%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV104+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 : n016.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 10:54:51 AM UTC 2026
% Result : Theorem 9.32s 1.86s
% Output : CNFRefutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 33
% Syntax : Number of formulae : 1125 ( 563 unt; 0 typ; 0 def)
% Number of atoms : 9203 (5229 equ; 0 cnn)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 13532 (2658 ~;3114 |; 131 &;7546 @)
% ( 0 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 41 usr; 15 con; 0-4 aty)
% Number of variables : 2706 ( 0 ^;2706 !; 0 ?;2706 :)
% 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_sK1_SY73,type,
sK1_SY73: $i > $i > $i > $i > $i ).
thf(tp_sK2_SY122,type,
sK2_SY122: $i > $i > $i > $i > $i ).
thf(tp_sK3_SY175,type,
sK3_SY175: $i > $i > $i > $i > $i ).
thf(tp_sK4_SY226,type,
sK4_SY226: $i > $i > $i > $i > $i ).
thf(tp_sK5_SY275,type,
sK5_SY275: $i > $i > $i > $i > $i ).
thf(tp_sK6_SY322,type,
sK6_SY322: $i > $i > $i > $i > $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_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_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0016) ).
thf(86,negated_conjecture,
( ( ( ( ( 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_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[85]) ).
thf(87,plain,
( ( ( ( ( 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_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) )
= $false ),
inference(unfold_def,[status(thm)],[86]) ).
thf(88,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(89,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(90,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(91,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(92,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(93,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(94,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(95,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(96,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(97,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n5 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 )
| ( X = n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(98,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(99,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(100,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(101,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(102,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(103,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(104,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(105,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(106,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(107,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(108,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(109,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(110,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(111,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(112,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(113,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(114,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(115,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i] :
( ( ! [I0: $i] :
( ( ( leq @ n0 @ I0 )
& ( leq @ I0 @ U ) )
=> ( ( a_select2 @ X @ I0 )
= VAL ) )
& ( leq @ n0 @ I )
& ( leq @ I @ U ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ I )
= VAL ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(116,plain,
( ( ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(117,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(118,plain,
( ( ! [I: $i,J: $i,U: $i,V: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( J = V )
& ( ( a_select3 @ X @ U @ V )
= VAL ) )
=> ( ( a_select3 @ ( tptp_update3 @ X @ I @ J @ VAL2 ) @ U @ V )
= VAL ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(119,plain,
( ( ! [X: $i,U: $i,V: $i,VAL: $i] :
( ( a_select3 @ ( tptp_update3 @ X @ U @ V @ VAL ) @ U @ V )
= VAL ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(120,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(121,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(122,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(123,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(124,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(125,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(126,plain,
( ( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) )
= $false ),
inference(standard_cnf,[status(thm)],[87]) ).
thf(127,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[126]) ).
thf(128,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[126]) ).
thf(129,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[126]) ).
thf(130,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[126]) ).
thf(131,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[126]) ).
thf(132,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[126]) ).
thf(133,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[127]) ).
thf(134,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[128]) ).
thf(135,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[129]) ).
thf(136,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[130]) ).
thf(137,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[131]) ).
thf(138,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use )
= $true ),
inference(polarity_switch,[status(thm)],[132]) ).
thf(139,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(140,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(141,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(142,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(143,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(144,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(145,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(146,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(147,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(148,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(149,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(150,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(151,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(152,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(153,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(154,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(155,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(156,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(157,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(158,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(159,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(160,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(161,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(162,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(163,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(164,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(165,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(166,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(167,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(168,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(169,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(170,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(171,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(172,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(173,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(174,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(175,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(176,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(177,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(178,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(179,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(180,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(181,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(182,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(183,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)],[142]) ).
thf(184,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)],[161]) ).
thf(185,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)],[143]) ).
thf(186,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)],[140]) ).
thf(187,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)],[160]) ).
thf(188,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)],[139]) ).
