%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV102+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 10:54:50 AM UTC 2026
% Result : Theorem 29.06s 5.04s
% Output : CNFRefutation 29.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 33
% Syntax : Number of formulae : 2796 (1406 unt; 0 typ; 0 def)
% Number of atoms : 22946 (13071 equ; 0 cnn)
% Maximal formula atoms : 27 ( 8 avg)
% Number of connectives : 33146 (6636 ~;7740 |; 293 &;18304 @)
% ( 0 <=>; 173 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 52 usr; 17 con; 0-4 aty)
% Number of variables : 6675 ( 0 ^;6675 !; 0 ?;6675 :)
% 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_SY525,type,
sK10_SY525: $i > $i > $i > $i > $i ).
thf(tp_sK11_SY575,type,
sK11_SY575: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY622,type,
sK12_SY622: $i > $i > $i > $i > $i ).
thf(tp_sK13_SY673,type,
sK13_SY673: $i > $i > $i > $i > $i ).
thf(tp_sK14_SY725,type,
sK14_SY725: $i > $i > $i > $i > $i ).
thf(tp_sK15_SY776,type,
sK15_SY776: $i > $i > $i > $i > $i ).
thf(tp_sK1_SY72,type,
sK1_SY72: $i > $i > $i > $i > $i ).
thf(tp_sK2_SY122,type,
sK2_SY122: $i > $i > $i > $i > $i ).
thf(tp_sK3_SY173,type,
sK3_SY173: $i > $i > $i > $i > $i ).
thf(tp_sK4_SY222,type,
sK4_SY222: $i > $i > $i > $i > $i ).
thf(tp_sK5_SY276,type,
sK5_SY276: $i > $i > $i > $i > $i ).
thf(tp_sK6_SY326,type,
sK6_SY326: $i > $i > $i > $i > $i ).
thf(tp_sK7_SY376,type,
sK7_SY376: $i > $i > $i > $i > $i ).
thf(tp_sK8_SY422,type,
sK8_SY422: $i > $i > $i > $i > $i ).
thf(tp_sK9_SY472,type,
sK9_SY472: $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(1,axiom,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
thf(2,axiom,
( ( succ @ ( succ @ n0 ) )
= n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
thf(3,axiom,
( ( succ @ n0 )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
thf(4,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
thf(5,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
thf(8,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
thf(9,axiom,
! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',finite_domain_4) ).
thf(12,axiom,
gt @ n5 @ n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
thf(13,axiom,
gt @ n4 @ n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
thf(14,axiom,
gt @ n3 @ n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
thf(15,axiom,
gt @ n5 @ n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
thf(16,axiom,
gt @ n4 @ n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
thf(17,axiom,
gt @ n3 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
thf(18,axiom,
gt @ n2 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
thf(19,axiom,
gt @ n5 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
thf(20,axiom,
gt @ n4 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
thf(21,axiom,
gt @ n3 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
thf(22,axiom,
gt @ n2 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
thf(23,axiom,
gt @ n1 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
thf(24,axiom,
gt @ n5 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
thf(25,axiom,
gt @ n4 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
thf(32,axiom,
gt @ n5 @ n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
thf(33,axiom,
def != use,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sel3_update_1) ).
thf(85,conjecture,
( ( ( ( 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 @ 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 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
= use ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0014) ).
thf(86,negated_conjecture,
( ( ( ( ( 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 @ 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 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
= use ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[85]) ).
thf(87,plain,
( ( ( ( ( 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 @ 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 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
= 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 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(121,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(122,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(123,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(124,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(125,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(126,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(127,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(128,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(129,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(130,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(131,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(132,plain,
( ( ( ( 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 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
= use ) )
= $false ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(133,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(134,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(135,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(136,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(137,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(138,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(139,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(140,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(141,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(142,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(143,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(144,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(145,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(146,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(147,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[132]) ).
thf(148,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[133]) ).
thf(149,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[134]) ).
thf(150,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[135]) ).
thf(151,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[136]) ).
thf(152,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[137]) ).
thf(153,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[138]) ).
thf(154,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[139]) ).
thf(155,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[140]) ).
thf(156,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[141]) ).
thf(157,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[142]) ).
thf(158,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[143]) ).
thf(159,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[144]) ).
thf(160,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[145]) ).
thf(161,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[146]) ).
thf(162,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[147]) ).
thf(163,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(164,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(165,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(166,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(167,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(168,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(169,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(170,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(171,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(172,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(173,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(174,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(175,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(176,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(177,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(178,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(179,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(180,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(181,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(182,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(183,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(184,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(185,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(186,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(187,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(188,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(189,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(190,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(191,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(192,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(193,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(194,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(195,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(196,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(197,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(198,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(199,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(200,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(201,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(202,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(203,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(204,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(205,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(206,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(207,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(208,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)],[167]) ).
thf(209,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)],[164]) ).
thf(210,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)],[185]) ).
thf(211,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)],[166]) ).
thf(212,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)],[184]) ).
thf(213,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(214,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(215,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(216,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(217,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(218,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)],[163]) ).
thf(219,plain,
! [SV2: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ( a_select2 @ ( tptp_update2 @ SV2 @ SY33 @ SY34 ) @ SY33 )
= SY34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(220,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(221,plain,
! [SV3: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY35 ) )
| ( ( a_select2 @ SY36 @ SX4 )
= SY37 ) )
| ~ ( leq @ n0 @ SV3 ) )
| ~ ( leq @ SV3 @ SY35 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY36 @ SY35 @ SY37 ) @ SV3 )
= SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV4: $i] :
( ( ! [SY39: $i,SY40: $i,SY41: $i,SY42: $i,SY43: $i,SY44: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV4 != SY40 ) )
| ( SY39 != SY41 ) )
| ( ( a_select3 @ SY42 @ SY40 @ SY41 )
!= SY43 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY42 @ SV4 @ SY39 @ SY44 ) @ SY40 @ SY41 )
= SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n5 ) )
| ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 )
| ( SV5 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(224,plain,
! [SV6: $i] :
( ( ! [SY45: $i,SY46: $i,SY47: $i,SY48: $i] :
( ~ ~ ( ~ ( ( SV6 != SY45 ) )
| ( ( a_select2 @ SY46 @ SY45 )
!= SY47 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY46 @ SV6 @ SY48 ) @ SY45 )
= SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(225,plain,
! [SV7: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV7 )
| ~ ( leq @ SV7 @ n4 ) )
| ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 )
| ( SV7 = n3 )
| ( SV7 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(226,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n1 ) )
| ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(227,plain,
! [SV9: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV9 )
| ~ ( leq @ SV9 @ n0 ) )
| ( SV9 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(228,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(229,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) )
| ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(230,plain,
! [SV11: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV11 )
| ~ ( leq @ SV11 @ n2 ) )
| ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(231,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)],[218]) ).
thf(232,plain,
! [SV13: $i,SV2: $i] :
( ( ! [SY51: $i] :
( ( a_select2 @ ( tptp_update2 @ SV2 @ SV13 @ SY51 ) @ SV13 )
= SY51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(233,plain,
! [SV3: $i,SV14: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY54: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY54 )
| ~ ( leq @ SY54 @ SV14 ) )
| ( ( a_select2 @ SY52 @ SY54 )
= SY53 ) )
| ~ ( leq @ n0 @ SV3 ) )
| ~ ( leq @ SV3 @ SV14 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY52 @ SV14 @ SY53 ) @ SV3 )
= SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(234,plain,
! [SV15: $i,SV4: $i] :
( ( ! [SY55: $i,SY56: $i,SY57: $i,SY58: $i,SY59: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV4 != SY55 ) )
| ( SV15 != SY56 ) )
| ( ( a_select3 @ SY57 @ SY55 @ SY56 )
!= SY58 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY57 @ SV4 @ SV15 @ SY59 ) @ SY55 @ SY56 )
= SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(235,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n5 ) ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 )
| ( SV5 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(236,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY60: $i,SY61: $i,SY62: $i] :
( ~ ~ ( ~ ( ( SV6 != SV16 ) )
| ( ( a_select2 @ SY60 @ SV16 )
!= SY61 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY60 @ SV6 @ SY62 ) @ SV16 )
= SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(237,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV7 )
| ~ ( leq @ SV7 @ n4 ) ) )
= $true )
| ( ( ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 )
| ( SV7 = n3 )
| ( SV7 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(238,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n1 ) ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV9: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV9 )
| ~ ( leq @ SV9 @ n0 ) ) )
= $true )
| ( ( SV9 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(240,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)],[229]) ).
thf(241,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV11 )
| ~ ( leq @ SV11 @ n2 ) ) )
= $true )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(242,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)],[231]) ).
thf(243,plain,
! [SV18: $i,SV13: $i,SV2: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV2 @ SV13 @ SV18 ) @ SV13 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(244,plain,
! [SV3: $i,SV19: $i,SV14: $i] :
( ( ! [SY64: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY65: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY65 )
| ~ ( leq @ SY65 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY65 )
= SY64 ) )
| ~ ( leq @ n0 @ SV3 ) )
| ~ ( leq @ SV3 @ SV14 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SY64 ) @ SV3 )
= SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(245,plain,
! [SV15: $i,SV20: $i,SV4: $i] :
( ( ! [SY66: $i,SY67: $i,SY68: $i,SY69: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SY66 ) )
| ( ( a_select3 @ SY67 @ SV20 @ SY66 )
!= SY68 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY67 @ SV4 @ SV15 @ SY69 ) @ SV20 @ SY66 )
= SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(246,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n5 ) ) )
= $false )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 )
| ( SV5 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(247,plain,
! [SV21: $i,SV16: $i,SV6: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( ( SV6 != SV16 ) )
| ( ( a_select2 @ SV21 @ SV16 )
!= SY70 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SY71 ) @ SV16 )
= SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(248,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV7 )
| ~ ( leq @ SV7 @ n4 ) ) )
= $false )
| ( ( ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 )
| ( SV7 = n3 )
| ( SV7 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(249,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n1 ) ) )
= $false )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(250,plain,
! [SV9: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV9 )
| ~ ( leq @ SV9 @ n0 ) ) )
= $false )
| ( ( SV9 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(251,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)],[240]) ).
thf(252,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV11 )
| ~ ( leq @ SV11 @ n2 ) ) )
= $false )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(253,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)],[242]) ).
thf(254,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) )
| ~ ( leq @ n0 @ SV3 ) )
| ~ ( leq @ SV3 @ SV14 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(255,plain,
! [SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ! [SY73: $i,SY74: $i,SY75: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) )
| ( ( a_select3 @ SY73 @ SV20 @ SV24 )
!= SY74 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY73 @ SV4 @ SV15 @ SY75 ) @ SV20 @ SV24 )
= SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(256,plain,
! [SV5: $i] :
( ( ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n5 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 )
| ( SV5 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(257,plain,
! [SV25: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ! [SY76: $i] :
( ~ ~ ( ~ ( ( SV6 != SV16 ) )
| ( ( a_select2 @ SV21 @ SV16 )
!= SV25 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SY76 ) @ SV16 )
= SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(258,plain,
! [SV7: $i] :
( ( ( ~ ( leq @ n0 @ SV7 )
| ~ ( leq @ SV7 @ n4 ) )
= $true )
| ( ( ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 )
| ( SV7 = n3 )
| ( SV7 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(259,plain,
! [SV8: $i] :
( ( ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n1 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(260,plain,
! [SV9: $i] :
( ( ( ~ ( leq @ n0 @ SV9 )
| ~ ( leq @ SV9 @ n0 ) )
= $true )
| ( ( SV9 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(261,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)],[251]) ).
thf(262,plain,
! [SV11: $i] :
( ( ( ~ ( leq @ n0 @ SV11 )
| ~ ( leq @ SV11 @ n2 ) )
= $true )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(263,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) )
| ~ ( leq @ n0 @ SV3 ) )
| ~ ( leq @ SV3 @ SV14 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(264,plain,
! [SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) )
| ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SY77 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SY78 ) @ SV20 @ SV24 )
= SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(265,plain,
! [SV5: $i] :
( ( ( ~ ( leq @ n0 @ SV5 ) )
= $true )
| ( ( ~ ( leq @ SV5 @ n5 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 )
| ( SV5 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(266,plain,
! [SV27: $i,SV25: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ~ ~ ( ~ ( ( SV6 != SV16 ) )
| ( ( a_select2 @ SV21 @ SV16 )
!= SV25 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SV27 ) @ SV16 )
= SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(267,plain,
! [SV7: $i] :
( ( ( ~ ( leq @ n0 @ SV7 ) )
= $true )
| ( ( ~ ( leq @ SV7 @ n4 ) )
= $true )
| ( ( ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 )
| ( SV7 = n3 )
| ( SV7 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(268,plain,
! [SV8: $i] :
( ( ( ~ ( leq @ n0 @ SV8 ) )
= $true )
| ( ( ~ ( leq @ SV8 @ n1 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(269,plain,
! [SV9: $i] :
( ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ n0 ) )
= $true )
| ( ( SV9 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(270,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)],[261]) ).
thf(271,plain,
! [SV11: $i] :
( ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ n2 ) )
= $true )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(272,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) )
| ~ ( leq @ n0 @ SV3 ) )
| ~ ( leq @ SV3 @ SV14 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(273,plain,
! [SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ! [SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) )
| ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SY79 ) @ SV20 @ SV24 )
= SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(274,plain,
! [SV5: $i] :
( ( ( leq @ n0 @ SV5 )
= $false )
| ( ( ~ ( leq @ SV5 @ n5 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 )
| ( SV5 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(275,plain,
! [SV27: $i,SV25: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( ( SV6 != SV16 ) )
| ( ( a_select2 @ SV21 @ SV16 )
!= SV25 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SV27 ) @ SV16 )
= SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(276,plain,
! [SV7: $i] :
( ( ( leq @ n0 @ SV7 )
= $false )
| ( ( ~ ( leq @ SV7 @ n4 ) )
= $true )
| ( ( ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 )
| ( SV7 = n3 )
| ( SV7 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(277,plain,
! [SV8: $i] :
( ( ( leq @ n0 @ SV8 )
= $false )
| ( ( ~ ( leq @ SV8 @ n1 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(278,plain,
! [SV9: $i] :
( ( ( leq @ n0 @ SV9 )
= $false )
| ( ( ~ ( leq @ SV9 @ n0 ) )
= $true )
| ( ( SV9 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(279,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)],[270]) ).
thf(280,plain,
! [SV11: $i] :
( ( ( leq @ n0 @ SV11 )
= $false )
| ( ( ~ ( leq @ SV11 @ n2 ) )
= $true )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(281,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) )
| ~ ( leq @ n0 @ SV3 ) )
| ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(282,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) )
| ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(283,plain,
! [SV5: $i] :
( ( ( leq @ SV5 @ n5 )
= $false )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 )
| ( SV5 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV27: $i,SV25: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( ~ ( ( SV6 != SV16 ) )
| ( ( a_select2 @ SV21 @ SV16 )
!= SV25 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SV27 ) @ SV16 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(285,plain,
! [SV7: $i] :
( ( ( leq @ SV7 @ n4 )
= $false )
| ( ( leq @ n0 @ SV7 )
= $false )
| ( ( ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 )
| ( SV7 = n3 )
| ( SV7 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(286,plain,
! [SV8: $i] :
( ( ( leq @ SV8 @ n1 )
= $false )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(287,plain,
! [SV9: $i] :
( ( ( leq @ SV9 @ n0 )
= $false )
| ( ( leq @ n0 @ SV9 )
= $false )
| ( ( SV9 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(288,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)],[279]) ).
thf(289,plain,
! [SV11: $i] :
( ( ( leq @ SV11 @ n2 )
= $false )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(290,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) )
| ~ ( leq @ n0 @ SV3 ) ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(291,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) )
| ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(292,plain,
! [SV5: $i] :
( ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 ) )
= $true )
| ( ( SV5 = n5 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(293,plain,
! [SV27: $i,SV25: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( ( SV6 != SV16 ) )
| ( ( a_select2 @ SV21 @ SV16 )
!= SV25 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SV27 ) @ SV16 )
= SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(294,plain,
! [SV7: $i] :
( ( ( ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 )
| ( SV7 = n3 ) )
= $true )
| ( ( SV7 = n4 )
= $true )
| ( ( leq @ n0 @ SV7 )
= $false )
| ( ( leq @ SV7 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(295,plain,
! [SV8: $i] :
( ( ( SV8 = n0 )
= $true )
| ( ( SV8 = n1 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(296,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)],[288]) ).
thf(297,plain,
! [SV11: $i] :
( ( ( ( SV11 = n0 )
| ( SV11 = n1 ) )
= $true )
| ( ( SV11 = n2 )
= $true )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ SV11 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(298,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ( ~ ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) )
| ~ ( leq @ n0 @ SV3 ) ) )
= $false )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(299,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) )
| ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(300,plain,
! [SV5: $i] :
( ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 ) )
= $true )
| ( ( SV5 = n4 )
= $true )
| ( ( SV5 = n5 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(301,plain,
! [SV27: $i,SV25: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( ( SV6 != SV16 ) ) )
= $true )
| ( ( ( a_select2 @ SV21 @ SV16 )
!= SV25 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SV27 ) @ SV16 )
= SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(302,plain,
! [SV7: $i] :
( ( ( ( SV7 = n0 )
| ( SV7 = n1 )
| ( SV7 = n2 ) )
= $true )
| ( ( SV7 = n3 )
= $true )
| ( ( SV7 = n4 )
= $true )
| ( ( leq @ n0 @ SV7 )
= $false )
| ( ( leq @ SV7 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(303,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)],[296]) ).
thf(304,plain,
! [SV11: $i] :
( ( ( SV11 = n0 )
= $true )
| ( ( SV11 = n1 )
= $true )
| ( ( SV11 = n2 )
= $true )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ SV11 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(305,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) )
| ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(306,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) )
| ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(307,plain,
! [SV5: $i] :
( ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true )
| ( ( SV5 = n3 )
= $true )
| ( ( SV5 = n4 )
= $true )
| ( ( SV5 = n5 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(308,plain,
! [SV27: $i,SV25: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ( SV6 != SV16 )
= $false )
| ( ( ( a_select2 @ SV21 @ SV16 )
!= SV25 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SV27 ) @ SV16 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(309,plain,
! [SV7: $i] :
( ( ( ( SV7 = n0 )
| ( SV7 = n1 ) )
= $true )
| ( ( SV7 = n2 )
= $true )
| ( ( SV7 = n3 )
= $true )
| ( ( SV7 = n4 )
= $true )
| ( ( leq @ n0 @ SV7 )
= $false )
| ( ( leq @ SV7 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(310,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)],[303]) ).
thf(311,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ( ~ ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(312,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) ) )
= $true )
| ( ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(313,plain,
! [SV5: $i] :
( ( ( ( SV5 = n0 )
| ( SV5 = n1 ) )
= $true )
| ( ( SV5 = n2 )
= $true )
| ( ( SV5 = n3 )
= $true )
| ( ( SV5 = n4 )
= $true )
| ( ( SV5 = n5 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(314,plain,
! [SV27: $i,SV25: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ( SV6 = SV16 )
= $true )
| ( ( ( a_select2 @ SV21 @ SV16 )
!= SV25 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SV27 ) @ SV16 )
= SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(315,plain,
! [SV7: $i] :
( ( ( SV7 = n0 )
= $true )
| ( ( SV7 = n1 )
= $true )
| ( ( SV7 = n2 )
= $true )
| ( ( SV7 = n3 )
= $true )
| ( ( SV7 = n4 )
= $true )
| ( ( leq @ n0 @ SV7 )
= $false )
| ( ( leq @ SV7 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(316,plain,
! [SV3: $i,SV23: $i,SV19: $i,SV14: $i] :
( ( ( ! [SY72: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY72 )
| ~ ( leq @ SY72 @ SV14 ) )
| ( ( a_select2 @ SV19 @ SY72 )
= SV23 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(317,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( ~ ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) ) )
= $false )
| ( ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(318,plain,
! [SV5: $i] :
( ( ( SV5 = n0 )
= $true )
| ( ( SV5 = n1 )
= $true )
| ( ( SV5 = n2 )
= $true )
| ( ( SV5 = n3 )
= $true )
| ( ( SV5 = n4 )
= $true )
| ( ( SV5 = n5 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(319,plain,
! [SV27: $i,SV6: $i,SV25: $i,SV16: $i,SV21: $i] :
( ( ( ( a_select2 @ SV21 @ SV16 )
= SV25 )
= $false )
| ( ( SV6 = SV16 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV21 @ SV6 @ SV27 ) @ SV16 )
= SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(320,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
| ~ ( leq @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) @ SV14 ) )
| ( ( a_select2 @ SV19 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
= SV23 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[316]) ).
thf(321,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != SV20 ) )
| ( SV15 != SV24 ) )
= $true )
| ( ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(322,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
| ~ ( leq @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) @ SV14 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(323,plain,
! [SV14: $i,SV23: $i,SV3: $i,SV19: $i] :
( ( ( ( a_select2 @ SV19 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
= SV23 )
= $false )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(324,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != SV20 ) ) )
= $true )
| ( ( SV15 != SV24 )
= $true )
| ( ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(325,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
| ~ ( leq @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) @ SV14 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(326,plain,
! [SV14: $i,SV23: $i,SV19: $i,SV3: $i] :
( ( ( leq @ n0 @ SV3 )
= $false )
| ( ( ( a_select2 @ SV19 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
= SV23 )
= $false )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(327,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( SV4 != SV20 )
= $false )
| ( ( SV15 != SV24 )
= $true )
| ( ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(328,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( ~ ( leq @ n0 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
| ~ ( leq @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) @ SV14 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(329,plain,
! [SV23: $i,SV19: $i,SV14: $i,SV3: $i] :
( ( ( leq @ SV3 @ SV14 )
= $false )
| ( ( ( a_select2 @ SV19 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
= SV23 )
= $false )
| ( ( leq @ n0 @ SV3 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(330,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV24: $i,SV15: $i,SV20: $i,SV4: $i] :
( ( ( SV4 = SV20 )
= $true )
| ( ( SV15 != SV24 )
= $true )
| ( ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(331,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( ~ ( leq @ n0 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(332,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( ~ ( leq @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) @ SV14 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(333,plain,
! [SV29: $i,SV28: $i,SV26: $i,SV20: $i,SV4: $i,SV24: $i,SV15: $i] :
( ( ( SV15 = SV24 )
= $false )
| ( ( SV4 = SV20 )
= $true )
| ( ( ( a_select3 @ SV26 @ SV20 @ SV24 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(334,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( leq @ n0 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(335,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( leq @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) @ SV14 )
= $true )
| ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(336,plain,
! [SV29: $i,SV15: $i,SV4: $i,SV28: $i,SV24: $i,SV20: $i,SV26: $i] :
( ( ( ( a_select3 @ SV26 @ SV20 @ SV24 )
= SV28 )
= $false )
| ( ( SV4 = SV20 )
= $true )
| ( ( SV15 = SV24 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV26 @ SV4 @ SV15 @ SV29 ) @ SV20 @ SV24 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(337,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( leq @ n0 @ SV3 )
= $false )
| ( ( leq @ n0 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(338,plain,
! [SV14: $i,SV19: $i,SV23: $i,SV3: $i] :
( ( ( leq @ n0 @ SV3 )
= $false )
| ( ( leq @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) @ SV14 )
= $true )
| ( ( ~ ( leq @ SV3 @ SV14 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(339,plain,
! [SV19: $i,SV23: $i,SV14: $i,SV3: $i] :
( ( ( leq @ SV3 @ SV14 )
= $false )
| ( ( leq @ n0 @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) )
= $true )
| ( ( leq @ n0 @ SV3 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(340,plain,
! [SV19: $i,SV23: $i,SV14: $i,SV3: $i] :
( ( ( leq @ SV3 @ SV14 )
= $false )
| ( ( leq @ ( sK1_SY72 @ SV3 @ SV23 @ SV19 @ SV14 ) @ SV14 )
= $true )
| ( ( leq @ n0 @ SV3 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV14 @ SV23 ) @ SV3 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(341,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[169,340,339,336,329,319,318,315,310,304,295,287,253,243,228,220,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,183,182,181,180,179,178,177,176,175,174,173,172,171,170]) ).
thf(342,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(343,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(344,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(345,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(346,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(347,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(348,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(349,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(350,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(351,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(352,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(353,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(354,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(355,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(356,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(357,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(358,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(359,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(360,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(361,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(362,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(363,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(364,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(365,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(366,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(367,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(368,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(369,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(370,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(371,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(372,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(373,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(374,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(375,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(376,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(377,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(378,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(379,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(380,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(381,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(382,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(383,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(384,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(385,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(386,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
!= use )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(387,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(388,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)],[346]) ).
thf(389,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(390,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)],[343]) ).
thf(391,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)],[363]) ).
thf(392,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(393,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)],[345]) ).
thf(394,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(395,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(396,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)],[364]) ).
thf(397,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)],[342]) ).
thf(398,plain,
! [SV31: $i] :
( ( ! [SY83: $i,SY84: $i] :
( ( a_select2 @ ( tptp_update2 @ SV31 @ SY83 @ SY84 ) @ SY83 )
= SY84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(399,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(400,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(401,plain,
! [SV32: $i] :
( ( ! [SY85: $i,SY86: $i,SY87: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY85 ) )
| ( ( a_select2 @ SY86 @ SX4 )
= SY87 ) )
| ~ ( leq @ n0 @ SV32 ) )
| ~ ( leq @ SV32 @ SY85 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY86 @ SY85 @ SY87 ) @ SV32 )
= SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(402,plain,
! [SV33: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV33 )
| ~ ( leq @ SV33 @ n2 ) )
| ( SV33 = n0 )
| ( SV33 = n1 )
| ( SV33 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(403,plain,
! [SV34: $i] :
( ( ! [SY89: $i,SY90: $i,SY91: $i,SY92: $i,SY93: $i,SY94: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV34 != SY90 ) )
| ( SY89 != SY91 ) )
| ( ( a_select3 @ SY92 @ SY90 @ SY91 )
!= SY93 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY92 @ SV34 @ SY89 @ SY94 ) @ SY90 @ SY91 )
= SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(404,plain,
! [SV35: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV35 )
| ~ ( leq @ SV35 @ n4 ) )
| ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 )
| ( SV35 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(405,plain,
! [SV36: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n3 ) )
| ( SV36 = n0 )
| ( SV36 = n1 )
| ( SV36 = n2 )
| ( SV36 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(406,plain,
! [SV37: $i] :
( ( ! [SY95: $i,SY96: $i,SY97: $i,SY98: $i] :
( ~ ~ ( ~ ( ( SV37 != SY95 ) )
| ( ( a_select2 @ SY96 @ SY95 )
!= SY97 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY96 @ SV37 @ SY98 ) @ SY95 )
= SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(407,plain,
! [SV38: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV38 )
| ~ ( leq @ SV38 @ n1 ) )
| ( SV38 = n0 )
| ( SV38 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(408,plain,
! [SV39: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n0 ) )
| ( SV39 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(409,plain,
! [SV40: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV40 )
| ~ ( leq @ SV40 @ n5 ) )
| ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 )
| ( SV40 = n4 )
| ( SV40 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(410,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)],[397]) ).
thf(411,plain,
! [SV42: $i,SV31: $i] :
( ( ! [SY101: $i] :
( ( a_select2 @ ( tptp_update2 @ SV31 @ SV42 @ SY101 ) @ SV42 )
= SY101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(412,plain,
! [SV32: $i,SV43: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY104: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY104 )
| ~ ( leq @ SY104 @ SV43 ) )
| ( ( a_select2 @ SY102 @ SY104 )
= SY103 ) )
| ~ ( leq @ n0 @ SV32 ) )
| ~ ( leq @ SV32 @ SV43 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY102 @ SV43 @ SY103 ) @ SV32 )
= SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(413,plain,
! [SV33: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV33 )
| ~ ( leq @ SV33 @ n2 ) ) )
= $true )
| ( ( ( SV33 = n0 )
| ( SV33 = n1 )
| ( SV33 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(414,plain,
! [SV44: $i,SV34: $i] :
( ( ! [SY105: $i,SY106: $i,SY107: $i,SY108: $i,SY109: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV34 != SY105 ) )
| ( SV44 != SY106 ) )
| ( ( a_select3 @ SY107 @ SY105 @ SY106 )
!= SY108 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY107 @ SV34 @ SV44 @ SY109 ) @ SY105 @ SY106 )
= SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(415,plain,
! [SV35: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV35 )
| ~ ( leq @ SV35 @ n4 ) ) )
= $true )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 )
| ( SV35 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(416,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n3 ) ) )
= $true )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 )
| ( SV36 = n2 )
| ( SV36 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(417,plain,
! [SV45: $i,SV37: $i] :
( ( ! [SY110: $i,SY111: $i,SY112: $i] :
( ~ ~ ( ~ ( ( SV37 != SV45 ) )
| ( ( a_select2 @ SY110 @ SV45 )
!= SY111 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY110 @ SV37 @ SY112 ) @ SV45 )
= SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(418,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV38 )
| ~ ( leq @ SV38 @ n1 ) ) )
= $true )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(419,plain,
! [SV39: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n0 ) ) )
= $true )
| ( ( SV39 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(420,plain,
! [SV40: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV40 )
| ~ ( leq @ SV40 @ n5 ) ) )
= $true )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 )
| ( SV40 = n4 )
| ( SV40 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(421,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)],[410]) ).
thf(422,plain,
! [SV47: $i,SV42: $i,SV31: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV31 @ SV42 @ SV47 ) @ SV42 )
= SV47 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(423,plain,
! [SV32: $i,SV48: $i,SV43: $i] :
( ( ! [SY114: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY115: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY115 )
| ~ ( leq @ SY115 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY115 )
= SY114 ) )
| ~ ( leq @ n0 @ SV32 ) )
| ~ ( leq @ SV32 @ SV43 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SY114 ) @ SV32 )
= SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(424,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV33 )
| ~ ( leq @ SV33 @ n2 ) ) )
= $false )
| ( ( ( SV33 = n0 )
| ( SV33 = n1 )
| ( SV33 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(425,plain,
! [SV44: $i,SV49: $i,SV34: $i] :
( ( ! [SY116: $i,SY117: $i,SY118: $i,SY119: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SY116 ) )
| ( ( a_select3 @ SY117 @ SV49 @ SY116 )
!= SY118 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY117 @ SV34 @ SV44 @ SY119 ) @ SV49 @ SY116 )
= SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(426,plain,
! [SV35: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV35 )
| ~ ( leq @ SV35 @ n4 ) ) )
= $false )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 )
| ( SV35 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(427,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n3 ) ) )
= $false )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 )
| ( SV36 = n2 )
| ( SV36 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(428,plain,
! [SV50: $i,SV45: $i,SV37: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ~ ~ ( ~ ( ( SV37 != SV45 ) )
| ( ( a_select2 @ SV50 @ SV45 )
!= SY120 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SY121 ) @ SV45 )
= SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(429,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV38 )
| ~ ( leq @ SV38 @ n1 ) ) )
= $false )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(430,plain,
! [SV39: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n0 ) ) )
= $false )
| ( ( SV39 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(431,plain,
! [SV40: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV40 )
| ~ ( leq @ SV40 @ n5 ) ) )
= $false )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 )
| ( SV40 = n4 )
| ( SV40 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(432,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)],[421]) ).
thf(433,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV32 ) )
| ~ ( leq @ SV32 @ SV43 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(434,plain,
! [SV33: $i] :
( ( ( ~ ( leq @ n0 @ SV33 )
| ~ ( leq @ SV33 @ n2 ) )
= $true )
| ( ( ( SV33 = n0 )
| ( SV33 = n1 )
| ( SV33 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(435,plain,
! [SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) )
| ( ( a_select3 @ SY123 @ SV49 @ SV53 )
!= SY124 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY123 @ SV34 @ SV44 @ SY125 ) @ SV49 @ SV53 )
= SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(436,plain,
! [SV35: $i] :
( ( ( ~ ( leq @ n0 @ SV35 )
| ~ ( leq @ SV35 @ n4 ) )
= $true )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 )
| ( SV35 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(437,plain,
! [SV36: $i] :
( ( ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n3 ) )
= $true )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 )
| ( SV36 = n2 )
| ( SV36 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(438,plain,
! [SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ! [SY126: $i] :
( ~ ~ ( ~ ( ( SV37 != SV45 ) )
| ( ( a_select2 @ SV50 @ SV45 )
!= SV54 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SY126 ) @ SV45 )
= SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(439,plain,
! [SV38: $i] :
( ( ( ~ ( leq @ n0 @ SV38 )
| ~ ( leq @ SV38 @ n1 ) )
= $true )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(440,plain,
! [SV39: $i] :
( ( ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n0 ) )
= $true )
| ( ( SV39 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(441,plain,
! [SV40: $i] :
( ( ( ~ ( leq @ n0 @ SV40 )
| ~ ( leq @ SV40 @ n5 ) )
= $true )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 )
| ( SV40 = n4 )
| ( SV40 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(442,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV32 ) )
| ~ ( leq @ SV32 @ SV43 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(443,plain,
! [SV33: $i] :
( ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ n2 ) )
= $true )
| ( ( ( SV33 = n0 )
| ( SV33 = n1 )
| ( SV33 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(444,plain,
! [SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) )
| ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SY127 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SY128 ) @ SV49 @ SV53 )
= SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(445,plain,
! [SV35: $i] :
( ( ( ~ ( leq @ n0 @ SV35 ) )
= $true )
| ( ( ~ ( leq @ SV35 @ n4 ) )
= $true )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 )
| ( SV35 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(446,plain,
! [SV36: $i] :
( ( ( ~ ( leq @ n0 @ SV36 ) )
= $true )
| ( ( ~ ( leq @ SV36 @ n3 ) )
= $true )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 )
| ( SV36 = n2 )
| ( SV36 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(447,plain,
! [SV56: $i,SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ~ ~ ( ~ ( ( SV37 != SV45 ) )
| ( ( a_select2 @ SV50 @ SV45 )
!= SV54 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SV56 ) @ SV45 )
= SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(448,plain,
! [SV38: $i] :
( ( ( ~ ( leq @ n0 @ SV38 ) )
= $true )
| ( ( ~ ( leq @ SV38 @ n1 ) )
= $true )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(449,plain,
! [SV39: $i] :
( ( ( ~ ( leq @ n0 @ SV39 ) )
= $true )
| ( ( ~ ( leq @ SV39 @ n0 ) )
= $true )
| ( ( SV39 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(450,plain,
! [SV40: $i] :
( ( ( ~ ( leq @ n0 @ SV40 ) )
= $true )
| ( ( ~ ( leq @ SV40 @ n5 ) )
= $true )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 )
| ( SV40 = n4 )
| ( SV40 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(451,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV32 ) )
| ~ ( leq @ SV32 @ SV43 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(452,plain,
! [SV33: $i] :
( ( ( leq @ n0 @ SV33 )
= $false )
| ( ( ~ ( leq @ SV33 @ n2 ) )
= $true )
| ( ( ( SV33 = n0 )
| ( SV33 = n1 )
| ( SV33 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(453,plain,
! [SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) )
| ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SY129 ) @ SV49 @ SV53 )
= SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(454,plain,
! [SV35: $i] :
( ( ( leq @ n0 @ SV35 )
= $false )
| ( ( ~ ( leq @ SV35 @ n4 ) )
= $true )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 )
| ( SV35 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(455,plain,
! [SV36: $i] :
( ( ( leq @ n0 @ SV36 )
= $false )
| ( ( ~ ( leq @ SV36 @ n3 ) )
= $true )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 )
| ( SV36 = n2 )
| ( SV36 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(456,plain,
! [SV56: $i,SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( ( SV37 != SV45 ) )
| ( ( a_select2 @ SV50 @ SV45 )
!= SV54 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SV56 ) @ SV45 )
= SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(457,plain,
! [SV38: $i] :
( ( ( leq @ n0 @ SV38 )
= $false )
| ( ( ~ ( leq @ SV38 @ n1 ) )
= $true )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(458,plain,
! [SV39: $i] :
( ( ( leq @ n0 @ SV39 )
= $false )
| ( ( ~ ( leq @ SV39 @ n0 ) )
= $true )
| ( ( SV39 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(459,plain,
! [SV40: $i] :
( ( ( leq @ n0 @ SV40 )
= $false )
| ( ( ~ ( leq @ SV40 @ n5 ) )
= $true )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 )
| ( SV40 = n4 )
| ( SV40 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(460,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV32 ) )
| ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(461,plain,
! [SV33: $i] :
( ( ( leq @ SV33 @ n2 )
= $false )
| ( ( leq @ n0 @ SV33 )
= $false )
| ( ( ( SV33 = n0 )
| ( SV33 = n1 )
| ( SV33 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(462,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) )
| ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(463,plain,
! [SV35: $i] :
( ( ( leq @ SV35 @ n4 )
= $false )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 )
| ( SV35 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(464,plain,
! [SV36: $i] :
( ( ( leq @ SV36 @ n3 )
= $false )
| ( ( leq @ n0 @ SV36 )
= $false )
| ( ( ( SV36 = n0 )
| ( SV36 = n1 )
| ( SV36 = n2 )
| ( SV36 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(465,plain,
! [SV56: $i,SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ( ~ ( ~ ( ( SV37 != SV45 ) )
| ( ( a_select2 @ SV50 @ SV45 )
!= SV54 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SV56 ) @ SV45 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(466,plain,
! [SV38: $i] :
( ( ( leq @ SV38 @ n1 )
= $false )
| ( ( leq @ n0 @ SV38 )
= $false )
| ( ( ( SV38 = n0 )
| ( SV38 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(467,plain,
! [SV39: $i] :
( ( ( leq @ SV39 @ n0 )
= $false )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( SV39 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(468,plain,
! [SV40: $i] :
( ( ( leq @ SV40 @ n5 )
= $false )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 )
| ( SV40 = n4 )
| ( SV40 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(469,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV32 ) ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(470,plain,
! [SV33: $i] :
( ( ( ( SV33 = n0 )
| ( SV33 = n1 ) )
= $true )
| ( ( SV33 = n2 )
= $true )
| ( ( leq @ n0 @ SV33 )
= $false )
| ( ( leq @ SV33 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(471,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) )
| ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(472,plain,
! [SV35: $i] :
( ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 ) )
= $true )
| ( ( SV35 = n4 )
= $true )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( leq @ SV35 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(473,plain,
! [SV36: $i] :
( ( ( ( SV36 = n0 )
| ( SV36 = n1 )
| ( SV36 = n2 ) )
= $true )
| ( ( SV36 = n3 )
= $true )
| ( ( leq @ n0 @ SV36 )
= $false )
| ( ( leq @ SV36 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(474,plain,
! [SV56: $i,SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ( ~ ( ( SV37 != SV45 ) )
| ( ( a_select2 @ SV50 @ SV45 )
!= SV54 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SV56 ) @ SV45 )
= SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(475,plain,
! [SV38: $i] :
( ( ( SV38 = n0 )
= $true )
| ( ( SV38 = n1 )
= $true )
| ( ( leq @ n0 @ SV38 )
= $false )
| ( ( leq @ SV38 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(476,plain,
! [SV40: $i] :
( ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 )
| ( SV40 = n4 ) )
= $true )
| ( ( SV40 = n5 )
= $true )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( leq @ SV40 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(477,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV32 ) ) )
= $false )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(478,plain,
! [SV33: $i] :
( ( ( SV33 = n0 )
= $true )
| ( ( SV33 = n1 )
= $true )
| ( ( SV33 = n2 )
= $true )
| ( ( leq @ n0 @ SV33 )
= $false )
| ( ( leq @ SV33 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(479,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) )
| ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(480,plain,
! [SV35: $i] :
( ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 ) )
= $true )
| ( ( SV35 = n3 )
= $true )
| ( ( SV35 = n4 )
= $true )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( leq @ SV35 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(481,plain,
! [SV36: $i] :
( ( ( ( SV36 = n0 )
| ( SV36 = n1 ) )
= $true )
| ( ( SV36 = n2 )
= $true )
| ( ( SV36 = n3 )
= $true )
| ( ( leq @ n0 @ SV36 )
= $false )
| ( ( leq @ SV36 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(482,plain,
! [SV56: $i,SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ( ~ ( ( SV37 != SV45 ) ) )
= $true )
| ( ( ( a_select2 @ SV50 @ SV45 )
!= SV54 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SV56 ) @ SV45 )
= SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(483,plain,
! [SV40: $i] :
( ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 )
| ( SV40 = n3 ) )
= $true )
| ( ( SV40 = n4 )
= $true )
| ( ( SV40 = n5 )
= $true )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( leq @ SV40 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(484,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(485,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) )
| ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(486,plain,
! [SV35: $i] :
( ( ( ( SV35 = n0 )
| ( SV35 = n1 ) )
= $true )
| ( ( SV35 = n2 )
= $true )
| ( ( SV35 = n3 )
= $true )
| ( ( SV35 = n4 )
= $true )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( leq @ SV35 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(487,plain,
! [SV36: $i] :
( ( ( SV36 = n0 )
= $true )
| ( ( SV36 = n1 )
= $true )
| ( ( SV36 = n2 )
= $true )
| ( ( SV36 = n3 )
= $true )
| ( ( leq @ n0 @ SV36 )
= $false )
| ( ( leq @ SV36 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(488,plain,
! [SV56: $i,SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ( SV37 != SV45 )
= $false )
| ( ( ( a_select2 @ SV50 @ SV45 )
!= SV54 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SV56 ) @ SV45 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(489,plain,
! [SV40: $i] :
( ( ( ( SV40 = n0 )
| ( SV40 = n1 )
| ( SV40 = n2 ) )
= $true )
| ( ( SV40 = n3 )
= $true )
| ( ( SV40 = n4 )
= $true )
| ( ( SV40 = n5 )
= $true )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( leq @ SV40 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(490,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(491,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) ) )
= $true )
| ( ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(492,plain,
! [SV35: $i] :
( ( ( SV35 = n0 )
= $true )
| ( ( SV35 = n1 )
= $true )
| ( ( SV35 = n2 )
= $true )
| ( ( SV35 = n3 )
= $true )
| ( ( SV35 = n4 )
= $true )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( leq @ SV35 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(493,plain,
! [SV56: $i,SV54: $i,SV50: $i,SV45: $i,SV37: $i] :
( ( ( SV37 = SV45 )
= $true )
| ( ( ( a_select2 @ SV50 @ SV45 )
!= SV54 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SV56 ) @ SV45 )
= SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(494,plain,
! [SV40: $i] :
( ( ( ( SV40 = n0 )
| ( SV40 = n1 ) )
= $true )
| ( ( SV40 = n2 )
= $true )
| ( ( SV40 = n3 )
= $true )
| ( ( SV40 = n4 )
= $true )
| ( ( SV40 = n5 )
= $true )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( leq @ SV40 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(495,plain,
! [SV32: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(496,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( ~ ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) ) )
= $false )
| ( ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(497,plain,
! [SV56: $i,SV37: $i,SV54: $i,SV45: $i,SV50: $i] :
( ( ( ( a_select2 @ SV50 @ SV45 )
= SV54 )
= $false )
| ( ( SV37 = SV45 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV50 @ SV37 @ SV56 ) @ SV45 )
= SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(498,plain,
! [SV40: $i] :
( ( ( SV40 = n0 )
= $true )
| ( ( SV40 = n1 )
= $true )
| ( ( SV40 = n2 )
= $true )
| ( ( SV40 = n3 )
= $true )
| ( ( SV40 = n4 )
= $true )
| ( ( SV40 = n5 )
= $true )
| ( ( leq @ n0 @ SV40 )
= $false )
| ( ( leq @ SV40 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(499,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
| ~ ( leq @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) @ SV43 ) )
| ( ( a_select2 @ SV48 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
= SV52 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[495]) ).
thf(500,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( ~ ( ( SV34 != SV49 ) )
| ( SV44 != SV53 ) )
= $true )
| ( ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(501,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
| ~ ( leq @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) @ SV43 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(502,plain,
! [SV43: $i,SV52: $i,SV32: $i,SV48: $i] :
( ( ( ( a_select2 @ SV48 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
= SV52 )
= $false )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(503,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( ~ ( ( SV34 != SV49 ) ) )
= $true )
| ( ( SV44 != SV53 )
= $true )
| ( ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(504,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
| ~ ( leq @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) @ SV43 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(505,plain,
! [SV43: $i,SV52: $i,SV48: $i,SV32: $i] :
( ( ( leq @ n0 @ SV32 )
= $false )
| ( ( ( a_select2 @ SV48 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
= SV52 )
= $false )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(506,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( SV34 != SV49 )
= $false )
| ( ( SV44 != SV53 )
= $true )
| ( ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(507,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
| ~ ( leq @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) @ SV43 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(508,plain,
! [SV52: $i,SV48: $i,SV43: $i,SV32: $i] :
( ( ( leq @ SV32 @ SV43 )
= $false )
| ( ( ( a_select2 @ SV48 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
= SV52 )
= $false )
| ( ( leq @ n0 @ SV32 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(509,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV53: $i,SV44: $i,SV49: $i,SV34: $i] :
( ( ( SV34 = SV49 )
= $true )
| ( ( SV44 != SV53 )
= $true )
| ( ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(510,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(511,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( ~ ( leq @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) @ SV43 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(512,plain,
! [SV58: $i,SV57: $i,SV55: $i,SV49: $i,SV34: $i,SV53: $i,SV44: $i] :
( ( ( SV44 = SV53 )
= $false )
| ( ( SV34 = SV49 )
= $true )
| ( ( ( a_select3 @ SV55 @ SV49 @ SV53 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(513,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( leq @ n0 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(514,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( leq @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) @ SV43 )
= $true )
| ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(515,plain,
! [SV58: $i,SV44: $i,SV34: $i,SV57: $i,SV53: $i,SV49: $i,SV55: $i] :
( ( ( ( a_select3 @ SV55 @ SV49 @ SV53 )
= SV57 )
= $false )
| ( ( SV34 = SV49 )
= $true )
| ( ( SV44 = SV53 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV55 @ SV34 @ SV44 @ SV58 ) @ SV49 @ SV53 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(516,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( leq @ n0 @ SV32 )
= $false )
| ( ( leq @ n0 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(517,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV32: $i] :
( ( ( leq @ n0 @ SV32 )
= $false )
| ( ( leq @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) @ SV43 )
= $true )
| ( ( ~ ( leq @ SV32 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(518,plain,
! [SV48: $i,SV52: $i,SV43: $i,SV32: $i] :
( ( ( leq @ SV32 @ SV43 )
= $false )
| ( ( leq @ n0 @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) )
= $true )
| ( ( leq @ n0 @ SV32 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(519,plain,
! [SV48: $i,SV52: $i,SV43: $i,SV32: $i] :
( ( ( leq @ SV32 @ SV43 )
= $false )
| ( ( leq @ ( sK2_SY122 @ SV32 @ SV52 @ SV48 @ SV43 ) @ SV43 )
= $true )
| ( ( leq @ n0 @ SV32 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV32 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(520,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[348,519,518,515,508,498,497,492,487,478,475,467,432,422,400,399,385,384,383,382,381,380,379,378,377,376,375,374,373,372,371,370,369,362,361,360,359,358,357,356,355,354,353,352,351,350,349]) ).
