0 @ SV589 )
= $false )
| ( ( leq @ SV589 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3972]) ).
thf(3977,plain,
! [SV607: $i,SV590: $i,SV605: $i,SV596: $i,SV601: $i] :
( ( ( ( a_select2 @ SV601 @ SV596 )
= SV605 )
= $false )
| ( ( SV590 = SV596 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV601 @ SV590 @ SV607 ) @ SV596 )
= SV605 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3973]) ).
thf(3978,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
| ~ ( leq @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) @ SV594 ) )
| ( ( a_select2 @ SV599 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
= SV603 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3974]) ).
thf(3979,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( ~ ( ( SV586 != SV600 ) )
| ( SV595 != SV604 ) )
= $true )
| ( ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3975]) ).
thf(3980,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
| ~ ( leq @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) @ SV594 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3978]) ).
thf(3981,plain,
! [SV594: $i,SV603: $i,SV583: $i,SV599: $i] :
( ( ( ( a_select2 @ SV599 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
= SV603 )
= $false )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3978]) ).
thf(3982,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( ~ ( ( SV586 != SV600 ) ) )
= $true )
| ( ( SV595 != SV604 )
= $true )
| ( ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3979]) ).
thf(3983,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
| ~ ( leq @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) @ SV594 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3980]) ).
thf(3984,plain,
! [SV594: $i,SV603: $i,SV599: $i,SV583: $i] :
( ( ( leq @ n0 @ SV583 )
= $false )
| ( ( ( a_select2 @ SV599 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
= SV603 )
= $false )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3981]) ).
thf(3985,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( SV586 != SV600 )
= $false )
| ( ( SV595 != SV604 )
= $true )
| ( ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3982]) ).
thf(3986,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( ~ ( leq @ n0 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
| ~ ( leq @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) @ SV594 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3983]) ).
thf(3987,plain,
! [SV603: $i,SV599: $i,SV594: $i,SV583: $i] :
( ( ( leq @ SV583 @ SV594 )
= $false )
| ( ( ( a_select2 @ SV599 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
= SV603 )
= $false )
| ( ( leq @ n0 @ SV583 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3984]) ).
thf(3988,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV604: $i,SV595: $i,SV600: $i,SV586: $i] :
( ( ( SV586 = SV600 )
= $true )
| ( ( SV595 != SV604 )
= $true )
| ( ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3985]) ).
thf(3989,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( ~ ( leq @ n0 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3986]) ).
thf(3990,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( ~ ( leq @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) @ SV594 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3986]) ).
thf(3991,plain,
! [SV609: $i,SV608: $i,SV606: $i,SV600: $i,SV586: $i,SV604: $i,SV595: $i] :
( ( ( SV595 = SV604 )
= $false )
| ( ( SV586 = SV600 )
= $true )
| ( ( ( a_select3 @ SV606 @ SV600 @ SV604 )
!= SV608 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3988]) ).
thf(3992,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( leq @ n0 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3989]) ).
thf(3993,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( leq @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) @ SV594 )
= $true )
| ( ( ~ ( leq @ n0 @ SV583 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3990]) ).
thf(3994,plain,
! [SV609: $i,SV595: $i,SV586: $i,SV608: $i,SV604: $i,SV600: $i,SV606: $i] :
( ( ( ( a_select3 @ SV606 @ SV600 @ SV604 )
= SV608 )
= $false )
| ( ( SV586 = SV600 )
= $true )
| ( ( SV595 = SV604 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV606 @ SV586 @ SV595 @ SV609 ) @ SV600 @ SV604 )
= SV608 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3991]) ).
thf(3995,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( leq @ n0 @ SV583 )
= $false )
| ( ( leq @ n0 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3992]) ).
thf(3996,plain,
! [SV594: $i,SV599: $i,SV603: $i,SV583: $i] :
( ( ( leq @ n0 @ SV583 )
= $false )
| ( ( leq @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) @ SV594 )
= $true )
| ( ( ~ ( leq @ SV583 @ SV594 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3993]) ).
thf(3997,plain,
! [SV599: $i,SV603: $i,SV594: $i,SV583: $i] :
( ( ( leq @ SV583 @ SV594 )
= $false )
| ( ( leq @ n0 @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) )
= $true )
| ( ( leq @ n0 @ SV583 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3995]) ).
thf(3998,plain,
! [SV599: $i,SV603: $i,SV594: $i,SV583: $i] :
( ( ( leq @ SV583 @ SV594 )
= $false )
| ( ( leq @ ( sK21_SY1072 @ SV583 @ SV603 @ SV599 @ SV594 ) @ SV594 )
= $true )
| ( ( leq @ n0 @ SV583 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV599 @ SV594 @ SV603 ) @ SV583 )
= SV603 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3996]) ).
thf(3999,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[3824,3998,3997,3994,3987,3977,3976,3971,3968,3957,3952,3941,3911,3901,3882,3878,3864,3863,3862,3861,3860,3859,3858,3857,3856,3855,3854,3853,3852,3851,3850,3849,3848,3847,3846,3845,3838,3837,3836,3835,3834,3833,3832,3831,3830,3829,3828,3827,3826,3825]) ).
thf(4000,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3999,359,541,723,905,1087,1269,1451,1633,1815,1997,2179,2361,2543,2725,2907,3089,3271,3453,3635,3817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV090+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.22 % Computer : n008.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Oct 6 16:20:02 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 292.89/49.45
% 292.89/49.45 No.of.Axioms: 32
% 292.89/49.45
% 292.89/49.45 Length.of.Defs: 0
% 292.89/49.45
% 292.89/49.45 Contains.Choice.Funs: false
% 292.89/49.45 ...............................................................................................................................................
% 292.89/49.45
% 292.89/49.45 ********************************
% 292.89/49.45 * All subproblems solved! *
% 292.89/49.45 ********************************
% 292.89/49.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:47,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:262,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3999,loop_count:0,foatp_calls:1,translation:fof_full)
% 292.89/49.45
% 292.89/49.45 %**** Beginning of derivation protocol ****
% 292.89/49.45 % SZS output start CNFRefutation
% See solution above
% 292.89/49.48
% 292.89/49.48 %**** End of derivation protocol ****
% 292.89/49.48 %**** no. of clauses in derivation: 3948 ****
% 292.89/49.48 %**** clause counter: 3999 ****
% 292.89/49.48
% 292.89/49.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:47,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:262,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3999,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------