thf(189,plain,
! [SV2: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ( a_select2 @ ( tptp_update2 @ SV2 @ SY33 @ SY34 ) @ SY33 )
= SY34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(190,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(191,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV3 )
| ~ ( leq @ SV3 @ n1 ) )
| ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(192,plain,
! [SV4: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV4 )
| ~ ( leq @ SV4 @ n3 ) )
| ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 )
| ( SV4 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(193,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n2 ) )
| ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(194,plain,
! [SV6: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n0 ) )
| ( SV6 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(195,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(196,plain,
! [SV7: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( ( SV7 != SY35 ) )
| ( ( a_select2 @ SY36 @ SY35 )
!= SY37 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY36 @ SV7 @ SY38 ) @ SY35 )
= SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(197,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n5 ) )
| ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 )
| ( SV8 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(198,plain,
! [SV9: $i] :
( ( ! [SY39: $i,SY40: $i,SY41: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY39 ) )
| ( ( a_select2 @ SY40 @ SX4 )
= SY41 ) )
| ~ ( leq @ n0 @ SV9 ) )
| ~ ( leq @ SV9 @ SY39 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY40 @ SY39 @ SY41 ) @ SV9 )
= SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV10: $i] :
( ( ! [SY43: $i,SY44: $i,SY45: $i,SY46: $i,SY47: $i,SY48: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV10 != SY44 ) )
| ( SY43 != SY45 ) )
| ( ( a_select3 @ SY46 @ SY44 @ SY45 )
!= SY47 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY46 @ SV10 @ SY43 @ SY48 ) @ SY44 @ SY45 )
= SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(200,plain,
! [SV11: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV11 )
| ~ ( leq @ SV11 @ n4 ) )
| ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 )
| ( SV11 = n3 )
| ( SV11 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(201,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)],[188]) ).
thf(202,plain,
! [SV13: $i,SV2: $i] :
( ( ! [SY51: $i] :
( ( a_select2 @ ( tptp_update2 @ SV2 @ SV13 @ SY51 ) @ SV13 )
= SY51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(203,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV3 )
| ~ ( leq @ SV3 @ n1 ) ) )
= $true )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(204,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV4 )
| ~ ( leq @ SV4 @ n3 ) ) )
= $true )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 )
| ( SV4 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(205,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n2 ) ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(206,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n0 ) ) )
= $true )
| ( ( SV6 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(207,plain,
! [SV14: $i,SV7: $i] :
( ( ! [SY52: $i,SY53: $i,SY54: $i] :
( ~ ~ ( ~ ( ( SV7 != SV14 ) )
| ( ( a_select2 @ SY52 @ SV14 )
!= SY53 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY52 @ SV7 @ SY54 ) @ SV14 )
= SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(208,plain,
! [SV8: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n5 ) ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 )
| ( SV8 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(209,plain,
! [SV9: $i,SV15: $i] :
( ( ! [SY55: $i,SY56: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY57: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY57 )
| ~ ( leq @ SY57 @ SV15 ) )
| ( ( a_select2 @ SY55 @ SY57 )
= SY56 ) )
| ~ ( leq @ n0 @ SV9 ) )
| ~ ( leq @ SV9 @ SV15 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY55 @ SV15 @ SY56 ) @ SV9 )
= SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(210,plain,
! [SV16: $i,SV10: $i] :
( ( ! [SY58: $i,SY59: $i,SY60: $i,SY61: $i,SY62: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV10 != SY58 ) )
| ( SV16 != SY59 ) )
| ( ( a_select3 @ SY60 @ SY58 @ SY59 )
!= SY61 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY60 @ SV10 @ SV16 @ SY62 ) @ SY58 @ SY59 )
= SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(211,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV11 )
| ~ ( leq @ SV11 @ n4 ) ) )
= $true )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 )
| ( SV11 = n3 )
| ( SV11 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(212,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)],[201]) ).