thf(521,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(522,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(523,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(524,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(525,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(526,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(527,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(528,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(529,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(530,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(531,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(532,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(533,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(534,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(535,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(536,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(537,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(538,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(539,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(540,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(541,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(542,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(543,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(544,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(545,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(546,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(547,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(548,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(549,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(550,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(551,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(552,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(553,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(554,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(555,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(556,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(557,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(558,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(559,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(560,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(561,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(562,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(563,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(564,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(565,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
!= use )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(566,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)],[524]) ).
thf(567,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[546]) ).
thf(568,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)],[525]) ).
thf(569,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)],[542]) ).
thf(570,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[544]) ).
thf(571,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[547]) ).
thf(572,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[526]) ).
thf(573,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[545]) ).
thf(574,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)],[522]) ).
thf(575,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)],[543]) ).
thf(576,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)],[521]) ).
thf(577,plain,
! [SV60: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ( a_select2 @ ( tptp_update2 @ SV60 @ SY133 @ SY134 ) @ SY133 )
= SY134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(578,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(579,plain,
! [SV61: $i] :
( ( ! [SY135: $i,SY136: $i,SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( ( SV61 != SY135 ) )
| ( ( a_select2 @ SY136 @ SY135 )
!= SY137 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY136 @ SV61 @ SY138 ) @ SY135 )
= SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(580,plain,
! [SV62: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) )
| ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(581,plain,
! [SV63: $i] :
( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY139 ) )
| ( ( a_select2 @ SY140 @ SX4 )
= SY141 ) )
| ~ ( leq @ n0 @ SV63 ) )
| ~ ( leq @ SV63 @ SY139 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY140 @ SY139 @ SY141 ) @ SV63 )
= SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(582,plain,
! [SV64: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV64 )
| ~ ( leq @ SV64 @ n4 ) )
| ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 )
| ( SV64 = n3 )
| ( SV64 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(583,plain,
! [SV65: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n0 ) )
| ( SV65 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(584,plain,
! [SV66: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV66 )
| ~ ( leq @ SV66 @ n3 ) )
| ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(585,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(586,plain,
! [SV67: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n1 ) )
| ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(587,plain,
! [SV68: $i] :
( ( ! [SY143: $i,SY144: $i,SY145: $i,SY146: $i,SY147: $i,SY148: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV68 != SY144 ) )
| ( SY143 != SY145 ) )
| ( ( a_select3 @ SY146 @ SY144 @ SY145 )
!= SY147 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY146 @ SV68 @ SY143 @ SY148 ) @ SY144 @ SY145 )
= SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(588,plain,
! [SV69: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV69 )
| ~ ( leq @ SV69 @ n5 ) )
| ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 )
| ( SV69 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(589,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)],[576]) ).
thf(590,plain,
! [SV71: $i,SV60: $i] :
( ( ! [SY151: $i] :
( ( a_select2 @ ( tptp_update2 @ SV60 @ SV71 @ SY151 ) @ SV71 )
= SY151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(591,plain,
! [SV72: $i,SV61: $i] :
( ( ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ( ( SV61 != SV72 ) )
| ( ( a_select2 @ SY152 @ SV72 )
!= SY153 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY152 @ SV61 @ SY154 ) @ SV72 )
= SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(592,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(593,plain,
! [SV63: $i,SV73: $i] :
( ( ! [SY155: $i,SY156: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY157: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY157 )
| ~ ( leq @ SY157 @ SV73 ) )
| ( ( a_select2 @ SY155 @ SY157 )
= SY156 ) )
| ~ ( leq @ n0 @ SV63 ) )
| ~ ( leq @ SV63 @ SV73 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY155 @ SV73 @ SY156 ) @ SV63 )
= SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(594,plain,
! [SV64: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV64 )
| ~ ( leq @ SV64 @ n4 ) ) )
= $true )
| ( ( ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 )
| ( SV64 = n3 )
| ( SV64 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(595,plain,
! [SV65: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n0 ) ) )
= $true )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(596,plain,
! [SV66: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV66 )
| ~ ( leq @ SV66 @ n3 ) ) )
= $true )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(597,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n1 ) ) )
= $true )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(598,plain,
! [SV74: $i,SV68: $i] :
( ( ! [SY158: $i,SY159: $i,SY160: $i,SY161: $i,SY162: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV68 != SY158 ) )
| ( SV74 != SY159 ) )
| ( ( a_select3 @ SY160 @ SY158 @ SY159 )
!= SY161 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY160 @ SV68 @ SV74 @ SY162 ) @ SY158 @ SY159 )
= SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(599,plain,
! [SV69: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV69 )
| ~ ( leq @ SV69 @ n5 ) ) )
= $true )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 )
| ( SV69 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(600,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)],[589]) ).
thf(601,plain,
! [SV76: $i,SV71: $i,SV60: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV60 @ SV71 @ SV76 ) @ SV71 )
= SV76 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(602,plain,
! [SV77: $i,SV72: $i,SV61: $i] :
( ( ! [SY164: $i,SY165: $i] :
( ~ ~ ( ~ ( ( SV61 != SV72 ) )
| ( ( a_select2 @ SV77 @ SV72 )
!= SY164 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SY165 ) @ SV72 )
= SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(603,plain,
! [SV62: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) ) )
= $false )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(604,plain,
! [SV63: $i,SV78: $i,SV73: $i] :
( ( ! [SY166: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY167: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY167 )
| ~ ( leq @ SY167 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY167 )
= SY166 ) )
| ~ ( leq @ n0 @ SV63 ) )
| ~ ( leq @ SV63 @ SV73 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SY166 ) @ SV63 )
= SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(605,plain,
! [SV64: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV64 )
| ~ ( leq @ SV64 @ n4 ) ) )
= $false )
| ( ( ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 )
| ( SV64 = n3 )
| ( SV64 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(606,plain,
! [SV65: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n0 ) ) )
= $false )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(607,plain,
! [SV66: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV66 )
| ~ ( leq @ SV66 @ n3 ) ) )
= $false )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(608,plain,
! [SV67: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n1 ) ) )
= $false )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(609,plain,
! [SV74: $i,SV79: $i,SV68: $i] :
( ( ! [SY168: $i,SY169: $i,SY170: $i,SY171: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SY168 ) )
| ( ( a_select3 @ SY169 @ SV79 @ SY168 )
!= SY170 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY169 @ SV68 @ SV74 @ SY171 ) @ SV79 @ SY168 )
= SY170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(610,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV69 )
| ~ ( leq @ SV69 @ n5 ) ) )
= $false )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 )
| ( SV69 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(611,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)],[600]) ).
thf(612,plain,
! [SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ! [SY172: $i] :
( ~ ~ ( ~ ( ( SV61 != SV72 ) )
| ( ( a_select2 @ SV77 @ SV72 )
!= SV81 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SY172 ) @ SV72 )
= SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(613,plain,
! [SV62: $i] :
( ( ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(614,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) )
| ~ ( leq @ n0 @ SV63 ) )
| ~ ( leq @ SV63 @ SV73 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(615,plain,
! [SV64: $i] :
( ( ( ~ ( leq @ n0 @ SV64 )
| ~ ( leq @ SV64 @ n4 ) )
= $true )
| ( ( ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 )
| ( SV64 = n3 )
| ( SV64 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(616,plain,
! [SV65: $i] :
( ( ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n0 ) )
= $true )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(617,plain,
! [SV66: $i] :
( ( ( ~ ( leq @ n0 @ SV66 )
| ~ ( leq @ SV66 @ n3 ) )
= $true )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(618,plain,
! [SV67: $i] :
( ( ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n1 ) )
= $true )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(619,plain,
! [SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ! [SY174: $i,SY175: $i,SY176: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SY174 @ SV79 @ SV83 )
!= SY175 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY174 @ SV68 @ SV74 @ SY176 ) @ SV79 @ SV83 )
= SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(620,plain,
! [SV69: $i] :
( ( ( ~ ( leq @ n0 @ SV69 )
| ~ ( leq @ SV69 @ n5 ) )
= $true )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 )
| ( SV69 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(621,plain,
! [SV84: $i,SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ~ ~ ( ~ ( ( SV61 != SV72 ) )
| ( ( a_select2 @ SV77 @ SV72 )
!= SV81 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SV84 ) @ SV72 )
= SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(622,plain,
! [SV62: $i] :
( ( ( ~ ( leq @ n0 @ SV62 ) )
= $true )
| ( ( ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(623,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) )
| ~ ( leq @ n0 @ SV63 ) )
| ~ ( leq @ SV63 @ SV73 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(624,plain,
! [SV64: $i] :
( ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ n4 ) )
= $true )
| ( ( ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 )
| ( SV64 = n3 )
| ( SV64 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(625,plain,
! [SV65: $i] :
( ( ( ~ ( leq @ n0 @ SV65 ) )
= $true )
| ( ( ~ ( leq @ SV65 @ n0 ) )
= $true )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(626,plain,
! [SV66: $i] :
( ( ( ~ ( leq @ n0 @ SV66 ) )
= $true )
| ( ( ~ ( leq @ SV66 @ n3 ) )
= $true )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(627,plain,
! [SV67: $i] :
( ( ( ~ ( leq @ n0 @ SV67 ) )
= $true )
| ( ( ~ ( leq @ SV67 @ n1 ) )
= $true )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(628,plain,
! [SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ! [SY177: $i,SY178: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SY177 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SY178 ) @ SV79 @ SV83 )
= SY177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(629,plain,
! [SV69: $i] :
( ( ( ~ ( leq @ n0 @ SV69 ) )
= $true )
| ( ( ~ ( leq @ SV69 @ n5 ) )
= $true )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 )
| ( SV69 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(630,plain,
! [SV84: $i,SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( ( SV61 != SV72 ) )
| ( ( a_select2 @ SV77 @ SV72 )
!= SV81 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SV84 ) @ SV72 )
= SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(631,plain,
! [SV62: $i] :
( ( ( leq @ n0 @ SV62 )
= $false )
| ( ( ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(632,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) )
| ~ ( leq @ n0 @ SV63 ) )
| ~ ( leq @ SV63 @ SV73 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(633,plain,
! [SV64: $i] :
( ( ( leq @ n0 @ SV64 )
= $false )
| ( ( ~ ( leq @ SV64 @ n4 ) )
= $true )
| ( ( ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 )
| ( SV64 = n3 )
| ( SV64 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(634,plain,
! [SV65: $i] :
( ( ( leq @ n0 @ SV65 )
= $false )
| ( ( ~ ( leq @ SV65 @ n0 ) )
= $true )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(635,plain,
! [SV66: $i] :
( ( ( leq @ n0 @ SV66 )
= $false )
| ( ( ~ ( leq @ SV66 @ n3 ) )
= $true )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(636,plain,
! [SV67: $i] :
( ( ( leq @ n0 @ SV67 )
= $false )
| ( ( ~ ( leq @ SV67 @ n1 ) )
= $true )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(637,plain,
! [SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ! [SY179: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SY179 ) @ SV79 @ SV83 )
= SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(638,plain,
! [SV69: $i] :
( ( ( leq @ n0 @ SV69 )
= $false )
| ( ( ~ ( leq @ SV69 @ n5 ) )
= $true )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 )
| ( SV69 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(639,plain,
! [SV84: $i,SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ( ~ ( ~ ( ( SV61 != SV72 ) )
| ( ( a_select2 @ SV77 @ SV72 )
!= SV81 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SV84 ) @ SV72 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(640,plain,
! [SV62: $i] :
( ( ( leq @ SV62 @ n2 )
= $false )
| ( ( leq @ n0 @ SV62 )
= $false )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(641,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) )
| ~ ( leq @ n0 @ SV63 ) )
| ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(642,plain,
! [SV64: $i] :
( ( ( leq @ SV64 @ n4 )
= $false )
| ( ( leq @ n0 @ SV64 )
= $false )
| ( ( ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 )
| ( SV64 = n3 )
| ( SV64 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(643,plain,
! [SV65: $i] :
( ( ( leq @ SV65 @ n0 )
= $false )
| ( ( leq @ n0 @ SV65 )
= $false )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(644,plain,
! [SV66: $i] :
( ( ( leq @ SV66 @ n3 )
= $false )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(645,plain,
! [SV67: $i] :
( ( ( leq @ SV67 @ n1 )
= $false )
| ( ( leq @ n0 @ SV67 )
= $false )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(646,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(647,plain,
! [SV69: $i] :
( ( ( leq @ SV69 @ n5 )
= $false )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 )
| ( SV69 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(648,plain,
! [SV84: $i,SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ( ~ ( ( SV61 != SV72 ) )
| ( ( a_select2 @ SV77 @ SV72 )
!= SV81 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SV84 ) @ SV72 )
= SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(649,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)],[640]) ).
thf(650,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) )
| ~ ( leq @ n0 @ SV63 ) ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(651,plain,
! [SV64: $i] :
( ( ( ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 )
| ( SV64 = n3 ) )
= $true )
| ( ( SV64 = n4 )
= $true )
| ( ( leq @ n0 @ SV64 )
= $false )
| ( ( leq @ SV64 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(652,plain,
! [SV66: $i] :
( ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 ) )
= $true )
| ( ( SV66 = n3 )
= $true )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( leq @ SV66 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(653,plain,
! [SV67: $i] :
( ( ( SV67 = n0 )
= $true )
| ( ( SV67 = n1 )
= $true )
| ( ( leq @ n0 @ SV67 )
= $false )
| ( ( leq @ SV67 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(654,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(655,plain,
! [SV69: $i] :
( ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 )
| ( SV69 = n4 ) )
= $true )
| ( ( SV69 = n5 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(656,plain,
! [SV84: $i,SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ( ~ ( ( SV61 != SV72 ) ) )
= $true )
| ( ( ( a_select2 @ SV77 @ SV72 )
!= SV81 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SV84 ) @ SV72 )
= SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(657,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)],[649]) ).
thf(658,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ( ~ ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) )
| ~ ( leq @ n0 @ SV63 ) ) )
= $false )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(659,plain,
! [SV64: $i] :
( ( ( ( SV64 = n0 )
| ( SV64 = n1 )
| ( SV64 = n2 ) )
= $true )
| ( ( SV64 = n3 )
= $true )
| ( ( SV64 = n4 )
= $true )
| ( ( leq @ n0 @ SV64 )
= $false )
| ( ( leq @ SV64 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(660,plain,
! [SV66: $i] :
( ( ( ( SV66 = n0 )
| ( SV66 = n1 ) )
= $true )
| ( ( SV66 = n2 )
= $true )
| ( ( SV66 = n3 )
= $true )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( leq @ SV66 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(661,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(662,plain,
! [SV69: $i] :
( ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 )
| ( SV69 = n3 ) )
= $true )
| ( ( SV69 = n4 )
= $true )
| ( ( SV69 = n5 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(663,plain,
! [SV84: $i,SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ( SV61 != SV72 )
= $false )
| ( ( ( a_select2 @ SV77 @ SV72 )
!= SV81 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SV84 ) @ SV72 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(664,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) )
| ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(665,plain,
! [SV64: $i] :
( ( ( ( SV64 = n0 )
| ( SV64 = n1 ) )
= $true )
| ( ( SV64 = n2 )
= $true )
| ( ( SV64 = n3 )
= $true )
| ( ( SV64 = n4 )
= $true )
| ( ( leq @ n0 @ SV64 )
= $false )
| ( ( leq @ SV64 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(666,plain,
! [SV66: $i] :
( ( ( SV66 = n0 )
= $true )
| ( ( SV66 = n1 )
= $true )
| ( ( SV66 = n2 )
= $true )
| ( ( SV66 = n3 )
= $true )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( leq @ SV66 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(667,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) )
| ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(668,plain,
! [SV69: $i] :
( ( ( ( SV69 = n0 )
| ( SV69 = n1 )
| ( SV69 = n2 ) )
= $true )
| ( ( SV69 = n3 )
= $true )
| ( ( SV69 = n4 )
= $true )
| ( ( SV69 = n5 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(669,plain,
! [SV84: $i,SV81: $i,SV77: $i,SV72: $i,SV61: $i] :
( ( ( SV61 = SV72 )
= $true )
| ( ( ( a_select2 @ SV77 @ SV72 )
!= SV81 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SV84 ) @ SV72 )
= SV81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(670,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(671,plain,
! [SV64: $i] :
( ( ( SV64 = n0 )
= $true )
| ( ( SV64 = n1 )
= $true )
| ( ( SV64 = n2 )
= $true )
| ( ( SV64 = n3 )
= $true )
| ( ( SV64 = n4 )
= $true )
| ( ( leq @ n0 @ SV64 )
= $false )
| ( ( leq @ SV64 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(672,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) ) )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(673,plain,
! [SV69: $i] :
( ( ( ( SV69 = n0 )
| ( SV69 = n1 ) )
= $true )
| ( ( SV69 = n2 )
= $true )
| ( ( SV69 = n3 )
= $true )
| ( ( SV69 = n4 )
= $true )
| ( ( SV69 = n5 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(674,plain,
! [SV84: $i,SV61: $i,SV81: $i,SV72: $i,SV77: $i] :
( ( ( ( a_select2 @ SV77 @ SV72 )
= SV81 )
= $false )
| ( ( SV61 = SV72 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV77 @ SV61 @ SV84 ) @ SV72 )
= SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(675,plain,
! [SV63: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ! [SY173: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY173 )
| ~ ( leq @ SY173 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY173 )
= SV82 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(676,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( ~ ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) ) )
= $false )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(677,plain,
! [SV69: $i] :
( ( ( SV69 = n0 )
= $true )
| ( ( SV69 = n1 )
= $true )
| ( ( SV69 = n2 )
= $true )
| ( ( SV69 = n3 )
= $true )
| ( ( SV69 = n4 )
= $true )
| ( ( SV69 = n5 )
= $true )
| ( ( leq @ n0 @ SV69 )
= $false )
| ( ( leq @ SV69 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(678,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
| ~ ( leq @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) @ SV73 ) )
| ( ( a_select2 @ SV78 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
= SV82 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[675]) ).
thf(679,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( ~ ( ( SV68 != SV79 ) )
| ( SV74 != SV83 ) )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(680,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
| ~ ( leq @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) @ SV73 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(681,plain,
! [SV73: $i,SV82: $i,SV63: $i,SV78: $i] :
( ( ( ( a_select2 @ SV78 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
= SV82 )
= $false )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(682,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( ~ ( ( SV68 != SV79 ) ) )
= $true )
| ( ( SV74 != SV83 )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(683,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
| ~ ( leq @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) @ SV73 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(684,plain,
! [SV73: $i,SV82: $i,SV78: $i,SV63: $i] :
( ( ( leq @ n0 @ SV63 )
= $false )
| ( ( ( a_select2 @ SV78 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
= SV82 )
= $false )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(685,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( SV68 != SV79 )
= $false )
| ( ( SV74 != SV83 )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(686,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( ~ ( leq @ n0 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
| ~ ( leq @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) @ SV73 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(687,plain,
! [SV82: $i,SV78: $i,SV73: $i,SV63: $i] :
( ( ( leq @ SV63 @ SV73 )
= $false )
| ( ( ( a_select2 @ SV78 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
= SV82 )
= $false )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(688,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV83: $i,SV74: $i,SV79: $i,SV68: $i] :
( ( ( SV68 = SV79 )
= $true )
| ( ( SV74 != SV83 )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(689,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( ~ ( leq @ n0 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(690,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( ~ ( leq @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) @ SV73 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(691,plain,
! [SV87: $i,SV86: $i,SV85: $i,SV79: $i,SV68: $i,SV83: $i,SV74: $i] :
( ( ( SV74 = SV83 )
= $false )
| ( ( SV68 = SV79 )
= $true )
| ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(692,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( leq @ n0 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(693,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( leq @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(694,plain,
! [SV87: $i,SV74: $i,SV68: $i,SV86: $i,SV83: $i,SV79: $i,SV85: $i] :
( ( ( ( a_select3 @ SV85 @ SV79 @ SV83 )
= SV86 )
= $false )
| ( ( SV68 = SV79 )
= $true )
| ( ( SV74 = SV83 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV85 @ SV68 @ SV74 @ SV87 ) @ SV79 @ SV83 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(695,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( leq @ n0 @ SV63 )
= $false )
| ( ( leq @ n0 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(696,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV63: $i] :
( ( ( leq @ n0 @ SV63 )
= $false )
| ( ( leq @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ( leq @ SV63 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(697,plain,
! [SV78: $i,SV82: $i,SV73: $i,SV63: $i] :
( ( ( leq @ SV63 @ SV73 )
= $false )
| ( ( leq @ n0 @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) )
= $true )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(698,plain,
! [SV78: $i,SV82: $i,SV73: $i,SV63: $i] :
( ( ( leq @ SV63 @ SV73 )
= $false )
| ( ( leq @ ( sK3_SY173 @ SV63 @ SV82 @ SV78 @ SV73 ) @ SV73 )
= $true )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV63 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(699,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[527,698,697,694,687,677,674,671,666,657,653,643,611,601,585,578,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,541,540,539,538,537,536,535,534,533,532,531,530,529,528]) ).
thf(700,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(701,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(702,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(703,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(704,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(705,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(706,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(707,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(708,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(709,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(710,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(711,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(712,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(713,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(714,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(715,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(716,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(717,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(718,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(719,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(720,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(721,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(722,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(723,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(724,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(725,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(726,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(727,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(728,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(729,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(730,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(731,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(732,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(733,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(734,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(735,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(736,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(737,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(738,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(739,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(740,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(741,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(742,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(743,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(744,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
!= use )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(745,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)],[722]) ).
thf(746,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)],[704]) ).
thf(747,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[705]) ).
thf(748,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[726]) ).
thf(749,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[723]) ).
thf(750,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[724]) ).
thf(751,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[725]) ).
thf(752,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)],[703]) ).
thf(753,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)],[721]) ).
thf(754,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)],[701]) ).
thf(755,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)],[700]) ).
thf(756,plain,
! [SV89: $i] :
( ( ! [SY183: $i,SY184: $i] :
( ( a_select2 @ ( tptp_update2 @ SV89 @ SY183 @ SY184 ) @ SY183 )
= SY184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(757,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(758,plain,
! [SV90: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n5 ) )
| ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 )
| ( SV90 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(759,plain,
! [SV91: $i] :
( ( ! [SY185: $i,SY186: $i,SY187: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY185 ) )
| ( ( a_select2 @ SY186 @ SX4 )
= SY187 ) )
| ~ ( leq @ n0 @ SV91 ) )
| ~ ( leq @ SV91 @ SY185 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY186 @ SY185 @ SY187 ) @ SV91 )
= SY187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(760,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(761,plain,
! [SV92: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV92 )
| ~ ( leq @ SV92 @ n3 ) )
| ( SV92 = n0 )
| ( SV92 = n1 )
| ( SV92 = n2 )
| ( SV92 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(762,plain,
! [SV93: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n0 ) )
| ( SV93 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(763,plain,
! [SV94: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n1 ) )
| ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(764,plain,
! [SV95: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n2 ) )
| ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(765,plain,
! [SV96: $i] :
( ( ! [SY189: $i,SY190: $i,SY191: $i,SY192: $i] :
( ~ ~ ( ~ ( ( SV96 != SY189 ) )
| ( ( a_select2 @ SY190 @ SY189 )
!= SY191 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY190 @ SV96 @ SY192 ) @ SY189 )
= SY191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(766,plain,
! [SV97: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV97 )
| ~ ( leq @ SV97 @ n4 ) )
| ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 )
| ( SV97 = n3 )
| ( SV97 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(767,plain,
! [SV98: $i] :
( ( ! [SY193: $i,SY194: $i,SY195: $i,SY196: $i,SY197: $i,SY198: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV98 != SY194 ) )
| ( SY193 != SY195 ) )
| ( ( a_select3 @ SY196 @ SY194 @ SY195 )
!= SY197 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY196 @ SV98 @ SY193 @ SY198 ) @ SY194 @ SY195 )
= SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(768,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)],[755]) ).
thf(769,plain,
! [SV100: $i,SV89: $i] :
( ( ! [SY201: $i] :
( ( a_select2 @ ( tptp_update2 @ SV89 @ SV100 @ SY201 ) @ SV100 )
= SY201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(770,plain,
! [SV90: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n5 ) ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 )
| ( SV90 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(771,plain,
! [SV91: $i,SV101: $i] :
( ( ! [SY202: $i,SY203: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY204: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY204 )
| ~ ( leq @ SY204 @ SV101 ) )
| ( ( a_select2 @ SY202 @ SY204 )
= SY203 ) )
| ~ ( leq @ n0 @ SV91 ) )
| ~ ( leq @ SV91 @ SV101 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY202 @ SV101 @ SY203 ) @ SV91 )
= SY203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(772,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)],[761]) ).
thf(773,plain,
! [SV93: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n0 ) ) )
= $true )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(774,plain,
! [SV94: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n1 ) ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(775,plain,
! [SV95: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n2 ) ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(776,plain,
! [SV102: $i,SV96: $i] :
( ( ! [SY205: $i,SY206: $i,SY207: $i] :
( ~ ~ ( ~ ( ( SV96 != SV102 ) )
| ( ( a_select2 @ SY205 @ SV102 )
!= SY206 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY205 @ SV96 @ SY207 ) @ SV102 )
= SY206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(777,plain,
! [SV97: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV97 )
| ~ ( leq @ SV97 @ n4 ) ) )
= $true )
| ( ( ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 )
| ( SV97 = n3 )
| ( SV97 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(778,plain,
! [SV103: $i,SV98: $i] :
( ( ! [SY208: $i,SY209: $i,SY210: $i,SY211: $i,SY212: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV98 != SY208 ) )
| ( SV103 != SY209 ) )
| ( ( a_select3 @ SY210 @ SY208 @ SY209 )
!= SY211 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY210 @ SV98 @ SV103 @ SY212 ) @ SY208 @ SY209 )
= SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(779,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)],[768]) ).
thf(780,plain,
! [SV105: $i,SV100: $i,SV89: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV89 @ SV100 @ SV105 ) @ SV100 )
= SV105 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(781,plain,
! [SV90: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n5 ) ) )
= $false )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 )
| ( SV90 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(782,plain,
! [SV91: $i,SV106: $i,SV101: $i] :
( ( ! [SY214: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY215: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY215 )
| ~ ( leq @ SY215 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY215 )
= SY214 ) )
| ~ ( leq @ n0 @ SV91 ) )
| ~ ( leq @ SV91 @ SV101 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SY214 ) @ SV91 )
= SY214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(783,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)],[772]) ).
thf(784,plain,
! [SV93: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n0 ) ) )
= $false )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(785,plain,
! [SV94: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n1 ) ) )
= $false )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(786,plain,
! [SV95: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n2 ) ) )
= $false )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(787,plain,
! [SV107: $i,SV102: $i,SV96: $i] :
( ( ! [SY216: $i,SY217: $i] :
( ~ ~ ( ~ ( ( SV96 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SY216 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SY217 ) @ SV102 )
= SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(788,plain,
! [SV97: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV97 )
| ~ ( leq @ SV97 @ n4 ) ) )
= $false )
| ( ( ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 )
| ( SV97 = n3 )
| ( SV97 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(789,plain,
! [SV103: $i,SV108: $i,SV98: $i] :
( ( ! [SY218: $i,SY219: $i,SY220: $i,SY221: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SY218 ) )
| ( ( a_select3 @ SY219 @ SV108 @ SY218 )
!= SY220 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY219 @ SV98 @ SV103 @ SY221 ) @ SV108 @ SY218 )
= SY220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(790,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)],[779]) ).
thf(791,plain,
! [SV90: $i] :
( ( ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n5 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 )
| ( SV90 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(792,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) )
| ~ ( leq @ n0 @ SV91 ) )
| ~ ( leq @ SV91 @ SV101 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(793,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)],[783]) ).
thf(794,plain,
! [SV93: $i] :
( ( ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n0 ) )
= $true )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(795,plain,
! [SV94: $i] :
( ( ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n1 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(796,plain,
! [SV95: $i] :
( ( ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n2 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(797,plain,
! [SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ! [SY223: $i] :
( ~ ~ ( ~ ( ( SV96 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SY223 ) @ SV102 )
= SV111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(798,plain,
! [SV97: $i] :
( ( ( ~ ( leq @ n0 @ SV97 )
| ~ ( leq @ SV97 @ n4 ) )
= $true )
| ( ( ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 )
| ( SV97 = n3 )
| ( SV97 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(799,plain,
! [SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ! [SY224: $i,SY225: $i,SY226: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) )
| ( ( a_select3 @ SY224 @ SV108 @ SV112 )
!= SY225 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY224 @ SV98 @ SV103 @ SY226 ) @ SV108 @ SV112 )
= SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(800,plain,
! [SV90: $i] :
( ( ( ~ ( leq @ n0 @ SV90 ) )
= $true )
| ( ( ~ ( leq @ SV90 @ n5 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 )
| ( SV90 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(801,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) )
| ~ ( leq @ n0 @ SV91 ) )
| ~ ( leq @ SV91 @ SV101 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(802,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)],[793]) ).
thf(803,plain,
! [SV93: $i] :
( ( ( ~ ( leq @ n0 @ SV93 ) )
= $true )
| ( ( ~ ( leq @ SV93 @ n0 ) )
= $true )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(804,plain,
! [SV94: $i] :
( ( ( ~ ( leq @ n0 @ SV94 ) )
= $true )
| ( ( ~ ( leq @ SV94 @ n1 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(805,plain,
! [SV95: $i] :
( ( ( ~ ( leq @ n0 @ SV95 ) )
= $true )
| ( ( ~ ( leq @ SV95 @ n2 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(806,plain,
! [SV113: $i,SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ~ ~ ( ~ ( ( SV96 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SV113 ) @ SV102 )
= SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(807,plain,
! [SV97: $i] :
( ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ n4 ) )
= $true )
| ( ( ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 )
| ( SV97 = n3 )
| ( SV97 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(808,plain,
! [SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ! [SY227: $i,SY228: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) )
| ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SY227 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SY228 ) @ SV108 @ SV112 )
= SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(809,plain,
! [SV90: $i] :
( ( ( leq @ n0 @ SV90 )
= $false )
| ( ( ~ ( leq @ SV90 @ n5 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 )
| ( SV90 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(810,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) )
| ~ ( leq @ n0 @ SV91 ) )
| ~ ( leq @ SV91 @ SV101 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(811,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)],[802]) ).
thf(812,plain,
! [SV93: $i] :
( ( ( leq @ n0 @ SV93 )
= $false )
| ( ( ~ ( leq @ SV93 @ n0 ) )
= $true )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(813,plain,
! [SV94: $i] :
( ( ( leq @ n0 @ SV94 )
= $false )
| ( ( ~ ( leq @ SV94 @ n1 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(814,plain,
! [SV95: $i] :
( ( ( leq @ n0 @ SV95 )
= $false )
| ( ( ~ ( leq @ SV95 @ n2 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(815,plain,
! [SV113: $i,SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ( ~ ~ ( ~ ( ( SV96 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SV113 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(816,plain,
! [SV97: $i] :
( ( ( leq @ n0 @ SV97 )
= $false )
| ( ( ~ ( leq @ SV97 @ n4 ) )
= $true )
| ( ( ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 )
| ( SV97 = n3 )
| ( SV97 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(817,plain,
! [SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ! [SY229: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) )
| ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SY229 ) @ SV108 @ SV112 )
= SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(818,plain,
! [SV90: $i] :
( ( ( leq @ SV90 @ n5 )
= $false )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 )
| ( SV90 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(819,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) )
| ~ ( leq @ n0 @ SV91 ) )
| ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(820,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)],[811]) ).
thf(821,plain,
! [SV93: $i] :
( ( ( leq @ SV93 @ n0 )
= $false )
| ( ( leq @ n0 @ SV93 )
= $false )
| ( ( SV93 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(822,plain,
! [SV94: $i] :
( ( ( leq @ SV94 @ n1 )
= $false )
| ( ( leq @ n0 @ SV94 )
= $false )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(823,plain,
! [SV95: $i] :
( ( ( leq @ SV95 @ n2 )
= $false )
| ( ( leq @ n0 @ SV95 )
= $false )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 )
| ( SV95 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(824,plain,
! [SV113: $i,SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ( ~ ( ~ ( ( SV96 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SV113 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(825,plain,
! [SV97: $i] :
( ( ( leq @ SV97 @ n4 )
= $false )
| ( ( leq @ n0 @ SV97 )
= $false )
| ( ( ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 )
| ( SV97 = n3 )
| ( SV97 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(826,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) )
| ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(827,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true )
| ( ( SV90 = n5 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(828,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) )
| ~ ( leq @ n0 @ SV91 ) ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(829,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)],[820]) ).
thf(830,plain,
! [SV94: $i] :
( ( ( SV94 = n0 )
= $true )
| ( ( SV94 = n1 )
= $true )
| ( ( leq @ n0 @ SV94 )
= $false )
| ( ( leq @ SV94 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(831,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)],[823]) ).
thf(832,plain,
! [SV113: $i,SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ( ~ ( ( SV96 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SV113 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[824]) ).
thf(833,plain,
! [SV97: $i] :
( ( ( ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 )
| ( SV97 = n3 ) )
= $true )
| ( ( SV97 = n4 )
= $true )
| ( ( leq @ n0 @ SV97 )
= $false )
| ( ( leq @ SV97 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(834,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) )
| ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(835,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 ) )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( SV90 = n5 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(836,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ( ~ ( ~ ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) )
| ~ ( leq @ n0 @ SV91 ) ) )
= $false )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(837,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)],[829]) ).
thf(838,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)],[831]) ).
thf(839,plain,
! [SV113: $i,SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ( ~ ( ( SV96 != SV102 ) ) )
= $true )
| ( ( ( a_select2 @ SV107 @ SV102 )
!= SV111 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SV113 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[832]) ).
thf(840,plain,
! [SV97: $i] :
( ( ( ( SV97 = n0 )
| ( SV97 = n1 )
| ( SV97 = n2 ) )
= $true )
| ( ( SV97 = n3 )
= $true )
| ( ( SV97 = n4 )
= $true )
| ( ( leq @ n0 @ SV97 )
= $false )
| ( ( leq @ SV97 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(841,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) )
| ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(842,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 ) )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( SV90 = n5 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[835]) ).
thf(843,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ( ~ ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) )
| ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(844,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)],[837]) ).
thf(845,plain,
! [SV113: $i,SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ( SV96 != SV102 )
= $false )
| ( ( ( a_select2 @ SV107 @ SV102 )
!= SV111 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SV113 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(846,plain,
! [SV97: $i] :
( ( ( ( SV97 = n0 )
| ( SV97 = n1 ) )
= $true )
| ( ( SV97 = n2 )
= $true )
| ( ( SV97 = n3 )
= $true )
| ( ( SV97 = n4 )
= $true )
| ( ( leq @ n0 @ SV97 )
= $false )
| ( ( leq @ SV97 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(847,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) )
| ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(848,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 ) )
= $true )
| ( ( SV90 = n2 )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( SV90 = n5 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(849,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ( ~ ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(850,plain,
! [SV113: $i,SV111: $i,SV107: $i,SV102: $i,SV96: $i] :
( ( ( SV96 = SV102 )
= $true )
| ( ( ( a_select2 @ SV107 @ SV102 )
!= SV111 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SV113 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(851,plain,
! [SV97: $i] :
( ( ( SV97 = n0 )
= $true )
| ( ( SV97 = n1 )
= $true )
| ( ( SV97 = n2 )
= $true )
| ( ( SV97 = n3 )
= $true )
| ( ( SV97 = n4 )
= $true )
| ( ( leq @ n0 @ SV97 )
= $false )
| ( ( leq @ SV97 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(852,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( ~ ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) ) )
= $true )
| ( ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(853,plain,
! [SV90: $i] :
( ( ( SV90 = n0 )
= $true )
| ( ( SV90 = n1 )
= $true )
| ( ( SV90 = n2 )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( SV90 = n5 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[848]) ).
thf(854,plain,
! [SV91: $i,SV110: $i,SV106: $i,SV101: $i] :
( ( ( ! [SY222: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY222 )
| ~ ( leq @ SY222 @ SV101 ) )
| ( ( a_select2 @ SV106 @ SY222 )
= SV110 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(855,plain,
! [SV113: $i,SV96: $i,SV111: $i,SV102: $i,SV107: $i] :
( ( ( ( a_select2 @ SV107 @ SV102 )
= SV111 )
= $false )
| ( ( SV96 = SV102 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV96 @ SV113 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(856,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( ~ ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) ) )
= $false )
| ( ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(857,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
| ~ ( leq @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) @ SV101 ) )
| ( ( a_select2 @ SV106 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
= SV110 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[854]) ).
thf(858,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( ~ ( ( SV98 != SV108 ) )
| ( SV103 != SV112 ) )
= $true )
| ( ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(859,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
| ~ ( leq @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) @ SV101 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(860,plain,
! [SV101: $i,SV110: $i,SV91: $i,SV106: $i] :
( ( ( ( a_select2 @ SV106 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
= SV110 )
= $false )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(861,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( ~ ( ( SV98 != SV108 ) ) )
= $true )
| ( ( SV103 != SV112 )
= $true )
| ( ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(862,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
| ~ ( leq @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) @ SV101 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(863,plain,
! [SV101: $i,SV110: $i,SV106: $i,SV91: $i] :
( ( ( leq @ n0 @ SV91 )
= $false )
| ( ( ( a_select2 @ SV106 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
= SV110 )
= $false )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(864,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( SV98 != SV108 )
= $false )
| ( ( SV103 != SV112 )
= $true )
| ( ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(865,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( ~ ( leq @ n0 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
| ~ ( leq @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) @ SV101 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(866,plain,
! [SV110: $i,SV106: $i,SV101: $i,SV91: $i] :
( ( ( leq @ SV91 @ SV101 )
= $false )
| ( ( ( a_select2 @ SV106 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
= SV110 )
= $false )
| ( ( leq @ n0 @ SV91 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(867,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV112: $i,SV103: $i,SV108: $i,SV98: $i] :
( ( ( SV98 = SV108 )
= $true )
| ( ( SV103 != SV112 )
= $true )
| ( ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(868,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( ~ ( leq @ n0 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(869,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( ~ ( leq @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) @ SV101 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(870,plain,
! [SV116: $i,SV115: $i,SV114: $i,SV108: $i,SV98: $i,SV112: $i,SV103: $i] :
( ( ( SV103 = SV112 )
= $false )
| ( ( SV98 = SV108 )
= $true )
| ( ( ( a_select3 @ SV114 @ SV108 @ SV112 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(871,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( leq @ n0 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(872,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( leq @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) @ SV101 )
= $true )
| ( ( ~ ( leq @ n0 @ SV91 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(873,plain,
! [SV116: $i,SV103: $i,SV98: $i,SV115: $i,SV112: $i,SV108: $i,SV114: $i] :
( ( ( ( a_select3 @ SV114 @ SV108 @ SV112 )
= SV115 )
= $false )
| ( ( SV98 = SV108 )
= $true )
| ( ( SV103 = SV112 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV114 @ SV98 @ SV103 @ SV116 ) @ SV108 @ SV112 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(874,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( leq @ n0 @ SV91 )
= $false )
| ( ( leq @ n0 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(875,plain,
! [SV101: $i,SV106: $i,SV110: $i,SV91: $i] :
( ( ( leq @ n0 @ SV91 )
= $false )
| ( ( leq @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) @ SV101 )
= $true )
| ( ( ~ ( leq @ SV91 @ SV101 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(876,plain,
! [SV106: $i,SV110: $i,SV101: $i,SV91: $i] :
( ( ( leq @ SV91 @ SV101 )
= $false )
| ( ( leq @ n0 @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) )
= $true )
| ( ( leq @ n0 @ SV91 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(877,plain,
! [SV106: $i,SV110: $i,SV101: $i,SV91: $i] :
( ( ( leq @ SV91 @ SV101 )
= $false )
| ( ( leq @ ( sK4_SY222 @ SV91 @ SV110 @ SV106 @ SV101 ) @ SV101 )
= $true )
| ( ( leq @ n0 @ SV91 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV106 @ SV101 @ SV110 ) @ SV91 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(878,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[706,877,876,873,866,855,853,851,844,838,830,821,790,780,760,757,743,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,720,719,718,717,716,715,714,713,712,711,710,709,708,707]) ).
thf(879,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(880,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(881,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(882,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(883,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(884,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(885,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(886,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(887,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(888,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(889,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(890,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(891,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(892,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(893,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(894,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(895,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(896,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(897,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(898,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(899,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(900,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(901,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(902,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(903,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(904,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(905,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(906,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(907,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(908,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(909,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(910,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(911,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(912,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(913,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(914,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(915,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(916,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(917,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(918,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(919,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(920,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(921,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(922,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(923,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
!= use )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(924,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[904]) ).
thf(925,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[884]) ).
thf(926,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)],[882]) ).
thf(927,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[905]) ).
thf(928,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)],[880]) ).
thf(929,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[903]) ).
thf(930,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)],[900]) ).
thf(931,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[902]) ).
thf(932,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)],[883]) ).
thf(933,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)],[901]) ).
thf(934,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)],[879]) ).
thf(935,plain,
! [SV118: $i] :
( ( ! [SY233: $i,SY234: $i] :
( ( a_select2 @ ( tptp_update2 @ SV118 @ SY233 @ SY234 ) @ SY233 )
= SY234 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(936,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(937,plain,
! [SV119: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n2 ) )
| ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(938,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(939,plain,
! [SV120: $i] :
( ( ! [SY235: $i,SY236: $i,SY237: $i,SY238: $i] :
( ~ ~ ( ~ ( ( SV120 != SY235 ) )
| ( ( a_select2 @ SY236 @ SY235 )
!= SY237 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY236 @ SV120 @ SY238 ) @ SY235 )
= SY237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(940,plain,
! [SV121: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n3 ) )
| ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 )
| ( SV121 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(941,plain,
! [SV122: $i] :
( ( ! [SY239: $i,SY240: $i,SY241: $i,SY242: $i,SY243: $i,SY244: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV122 != SY240 ) )
| ( SY239 != SY241 ) )
| ( ( a_select3 @ SY242 @ SY240 @ SY241 )
!= SY243 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY242 @ SV122 @ SY239 @ SY244 ) @ SY240 @ SY241 )
= SY243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(942,plain,
! [SV123: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV123 )
| ~ ( leq @ SV123 @ n1 ) )
| ( SV123 = n0 )
| ( SV123 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(943,plain,
! [SV124: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n4 ) )
| ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(944,plain,
! [SV125: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV125 )
| ~ ( leq @ SV125 @ n0 ) )
| ( SV125 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(945,plain,
! [SV126: $i] :
( ( ! [SY245: $i,SY246: $i,SY247: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY245 ) )
| ( ( a_select2 @ SY246 @ SX4 )
= SY247 ) )
| ~ ( leq @ n0 @ SV126 ) )
| ~ ( leq @ SV126 @ SY245 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY246 @ SY245 @ SY247 ) @ SV126 )
= SY247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(946,plain,
! [SV127: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV127 )
| ~ ( leq @ SV127 @ n5 ) )
| ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 )
| ( SV127 = n4 )
| ( SV127 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(947,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)],[934]) ).
thf(948,plain,
! [SV129: $i,SV118: $i] :
( ( ! [SY251: $i] :
( ( a_select2 @ ( tptp_update2 @ SV118 @ SV129 @ SY251 ) @ SV129 )
= SY251 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(949,plain,
! [SV119: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n2 ) ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(950,plain,
! [SV130: $i,SV120: $i] :
( ( ! [SY252: $i,SY253: $i,SY254: $i] :
( ~ ~ ( ~ ( ( SV120 != SV130 ) )
| ( ( a_select2 @ SY252 @ SV130 )
!= SY253 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY252 @ SV120 @ SY254 ) @ SV130 )
= SY253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(951,plain,
! [SV121: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n3 ) ) )
= $true )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 )
| ( SV121 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(952,plain,
! [SV131: $i,SV122: $i] :
( ( ! [SY255: $i,SY256: $i,SY257: $i,SY258: $i,SY259: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV122 != SY255 ) )
| ( SV131 != SY256 ) )
| ( ( a_select3 @ SY257 @ SY255 @ SY256 )
!= SY258 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY257 @ SV122 @ SV131 @ SY259 ) @ SY255 @ SY256 )
= SY258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(953,plain,
! [SV123: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV123 )
| ~ ( leq @ SV123 @ n1 ) ) )
= $true )
| ( ( ( SV123 = n0 )
| ( SV123 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(954,plain,
! [SV124: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n4 ) ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(955,plain,
! [SV125: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV125 )
| ~ ( leq @ SV125 @ n0 ) ) )
= $true )
| ( ( SV125 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(956,plain,
! [SV126: $i,SV132: $i] :
( ( ! [SY260: $i,SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY262: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY262 )
| ~ ( leq @ SY262 @ SV132 ) )
| ( ( a_select2 @ SY260 @ SY262 )
= SY261 ) )
| ~ ( leq @ n0 @ SV126 ) )
| ~ ( leq @ SV126 @ SV132 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY260 @ SV132 @ SY261 ) @ SV126 )
= SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(957,plain,
! [SV127: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV127 )
| ~ ( leq @ SV127 @ n5 ) ) )
= $true )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 )
| ( SV127 = n4 )
| ( SV127 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(958,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)],[947]) ).