thf(213,plain,
! [SV18: $i,SV13: $i,SV2: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV2 @ SV13 @ SV18 ) @ SV13 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(214,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV3 )
| ~ ( leq @ SV3 @ n1 ) ) )
= $false )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(215,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV4 )
| ~ ( leq @ SV4 @ n3 ) ) )
= $false )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 )
| ( SV4 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(216,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n2 ) ) )
= $false )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(217,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n0 ) ) )
= $false )
| ( ( SV6 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(218,plain,
! [SV19: $i,SV14: $i,SV7: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ~ ~ ( ~ ( ( SV7 != SV14 ) )
| ( ( a_select2 @ SV19 @ SV14 )
!= SY64 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SY65 ) @ SV14 )
= SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(219,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n5 ) ) )
= $false )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 )
| ( SV8 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(220,plain,
! [SV9: $i,SV20: $i,SV15: $i] :
( ( ! [SY66: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY67 )
| ~ ( leq @ SY67 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY67 )
= SY66 ) )
| ~ ( leq @ n0 @ SV9 ) )
| ~ ( leq @ SV9 @ SV15 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SY66 ) @ SV9 )
= SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(221,plain,
! [SV16: $i,SV21: $i,SV10: $i] :
( ( ! [SY68: $i,SY69: $i,SY70: $i,SY71: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SY68 ) )
| ( ( a_select3 @ SY69 @ SV21 @ SY68 )
!= SY70 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY69 @ SV10 @ SV16 @ SY71 ) @ SV21 @ SY68 )
= SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(222,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV11 )
| ~ ( leq @ SV11 @ n4 ) ) )
= $false )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 )
| ( SV11 = n3 )
| ( SV11 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(223,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)],[212]) ).
thf(224,plain,
! [SV3: $i] :
( ( ( ~ ( leq @ n0 @ SV3 )
| ~ ( leq @ SV3 @ n1 ) )
= $true )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(225,plain,
! [SV4: $i] :
( ( ( ~ ( leq @ n0 @ SV4 )
| ~ ( leq @ SV4 @ n3 ) )
= $true )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 )
| ( SV4 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(226,plain,
! [SV5: $i] :
( ( ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n2 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(227,plain,
! [SV6: $i] :
( ( ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n0 ) )
= $true )
| ( ( SV6 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(228,plain,
! [SV23: $i,SV19: $i,SV14: $i,SV7: $i] :
( ( ! [SY72: $i] :
( ~ ~ ( ~ ( ( SV7 != SV14 ) )
| ( ( a_select2 @ SV19 @ SV14 )
!= SV23 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SY72 ) @ SV14 )
= SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(229,plain,
! [SV8: $i] :
( ( ( ~ ( leq @ n0 @ SV8 )
| ~ ( leq @ SV8 @ n5 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 )
| ( SV8 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(230,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) )
| ~ ( leq @ n0 @ SV9 ) )
| ~ ( leq @ SV9 @ SV15 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(231,plain,
! [SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ! [SY74: $i,SY75: $i,SY76: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) )
| ( ( a_select3 @ SY74 @ SV21 @ SV25 )
!= SY75 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY74 @ SV10 @ SV16 @ SY76 ) @ SV21 @ SV25 )
= SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(232,plain,
! [SV11: $i] :
( ( ( ~ ( leq @ n0 @ SV11 )
| ~ ( leq @ SV11 @ n4 ) )
= $true )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 )
| ( SV11 = n3 )
| ( SV11 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(233,plain,
! [SV3: $i] :
( ( ( ~ ( leq @ n0 @ SV3 ) )
= $true )
| ( ( ~ ( leq @ SV3 @ n1 ) )
= $true )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(234,plain,
! [SV4: $i] :
( ( ( ~ ( leq @ n0 @ SV4 ) )
= $true )
| ( ( ~ ( leq @ SV4 @ n3 ) )
= $true )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 )