thf(959,plain,
! [SV134: $i,SV129: $i,SV118: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV118 @ SV129 @ SV134 ) @ SV129 )
= SV134 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(960,plain,
! [SV119: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n2 ) ) )
= $false )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(961,plain,
! [SV135: $i,SV130: $i,SV120: $i] :
( ( ! [SY264: $i,SY265: $i] :
( ~ ~ ( ~ ( ( SV120 != SV130 ) )
| ( ( a_select2 @ SV135 @ SV130 )
!= SY264 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SY265 ) @ SV130 )
= SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(962,plain,
! [SV121: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n3 ) ) )
= $false )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 )
| ( SV121 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(963,plain,
! [SV131: $i,SV136: $i,SV122: $i] :
( ( ! [SY266: $i,SY267: $i,SY268: $i,SY269: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SY266 ) )
| ( ( a_select3 @ SY267 @ SV136 @ SY266 )
!= SY268 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY267 @ SV122 @ SV131 @ SY269 ) @ SV136 @ SY266 )
= SY268 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(964,plain,
! [SV123: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV123 )
| ~ ( leq @ SV123 @ n1 ) ) )
= $false )
| ( ( ( SV123 = n0 )
| ( SV123 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(965,plain,
! [SV124: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n4 ) ) )
= $false )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(966,plain,
! [SV125: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV125 )
| ~ ( leq @ SV125 @ n0 ) ) )
= $false )
| ( ( SV125 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(967,plain,
! [SV126: $i,SV137: $i,SV132: $i] :
( ( ! [SY270: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY271: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY271 )
| ~ ( leq @ SY271 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY271 )
= SY270 ) )
| ~ ( leq @ n0 @ SV126 ) )
| ~ ( leq @ SV126 @ SV132 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SY270 ) @ SV126 )
= SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(968,plain,
! [SV127: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV127 )
| ~ ( leq @ SV127 @ n5 ) ) )
= $false )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 )
| ( SV127 = n4 )
| ( SV127 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(969,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)],[958]) ).
thf(970,plain,
! [SV119: $i] :
( ( ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n2 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(971,plain,
! [SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ! [SY272: $i] :
( ~ ~ ( ~ ( ( SV120 != SV130 ) )
| ( ( a_select2 @ SV135 @ SV130 )
!= SV139 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SY272 ) @ SV130 )
= SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(972,plain,
! [SV121: $i] :
( ( ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n3 ) )
= $true )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 )
| ( SV121 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(973,plain,
! [SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ! [SY273: $i,SY274: $i,SY275: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) )
| ( ( a_select3 @ SY273 @ SV136 @ SV140 )
!= SY274 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY273 @ SV122 @ SV131 @ SY275 ) @ SV136 @ SV140 )
= SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(974,plain,
! [SV123: $i] :
( ( ( ~ ( leq @ n0 @ SV123 )
| ~ ( leq @ SV123 @ n1 ) )
= $true )
| ( ( ( SV123 = n0 )
| ( SV123 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(975,plain,
! [SV124: $i] :
( ( ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n4 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(976,plain,
! [SV125: $i] :
( ( ( ~ ( leq @ n0 @ SV125 )
| ~ ( leq @ SV125 @ n0 ) )
= $true )
| ( ( SV125 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(977,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) )
| ~ ( leq @ n0 @ SV126 ) )
| ~ ( leq @ SV126 @ SV132 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(978,plain,
! [SV127: $i] :
( ( ( ~ ( leq @ n0 @ SV127 )
| ~ ( leq @ SV127 @ n5 ) )
= $true )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 )
| ( SV127 = n4 )
| ( SV127 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(979,plain,
! [SV119: $i] :
( ( ( ~ ( leq @ n0 @ SV119 ) )
= $true )
| ( ( ~ ( leq @ SV119 @ n2 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(980,plain,
! [SV142: $i,SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ~ ~ ( ~ ( ( SV120 != SV130 ) )
| ( ( a_select2 @ SV135 @ SV130 )
!= SV139 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SV142 ) @ SV130 )
= SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(981,plain,
! [SV121: $i] :
( ( ( ~ ( leq @ n0 @ SV121 ) )
= $true )
| ( ( ~ ( leq @ SV121 @ n3 ) )
= $true )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 )
| ( SV121 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(982,plain,
! [SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ! [SY277: $i,SY278: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) )
| ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SY277 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SY278 ) @ SV136 @ SV140 )
= SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(983,plain,
! [SV123: $i] :
( ( ( ~ ( leq @ n0 @ SV123 ) )
= $true )
| ( ( ~ ( leq @ SV123 @ n1 ) )
= $true )
| ( ( ( SV123 = n0 )
| ( SV123 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(984,plain,
! [SV124: $i] :
( ( ( ~ ( leq @ n0 @ SV124 ) )
= $true )
| ( ( ~ ( leq @ SV124 @ n4 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(985,plain,
! [SV125: $i] :
( ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ n0 ) )
= $true )
| ( ( SV125 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(986,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) )
| ~ ( leq @ n0 @ SV126 ) )
| ~ ( leq @ SV126 @ SV132 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(987,plain,
! [SV127: $i] :
( ( ( ~ ( leq @ n0 @ SV127 ) )
= $true )
| ( ( ~ ( leq @ SV127 @ n5 ) )
= $true )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 )
| ( SV127 = n4 )
| ( SV127 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(988,plain,
! [SV119: $i] :
( ( ( leq @ n0 @ SV119 )
= $false )
| ( ( ~ ( leq @ SV119 @ n2 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(989,plain,
! [SV142: $i,SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ( ~ ~ ( ~ ( ( SV120 != SV130 ) )
| ( ( a_select2 @ SV135 @ SV130 )
!= SV139 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SV142 ) @ SV130 )
= SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(990,plain,
! [SV121: $i] :
( ( ( leq @ n0 @ SV121 )
= $false )
| ( ( ~ ( leq @ SV121 @ n3 ) )
= $true )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 )
| ( SV121 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(991,plain,
! [SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ! [SY279: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) )
| ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SY279 ) @ SV136 @ SV140 )
= SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(992,plain,
! [SV123: $i] :
( ( ( leq @ n0 @ SV123 )
= $false )
| ( ( ~ ( leq @ SV123 @ n1 ) )
= $true )
| ( ( ( SV123 = n0 )
| ( SV123 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(993,plain,
! [SV124: $i] :
( ( ( leq @ n0 @ SV124 )
= $false )
| ( ( ~ ( leq @ SV124 @ n4 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(994,plain,
! [SV125: $i] :
( ( ( leq @ n0 @ SV125 )
= $false )
| ( ( ~ ( leq @ SV125 @ n0 ) )
= $true )
| ( ( SV125 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(995,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) )
| ~ ( leq @ n0 @ SV126 ) )
| ~ ( leq @ SV126 @ SV132 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(996,plain,
! [SV127: $i] :
( ( ( leq @ n0 @ SV127 )
= $false )
| ( ( ~ ( leq @ SV127 @ n5 ) )
= $true )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 )
| ( SV127 = n4 )
| ( SV127 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(997,plain,
! [SV119: $i] :
( ( ( leq @ SV119 @ n2 )
= $false )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(998,plain,
! [SV142: $i,SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ( ~ ( ~ ( ( SV120 != SV130 ) )
| ( ( a_select2 @ SV135 @ SV130 )
!= SV139 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SV142 ) @ SV130 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(999,plain,
! [SV121: $i] :
( ( ( leq @ SV121 @ n3 )
= $false )
| ( ( leq @ n0 @ SV121 )
= $false )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 )
| ( SV121 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1000,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) )
| ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1001,plain,
! [SV123: $i] :
( ( ( leq @ SV123 @ n1 )
= $false )
| ( ( leq @ n0 @ SV123 )
= $false )
| ( ( ( SV123 = n0 )
| ( SV123 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1002,plain,
! [SV124: $i] :
( ( ( leq @ SV124 @ n4 )
= $false )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 )
| ( SV124 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1003,plain,
! [SV125: $i] :
( ( ( leq @ SV125 @ n0 )
= $false )
| ( ( leq @ n0 @ SV125 )
= $false )
| ( ( SV125 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1004,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) )
| ~ ( leq @ n0 @ SV126 ) )
| ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1005,plain,
! [SV127: $i] :
( ( ( leq @ SV127 @ n5 )
= $false )
| ( ( leq @ n0 @ SV127 )
= $false )
| ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 )
| ( SV127 = n4 )
| ( SV127 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1006,plain,
! [SV119: $i] :
( ( ( ( SV119 = n0 )
| ( SV119 = n1 ) )
= $true )
| ( ( SV119 = n2 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[997]) ).
thf(1007,plain,
! [SV142: $i,SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ( ~ ( ( SV120 != SV130 ) )
| ( ( a_select2 @ SV135 @ SV130 )
!= SV139 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SV142 ) @ SV130 )
= SV139 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1008,plain,
! [SV121: $i] :
( ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 ) )
= $true )
| ( ( SV121 = n3 )
= $true )
| ( ( leq @ n0 @ SV121 )
= $false )
| ( ( leq @ SV121 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1009,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) )
| ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1010,plain,
! [SV123: $i] :
( ( ( SV123 = n0 )
= $true )
| ( ( SV123 = n1 )
= $true )
| ( ( leq @ n0 @ SV123 )
= $false )
| ( ( leq @ SV123 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1011,plain,
! [SV124: $i] :
( ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 )
| ( SV124 = n3 ) )
= $true )
| ( ( SV124 = n4 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1012,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) )
| ~ ( leq @ n0 @ SV126 ) ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1013,plain,
! [SV127: $i] :
( ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 )
| ( SV127 = n4 ) )
= $true )
| ( ( SV127 = n5 )
= $true )
| ( ( leq @ n0 @ SV127 )
= $false )
| ( ( leq @ SV127 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1014,plain,
! [SV119: $i] :
( ( ( SV119 = n0 )
= $true )
| ( ( SV119 = n1 )
= $true )
| ( ( SV119 = n2 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1015,plain,
! [SV142: $i,SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ( ~ ( ( SV120 != SV130 ) ) )
= $true )
| ( ( ( a_select2 @ SV135 @ SV130 )
!= SV139 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SV142 ) @ SV130 )
= SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1016,plain,
! [SV121: $i] :
( ( ( ( SV121 = n0 )
| ( SV121 = n1 ) )
= $true )
| ( ( SV121 = n2 )
= $true )
| ( ( SV121 = n3 )
= $true )
| ( ( leq @ n0 @ SV121 )
= $false )
| ( ( leq @ SV121 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1017,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) )
| ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1018,plain,
! [SV124: $i] :
( ( ( ( SV124 = n0 )
| ( SV124 = n1 )
| ( SV124 = n2 ) )
= $true )
| ( ( SV124 = n3 )
= $true )
| ( ( SV124 = n4 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1019,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ( ~ ( ~ ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) )
| ~ ( leq @ n0 @ SV126 ) ) )
= $false )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1020,plain,
! [SV127: $i] :
( ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 )
| ( SV127 = n3 ) )
= $true )
| ( ( SV127 = n4 )
= $true )
| ( ( SV127 = n5 )
= $true )
| ( ( leq @ n0 @ SV127 )
= $false )
| ( ( leq @ SV127 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1021,plain,
! [SV142: $i,SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ( SV120 != SV130 )
= $false )
| ( ( ( a_select2 @ SV135 @ SV130 )
!= SV139 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SV142 ) @ SV130 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1022,plain,
! [SV121: $i] :
( ( ( SV121 = n0 )
= $true )
| ( ( SV121 = n1 )
= $true )
| ( ( SV121 = n2 )
= $true )
| ( ( SV121 = n3 )
= $true )
| ( ( leq @ n0 @ SV121 )
= $false )
| ( ( leq @ SV121 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1023,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) )
| ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1024,plain,
! [SV124: $i] :
( ( ( ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true )
| ( ( SV124 = n2 )
= $true )
| ( ( SV124 = n3 )
= $true )
| ( ( SV124 = n4 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1025,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ( ~ ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) )
| ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1026,plain,
! [SV127: $i] :
( ( ( ( SV127 = n0 )
| ( SV127 = n1 )
| ( SV127 = n2 ) )
= $true )
| ( ( SV127 = n3 )
= $true )
| ( ( SV127 = n4 )
= $true )
| ( ( SV127 = n5 )
= $true )
| ( ( leq @ n0 @ SV127 )
= $false )
| ( ( leq @ SV127 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1027,plain,
! [SV142: $i,SV139: $i,SV135: $i,SV130: $i,SV120: $i] :
( ( ( SV120 = SV130 )
= $true )
| ( ( ( a_select2 @ SV135 @ SV130 )
!= SV139 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SV142 ) @ SV130 )
= SV139 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1028,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) ) )
= $true )
| ( ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1029,plain,
! [SV124: $i] :
( ( ( SV124 = n0 )
= $true )
| ( ( SV124 = n1 )
= $true )
| ( ( SV124 = n2 )
= $true )
| ( ( SV124 = n3 )
= $true )
| ( ( SV124 = n4 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1030,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ( ~ ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1031,plain,
! [SV127: $i] :
( ( ( ( SV127 = n0 )
| ( SV127 = n1 ) )
= $true )
| ( ( SV127 = n2 )
= $true )
| ( ( SV127 = n3 )
= $true )
| ( ( SV127 = n4 )
= $true )
| ( ( SV127 = n5 )
= $true )
| ( ( leq @ n0 @ SV127 )
= $false )
| ( ( leq @ SV127 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1032,plain,
! [SV142: $i,SV120: $i,SV139: $i,SV130: $i,SV135: $i] :
( ( ( ( a_select2 @ SV135 @ SV130 )
= SV139 )
= $false )
| ( ( SV120 = SV130 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV135 @ SV120 @ SV142 ) @ SV130 )
= SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1033,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( ~ ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) ) )
= $false )
| ( ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1034,plain,
! [SV126: $i,SV141: $i,SV137: $i,SV132: $i] :
( ( ( ! [SY276: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY276 )
| ~ ( leq @ SY276 @ SV132 ) )
| ( ( a_select2 @ SV137 @ SY276 )
= SV141 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1035,plain,
! [SV127: $i] :
( ( ( SV127 = n0 )
= $true )
| ( ( SV127 = n1 )
= $true )
| ( ( SV127 = n2 )
= $true )
| ( ( SV127 = n3 )
= $true )
| ( ( SV127 = n4 )
= $true )
| ( ( SV127 = n5 )
= $true )
| ( ( leq @ n0 @ SV127 )
= $false )
| ( ( leq @ SV127 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1036,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( ~ ( ( SV122 != SV136 ) )
| ( SV131 != SV140 ) )
= $true )
| ( ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1037,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
| ~ ( leq @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) @ SV132 ) )
| ( ( a_select2 @ SV137 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
= SV141 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1034]) ).
thf(1038,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( ~ ( ( SV122 != SV136 ) ) )
= $true )
| ( ( SV131 != SV140 )
= $true )
| ( ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1039,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
| ~ ( leq @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) @ SV132 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1040,plain,
! [SV132: $i,SV141: $i,SV126: $i,SV137: $i] :
( ( ( ( a_select2 @ SV137 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
= SV141 )
= $false )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1041,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( SV122 != SV136 )
= $false )
| ( ( SV131 != SV140 )
= $true )
| ( ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1042,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
| ~ ( leq @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) @ SV132 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1039]) ).
thf(1043,plain,
! [SV132: $i,SV141: $i,SV137: $i,SV126: $i] :
( ( ( leq @ n0 @ SV126 )
= $false )
| ( ( ( a_select2 @ SV137 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
= SV141 )
= $false )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1044,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV140: $i,SV131: $i,SV136: $i,SV122: $i] :
( ( ( SV122 = SV136 )
= $true )
| ( ( SV131 != SV140 )
= $true )
| ( ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1045,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( ~ ( leq @ n0 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
| ~ ( leq @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) @ SV132 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1046,plain,
! [SV141: $i,SV137: $i,SV132: $i,SV126: $i] :
( ( ( leq @ SV126 @ SV132 )
= $false )
| ( ( ( a_select2 @ SV137 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
= SV141 )
= $false )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1047,plain,
! [SV145: $i,SV144: $i,SV143: $i,SV136: $i,SV122: $i,SV140: $i,SV131: $i] :
( ( ( SV131 = SV140 )
= $false )
| ( ( SV122 = SV136 )
= $true )
| ( ( ( a_select3 @ SV143 @ SV136 @ SV140 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1048,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( ~ ( leq @ n0 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1049,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( ~ ( leq @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) @ SV132 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1050,plain,
! [SV145: $i,SV131: $i,SV122: $i,SV144: $i,SV140: $i,SV136: $i,SV143: $i] :
( ( ( ( a_select3 @ SV143 @ SV136 @ SV140 )
= SV144 )
= $false )
| ( ( SV122 = SV136 )
= $true )
| ( ( SV131 = SV140 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV143 @ SV122 @ SV131 @ SV145 ) @ SV136 @ SV140 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1051,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( leq @ n0 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1052,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( leq @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) @ SV132 )
= $true )
| ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1053,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( leq @ n0 @ SV126 )
= $false )
| ( ( leq @ n0 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1054,plain,
! [SV132: $i,SV137: $i,SV141: $i,SV126: $i] :
( ( ( leq @ n0 @ SV126 )
= $false )
| ( ( leq @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) @ SV132 )
= $true )
| ( ( ~ ( leq @ SV126 @ SV132 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1055,plain,
! [SV137: $i,SV141: $i,SV132: $i,SV126: $i] :
( ( ( leq @ SV126 @ SV132 )
= $false )
| ( ( leq @ n0 @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) )
= $true )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1056,plain,
! [SV137: $i,SV141: $i,SV132: $i,SV126: $i] :
( ( ( leq @ SV126 @ SV132 )
= $false )
| ( ( leq @ ( sK5_SY276 @ SV126 @ SV141 @ SV137 @ SV132 ) @ SV132 )
= $true )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV132 @ SV141 ) @ SV126 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1057,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[885,1056,1055,1050,1046,1035,1032,1029,1022,1014,1010,1003,969,959,938,936,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,899,898,897,896,895,894,893,892,891,890,889,888,887,886]) ).
thf(1058,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(1059,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(1060,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1061,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(1062,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(1063,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1064,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1065,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1066,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1067,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1068,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1069,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1070,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1071,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1072,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1073,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1074,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1075,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1076,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1077,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1078,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1079,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(1080,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(1081,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1082,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1083,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1084,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1085,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1086,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1087,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1088,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1089,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1090,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1091,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1092,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1093,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1094,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1095,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1096,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1097,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1098,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1099,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1100,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1101,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1102,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
!= use )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(1103,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)],[1079]) ).
thf(1104,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)],[1080]) ).
thf(1105,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)],[1061]) ).
thf(1106,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1063]) ).
thf(1107,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1081]) ).
thf(1108,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)],[1059]) ).
thf(1109,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1082]) ).
thf(1110,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1083]) ).
thf(1111,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1084]) ).
thf(1112,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)],[1062]) ).
thf(1113,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)],[1058]) ).
thf(1114,plain,
! [SV147: $i] :
( ( ! [SY283: $i,SY284: $i] :
( ( a_select2 @ ( tptp_update2 @ SV147 @ SY283 @ SY284 ) @ SY283 )
= SY284 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1060]) ).
thf(1115,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1116,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)],[1103]) ).
thf(1117,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n5 ) )
| ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 )
| ( SV149 = n4 )
| ( SV149 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1118,plain,
! [SV150: $i] :
( ( ! [SY285: $i,SY286: $i,SY287: $i,SY288: $i] :
( ~ ~ ( ~ ( ( SV150 != SY285 ) )
| ( ( a_select2 @ SY286 @ SY285 )
!= SY287 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY286 @ SV150 @ SY288 ) @ SY285 )
= SY287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1119,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1120,plain,
! [SV151: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n0 ) )
| ( SV151 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1121,plain,
! [SV152: $i] :
( ( ! [SY289: $i,SY290: $i,SY291: $i,SY292: $i,SY293: $i,SY294: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV152 != SY290 ) )
| ( SY289 != SY291 ) )
| ( ( a_select3 @ SY292 @ SY290 @ SY291 )
!= SY293 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY292 @ SV152 @ SY289 @ SY294 ) @ SY290 @ SY291 )
= SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1122,plain,
! [SV153: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV153 )
| ~ ( leq @ SV153 @ n1 ) )
| ( SV153 = n0 )
| ( SV153 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1123,plain,
! [SV154: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n2 ) )
| ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1124,plain,
! [SV155: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV155 )
| ~ ( leq @ SV155 @ n3 ) )
| ( SV155 = n0 )
| ( SV155 = n1 )
| ( SV155 = n2 )
| ( SV155 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1125,plain,
! [SV156: $i] :
( ( ! [SY295: $i,SY296: $i,SY297: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY295 ) )
| ( ( a_select2 @ SY296 @ SX4 )
= SY297 ) )
| ~ ( leq @ n0 @ SV156 ) )
| ~ ( leq @ SV156 @ SY295 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY296 @ SY295 @ SY297 ) @ SV156 )
= SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1126,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)],[1113]) ).
thf(1127,plain,
! [SV158: $i,SV147: $i] :
( ( ! [SY301: $i] :
( ( a_select2 @ ( tptp_update2 @ SV147 @ SV158 @ SY301 ) @ SV158 )
= SY301 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1128,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)],[1116]) ).
thf(1129,plain,
! [SV149: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n5 ) ) )
= $true )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 )
| ( SV149 = n4 )
| ( SV149 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1130,plain,
! [SV159: $i,SV150: $i] :
( ( ! [SY302: $i,SY303: $i,SY304: $i] :
( ~ ~ ( ~ ( ( SV150 != SV159 ) )
| ( ( a_select2 @ SY302 @ SV159 )
!= SY303 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY302 @ SV150 @ SY304 ) @ SV159 )
= SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1131,plain,
! [SV151: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n0 ) ) )
= $true )
| ( ( SV151 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1132,plain,
! [SV160: $i,SV152: $i] :
( ( ! [SY305: $i,SY306: $i,SY307: $i,SY308: $i,SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV152 != SY305 ) )
| ( SV160 != SY306 ) )
| ( ( a_select3 @ SY307 @ SY305 @ SY306 )
!= SY308 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY307 @ SV152 @ SV160 @ SY309 ) @ SY305 @ SY306 )
= SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1133,plain,
! [SV153: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV153 )
| ~ ( leq @ SV153 @ n1 ) ) )
= $true )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1134,plain,
! [SV154: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n2 ) ) )
= $true )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1135,plain,
! [SV155: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV155 )
| ~ ( leq @ SV155 @ n3 ) ) )
= $true )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 )
| ( SV155 = n2 )
| ( SV155 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1136,plain,
! [SV156: $i,SV161: $i] :
( ( ! [SY310: $i,SY311: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY312: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY312 )
| ~ ( leq @ SY312 @ SV161 ) )
| ( ( a_select2 @ SY310 @ SY312 )
= SY311 ) )
| ~ ( leq @ n0 @ SV156 ) )
| ~ ( leq @ SV156 @ SV161 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY310 @ SV161 @ SY311 ) @ SV156 )
= SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1137,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)],[1126]) ).
thf(1138,plain,
! [SV163: $i,SV158: $i,SV147: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV147 @ SV158 @ SV163 ) @ SV158 )
= SV163 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1139,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)],[1128]) ).
thf(1140,plain,
! [SV149: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n5 ) ) )
= $false )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 )
| ( SV149 = n4 )
| ( SV149 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1141,plain,
! [SV164: $i,SV159: $i,SV150: $i] :
( ( ! [SY314: $i,SY315: $i] :
( ~ ~ ( ~ ( ( SV150 != SV159 ) )
| ( ( a_select2 @ SV164 @ SV159 )
!= SY314 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SY315 ) @ SV159 )
= SY314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1130]) ).
thf(1142,plain,
! [SV151: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n0 ) ) )
= $false )
| ( ( SV151 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1143,plain,
! [SV160: $i,SV165: $i,SV152: $i] :
( ( ! [SY316: $i,SY317: $i,SY318: $i,SY319: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SY316 ) )
| ( ( a_select3 @ SY317 @ SV165 @ SY316 )
!= SY318 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY317 @ SV152 @ SV160 @ SY319 ) @ SV165 @ SY316 )
= SY318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1132]) ).
thf(1144,plain,
! [SV153: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV153 )
| ~ ( leq @ SV153 @ n1 ) ) )
= $false )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1145,plain,
! [SV154: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n2 ) ) )
= $false )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1146,plain,
! [SV155: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV155 )
| ~ ( leq @ SV155 @ n3 ) ) )
= $false )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 )
| ( SV155 = n2 )
| ( SV155 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1147,plain,
! [SV156: $i,SV166: $i,SV161: $i] :
( ( ! [SY320: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY321: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY321 )
| ~ ( leq @ SY321 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY321 )
= SY320 ) )
| ~ ( leq @ n0 @ SV156 ) )
| ~ ( leq @ SV156 @ SV161 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SY320 ) @ SV156 )
= SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1148,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)],[1137]) ).
thf(1149,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)],[1139]) ).
thf(1150,plain,
! [SV149: $i] :
( ( ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n5 ) )
= $true )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 )
| ( SV149 = n4 )
| ( SV149 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1140]) ).
thf(1151,plain,
! [SV168: $i,SV164: $i,SV159: $i,SV150: $i] :
( ( ! [SY322: $i] :
( ~ ~ ( ~ ( ( SV150 != SV159 ) )
| ( ( a_select2 @ SV164 @ SV159 )
!= SV168 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SY322 ) @ SV159 )
= SV168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1152,plain,
! [SV151: $i] :
( ( ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n0 ) )
= $true )
| ( ( SV151 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1153,plain,
! [SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ! [SY323: $i,SY324: $i,SY325: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SY323 @ SV165 @ SV169 )
!= SY324 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY323 @ SV152 @ SV160 @ SY325 ) @ SV165 @ SV169 )
= SY324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1154,plain,
! [SV153: $i] :
( ( ( ~ ( leq @ n0 @ SV153 )
| ~ ( leq @ SV153 @ n1 ) )
= $true )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1155,plain,
! [SV154: $i] :
( ( ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n2 ) )
= $true )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1156,plain,
! [SV155: $i] :
( ( ( ~ ( leq @ n0 @ SV155 )
| ~ ( leq @ SV155 @ n3 ) )
= $true )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 )
| ( SV155 = n2 )
| ( SV155 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1157,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) )
| ~ ( leq @ n0 @ SV156 ) )
| ~ ( leq @ SV156 @ SV161 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1158,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)],[1149]) ).
thf(1159,plain,
! [SV149: $i] :
( ( ( ~ ( leq @ n0 @ SV149 ) )
= $true )
| ( ( ~ ( leq @ SV149 @ n5 ) )
= $true )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 )
| ( SV149 = n4 )
| ( SV149 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1160,plain,
! [SV171: $i,SV168: $i,SV164: $i,SV159: $i,SV150: $i] :
( ( ~ ~ ( ~ ( ( SV150 != SV159 ) )
| ( ( a_select2 @ SV164 @ SV159 )
!= SV168 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SV171 ) @ SV159 )
= SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1161,plain,
! [SV151: $i] :
( ( ( ~ ( leq @ n0 @ SV151 ) )
= $true )
| ( ( ~ ( leq @ SV151 @ n0 ) )
= $true )
| ( ( SV151 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1162,plain,
! [SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ! [SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SY327 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SY328 ) @ SV165 @ SV169 )
= SY327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1163,plain,
! [SV153: $i] :
( ( ( ~ ( leq @ n0 @ SV153 ) )
= $true )
| ( ( ~ ( leq @ SV153 @ n1 ) )
= $true )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1164,plain,
! [SV154: $i] :
( ( ( ~ ( leq @ n0 @ SV154 ) )
= $true )
| ( ( ~ ( leq @ SV154 @ n2 ) )
= $true )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1155]) ).
thf(1165,plain,
! [SV155: $i] :
( ( ( ~ ( leq @ n0 @ SV155 ) )
= $true )
| ( ( ~ ( leq @ SV155 @ n3 ) )
= $true )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 )
| ( SV155 = n2 )
| ( SV155 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1166,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) )
| ~ ( leq @ n0 @ SV156 ) )
| ~ ( leq @ SV156 @ SV161 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1167,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)],[1158]) ).
thf(1168,plain,
! [SV149: $i] :
( ( ( leq @ n0 @ SV149 )
= $false )
| ( ( ~ ( leq @ SV149 @ n5 ) )
= $true )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 )
| ( SV149 = n4 )
| ( SV149 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1169,plain,
! [SV171: $i,SV168: $i,SV164: $i,SV159: $i,SV150: $i] :
( ( ( ~ ~ ( ~ ( ( SV150 != SV159 ) )
| ( ( a_select2 @ SV164 @ SV159 )
!= SV168 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SV171 ) @ SV159 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1160]) ).
thf(1170,plain,
! [SV151: $i] :
( ( ( leq @ n0 @ SV151 )
= $false )
| ( ( ~ ( leq @ SV151 @ n0 ) )
= $true )
| ( ( SV151 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1171,plain,
! [SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ! [SY329: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SY329 ) @ SV165 @ SV169 )
= SV173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1172,plain,
! [SV153: $i] :
( ( ( leq @ n0 @ SV153 )
= $false )
| ( ( ~ ( leq @ SV153 @ n1 ) )
= $true )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1173,plain,
! [SV154: $i] :
( ( ( leq @ n0 @ SV154 )
= $false )
| ( ( ~ ( leq @ SV154 @ n2 ) )
= $true )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1174,plain,
! [SV155: $i] :
( ( ( leq @ n0 @ SV155 )
= $false )
| ( ( ~ ( leq @ SV155 @ n3 ) )
= $true )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 )
| ( SV155 = n2 )
| ( SV155 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1175,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) )
| ~ ( leq @ n0 @ SV156 ) )
| ~ ( leq @ SV156 @ SV161 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1176,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)],[1167]) ).
thf(1177,plain,
! [SV149: $i] :
( ( ( leq @ SV149 @ n5 )
= $false )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 )
| ( SV149 = n4 )
| ( SV149 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1178,plain,
! [SV171: $i,SV168: $i,SV164: $i,SV159: $i,SV150: $i] :
( ( ( ~ ( ~ ( ( SV150 != SV159 ) )
| ( ( a_select2 @ SV164 @ SV159 )
!= SV168 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SV171 ) @ SV159 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1179,plain,
! [SV151: $i] :
( ( ( leq @ SV151 @ n0 )
= $false )
| ( ( leq @ n0 @ SV151 )
= $false )
| ( ( SV151 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1180,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1181,plain,
! [SV153: $i] :
( ( ( leq @ SV153 @ n1 )
= $false )
| ( ( leq @ n0 @ SV153 )
= $false )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1182,plain,
! [SV154: $i] :
( ( ( leq @ SV154 @ n2 )
= $false )
| ( ( leq @ n0 @ SV154 )
= $false )
| ( ( ( SV154 = n0 )
| ( SV154 = n1 )
| ( SV154 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1183,plain,
! [SV155: $i] :
( ( ( leq @ SV155 @ n3 )
= $false )
| ( ( leq @ n0 @ SV155 )
= $false )
| ( ( ( SV155 = n0 )
| ( SV155 = n1 )
| ( SV155 = n2 )
| ( SV155 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1184,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ( ~ ~ ( ~ ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) )
| ~ ( leq @ n0 @ SV156 ) )
| ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1185,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)],[1176]) ).
thf(1186,plain,
! [SV149: $i] :
( ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 )
| ( SV149 = n4 ) )
= $true )
| ( ( SV149 = n5 )
= $true )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( leq @ SV149 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1187,plain,
! [SV171: $i,SV168: $i,SV164: $i,SV159: $i,SV150: $i] :
( ( ( ~ ( ( SV150 != SV159 ) )
| ( ( a_select2 @ SV164 @ SV159 )
!= SV168 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SV171 ) @ SV159 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1188,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1189,plain,
! [SV153: $i] :
( ( ( SV153 = n0 )
= $true )
| ( ( SV153 = n1 )
= $true )
| ( ( leq @ n0 @ SV153 )
= $false )
| ( ( leq @ SV153 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1190,plain,
! [SV154: $i] :
( ( ( ( SV154 = n0 )
| ( SV154 = n1 ) )
= $true )
| ( ( SV154 = n2 )
= $true )
| ( ( leq @ n0 @ SV154 )
= $false )
| ( ( leq @ SV154 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1191,plain,
! [SV155: $i] :
( ( ( ( SV155 = n0 )
| ( SV155 = n1 )
| ( SV155 = n2 ) )
= $true )
| ( ( SV155 = n3 )
= $true )
| ( ( leq @ n0 @ SV155 )
= $false )
| ( ( leq @ SV155 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1183]) ).
thf(1192,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ( ~ ~ ( ~ ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) )
| ~ ( leq @ n0 @ SV156 ) ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1184]) ).
thf(1193,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)],[1185]) ).
thf(1194,plain,
! [SV149: $i] :
( ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 )
| ( SV149 = n3 ) )
= $true )
| ( ( SV149 = n4 )
= $true )
| ( ( SV149 = n5 )
= $true )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( leq @ SV149 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1195,plain,
! [SV171: $i,SV168: $i,SV164: $i,SV159: $i,SV150: $i] :
( ( ( ~ ( ( SV150 != SV159 ) ) )
= $true )
| ( ( ( a_select2 @ SV164 @ SV159 )
!= SV168 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SV171 ) @ SV159 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1196,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1197,plain,
! [SV154: $i] :
( ( ( SV154 = n0 )
= $true )
| ( ( SV154 = n1 )
= $true )
| ( ( SV154 = n2 )
= $true )
| ( ( leq @ n0 @ SV154 )
= $false )
| ( ( leq @ SV154 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1198,plain,
! [SV155: $i] :
( ( ( ( SV155 = n0 )
| ( SV155 = n1 ) )
= $true )
| ( ( SV155 = n2 )
= $true )
| ( ( SV155 = n3 )
= $true )
| ( ( leq @ n0 @ SV155 )
= $false )
| ( ( leq @ SV155 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1199,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ( ~ ( ~ ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) )
| ~ ( leq @ n0 @ SV156 ) ) )
= $false )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1200,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)],[1193]) ).
thf(1201,plain,
! [SV149: $i] :
( ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 ) )
= $true )
| ( ( SV149 = n3 )
= $true )
| ( ( SV149 = n4 )
= $true )
| ( ( SV149 = n5 )
= $true )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( leq @ SV149 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1194]) ).
thf(1202,plain,
! [SV171: $i,SV168: $i,SV164: $i,SV159: $i,SV150: $i] :
( ( ( SV150 != SV159 )
= $false )
| ( ( ( a_select2 @ SV164 @ SV159 )
!= SV168 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SV171 ) @ SV159 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1203,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1196]) ).
thf(1204,plain,
! [SV155: $i] :
( ( ( SV155 = n0 )
= $true )
| ( ( SV155 = n1 )
= $true )
| ( ( SV155 = n2 )
= $true )
| ( ( SV155 = n3 )
= $true )
| ( ( leq @ n0 @ SV155 )
= $false )
| ( ( leq @ SV155 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1205,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ( ~ ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) )
| ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1206,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)],[1200]) ).
thf(1207,plain,
! [SV149: $i] :
( ( ( ( SV149 = n0 )
| ( SV149 = n1 ) )
= $true )
| ( ( SV149 = n2 )
= $true )
| ( ( SV149 = n3 )
= $true )
| ( ( SV149 = n4 )
= $true )
| ( ( SV149 = n5 )
= $true )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( leq @ SV149 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1201]) ).
thf(1208,plain,
! [SV171: $i,SV168: $i,SV164: $i,SV159: $i,SV150: $i] :
( ( ( SV150 = SV159 )
= $true )
| ( ( ( a_select2 @ SV164 @ SV159 )
!= SV168 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SV171 ) @ SV159 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1209,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( ~ ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) ) )
= $true )
| ( ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1210,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ( ~ ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1211,plain,
! [SV149: $i] :
( ( ( SV149 = n0 )
= $true )
| ( ( SV149 = n1 )
= $true )
| ( ( SV149 = n2 )
= $true )
| ( ( SV149 = n3 )
= $true )
| ( ( SV149 = n4 )
= $true )
| ( ( SV149 = n5 )
= $true )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( leq @ SV149 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1207]) ).
thf(1212,plain,
! [SV171: $i,SV150: $i,SV168: $i,SV159: $i,SV164: $i] :
( ( ( ( a_select2 @ SV164 @ SV159 )
= SV168 )
= $false )
| ( ( SV150 = SV159 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV150 @ SV171 ) @ SV159 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1213,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( ~ ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) ) )
= $false )
| ( ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1214,plain,
! [SV156: $i,SV170: $i,SV166: $i,SV161: $i] :
( ( ( ! [SY326: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY326 )
| ~ ( leq @ SY326 @ SV161 ) )
| ( ( a_select2 @ SV166 @ SY326 )
= SV170 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1215,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( ~ ( ( SV152 != SV165 ) )
| ( SV160 != SV169 ) )
= $true )
| ( ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1216,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
| ~ ( leq @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) @ SV161 ) )
| ( ( a_select2 @ SV166 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
= SV170 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1214]) ).
thf(1217,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( ~ ( ( SV152 != SV165 ) ) )
= $true )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1218,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
| ~ ( leq @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) @ SV161 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1219,plain,
! [SV161: $i,SV170: $i,SV156: $i,SV166: $i] :
( ( ( ( a_select2 @ SV166 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
= SV170 )
= $false )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1220,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( SV152 != SV165 )
= $false )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1221,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
| ~ ( leq @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) @ SV161 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1222,plain,
! [SV161: $i,SV170: $i,SV166: $i,SV156: $i] :
( ( ( leq @ n0 @ SV156 )
= $false )
| ( ( ( a_select2 @ SV166 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
= SV170 )
= $false )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1223,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV169: $i,SV160: $i,SV165: $i,SV152: $i] :
( ( ( SV152 = SV165 )
= $true )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1220]) ).
thf(1224,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( ~ ( leq @ n0 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
| ~ ( leq @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) @ SV161 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1225,plain,
! [SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( leq @ SV156 @ SV161 )
= $false )
| ( ( ( a_select2 @ SV166 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
= SV170 )
= $false )
| ( ( leq @ n0 @ SV156 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1226,plain,
! [SV174: $i,SV173: $i,SV172: $i,SV165: $i,SV152: $i,SV169: $i,SV160: $i] :
( ( ( SV160 = SV169 )
= $false )
| ( ( SV152 = SV165 )
= $true )
| ( ( ( a_select3 @ SV172 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1227,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( ~ ( leq @ n0 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1228,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( ~ ( leq @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) @ SV161 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1229,plain,
! [SV174: $i,SV160: $i,SV152: $i,SV173: $i,SV169: $i,SV165: $i,SV172: $i] :
( ( ( ( a_select3 @ SV172 @ SV165 @ SV169 )
= SV173 )
= $false )
| ( ( SV152 = SV165 )
= $true )
| ( ( SV160 = SV169 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV172 @ SV152 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1230,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( leq @ n0 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1231,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( leq @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) @ SV161 )
= $true )
| ( ( ~ ( leq @ n0 @ SV156 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1228]) ).
thf(1232,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( leq @ n0 @ SV156 )
= $false )
| ( ( leq @ n0 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1233,plain,
! [SV161: $i,SV166: $i,SV170: $i,SV156: $i] :
( ( ( leq @ n0 @ SV156 )
= $false )
| ( ( leq @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) @ SV161 )
= $true )
| ( ( ~ ( leq @ SV156 @ SV161 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1234,plain,
! [SV166: $i,SV170: $i,SV161: $i,SV156: $i] :
( ( ( leq @ SV156 @ SV161 )
= $false )
| ( ( leq @ n0 @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) )
= $true )
| ( ( leq @ n0 @ SV156 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1235,plain,
! [SV166: $i,SV170: $i,SV161: $i,SV156: $i] :
( ( ( leq @ SV156 @ SV161 )
= $false )
| ( ( leq @ ( sK6_SY326 @ SV156 @ SV170 @ SV166 @ SV161 ) @ SV161 )
= $true )
| ( ( leq @ n0 @ SV156 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV161 @ SV170 ) @ SV156 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1236,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1064,1235,1234,1229,1225,1212,1211,1206,1204,1197,1189,1179,1148,1138,1119,1115,1101,1100,1099,1098,1097,1096,1095,1094,1093,1092,1091,1090,1089,1088,1087,1086,1085,1078,1077,1076,1075,1074,1073,1072,1071,1070,1069,1068,1067,1066,1065]) ).
thf(1237,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(1238,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(1239,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1240,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(1241,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(1242,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1243,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1244,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1245,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1246,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1247,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1248,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1249,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1250,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1251,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1252,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1253,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1254,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1255,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1256,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1257,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1258,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(1259,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(1260,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1261,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1262,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1263,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1264,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1265,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1266,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1267,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1268,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1269,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1270,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1271,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1272,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1273,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1274,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1275,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1276,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1277,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1278,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1279,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1280,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1281,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(1282,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)],[1259]) ).
thf(1283,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)],[1240]) ).
thf(1284,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1262]) ).
thf(1285,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1261]) ).
thf(1286,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1263]) ).
thf(1287,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1242]) ).
thf(1288,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)],[1238]) ).
thf(1289,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1260]) ).
thf(1290,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)],[1258]) ).
thf(1291,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)],[1241]) ).
thf(1292,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)],[1237]) ).
thf(1293,plain,
! [SV176: $i] :
( ( ! [SY333: $i,SY334: $i] :
( ( a_select2 @ ( tptp_update2 @ SV176 @ SY333 @ SY334 ) @ SY333 )
= SY334 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1294,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1295,plain,
! [SV177: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV177 )
| ~ ( leq @ SV177 @ n5 ) )
| ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 )
| ( SV177 = n4 )
| ( SV177 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1296,plain,
! [SV178: $i] :
( ( ! [SY335: $i,SY336: $i,SY337: $i,SY338: $i] :
( ~ ~ ( ~ ( ( SV178 != SY335 ) )
| ( ( a_select2 @ SY336 @ SY335 )
!= SY337 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY336 @ SV178 @ SY338 ) @ SY335 )
= SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1297,plain,
! [SV179: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV179 )
| ~ ( leq @ SV179 @ n2 ) )
| ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1298,plain,
! [SV180: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV180 )
| ~ ( leq @ SV180 @ n1 ) )
| ( SV180 = n0 )
| ( SV180 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1299,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV181 )
| ~ ( leq @ SV181 @ n3 ) )
| ( SV181 = n0 )
| ( SV181 = n1 )
| ( SV181 = n2 )
| ( SV181 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1300,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1301,plain,
! [SV182: $i] :
( ( ! [SY339: $i,SY340: $i,SY341: $i,SY342: $i,SY343: $i,SY344: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV182 != SY340 ) )
| ( SY339 != SY341 ) )
| ( ( a_select3 @ SY342 @ SY340 @ SY341 )
!= SY343 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY342 @ SV182 @ SY339 @ SY344 ) @ SY340 @ SY341 )
= SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1302,plain,
! [SV183: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV183 )
| ~ ( leq @ SV183 @ n0 ) )
| ( SV183 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1303,plain,
! [SV184: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV184 )
| ~ ( leq @ SV184 @ n4 ) )
| ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1304,plain,
! [SV185: $i] :
( ( ! [SY345: $i,SY346: $i,SY347: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY345 ) )
| ( ( a_select2 @ SY346 @ SX4 )
= SY347 ) )
| ~ ( leq @ n0 @ SV185 ) )
| ~ ( leq @ SV185 @ SY345 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY346 @ SY345 @ SY347 ) @ SV185 )
= SY347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1305,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)],[1292]) ).
thf(1306,plain,
! [SV187: $i,SV176: $i] :
( ( ! [SY351: $i] :
( ( a_select2 @ ( tptp_update2 @ SV176 @ SV187 @ SY351 ) @ SV187 )
= SY351 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1307,plain,
! [SV177: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV177 )
| ~ ( leq @ SV177 @ n5 ) ) )
= $true )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 )
| ( SV177 = n4 )
| ( SV177 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1308,plain,
! [SV188: $i,SV178: $i] :
( ( ! [SY352: $i,SY353: $i,SY354: $i] :
( ~ ~ ( ~ ( ( SV178 != SV188 ) )
| ( ( a_select2 @ SY352 @ SV188 )
!= SY353 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY352 @ SV178 @ SY354 ) @ SV188 )
= SY353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1309,plain,
! [SV179: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV179 )
| ~ ( leq @ SV179 @ n2 ) ) )
= $true )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1297]) ).
thf(1310,plain,
! [SV180: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV180 )
| ~ ( leq @ SV180 @ n1 ) ) )
= $true )
| ( ( ( SV180 = n0 )
| ( SV180 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1298]) ).
thf(1311,plain,
! [SV181: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV181 )
| ~ ( leq @ SV181 @ n3 ) ) )
= $true )
| ( ( ( SV181 = n0 )
| ( SV181 = n1 )
| ( SV181 = n2 )
| ( SV181 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1299]) ).
thf(1312,plain,
! [SV189: $i,SV182: $i] :
( ( ! [SY355: $i,SY356: $i,SY357: $i,SY358: $i,SY359: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV182 != SY355 ) )
| ( SV189 != SY356 ) )
| ( ( a_select3 @ SY357 @ SY355 @ SY356 )
!= SY358 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY357 @ SV182 @ SV189 @ SY359 ) @ SY355 @ SY356 )
= SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1313,plain,
! [SV183: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV183 )
| ~ ( leq @ SV183 @ n0 ) ) )
= $true )
| ( ( SV183 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1302]) ).
thf(1314,plain,
! [SV184: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV184 )
| ~ ( leq @ SV184 @ n4 ) ) )
= $true )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1303]) ).
thf(1315,plain,
! [SV185: $i,SV190: $i] :
( ( ! [SY360: $i,SY361: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY362: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY362 )
| ~ ( leq @ SY362 @ SV190 ) )
| ( ( a_select2 @ SY360 @ SY362 )
= SY361 ) )
| ~ ( leq @ n0 @ SV185 ) )
| ~ ( leq @ SV185 @ SV190 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY360 @ SV190 @ SY361 ) @ SV185 )
= SY361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1316,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)],[1305]) ).
thf(1317,plain,
! [SV192: $i,SV187: $i,SV176: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV176 @ SV187 @ SV192 ) @ SV187 )
= SV192 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1318,plain,
! [SV177: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV177 )
| ~ ( leq @ SV177 @ n5 ) ) )
= $false )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 )
| ( SV177 = n4 )
| ( SV177 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1307]) ).
thf(1319,plain,
! [SV193: $i,SV188: $i,SV178: $i] :
( ( ! [SY364: $i,SY365: $i] :
( ~ ~ ( ~ ( ( SV178 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SY364 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SY365 ) @ SV188 )
= SY364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1308]) ).
thf(1320,plain,
! [SV179: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV179 )
| ~ ( leq @ SV179 @ n2 ) ) )
= $false )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1321,plain,
! [SV180: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV180 )
| ~ ( leq @ SV180 @ n1 ) ) )
= $false )
| ( ( ( SV180 = n0 )
| ( SV180 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1322,plain,
! [SV181: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV181 )
| ~ ( leq @ SV181 @ n3 ) ) )
= $false )
| ( ( ( SV181 = n0 )
| ( SV181 = n1 )
| ( SV181 = n2 )
| ( SV181 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1323,plain,
! [SV189: $i,SV194: $i,SV182: $i] :
( ( ! [SY366: $i,SY367: $i,SY368: $i,SY369: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SY366 ) )
| ( ( a_select3 @ SY367 @ SV194 @ SY366 )
!= SY368 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY367 @ SV182 @ SV189 @ SY369 ) @ SV194 @ SY366 )
= SY368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1324,plain,
! [SV183: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV183 )
| ~ ( leq @ SV183 @ n0 ) ) )
= $false )
| ( ( SV183 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1325,plain,
! [SV184: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV184 )
| ~ ( leq @ SV184 @ n4 ) ) )
= $false )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1326,plain,
! [SV185: $i,SV195: $i,SV190: $i] :
( ( ! [SY370: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY371: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY371 )
| ~ ( leq @ SY371 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY371 )
= SY370 ) )
| ~ ( leq @ n0 @ SV185 ) )
| ~ ( leq @ SV185 @ SV190 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SY370 ) @ SV185 )
= SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1327,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)],[1316]) ).
thf(1328,plain,
! [SV177: $i] :
( ( ( ~ ( leq @ n0 @ SV177 )
| ~ ( leq @ SV177 @ n5 ) )
= $true )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 )
| ( SV177 = n4 )
| ( SV177 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1329,plain,
! [SV197: $i,SV193: $i,SV188: $i,SV178: $i] :
( ( ! [SY372: $i] :
( ~ ~ ( ~ ( ( SV178 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SY372 ) @ SV188 )
= SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1330,plain,
! [SV179: $i] :
( ( ( ~ ( leq @ n0 @ SV179 )
| ~ ( leq @ SV179 @ n2 ) )
= $true )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1331,plain,
! [SV180: $i] :
( ( ( ~ ( leq @ n0 @ SV180 )
| ~ ( leq @ SV180 @ n1 ) )
= $true )
| ( ( ( SV180 = n0 )
| ( SV180 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1321]) ).
thf(1332,plain,
! [SV181: $i] :
( ( ( ~ ( leq @ n0 @ SV181 )
| ~ ( leq @ SV181 @ n3 ) )
= $true )
| ( ( ( SV181 = n0 )
| ( SV181 = n1 )
| ( SV181 = n2 )
| ( SV181 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1333,plain,
! [SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ! [SY373: $i,SY374: $i,SY375: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) )
| ( ( a_select3 @ SY373 @ SV194 @ SV198 )
!= SY374 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY373 @ SV182 @ SV189 @ SY375 ) @ SV194 @ SV198 )
= SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1334,plain,
! [SV183: $i] :
( ( ( ~ ( leq @ n0 @ SV183 )
| ~ ( leq @ SV183 @ n0 ) )
= $true )
| ( ( SV183 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1324]) ).
thf(1335,plain,
! [SV184: $i] :
( ( ( ~ ( leq @ n0 @ SV184 )
| ~ ( leq @ SV184 @ n4 ) )
= $true )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1325]) ).
thf(1336,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) )
| ~ ( leq @ n0 @ SV185 ) )
| ~ ( leq @ SV185 @ SV190 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1337,plain,
! [SV177: $i] :
( ( ( ~ ( leq @ n0 @ SV177 ) )
= $true )
| ( ( ~ ( leq @ SV177 @ n5 ) )
= $true )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 )
| ( SV177 = n4 )
| ( SV177 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1338,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV178: $i] :
( ( ~ ~ ( ~ ( ( SV178 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SV200 ) @ SV188 )
= SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1339,plain,
! [SV179: $i] :
( ( ( ~ ( leq @ n0 @ SV179 ) )
= $true )
| ( ( ~ ( leq @ SV179 @ n2 ) )
= $true )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1340,plain,
! [SV180: $i] :
( ( ( ~ ( leq @ n0 @ SV180 ) )
= $true )
| ( ( ~ ( leq @ SV180 @ n1 ) )
= $true )
| ( ( ( SV180 = n0 )
| ( SV180 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1331]) ).
thf(1341,plain,
! [SV181: $i] :
( ( ( ~ ( leq @ n0 @ SV181 ) )
= $true )
| ( ( ~ ( leq @ SV181 @ n3 ) )
= $true )
| ( ( ( SV181 = n0 )
| ( SV181 = n1 )
| ( SV181 = n2 )
| ( SV181 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1342,plain,
! [SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ! [SY377: $i,SY378: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) )
| ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SY377 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SY378 ) @ SV194 @ SV198 )
= SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1343,plain,
! [SV183: $i] :
( ( ( ~ ( leq @ n0 @ SV183 ) )
= $true )
| ( ( ~ ( leq @ SV183 @ n0 ) )
= $true )
| ( ( SV183 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1334]) ).
thf(1344,plain,
! [SV184: $i] :
( ( ( ~ ( leq @ n0 @ SV184 ) )
= $true )
| ( ( ~ ( leq @ SV184 @ n4 ) )
= $true )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1335]) ).
thf(1345,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) )
| ~ ( leq @ n0 @ SV185 ) )
| ~ ( leq @ SV185 @ SV190 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1336]) ).
thf(1346,plain,
! [SV177: $i] :
( ( ( leq @ n0 @ SV177 )
= $false )
| ( ( ~ ( leq @ SV177 @ n5 ) )
= $true )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 )
| ( SV177 = n4 )
| ( SV177 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1347,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV178: $i] :
( ( ( ~ ~ ( ~ ( ( SV178 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1348,plain,
! [SV179: $i] :
( ( ( leq @ n0 @ SV179 )
= $false )
| ( ( ~ ( leq @ SV179 @ n2 ) )
= $true )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1349,plain,
! [SV180: $i] :
( ( ( leq @ n0 @ SV180 )
= $false )
| ( ( ~ ( leq @ SV180 @ n1 ) )
= $true )
| ( ( ( SV180 = n0 )
| ( SV180 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1350,plain,
! [SV181: $i] :
( ( ( leq @ n0 @ SV181 )
= $false )
| ( ( ~ ( leq @ SV181 @ n3 ) )
= $true )
| ( ( ( SV181 = n0 )
| ( SV181 = n1 )
| ( SV181 = n2 )
| ( SV181 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1351,plain,
! [SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ! [SY379: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) )
| ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SY379 ) @ SV194 @ SV198 )
= SV202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1352,plain,
! [SV183: $i] :
( ( ( leq @ n0 @ SV183 )
= $false )
| ( ( ~ ( leq @ SV183 @ n0 ) )
= $true )
| ( ( SV183 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1353,plain,
! [SV184: $i] :
( ( ( leq @ n0 @ SV184 )
= $false )
| ( ( ~ ( leq @ SV184 @ n4 ) )
= $true )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1354,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) )
| ~ ( leq @ n0 @ SV185 ) )
| ~ ( leq @ SV185 @ SV190 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1355,plain,
! [SV177: $i] :
( ( ( leq @ SV177 @ n5 )
= $false )
| ( ( leq @ n0 @ SV177 )
= $false )
| ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 )
| ( SV177 = n4 )
| ( SV177 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1356,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV178: $i] :
( ( ( ~ ( ~ ( ( SV178 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1357,plain,
! [SV179: $i] :
( ( ( leq @ SV179 @ n2 )
= $false )
| ( ( leq @ n0 @ SV179 )
= $false )
| ( ( ( SV179 = n0 )
| ( SV179 = n1 )
| ( SV179 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1358,plain,
! [SV180: $i] :
( ( ( leq @ SV180 @ n1 )
= $false )
| ( ( leq @ n0 @ SV180 )
= $false )
| ( ( ( SV180 = n0 )
| ( SV180 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1359,plain,
! [SV181: $i] :
( ( ( leq @ SV181 @ n3 )
= $false )
| ( ( leq @ n0 @ SV181 )
= $false )
| ( ( ( SV181 = n0 )
| ( SV181 = n1 )
| ( SV181 = n2 )
| ( SV181 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1360,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) )
| ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1361,plain,
! [SV183: $i] :
( ( ( leq @ SV183 @ n0 )
= $false )
| ( ( leq @ n0 @ SV183 )
= $false )
| ( ( SV183 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1362,plain,
! [SV184: $i] :
( ( ( leq @ SV184 @ n4 )
= $false )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 )
| ( SV184 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1363,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) )
| ~ ( leq @ n0 @ SV185 ) )
| ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1364,plain,
! [SV177: $i] :
( ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 )
| ( SV177 = n4 ) )
= $true )
| ( ( SV177 = n5 )
= $true )
| ( ( leq @ n0 @ SV177 )
= $false )
| ( ( leq @ SV177 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1355]) ).
thf(1365,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV178: $i] :
( ( ( ~ ( ( SV178 != SV188 ) )
| ( ( a_select2 @ SV193 @ SV188 )
!= SV197 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1366,plain,
! [SV179: $i] :
( ( ( ( SV179 = n0 )
| ( SV179 = n1 ) )
= $true )
| ( ( SV179 = n2 )
= $true )
| ( ( leq @ n0 @ SV179 )
= $false )
| ( ( leq @ SV179 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1357]) ).
thf(1367,plain,
! [SV180: $i] :
( ( ( SV180 = n0 )
= $true )
| ( ( SV180 = n1 )
= $true )
| ( ( leq @ n0 @ SV180 )
= $false )
| ( ( leq @ SV180 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1358]) ).
thf(1368,plain,
! [SV181: $i] :
( ( ( ( SV181 = n0 )
| ( SV181 = n1 )
| ( SV181 = n2 ) )
= $true )
| ( ( SV181 = n3 )
= $true )
| ( ( leq @ n0 @ SV181 )
= $false )
| ( ( leq @ SV181 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1359]) ).
thf(1369,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) )
| ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1360]) ).
thf(1370,plain,
! [SV184: $i] :
( ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 )
| ( SV184 = n3 ) )
= $true )
| ( ( SV184 = n4 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1362]) ).
thf(1371,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ( ~ ~ ( ~ ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) )
| ~ ( leq @ n0 @ SV185 ) ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1363]) ).
thf(1372,plain,
! [SV177: $i] :
( ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 )
| ( SV177 = n3 ) )
= $true )
| ( ( SV177 = n4 )
= $true )
| ( ( SV177 = n5 )
= $true )
| ( ( leq @ n0 @ SV177 )
= $false )
| ( ( leq @ SV177 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1373,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV178: $i] :
( ( ( ~ ( ( SV178 != SV188 ) ) )
= $true )
| ( ( ( a_select2 @ SV193 @ SV188 )
!= SV197 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1374,plain,
! [SV179: $i] :
( ( ( SV179 = n0 )
= $true )
| ( ( SV179 = n1 )
= $true )
| ( ( SV179 = n2 )
= $true )
| ( ( leq @ n0 @ SV179 )
= $false )
| ( ( leq @ SV179 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1375,plain,
! [SV181: $i] :
( ( ( ( SV181 = n0 )
| ( SV181 = n1 ) )
= $true )
| ( ( SV181 = n2 )
= $true )
| ( ( SV181 = n3 )
= $true )
| ( ( leq @ n0 @ SV181 )
= $false )
| ( ( leq @ SV181 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1376,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) )
| ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1377,plain,
! [SV184: $i] :
( ( ( ( SV184 = n0 )
| ( SV184 = n1 )
| ( SV184 = n2 ) )
= $true )
| ( ( SV184 = n3 )
= $true )
| ( ( SV184 = n4 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1378,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ( ~ ( ~ ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) )
| ~ ( leq @ n0 @ SV185 ) ) )
= $false )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1379,plain,
! [SV177: $i] :
( ( ( ( SV177 = n0 )
| ( SV177 = n1 )
| ( SV177 = n2 ) )
= $true )
| ( ( SV177 = n3 )
= $true )
| ( ( SV177 = n4 )
= $true )
| ( ( SV177 = n5 )
= $true )
| ( ( leq @ n0 @ SV177 )
= $false )
| ( ( leq @ SV177 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1380,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV178: $i] :
( ( ( SV178 != SV188 )
= $false )
| ( ( ( a_select2 @ SV193 @ SV188 )
!= SV197 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1381,plain,
! [SV181: $i] :
( ( ( SV181 = n0 )
= $true )
| ( ( SV181 = n1 )
= $true )
| ( ( SV181 = n2 )
= $true )
| ( ( SV181 = n3 )
= $true )
| ( ( leq @ n0 @ SV181 )
= $false )
| ( ( leq @ SV181 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1382,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) )
| ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1383,plain,
! [SV184: $i] :
( ( ( ( SV184 = n0 )
| ( SV184 = n1 ) )
= $true )
| ( ( SV184 = n2 )
= $true )
| ( ( SV184 = n3 )
= $true )
| ( ( SV184 = n4 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1377]) ).
thf(1384,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ( ~ ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) )
| ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1385,plain,
! [SV177: $i] :
( ( ( ( SV177 = n0 )
| ( SV177 = n1 ) )
= $true )
| ( ( SV177 = n2 )
= $true )
| ( ( SV177 = n3 )
= $true )
| ( ( SV177 = n4 )
= $true )
| ( ( SV177 = n5 )
= $true )
| ( ( leq @ n0 @ SV177 )
= $false )
| ( ( leq @ SV177 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1379]) ).
thf(1386,plain,
! [SV200: $i,SV197: $i,SV193: $i,SV188: $i,SV178: $i] :
( ( ( SV178 = SV188 )
= $true )
| ( ( ( a_select2 @ SV193 @ SV188 )
!= SV197 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1387,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( ~ ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) ) )
= $true )
| ( ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1382]) ).
thf(1388,plain,
! [SV184: $i] :
( ( ( SV184 = n0 )
= $true )
| ( ( SV184 = n1 )
= $true )
| ( ( SV184 = n2 )
= $true )
| ( ( SV184 = n3 )
= $true )
| ( ( SV184 = n4 )
= $true )
| ( ( leq @ n0 @ SV184 )
= $false )
| ( ( leq @ SV184 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1383]) ).
thf(1389,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ( ~ ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1384]) ).
thf(1390,plain,
! [SV177: $i] :
( ( ( SV177 = n0 )
= $true )
| ( ( SV177 = n1 )
= $true )
| ( ( SV177 = n2 )
= $true )
| ( ( SV177 = n3 )
= $true )
| ( ( SV177 = n4 )
= $true )
| ( ( SV177 = n5 )
= $true )
| ( ( leq @ n0 @ SV177 )
= $false )
| ( ( leq @ SV177 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1391,plain,
! [SV200: $i,SV178: $i,SV197: $i,SV188: $i,SV193: $i] :
( ( ( ( a_select2 @ SV193 @ SV188 )
= SV197 )
= $false )
| ( ( SV178 = SV188 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV193 @ SV178 @ SV200 ) @ SV188 )
= SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1392,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( ~ ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) ) )
= $false )
| ( ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1393,plain,
! [SV185: $i,SV199: $i,SV195: $i,SV190: $i] :
( ( ( ! [SY376: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY376 )
| ~ ( leq @ SY376 @ SV190 ) )
| ( ( a_select2 @ SV195 @ SY376 )
= SV199 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1394,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( ~ ( ( SV182 != SV194 ) )
| ( SV189 != SV198 ) )
= $true )
| ( ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1392]) ).
thf(1395,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
| ~ ( leq @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) @ SV190 ) )
| ( ( a_select2 @ SV195 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
= SV199 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1393]) ).
thf(1396,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( ~ ( ( SV182 != SV194 ) ) )
= $true )
| ( ( SV189 != SV198 )
= $true )
| ( ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1394]) ).
thf(1397,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
| ~ ( leq @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) @ SV190 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1395]) ).
thf(1398,plain,
! [SV190: $i,SV199: $i,SV185: $i,SV195: $i] :
( ( ( ( a_select2 @ SV195 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
= SV199 )
= $false )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1395]) ).
thf(1399,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( SV182 != SV194 )
= $false )
| ( ( SV189 != SV198 )
= $true )
| ( ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1400,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
| ~ ( leq @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) @ SV190 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1397]) ).
thf(1401,plain,
! [SV190: $i,SV199: $i,SV195: $i,SV185: $i] :
( ( ( leq @ n0 @ SV185 )
= $false )
| ( ( ( a_select2 @ SV195 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
= SV199 )
= $false )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1402,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV198: $i,SV189: $i,SV194: $i,SV182: $i] :
( ( ( SV182 = SV194 )
= $true )
| ( ( SV189 != SV198 )
= $true )
| ( ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1399]) ).
thf(1403,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( ~ ( leq @ n0 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
| ~ ( leq @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) @ SV190 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1404,plain,
! [SV199: $i,SV195: $i,SV190: $i,SV185: $i] :
( ( ( leq @ SV185 @ SV190 )
= $false )
| ( ( ( a_select2 @ SV195 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
= SV199 )
= $false )
| ( ( leq @ n0 @ SV185 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1405,plain,
! [SV203: $i,SV202: $i,SV201: $i,SV194: $i,SV182: $i,SV198: $i,SV189: $i] :
( ( ( SV189 = SV198 )
= $false )
| ( ( SV182 = SV194 )
= $true )
| ( ( ( a_select3 @ SV201 @ SV194 @ SV198 )
!= SV202 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1406,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( ~ ( leq @ n0 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1407,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( ~ ( leq @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) @ SV190 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1408,plain,
! [SV203: $i,SV189: $i,SV182: $i,SV202: $i,SV198: $i,SV194: $i,SV201: $i] :
( ( ( ( a_select3 @ SV201 @ SV194 @ SV198 )
= SV202 )
= $false )
| ( ( SV182 = SV194 )
= $true )
| ( ( SV189 = SV198 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV201 @ SV182 @ SV189 @ SV203 ) @ SV194 @ SV198 )
= SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1409,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( leq @ n0 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1406]) ).
thf(1410,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( leq @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) @ SV190 )
= $true )
| ( ( ~ ( leq @ n0 @ SV185 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1411,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( leq @ n0 @ SV185 )
= $false )
| ( ( leq @ n0 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1412,plain,
! [SV190: $i,SV195: $i,SV199: $i,SV185: $i] :
( ( ( leq @ n0 @ SV185 )
= $false )
| ( ( leq @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) @ SV190 )
= $true )
| ( ( ~ ( leq @ SV185 @ SV190 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1413,plain,
! [SV195: $i,SV199: $i,SV190: $i,SV185: $i] :
( ( ( leq @ SV185 @ SV190 )
= $false )
| ( ( leq @ n0 @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) )
= $true )
| ( ( leq @ n0 @ SV185 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1414,plain,
! [SV195: $i,SV199: $i,SV190: $i,SV185: $i] :
( ( ( leq @ SV185 @ SV190 )
= $false )
| ( ( leq @ ( sK7_SY376 @ SV185 @ SV199 @ SV195 @ SV190 ) @ SV190 )
= $true )
| ( ( leq @ n0 @ SV185 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV195 @ SV190 @ SV199 ) @ SV185 )
= SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1415,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1243,1414,1413,1408,1404,1391,1390,1388,1381,1374,1367,1361,1327,1317,1300,1294,1280,1279,1278,1277,1276,1275,1274,1273,1272,1271,1270,1269,1268,1267,1266,1265,1264,1257,1256,1255,1254,1253,1252,1251,1250,1249,1248,1247,1246,1245,1244]) ).
thf(1416,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(1417,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(1418,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1419,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(1420,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(1421,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1422,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1423,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1424,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1425,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1426,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1427,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1428,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1429,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1430,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1431,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1432,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1433,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1434,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1435,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1436,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1437,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(1438,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(1439,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1440,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1441,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1442,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1443,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1444,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1445,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1446,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1447,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1448,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1449,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1450,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1451,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1452,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1453,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1454,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1455,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1456,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1457,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1458,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1459,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1460,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(1461,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)],[1420]) ).
thf(1462,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)],[1419]) ).
thf(1463,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1421]) ).
thf(1464,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1442]) ).
thf(1465,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1440]) ).
thf(1466,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)],[1437]) ).
thf(1467,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1441]) ).
thf(1468,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1439]) ).
thf(1469,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)],[1438]) ).
thf(1470,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)],[1417]) ).
thf(1471,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)],[1416]) ).
thf(1472,plain,
! [SV205: $i] :
( ( ! [SY383: $i,SY384: $i] :
( ( a_select2 @ ( tptp_update2 @ SV205 @ SY383 @ SY384 ) @ SY383 )
= SY384 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1418]) ).
thf(1473,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1474,plain,
! [SV206: $i] :
( ( ! [SY385: $i,SY386: $i,SY387: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY385 ) )
| ( ( a_select2 @ SY386 @ SX4 )
= SY387 ) )
| ~ ( leq @ n0 @ SV206 ) )
| ~ ( leq @ SV206 @ SY385 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY386 @ SY385 @ SY387 ) @ SV206 )
= SY387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1475,plain,
! [SV207: $i] :
( ( ! [SY389: $i,SY390: $i,SY391: $i,SY392: $i] :
( ~ ~ ( ~ ( ( SV207 != SY389 ) )
| ( ( a_select2 @ SY390 @ SY389 )
!= SY391 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY390 @ SV207 @ SY392 ) @ SY389 )
= SY391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1476,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1477,plain,
! [SV208: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV208 )
| ~ ( leq @ SV208 @ n3 ) )
| ( SV208 = n0 )
| ( SV208 = n1 )
| ( SV208 = n2 )
| ( SV208 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1464]) ).
thf(1478,plain,
! [SV209: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV209 )
| ~ ( leq @ SV209 @ n1 ) )
| ( SV209 = n0 )
| ( SV209 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(1479,plain,
! [SV210: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV210 )
| ~ ( leq @ SV210 @ n4 ) )
| ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 )
| ( SV210 = n3 )
| ( SV210 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1466]) ).
thf(1480,plain,
! [SV211: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV211 )
| ~ ( leq @ SV211 @ n2 ) )
| ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1481,plain,
! [SV212: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV212 )
| ~ ( leq @ SV212 @ n0 ) )
| ( SV212 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1482,plain,
! [SV213: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV213 )
| ~ ( leq @ SV213 @ n5 ) )
| ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 )
| ( SV213 = n4 )
| ( SV213 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1483,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)],[1470]) ).
thf(1484,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)],[1471]) ).
thf(1485,plain,
! [SV216: $i,SV205: $i] :
( ( ! [SY401: $i] :
( ( a_select2 @ ( tptp_update2 @ SV205 @ SV216 @ SY401 ) @ SV216 )
= SY401 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1486,plain,
! [SV206: $i,SV217: $i] :
( ( ! [SY402: $i,SY403: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY404: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY404 )
| ~ ( leq @ SY404 @ SV217 ) )
| ( ( a_select2 @ SY402 @ SY404 )
= SY403 ) )
| ~ ( leq @ n0 @ SV206 ) )
| ~ ( leq @ SV206 @ SV217 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY402 @ SV217 @ SY403 ) @ SV206 )
= SY403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1487,plain,
! [SV218: $i,SV207: $i] :
( ( ! [SY405: $i,SY406: $i,SY407: $i] :
( ~ ~ ( ~ ( ( SV207 != SV218 ) )
| ( ( a_select2 @ SY405 @ SV218 )
!= SY406 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY405 @ SV207 @ SY407 ) @ SV218 )
= SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1488,plain,
! [SV208: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV208 )
| ~ ( leq @ SV208 @ n3 ) ) )
= $true )
| ( ( ( SV208 = n0 )
| ( SV208 = n1 )
| ( SV208 = n2 )
| ( SV208 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1477]) ).
thf(1489,plain,
! [SV209: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV209 )
| ~ ( leq @ SV209 @ n1 ) ) )
= $true )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1490,plain,
! [SV210: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV210 )
| ~ ( leq @ SV210 @ n4 ) ) )
= $true )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 )
| ( SV210 = n3 )
| ( SV210 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1479]) ).
thf(1491,plain,
! [SV211: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV211 )
| ~ ( leq @ SV211 @ n2 ) ) )
= $true )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1480]) ).
thf(1492,plain,
! [SV212: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV212 )
| ~ ( leq @ SV212 @ n0 ) ) )
= $true )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1493,plain,
! [SV213: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV213 )
| ~ ( leq @ SV213 @ n5 ) ) )
= $true )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 )
| ( SV213 = n4 )
| ( SV213 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1482]) ).
thf(1494,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)],[1483]) ).
thf(1495,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)],[1484]) ).
thf(1496,plain,
! [SV221: $i,SV216: $i,SV205: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV205 @ SV216 @ SV221 ) @ SV216 )
= SV221 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1485]) ).
thf(1497,plain,
! [SV206: $i,SV222: $i,SV217: $i] :
( ( ! [SY414: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY415: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY415 )
| ~ ( leq @ SY415 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY415 )
= SY414 ) )
| ~ ( leq @ n0 @ SV206 ) )
| ~ ( leq @ SV206 @ SV217 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SY414 ) @ SV206 )
= SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1498,plain,
! [SV223: $i,SV218: $i,SV207: $i] :
( ( ! [SY416: $i,SY417: $i] :
( ~ ~ ( ~ ( ( SV207 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SY416 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SY417 ) @ SV218 )
= SY416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1499,plain,
! [SV208: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV208 )
| ~ ( leq @ SV208 @ n3 ) ) )
= $false )
| ( ( ( SV208 = n0 )
| ( SV208 = n1 )
| ( SV208 = n2 )
| ( SV208 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1500,plain,
! [SV209: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV209 )
| ~ ( leq @ SV209 @ n1 ) ) )
= $false )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1501,plain,
! [SV210: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV210 )
| ~ ( leq @ SV210 @ n4 ) ) )
= $false )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 )
| ( SV210 = n3 )
| ( SV210 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1502,plain,
! [SV211: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV211 )
| ~ ( leq @ SV211 @ n2 ) ) )
= $false )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1503,plain,
! [SV212: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV212 )
| ~ ( leq @ SV212 @ n0 ) ) )
= $false )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1504,plain,
! [SV213: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV213 )
| ~ ( leq @ SV213 @ n5 ) ) )
= $false )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 )
| ( SV213 = n4 )
| ( SV213 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1505,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)],[1494]) ).
thf(1506,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)],[1495]) ).
thf(1507,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV206 ) )
| ~ ( leq @ SV206 @ SV217 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1508,plain,
! [SV227: $i,SV223: $i,SV218: $i,SV207: $i] :
( ( ! [SY423: $i] :
( ~ ~ ( ~ ( ( SV207 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SY423 ) @ SV218 )
= SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1498]) ).
thf(1509,plain,
! [SV208: $i] :
( ( ( ~ ( leq @ n0 @ SV208 )
| ~ ( leq @ SV208 @ n3 ) )
= $true )
| ( ( ( SV208 = n0 )
| ( SV208 = n1 )
| ( SV208 = n2 )
| ( SV208 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1499]) ).
thf(1510,plain,
! [SV209: $i] :
( ( ( ~ ( leq @ n0 @ SV209 )
| ~ ( leq @ SV209 @ n1 ) )
= $true )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1500]) ).
thf(1511,plain,
! [SV210: $i] :
( ( ( ~ ( leq @ n0 @ SV210 )
| ~ ( leq @ SV210 @ n4 ) )
= $true )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 )
| ( SV210 = n3 )
| ( SV210 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1501]) ).
thf(1512,plain,
! [SV211: $i] :
( ( ( ~ ( leq @ n0 @ SV211 )
| ~ ( leq @ SV211 @ n2 ) )
= $true )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1502]) ).
thf(1513,plain,
! [SV212: $i] :
( ( ( ~ ( leq @ n0 @ SV212 )
| ~ ( leq @ SV212 @ n0 ) )
= $true )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1503]) ).
thf(1514,plain,
! [SV213: $i] :
( ( ( ~ ( leq @ n0 @ SV213 )
| ~ ( leq @ SV213 @ n5 ) )
= $true )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 )
| ( SV213 = n4 )
| ( SV213 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1504]) ).
thf(1515,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)],[1505]) ).
thf(1516,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV206 ) )
| ~ ( leq @ SV206 @ SV217 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1517,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV207: $i] :
( ( ~ ~ ( ~ ( ( SV207 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SV229 ) @ SV218 )
= SV227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1518,plain,
! [SV208: $i] :
( ( ( ~ ( leq @ n0 @ SV208 ) )
= $true )
| ( ( ~ ( leq @ SV208 @ n3 ) )
= $true )
| ( ( ( SV208 = n0 )
| ( SV208 = n1 )
| ( SV208 = n2 )
| ( SV208 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1519,plain,
! [SV209: $i] :
( ( ( ~ ( leq @ n0 @ SV209 ) )
= $true )
| ( ( ~ ( leq @ SV209 @ n1 ) )
= $true )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1510]) ).
thf(1520,plain,
! [SV210: $i] :
( ( ( ~ ( leq @ n0 @ SV210 ) )
= $true )
| ( ( ~ ( leq @ SV210 @ n4 ) )
= $true )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 )
| ( SV210 = n3 )
| ( SV210 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1511]) ).
thf(1521,plain,
! [SV211: $i] :
( ( ( ~ ( leq @ n0 @ SV211 ) )
= $true )
| ( ( ~ ( leq @ SV211 @ n2 ) )
= $true )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1512]) ).
thf(1522,plain,
! [SV212: $i] :
( ( ( ~ ( leq @ n0 @ SV212 ) )
= $true )
| ( ( ~ ( leq @ SV212 @ n0 ) )
= $true )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1523,plain,
! [SV213: $i] :
( ( ( ~ ( leq @ n0 @ SV213 ) )
= $true )
| ( ( ~ ( leq @ SV213 @ n5 ) )
= $true )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 )
| ( SV213 = n4 )
| ( SV213 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1524,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)],[1515]) ).
thf(1525,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV206 ) )
| ~ ( leq @ SV206 @ SV217 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1526,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV207: $i] :
( ( ( ~ ~ ( ~ ( ( SV207 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1517]) ).
thf(1527,plain,
! [SV208: $i] :
( ( ( leq @ n0 @ SV208 )
= $false )
| ( ( ~ ( leq @ SV208 @ n3 ) )
= $true )
| ( ( ( SV208 = n0 )
| ( SV208 = n1 )
| ( SV208 = n2 )
| ( SV208 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1528,plain,
! [SV209: $i] :
( ( ( leq @ n0 @ SV209 )
= $false )
| ( ( ~ ( leq @ SV209 @ n1 ) )
= $true )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1529,plain,
! [SV210: $i] :
( ( ( leq @ n0 @ SV210 )
= $false )
| ( ( ~ ( leq @ SV210 @ n4 ) )
= $true )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 )
| ( SV210 = n3 )
| ( SV210 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1530,plain,
! [SV211: $i] :
( ( ( leq @ n0 @ SV211 )
= $false )
| ( ( ~ ( leq @ SV211 @ n2 ) )
= $true )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1531,plain,
! [SV212: $i] :
( ( ( leq @ n0 @ SV212 )
= $false )
| ( ( ~ ( leq @ SV212 @ n0 ) )
= $true )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1532,plain,
! [SV213: $i] :
( ( ( leq @ n0 @ SV213 )
= $false )
| ( ( ~ ( leq @ SV213 @ n5 ) )
= $true )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 )
| ( SV213 = n4 )
| ( SV213 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1523]) ).
thf(1533,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)],[1524]) ).
thf(1534,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV206 ) )
| ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1535,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV207: $i] :
( ( ( ~ ( ~ ( ( SV207 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1536,plain,
! [SV208: $i] :
( ( ( leq @ SV208 @ n3 )
= $false )
| ( ( leq @ n0 @ SV208 )
= $false )
| ( ( ( SV208 = n0 )
| ( SV208 = n1 )
| ( SV208 = n2 )
| ( SV208 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1537,plain,
! [SV209: $i] :
( ( ( leq @ SV209 @ n1 )
= $false )
| ( ( leq @ n0 @ SV209 )
= $false )
| ( ( ( SV209 = n0 )
| ( SV209 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1538,plain,
! [SV210: $i] :
( ( ( leq @ SV210 @ n4 )
= $false )
| ( ( leq @ n0 @ SV210 )
= $false )
| ( ( ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 )
| ( SV210 = n3 )
| ( SV210 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1539,plain,
! [SV211: $i] :
( ( ( leq @ SV211 @ n2 )
= $false )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( ( SV211 = n0 )
| ( SV211 = n1 )
| ( SV211 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1540,plain,
! [SV212: $i] :
( ( ( leq @ SV212 @ n0 )
= $false )
| ( ( leq @ n0 @ SV212 )
= $false )
| ( ( SV212 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1541,plain,
! [SV213: $i] :
( ( ( leq @ SV213 @ n5 )
= $false )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 )
| ( SV213 = n4 )
| ( SV213 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1542,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)],[1533]) ).
thf(1543,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV206 ) ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1534]) ).
thf(1544,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV207: $i] :
( ( ( ~ ( ( SV207 != SV218 ) )
| ( ( a_select2 @ SV223 @ SV218 )
!= SV227 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1545,plain,
! [SV208: $i] :
( ( ( ( SV208 = n0 )
| ( SV208 = n1 )
| ( SV208 = n2 ) )
= $true )
| ( ( SV208 = n3 )
= $true )
| ( ( leq @ n0 @ SV208 )
= $false )
| ( ( leq @ SV208 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1546,plain,
! [SV209: $i] :
( ( ( SV209 = n0 )
= $true )
| ( ( SV209 = n1 )
= $true )
| ( ( leq @ n0 @ SV209 )
= $false )
| ( ( leq @ SV209 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1537]) ).
thf(1547,plain,
! [SV210: $i] :
( ( ( ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 )
| ( SV210 = n3 ) )
= $true )
| ( ( SV210 = n4 )
= $true )
| ( ( leq @ n0 @ SV210 )
= $false )
| ( ( leq @ SV210 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1548,plain,
! [SV211: $i] :
( ( ( ( SV211 = n0 )
| ( SV211 = n1 ) )
= $true )
| ( ( SV211 = n2 )
= $true )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( leq @ SV211 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1539]) ).
thf(1549,plain,
! [SV213: $i] :
( ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 )
| ( SV213 = n4 ) )
= $true )
| ( ( SV213 = n5 )
= $true )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( leq @ SV213 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1541]) ).
thf(1550,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)],[1542]) ).
thf(1551,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV206 ) ) )
= $false )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1552,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV207: $i] :
( ( ( ~ ( ( SV207 != SV218 ) ) )
= $true )
| ( ( ( a_select2 @ SV223 @ SV218 )
!= SV227 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1544]) ).
thf(1553,plain,
! [SV208: $i] :
( ( ( ( SV208 = n0 )
| ( SV208 = n1 ) )
= $true )
| ( ( SV208 = n2 )
= $true )
| ( ( SV208 = n3 )
= $true )
| ( ( leq @ n0 @ SV208 )
= $false )
| ( ( leq @ SV208 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1545]) ).
thf(1554,plain,
! [SV210: $i] :
( ( ( ( SV210 = n0 )
| ( SV210 = n1 )
| ( SV210 = n2 ) )
= $true )
| ( ( SV210 = n3 )
= $true )
| ( ( SV210 = n4 )
= $true )
| ( ( leq @ n0 @ SV210 )
= $false )
| ( ( leq @ SV210 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1555,plain,
! [SV211: $i] :
( ( ( SV211 = n0 )
= $true )
| ( ( SV211 = n1 )
= $true )
| ( ( SV211 = n2 )
= $true )
| ( ( leq @ n0 @ SV211 )
= $false )
| ( ( leq @ SV211 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1548]) ).
thf(1556,plain,
! [SV213: $i] :
( ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 )
| ( SV213 = n3 ) )
= $true )
| ( ( SV213 = n4 )
= $true )
| ( ( SV213 = n5 )
= $true )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( leq @ SV213 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1549]) ).
thf(1557,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)],[1550]) ).
thf(1558,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) )
| ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1559,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV207: $i] :
( ( ( SV207 != SV218 )
= $false )
| ( ( ( a_select2 @ SV223 @ SV218 )
!= SV227 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1560,plain,
! [SV208: $i] :
( ( ( SV208 = n0 )
= $true )
| ( ( SV208 = n1 )
= $true )
| ( ( SV208 = n2 )
= $true )
| ( ( SV208 = n3 )
= $true )
| ( ( leq @ n0 @ SV208 )
= $false )
| ( ( leq @ SV208 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1561,plain,
! [SV210: $i] :
( ( ( ( SV210 = n0 )
| ( SV210 = n1 ) )
= $true )
| ( ( SV210 = n2 )
= $true )
| ( ( SV210 = n3 )
= $true )
| ( ( SV210 = n4 )
= $true )
| ( ( leq @ n0 @ SV210 )
= $false )
| ( ( leq @ SV210 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1554]) ).
thf(1562,plain,
! [SV213: $i] :
( ( ( ( SV213 = n0 )
| ( SV213 = n1 )
| ( SV213 = n2 ) )
= $true )
| ( ( SV213 = n3 )
= $true )
| ( ( SV213 = n4 )
= $true )
| ( ( SV213 = n5 )
= $true )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( leq @ SV213 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1556]) ).
thf(1563,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)],[1557]) ).
thf(1564,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ~ ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1565,plain,
! [SV229: $i,SV227: $i,SV223: $i,SV218: $i,SV207: $i] :
( ( ( SV207 = SV218 )
= $true )
| ( ( ( a_select2 @ SV223 @ SV218 )
!= SV227 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1559]) ).
thf(1566,plain,
! [SV210: $i] :
( ( ( SV210 = n0 )
= $true )
| ( ( SV210 = n1 )
= $true )
| ( ( SV210 = n2 )
= $true )
| ( ( SV210 = n3 )
= $true )
| ( ( SV210 = n4 )
= $true )
| ( ( leq @ n0 @ SV210 )
= $false )
| ( ( leq @ SV210 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1561]) ).
thf(1567,plain,
! [SV213: $i] :
( ( ( ( SV213 = n0 )
| ( SV213 = n1 ) )
= $true )
| ( ( SV213 = n2 )
= $true )
| ( ( SV213 = n3 )
= $true )
| ( ( SV213 = n4 )
= $true )
| ( ( SV213 = n5 )
= $true )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( leq @ SV213 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1562]) ).
thf(1568,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)],[1563]) ).
thf(1569,plain,
! [SV206: $i,SV226: $i,SV222: $i,SV217: $i] :
( ( ( ! [SY422: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY422 )
| ~ ( leq @ SY422 @ SV217 ) )
| ( ( a_select2 @ SV222 @ SY422 )
= SV226 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1570,plain,
! [SV229: $i,SV207: $i,SV227: $i,SV218: $i,SV223: $i] :
( ( ( ( a_select2 @ SV223 @ SV218 )
= SV227 )
= $false )
| ( ( SV207 = SV218 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV223 @ SV207 @ SV229 ) @ SV218 )
= SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1571,plain,
! [SV213: $i] :
( ( ( SV213 = n0 )
= $true )
| ( ( SV213 = n1 )
= $true )
| ( ( SV213 = n2 )
= $true )
| ( ( SV213 = n3 )
= $true )
| ( ( SV213 = n4 )
= $true )
| ( ( SV213 = n5 )
= $true )
| ( ( leq @ n0 @ SV213 )
= $false )
| ( ( leq @ SV213 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1567]) ).
thf(1572,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)],[1568]) ).
thf(1573,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
| ~ ( leq @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) @ SV217 ) )
| ( ( a_select2 @ SV222 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
= SV226 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1569]) ).
thf(1574,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)],[1572]) ).
thf(1575,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
| ~ ( leq @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) @ SV217 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1576,plain,
! [SV217: $i,SV226: $i,SV206: $i,SV222: $i] :
( ( ( ( a_select2 @ SV222 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
= SV226 )
= $false )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1577,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)],[1574]) ).
thf(1578,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
| ~ ( leq @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) @ SV217 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1579,plain,
! [SV217: $i,SV226: $i,SV222: $i,SV206: $i] :
( ( ( leq @ n0 @ SV206 )
= $false )
| ( ( ( a_select2 @ SV222 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
= SV226 )
= $false )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1580,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)],[1577]) ).
thf(1581,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
| ~ ( leq @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) @ SV217 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1582,plain,
! [SV226: $i,SV222: $i,SV217: $i,SV206: $i] :
( ( ( leq @ SV206 @ SV217 )
= $false )
| ( ( ( a_select2 @ SV222 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
= SV226 )
= $false )
| ( ( leq @ n0 @ SV206 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1583,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)],[1580]) ).
thf(1584,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( ~ ( leq @ n0 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1585,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( ~ ( leq @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) @ SV217 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1586,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)],[1583]) ).
thf(1587,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( leq @ n0 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1588,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( leq @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) @ SV217 )
= $true )
| ( ( ~ ( leq @ n0 @ SV206 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1589,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)],[1586]) ).
thf(1590,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( leq @ n0 @ SV206 )
= $false )
| ( ( leq @ n0 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1587]) ).
thf(1591,plain,
! [SV217: $i,SV222: $i,SV226: $i,SV206: $i] :
( ( ( leq @ n0 @ SV206 )
= $false )
| ( ( leq @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) @ SV217 )
= $true )
| ( ( ~ ( leq @ SV206 @ SV217 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1592,plain,
! [SV222: $i,SV226: $i,SV217: $i,SV206: $i] :
( ( ( leq @ SV206 @ SV217 )
= $false )
| ( ( leq @ n0 @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) )
= $true )
| ( ( leq @ n0 @ SV206 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1593,plain,
! [SV222: $i,SV226: $i,SV217: $i,SV206: $i] :
( ( ( leq @ SV206 @ SV217 )
= $false )
| ( ( leq @ ( sK8_SY422 @ SV206 @ SV226 @ SV222 @ SV217 ) @ SV217 )
= $true )
| ( ( leq @ n0 @ SV206 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV222 @ SV217 @ SV226 ) @ SV206 )
= SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1594,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1422,1593,1592,1589,1582,1571,1570,1566,1560,1555,1546,1540,1506,1496,1476,1473,1459,1458,1457,1456,1455,1454,1453,1452,1451,1450,1449,1448,1447,1446,1445,1444,1443,1436,1435,1434,1433,1432,1431,1430,1429,1428,1427,1426,1425,1424,1423]) ).
thf(1595,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(1596,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(1597,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1598,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(1599,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(1600,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1601,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1602,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1603,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1604,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1605,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1606,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1607,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1608,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1609,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1610,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1611,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1612,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1613,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1614,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1615,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1616,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(1617,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(1618,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1619,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1620,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1621,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1622,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1623,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1624,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1625,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1626,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1627,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1628,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1629,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1630,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1631,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1632,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1633,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1634,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1635,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1636,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1637,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1638,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1639,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(1640,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1619]) ).
thf(1641,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)],[1616]) ).
thf(1642,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1600]) ).
thf(1643,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)],[1599]) ).
thf(1644,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)],[1617]) ).
thf(1645,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1621]) ).
thf(1646,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1620]) ).
thf(1647,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)],[1598]) ).
thf(1648,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)],[1596]) ).
thf(1649,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1618]) ).
thf(1650,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)],[1595]) ).
thf(1651,plain,
! [SV234: $i] :
( ( ! [SY433: $i,SY434: $i] :
( ( a_select2 @ ( tptp_update2 @ SV234 @ SY433 @ SY434 ) @ SY433 )
= SY434 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(1652,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1653,plain,
! [SV235: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV235 )
| ~ ( leq @ SV235 @ n1 ) )
| ( SV235 = n0 )
| ( SV235 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(1654,plain,
! [SV236: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV236 )
| ~ ( leq @ SV236 @ n4 ) )
| ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 )
| ( SV236 = n3 )
| ( SV236 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(1655,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1656,plain,
! [SV237: $i] :
( ( ! [SY435: $i,SY436: $i,SY437: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY435 ) )
| ( ( a_select2 @ SY436 @ SX4 )
= SY437 ) )
| ~ ( leq @ n0 @ SV237 ) )
| ~ ( leq @ SV237 @ SY435 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY436 @ SY435 @ SY437 ) @ SV237 )
= SY437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(1657,plain,
! [SV238: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV238 )
| ~ ( leq @ SV238 @ n5 ) )
| ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 )
| ( SV238 = n4 )
| ( SV238 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(1658,plain,
! [SV239: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV239 )
| ~ ( leq @ SV239 @ n3 ) )
| ( SV239 = n0 )
| ( SV239 = n1 )
| ( SV239 = n2 )
| ( SV239 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(1659,plain,
! [SV240: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV240 )
| ~ ( leq @ SV240 @ n2 ) )
| ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(1660,plain,
! [SV241: $i] :
( ( ! [SY439: $i,SY440: $i,SY441: $i,SY442: $i] :
( ~ ~ ( ~ ( ( SV241 != SY439 ) )
| ( ( a_select2 @ SY440 @ SY439 )
!= SY441 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY440 @ SV241 @ SY442 ) @ SY439 )
= SY441 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(1661,plain,
! [SV242: $i] :
( ( ! [SY443: $i,SY444: $i,SY445: $i,SY446: $i,SY447: $i,SY448: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV242 != SY444 ) )
| ( SY443 != SY445 ) )
| ( ( a_select3 @ SY446 @ SY444 @ SY445 )
!= SY447 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY446 @ SV242 @ SY443 @ SY448 ) @ SY444 @ SY445 )
= SY447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(1662,plain,
! [SV243: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV243 )
| ~ ( leq @ SV243 @ n0 ) )
| ( SV243 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(1663,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)],[1650]) ).
thf(1664,plain,
! [SV245: $i,SV234: $i] :
( ( ! [SY451: $i] :
( ( a_select2 @ ( tptp_update2 @ SV234 @ SV245 @ SY451 ) @ SV245 )
= SY451 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(1665,plain,
! [SV235: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV235 )
| ~ ( leq @ SV235 @ n1 ) ) )
= $true )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1666,plain,
! [SV236: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV236 )
| ~ ( leq @ SV236 @ n4 ) ) )
= $true )
| ( ( ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 )
| ( SV236 = n3 )
| ( SV236 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1667,plain,
! [SV237: $i,SV246: $i] :
( ( ! [SY452: $i,SY453: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY454: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY454 )
| ~ ( leq @ SY454 @ SV246 ) )
| ( ( a_select2 @ SY452 @ SY454 )
= SY453 ) )
| ~ ( leq @ n0 @ SV237 ) )
| ~ ( leq @ SV237 @ SV246 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY452 @ SV246 @ SY453 ) @ SV237 )
= SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(1668,plain,
! [SV238: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV238 )
| ~ ( leq @ SV238 @ n5 ) ) )
= $true )
| ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 )
| ( SV238 = n4 )
| ( SV238 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1657]) ).
thf(1669,plain,
! [SV239: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV239 )
| ~ ( leq @ SV239 @ n3 ) ) )
= $true )
| ( ( ( SV239 = n0 )
| ( SV239 = n1 )
| ( SV239 = n2 )
| ( SV239 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1670,plain,
! [SV240: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV240 )
| ~ ( leq @ SV240 @ n2 ) ) )
= $true )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1659]) ).
thf(1671,plain,
! [SV247: $i,SV241: $i] :
( ( ! [SY455: $i,SY456: $i,SY457: $i] :
( ~ ~ ( ~ ( ( SV241 != SV247 ) )
| ( ( a_select2 @ SY455 @ SV247 )
!= SY456 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY455 @ SV241 @ SY457 ) @ SV247 )
= SY456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(1672,plain,
! [SV248: $i,SV242: $i] :
( ( ! [SY458: $i,SY459: $i,SY460: $i,SY461: $i,SY462: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV242 != SY458 ) )
| ( SV248 != SY459 ) )
| ( ( a_select3 @ SY460 @ SY458 @ SY459 )
!= SY461 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY460 @ SV242 @ SV248 @ SY462 ) @ SY458 @ SY459 )
= SY461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(1673,plain,
! [SV243: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV243 )
| ~ ( leq @ SV243 @ n0 ) ) )
= $true )
| ( ( SV243 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1662]) ).
thf(1674,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)],[1663]) ).
thf(1675,plain,
! [SV250: $i,SV245: $i,SV234: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV234 @ SV245 @ SV250 ) @ SV245 )
= SV250 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(1676,plain,
! [SV235: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV235 )
| ~ ( leq @ SV235 @ n1 ) ) )
= $false )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1665]) ).
thf(1677,plain,
! [SV236: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV236 )
| ~ ( leq @ SV236 @ n4 ) ) )
= $false )
| ( ( ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 )
| ( SV236 = n3 )
| ( SV236 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1678,plain,
! [SV237: $i,SV251: $i,SV246: $i] :
( ( ! [SY464: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY465: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY465 )
| ~ ( leq @ SY465 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY465 )
= SY464 ) )
| ~ ( leq @ n0 @ SV237 ) )
| ~ ( leq @ SV237 @ SV246 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SY464 ) @ SV237 )
= SY464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(1679,plain,
! [SV238: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV238 )
| ~ ( leq @ SV238 @ n5 ) ) )
= $false )
| ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 )
| ( SV238 = n4 )
| ( SV238 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1680,plain,
! [SV239: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV239 )
| ~ ( leq @ SV239 @ n3 ) ) )
= $false )
| ( ( ( SV239 = n0 )
| ( SV239 = n1 )
| ( SV239 = n2 )
| ( SV239 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1681,plain,
! [SV240: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV240 )
| ~ ( leq @ SV240 @ n2 ) ) )
= $false )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1682,plain,
! [SV252: $i,SV247: $i,SV241: $i] :
( ( ! [SY466: $i,SY467: $i] :
( ~ ~ ( ~ ( ( SV241 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SY466 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SY467 ) @ SV247 )
= SY466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(1683,plain,
! [SV248: $i,SV253: $i,SV242: $i] :
( ( ! [SY468: $i,SY469: $i,SY470: $i,SY471: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SY468 ) )
| ( ( a_select3 @ SY469 @ SV253 @ SY468 )
!= SY470 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY469 @ SV242 @ SV248 @ SY471 ) @ SV253 @ SY468 )
= SY470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1672]) ).
thf(1684,plain,
! [SV243: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV243 )
| ~ ( leq @ SV243 @ n0 ) ) )
= $false )
| ( ( SV243 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1685,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)],[1674]) ).
thf(1686,plain,
! [SV235: $i] :
( ( ( ~ ( leq @ n0 @ SV235 )
| ~ ( leq @ SV235 @ n1 ) )
= $true )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1676]) ).
thf(1687,plain,
! [SV236: $i] :
( ( ( ~ ( leq @ n0 @ SV236 )
| ~ ( leq @ SV236 @ n4 ) )
= $true )
| ( ( ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 )
| ( SV236 = n3 )
| ( SV236 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1688,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) )
| ~ ( leq @ n0 @ SV237 ) )
| ~ ( leq @ SV237 @ SV246 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(1689,plain,
! [SV238: $i] :
( ( ( ~ ( leq @ n0 @ SV238 )
| ~ ( leq @ SV238 @ n5 ) )
= $true )
| ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 )
| ( SV238 = n4 )
| ( SV238 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1690,plain,
! [SV239: $i] :
( ( ( ~ ( leq @ n0 @ SV239 )
| ~ ( leq @ SV239 @ n3 ) )
= $true )
| ( ( ( SV239 = n0 )
| ( SV239 = n1 )
| ( SV239 = n2 )
| ( SV239 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1691,plain,
! [SV240: $i] :
( ( ( ~ ( leq @ n0 @ SV240 )
| ~ ( leq @ SV240 @ n2 ) )
= $true )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1692,plain,
! [SV256: $i,SV252: $i,SV247: $i,SV241: $i] :
( ( ! [SY473: $i] :
( ~ ~ ( ~ ( ( SV241 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SY473 ) @ SV247 )
= SV256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(1693,plain,
! [SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ! [SY474: $i,SY475: $i,SY476: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) )
| ( ( a_select3 @ SY474 @ SV253 @ SV257 )
!= SY475 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY474 @ SV242 @ SV248 @ SY476 ) @ SV253 @ SV257 )
= SY475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(1694,plain,
! [SV243: $i] :
( ( ( ~ ( leq @ n0 @ SV243 )
| ~ ( leq @ SV243 @ n0 ) )
= $true )
| ( ( SV243 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1695,plain,
! [SV235: $i] :
( ( ( ~ ( leq @ n0 @ SV235 ) )
= $true )
| ( ( ~ ( leq @ SV235 @ n1 ) )
= $true )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1686]) ).
thf(1696,plain,
! [SV236: $i] :
( ( ( ~ ( leq @ n0 @ SV236 ) )
= $true )
| ( ( ~ ( leq @ SV236 @ n4 ) )
= $true )
| ( ( ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 )
| ( SV236 = n3 )
| ( SV236 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1687]) ).
thf(1697,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) )
| ~ ( leq @ n0 @ SV237 ) )
| ~ ( leq @ SV237 @ SV246 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1688]) ).
thf(1698,plain,
! [SV238: $i] :
( ( ( ~ ( leq @ n0 @ SV238 ) )
= $true )
| ( ( ~ ( leq @ SV238 @ n5 ) )
= $true )
| ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 )
| ( SV238 = n4 )
| ( SV238 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1689]) ).
thf(1699,plain,
! [SV239: $i] :
( ( ( ~ ( leq @ n0 @ SV239 ) )
= $true )
| ( ( ~ ( leq @ SV239 @ n3 ) )
= $true )
| ( ( ( SV239 = n0 )
| ( SV239 = n1 )
| ( SV239 = n2 )
| ( SV239 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1690]) ).
thf(1700,plain,
! [SV240: $i] :
( ( ( ~ ( leq @ n0 @ SV240 ) )
= $true )
| ( ( ~ ( leq @ SV240 @ n2 ) )
= $true )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1691]) ).
thf(1701,plain,
! [SV258: $i,SV256: $i,SV252: $i,SV247: $i,SV241: $i] :
( ( ~ ~ ( ~ ( ( SV241 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SV258 ) @ SV247 )
= SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(1702,plain,
! [SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ! [SY477: $i,SY478: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) )
| ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SY477 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SY478 ) @ SV253 @ SV257 )
= SY477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1693]) ).
thf(1703,plain,
! [SV243: $i] :
( ( ( ~ ( leq @ n0 @ SV243 ) )
= $true )
| ( ( ~ ( leq @ SV243 @ n0 ) )
= $true )
| ( ( SV243 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1694]) ).
thf(1704,plain,
! [SV235: $i] :
( ( ( leq @ n0 @ SV235 )
= $false )
| ( ( ~ ( leq @ SV235 @ n1 ) )
= $true )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1705,plain,
! [SV236: $i] :
( ( ( leq @ n0 @ SV236 )
= $false )
| ( ( ~ ( leq @ SV236 @ n4 ) )
= $true )
| ( ( ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 )
| ( SV236 = n3 )
| ( SV236 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(1706,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) )
| ~ ( leq @ n0 @ SV237 ) )
| ~ ( leq @ SV237 @ SV246 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1697]) ).
thf(1707,plain,
! [SV238: $i] :
( ( ( leq @ n0 @ SV238 )
= $false )
| ( ( ~ ( leq @ SV238 @ n5 ) )
= $true )
| ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 )
| ( SV238 = n4 )
| ( SV238 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1708,plain,
! [SV239: $i] :
( ( ( leq @ n0 @ SV239 )
= $false )
| ( ( ~ ( leq @ SV239 @ n3 ) )
= $true )
| ( ( ( SV239 = n0 )
| ( SV239 = n1 )
| ( SV239 = n2 )
| ( SV239 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1709,plain,
! [SV240: $i] :
( ( ( leq @ n0 @ SV240 )
= $false )
| ( ( ~ ( leq @ SV240 @ n2 ) )
= $true )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1710,plain,
! [SV258: $i,SV256: $i,SV252: $i,SV247: $i,SV241: $i] :
( ( ( ~ ~ ( ~ ( ( SV241 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SV258 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1701]) ).
thf(1711,plain,
! [SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ! [SY479: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) )
| ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SY479 ) @ SV253 @ SV257 )
= SV260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1702]) ).
thf(1712,plain,
! [SV243: $i] :
( ( ( leq @ n0 @ SV243 )
= $false )
| ( ( ~ ( leq @ SV243 @ n0 ) )
= $true )
| ( ( SV243 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1713,plain,
! [SV235: $i] :
( ( ( leq @ SV235 @ n1 )
= $false )
| ( ( leq @ n0 @ SV235 )
= $false )
| ( ( ( SV235 = n0 )
| ( SV235 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1714,plain,
! [SV236: $i] :
( ( ( leq @ SV236 @ n4 )
= $false )
| ( ( leq @ n0 @ SV236 )
= $false )
| ( ( ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 )
| ( SV236 = n3 )
| ( SV236 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(1715,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ( ~ ~ ( ~ ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) )
| ~ ( leq @ n0 @ SV237 ) )
| ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1706]) ).
thf(1716,plain,
! [SV238: $i] :
( ( ( leq @ SV238 @ n5 )
= $false )
| ( ( leq @ n0 @ SV238 )
= $false )
| ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 )
| ( SV238 = n4 )
| ( SV238 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1717,plain,
! [SV239: $i] :
( ( ( leq @ SV239 @ n3 )
= $false )
| ( ( leq @ n0 @ SV239 )
= $false )
| ( ( ( SV239 = n0 )
| ( SV239 = n1 )
| ( SV239 = n2 )
| ( SV239 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1718,plain,
! [SV240: $i] :
( ( ( leq @ SV240 @ n2 )
= $false )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( ( SV240 = n0 )
| ( SV240 = n1 )
| ( SV240 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1719,plain,
! [SV258: $i,SV256: $i,SV252: $i,SV247: $i,SV241: $i] :
( ( ( ~ ( ~ ( ( SV241 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SV258 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1710]) ).
thf(1720,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) )
| ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(1721,plain,
! [SV243: $i] :
( ( ( leq @ SV243 @ n0 )
= $false )
| ( ( leq @ n0 @ SV243 )
= $false )
| ( ( SV243 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1722,plain,
! [SV235: $i] :
( ( ( SV235 = n0 )
= $true )
| ( ( SV235 = n1 )
= $true )
| ( ( leq @ n0 @ SV235 )
= $false )
| ( ( leq @ SV235 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1713]) ).
thf(1723,plain,
! [SV236: $i] :
( ( ( ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 )
| ( SV236 = n3 ) )
= $true )
| ( ( SV236 = n4 )
= $true )
| ( ( leq @ n0 @ SV236 )
= $false )
| ( ( leq @ SV236 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1714]) ).
thf(1724,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ( ~ ~ ( ~ ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) )
| ~ ( leq @ n0 @ SV237 ) ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1715]) ).
thf(1725,plain,
! [SV238: $i] :
( ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 )
| ( SV238 = n4 ) )
= $true )
| ( ( SV238 = n5 )
= $true )
| ( ( leq @ n0 @ SV238 )
= $false )
| ( ( leq @ SV238 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1726,plain,
! [SV239: $i] :
( ( ( ( SV239 = n0 )
| ( SV239 = n1 )
| ( SV239 = n2 ) )
= $true )
| ( ( SV239 = n3 )
= $true )
| ( ( leq @ n0 @ SV239 )
= $false )
| ( ( leq @ SV239 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1717]) ).
thf(1727,plain,
! [SV240: $i] :
( ( ( ( SV240 = n0 )
| ( SV240 = n1 ) )
= $true )
| ( ( SV240 = n2 )
= $true )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( leq @ SV240 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1728,plain,
! [SV258: $i,SV256: $i,SV252: $i,SV247: $i,SV241: $i] :
( ( ( ~ ( ( SV241 != SV247 ) )
| ( ( a_select2 @ SV252 @ SV247 )
!= SV256 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SV258 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1719]) ).
thf(1729,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) )
| ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1720]) ).
thf(1730,plain,
! [SV236: $i] :
( ( ( ( SV236 = n0 )
| ( SV236 = n1 )
| ( SV236 = n2 ) )
= $true )
| ( ( SV236 = n3 )
= $true )
| ( ( SV236 = n4 )
= $true )
| ( ( leq @ n0 @ SV236 )
= $false )
| ( ( leq @ SV236 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1723]) ).
thf(1731,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ( ~ ( ~ ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) )
| ~ ( leq @ n0 @ SV237 ) ) )
= $false )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1732,plain,
! [SV238: $i] :
( ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 )
| ( SV238 = n3 ) )
= $true )
| ( ( SV238 = n4 )
= $true )
| ( ( SV238 = n5 )
= $true )
| ( ( leq @ n0 @ SV238 )
= $false )
| ( ( leq @ SV238 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1725]) ).
thf(1733,plain,
! [SV239: $i] :
( ( ( ( SV239 = n0 )
| ( SV239 = n1 ) )
= $true )
| ( ( SV239 = n2 )
= $true )
| ( ( SV239 = n3 )
= $true )
| ( ( leq @ n0 @ SV239 )
= $false )
| ( ( leq @ SV239 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1726]) ).
thf(1734,plain,
! [SV240: $i] :
( ( ( SV240 = n0 )
= $true )
| ( ( SV240 = n1 )
= $true )
| ( ( SV240 = n2 )
= $true )
| ( ( leq @ n0 @ SV240 )
= $false )
| ( ( leq @ SV240 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1727]) ).
thf(1735,plain,
! [SV258: $i,SV256: $i,SV252: $i,SV247: $i,SV241: $i] :
( ( ( ~ ( ( SV241 != SV247 ) ) )
= $true )
| ( ( ( a_select2 @ SV252 @ SV247 )
!= SV256 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SV258 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1728]) ).
thf(1736,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) )
| ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1737,plain,
! [SV236: $i] :
( ( ( ( SV236 = n0 )
| ( SV236 = n1 ) )
= $true )
| ( ( SV236 = n2 )
= $true )
| ( ( SV236 = n3 )
= $true )
| ( ( SV236 = n4 )
= $true )
| ( ( leq @ n0 @ SV236 )
= $false )
| ( ( leq @ SV236 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1730]) ).
thf(1738,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ( ~ ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) )
| ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1731]) ).
thf(1739,plain,
! [SV238: $i] :
( ( ( ( SV238 = n0 )
| ( SV238 = n1 )
| ( SV238 = n2 ) )
= $true )
| ( ( SV238 = n3 )
= $true )
| ( ( SV238 = n4 )
= $true )
| ( ( SV238 = n5 )
= $true )
| ( ( leq @ n0 @ SV238 )
= $false )
| ( ( leq @ SV238 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1732]) ).
thf(1740,plain,
! [SV239: $i] :
( ( ( SV239 = n0 )
= $true )
| ( ( SV239 = n1 )
= $true )
| ( ( SV239 = n2 )
= $true )
| ( ( SV239 = n3 )
= $true )
| ( ( leq @ n0 @ SV239 )
= $false )
| ( ( leq @ SV239 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1733]) ).
thf(1741,plain,
! [SV258: $i,SV256: $i,SV252: $i,SV247: $i,SV241: $i] :
( ( ( SV241 != SV247 )
= $false )
| ( ( ( a_select2 @ SV252 @ SV247 )
!= SV256 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SV258 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1742,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) )
| ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(1743,plain,
! [SV236: $i] :
( ( ( SV236 = n0 )
= $true )
| ( ( SV236 = n1 )
= $true )
| ( ( SV236 = n2 )
= $true )
| ( ( SV236 = n3 )
= $true )
| ( ( SV236 = n4 )
= $true )
| ( ( leq @ n0 @ SV236 )
= $false )
| ( ( leq @ SV236 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1737]) ).
thf(1744,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ( ~ ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1738]) ).
thf(1745,plain,
! [SV238: $i] :
( ( ( ( SV238 = n0 )
| ( SV238 = n1 ) )
= $true )
| ( ( SV238 = n2 )
= $true )
| ( ( SV238 = n3 )
= $true )
| ( ( SV238 = n4 )
= $true )
| ( ( SV238 = n5 )
= $true )
| ( ( leq @ n0 @ SV238 )
= $false )
| ( ( leq @ SV238 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1739]) ).
thf(1746,plain,
! [SV258: $i,SV256: $i,SV252: $i,SV247: $i,SV241: $i] :
( ( ( SV241 = SV247 )
= $true )
| ( ( ( a_select2 @ SV252 @ SV247 )
!= SV256 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SV258 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1747,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( ~ ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) ) )
= $true )
| ( ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1742]) ).
thf(1748,plain,
! [SV237: $i,SV255: $i,SV251: $i,SV246: $i] :
( ( ( ! [SY472: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY472 )
| ~ ( leq @ SY472 @ SV246 ) )
| ( ( a_select2 @ SV251 @ SY472 )
= SV255 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1749,plain,
! [SV238: $i] :
( ( ( SV238 = n0 )
= $true )
| ( ( SV238 = n1 )
= $true )
| ( ( SV238 = n2 )
= $true )
| ( ( SV238 = n3 )
= $true )
| ( ( SV238 = n4 )
= $true )
| ( ( SV238 = n5 )
= $true )
| ( ( leq @ n0 @ SV238 )
= $false )
| ( ( leq @ SV238 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1745]) ).
thf(1750,plain,
! [SV258: $i,SV241: $i,SV256: $i,SV247: $i,SV252: $i] :
( ( ( ( a_select2 @ SV252 @ SV247 )
= SV256 )
= $false )
| ( ( SV241 = SV247 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV252 @ SV241 @ SV258 ) @ SV247 )
= SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1751,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( ~ ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) ) )
= $false )
| ( ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1747]) ).
thf(1752,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
| ~ ( leq @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) @ SV246 ) )
| ( ( a_select2 @ SV251 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
= SV255 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1748]) ).
thf(1753,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( ~ ( ( SV242 != SV253 ) )
| ( SV248 != SV257 ) )
= $true )
| ( ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(1754,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
| ~ ( leq @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) @ SV246 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1755,plain,
! [SV246: $i,SV255: $i,SV237: $i,SV251: $i] :
( ( ( ( a_select2 @ SV251 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
= SV255 )
= $false )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1756,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( ~ ( ( SV242 != SV253 ) ) )
= $true )
| ( ( SV248 != SV257 )
= $true )
| ( ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1753]) ).
thf(1757,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
| ~ ( leq @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) @ SV246 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1754]) ).
thf(1758,plain,
! [SV246: $i,SV255: $i,SV251: $i,SV237: $i] :
( ( ( leq @ n0 @ SV237 )
= $false )
| ( ( ( a_select2 @ SV251 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
= SV255 )
= $false )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1759,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( SV242 != SV253 )
= $false )
| ( ( SV248 != SV257 )
= $true )
| ( ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1760,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( ~ ( leq @ n0 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
| ~ ( leq @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) @ SV246 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(1761,plain,
! [SV255: $i,SV251: $i,SV246: $i,SV237: $i] :
( ( ( leq @ SV237 @ SV246 )
= $false )
| ( ( ( a_select2 @ SV251 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
= SV255 )
= $false )
| ( ( leq @ n0 @ SV237 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1758]) ).
thf(1762,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV257: $i,SV248: $i,SV253: $i,SV242: $i] :
( ( ( SV242 = SV253 )
= $true )
| ( ( SV248 != SV257 )
= $true )
| ( ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1763,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( ~ ( leq @ n0 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1764,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( ~ ( leq @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) @ SV246 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1765,plain,
! [SV261: $i,SV260: $i,SV259: $i,SV253: $i,SV242: $i,SV257: $i,SV248: $i] :
( ( ( SV248 = SV257 )
= $false )
| ( ( SV242 = SV253 )
= $true )
| ( ( ( a_select3 @ SV259 @ SV253 @ SV257 )
!= SV260 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1762]) ).
thf(1766,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( leq @ n0 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1767,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( leq @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) @ SV246 )
= $true )
| ( ( ~ ( leq @ n0 @ SV237 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1768,plain,
! [SV261: $i,SV248: $i,SV242: $i,SV260: $i,SV257: $i,SV253: $i,SV259: $i] :
( ( ( ( a_select3 @ SV259 @ SV253 @ SV257 )
= SV260 )
= $false )
| ( ( SV242 = SV253 )
= $true )
| ( ( SV248 = SV257 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV259 @ SV242 @ SV248 @ SV261 ) @ SV253 @ SV257 )
= SV260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1765]) ).
thf(1769,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( leq @ n0 @ SV237 )
= $false )
| ( ( leq @ n0 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1766]) ).
thf(1770,plain,
! [SV246: $i,SV251: $i,SV255: $i,SV237: $i] :
( ( ( leq @ n0 @ SV237 )
= $false )
| ( ( leq @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) @ SV246 )
= $true )
| ( ( ~ ( leq @ SV237 @ SV246 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(1771,plain,
! [SV251: $i,SV255: $i,SV246: $i,SV237: $i] :
( ( ( leq @ SV237 @ SV246 )
= $false )
| ( ( leq @ n0 @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) )
= $true )
| ( ( leq @ n0 @ SV237 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1772,plain,
! [SV251: $i,SV255: $i,SV246: $i,SV237: $i] :
( ( ( leq @ SV237 @ SV246 )
= $false )
| ( ( leq @ ( sK9_SY472 @ SV237 @ SV255 @ SV251 @ SV246 ) @ SV246 )
= $true )
| ( ( leq @ n0 @ SV237 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV251 @ SV246 @ SV255 ) @ SV237 )
= SV255 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1770]) ).
thf(1773,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1601,1772,1771,1768,1761,1750,1749,1743,1740,1734,1722,1721,1685,1675,1655,1652,1638,1637,1636,1635,1634,1633,1632,1631,1630,1629,1628,1627,1626,1625,1624,1623,1622,1615,1614,1613,1612,1611,1610,1609,1608,1607,1606,1605,1604,1603,1602]) ).
thf(1774,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(1775,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(1776,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1777,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(1778,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(1779,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1780,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1781,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1782,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1783,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1784,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1785,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1786,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1787,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1788,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1789,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1790,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1791,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1792,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1793,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1794,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1795,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(1796,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(1797,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1798,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1799,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1800,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1801,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1802,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1803,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1804,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1805,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1806,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1807,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1808,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1809,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1810,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1811,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1812,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1813,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1814,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1815,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1816,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1817,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1818,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
!= use )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(1819,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)],[1775]) ).
thf(1820,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)],[1796]) ).
thf(1821,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1779]) ).
thf(1822,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1798]) ).
thf(1823,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1799]) ).
thf(1824,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)],[1778]) ).
thf(1825,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1797]) ).
thf(1826,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)],[1795]) ).
thf(1827,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)],[1777]) ).
thf(1828,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1800]) ).
thf(1829,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)],[1774]) ).
thf(1830,plain,
! [SV263: $i] :
( ( ! [SY483: $i,SY484: $i] :
( ( a_select2 @ ( tptp_update2 @ SV263 @ SY483 @ SY484 ) @ SY483 )
= SY484 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(1831,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1832,plain,
! [SV264: $i] :
( ( ! [SY485: $i,SY486: $i,SY487: $i,SY488: $i,SY489: $i,SY490: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV264 != SY486 ) )
| ( SY485 != SY487 ) )
| ( ( a_select3 @ SY488 @ SY486 @ SY487 )
!= SY489 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY488 @ SV264 @ SY485 @ SY490 ) @ SY486 @ SY487 )
= SY489 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(1833,plain,
! [SV265: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV265 )
| ~ ( leq @ SV265 @ n5 ) )
| ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 )
| ( SV265 = n4 )
| ( SV265 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1820]) ).
thf(1834,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1835,plain,
! [SV266: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV266 )
| ~ ( leq @ SV266 @ n1 ) )
| ( SV266 = n0 )
| ( SV266 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(1836,plain,
! [SV267: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV267 )
| ~ ( leq @ SV267 @ n2 ) )
| ( SV267 = n0 )
| ( SV267 = n1 )
| ( SV267 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1823]) ).
thf(1837,plain,
! [SV268: $i] :
( ( ! [SY491: $i,SY492: $i,SY493: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY491 ) )
| ( ( a_select2 @ SY492 @ SX4 )
= SY493 ) )
| ~ ( leq @ n0 @ SV268 ) )
| ~ ( leq @ SV268 @ SY491 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY492 @ SY491 @ SY493 ) @ SV268 )
= SY493 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1824]) ).
thf(1838,plain,
! [SV269: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV269 )
| ~ ( leq @ SV269 @ n0 ) )
| ( SV269 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(1839,plain,
! [SV270: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV270 )
| ~ ( leq @ SV270 @ n4 ) )
| ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 )
| ( SV270 = n3 )
| ( SV270 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1826]) ).
thf(1840,plain,
! [SV271: $i] :
( ( ! [SY495: $i,SY496: $i,SY497: $i,SY498: $i] :
( ~ ~ ( ~ ( ( SV271 != SY495 ) )
| ( ( a_select2 @ SY496 @ SY495 )
!= SY497 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY496 @ SV271 @ SY498 ) @ SY495 )
= SY497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(1841,plain,
! [SV272: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV272 )
| ~ ( leq @ SV272 @ n3 ) )
| ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(1842,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)],[1829]) ).
thf(1843,plain,
! [SV274: $i,SV263: $i] :
( ( ! [SY501: $i] :
( ( a_select2 @ ( tptp_update2 @ SV263 @ SV274 @ SY501 ) @ SV274 )
= SY501 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(1844,plain,
! [SV275: $i,SV264: $i] :
( ( ! [SY502: $i,SY503: $i,SY504: $i,SY505: $i,SY506: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV264 != SY502 ) )
| ( SV275 != SY503 ) )
| ( ( a_select3 @ SY504 @ SY502 @ SY503 )
!= SY505 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY504 @ SV264 @ SV275 @ SY506 ) @ SY502 @ SY503 )
= SY505 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(1845,plain,
! [SV265: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV265 )
| ~ ( leq @ SV265 @ n5 ) ) )
= $true )
| ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 )
| ( SV265 = n4 )
| ( SV265 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1833]) ).
thf(1846,plain,
! [SV266: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV266 )
| ~ ( leq @ SV266 @ n1 ) ) )
= $true )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1835]) ).
thf(1847,plain,
! [SV267: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV267 )
| ~ ( leq @ SV267 @ n2 ) ) )
= $true )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 )
| ( SV267 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1836]) ).
thf(1848,plain,
! [SV268: $i,SV276: $i] :
( ( ! [SY507: $i,SY508: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY509: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY509 )
| ~ ( leq @ SY509 @ SV276 ) )
| ( ( a_select2 @ SY507 @ SY509 )
= SY508 ) )
| ~ ( leq @ n0 @ SV268 ) )
| ~ ( leq @ SV268 @ SV276 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY507 @ SV276 @ SY508 ) @ SV268 )
= SY508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1837]) ).
thf(1849,plain,
! [SV269: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV269 )
| ~ ( leq @ SV269 @ n0 ) ) )
= $true )
| ( ( SV269 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1838]) ).
thf(1850,plain,
! [SV270: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV270 )
| ~ ( leq @ SV270 @ n4 ) ) )
= $true )
| ( ( ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 )
| ( SV270 = n3 )
| ( SV270 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1839]) ).
thf(1851,plain,
! [SV277: $i,SV271: $i] :
( ( ! [SY510: $i,SY511: $i,SY512: $i] :
( ~ ~ ( ~ ( ( SV271 != SV277 ) )
| ( ( a_select2 @ SY510 @ SV277 )
!= SY511 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY510 @ SV271 @ SY512 ) @ SV277 )
= SY511 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(1852,plain,
! [SV272: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV272 )
| ~ ( leq @ SV272 @ n3 ) ) )
= $true )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1841]) ).
thf(1853,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)],[1842]) ).
thf(1854,plain,
! [SV279: $i,SV274: $i,SV263: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV263 @ SV274 @ SV279 ) @ SV274 )
= SV279 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1843]) ).
thf(1855,plain,
! [SV275: $i,SV280: $i,SV264: $i] :
( ( ! [SY514: $i,SY515: $i,SY516: $i,SY517: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SY514 ) )
| ( ( a_select3 @ SY515 @ SV280 @ SY514 )
!= SY516 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY515 @ SV264 @ SV275 @ SY517 ) @ SV280 @ SY514 )
= SY516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1844]) ).
thf(1856,plain,
! [SV265: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV265 )
| ~ ( leq @ SV265 @ n5 ) ) )
= $false )
| ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 )
| ( SV265 = n4 )
| ( SV265 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1857,plain,
! [SV266: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV266 )
| ~ ( leq @ SV266 @ n1 ) ) )
= $false )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1846]) ).
thf(1858,plain,
! [SV267: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV267 )
| ~ ( leq @ SV267 @ n2 ) ) )
= $false )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 )
| ( SV267 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1859,plain,
! [SV268: $i,SV281: $i,SV276: $i] :
( ( ! [SY518: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY519: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY519 )
| ~ ( leq @ SY519 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY519 )
= SY518 ) )
| ~ ( leq @ n0 @ SV268 ) )
| ~ ( leq @ SV268 @ SV276 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SY518 ) @ SV268 )
= SY518 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1848]) ).
thf(1860,plain,
! [SV269: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV269 )
| ~ ( leq @ SV269 @ n0 ) ) )
= $false )
| ( ( SV269 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1861,plain,
! [SV270: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV270 )
| ~ ( leq @ SV270 @ n4 ) ) )
= $false )
| ( ( ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 )
| ( SV270 = n3 )
| ( SV270 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1862,plain,
! [SV282: $i,SV277: $i,SV271: $i] :
( ( ! [SY520: $i,SY521: $i] :
( ~ ~ ( ~ ( ( SV271 != SV277 ) )
| ( ( a_select2 @ SV282 @ SV277 )
!= SY520 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SY521 ) @ SV277 )
= SY520 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1851]) ).
thf(1863,plain,
! [SV272: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV272 )
| ~ ( leq @ SV272 @ n3 ) ) )
= $false )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(1864,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)],[1853]) ).
thf(1865,plain,
! [SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ! [SY522: $i,SY523: $i,SY524: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) )
| ( ( a_select3 @ SY522 @ SV280 @ SV284 )
!= SY523 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY522 @ SV264 @ SV275 @ SY524 ) @ SV280 @ SV284 )
= SY523 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(1866,plain,
! [SV265: $i] :
( ( ( ~ ( leq @ n0 @ SV265 )
| ~ ( leq @ SV265 @ n5 ) )
= $true )
| ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 )
| ( SV265 = n4 )
| ( SV265 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1856]) ).
thf(1867,plain,
! [SV266: $i] :
( ( ( ~ ( leq @ n0 @ SV266 )
| ~ ( leq @ SV266 @ n1 ) )
= $true )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1857]) ).
thf(1868,plain,
! [SV267: $i] :
( ( ( ~ ( leq @ n0 @ SV267 )
| ~ ( leq @ SV267 @ n2 ) )
= $true )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 )
| ( SV267 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(1869,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) )
| ~ ( leq @ n0 @ SV268 ) )
| ~ ( leq @ SV268 @ SV276 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1859]) ).
thf(1870,plain,
! [SV269: $i] :
( ( ( ~ ( leq @ n0 @ SV269 )
| ~ ( leq @ SV269 @ n0 ) )
= $true )
| ( ( SV269 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1860]) ).
thf(1871,plain,
! [SV270: $i] :
( ( ( ~ ( leq @ n0 @ SV270 )
| ~ ( leq @ SV270 @ n4 ) )
= $true )
| ( ( ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 )
| ( SV270 = n3 )
| ( SV270 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1861]) ).
thf(1872,plain,
! [SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ! [SY526: $i] :
( ~ ~ ( ~ ( ( SV271 != SV277 ) )
| ( ( a_select2 @ SV282 @ SV277 )
!= SV286 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SY526 ) @ SV277 )
= SV286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(1873,plain,
! [SV272: $i] :
( ( ( ~ ( leq @ n0 @ SV272 )
| ~ ( leq @ SV272 @ n3 ) )
= $true )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(1874,plain,
! [SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ! [SY527: $i,SY528: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) )
| ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SY527 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SY528 ) @ SV280 @ SV284 )
= SY527 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(1875,plain,
! [SV265: $i] :
( ( ( ~ ( leq @ n0 @ SV265 ) )
= $true )
| ( ( ~ ( leq @ SV265 @ n5 ) )
= $true )
| ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 )
| ( SV265 = n4 )
| ( SV265 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1866]) ).
thf(1876,plain,
! [SV266: $i] :
( ( ( ~ ( leq @ n0 @ SV266 ) )
= $true )
| ( ( ~ ( leq @ SV266 @ n1 ) )
= $true )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1867]) ).
thf(1877,plain,
! [SV267: $i] :
( ( ( ~ ( leq @ n0 @ SV267 ) )
= $true )
| ( ( ~ ( leq @ SV267 @ n2 ) )
= $true )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 )
| ( SV267 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1868]) ).
thf(1878,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) )
| ~ ( leq @ n0 @ SV268 ) )
| ~ ( leq @ SV268 @ SV276 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1869]) ).
thf(1879,plain,
! [SV269: $i] :
( ( ( ~ ( leq @ n0 @ SV269 ) )
= $true )
| ( ( ~ ( leq @ SV269 @ n0 ) )
= $true )
| ( ( SV269 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1870]) ).
thf(1880,plain,
! [SV270: $i] :
( ( ( ~ ( leq @ n0 @ SV270 ) )
= $true )
| ( ( ~ ( leq @ SV270 @ n4 ) )
= $true )
| ( ( ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 )
| ( SV270 = n3 )
| ( SV270 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1871]) ).
thf(1881,plain,
! [SV288: $i,SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ~ ~ ( ~ ( ( SV271 != SV277 ) )
| ( ( a_select2 @ SV282 @ SV277 )
!= SV286 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SV288 ) @ SV277 )
= SV286 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(1882,plain,
! [SV272: $i] :
( ( ( ~ ( leq @ n0 @ SV272 ) )
= $true )
| ( ( ~ ( leq @ SV272 @ n3 ) )
= $true )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1873]) ).
thf(1883,plain,
! [SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ! [SY529: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) )
| ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SY529 ) @ SV280 @ SV284 )
= SV289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1874]) ).
thf(1884,plain,
! [SV265: $i] :
( ( ( leq @ n0 @ SV265 )
= $false )
| ( ( ~ ( leq @ SV265 @ n5 ) )
= $true )
| ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 )
| ( SV265 = n4 )
| ( SV265 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(1885,plain,
! [SV266: $i] :
( ( ( leq @ n0 @ SV266 )
= $false )
| ( ( ~ ( leq @ SV266 @ n1 ) )
= $true )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1876]) ).
thf(1886,plain,
! [SV267: $i] :
( ( ( leq @ n0 @ SV267 )
= $false )
| ( ( ~ ( leq @ SV267 @ n2 ) )
= $true )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 )
| ( SV267 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1877]) ).
thf(1887,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) )
| ~ ( leq @ n0 @ SV268 ) )
| ~ ( leq @ SV268 @ SV276 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1878]) ).
thf(1888,plain,
! [SV269: $i] :
( ( ( leq @ n0 @ SV269 )
= $false )
| ( ( ~ ( leq @ SV269 @ n0 ) )
= $true )
| ( ( SV269 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1889,plain,
! [SV270: $i] :
( ( ( leq @ n0 @ SV270 )
= $false )
| ( ( ~ ( leq @ SV270 @ n4 ) )
= $true )
| ( ( ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 )
| ( SV270 = n3 )
| ( SV270 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(1890,plain,
! [SV288: $i,SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ( ( SV271 != SV277 ) )
| ( ( a_select2 @ SV282 @ SV277 )
!= SV286 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SV288 ) @ SV277 )
= SV286 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1881]) ).
thf(1891,plain,
! [SV272: $i] :
( ( ( leq @ n0 @ SV272 )
= $false )
| ( ( ~ ( leq @ SV272 @ n3 ) )
= $true )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(1892,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) )
| ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(1893,plain,
! [SV265: $i] :
( ( ( leq @ SV265 @ n5 )
= $false )
| ( ( leq @ n0 @ SV265 )
= $false )
| ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 )
| ( SV265 = n4 )
| ( SV265 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(1894,plain,
! [SV266: $i] :
( ( ( leq @ SV266 @ n1 )
= $false )
| ( ( leq @ n0 @ SV266 )
= $false )
| ( ( ( SV266 = n0 )
| ( SV266 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1895,plain,
! [SV267: $i] :
( ( ( leq @ SV267 @ n2 )
= $false )
| ( ( leq @ n0 @ SV267 )
= $false )
| ( ( ( SV267 = n0 )
| ( SV267 = n1 )
| ( SV267 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1886]) ).
thf(1896,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) )
| ~ ( leq @ n0 @ SV268 ) )
| ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1887]) ).
thf(1897,plain,
! [SV269: $i] :
( ( ( leq @ SV269 @ n0 )
= $false )
| ( ( leq @ n0 @ SV269 )
= $false )
| ( ( SV269 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1888]) ).
thf(1898,plain,
! [SV270: $i] :
( ( ( leq @ SV270 @ n4 )
= $false )
| ( ( leq @ n0 @ SV270 )
= $false )
| ( ( ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 )
| ( SV270 = n3 )
| ( SV270 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(1899,plain,
! [SV288: $i,SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ( ~ ( ~ ( ( SV271 != SV277 ) )
| ( ( a_select2 @ SV282 @ SV277 )
!= SV286 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SV288 ) @ SV277 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1890]) ).
thf(1900,plain,
! [SV272: $i] :
( ( ( leq @ SV272 @ n3 )
= $false )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 )
| ( SV272 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1891]) ).
thf(1901,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) )
| ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1892]) ).
thf(1902,plain,
! [SV265: $i] :
( ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 )
| ( SV265 = n4 ) )
= $true )
| ( ( SV265 = n5 )
= $true )
| ( ( leq @ n0 @ SV265 )
= $false )
| ( ( leq @ SV265 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1893]) ).
thf(1903,plain,
! [SV266: $i] :
( ( ( SV266 = n0 )
= $true )
| ( ( SV266 = n1 )
= $true )
| ( ( leq @ n0 @ SV266 )
= $false )
| ( ( leq @ SV266 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1894]) ).
thf(1904,plain,
! [SV267: $i] :
( ( ( ( SV267 = n0 )
| ( SV267 = n1 ) )
= $true )
| ( ( SV267 = n2 )
= $true )
| ( ( leq @ n0 @ SV267 )
= $false )
| ( ( leq @ SV267 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1895]) ).
thf(1905,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) )
| ~ ( leq @ n0 @ SV268 ) ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(1906,plain,
! [SV270: $i] :
( ( ( ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 )
| ( SV270 = n3 ) )
= $true )
| ( ( SV270 = n4 )
= $true )
| ( ( leq @ n0 @ SV270 )
= $false )
| ( ( leq @ SV270 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1898]) ).
thf(1907,plain,
! [SV288: $i,SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ( ~ ( ( SV271 != SV277 ) )
| ( ( a_select2 @ SV282 @ SV277 )
!= SV286 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SV288 ) @ SV277 )
= SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(1908,plain,
! [SV272: $i] :
( ( ( ( SV272 = n0 )
| ( SV272 = n1 )
| ( SV272 = n2 ) )
= $true )
| ( ( SV272 = n3 )
= $true )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( leq @ SV272 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1900]) ).
thf(1909,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) )
| ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1901]) ).
thf(1910,plain,
! [SV265: $i] :
( ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 )
| ( SV265 = n3 ) )
= $true )
| ( ( SV265 = n4 )
= $true )
| ( ( SV265 = n5 )
= $true )
| ( ( leq @ n0 @ SV265 )
= $false )
| ( ( leq @ SV265 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1902]) ).
thf(1911,plain,
! [SV267: $i] :
( ( ( SV267 = n0 )
= $true )
| ( ( SV267 = n1 )
= $true )
| ( ( SV267 = n2 )
= $true )
| ( ( leq @ n0 @ SV267 )
= $false )
| ( ( leq @ SV267 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1904]) ).
thf(1912,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ( ~ ( ~ ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) )
| ~ ( leq @ n0 @ SV268 ) ) )
= $false )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(1913,plain,
! [SV270: $i] :
( ( ( ( SV270 = n0 )
| ( SV270 = n1 )
| ( SV270 = n2 ) )
= $true )
| ( ( SV270 = n3 )
= $true )
| ( ( SV270 = n4 )
= $true )
| ( ( leq @ n0 @ SV270 )
= $false )
| ( ( leq @ SV270 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1906]) ).
thf(1914,plain,
! [SV288: $i,SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ( ~ ( ( SV271 != SV277 ) ) )
= $true )
| ( ( ( a_select2 @ SV282 @ SV277 )
!= SV286 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SV288 ) @ SV277 )
= SV286 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1907]) ).
thf(1915,plain,
! [SV272: $i] :
( ( ( ( SV272 = n0 )
| ( SV272 = n1 ) )
= $true )
| ( ( SV272 = n2 )
= $true )
| ( ( SV272 = n3 )
= $true )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( leq @ SV272 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1908]) ).
thf(1916,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) )
| ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1909]) ).
thf(1917,plain,
! [SV265: $i] :
( ( ( ( SV265 = n0 )
| ( SV265 = n1 )
| ( SV265 = n2 ) )
= $true )
| ( ( SV265 = n3 )
= $true )
| ( ( SV265 = n4 )
= $true )
| ( ( SV265 = n5 )
= $true )
| ( ( leq @ n0 @ SV265 )
= $false )
| ( ( leq @ SV265 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1910]) ).
thf(1918,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ( ~ ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) )
| ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1912]) ).
thf(1919,plain,
! [SV270: $i] :
( ( ( ( SV270 = n0 )
| ( SV270 = n1 ) )
= $true )
| ( ( SV270 = n2 )
= $true )
| ( ( SV270 = n3 )
= $true )
| ( ( SV270 = n4 )
= $true )
| ( ( leq @ n0 @ SV270 )
= $false )
| ( ( leq @ SV270 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1913]) ).
thf(1920,plain,
! [SV288: $i,SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ( SV271 != SV277 )
= $false )
| ( ( ( a_select2 @ SV282 @ SV277 )
!= SV286 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SV288 ) @ SV277 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1914]) ).
thf(1921,plain,
! [SV272: $i] :
( ( ( SV272 = n0 )
= $true )
| ( ( SV272 = n1 )
= $true )
| ( ( SV272 = n2 )
= $true )
| ( ( SV272 = n3 )
= $true )
| ( ( leq @ n0 @ SV272 )
= $false )
| ( ( leq @ SV272 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1915]) ).
thf(1922,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( ~ ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) ) )
= $true )
| ( ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1916]) ).
thf(1923,plain,
! [SV265: $i] :
( ( ( ( SV265 = n0 )
| ( SV265 = n1 ) )
= $true )
| ( ( SV265 = n2 )
= $true )
| ( ( SV265 = n3 )
= $true )
| ( ( SV265 = n4 )
= $true )
| ( ( SV265 = n5 )
= $true )
| ( ( leq @ n0 @ SV265 )
= $false )
| ( ( leq @ SV265 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1917]) ).
thf(1924,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ( ~ ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1918]) ).
thf(1925,plain,
! [SV270: $i] :
( ( ( SV270 = n0 )
= $true )
| ( ( SV270 = n1 )
= $true )
| ( ( SV270 = n2 )
= $true )
| ( ( SV270 = n3 )
= $true )
| ( ( SV270 = n4 )
= $true )
| ( ( leq @ n0 @ SV270 )
= $false )
| ( ( leq @ SV270 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1919]) ).
thf(1926,plain,
! [SV288: $i,SV286: $i,SV282: $i,SV277: $i,SV271: $i] :
( ( ( SV271 = SV277 )
= $true )
| ( ( ( a_select2 @ SV282 @ SV277 )
!= SV286 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SV288 ) @ SV277 )
= SV286 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1920]) ).
thf(1927,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( ~ ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) ) )
= $false )
| ( ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(1928,plain,
! [SV265: $i] :
( ( ( SV265 = n0 )
= $true )
| ( ( SV265 = n1 )
= $true )
| ( ( SV265 = n2 )
= $true )
| ( ( SV265 = n3 )
= $true )
| ( ( SV265 = n4 )
= $true )
| ( ( SV265 = n5 )
= $true )
| ( ( leq @ n0 @ SV265 )
= $false )
| ( ( leq @ SV265 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1923]) ).
thf(1929,plain,
! [SV268: $i,SV285: $i,SV281: $i,SV276: $i] :
( ( ( ! [SY525: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY525 )
| ~ ( leq @ SY525 @ SV276 ) )
| ( ( a_select2 @ SV281 @ SY525 )
= SV285 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(1930,plain,
! [SV288: $i,SV271: $i,SV286: $i,SV277: $i,SV282: $i] :
( ( ( ( a_select2 @ SV282 @ SV277 )
= SV286 )
= $false )
| ( ( SV271 = SV277 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV282 @ SV271 @ SV288 ) @ SV277 )
= SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1926]) ).
thf(1931,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( ~ ( ( SV264 != SV280 ) )
| ( SV275 != SV284 ) )
= $true )
| ( ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(1932,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
| ~ ( leq @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) @ SV276 ) )
| ( ( a_select2 @ SV281 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
= SV285 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1929]) ).
thf(1933,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( ~ ( ( SV264 != SV280 ) ) )
= $true )
| ( ( SV275 != SV284 )
= $true )
| ( ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1931]) ).
thf(1934,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
| ~ ( leq @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) @ SV276 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(1935,plain,
! [SV276: $i,SV285: $i,SV268: $i,SV281: $i] :
( ( ( ( a_select2 @ SV281 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
= SV285 )
= $false )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(1936,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( SV264 != SV280 )
= $false )
| ( ( SV275 != SV284 )
= $true )
| ( ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1933]) ).
thf(1937,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
| ~ ( leq @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) @ SV276 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1934]) ).
thf(1938,plain,
! [SV276: $i,SV285: $i,SV281: $i,SV268: $i] :
( ( ( leq @ n0 @ SV268 )
= $false )
| ( ( ( a_select2 @ SV281 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
= SV285 )
= $false )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1935]) ).
thf(1939,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV284: $i,SV275: $i,SV280: $i,SV264: $i] :
( ( ( SV264 = SV280 )
= $true )
| ( ( SV275 != SV284 )
= $true )
| ( ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(1940,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( ~ ( leq @ n0 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
| ~ ( leq @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) @ SV276 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1937]) ).
thf(1941,plain,
! [SV285: $i,SV281: $i,SV276: $i,SV268: $i] :
( ( ( leq @ SV268 @ SV276 )
= $false )
| ( ( ( a_select2 @ SV281 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
= SV285 )
= $false )
| ( ( leq @ n0 @ SV268 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1938]) ).
thf(1942,plain,
! [SV290: $i,SV289: $i,SV287: $i,SV280: $i,SV264: $i,SV284: $i,SV275: $i] :
( ( ( SV275 = SV284 )
= $false )
| ( ( SV264 = SV280 )
= $true )
| ( ( ( a_select3 @ SV287 @ SV280 @ SV284 )
!= SV289 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1939]) ).
thf(1943,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( ~ ( leq @ n0 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1940]) ).
thf(1944,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( ~ ( leq @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) @ SV276 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1940]) ).
thf(1945,plain,
! [SV290: $i,SV275: $i,SV264: $i,SV289: $i,SV284: $i,SV280: $i,SV287: $i] :
( ( ( ( a_select3 @ SV287 @ SV280 @ SV284 )
= SV289 )
= $false )
| ( ( SV264 = SV280 )
= $true )
| ( ( SV275 = SV284 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV287 @ SV264 @ SV275 @ SV290 ) @ SV280 @ SV284 )
= SV289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(1946,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( leq @ n0 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(1947,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( leq @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) @ SV276 )
= $true )
| ( ( ~ ( leq @ n0 @ SV268 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1944]) ).
thf(1948,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( leq @ n0 @ SV268 )
= $false )
| ( ( leq @ n0 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1946]) ).
thf(1949,plain,
! [SV276: $i,SV281: $i,SV285: $i,SV268: $i] :
( ( ( leq @ n0 @ SV268 )
= $false )
| ( ( leq @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) @ SV276 )
= $true )
| ( ( ~ ( leq @ SV268 @ SV276 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1947]) ).
thf(1950,plain,
! [SV281: $i,SV285: $i,SV276: $i,SV268: $i] :
( ( ( leq @ SV268 @ SV276 )
= $false )
| ( ( leq @ n0 @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) )
= $true )
| ( ( leq @ n0 @ SV268 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(1951,plain,
! [SV281: $i,SV285: $i,SV276: $i,SV268: $i] :
( ( ( leq @ SV268 @ SV276 )
= $false )
| ( ( leq @ ( sK10_SY525 @ SV268 @ SV285 @ SV281 @ SV276 ) @ SV276 )
= $true )
| ( ( leq @ n0 @ SV268 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV281 @ SV276 @ SV285 ) @ SV268 )
= SV285 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1949]) ).
thf(1952,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1780,1951,1950,1945,1941,1930,1928,1925,1921,1911,1903,1897,1864,1854,1834,1831,1817,1816,1815,1814,1813,1812,1811,1810,1809,1808,1807,1806,1805,1804,1803,1802,1801,1794,1793,1792,1791,1790,1789,1788,1787,1786,1785,1784,1783,1782,1781]) ).
thf(1953,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(1954,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(1955,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1956,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(1957,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(1958,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1959,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1960,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1961,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1962,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1963,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1964,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1965,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1966,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1967,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1968,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1969,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1970,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1971,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1972,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1973,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1974,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(1975,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(1976,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1977,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1978,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1979,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1980,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1981,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1982,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1983,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1984,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1985,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(1986,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(1987,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(1988,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(1989,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(1990,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(1991,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1992,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1993,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1994,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1995,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1996,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1997,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
!= use )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(1998,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1978]) ).
thf(1999,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)],[1954]) ).
thf(2000,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)],[1957]) ).
thf(2001,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)],[1974]) ).
thf(2002,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)],[1975]) ).
thf(2003,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1976]) ).
thf(2004,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1979]) ).
thf(2005,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)],[1956]) ).
thf(2006,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1977]) ).
thf(2007,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1958]) ).
thf(2008,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)],[1953]) ).
thf(2009,plain,
! [SV292: $i] :
( ( ! [SY533: $i,SY534: $i] :
( ( a_select2 @ ( tptp_update2 @ SV292 @ SY533 @ SY534 ) @ SY533 )
= SY534 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1955]) ).
thf(2010,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1997]) ).
thf(2011,plain,
! [SV293: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV293 )
| ~ ( leq @ SV293 @ n2 ) )
| ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2012,plain,
! [SV294: $i] :
( ( ! [SY535: $i,SY536: $i,SY537: $i,SY538: $i,SY539: $i,SY540: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV294 != SY536 ) )
| ( SY535 != SY537 ) )
| ( ( a_select3 @ SY538 @ SY536 @ SY537 )
!= SY539 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY538 @ SV294 @ SY535 @ SY540 ) @ SY536 @ SY537 )
= SY539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2013,plain,
! [SV295: $i] :
( ( ! [SY541: $i,SY542: $i,SY543: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY541 ) )
| ( ( a_select2 @ SY542 @ SX4 )
= SY543 ) )
| ~ ( leq @ n0 @ SV295 ) )
| ~ ( leq @ SV295 @ SY541 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY542 @ SY541 @ SY543 ) @ SV295 )
= SY543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2014,plain,
! [SV296: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV296 )
| ~ ( leq @ SV296 @ n4 ) )
| ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 )
| ( SV296 = n3 )
| ( SV296 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2001]) ).
thf(2015,plain,
! [SV297: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV297 )
| ~ ( leq @ SV297 @ n5 ) )
| ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 )
| ( SV297 = n4 )
| ( SV297 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2002]) ).
thf(2016,plain,
! [SV298: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV298 )
| ~ ( leq @ SV298 @ n0 ) )
| ( SV298 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2017,plain,
! [SV299: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV299 )
| ~ ( leq @ SV299 @ n3 ) )
| ( SV299 = n0 )
| ( SV299 = n1 )
| ( SV299 = n2 )
| ( SV299 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2018,plain,
! [SV300: $i] :
( ( ! [SY545: $i,SY546: $i,SY547: $i,SY548: $i] :
( ~ ~ ( ~ ( ( SV300 != SY545 ) )
| ( ( a_select2 @ SY546 @ SY545 )
!= SY547 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY546 @ SV300 @ SY548 ) @ SY545 )
= SY547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2019,plain,
! [SV301: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV301 )
| ~ ( leq @ SV301 @ n1 ) )
| ( SV301 = n0 )
| ( SV301 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2020,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2021,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)],[2008]) ).
thf(2022,plain,
! [SV303: $i,SV292: $i] :
( ( ! [SY551: $i] :
( ( a_select2 @ ( tptp_update2 @ SV292 @ SV303 @ SY551 ) @ SV303 )
= SY551 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2009]) ).
thf(2023,plain,
! [SV293: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV293 )
| ~ ( leq @ SV293 @ n2 ) ) )
= $true )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2011]) ).
thf(2024,plain,
! [SV304: $i,SV294: $i] :
( ( ! [SY552: $i,SY553: $i,SY554: $i,SY555: $i,SY556: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV294 != SY552 ) )
| ( SV304 != SY553 ) )
| ( ( a_select3 @ SY554 @ SY552 @ SY553 )
!= SY555 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY554 @ SV294 @ SV304 @ SY556 ) @ SY552 @ SY553 )
= SY555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2025,plain,
! [SV295: $i,SV305: $i] :
( ( ! [SY557: $i,SY558: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY559: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY559 )
| ~ ( leq @ SY559 @ SV305 ) )
| ( ( a_select2 @ SY557 @ SY559 )
= SY558 ) )
| ~ ( leq @ n0 @ SV295 ) )
| ~ ( leq @ SV295 @ SV305 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY557 @ SV305 @ SY558 ) @ SV295 )
= SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2013]) ).
thf(2026,plain,
! [SV296: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV296 )
| ~ ( leq @ SV296 @ n4 ) ) )
= $true )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 )
| ( SV296 = n3 )
| ( SV296 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2014]) ).
thf(2027,plain,
! [SV297: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV297 )
| ~ ( leq @ SV297 @ n5 ) ) )
= $true )
| ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 )
| ( SV297 = n4 )
| ( SV297 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2015]) ).
thf(2028,plain,
! [SV298: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV298 )
| ~ ( leq @ SV298 @ n0 ) ) )
= $true )
| ( ( SV298 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2016]) ).
thf(2029,plain,
! [SV299: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV299 )
| ~ ( leq @ SV299 @ n3 ) ) )
= $true )
| ( ( ( SV299 = n0 )
| ( SV299 = n1 )
| ( SV299 = n2 )
| ( SV299 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2017]) ).
thf(2030,plain,
! [SV306: $i,SV300: $i] :
( ( ! [SY560: $i,SY561: $i,SY562: $i] :
( ~ ~ ( ~ ( ( SV300 != SV306 ) )
| ( ( a_select2 @ SY560 @ SV306 )
!= SY561 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY560 @ SV300 @ SY562 ) @ SV306 )
= SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2031,plain,
! [SV301: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV301 )
| ~ ( leq @ SV301 @ n1 ) ) )
= $true )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2019]) ).
thf(2032,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)],[2021]) ).
thf(2033,plain,
! [SV308: $i,SV303: $i,SV292: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV292 @ SV303 @ SV308 ) @ SV303 )
= SV308 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2034,plain,
! [SV293: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV293 )
| ~ ( leq @ SV293 @ n2 ) ) )
= $false )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2023]) ).
thf(2035,plain,
! [SV304: $i,SV309: $i,SV294: $i] :
( ( ! [SY564: $i,SY565: $i,SY566: $i,SY567: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SY564 ) )
| ( ( a_select3 @ SY565 @ SV309 @ SY564 )
!= SY566 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY565 @ SV294 @ SV304 @ SY567 ) @ SV309 @ SY564 )
= SY566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2024]) ).
thf(2036,plain,
! [SV295: $i,SV310: $i,SV305: $i] :
( ( ! [SY568: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY569: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY569 )
| ~ ( leq @ SY569 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY569 )
= SY568 ) )
| ~ ( leq @ n0 @ SV295 ) )
| ~ ( leq @ SV295 @ SV305 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SY568 ) @ SV295 )
= SY568 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2037,plain,
! [SV296: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV296 )
| ~ ( leq @ SV296 @ n4 ) ) )
= $false )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 )
| ( SV296 = n3 )
| ( SV296 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2026]) ).
thf(2038,plain,
! [SV297: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV297 )
| ~ ( leq @ SV297 @ n5 ) ) )
= $false )
| ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 )
| ( SV297 = n4 )
| ( SV297 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2027]) ).
thf(2039,plain,
! [SV298: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV298 )
| ~ ( leq @ SV298 @ n0 ) ) )
= $false )
| ( ( SV298 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2028]) ).
thf(2040,plain,
! [SV299: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV299 )
| ~ ( leq @ SV299 @ n3 ) ) )
= $false )
| ( ( ( SV299 = n0 )
| ( SV299 = n1 )
| ( SV299 = n2 )
| ( SV299 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2029]) ).
thf(2041,plain,
! [SV311: $i,SV306: $i,SV300: $i] :
( ( ! [SY570: $i,SY571: $i] :
( ~ ~ ( ~ ( ( SV300 != SV306 ) )
| ( ( a_select2 @ SV311 @ SV306 )
!= SY570 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SY571 ) @ SV306 )
= SY570 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2030]) ).
thf(2042,plain,
! [SV301: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV301 )
| ~ ( leq @ SV301 @ n1 ) ) )
= $false )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2043,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)],[2032]) ).
thf(2044,plain,
! [SV293: $i] :
( ( ( ~ ( leq @ n0 @ SV293 )
| ~ ( leq @ SV293 @ n2 ) )
= $true )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2045,plain,
! [SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ! [SY572: $i,SY573: $i,SY574: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) )
| ( ( a_select3 @ SY572 @ SV309 @ SV313 )
!= SY573 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY572 @ SV294 @ SV304 @ SY574 ) @ SV309 @ SV313 )
= SY573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2046,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) )
| ~ ( leq @ n0 @ SV295 ) )
| ~ ( leq @ SV295 @ SV305 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2036]) ).
thf(2047,plain,
! [SV296: $i] :
( ( ( ~ ( leq @ n0 @ SV296 )
| ~ ( leq @ SV296 @ n4 ) )
= $true )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 )
| ( SV296 = n3 )
| ( SV296 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2037]) ).
thf(2048,plain,
! [SV297: $i] :
( ( ( ~ ( leq @ n0 @ SV297 )
| ~ ( leq @ SV297 @ n5 ) )
= $true )
| ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 )
| ( SV297 = n4 )
| ( SV297 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2038]) ).
thf(2049,plain,
! [SV298: $i] :
( ( ( ~ ( leq @ n0 @ SV298 )
| ~ ( leq @ SV298 @ n0 ) )
= $true )
| ( ( SV298 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2039]) ).
thf(2050,plain,
! [SV299: $i] :
( ( ( ~ ( leq @ n0 @ SV299 )
| ~ ( leq @ SV299 @ n3 ) )
= $true )
| ( ( ( SV299 = n0 )
| ( SV299 = n1 )
| ( SV299 = n2 )
| ( SV299 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2051,plain,
! [SV315: $i,SV311: $i,SV306: $i,SV300: $i] :
( ( ! [SY576: $i] :
( ~ ~ ( ~ ( ( SV300 != SV306 ) )
| ( ( a_select2 @ SV311 @ SV306 )
!= SV315 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SY576 ) @ SV306 )
= SV315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2052,plain,
! [SV301: $i] :
( ( ( ~ ( leq @ n0 @ SV301 )
| ~ ( leq @ SV301 @ n1 ) )
= $true )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2053,plain,
! [SV293: $i] :
( ( ( ~ ( leq @ n0 @ SV293 ) )
= $true )
| ( ( ~ ( leq @ SV293 @ n2 ) )
= $true )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2044]) ).
thf(2054,plain,
! [SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ! [SY577: $i,SY578: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) )
| ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SY577 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SY578 ) @ SV309 @ SV313 )
= SY577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2045]) ).
thf(2055,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) )
| ~ ( leq @ n0 @ SV295 ) )
| ~ ( leq @ SV295 @ SV305 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2046]) ).
thf(2056,plain,
! [SV296: $i] :
( ( ( ~ ( leq @ n0 @ SV296 ) )
= $true )
| ( ( ~ ( leq @ SV296 @ n4 ) )
= $true )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 )
| ( SV296 = n3 )
| ( SV296 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2047]) ).
thf(2057,plain,
! [SV297: $i] :
( ( ( ~ ( leq @ n0 @ SV297 ) )
= $true )
| ( ( ~ ( leq @ SV297 @ n5 ) )
= $true )
| ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 )
| ( SV297 = n4 )
| ( SV297 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2048]) ).
thf(2058,plain,
! [SV298: $i] :
( ( ( ~ ( leq @ n0 @ SV298 ) )
= $true )
| ( ( ~ ( leq @ SV298 @ n0 ) )
= $true )
| ( ( SV298 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2049]) ).
thf(2059,plain,
! [SV299: $i] :
( ( ( ~ ( leq @ n0 @ SV299 ) )
= $true )
| ( ( ~ ( leq @ SV299 @ n3 ) )
= $true )
| ( ( ( SV299 = n0 )
| ( SV299 = n1 )
| ( SV299 = n2 )
| ( SV299 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2050]) ).
thf(2060,plain,
! [SV317: $i,SV315: $i,SV311: $i,SV306: $i,SV300: $i] :
( ( ~ ~ ( ~ ( ( SV300 != SV306 ) )
| ( ( a_select2 @ SV311 @ SV306 )
!= SV315 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SV317 ) @ SV306 )
= SV315 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2061,plain,
! [SV301: $i] :
( ( ( ~ ( leq @ n0 @ SV301 ) )
= $true )
| ( ( ~ ( leq @ SV301 @ n1 ) )
= $true )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2052]) ).
thf(2062,plain,
! [SV293: $i] :
( ( ( leq @ n0 @ SV293 )
= $false )
| ( ( ~ ( leq @ SV293 @ n2 ) )
= $true )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2053]) ).
thf(2063,plain,
! [SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ! [SY579: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) )
| ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SY579 ) @ SV309 @ SV313 )
= SV318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2064,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) )
| ~ ( leq @ n0 @ SV295 ) )
| ~ ( leq @ SV295 @ SV305 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2065,plain,
! [SV296: $i] :
( ( ( leq @ n0 @ SV296 )
= $false )
| ( ( ~ ( leq @ SV296 @ n4 ) )
= $true )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 )
| ( SV296 = n3 )
| ( SV296 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2056]) ).
thf(2066,plain,
! [SV297: $i] :
( ( ( leq @ n0 @ SV297 )
= $false )
| ( ( ~ ( leq @ SV297 @ n5 ) )
= $true )
| ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 )
| ( SV297 = n4 )
| ( SV297 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2067,plain,
! [SV298: $i] :
( ( ( leq @ n0 @ SV298 )
= $false )
| ( ( ~ ( leq @ SV298 @ n0 ) )
= $true )
| ( ( SV298 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2068,plain,
! [SV299: $i] :
( ( ( leq @ n0 @ SV299 )
= $false )
| ( ( ~ ( leq @ SV299 @ n3 ) )
= $true )
| ( ( ( SV299 = n0 )
| ( SV299 = n1 )
| ( SV299 = n2 )
| ( SV299 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2069,plain,
! [SV317: $i,SV315: $i,SV311: $i,SV306: $i,SV300: $i] :
( ( ( ~ ~ ( ~ ( ( SV300 != SV306 ) )
| ( ( a_select2 @ SV311 @ SV306 )
!= SV315 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SV317 ) @ SV306 )
= SV315 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2060]) ).
thf(2070,plain,
! [SV301: $i] :
( ( ( leq @ n0 @ SV301 )
= $false )
| ( ( ~ ( leq @ SV301 @ n1 ) )
= $true )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2061]) ).
thf(2071,plain,
! [SV293: $i] :
( ( ( leq @ SV293 @ n2 )
= $false )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( ( SV293 = n0 )
| ( SV293 = n1 )
| ( SV293 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2062]) ).
thf(2072,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) )
| ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2063]) ).
thf(2073,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ( ~ ~ ( ~ ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) )
| ~ ( leq @ n0 @ SV295 ) )
| ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2064]) ).
thf(2074,plain,
! [SV296: $i] :
( ( ( leq @ SV296 @ n4 )
= $false )
| ( ( leq @ n0 @ SV296 )
= $false )
| ( ( ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 )
| ( SV296 = n3 )
| ( SV296 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2075,plain,
! [SV297: $i] :
( ( ( leq @ SV297 @ n5 )
= $false )
| ( ( leq @ n0 @ SV297 )
= $false )
| ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 )
| ( SV297 = n4 )
| ( SV297 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2066]) ).
thf(2076,plain,
! [SV298: $i] :
( ( ( leq @ SV298 @ n0 )
= $false )
| ( ( leq @ n0 @ SV298 )
= $false )
| ( ( SV298 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2077,plain,
! [SV299: $i] :
( ( ( leq @ SV299 @ n3 )
= $false )
| ( ( leq @ n0 @ SV299 )
= $false )
| ( ( ( SV299 = n0 )
| ( SV299 = n1 )
| ( SV299 = n2 )
| ( SV299 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(2078,plain,
! [SV317: $i,SV315: $i,SV311: $i,SV306: $i,SV300: $i] :
( ( ( ~ ( ~ ( ( SV300 != SV306 ) )
| ( ( a_select2 @ SV311 @ SV306 )
!= SV315 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SV317 ) @ SV306 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2069]) ).
thf(2079,plain,
! [SV301: $i] :
( ( ( leq @ SV301 @ n1 )
= $false )
| ( ( leq @ n0 @ SV301 )
= $false )
| ( ( ( SV301 = n0 )
| ( SV301 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2070]) ).
thf(2080,plain,
! [SV293: $i] :
( ( ( ( SV293 = n0 )
| ( SV293 = n1 ) )
= $true )
| ( ( SV293 = n2 )
= $true )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( leq @ SV293 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2081,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) )
| ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2072]) ).
thf(2082,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ( ~ ~ ( ~ ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) )
| ~ ( leq @ n0 @ SV295 ) ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2073]) ).
thf(2083,plain,
! [SV296: $i] :
( ( ( ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 )
| ( SV296 = n3 ) )
= $true )
| ( ( SV296 = n4 )
= $true )
| ( ( leq @ n0 @ SV296 )
= $false )
| ( ( leq @ SV296 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2074]) ).
thf(2084,plain,
! [SV297: $i] :
( ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 )
| ( SV297 = n4 ) )
= $true )
| ( ( SV297 = n5 )
= $true )
| ( ( leq @ n0 @ SV297 )
= $false )
| ( ( leq @ SV297 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2075]) ).
thf(2085,plain,
! [SV299: $i] :
( ( ( ( SV299 = n0 )
| ( SV299 = n1 )
| ( SV299 = n2 ) )
= $true )
| ( ( SV299 = n3 )
= $true )
| ( ( leq @ n0 @ SV299 )
= $false )
| ( ( leq @ SV299 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2077]) ).
thf(2086,plain,
! [SV317: $i,SV315: $i,SV311: $i,SV306: $i,SV300: $i] :
( ( ( ~ ( ( SV300 != SV306 ) )
| ( ( a_select2 @ SV311 @ SV306 )
!= SV315 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SV317 ) @ SV306 )
= SV315 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2078]) ).
thf(2087,plain,
! [SV301: $i] :
( ( ( SV301 = n0 )
= $true )
| ( ( SV301 = n1 )
= $true )
| ( ( leq @ n0 @ SV301 )
= $false )
| ( ( leq @ SV301 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2079]) ).
thf(2088,plain,
! [SV293: $i] :
( ( ( SV293 = n0 )
= $true )
| ( ( SV293 = n1 )
= $true )
| ( ( SV293 = n2 )
= $true )
| ( ( leq @ n0 @ SV293 )
= $false )
| ( ( leq @ SV293 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2080]) ).
thf(2089,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) )
| ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2081]) ).
thf(2090,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ( ~ ( ~ ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) )
| ~ ( leq @ n0 @ SV295 ) ) )
= $false )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2082]) ).
thf(2091,plain,
! [SV296: $i] :
( ( ( ( SV296 = n0 )
| ( SV296 = n1 )
| ( SV296 = n2 ) )
= $true )
| ( ( SV296 = n3 )
= $true )
| ( ( SV296 = n4 )
= $true )
| ( ( leq @ n0 @ SV296 )
= $false )
| ( ( leq @ SV296 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2083]) ).
thf(2092,plain,
! [SV297: $i] :
( ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 )
| ( SV297 = n3 ) )
= $true )
| ( ( SV297 = n4 )
= $true )
| ( ( SV297 = n5 )
= $true )
| ( ( leq @ n0 @ SV297 )
= $false )
| ( ( leq @ SV297 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2084]) ).
thf(2093,plain,
! [SV299: $i] :
( ( ( ( SV299 = n0 )
| ( SV299 = n1 ) )
= $true )
| ( ( SV299 = n2 )
= $true )
| ( ( SV299 = n3 )
= $true )
| ( ( leq @ n0 @ SV299 )
= $false )
| ( ( leq @ SV299 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2085]) ).
thf(2094,plain,
! [SV317: $i,SV315: $i,SV311: $i,SV306: $i,SV300: $i] :
( ( ( ~ ( ( SV300 != SV306 ) ) )
= $true )
| ( ( ( a_select2 @ SV311 @ SV306 )
!= SV315 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SV317 ) @ SV306 )
= SV315 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2086]) ).
thf(2095,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) )
| ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2096,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ( ~ ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) )
| ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2090]) ).
thf(2097,plain,
! [SV296: $i] :
( ( ( ( SV296 = n0 )
| ( SV296 = n1 ) )
= $true )
| ( ( SV296 = n2 )
= $true )
| ( ( SV296 = n3 )
= $true )
| ( ( SV296 = n4 )
= $true )
| ( ( leq @ n0 @ SV296 )
= $false )
| ( ( leq @ SV296 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2091]) ).
thf(2098,plain,
! [SV297: $i] :
( ( ( ( SV297 = n0 )
| ( SV297 = n1 )
| ( SV297 = n2 ) )
= $true )
| ( ( SV297 = n3 )
= $true )
| ( ( SV297 = n4 )
= $true )
| ( ( SV297 = n5 )
= $true )
| ( ( leq @ n0 @ SV297 )
= $false )
| ( ( leq @ SV297 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2092]) ).
thf(2099,plain,
! [SV299: $i] :
( ( ( SV299 = n0 )
= $true )
| ( ( SV299 = n1 )
= $true )
| ( ( SV299 = n2 )
= $true )
| ( ( SV299 = n3 )
= $true )
| ( ( leq @ n0 @ SV299 )
= $false )
| ( ( leq @ SV299 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2093]) ).
thf(2100,plain,
! [SV317: $i,SV315: $i,SV311: $i,SV306: $i,SV300: $i] :
( ( ( SV300 != SV306 )
= $false )
| ( ( ( a_select2 @ SV311 @ SV306 )
!= SV315 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SV317 ) @ SV306 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2094]) ).
thf(2101,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( ~ ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) ) )
= $true )
| ( ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2095]) ).
thf(2102,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ( ~ ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2096]) ).
thf(2103,plain,
! [SV296: $i] :
( ( ( SV296 = n0 )
= $true )
| ( ( SV296 = n1 )
= $true )
| ( ( SV296 = n2 )
= $true )
| ( ( SV296 = n3 )
= $true )
| ( ( SV296 = n4 )
= $true )
| ( ( leq @ n0 @ SV296 )
= $false )
| ( ( leq @ SV296 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2097]) ).
thf(2104,plain,
! [SV297: $i] :
( ( ( ( SV297 = n0 )
| ( SV297 = n1 ) )
= $true )
| ( ( SV297 = n2 )
= $true )
| ( ( SV297 = n3 )
= $true )
| ( ( SV297 = n4 )
= $true )
| ( ( SV297 = n5 )
= $true )
| ( ( leq @ n0 @ SV297 )
= $false )
| ( ( leq @ SV297 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2105,plain,
! [SV317: $i,SV315: $i,SV311: $i,SV306: $i,SV300: $i] :
( ( ( SV300 = SV306 )
= $true )
| ( ( ( a_select2 @ SV311 @ SV306 )
!= SV315 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SV317 ) @ SV306 )
= SV315 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2100]) ).
thf(2106,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( ~ ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) ) )
= $false )
| ( ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2101]) ).
thf(2107,plain,
! [SV295: $i,SV314: $i,SV310: $i,SV305: $i] :
( ( ( ! [SY575: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY575 )
| ~ ( leq @ SY575 @ SV305 ) )
| ( ( a_select2 @ SV310 @ SY575 )
= SV314 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2102]) ).
thf(2108,plain,
! [SV297: $i] :
( ( ( SV297 = n0 )
= $true )
| ( ( SV297 = n1 )
= $true )
| ( ( SV297 = n2 )
= $true )
| ( ( SV297 = n3 )
= $true )
| ( ( SV297 = n4 )
= $true )
| ( ( SV297 = n5 )
= $true )
| ( ( leq @ n0 @ SV297 )
= $false )
| ( ( leq @ SV297 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2104]) ).
thf(2109,plain,
! [SV317: $i,SV300: $i,SV315: $i,SV306: $i,SV311: $i] :
( ( ( ( a_select2 @ SV311 @ SV306 )
= SV315 )
= $false )
| ( ( SV300 = SV306 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV311 @ SV300 @ SV317 ) @ SV306 )
= SV315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2105]) ).
thf(2110,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( ~ ( ( SV294 != SV309 ) )
| ( SV304 != SV313 ) )
= $true )
| ( ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2106]) ).
thf(2111,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
| ~ ( leq @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) @ SV305 ) )
| ( ( a_select2 @ SV310 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
= SV314 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2107]) ).
thf(2112,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( ~ ( ( SV294 != SV309 ) ) )
= $true )
| ( ( SV304 != SV313 )
= $true )
| ( ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2110]) ).
thf(2113,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
| ~ ( leq @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) @ SV305 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2111]) ).
thf(2114,plain,
! [SV305: $i,SV314: $i,SV295: $i,SV310: $i] :
( ( ( ( a_select2 @ SV310 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
= SV314 )
= $false )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2111]) ).
thf(2115,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( SV294 != SV309 )
= $false )
| ( ( SV304 != SV313 )
= $true )
| ( ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2112]) ).
thf(2116,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
| ~ ( leq @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) @ SV305 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2113]) ).
thf(2117,plain,
! [SV305: $i,SV314: $i,SV310: $i,SV295: $i] :
( ( ( leq @ n0 @ SV295 )
= $false )
| ( ( ( a_select2 @ SV310 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
= SV314 )
= $false )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2118,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV313: $i,SV304: $i,SV309: $i,SV294: $i] :
( ( ( SV294 = SV309 )
= $true )
| ( ( SV304 != SV313 )
= $true )
| ( ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2115]) ).
thf(2119,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( ~ ( leq @ n0 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
| ~ ( leq @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) @ SV305 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2116]) ).
thf(2120,plain,
! [SV314: $i,SV310: $i,SV305: $i,SV295: $i] :
( ( ( leq @ SV295 @ SV305 )
= $false )
| ( ( ( a_select2 @ SV310 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
= SV314 )
= $false )
| ( ( leq @ n0 @ SV295 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2121,plain,
! [SV319: $i,SV318: $i,SV316: $i,SV309: $i,SV294: $i,SV313: $i,SV304: $i] :
( ( ( SV304 = SV313 )
= $false )
| ( ( SV294 = SV309 )
= $true )
| ( ( ( a_select3 @ SV316 @ SV309 @ SV313 )
!= SV318 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2122,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( ~ ( leq @ n0 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2123,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( ~ ( leq @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) @ SV305 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2124,plain,
! [SV319: $i,SV304: $i,SV294: $i,SV318: $i,SV313: $i,SV309: $i,SV316: $i] :
( ( ( ( a_select3 @ SV316 @ SV309 @ SV313 )
= SV318 )
= $false )
| ( ( SV294 = SV309 )
= $true )
| ( ( SV304 = SV313 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV316 @ SV294 @ SV304 @ SV319 ) @ SV309 @ SV313 )
= SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2125,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( leq @ n0 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2122]) ).
thf(2126,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( leq @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) @ SV305 )
= $true )
| ( ( ~ ( leq @ n0 @ SV295 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2123]) ).
thf(2127,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( leq @ n0 @ SV295 )
= $false )
| ( ( leq @ n0 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2128,plain,
! [SV305: $i,SV310: $i,SV314: $i,SV295: $i] :
( ( ( leq @ n0 @ SV295 )
= $false )
| ( ( leq @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) @ SV305 )
= $true )
| ( ( ~ ( leq @ SV295 @ SV305 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2129,plain,
! [SV310: $i,SV314: $i,SV305: $i,SV295: $i] :
( ( ( leq @ SV295 @ SV305 )
= $false )
| ( ( leq @ n0 @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) )
= $true )
| ( ( leq @ n0 @ SV295 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2127]) ).
thf(2130,plain,
! [SV310: $i,SV314: $i,SV305: $i,SV295: $i] :
( ( ( leq @ SV295 @ SV305 )
= $false )
| ( ( leq @ ( sK11_SY575 @ SV295 @ SV314 @ SV310 @ SV305 ) @ SV305 )
= $true )
| ( ( leq @ n0 @ SV295 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV310 @ SV305 @ SV314 ) @ SV295 )
= SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2128]) ).
thf(2131,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1959,2130,2129,2124,2120,2109,2108,2103,2099,2088,2087,2076,2043,2033,2020,2010,1996,1995,1994,1993,1992,1991,1990,1989,1988,1987,1986,1985,1984,1983,1982,1981,1980,1973,1972,1971,1970,1969,1968,1967,1966,1965,1964,1963,1962,1961,1960]) ).
thf(2132,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(2133,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(2134,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2135,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(2136,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(2137,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2138,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2139,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2140,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2141,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2142,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2143,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2144,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2145,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2146,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2147,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2148,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2149,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2150,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2151,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2152,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2153,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(2154,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(2155,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2156,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2157,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2158,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2159,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2160,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2161,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2162,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2163,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2164,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2165,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2166,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2167,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2168,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2169,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2170,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2171,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2172,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2173,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2174,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2175,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2176,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
!= use )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(2177,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)],[2136]) ).
thf(2178,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2137]) ).
thf(2179,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2158]) ).
thf(2180,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2156]) ).
thf(2181,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)],[2135]) ).
thf(2182,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)],[2154]) ).
thf(2183,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2157]) ).
thf(2184,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2155]) ).
thf(2185,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)],[2133]) ).
thf(2186,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)],[2153]) ).
thf(2187,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)],[2132]) ).
thf(2188,plain,
! [SV321: $i] :
( ( ! [SY583: $i,SY584: $i] :
( ( a_select2 @ ( tptp_update2 @ SV321 @ SY583 @ SY584 ) @ SY583 )
= SY584 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2134]) ).
thf(2189,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2190,plain,
! [SV322: $i] :
( ( ! [SY585: $i,SY586: $i,SY587: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY585 ) )
| ( ( a_select2 @ SY586 @ SX4 )
= SY587 ) )
| ~ ( leq @ n0 @ SV322 ) )
| ~ ( leq @ SV322 @ SY585 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY586 @ SY585 @ SY587 ) @ SV322 )
= SY587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2191,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2178]) ).
thf(2192,plain,
! [SV323: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV323 )
| ~ ( leq @ SV323 @ n3 ) )
| ( SV323 = n0 )
| ( SV323 = n1 )
| ( SV323 = n2 )
| ( SV323 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2179]) ).
thf(2193,plain,
! [SV324: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV324 )
| ~ ( leq @ SV324 @ n1 ) )
| ( SV324 = n0 )
| ( SV324 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2180]) ).
thf(2194,plain,
! [SV325: $i] :
( ( ! [SY589: $i,SY590: $i,SY591: $i,SY592: $i] :
( ~ ~ ( ~ ( ( SV325 != SY589 ) )
| ( ( a_select2 @ SY590 @ SY589 )
!= SY591 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY590 @ SV325 @ SY592 ) @ SY589 )
= SY591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2195,plain,
! [SV326: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV326 )
| ~ ( leq @ SV326 @ n5 ) )
| ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 )
| ( SV326 = n4 )
| ( SV326 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2182]) ).
thf(2196,plain,
! [SV327: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV327 )
| ~ ( leq @ SV327 @ n2 ) )
| ( SV327 = n0 )
| ( SV327 = n1 )
| ( SV327 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2183]) ).
thf(2197,plain,
! [SV328: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV328 )
| ~ ( leq @ SV328 @ n0 ) )
| ( SV328 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2198,plain,
! [SV329: $i] :
( ( ! [SY593: $i,SY594: $i,SY595: $i,SY596: $i,SY597: $i,SY598: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV329 != SY594 ) )
| ( SY593 != SY595 ) )
| ( ( a_select3 @ SY596 @ SY594 @ SY595 )
!= SY597 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY596 @ SV329 @ SY593 @ SY598 ) @ SY594 @ SY595 )
= SY597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2185]) ).
thf(2199,plain,
! [SV330: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV330 )
| ~ ( leq @ SV330 @ n4 ) )
| ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 )
| ( SV330 = n3 )
| ( SV330 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2186]) ).
thf(2200,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)],[2187]) ).
thf(2201,plain,
! [SV332: $i,SV321: $i] :
( ( ! [SY601: $i] :
( ( a_select2 @ ( tptp_update2 @ SV321 @ SV332 @ SY601 ) @ SV332 )
= SY601 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2188]) ).
thf(2202,plain,
! [SV322: $i,SV333: $i] :
( ( ! [SY602: $i,SY603: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY604: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY604 )
| ~ ( leq @ SY604 @ SV333 ) )
| ( ( a_select2 @ SY602 @ SY604 )
= SY603 ) )
| ~ ( leq @ n0 @ SV322 ) )
| ~ ( leq @ SV322 @ SV333 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY602 @ SV333 @ SY603 ) @ SV322 )
= SY603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2203,plain,
! [SV323: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV323 )
| ~ ( leq @ SV323 @ n3 ) ) )
= $true )
| ( ( ( SV323 = n0 )
| ( SV323 = n1 )
| ( SV323 = n2 )
| ( SV323 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2192]) ).
thf(2204,plain,
! [SV324: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV324 )
| ~ ( leq @ SV324 @ n1 ) ) )
= $true )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2193]) ).
thf(2205,plain,
! [SV334: $i,SV325: $i] :
( ( ! [SY605: $i,SY606: $i,SY607: $i] :
( ~ ~ ( ~ ( ( SV325 != SV334 ) )
| ( ( a_select2 @ SY605 @ SV334 )
!= SY606 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY605 @ SV325 @ SY607 ) @ SV334 )
= SY606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2206,plain,
! [SV326: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV326 )
| ~ ( leq @ SV326 @ n5 ) ) )
= $true )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 )
| ( SV326 = n4 )
| ( SV326 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2195]) ).
thf(2207,plain,
! [SV327: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV327 )
| ~ ( leq @ SV327 @ n2 ) ) )
= $true )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 )
| ( SV327 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2196]) ).
thf(2208,plain,
! [SV328: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV328 )
| ~ ( leq @ SV328 @ n0 ) ) )
= $true )
| ( ( SV328 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2197]) ).
thf(2209,plain,
! [SV335: $i,SV329: $i] :
( ( ! [SY608: $i,SY609: $i,SY610: $i,SY611: $i,SY612: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV329 != SY608 ) )
| ( SV335 != SY609 ) )
| ( ( a_select3 @ SY610 @ SY608 @ SY609 )
!= SY611 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY610 @ SV329 @ SV335 @ SY612 ) @ SY608 @ SY609 )
= SY611 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2210,plain,
! [SV330: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV330 )
| ~ ( leq @ SV330 @ n4 ) ) )
= $true )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 )
| ( SV330 = n3 )
| ( SV330 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2199]) ).
thf(2211,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)],[2200]) ).
thf(2212,plain,
! [SV337: $i,SV332: $i,SV321: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV321 @ SV332 @ SV337 ) @ SV332 )
= SV337 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2201]) ).
thf(2213,plain,
! [SV322: $i,SV338: $i,SV333: $i] :
( ( ! [SY614: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY615: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY615 )
| ~ ( leq @ SY615 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY615 )
= SY614 ) )
| ~ ( leq @ n0 @ SV322 ) )
| ~ ( leq @ SV322 @ SV333 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SY614 ) @ SV322 )
= SY614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2202]) ).
thf(2214,plain,
! [SV323: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV323 )
| ~ ( leq @ SV323 @ n3 ) ) )
= $false )
| ( ( ( SV323 = n0 )
| ( SV323 = n1 )
| ( SV323 = n2 )
| ( SV323 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2203]) ).
thf(2215,plain,
! [SV324: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV324 )
| ~ ( leq @ SV324 @ n1 ) ) )
= $false )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2204]) ).
thf(2216,plain,
! [SV339: $i,SV334: $i,SV325: $i] :
( ( ! [SY616: $i,SY617: $i] :
( ~ ~ ( ~ ( ( SV325 != SV334 ) )
| ( ( a_select2 @ SV339 @ SV334 )
!= SY616 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SY617 ) @ SV334 )
= SY616 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2217,plain,
! [SV326: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV326 )
| ~ ( leq @ SV326 @ n5 ) ) )
= $false )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 )
| ( SV326 = n4 )
| ( SV326 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2206]) ).
thf(2218,plain,
! [SV327: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV327 )
| ~ ( leq @ SV327 @ n2 ) ) )
= $false )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 )
| ( SV327 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2207]) ).
thf(2219,plain,
! [SV328: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV328 )
| ~ ( leq @ SV328 @ n0 ) ) )
= $false )
| ( ( SV328 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2208]) ).
thf(2220,plain,
! [SV335: $i,SV340: $i,SV329: $i] :
( ( ! [SY618: $i,SY619: $i,SY620: $i,SY621: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SY618 ) )
| ( ( a_select3 @ SY619 @ SV340 @ SY618 )
!= SY620 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY619 @ SV329 @ SV335 @ SY621 ) @ SV340 @ SY618 )
= SY620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2221,plain,
! [SV330: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV330 )
| ~ ( leq @ SV330 @ n4 ) ) )
= $false )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 )
| ( SV330 = n3 )
| ( SV330 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2210]) ).
thf(2222,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)],[2211]) ).
thf(2223,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV322 ) )
| ~ ( leq @ SV322 @ SV333 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2224,plain,
! [SV323: $i] :
( ( ( ~ ( leq @ n0 @ SV323 )
| ~ ( leq @ SV323 @ n3 ) )
= $true )
| ( ( ( SV323 = n0 )
| ( SV323 = n1 )
| ( SV323 = n2 )
| ( SV323 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2214]) ).
thf(2225,plain,
! [SV324: $i] :
( ( ( ~ ( leq @ n0 @ SV324 )
| ~ ( leq @ SV324 @ n1 ) )
= $true )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2215]) ).
thf(2226,plain,
! [SV343: $i,SV339: $i,SV334: $i,SV325: $i] :
( ( ! [SY623: $i] :
( ~ ~ ( ~ ( ( SV325 != SV334 ) )
| ( ( a_select2 @ SV339 @ SV334 )
!= SV343 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SY623 ) @ SV334 )
= SV343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2227,plain,
! [SV326: $i] :
( ( ( ~ ( leq @ n0 @ SV326 )
| ~ ( leq @ SV326 @ n5 ) )
= $true )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 )
| ( SV326 = n4 )
| ( SV326 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2217]) ).
thf(2228,plain,
! [SV327: $i] :
( ( ( ~ ( leq @ n0 @ SV327 )
| ~ ( leq @ SV327 @ n2 ) )
= $true )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 )
| ( SV327 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2229,plain,
! [SV328: $i] :
( ( ( ~ ( leq @ n0 @ SV328 )
| ~ ( leq @ SV328 @ n0 ) )
= $true )
| ( ( SV328 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2230,plain,
! [SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ! [SY624: $i,SY625: $i,SY626: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) )
| ( ( a_select3 @ SY624 @ SV340 @ SV344 )
!= SY625 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY624 @ SV329 @ SV335 @ SY626 ) @ SV340 @ SV344 )
= SY625 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2220]) ).
thf(2231,plain,
! [SV330: $i] :
( ( ( ~ ( leq @ n0 @ SV330 )
| ~ ( leq @ SV330 @ n4 ) )
= $true )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 )
| ( SV330 = n3 )
| ( SV330 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2232,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV322 ) )
| ~ ( leq @ SV322 @ SV333 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2223]) ).
thf(2233,plain,
! [SV323: $i] :
( ( ( ~ ( leq @ n0 @ SV323 ) )
= $true )
| ( ( ~ ( leq @ SV323 @ n3 ) )
= $true )
| ( ( ( SV323 = n0 )
| ( SV323 = n1 )
| ( SV323 = n2 )
| ( SV323 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2224]) ).
thf(2234,plain,
! [SV324: $i] :
( ( ( ~ ( leq @ n0 @ SV324 ) )
= $true )
| ( ( ~ ( leq @ SV324 @ n1 ) )
= $true )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2225]) ).
thf(2235,plain,
! [SV345: $i,SV343: $i,SV339: $i,SV334: $i,SV325: $i] :
( ( ~ ~ ( ~ ( ( SV325 != SV334 ) )
| ( ( a_select2 @ SV339 @ SV334 )
!= SV343 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SV345 ) @ SV334 )
= SV343 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2226]) ).
thf(2236,plain,
! [SV326: $i] :
( ( ( ~ ( leq @ n0 @ SV326 ) )
= $true )
| ( ( ~ ( leq @ SV326 @ n5 ) )
= $true )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 )
| ( SV326 = n4 )
| ( SV326 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2227]) ).
thf(2237,plain,
! [SV327: $i] :
( ( ( ~ ( leq @ n0 @ SV327 ) )
= $true )
| ( ( ~ ( leq @ SV327 @ n2 ) )
= $true )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 )
| ( SV327 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2228]) ).
thf(2238,plain,
! [SV328: $i] :
( ( ( ~ ( leq @ n0 @ SV328 ) )
= $true )
| ( ( ~ ( leq @ SV328 @ n0 ) )
= $true )
| ( ( SV328 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2229]) ).
thf(2239,plain,
! [SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ! [SY627: $i,SY628: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) )
| ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SY627 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SY628 ) @ SV340 @ SV344 )
= SY627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2240,plain,
! [SV330: $i] :
( ( ( ~ ( leq @ n0 @ SV330 ) )
= $true )
| ( ( ~ ( leq @ SV330 @ n4 ) )
= $true )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 )
| ( SV330 = n3 )
| ( SV330 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2231]) ).
thf(2241,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV322 ) )
| ~ ( leq @ SV322 @ SV333 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2232]) ).
thf(2242,plain,
! [SV323: $i] :
( ( ( leq @ n0 @ SV323 )
= $false )
| ( ( ~ ( leq @ SV323 @ n3 ) )
= $true )
| ( ( ( SV323 = n0 )
| ( SV323 = n1 )
| ( SV323 = n2 )
| ( SV323 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2233]) ).
thf(2243,plain,
! [SV324: $i] :
( ( ( leq @ n0 @ SV324 )
= $false )
| ( ( ~ ( leq @ SV324 @ n1 ) )
= $true )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2234]) ).
thf(2244,plain,
! [SV345: $i,SV343: $i,SV339: $i,SV334: $i,SV325: $i] :
( ( ( ~ ~ ( ~ ( ( SV325 != SV334 ) )
| ( ( a_select2 @ SV339 @ SV334 )
!= SV343 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SV345 ) @ SV334 )
= SV343 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2235]) ).
thf(2245,plain,
! [SV326: $i] :
( ( ( leq @ n0 @ SV326 )
= $false )
| ( ( ~ ( leq @ SV326 @ n5 ) )
= $true )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 )
| ( SV326 = n4 )
| ( SV326 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2236]) ).
thf(2246,plain,
! [SV327: $i] :
( ( ( leq @ n0 @ SV327 )
= $false )
| ( ( ~ ( leq @ SV327 @ n2 ) )
= $true )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 )
| ( SV327 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2237]) ).
thf(2247,plain,
! [SV328: $i] :
( ( ( leq @ n0 @ SV328 )
= $false )
| ( ( ~ ( leq @ SV328 @ n0 ) )
= $true )
| ( ( SV328 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2248,plain,
! [SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ! [SY629: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) )
| ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SY629 ) @ SV340 @ SV344 )
= SV347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2249,plain,
! [SV330: $i] :
( ( ( leq @ n0 @ SV330 )
= $false )
| ( ( ~ ( leq @ SV330 @ n4 ) )
= $true )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 )
| ( SV330 = n3 )
| ( SV330 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2240]) ).
thf(2250,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV322 ) )
| ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2241]) ).
thf(2251,plain,
! [SV323: $i] :
( ( ( leq @ SV323 @ n3 )
= $false )
| ( ( leq @ n0 @ SV323 )
= $false )
| ( ( ( SV323 = n0 )
| ( SV323 = n1 )
| ( SV323 = n2 )
| ( SV323 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2242]) ).
thf(2252,plain,
! [SV324: $i] :
( ( ( leq @ SV324 @ n1 )
= $false )
| ( ( leq @ n0 @ SV324 )
= $false )
| ( ( ( SV324 = n0 )
| ( SV324 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2243]) ).
thf(2253,plain,
! [SV345: $i,SV343: $i,SV339: $i,SV334: $i,SV325: $i] :
( ( ( ~ ( ~ ( ( SV325 != SV334 ) )
| ( ( a_select2 @ SV339 @ SV334 )
!= SV343 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SV345 ) @ SV334 )
= SV343 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2254,plain,
! [SV326: $i] :
( ( ( leq @ SV326 @ n5 )
= $false )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 )
| ( SV326 = n4 )
| ( SV326 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2245]) ).
thf(2255,plain,
! [SV327: $i] :
( ( ( leq @ SV327 @ n2 )
= $false )
| ( ( leq @ n0 @ SV327 )
= $false )
| ( ( ( SV327 = n0 )
| ( SV327 = n1 )
| ( SV327 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2246]) ).
thf(2256,plain,
! [SV328: $i] :
( ( ( leq @ SV328 @ n0 )
= $false )
| ( ( leq @ n0 @ SV328 )
= $false )
| ( ( SV328 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2247]) ).
thf(2257,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) )
| ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2258,plain,
! [SV330: $i] :
( ( ( leq @ SV330 @ n4 )
= $false )
| ( ( leq @ n0 @ SV330 )
= $false )
| ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 )
| ( SV330 = n3 )
| ( SV330 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2249]) ).
thf(2259,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV322 ) ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2250]) ).
thf(2260,plain,
! [SV323: $i] :
( ( ( ( SV323 = n0 )
| ( SV323 = n1 )
| ( SV323 = n2 ) )
= $true )
| ( ( SV323 = n3 )
= $true )
| ( ( leq @ n0 @ SV323 )
= $false )
| ( ( leq @ SV323 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2251]) ).
thf(2261,plain,
! [SV324: $i] :
( ( ( SV324 = n0 )
= $true )
| ( ( SV324 = n1 )
= $true )
| ( ( leq @ n0 @ SV324 )
= $false )
| ( ( leq @ SV324 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2252]) ).
thf(2262,plain,
! [SV345: $i,SV343: $i,SV339: $i,SV334: $i,SV325: $i] :
( ( ( ~ ( ( SV325 != SV334 ) )
| ( ( a_select2 @ SV339 @ SV334 )
!= SV343 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SV345 ) @ SV334 )
= SV343 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2263,plain,
! [SV326: $i] :
( ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 )
| ( SV326 = n4 ) )
= $true )
| ( ( SV326 = n5 )
= $true )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( leq @ SV326 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2254]) ).
thf(2264,plain,
! [SV327: $i] :
( ( ( ( SV327 = n0 )
| ( SV327 = n1 ) )
= $true )
| ( ( SV327 = n2 )
= $true )
| ( ( leq @ n0 @ SV327 )
= $false )
| ( ( leq @ SV327 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2255]) ).
thf(2265,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) )
| ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2257]) ).
thf(2266,plain,
! [SV330: $i] :
( ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 )
| ( SV330 = n3 ) )
= $true )
| ( ( SV330 = n4 )
= $true )
| ( ( leq @ n0 @ SV330 )
= $false )
| ( ( leq @ SV330 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2258]) ).
thf(2267,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV322 ) ) )
= $false )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2268,plain,
! [SV323: $i] :
( ( ( ( SV323 = n0 )
| ( SV323 = n1 ) )
= $true )
| ( ( SV323 = n2 )
= $true )
| ( ( SV323 = n3 )
= $true )
| ( ( leq @ n0 @ SV323 )
= $false )
| ( ( leq @ SV323 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2260]) ).
thf(2269,plain,
! [SV345: $i,SV343: $i,SV339: $i,SV334: $i,SV325: $i] :
( ( ( ~ ( ( SV325 != SV334 ) ) )
= $true )
| ( ( ( a_select2 @ SV339 @ SV334 )
!= SV343 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SV345 ) @ SV334 )
= SV343 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2262]) ).
thf(2270,plain,
! [SV326: $i] :
( ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 )
| ( SV326 = n3 ) )
= $true )
| ( ( SV326 = n4 )
= $true )
| ( ( SV326 = n5 )
= $true )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( leq @ SV326 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2263]) ).
thf(2271,plain,
! [SV327: $i] :
( ( ( SV327 = n0 )
= $true )
| ( ( SV327 = n1 )
= $true )
| ( ( SV327 = n2 )
= $true )
| ( ( leq @ n0 @ SV327 )
= $false )
| ( ( leq @ SV327 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2264]) ).
thf(2272,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) )
| ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2273,plain,
! [SV330: $i] :
( ( ( ( SV330 = n0 )
| ( SV330 = n1 )
| ( SV330 = n2 ) )
= $true )
| ( ( SV330 = n3 )
= $true )
| ( ( SV330 = n4 )
= $true )
| ( ( leq @ n0 @ SV330 )
= $false )
| ( ( leq @ SV330 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2266]) ).
thf(2274,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) )
| ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2267]) ).
thf(2275,plain,
! [SV323: $i] :
( ( ( SV323 = n0 )
= $true )
| ( ( SV323 = n1 )
= $true )
| ( ( SV323 = n2 )
= $true )
| ( ( SV323 = n3 )
= $true )
| ( ( leq @ n0 @ SV323 )
= $false )
| ( ( leq @ SV323 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2268]) ).
thf(2276,plain,
! [SV345: $i,SV343: $i,SV339: $i,SV334: $i,SV325: $i] :
( ( ( SV325 != SV334 )
= $false )
| ( ( ( a_select2 @ SV339 @ SV334 )
!= SV343 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SV345 ) @ SV334 )
= SV343 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2269]) ).
thf(2277,plain,
! [SV326: $i] :
( ( ( ( SV326 = n0 )
| ( SV326 = n1 )
| ( SV326 = n2 ) )
= $true )
| ( ( SV326 = n3 )
= $true )
| ( ( SV326 = n4 )
= $true )
| ( ( SV326 = n5 )
= $true )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( leq @ SV326 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2270]) ).
thf(2278,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) )
| ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2272]) ).
thf(2279,plain,
! [SV330: $i] :
( ( ( ( SV330 = n0 )
| ( SV330 = n1 ) )
= $true )
| ( ( SV330 = n2 )
= $true )
| ( ( SV330 = n3 )
= $true )
| ( ( SV330 = n4 )
= $true )
| ( ( leq @ n0 @ SV330 )
= $false )
| ( ( leq @ SV330 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2273]) ).
thf(2280,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ~ ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2274]) ).
thf(2281,plain,
! [SV345: $i,SV343: $i,SV339: $i,SV334: $i,SV325: $i] :
( ( ( SV325 = SV334 )
= $true )
| ( ( ( a_select2 @ SV339 @ SV334 )
!= SV343 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SV345 ) @ SV334 )
= SV343 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2276]) ).
thf(2282,plain,
! [SV326: $i] :
( ( ( ( SV326 = n0 )
| ( SV326 = n1 ) )
= $true )
| ( ( SV326 = n2 )
= $true )
| ( ( SV326 = n3 )
= $true )
| ( ( SV326 = n4 )
= $true )
| ( ( SV326 = n5 )
= $true )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( leq @ SV326 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2277]) ).
thf(2283,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( ~ ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) ) )
= $true )
| ( ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2278]) ).
thf(2284,plain,
! [SV330: $i] :
( ( ( SV330 = n0 )
= $true )
| ( ( SV330 = n1 )
= $true )
| ( ( SV330 = n2 )
= $true )
| ( ( SV330 = n3 )
= $true )
| ( ( SV330 = n4 )
= $true )
| ( ( leq @ n0 @ SV330 )
= $false )
| ( ( leq @ SV330 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2279]) ).
thf(2285,plain,
! [SV322: $i,SV342: $i,SV338: $i,SV333: $i] :
( ( ( ! [SY622: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY622 )
| ~ ( leq @ SY622 @ SV333 ) )
| ( ( a_select2 @ SV338 @ SY622 )
= SV342 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2286,plain,
! [SV345: $i,SV325: $i,SV343: $i,SV334: $i,SV339: $i] :
( ( ( ( a_select2 @ SV339 @ SV334 )
= SV343 )
= $false )
| ( ( SV325 = SV334 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV339 @ SV325 @ SV345 ) @ SV334 )
= SV343 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2281]) ).
thf(2287,plain,
! [SV326: $i] :
( ( ( SV326 = n0 )
= $true )
| ( ( SV326 = n1 )
= $true )
| ( ( SV326 = n2 )
= $true )
| ( ( SV326 = n3 )
= $true )
| ( ( SV326 = n4 )
= $true )
| ( ( SV326 = n5 )
= $true )
| ( ( leq @ n0 @ SV326 )
= $false )
| ( ( leq @ SV326 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2282]) ).
thf(2288,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( ~ ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) ) )
= $false )
| ( ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2289,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
| ~ ( leq @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) @ SV333 ) )
| ( ( a_select2 @ SV338 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
= SV342 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2285]) ).
thf(2290,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( ~ ( ( SV329 != SV340 ) )
| ( SV335 != SV344 ) )
= $true )
| ( ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2288]) ).
thf(2291,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
| ~ ( leq @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) @ SV333 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2289]) ).
thf(2292,plain,
! [SV333: $i,SV342: $i,SV322: $i,SV338: $i] :
( ( ( ( a_select2 @ SV338 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
= SV342 )
= $false )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2289]) ).
thf(2293,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( ~ ( ( SV329 != SV340 ) ) )
= $true )
| ( ( SV335 != SV344 )
= $true )
| ( ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2290]) ).
thf(2294,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
| ~ ( leq @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) @ SV333 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2295,plain,
! [SV333: $i,SV342: $i,SV338: $i,SV322: $i] :
( ( ( leq @ n0 @ SV322 )
= $false )
| ( ( ( a_select2 @ SV338 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
= SV342 )
= $false )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2296,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( SV329 != SV340 )
= $false )
| ( ( SV335 != SV344 )
= $true )
| ( ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2293]) ).
thf(2297,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
| ~ ( leq @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) @ SV333 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2298,plain,
! [SV342: $i,SV338: $i,SV333: $i,SV322: $i] :
( ( ( leq @ SV322 @ SV333 )
= $false )
| ( ( ( a_select2 @ SV338 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
= SV342 )
= $false )
| ( ( leq @ n0 @ SV322 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2299,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV344: $i,SV335: $i,SV340: $i,SV329: $i] :
( ( ( SV329 = SV340 )
= $true )
| ( ( SV335 != SV344 )
= $true )
| ( ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2296]) ).
thf(2300,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( ~ ( leq @ n0 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2297]) ).
thf(2301,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( ~ ( leq @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) @ SV333 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2297]) ).
thf(2302,plain,
! [SV348: $i,SV347: $i,SV346: $i,SV340: $i,SV329: $i,SV344: $i,SV335: $i] :
( ( ( SV335 = SV344 )
= $false )
| ( ( SV329 = SV340 )
= $true )
| ( ( ( a_select3 @ SV346 @ SV340 @ SV344 )
!= SV347 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2303,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( leq @ n0 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2300]) ).
thf(2304,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( leq @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) @ SV333 )
= $true )
| ( ( ~ ( leq @ n0 @ SV322 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2301]) ).
thf(2305,plain,
! [SV348: $i,SV335: $i,SV329: $i,SV347: $i,SV344: $i,SV340: $i,SV346: $i] :
( ( ( ( a_select3 @ SV346 @ SV340 @ SV344 )
= SV347 )
= $false )
| ( ( SV329 = SV340 )
= $true )
| ( ( SV335 = SV344 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV346 @ SV329 @ SV335 @ SV348 ) @ SV340 @ SV344 )
= SV347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2306,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( leq @ n0 @ SV322 )
= $false )
| ( ( leq @ n0 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2307,plain,
! [SV333: $i,SV338: $i,SV342: $i,SV322: $i] :
( ( ( leq @ n0 @ SV322 )
= $false )
| ( ( leq @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) @ SV333 )
= $true )
| ( ( ~ ( leq @ SV322 @ SV333 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2308,plain,
! [SV338: $i,SV342: $i,SV333: $i,SV322: $i] :
( ( ( leq @ SV322 @ SV333 )
= $false )
| ( ( leq @ n0 @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) )
= $true )
| ( ( leq @ n0 @ SV322 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2306]) ).
thf(2309,plain,
! [SV338: $i,SV342: $i,SV333: $i,SV322: $i] :
( ( ( leq @ SV322 @ SV333 )
= $false )
| ( ( leq @ ( sK12_SY622 @ SV322 @ SV342 @ SV338 @ SV333 ) @ SV333 )
= $true )
| ( ( leq @ n0 @ SV322 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV338 @ SV333 @ SV342 ) @ SV322 )
= SV342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2307]) ).
thf(2310,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2138,2309,2308,2305,2298,2287,2286,2284,2275,2271,2261,2256,2222,2212,2191,2189,2175,2174,2173,2172,2171,2170,2169,2168,2167,2166,2165,2164,2163,2162,2161,2160,2159,2152,2151,2150,2149,2148,2147,2146,2145,2144,2143,2142,2141,2140,2139]) ).
thf(2311,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(2312,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(2313,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2314,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(2315,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(2316,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2317,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2318,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2319,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2320,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2321,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2322,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2323,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2324,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2325,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2326,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2327,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2328,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2329,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2330,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2331,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2332,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(2333,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(2334,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2335,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2336,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2337,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2338,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2339,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2340,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2341,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2342,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2343,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2344,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2345,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2346,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2347,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2348,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2349,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2350,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2351,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2352,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2353,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2354,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2355,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(2356,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)],[2314]) ).
thf(2357,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)],[2315]) ).
thf(2358,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2335]) ).
thf(2359,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)],[2333]) ).
thf(2360,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)],[2332]) ).
thf(2361,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2316]) ).
thf(2362,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)],[2312]) ).
thf(2363,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2336]) ).
thf(2364,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2337]) ).
thf(2365,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2334]) ).
thf(2366,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)],[2311]) ).
thf(2367,plain,
! [SV350: $i] :
( ( ! [SY633: $i,SY634: $i] :
( ( a_select2 @ ( tptp_update2 @ SV350 @ SY633 @ SY634 ) @ SY633 )
= SY634 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2313]) ).
thf(2368,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2369,plain,
! [SV351: $i] :
( ( ! [SY635: $i,SY636: $i,SY637: $i,SY638: $i] :
( ~ ~ ( ~ ( ( SV351 != SY635 ) )
| ( ( a_select2 @ SY636 @ SY635 )
!= SY637 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY636 @ SV351 @ SY638 ) @ SY635 )
= SY637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2356]) ).
thf(2370,plain,
! [SV352: $i] :
( ( ! [SY639: $i,SY640: $i,SY641: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY639 ) )
| ( ( a_select2 @ SY640 @ SX4 )
= SY641 ) )
| ~ ( leq @ n0 @ SV352 ) )
| ~ ( leq @ SV352 @ SY639 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY640 @ SY639 @ SY641 ) @ SV352 )
= SY641 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2357]) ).
thf(2371,plain,
! [SV353: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV353 )
| ~ ( leq @ SV353 @ n1 ) )
| ( SV353 = n0 )
| ( SV353 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2358]) ).
thf(2372,plain,
! [SV354: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV354 )
| ~ ( leq @ SV354 @ n5 ) )
| ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 )
| ( SV354 = n4 )
| ( SV354 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2359]) ).
thf(2373,plain,
! [SV355: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV355 )
| ~ ( leq @ SV355 @ n4 ) )
| ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 )
| ( SV355 = n3 )
| ( SV355 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2360]) ).
thf(2374,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2361]) ).
thf(2375,plain,
! [SV356: $i] :
( ( ! [SY643: $i,SY644: $i,SY645: $i,SY646: $i,SY647: $i,SY648: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV356 != SY644 ) )
| ( SY643 != SY645 ) )
| ( ( a_select3 @ SY646 @ SY644 @ SY645 )
!= SY647 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY646 @ SV356 @ SY643 @ SY648 ) @ SY644 @ SY645 )
= SY647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2362]) ).
thf(2376,plain,
! [SV357: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV357 )
| ~ ( leq @ SV357 @ n2 ) )
| ( SV357 = n0 )
| ( SV357 = n1 )
| ( SV357 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2363]) ).
thf(2377,plain,
! [SV358: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV358 )
| ~ ( leq @ SV358 @ n3 ) )
| ( SV358 = n0 )
| ( SV358 = n1 )
| ( SV358 = n2 )
| ( SV358 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2364]) ).
thf(2378,plain,
! [SV359: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV359 )
| ~ ( leq @ SV359 @ n0 ) )
| ( SV359 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2365]) ).
thf(2379,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)],[2366]) ).
thf(2380,plain,
! [SV361: $i,SV350: $i] :
( ( ! [SY651: $i] :
( ( a_select2 @ ( tptp_update2 @ SV350 @ SV361 @ SY651 ) @ SV361 )
= SY651 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2367]) ).
thf(2381,plain,
! [SV362: $i,SV351: $i] :
( ( ! [SY652: $i,SY653: $i,SY654: $i] :
( ~ ~ ( ~ ( ( SV351 != SV362 ) )
| ( ( a_select2 @ SY652 @ SV362 )
!= SY653 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY652 @ SV351 @ SY654 ) @ SV362 )
= SY653 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2369]) ).
thf(2382,plain,
! [SV352: $i,SV363: $i] :
( ( ! [SY655: $i,SY656: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY657: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY657 )
| ~ ( leq @ SY657 @ SV363 ) )
| ( ( a_select2 @ SY655 @ SY657 )
= SY656 ) )
| ~ ( leq @ n0 @ SV352 ) )
| ~ ( leq @ SV352 @ SV363 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY655 @ SV363 @ SY656 ) @ SV352 )
= SY656 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2383,plain,
! [SV353: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV353 )
| ~ ( leq @ SV353 @ n1 ) ) )
= $true )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2371]) ).
thf(2384,plain,
! [SV354: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV354 )
| ~ ( leq @ SV354 @ n5 ) ) )
= $true )
| ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 )
| ( SV354 = n4 )
| ( SV354 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2372]) ).
thf(2385,plain,
! [SV355: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV355 )
| ~ ( leq @ SV355 @ n4 ) ) )
= $true )
| ( ( ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 )
| ( SV355 = n3 )
| ( SV355 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2373]) ).
thf(2386,plain,
! [SV364: $i,SV356: $i] :
( ( ! [SY658: $i,SY659: $i,SY660: $i,SY661: $i,SY662: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV356 != SY658 ) )
| ( SV364 != SY659 ) )
| ( ( a_select3 @ SY660 @ SY658 @ SY659 )
!= SY661 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY660 @ SV356 @ SV364 @ SY662 ) @ SY658 @ SY659 )
= SY661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2375]) ).
thf(2387,plain,
! [SV357: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV357 )
| ~ ( leq @ SV357 @ n2 ) ) )
= $true )
| ( ( ( SV357 = n0 )
| ( SV357 = n1 )
| ( SV357 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2376]) ).
thf(2388,plain,
! [SV358: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV358 )
| ~ ( leq @ SV358 @ n3 ) ) )
= $true )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 )
| ( SV358 = n2 )
| ( SV358 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2377]) ).
thf(2389,plain,
! [SV359: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV359 )
| ~ ( leq @ SV359 @ n0 ) ) )
= $true )
| ( ( SV359 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2378]) ).
thf(2390,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)],[2379]) ).
thf(2391,plain,
! [SV366: $i,SV361: $i,SV350: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV350 @ SV361 @ SV366 ) @ SV361 )
= SV366 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2380]) ).
thf(2392,plain,
! [SV367: $i,SV362: $i,SV351: $i] :
( ( ! [SY664: $i,SY665: $i] :
( ~ ~ ( ~ ( ( SV351 != SV362 ) )
| ( ( a_select2 @ SV367 @ SV362 )
!= SY664 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SY665 ) @ SV362 )
= SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2381]) ).
thf(2393,plain,
! [SV352: $i,SV368: $i,SV363: $i] :
( ( ! [SY666: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY667: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY667 )
| ~ ( leq @ SY667 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY667 )
= SY666 ) )
| ~ ( leq @ n0 @ SV352 ) )
| ~ ( leq @ SV352 @ SV363 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SY666 ) @ SV352 )
= SY666 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2382]) ).
thf(2394,plain,
! [SV353: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV353 )
| ~ ( leq @ SV353 @ n1 ) ) )
= $false )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2383]) ).
thf(2395,plain,
! [SV354: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV354 )
| ~ ( leq @ SV354 @ n5 ) ) )
= $false )
| ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 )
| ( SV354 = n4 )
| ( SV354 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2384]) ).
thf(2396,plain,
! [SV355: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV355 )
| ~ ( leq @ SV355 @ n4 ) ) )
= $false )
| ( ( ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 )
| ( SV355 = n3 )
| ( SV355 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2385]) ).
thf(2397,plain,
! [SV364: $i,SV369: $i,SV356: $i] :
( ( ! [SY668: $i,SY669: $i,SY670: $i,SY671: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SY668 ) )
| ( ( a_select3 @ SY669 @ SV369 @ SY668 )
!= SY670 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY669 @ SV356 @ SV364 @ SY671 ) @ SV369 @ SY668 )
= SY670 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2398,plain,
! [SV357: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV357 )
| ~ ( leq @ SV357 @ n2 ) ) )
= $false )
| ( ( ( SV357 = n0 )
| ( SV357 = n1 )
| ( SV357 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2399,plain,
! [SV358: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV358 )
| ~ ( leq @ SV358 @ n3 ) ) )
= $false )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 )
| ( SV358 = n2 )
| ( SV358 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2388]) ).
thf(2400,plain,
! [SV359: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV359 )
| ~ ( leq @ SV359 @ n0 ) ) )
= $false )
| ( ( SV359 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2389]) ).
thf(2401,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)],[2390]) ).
thf(2402,plain,
! [SV371: $i,SV367: $i,SV362: $i,SV351: $i] :
( ( ! [SY672: $i] :
( ~ ~ ( ~ ( ( SV351 != SV362 ) )
| ( ( a_select2 @ SV367 @ SV362 )
!= SV371 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SY672 ) @ SV362 )
= SV371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2392]) ).
thf(2403,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) )
| ~ ( leq @ n0 @ SV352 ) )
| ~ ( leq @ SV352 @ SV363 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2393]) ).
thf(2404,plain,
! [SV353: $i] :
( ( ( ~ ( leq @ n0 @ SV353 )
| ~ ( leq @ SV353 @ n1 ) )
= $true )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2394]) ).
thf(2405,plain,
! [SV354: $i] :
( ( ( ~ ( leq @ n0 @ SV354 )
| ~ ( leq @ SV354 @ n5 ) )
= $true )
| ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 )
| ( SV354 = n4 )
| ( SV354 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2395]) ).
thf(2406,plain,
! [SV355: $i] :
( ( ( ~ ( leq @ n0 @ SV355 )
| ~ ( leq @ SV355 @ n4 ) )
= $true )
| ( ( ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 )
| ( SV355 = n3 )
| ( SV355 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2396]) ).
thf(2407,plain,
! [SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ! [SY674: $i,SY675: $i,SY676: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SY674 @ SV369 @ SV373 )
!= SY675 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY674 @ SV356 @ SV364 @ SY676 ) @ SV369 @ SV373 )
= SY675 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2397]) ).
thf(2408,plain,
! [SV357: $i] :
( ( ( ~ ( leq @ n0 @ SV357 )
| ~ ( leq @ SV357 @ n2 ) )
= $true )
| ( ( ( SV357 = n0 )
| ( SV357 = n1 )
| ( SV357 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2409,plain,
! [SV358: $i] :
( ( ( ~ ( leq @ n0 @ SV358 )
| ~ ( leq @ SV358 @ n3 ) )
= $true )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 )
| ( SV358 = n2 )
| ( SV358 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2410,plain,
! [SV359: $i] :
( ( ( ~ ( leq @ n0 @ SV359 )
| ~ ( leq @ SV359 @ n0 ) )
= $true )
| ( ( SV359 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2400]) ).
thf(2411,plain,
! [SV374: $i,SV371: $i,SV367: $i,SV362: $i,SV351: $i] :
( ( ~ ~ ( ~ ( ( SV351 != SV362 ) )
| ( ( a_select2 @ SV367 @ SV362 )
!= SV371 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SV374 ) @ SV362 )
= SV371 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2412,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) )
| ~ ( leq @ n0 @ SV352 ) )
| ~ ( leq @ SV352 @ SV363 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2403]) ).
thf(2413,plain,
! [SV353: $i] :
( ( ( ~ ( leq @ n0 @ SV353 ) )
= $true )
| ( ( ~ ( leq @ SV353 @ n1 ) )
= $true )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2404]) ).
thf(2414,plain,
! [SV354: $i] :
( ( ( ~ ( leq @ n0 @ SV354 ) )
= $true )
| ( ( ~ ( leq @ SV354 @ n5 ) )
= $true )
| ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 )
| ( SV354 = n4 )
| ( SV354 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2405]) ).
thf(2415,plain,
! [SV355: $i] :
( ( ( ~ ( leq @ n0 @ SV355 ) )
= $true )
| ( ( ~ ( leq @ SV355 @ n4 ) )
= $true )
| ( ( ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 )
| ( SV355 = n3 )
| ( SV355 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2406]) ).
thf(2416,plain,
! [SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ! [SY677: $i,SY678: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SY677 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SY678 ) @ SV369 @ SV373 )
= SY677 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2407]) ).
thf(2417,plain,
! [SV357: $i] :
( ( ( ~ ( leq @ n0 @ SV357 ) )
= $true )
| ( ( ~ ( leq @ SV357 @ n2 ) )
= $true )
| ( ( ( SV357 = n0 )
| ( SV357 = n1 )
| ( SV357 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2408]) ).
thf(2418,plain,
! [SV358: $i] :
( ( ( ~ ( leq @ n0 @ SV358 ) )
= $true )
| ( ( ~ ( leq @ SV358 @ n3 ) )
= $true )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 )
| ( SV358 = n2 )
| ( SV358 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2409]) ).
thf(2419,plain,
! [SV359: $i] :
( ( ( ~ ( leq @ n0 @ SV359 ) )
= $true )
| ( ( ~ ( leq @ SV359 @ n0 ) )
= $true )
| ( ( SV359 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2410]) ).
thf(2420,plain,
! [SV374: $i,SV371: $i,SV367: $i,SV362: $i,SV351: $i] :
( ( ( ~ ~ ( ~ ( ( SV351 != SV362 ) )
| ( ( a_select2 @ SV367 @ SV362 )
!= SV371 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SV374 ) @ SV362 )
= SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2411]) ).
thf(2421,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) )
| ~ ( leq @ n0 @ SV352 ) )
| ~ ( leq @ SV352 @ SV363 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2412]) ).
thf(2422,plain,
! [SV353: $i] :
( ( ( leq @ n0 @ SV353 )
= $false )
| ( ( ~ ( leq @ SV353 @ n1 ) )
= $true )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2423,plain,
! [SV354: $i] :
( ( ( leq @ n0 @ SV354 )
= $false )
| ( ( ~ ( leq @ SV354 @ n5 ) )
= $true )
| ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 )
| ( SV354 = n4 )
| ( SV354 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2414]) ).
thf(2424,plain,
! [SV355: $i] :
( ( ( leq @ n0 @ SV355 )
= $false )
| ( ( ~ ( leq @ SV355 @ n4 ) )
= $true )
| ( ( ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 )
| ( SV355 = n3 )
| ( SV355 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2415]) ).
thf(2425,plain,
! [SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ! [SY679: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SY679 ) @ SV369 @ SV373 )
= SV376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2416]) ).
thf(2426,plain,
! [SV357: $i] :
( ( ( leq @ n0 @ SV357 )
= $false )
| ( ( ~ ( leq @ SV357 @ n2 ) )
= $true )
| ( ( ( SV357 = n0 )
| ( SV357 = n1 )
| ( SV357 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2427,plain,
! [SV358: $i] :
( ( ( leq @ n0 @ SV358 )
= $false )
| ( ( ~ ( leq @ SV358 @ n3 ) )
= $true )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 )
| ( SV358 = n2 )
| ( SV358 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2418]) ).
thf(2428,plain,
! [SV359: $i] :
( ( ( leq @ n0 @ SV359 )
= $false )
| ( ( ~ ( leq @ SV359 @ n0 ) )
= $true )
| ( ( SV359 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2419]) ).
thf(2429,plain,
! [SV374: $i,SV371: $i,SV367: $i,SV362: $i,SV351: $i] :
( ( ( ~ ( ~ ( ( SV351 != SV362 ) )
| ( ( a_select2 @ SV367 @ SV362 )
!= SV371 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SV374 ) @ SV362 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2420]) ).
thf(2430,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ( ~ ~ ( ~ ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) )
| ~ ( leq @ n0 @ SV352 ) )
| ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2431,plain,
! [SV353: $i] :
( ( ( leq @ SV353 @ n1 )
= $false )
| ( ( leq @ n0 @ SV353 )
= $false )
| ( ( ( SV353 = n0 )
| ( SV353 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2422]) ).
thf(2432,plain,
! [SV354: $i] :
( ( ( leq @ SV354 @ n5 )
= $false )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 )
| ( SV354 = n4 )
| ( SV354 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2423]) ).
thf(2433,plain,
! [SV355: $i] :
( ( ( leq @ SV355 @ n4 )
= $false )
| ( ( leq @ n0 @ SV355 )
= $false )
| ( ( ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 )
| ( SV355 = n3 )
| ( SV355 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2424]) ).
thf(2434,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2425]) ).
thf(2435,plain,
! [SV357: $i] :
( ( ( leq @ SV357 @ n2 )
= $false )
| ( ( leq @ n0 @ SV357 )
= $false )
| ( ( ( SV357 = n0 )
| ( SV357 = n1 )
| ( SV357 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2426]) ).
thf(2436,plain,
! [SV358: $i] :
( ( ( leq @ SV358 @ n3 )
= $false )
| ( ( leq @ n0 @ SV358 )
= $false )
| ( ( ( SV358 = n0 )
| ( SV358 = n1 )
| ( SV358 = n2 )
| ( SV358 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2437,plain,
! [SV359: $i] :
( ( ( leq @ SV359 @ n0 )
= $false )
| ( ( leq @ n0 @ SV359 )
= $false )
| ( ( SV359 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2428]) ).
thf(2438,plain,
! [SV374: $i,SV371: $i,SV367: $i,SV362: $i,SV351: $i] :
( ( ( ~ ( ( SV351 != SV362 ) )
| ( ( a_select2 @ SV367 @ SV362 )
!= SV371 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SV374 ) @ SV362 )
= SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2429]) ).
thf(2439,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ( ~ ~ ( ~ ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) )
| ~ ( leq @ n0 @ SV352 ) ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2430]) ).
thf(2440,plain,
! [SV353: $i] :
( ( ( SV353 = n0 )
= $true )
| ( ( SV353 = n1 )
= $true )
| ( ( leq @ n0 @ SV353 )
= $false )
| ( ( leq @ SV353 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2431]) ).
thf(2441,plain,
! [SV354: $i] :
( ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 )
| ( SV354 = n4 ) )
= $true )
| ( ( SV354 = n5 )
= $true )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( leq @ SV354 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2432]) ).
thf(2442,plain,
! [SV355: $i] :
( ( ( ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 )
| ( SV355 = n3 ) )
= $true )
| ( ( SV355 = n4 )
= $true )
| ( ( leq @ n0 @ SV355 )
= $false )
| ( ( leq @ SV355 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2433]) ).
thf(2443,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2434]) ).
thf(2444,plain,
! [SV357: $i] :
( ( ( ( SV357 = n0 )
| ( SV357 = n1 ) )
= $true )
| ( ( SV357 = n2 )
= $true )
| ( ( leq @ n0 @ SV357 )
= $false )
| ( ( leq @ SV357 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2435]) ).
thf(2445,plain,
! [SV358: $i] :
( ( ( ( SV358 = n0 )
| ( SV358 = n1 )
| ( SV358 = n2 ) )
= $true )
| ( ( SV358 = n3 )
= $true )
| ( ( leq @ n0 @ SV358 )
= $false )
| ( ( leq @ SV358 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2436]) ).
thf(2446,plain,
! [SV374: $i,SV371: $i,SV367: $i,SV362: $i,SV351: $i] :
( ( ( ~ ( ( SV351 != SV362 ) ) )
= $true )
| ( ( ( a_select2 @ SV367 @ SV362 )
!= SV371 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SV374 ) @ SV362 )
= SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2438]) ).
thf(2447,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ( ~ ( ~ ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) )
| ~ ( leq @ n0 @ SV352 ) ) )
= $false )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2439]) ).
thf(2448,plain,
! [SV354: $i] :
( ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 )
| ( SV354 = n3 ) )
= $true )
| ( ( SV354 = n4 )
= $true )
| ( ( SV354 = n5 )
= $true )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( leq @ SV354 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2449,plain,
! [SV355: $i] :
( ( ( ( SV355 = n0 )
| ( SV355 = n1 )
| ( SV355 = n2 ) )
= $true )
| ( ( SV355 = n3 )
= $true )
| ( ( SV355 = n4 )
= $true )
| ( ( leq @ n0 @ SV355 )
= $false )
| ( ( leq @ SV355 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2450,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2451,plain,
! [SV357: $i] :
( ( ( SV357 = n0 )
= $true )
| ( ( SV357 = n1 )
= $true )
| ( ( SV357 = n2 )
= $true )
| ( ( leq @ n0 @ SV357 )
= $false )
| ( ( leq @ SV357 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2444]) ).
thf(2452,plain,
! [SV358: $i] :
( ( ( ( SV358 = n0 )
| ( SV358 = n1 ) )
= $true )
| ( ( SV358 = n2 )
= $true )
| ( ( SV358 = n3 )
= $true )
| ( ( leq @ n0 @ SV358 )
= $false )
| ( ( leq @ SV358 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2445]) ).
thf(2453,plain,
! [SV374: $i,SV371: $i,SV367: $i,SV362: $i,SV351: $i] :
( ( ( SV351 != SV362 )
= $false )
| ( ( ( a_select2 @ SV367 @ SV362 )
!= SV371 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SV374 ) @ SV362 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2454,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ( ~ ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) )
| ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2447]) ).
thf(2455,plain,
! [SV354: $i] :
( ( ( ( SV354 = n0 )
| ( SV354 = n1 )
| ( SV354 = n2 ) )
= $true )
| ( ( SV354 = n3 )
= $true )
| ( ( SV354 = n4 )
= $true )
| ( ( SV354 = n5 )
= $true )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( leq @ SV354 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2448]) ).
thf(2456,plain,
! [SV355: $i] :
( ( ( ( SV355 = n0 )
| ( SV355 = n1 ) )
= $true )
| ( ( SV355 = n2 )
= $true )
| ( ( SV355 = n3 )
= $true )
| ( ( SV355 = n4 )
= $true )
| ( ( leq @ n0 @ SV355 )
= $false )
| ( ( leq @ SV355 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2449]) ).
thf(2457,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) )
| ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2450]) ).
thf(2458,plain,
! [SV358: $i] :
( ( ( SV358 = n0 )
= $true )
| ( ( SV358 = n1 )
= $true )
| ( ( SV358 = n2 )
= $true )
| ( ( SV358 = n3 )
= $true )
| ( ( leq @ n0 @ SV358 )
= $false )
| ( ( leq @ SV358 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2452]) ).
thf(2459,plain,
! [SV374: $i,SV371: $i,SV367: $i,SV362: $i,SV351: $i] :
( ( ( SV351 = SV362 )
= $true )
| ( ( ( a_select2 @ SV367 @ SV362 )
!= SV371 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SV374 ) @ SV362 )
= SV371 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2453]) ).
thf(2460,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ( ~ ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2454]) ).
thf(2461,plain,
! [SV354: $i] :
( ( ( ( SV354 = n0 )
| ( SV354 = n1 ) )
= $true )
| ( ( SV354 = n2 )
= $true )
| ( ( SV354 = n3 )
= $true )
| ( ( SV354 = n4 )
= $true )
| ( ( SV354 = n5 )
= $true )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( leq @ SV354 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2455]) ).
thf(2462,plain,
! [SV355: $i] :
( ( ( SV355 = n0 )
= $true )
| ( ( SV355 = n1 )
= $true )
| ( ( SV355 = n2 )
= $true )
| ( ( SV355 = n3 )
= $true )
| ( ( SV355 = n4 )
= $true )
| ( ( leq @ n0 @ SV355 )
= $false )
| ( ( leq @ SV355 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2456]) ).
thf(2463,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( ~ ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) ) )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2457]) ).
thf(2464,plain,
! [SV374: $i,SV351: $i,SV371: $i,SV362: $i,SV367: $i] :
( ( ( ( a_select2 @ SV367 @ SV362 )
= SV371 )
= $false )
| ( ( SV351 = SV362 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV367 @ SV351 @ SV374 ) @ SV362 )
= SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2465,plain,
! [SV352: $i,SV372: $i,SV368: $i,SV363: $i] :
( ( ( ! [SY673: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY673 )
| ~ ( leq @ SY673 @ SV363 ) )
| ( ( a_select2 @ SV368 @ SY673 )
= SV372 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2466,plain,
! [SV354: $i] :
( ( ( SV354 = n0 )
= $true )
| ( ( SV354 = n1 )
= $true )
| ( ( SV354 = n2 )
= $true )
| ( ( SV354 = n3 )
= $true )
| ( ( SV354 = n4 )
= $true )
| ( ( SV354 = n5 )
= $true )
| ( ( leq @ n0 @ SV354 )
= $false )
| ( ( leq @ SV354 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2467,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( ~ ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) ) )
= $false )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2468,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
| ~ ( leq @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) @ SV363 ) )
| ( ( a_select2 @ SV368 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
= SV372 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2465]) ).
thf(2469,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( ~ ( ( SV356 != SV369 ) )
| ( SV364 != SV373 ) )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2467]) ).
thf(2470,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
| ~ ( leq @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) @ SV363 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2468]) ).
thf(2471,plain,
! [SV363: $i,SV372: $i,SV352: $i,SV368: $i] :
( ( ( ( a_select2 @ SV368 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
= SV372 )
= $false )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2468]) ).
thf(2472,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( ~ ( ( SV356 != SV369 ) ) )
= $true )
| ( ( SV364 != SV373 )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2469]) ).
thf(2473,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
| ~ ( leq @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) @ SV363 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2470]) ).
thf(2474,plain,
! [SV363: $i,SV372: $i,SV368: $i,SV352: $i] :
( ( ( leq @ n0 @ SV352 )
= $false )
| ( ( ( a_select2 @ SV368 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
= SV372 )
= $false )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2471]) ).
thf(2475,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( SV356 != SV369 )
= $false )
| ( ( SV364 != SV373 )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2476,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( ~ ( leq @ n0 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
| ~ ( leq @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) @ SV363 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2477,plain,
! [SV372: $i,SV368: $i,SV363: $i,SV352: $i] :
( ( ( leq @ SV352 @ SV363 )
= $false )
| ( ( ( a_select2 @ SV368 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
= SV372 )
= $false )
| ( ( leq @ n0 @ SV352 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2478,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV373: $i,SV364: $i,SV369: $i,SV356: $i] :
( ( ( SV356 = SV369 )
= $true )
| ( ( SV364 != SV373 )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2475]) ).
thf(2479,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( ~ ( leq @ n0 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2476]) ).
thf(2480,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( ~ ( leq @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) @ SV363 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2476]) ).
thf(2481,plain,
! [SV377: $i,SV376: $i,SV375: $i,SV369: $i,SV356: $i,SV373: $i,SV364: $i] :
( ( ( SV364 = SV373 )
= $false )
| ( ( SV356 = SV369 )
= $true )
| ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
!= SV376 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2478]) ).
thf(2482,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( leq @ n0 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2479]) ).
thf(2483,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( leq @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) @ SV363 )
= $true )
| ( ( ~ ( leq @ n0 @ SV352 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2480]) ).
thf(2484,plain,
! [SV377: $i,SV364: $i,SV356: $i,SV376: $i,SV373: $i,SV369: $i,SV375: $i] :
( ( ( ( a_select3 @ SV375 @ SV369 @ SV373 )
= SV376 )
= $false )
| ( ( SV356 = SV369 )
= $true )
| ( ( SV364 = SV373 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV375 @ SV356 @ SV364 @ SV377 ) @ SV369 @ SV373 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2481]) ).
thf(2485,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( leq @ n0 @ SV352 )
= $false )
| ( ( leq @ n0 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2482]) ).
thf(2486,plain,
! [SV363: $i,SV368: $i,SV372: $i,SV352: $i] :
( ( ( leq @ n0 @ SV352 )
= $false )
| ( ( leq @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) @ SV363 )
= $true )
| ( ( ~ ( leq @ SV352 @ SV363 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2483]) ).
thf(2487,plain,
! [SV368: $i,SV372: $i,SV363: $i,SV352: $i] :
( ( ( leq @ SV352 @ SV363 )
= $false )
| ( ( leq @ n0 @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) )
= $true )
| ( ( leq @ n0 @ SV352 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2485]) ).
thf(2488,plain,
! [SV368: $i,SV372: $i,SV363: $i,SV352: $i] :
( ( ( leq @ SV352 @ SV363 )
= $false )
| ( ( leq @ ( sK13_SY673 @ SV352 @ SV372 @ SV368 @ SV363 ) @ SV363 )
= $true )
| ( ( leq @ n0 @ SV352 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV368 @ SV363 @ SV372 ) @ SV352 )
= SV372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2486]) ).
thf(2489,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2317,2488,2487,2484,2477,2466,2464,2462,2458,2451,2440,2437,2401,2391,2374,2368,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2341,2340,2339,2338,2331,2330,2329,2328,2327,2326,2325,2324,2323,2322,2321,2320,2319,2318]) ).
thf(2490,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(2491,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(2492,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2493,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(2494,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(2495,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2496,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2497,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2498,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2499,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2500,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2501,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2502,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2503,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2504,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2505,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2506,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2507,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2508,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2509,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2510,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2511,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(2512,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(2513,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2514,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2515,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2516,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2517,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2518,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2519,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2520,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2521,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2522,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2523,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2524,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2525,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2526,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2527,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2528,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2529,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2530,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2531,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2532,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2533,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2534,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(2535,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2516]) ).
thf(2536,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2513]) ).
thf(2537,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2495]) ).
thf(2538,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)],[2491]) ).
thf(2539,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2515]) ).
thf(2540,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)],[2494]) ).
thf(2541,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)],[2512]) ).
thf(2542,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)],[2493]) ).
thf(2543,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2514]) ).
thf(2544,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)],[2511]) ).
thf(2545,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)],[2490]) ).
thf(2546,plain,
! [SV379: $i] :
( ( ! [SY683: $i,SY684: $i] :
( ( a_select2 @ ( tptp_update2 @ SV379 @ SY683 @ SY684 ) @ SY683 )
= SY684 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2492]) ).
thf(2547,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2534]) ).
thf(2548,plain,
! [SV380: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV380 )
| ~ ( leq @ SV380 @ n3 ) )
| ( SV380 = n0 )
| ( SV380 = n1 )
| ( SV380 = n2 )
| ( SV380 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2535]) ).
thf(2549,plain,
! [SV381: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV381 )
| ~ ( leq @ SV381 @ n0 ) )
| ( SV381 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(2550,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2537]) ).
thf(2551,plain,
! [SV382: $i] :
( ( ! [SY685: $i,SY686: $i,SY687: $i,SY688: $i,SY689: $i,SY690: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV382 != SY686 ) )
| ( SY685 != SY687 ) )
| ( ( a_select3 @ SY688 @ SY686 @ SY687 )
!= SY689 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY688 @ SV382 @ SY685 @ SY690 ) @ SY686 @ SY687 )
= SY689 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2538]) ).
thf(2552,plain,
! [SV383: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV383 )
| ~ ( leq @ SV383 @ n2 ) )
| ( SV383 = n0 )
| ( SV383 = n1 )
| ( SV383 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2539]) ).
thf(2553,plain,
! [SV384: $i] :
( ( ! [SY691: $i,SY692: $i,SY693: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY691 ) )
| ( ( a_select2 @ SY692 @ SX4 )
= SY693 ) )
| ~ ( leq @ n0 @ SV384 ) )
| ~ ( leq @ SV384 @ SY691 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY692 @ SY691 @ SY693 ) @ SV384 )
= SY693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2540]) ).
thf(2554,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)],[2541]) ).
thf(2555,plain,
! [SV386: $i] :
( ( ! [SY695: $i,SY696: $i,SY697: $i,SY698: $i] :
( ~ ~ ( ~ ( ( SV386 != SY695 ) )
| ( ( a_select2 @ SY696 @ SY695 )
!= SY697 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY696 @ SV386 @ SY698 ) @ SY695 )
= SY697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2542]) ).
thf(2556,plain,
! [SV387: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV387 )
| ~ ( leq @ SV387 @ n1 ) )
| ( SV387 = n0 )
| ( SV387 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2543]) ).
thf(2557,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)],[2544]) ).
thf(2558,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)],[2545]) ).
thf(2559,plain,
! [SV390: $i,SV379: $i] :
( ( ! [SY701: $i] :
( ( a_select2 @ ( tptp_update2 @ SV379 @ SV390 @ SY701 ) @ SV390 )
= SY701 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(2560,plain,
! [SV380: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV380 )
| ~ ( leq @ SV380 @ n3 ) ) )
= $true )
| ( ( ( SV380 = n0 )
| ( SV380 = n1 )
| ( SV380 = n2 )
| ( SV380 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2548]) ).
thf(2561,plain,
! [SV381: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV381 )
| ~ ( leq @ SV381 @ n0 ) ) )
= $true )
| ( ( SV381 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2549]) ).
thf(2562,plain,
! [SV391: $i,SV382: $i] :
( ( ! [SY702: $i,SY703: $i,SY704: $i,SY705: $i,SY706: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV382 != SY702 ) )
| ( SV391 != SY703 ) )
| ( ( a_select3 @ SY704 @ SY702 @ SY703 )
!= SY705 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY704 @ SV382 @ SV391 @ SY706 ) @ SY702 @ SY703 )
= SY705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2551]) ).
thf(2563,plain,
! [SV383: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV383 )
| ~ ( leq @ SV383 @ n2 ) ) )
= $true )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 )
| ( SV383 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2552]) ).
thf(2564,plain,
! [SV384: $i,SV392: $i] :
( ( ! [SY707: $i,SY708: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY709: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY709 )
| ~ ( leq @ SY709 @ SV392 ) )
| ( ( a_select2 @ SY707 @ SY709 )
= SY708 ) )
| ~ ( leq @ n0 @ SV384 ) )
| ~ ( leq @ SV384 @ SV392 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY707 @ SV392 @ SY708 ) @ SV384 )
= SY708 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2553]) ).
thf(2565,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)],[2554]) ).
thf(2566,plain,
! [SV393: $i,SV386: $i] :
( ( ! [SY710: $i,SY711: $i,SY712: $i] :
( ~ ~ ( ~ ( ( SV386 != SV393 ) )
| ( ( a_select2 @ SY710 @ SV393 )
!= SY711 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY710 @ SV386 @ SY712 ) @ SV393 )
= SY711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2555]) ).
thf(2567,plain,
! [SV387: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV387 )
| ~ ( leq @ SV387 @ n1 ) ) )
= $true )
| ( ( ( SV387 = n0 )
| ( SV387 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2556]) ).
thf(2568,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)],[2557]) ).
thf(2569,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)],[2558]) ).
thf(2570,plain,
! [SV395: $i,SV390: $i,SV379: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV379 @ SV390 @ SV395 ) @ SV390 )
= SV395 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2559]) ).
thf(2571,plain,
! [SV380: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV380 )
| ~ ( leq @ SV380 @ n3 ) ) )
= $false )
| ( ( ( SV380 = n0 )
| ( SV380 = n1 )
| ( SV380 = n2 )
| ( SV380 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2560]) ).
thf(2572,plain,
! [SV381: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV381 )
| ~ ( leq @ SV381 @ n0 ) ) )
= $false )
| ( ( SV381 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2573,plain,
! [SV391: $i,SV396: $i,SV382: $i] :
( ( ! [SY714: $i,SY715: $i,SY716: $i,SY717: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SY714 ) )
| ( ( a_select3 @ SY715 @ SV396 @ SY714 )
!= SY716 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY715 @ SV382 @ SV391 @ SY717 ) @ SV396 @ SY714 )
= SY716 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2562]) ).
thf(2574,plain,
! [SV383: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV383 )
| ~ ( leq @ SV383 @ n2 ) ) )
= $false )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 )
| ( SV383 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2563]) ).
thf(2575,plain,
! [SV384: $i,SV397: $i,SV392: $i] :
( ( ! [SY718: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY719: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY719 )
| ~ ( leq @ SY719 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY719 )
= SY718 ) )
| ~ ( leq @ n0 @ SV384 ) )
| ~ ( leq @ SV384 @ SV392 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SY718 ) @ SV384 )
= SY718 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2564]) ).
thf(2576,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)],[2565]) ).
thf(2577,plain,
! [SV398: $i,SV393: $i,SV386: $i] :
( ( ! [SY720: $i,SY721: $i] :
( ~ ~ ( ~ ( ( SV386 != SV393 ) )
| ( ( a_select2 @ SV398 @ SV393 )
!= SY720 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SY721 ) @ SV393 )
= SY720 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2566]) ).
thf(2578,plain,
! [SV387: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV387 )
| ~ ( leq @ SV387 @ n1 ) ) )
= $false )
| ( ( ( SV387 = n0 )
| ( SV387 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2567]) ).
thf(2579,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)],[2568]) ).
thf(2580,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)],[2569]) ).
thf(2581,plain,
! [SV380: $i] :
( ( ( ~ ( leq @ n0 @ SV380 )
| ~ ( leq @ SV380 @ n3 ) )
= $true )
| ( ( ( SV380 = n0 )
| ( SV380 = n1 )
| ( SV380 = n2 )
| ( SV380 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2582,plain,
! [SV381: $i] :
( ( ( ~ ( leq @ n0 @ SV381 )
| ~ ( leq @ SV381 @ n0 ) )
= $true )
| ( ( SV381 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2572]) ).
thf(2583,plain,
! [SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ! [SY722: $i,SY723: $i,SY724: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) )
| ( ( a_select3 @ SY722 @ SV396 @ SV400 )
!= SY723 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY722 @ SV382 @ SV391 @ SY724 ) @ SV396 @ SV400 )
= SY723 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2573]) ).
thf(2584,plain,
! [SV383: $i] :
( ( ( ~ ( leq @ n0 @ SV383 )
| ~ ( leq @ SV383 @ n2 ) )
= $true )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 )
| ( SV383 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2574]) ).
thf(2585,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) )
| ~ ( leq @ n0 @ SV384 ) )
| ~ ( leq @ SV384 @ SV392 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2575]) ).
thf(2586,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)],[2576]) ).
thf(2587,plain,
! [SV402: $i,SV398: $i,SV393: $i,SV386: $i] :
( ( ! [SY726: $i] :
( ~ ~ ( ~ ( ( SV386 != SV393 ) )
| ( ( a_select2 @ SV398 @ SV393 )
!= SV402 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SY726 ) @ SV393 )
= SV402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2577]) ).
thf(2588,plain,
! [SV387: $i] :
( ( ( ~ ( leq @ n0 @ SV387 )
| ~ ( leq @ SV387 @ n1 ) )
= $true )
| ( ( ( SV387 = n0 )
| ( SV387 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2589,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)],[2579]) ).
thf(2590,plain,
! [SV380: $i] :
( ( ( ~ ( leq @ n0 @ SV380 ) )
= $true )
| ( ( ~ ( leq @ SV380 @ n3 ) )
= $true )
| ( ( ( SV380 = n0 )
| ( SV380 = n1 )
| ( SV380 = n2 )
| ( SV380 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2581]) ).
thf(2591,plain,
! [SV381: $i] :
( ( ( ~ ( leq @ n0 @ SV381 ) )
= $true )
| ( ( ~ ( leq @ SV381 @ n0 ) )
= $true )
| ( ( SV381 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2582]) ).
thf(2592,plain,
! [SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ! [SY727: $i,SY728: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) )
| ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SY727 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SY728 ) @ SV396 @ SV400 )
= SY727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2583]) ).
thf(2593,plain,
! [SV383: $i] :
( ( ( ~ ( leq @ n0 @ SV383 ) )
= $true )
| ( ( ~ ( leq @ SV383 @ n2 ) )
= $true )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 )
| ( SV383 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2584]) ).
thf(2594,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) )
| ~ ( leq @ n0 @ SV384 ) )
| ~ ( leq @ SV384 @ SV392 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2585]) ).
thf(2595,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)],[2586]) ).
thf(2596,plain,
! [SV404: $i,SV402: $i,SV398: $i,SV393: $i,SV386: $i] :
( ( ~ ~ ( ~ ( ( SV386 != SV393 ) )
| ( ( a_select2 @ SV398 @ SV393 )
!= SV402 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SV404 ) @ SV393 )
= SV402 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2587]) ).
thf(2597,plain,
! [SV387: $i] :
( ( ( ~ ( leq @ n0 @ SV387 ) )
= $true )
| ( ( ~ ( leq @ SV387 @ n1 ) )
= $true )
| ( ( ( SV387 = n0 )
| ( SV387 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2588]) ).
thf(2598,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)],[2589]) ).
thf(2599,plain,
! [SV380: $i] :
( ( ( leq @ n0 @ SV380 )
= $false )
| ( ( ~ ( leq @ SV380 @ n3 ) )
= $true )
| ( ( ( SV380 = n0 )
| ( SV380 = n1 )
| ( SV380 = n2 )
| ( SV380 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2590]) ).
thf(2600,plain,
! [SV381: $i] :
( ( ( leq @ n0 @ SV381 )
= $false )
| ( ( ~ ( leq @ SV381 @ n0 ) )
= $true )
| ( ( SV381 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2591]) ).
thf(2601,plain,
! [SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ! [SY729: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) )
| ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SY729 ) @ SV396 @ SV400 )
= SV405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2592]) ).
thf(2602,plain,
! [SV383: $i] :
( ( ( leq @ n0 @ SV383 )
= $false )
| ( ( ~ ( leq @ SV383 @ n2 ) )
= $true )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 )
| ( SV383 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2593]) ).
thf(2603,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) )
| ~ ( leq @ n0 @ SV384 ) )
| ~ ( leq @ SV384 @ SV392 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2594]) ).
thf(2604,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)],[2595]) ).
thf(2605,plain,
! [SV404: $i,SV402: $i,SV398: $i,SV393: $i,SV386: $i] :
( ( ( ~ ~ ( ~ ( ( SV386 != SV393 ) )
| ( ( a_select2 @ SV398 @ SV393 )
!= SV402 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SV404 ) @ SV393 )
= SV402 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2596]) ).
thf(2606,plain,
! [SV387: $i] :
( ( ( leq @ n0 @ SV387 )
= $false )
| ( ( ~ ( leq @ SV387 @ n1 ) )
= $true )
| ( ( ( SV387 = n0 )
| ( SV387 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2597]) ).
thf(2607,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)],[2598]) ).
thf(2608,plain,
! [SV380: $i] :
( ( ( leq @ SV380 @ n3 )
= $false )
| ( ( leq @ n0 @ SV380 )
= $false )
| ( ( ( SV380 = n0 )
| ( SV380 = n1 )
| ( SV380 = n2 )
| ( SV380 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2599]) ).
thf(2609,plain,
! [SV381: $i] :
( ( ( leq @ SV381 @ n0 )
= $false )
| ( ( leq @ n0 @ SV381 )
= $false )
| ( ( SV381 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2600]) ).
thf(2610,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) )
| ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(2611,plain,
! [SV383: $i] :
( ( ( leq @ SV383 @ n2 )
= $false )
| ( ( leq @ n0 @ SV383 )
= $false )
| ( ( ( SV383 = n0 )
| ( SV383 = n1 )
| ( SV383 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2602]) ).
thf(2612,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ~ ( ~ ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) )
| ~ ( leq @ n0 @ SV384 ) )
| ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2603]) ).
thf(2613,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)],[2604]) ).
thf(2614,plain,
! [SV404: $i,SV402: $i,SV398: $i,SV393: $i,SV386: $i] :
( ( ( ~ ( ~ ( ( SV386 != SV393 ) )
| ( ( a_select2 @ SV398 @ SV393 )
!= SV402 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SV404 ) @ SV393 )
= SV402 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2605]) ).
thf(2615,plain,
! [SV387: $i] :
( ( ( leq @ SV387 @ n1 )
= $false )
| ( ( leq @ n0 @ SV387 )
= $false )
| ( ( ( SV387 = n0 )
| ( SV387 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2606]) ).
thf(2616,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)],[2607]) ).
thf(2617,plain,
! [SV380: $i] :
( ( ( ( SV380 = n0 )
| ( SV380 = n1 )
| ( SV380 = n2 ) )
= $true )
| ( ( SV380 = n3 )
= $true )
| ( ( leq @ n0 @ SV380 )
= $false )
| ( ( leq @ SV380 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2608]) ).
thf(2618,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) )
| ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2610]) ).
thf(2619,plain,
! [SV383: $i] :
( ( ( ( SV383 = n0 )
| ( SV383 = n1 ) )
= $true )
| ( ( SV383 = n2 )
= $true )
| ( ( leq @ n0 @ SV383 )
= $false )
| ( ( leq @ SV383 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2611]) ).
thf(2620,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ~ ( ~ ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) )
| ~ ( leq @ n0 @ SV384 ) ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2612]) ).
thf(2621,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)],[2613]) ).
thf(2622,plain,
! [SV404: $i,SV402: $i,SV398: $i,SV393: $i,SV386: $i] :
( ( ( ~ ( ( SV386 != SV393 ) )
| ( ( a_select2 @ SV398 @ SV393 )
!= SV402 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SV404 ) @ SV393 )
= SV402 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2614]) ).
thf(2623,plain,
! [SV387: $i] :
( ( ( SV387 = n0 )
= $true )
| ( ( SV387 = n1 )
= $true )
| ( ( leq @ n0 @ SV387 )
= $false )
| ( ( leq @ SV387 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(2624,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)],[2616]) ).
thf(2625,plain,
! [SV380: $i] :
( ( ( ( SV380 = n0 )
| ( SV380 = n1 ) )
= $true )
| ( ( SV380 = n2 )
= $true )
| ( ( SV380 = n3 )
= $true )
| ( ( leq @ n0 @ SV380 )
= $false )
| ( ( leq @ SV380 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2617]) ).
thf(2626,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) )
| ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2618]) ).
thf(2627,plain,
! [SV383: $i] :
( ( ( SV383 = n0 )
= $true )
| ( ( SV383 = n1 )
= $true )
| ( ( SV383 = n2 )
= $true )
| ( ( leq @ n0 @ SV383 )
= $false )
| ( ( leq @ SV383 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2619]) ).
thf(2628,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ( ~ ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) )
| ~ ( leq @ n0 @ SV384 ) ) )
= $false )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2620]) ).
thf(2629,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)],[2621]) ).
thf(2630,plain,
! [SV404: $i,SV402: $i,SV398: $i,SV393: $i,SV386: $i] :
( ( ( ~ ( ( SV386 != SV393 ) ) )
= $true )
| ( ( ( a_select2 @ SV398 @ SV393 )
!= SV402 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SV404 ) @ SV393 )
= SV402 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2622]) ).
thf(2631,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)],[2624]) ).
thf(2632,plain,
! [SV380: $i] :
( ( ( SV380 = n0 )
= $true )
| ( ( SV380 = n1 )
= $true )
| ( ( SV380 = n2 )
= $true )
| ( ( SV380 = n3 )
= $true )
| ( ( leq @ n0 @ SV380 )
= $false )
| ( ( leq @ SV380 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2625]) ).
thf(2633,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) )
| ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2626]) ).
thf(2634,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) )
| ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2628]) ).
thf(2635,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)],[2629]) ).
thf(2636,plain,
! [SV404: $i,SV402: $i,SV398: $i,SV393: $i,SV386: $i] :
( ( ( SV386 != SV393 )
= $false )
| ( ( ( a_select2 @ SV398 @ SV393 )
!= SV402 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SV404 ) @ SV393 )
= SV402 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2630]) ).
thf(2637,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)],[2631]) ).
thf(2638,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( ~ ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) ) )
= $true )
| ( ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2633]) ).
thf(2639,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ~ ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2634]) ).
thf(2640,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)],[2635]) ).
thf(2641,plain,
! [SV404: $i,SV402: $i,SV398: $i,SV393: $i,SV386: $i] :
( ( ( SV386 = SV393 )
= $true )
| ( ( ( a_select2 @ SV398 @ SV393 )
!= SV402 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SV404 ) @ SV393 )
= SV402 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2642,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)],[2637]) ).
thf(2643,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( ~ ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) ) )
= $false )
| ( ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2638]) ).
thf(2644,plain,
! [SV384: $i,SV401: $i,SV397: $i,SV392: $i] :
( ( ( ! [SY725: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY725 )
| ~ ( leq @ SY725 @ SV392 ) )
| ( ( a_select2 @ SV397 @ SY725 )
= SV401 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2639]) ).
thf(2645,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)],[2640]) ).
thf(2646,plain,
! [SV404: $i,SV386: $i,SV402: $i,SV393: $i,SV398: $i] :
( ( ( ( a_select2 @ SV398 @ SV393 )
= SV402 )
= $false )
| ( ( SV386 = SV393 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV398 @ SV386 @ SV404 ) @ SV393 )
= SV402 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2641]) ).
thf(2647,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( ~ ( ( SV382 != SV396 ) )
| ( SV391 != SV400 ) )
= $true )
| ( ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2643]) ).
thf(2648,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
| ~ ( leq @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) @ SV392 ) )
| ( ( a_select2 @ SV397 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
= SV401 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2644]) ).
thf(2649,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( ~ ( ( SV382 != SV396 ) ) )
= $true )
| ( ( SV391 != SV400 )
= $true )
| ( ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2647]) ).
thf(2650,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
| ~ ( leq @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) @ SV392 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2648]) ).
thf(2651,plain,
! [SV392: $i,SV401: $i,SV384: $i,SV397: $i] :
( ( ( ( a_select2 @ SV397 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
= SV401 )
= $false )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2648]) ).
thf(2652,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( SV382 != SV396 )
= $false )
| ( ( SV391 != SV400 )
= $true )
| ( ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2649]) ).
thf(2653,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
| ~ ( leq @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) @ SV392 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2650]) ).
thf(2654,plain,
! [SV392: $i,SV401: $i,SV397: $i,SV384: $i] :
( ( ( leq @ n0 @ SV384 )
= $false )
| ( ( ( a_select2 @ SV397 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
= SV401 )
= $false )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2651]) ).
thf(2655,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV400: $i,SV391: $i,SV396: $i,SV382: $i] :
( ( ( SV382 = SV396 )
= $true )
| ( ( SV391 != SV400 )
= $true )
| ( ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2652]) ).
thf(2656,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( ~ ( leq @ n0 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
| ~ ( leq @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) @ SV392 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2653]) ).
thf(2657,plain,
! [SV401: $i,SV397: $i,SV392: $i,SV384: $i] :
( ( ( leq @ SV384 @ SV392 )
= $false )
| ( ( ( a_select2 @ SV397 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
= SV401 )
= $false )
| ( ( leq @ n0 @ SV384 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2654]) ).
thf(2658,plain,
! [SV406: $i,SV405: $i,SV403: $i,SV396: $i,SV382: $i,SV400: $i,SV391: $i] :
( ( ( SV391 = SV400 )
= $false )
| ( ( SV382 = SV396 )
= $true )
| ( ( ( a_select3 @ SV403 @ SV396 @ SV400 )
!= SV405 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2655]) ).
thf(2659,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( ~ ( leq @ n0 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2656]) ).
thf(2660,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( ~ ( leq @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) @ SV392 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2656]) ).
thf(2661,plain,
! [SV406: $i,SV391: $i,SV382: $i,SV405: $i,SV400: $i,SV396: $i,SV403: $i] :
( ( ( ( a_select3 @ SV403 @ SV396 @ SV400 )
= SV405 )
= $false )
| ( ( SV382 = SV396 )
= $true )
| ( ( SV391 = SV400 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV403 @ SV382 @ SV391 @ SV406 ) @ SV396 @ SV400 )
= SV405 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2658]) ).
thf(2662,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( leq @ n0 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2659]) ).
thf(2663,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( leq @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) @ SV392 )
= $true )
| ( ( ~ ( leq @ n0 @ SV384 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2660]) ).
thf(2664,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( leq @ n0 @ SV384 )
= $false )
| ( ( leq @ n0 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2662]) ).
thf(2665,plain,
! [SV392: $i,SV397: $i,SV401: $i,SV384: $i] :
( ( ( leq @ n0 @ SV384 )
= $false )
| ( ( leq @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) @ SV392 )
= $true )
| ( ( ~ ( leq @ SV384 @ SV392 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2663]) ).
thf(2666,plain,
! [SV397: $i,SV401: $i,SV392: $i,SV384: $i] :
( ( ( leq @ SV384 @ SV392 )
= $false )
| ( ( leq @ n0 @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) )
= $true )
| ( ( leq @ n0 @ SV384 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2664]) ).
thf(2667,plain,
! [SV397: $i,SV401: $i,SV392: $i,SV384: $i] :
( ( ( leq @ SV384 @ SV392 )
= $false )
| ( ( leq @ ( sK14_SY725 @ SV384 @ SV401 @ SV397 @ SV392 ) @ SV392 )
= $true )
| ( ( leq @ n0 @ SV384 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV397 @ SV392 @ SV401 ) @ SV384 )
= SV401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2665]) ).
thf(2668,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2496,2667,2666,2661,2657,2646,2645,2642,2632,2627,2623,2609,2580,2570,2550,2547,2533,2532,2531,2530,2529,2528,2527,2526,2525,2524,2523,2522,2521,2520,2519,2518,2517,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2500,2499,2498,2497]) ).
thf(2669,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(2670,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(2671,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2672,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(2673,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(2674,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2675,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2676,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2677,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2678,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2679,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2680,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2681,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2682,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2683,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2684,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2685,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2686,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(2687,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(2688,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2689,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(2690,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(2691,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(2692,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(2693,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(2694,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(2695,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2696,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(2697,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2698,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(2699,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(2700,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(2701,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2702,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2703,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2704,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2705,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2706,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2707,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2708,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2709,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2710,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2711,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2712,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2713,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
!= use )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(2714,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[2674]) ).
thf(2715,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2695]) ).
thf(2716,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2692]) ).
thf(2717,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2693]) ).
thf(2718,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2694]) ).
thf(2719,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)],[2690]) ).
thf(2720,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)],[2672]) ).
thf(2721,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)],[2691]) ).
thf(2722,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)],[2670]) ).
thf(2723,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)],[2673]) ).
thf(2724,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)],[2669]) ).
thf(2725,plain,
! [SV408: $i] :
( ( ! [SY733: $i,SY734: $i] :
( ( a_select2 @ ( tptp_update2 @ SV408 @ SY733 @ SY734 ) @ SY733 )
= SY734 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2671]) ).
thf(2726,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ rho_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2713]) ).
thf(2727,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2714]) ).
thf(2728,plain,
! [SV409: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV409 )
| ~ ( leq @ SV409 @ n3 ) )
| ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2715]) ).
thf(2729,plain,
! [SV410: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV410 )
| ~ ( leq @ SV410 @ n0 ) )
| ( SV410 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2716]) ).
thf(2730,plain,
! [SV411: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV411 )
| ~ ( leq @ SV411 @ n1 ) )
| ( SV411 = n0 )
| ( SV411 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2717]) ).
thf(2731,plain,
! [SV412: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV412 )
| ~ ( leq @ SV412 @ n2 ) )
| ( SV412 = n0 )
| ( SV412 = n1 )
| ( SV412 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2718]) ).
thf(2732,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)],[2719]) ).
thf(2733,plain,
! [SV414: $i] :
( ( ! [SY735: $i,SY736: $i,SY737: $i,SY738: $i] :
( ~ ~ ( ~ ( ( SV414 != SY735 ) )
| ( ( a_select2 @ SY736 @ SY735 )
!= SY737 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY736 @ SV414 @ SY738 ) @ SY735 )
= SY737 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2720]) ).
thf(2734,plain,
! [SV415: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV415 )
| ~ ( leq @ SV415 @ n5 ) )
| ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 )
| ( SV415 = n4 )
| ( SV415 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2721]) ).
thf(2735,plain,
! [SV416: $i] :
( ( ! [SY739: $i,SY740: $i,SY741: $i,SY742: $i,SY743: $i,SY744: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV416 != SY740 ) )
| ( SY739 != SY741 ) )
| ( ( a_select3 @ SY742 @ SY740 @ SY741 )
!= SY743 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY742 @ SV416 @ SY739 @ SY744 ) @ SY740 @ SY741 )
= SY743 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2722]) ).
thf(2736,plain,
! [SV417: $i] :
( ( ! [SY745: $i,SY746: $i,SY747: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY745 ) )
| ( ( a_select2 @ SY746 @ SX4 )
= SY747 ) )
| ~ ( leq @ n0 @ SV417 ) )
| ~ ( leq @ SV417 @ SY745 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY746 @ SY745 @ SY747 ) @ SV417 )
= SY747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2723]) ).
thf(2737,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)],[2724]) ).
thf(2738,plain,
! [SV419: $i,SV408: $i] :
( ( ! [SY751: $i] :
( ( a_select2 @ ( tptp_update2 @ SV408 @ SV419 @ SY751 ) @ SV419 )
= SY751 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2725]) ).
thf(2739,plain,
! [SV409: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV409 )
| ~ ( leq @ SV409 @ n3 ) ) )
= $true )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2728]) ).
thf(2740,plain,
! [SV410: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV410 )
| ~ ( leq @ SV410 @ n0 ) ) )
= $true )
| ( ( SV410 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2729]) ).
thf(2741,plain,
! [SV411: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV411 )
| ~ ( leq @ SV411 @ n1 ) ) )
= $true )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2730]) ).
thf(2742,plain,
! [SV412: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV412 )
| ~ ( leq @ SV412 @ n2 ) ) )
= $true )
| ( ( ( SV412 = n0 )
| ( SV412 = n1 )
| ( SV412 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2731]) ).
thf(2743,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)],[2732]) ).
thf(2744,plain,
! [SV420: $i,SV414: $i] :
( ( ! [SY752: $i,SY753: $i,SY754: $i] :
( ~ ~ ( ~ ( ( SV414 != SV420 ) )
| ( ( a_select2 @ SY752 @ SV420 )
!= SY753 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY752 @ SV414 @ SY754 ) @ SV420 )
= SY753 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2733]) ).
thf(2745,plain,
! [SV415: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV415 )
| ~ ( leq @ SV415 @ n5 ) ) )
= $true )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 )
| ( SV415 = n4 )
| ( SV415 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2734]) ).
thf(2746,plain,
! [SV421: $i,SV416: $i] :
( ( ! [SY755: $i,SY756: $i,SY757: $i,SY758: $i,SY759: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV416 != SY755 ) )
| ( SV421 != SY756 ) )
| ( ( a_select3 @ SY757 @ SY755 @ SY756 )
!= SY758 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY757 @ SV416 @ SV421 @ SY759 ) @ SY755 @ SY756 )
= SY758 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2735]) ).
thf(2747,plain,
! [SV417: $i,SV422: $i] :
( ( ! [SY760: $i,SY761: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY762: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY762 )
| ~ ( leq @ SY762 @ SV422 ) )
| ( ( a_select2 @ SY760 @ SY762 )
= SY761 ) )
| ~ ( leq @ n0 @ SV417 ) )
| ~ ( leq @ SV417 @ SV422 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY760 @ SV422 @ SY761 ) @ SV417 )
= SY761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2736]) ).
thf(2748,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)],[2737]) ).
thf(2749,plain,
! [SV424: $i,SV419: $i,SV408: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV408 @ SV419 @ SV424 ) @ SV419 )
= SV424 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2738]) ).
thf(2750,plain,
! [SV409: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV409 )
| ~ ( leq @ SV409 @ n3 ) ) )
= $false )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2751,plain,
! [SV410: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV410 )
| ~ ( leq @ SV410 @ n0 ) ) )
= $false )
| ( ( SV410 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2740]) ).
thf(2752,plain,
! [SV411: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV411 )
| ~ ( leq @ SV411 @ n1 ) ) )
= $false )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2741]) ).
thf(2753,plain,
! [SV412: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV412 )
| ~ ( leq @ SV412 @ n2 ) ) )
= $false )
| ( ( ( SV412 = n0 )
| ( SV412 = n1 )
| ( SV412 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2742]) ).
thf(2754,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)],[2743]) ).
thf(2755,plain,
! [SV425: $i,SV420: $i,SV414: $i] :
( ( ! [SY764: $i,SY765: $i] :
( ~ ~ ( ~ ( ( SV414 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SY764 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SY765 ) @ SV420 )
= SY764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2744]) ).
thf(2756,plain,
! [SV415: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV415 )
| ~ ( leq @ SV415 @ n5 ) ) )
= $false )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 )
| ( SV415 = n4 )
| ( SV415 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2745]) ).
thf(2757,plain,
! [SV421: $i,SV426: $i,SV416: $i] :
( ( ! [SY766: $i,SY767: $i,SY768: $i,SY769: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SY766 ) )
| ( ( a_select3 @ SY767 @ SV426 @ SY766 )
!= SY768 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY767 @ SV416 @ SV421 @ SY769 ) @ SV426 @ SY766 )
= SY768 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2746]) ).
thf(2758,plain,
! [SV417: $i,SV427: $i,SV422: $i] :
( ( ! [SY770: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY771: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY771 )
| ~ ( leq @ SY771 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY771 )
= SY770 ) )
| ~ ( leq @ n0 @ SV417 ) )
| ~ ( leq @ SV417 @ SV422 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SY770 ) @ SV417 )
= SY770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2747]) ).
thf(2759,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)],[2748]) ).
thf(2760,plain,
! [SV409: $i] :
( ( ( ~ ( leq @ n0 @ SV409 )
| ~ ( leq @ SV409 @ n3 ) )
= $true )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2750]) ).
thf(2761,plain,
! [SV410: $i] :
( ( ( ~ ( leq @ n0 @ SV410 )
| ~ ( leq @ SV410 @ n0 ) )
= $true )
| ( ( SV410 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2751]) ).
thf(2762,plain,
! [SV411: $i] :
( ( ( ~ ( leq @ n0 @ SV411 )
| ~ ( leq @ SV411 @ n1 ) )
= $true )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2752]) ).
thf(2763,plain,
! [SV412: $i] :
( ( ( ~ ( leq @ n0 @ SV412 )
| ~ ( leq @ SV412 @ n2 ) )
= $true )
| ( ( ( SV412 = n0 )
| ( SV412 = n1 )
| ( SV412 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2753]) ).
thf(2764,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)],[2754]) ).
thf(2765,plain,
! [SV429: $i,SV425: $i,SV420: $i,SV414: $i] :
( ( ! [SY772: $i] :
( ~ ~ ( ~ ( ( SV414 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SY772 ) @ SV420 )
= SV429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(2766,plain,
! [SV415: $i] :
( ( ( ~ ( leq @ n0 @ SV415 )
| ~ ( leq @ SV415 @ n5 ) )
= $true )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 )
| ( SV415 = n4 )
| ( SV415 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2756]) ).
thf(2767,plain,
! [SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ! [SY773: $i,SY774: $i,SY775: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) )
| ( ( a_select3 @ SY773 @ SV426 @ SV430 )
!= SY774 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY773 @ SV416 @ SV421 @ SY775 ) @ SV426 @ SV430 )
= SY774 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2757]) ).
thf(2768,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) )
| ~ ( leq @ n0 @ SV417 ) )
| ~ ( leq @ SV417 @ SV422 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2758]) ).
thf(2769,plain,
! [SV409: $i] :
( ( ( ~ ( leq @ n0 @ SV409 ) )
= $true )
| ( ( ~ ( leq @ SV409 @ n3 ) )
= $true )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2760]) ).
thf(2770,plain,
! [SV410: $i] :
( ( ( ~ ( leq @ n0 @ SV410 ) )
= $true )
| ( ( ~ ( leq @ SV410 @ n0 ) )
= $true )
| ( ( SV410 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2761]) ).
thf(2771,plain,
! [SV411: $i] :
( ( ( ~ ( leq @ n0 @ SV411 ) )
= $true )
| ( ( ~ ( leq @ SV411 @ n1 ) )
= $true )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2762]) ).
thf(2772,plain,
! [SV412: $i] :
( ( ( ~ ( leq @ n0 @ SV412 ) )
= $true )
| ( ( ~ ( leq @ SV412 @ n2 ) )
= $true )
| ( ( ( SV412 = n0 )
| ( SV412 = n1 )
| ( SV412 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2763]) ).
thf(2773,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)],[2764]) ).
thf(2774,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV414: $i] :
( ( ~ ~ ( ~ ( ( SV414 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SV432 ) @ SV420 )
= SV429 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2765]) ).
thf(2775,plain,
! [SV415: $i] :
( ( ( ~ ( leq @ n0 @ SV415 ) )
= $true )
| ( ( ~ ( leq @ SV415 @ n5 ) )
= $true )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 )
| ( SV415 = n4 )
| ( SV415 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2766]) ).
thf(2776,plain,
! [SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ! [SY777: $i,SY778: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) )
| ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SY777 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SY778 ) @ SV426 @ SV430 )
= SY777 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2767]) ).
thf(2777,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) )
| ~ ( leq @ n0 @ SV417 ) )
| ~ ( leq @ SV417 @ SV422 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2768]) ).
thf(2778,plain,
! [SV409: $i] :
( ( ( leq @ n0 @ SV409 )
= $false )
| ( ( ~ ( leq @ SV409 @ n3 ) )
= $true )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2769]) ).
thf(2779,plain,
! [SV410: $i] :
( ( ( leq @ n0 @ SV410 )
= $false )
| ( ( ~ ( leq @ SV410 @ n0 ) )
= $true )
| ( ( SV410 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2770]) ).
thf(2780,plain,
! [SV411: $i] :
( ( ( leq @ n0 @ SV411 )
= $false )
| ( ( ~ ( leq @ SV411 @ n1 ) )
= $true )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2771]) ).
thf(2781,plain,
! [SV412: $i] :
( ( ( leq @ n0 @ SV412 )
= $false )
| ( ( ~ ( leq @ SV412 @ n2 ) )
= $true )
| ( ( ( SV412 = n0 )
| ( SV412 = n1 )
| ( SV412 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2772]) ).
thf(2782,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)],[2773]) ).
thf(2783,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV414: $i] :
( ( ( ~ ~ ( ~ ( ( SV414 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2774]) ).
thf(2784,plain,
! [SV415: $i] :
( ( ( leq @ n0 @ SV415 )
= $false )
| ( ( ~ ( leq @ SV415 @ n5 ) )
= $true )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 )
| ( SV415 = n4 )
| ( SV415 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2775]) ).
thf(2785,plain,
! [SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ! [SY779: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) )
| ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SY779 ) @ SV426 @ SV430 )
= SV434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2776]) ).
thf(2786,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) )
| ~ ( leq @ n0 @ SV417 ) )
| ~ ( leq @ SV417 @ SV422 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2777]) ).
thf(2787,plain,
! [SV409: $i] :
( ( ( leq @ SV409 @ n3 )
= $false )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 )
| ( SV409 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2778]) ).
thf(2788,plain,
! [SV410: $i] :
( ( ( leq @ SV410 @ n0 )
= $false )
| ( ( leq @ n0 @ SV410 )
= $false )
| ( ( SV410 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2779]) ).
thf(2789,plain,
! [SV411: $i] :
( ( ( leq @ SV411 @ n1 )
= $false )
| ( ( leq @ n0 @ SV411 )
= $false )
| ( ( ( SV411 = n0 )
| ( SV411 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2780]) ).
thf(2790,plain,
! [SV412: $i] :
( ( ( leq @ SV412 @ n2 )
= $false )
| ( ( leq @ n0 @ SV412 )
= $false )
| ( ( ( SV412 = n0 )
| ( SV412 = n1 )
| ( SV412 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2781]) ).
thf(2791,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)],[2782]) ).
thf(2792,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV414: $i] :
( ( ( ~ ( ~ ( ( SV414 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2783]) ).
thf(2793,plain,
! [SV415: $i] :
( ( ( leq @ SV415 @ n5 )
= $false )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 )
| ( SV415 = n4 )
| ( SV415 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2784]) ).
thf(2794,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) )
| ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2785]) ).
thf(2795,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ( ~ ~ ( ~ ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) )
| ~ ( leq @ n0 @ SV417 ) )
| ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2786]) ).
thf(2796,plain,
! [SV409: $i] :
( ( ( ( SV409 = n0 )
| ( SV409 = n1 )
| ( SV409 = n2 ) )
= $true )
| ( ( SV409 = n3 )
= $true )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( leq @ SV409 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(2797,plain,
! [SV411: $i] :
( ( ( SV411 = n0 )
= $true )
| ( ( SV411 = n1 )
= $true )
| ( ( leq @ n0 @ SV411 )
= $false )
| ( ( leq @ SV411 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2789]) ).
thf(2798,plain,
! [SV412: $i] :
( ( ( ( SV412 = n0 )
| ( SV412 = n1 ) )
= $true )
| ( ( SV412 = n2 )
= $true )
| ( ( leq @ n0 @ SV412 )
= $false )
| ( ( leq @ SV412 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2790]) ).
thf(2799,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)],[2791]) ).
thf(2800,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV414: $i] :
( ( ( ~ ( ( SV414 != SV420 ) )
| ( ( a_select2 @ SV425 @ SV420 )
!= SV429 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2792]) ).
thf(2801,plain,
! [SV415: $i] :
( ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 )
| ( SV415 = n4 ) )
= $true )
| ( ( SV415 = n5 )
= $true )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( leq @ SV415 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2793]) ).
thf(2802,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) )
| ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2794]) ).
thf(2803,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ( ~ ~ ( ~ ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) )
| ~ ( leq @ n0 @ SV417 ) ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2795]) ).
thf(2804,plain,
! [SV409: $i] :
( ( ( ( SV409 = n0 )
| ( SV409 = n1 ) )
= $true )
| ( ( SV409 = n2 )
= $true )
| ( ( SV409 = n3 )
= $true )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( leq @ SV409 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2796]) ).
thf(2805,plain,
! [SV412: $i] :
( ( ( SV412 = n0 )
= $true )
| ( ( SV412 = n1 )
= $true )
| ( ( SV412 = n2 )
= $true )
| ( ( leq @ n0 @ SV412 )
= $false )
| ( ( leq @ SV412 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2798]) ).
thf(2806,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)],[2799]) ).
thf(2807,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV414: $i] :
( ( ( ~ ( ( SV414 != SV420 ) ) )
= $true )
| ( ( ( a_select2 @ SV425 @ SV420 )
!= SV429 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2800]) ).
thf(2808,plain,
! [SV415: $i] :
( ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 )
| ( SV415 = n3 ) )
= $true )
| ( ( SV415 = n4 )
= $true )
| ( ( SV415 = n5 )
= $true )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( leq @ SV415 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2801]) ).
thf(2809,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) )
| ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2802]) ).
thf(2810,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ( ~ ( ~ ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) )
| ~ ( leq @ n0 @ SV417 ) ) )
= $false )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(2811,plain,
! [SV409: $i] :
( ( ( SV409 = n0 )
= $true )
| ( ( SV409 = n1 )
= $true )
| ( ( SV409 = n2 )
= $true )
| ( ( SV409 = n3 )
= $true )
| ( ( leq @ n0 @ SV409 )
= $false )
| ( ( leq @ SV409 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2804]) ).
thf(2812,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)],[2806]) ).
thf(2813,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV414: $i] :
( ( ( SV414 != SV420 )
= $false )
| ( ( ( a_select2 @ SV425 @ SV420 )
!= SV429 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2807]) ).
thf(2814,plain,
! [SV415: $i] :
( ( ( ( SV415 = n0 )
| ( SV415 = n1 )
| ( SV415 = n2 ) )
= $true )
| ( ( SV415 = n3 )
= $true )
| ( ( SV415 = n4 )
= $true )
| ( ( SV415 = n5 )
= $true )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( leq @ SV415 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2808]) ).
thf(2815,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) )
| ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2809]) ).
thf(2816,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ( ~ ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) )
| ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2810]) ).
thf(2817,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)],[2812]) ).
thf(2818,plain,
! [SV432: $i,SV429: $i,SV425: $i,SV420: $i,SV414: $i] :
( ( ( SV414 = SV420 )
= $true )
| ( ( ( a_select2 @ SV425 @ SV420 )
!= SV429 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2813]) ).
thf(2819,plain,
! [SV415: $i] :
( ( ( ( SV415 = n0 )
| ( SV415 = n1 ) )
= $true )
| ( ( SV415 = n2 )
= $true )
| ( ( SV415 = n3 )
= $true )
| ( ( SV415 = n4 )
= $true )
| ( ( SV415 = n5 )
= $true )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( leq @ SV415 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2814]) ).
thf(2820,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( ~ ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) ) )
= $true )
| ( ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(2821,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ( ~ ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(2822,plain,
! [SV432: $i,SV414: $i,SV429: $i,SV420: $i,SV425: $i] :
( ( ( ( a_select2 @ SV425 @ SV420 )
= SV429 )
= $false )
| ( ( SV414 = SV420 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV425 @ SV414 @ SV432 ) @ SV420 )
= SV429 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2818]) ).
thf(2823,plain,
! [SV415: $i] :
( ( ( SV415 = n0 )
= $true )
| ( ( SV415 = n1 )
= $true )
| ( ( SV415 = n2 )
= $true )
| ( ( SV415 = n3 )
= $true )
| ( ( SV415 = n4 )
= $true )
| ( ( SV415 = n5 )
= $true )
| ( ( leq @ n0 @ SV415 )
= $false )
| ( ( leq @ SV415 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2819]) ).
thf(2824,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( ~ ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) ) )
= $false )
| ( ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2820]) ).
thf(2825,plain,
! [SV417: $i,SV431: $i,SV427: $i,SV422: $i] :
( ( ( ! [SY776: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY776 )
| ~ ( leq @ SY776 @ SV422 ) )
| ( ( a_select2 @ SV427 @ SY776 )
= SV431 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2821]) ).
thf(2826,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( ~ ( ( SV416 != SV426 ) )
| ( SV421 != SV430 ) )
= $true )
| ( ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2824]) ).
thf(2827,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
| ~ ( leq @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) @ SV422 ) )
| ( ( a_select2 @ SV427 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
= SV431 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2825]) ).
thf(2828,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( ~ ( ( SV416 != SV426 ) ) )
= $true )
| ( ( SV421 != SV430 )
= $true )
| ( ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(2829,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
| ~ ( leq @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) @ SV422 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2827]) ).
thf(2830,plain,
! [SV422: $i,SV431: $i,SV417: $i,SV427: $i] :
( ( ( ( a_select2 @ SV427 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
= SV431 )
= $false )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2827]) ).
thf(2831,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( SV416 != SV426 )
= $false )
| ( ( SV421 != SV430 )
= $true )
| ( ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(2832,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
| ~ ( leq @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) @ SV422 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2829]) ).
thf(2833,plain,
! [SV422: $i,SV431: $i,SV427: $i,SV417: $i] :
( ( ( leq @ n0 @ SV417 )
= $false )
| ( ( ( a_select2 @ SV427 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
= SV431 )
= $false )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2830]) ).
thf(2834,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV430: $i,SV421: $i,SV426: $i,SV416: $i] :
( ( ( SV416 = SV426 )
= $true )
| ( ( SV421 != SV430 )
= $true )
| ( ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2831]) ).
thf(2835,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( ~ ( leq @ n0 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
| ~ ( leq @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) @ SV422 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2832]) ).
thf(2836,plain,
! [SV431: $i,SV427: $i,SV422: $i,SV417: $i] :
( ( ( leq @ SV417 @ SV422 )
= $false )
| ( ( ( a_select2 @ SV427 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
= SV431 )
= $false )
| ( ( leq @ n0 @ SV417 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2833]) ).
thf(2837,plain,
! [SV435: $i,SV434: $i,SV433: $i,SV426: $i,SV416: $i,SV430: $i,SV421: $i] :
( ( ( SV421 = SV430 )
= $false )
| ( ( SV416 = SV426 )
= $true )
| ( ( ( a_select3 @ SV433 @ SV426 @ SV430 )
!= SV434 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(2838,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( ~ ( leq @ n0 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2835]) ).
thf(2839,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( ~ ( leq @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) @ SV422 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2835]) ).
thf(2840,plain,
! [SV435: $i,SV421: $i,SV416: $i,SV434: $i,SV430: $i,SV426: $i,SV433: $i] :
( ( ( ( a_select3 @ SV433 @ SV426 @ SV430 )
= SV434 )
= $false )
| ( ( SV416 = SV426 )
= $true )
| ( ( SV421 = SV430 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV433 @ SV416 @ SV421 @ SV435 ) @ SV426 @ SV430 )
= SV434 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2837]) ).
thf(2841,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( leq @ n0 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2838]) ).
thf(2842,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( leq @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) @ SV422 )
= $true )
| ( ( ~ ( leq @ n0 @ SV417 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2839]) ).
thf(2843,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( leq @ n0 @ SV417 )
= $false )
| ( ( leq @ n0 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(2844,plain,
! [SV422: $i,SV427: $i,SV431: $i,SV417: $i] :
( ( ( leq @ n0 @ SV417 )
= $false )
| ( ( leq @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) @ SV422 )
= $true )
| ( ( ~ ( leq @ SV417 @ SV422 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(2845,plain,
! [SV427: $i,SV431: $i,SV422: $i,SV417: $i] :
( ( ( leq @ SV417 @ SV422 )
= $false )
| ( ( leq @ n0 @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) )
= $true )
| ( ( leq @ n0 @ SV417 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2846,plain,
! [SV427: $i,SV431: $i,SV422: $i,SV417: $i] :
( ( ( leq @ SV417 @ SV422 )
= $false )
| ( ( leq @ ( sK15_SY776 @ SV417 @ SV431 @ SV427 @ SV422 ) @ SV422 )
= $true )
| ( ( leq @ n0 @ SV417 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV427 @ SV422 @ SV431 ) @ SV417 )
= SV431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(2847,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2675,2846,2845,2840,2836,2823,2822,2817,2811,2805,2797,2788,2759,2749,2727,2726,2712,2711,2710,2709,2708,2707,2706,2705,2704,2703,2702,2701,2700,2699,2698,2697,2696,2689,2688,2687,2686,2685,2684,2683,2682,2681,2680,2679,2678,2677,2676]) ).
thf(2848,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2847,341,520,699,878,1057,1236,1415,1594,1773,1952,2131,2310,2489,2668]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV102+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 16:18:44 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.06/5.04
% 29.06/5.04 No.of.Axioms: 32
% 29.06/5.04
% 29.06/5.04 Length.of.Defs: 0
% 29.06/5.04
% 29.06/5.04 Contains.Choice.Funs: false
% 29.06/5.04 ....................................................................................................
% 29.06/5.04
% 29.06/5.04 ********************************
% 29.06/5.04 * All subproblems solved! *
% 29.06/5.04 ********************************
% 29.06/5.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:44,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2847,loop_count:0,foatp_calls:1,translation:fof_full)
% 29.06/5.04
% 29.06/5.04 %**** Beginning of derivation protocol ****
% 29.06/5.04 % SZS output start CNFRefutation
% See solution above
% 29.06/5.06
% 29.06/5.06 %**** End of derivation protocol ****
% 29.06/5.06 %**** no. of clauses in derivation: 2796 ****
% 29.06/5.06 %**** clause counter: 2847 ****
% 29.06/5.06
% 29.06/5.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:44,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2847,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------