| ( SV4 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(235,plain,
! [SV5: $i] :
( ( ( ~ ( leq @ n0 @ SV5 ) )
= $true )
| ( ( ~ ( leq @ SV5 @ n2 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(236,plain,
! [SV6: $i] :
( ( ( ~ ( leq @ n0 @ SV6 ) )
= $true )
| ( ( ~ ( leq @ SV6 @ n0 ) )
= $true )
| ( ( SV6 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(237,plain,
! [SV26: $i,SV23: $i,SV19: $i,SV14: $i,SV7: $i] :
( ( ~ ~ ( ~ ( ( SV7 != SV14 ) )
| ( ( a_select2 @ SV19 @ SV14 )
!= SV23 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SV26 ) @ SV14 )
= SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(238,plain,
! [SV8: $i] :
( ( ( ~ ( leq @ n0 @ SV8 ) )
= $true )
| ( ( ~ ( leq @ SV8 @ n5 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 )
| ( SV8 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) )
| ~ ( leq @ n0 @ SV9 ) )
| ~ ( leq @ SV9 @ SV15 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(240,plain,
! [SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ! [SY77: $i,SY78: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) )
| ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SY77 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SY78 ) @ SV21 @ SV25 )
= SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(241,plain,
! [SV11: $i] :
( ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ n4 ) )
= $true )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 )
| ( SV11 = n3 )
| ( SV11 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(242,plain,
! [SV3: $i] :
( ( ( leq @ n0 @ SV3 )
= $false )
| ( ( ~ ( leq @ SV3 @ n1 ) )
= $true )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(243,plain,
! [SV4: $i] :
( ( ( leq @ n0 @ SV4 )
= $false )
| ( ( ~ ( leq @ SV4 @ n3 ) )
= $true )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 )
| ( SV4 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(244,plain,
! [SV5: $i] :
( ( ( leq @ n0 @ SV5 )
= $false )
| ( ( ~ ( leq @ SV5 @ n2 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(245,plain,
! [SV6: $i] :
( ( ( leq @ n0 @ SV6 )
= $false )
| ( ( ~ ( leq @ SV6 @ n0 ) )
= $true )
| ( ( SV6 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(246,plain,
! [SV26: $i,SV23: $i,SV19: $i,SV14: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ( SV7 != SV14 ) )
| ( ( a_select2 @ SV19 @ SV14 )
!= SV23 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SV26 ) @ SV14 )
= SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(247,plain,
! [SV8: $i] :
( ( ( leq @ n0 @ SV8 )
= $false )
| ( ( ~ ( leq @ SV8 @ n5 ) )
= $true )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 )
| ( SV8 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(248,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) )
| ~ ( leq @ n0 @ SV9 ) )
| ~ ( leq @ SV9 @ SV15 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(249,plain,
! [SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ! [SY79: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) )
| ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SY79 ) @ SV21 @ SV25 )
= SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(250,plain,
! [SV11: $i] :
( ( ( leq @ n0 @ SV11 )
= $false )
| ( ( ~ ( leq @ SV11 @ n4 ) )
= $true )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 )
| ( SV11 = n3 )
| ( SV11 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(251,plain,
! [SV3: $i] :
( ( ( leq @ SV3 @ n1 )
= $false )
| ( ( leq @ n0 @ SV3 )
= $false )
| ( ( ( SV3 = n0 )
| ( SV3 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(252,plain,
! [SV4: $i] :
( ( ( leq @ SV4 @ n3 )
= $false )
| ( ( leq @ n0 @ SV4 )
= $false )
| ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 )
| ( SV4 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(253,plain,
! [SV5: $i] :
( ( ( leq @ SV5 @ n2 )
= $false )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(254,plain,
! [SV6: $i] :
( ( ( leq @ SV6 @ n0 )
= $false )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( SV6 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(255,plain,
! [SV26: $i,SV23: $i,SV19: $i,SV14: $i,SV7: $i] :
( ( ( ~ ( ~ ( ( SV7 != SV14 ) )
| ( ( a_select2 @ SV19 @ SV14 )
!= SV23 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SV26 ) @ SV14 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(256,plain,
! [SV8: $i] :
( ( ( leq @ SV8 @ n5 )
= $false )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 )
| ( SV8 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(257,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) )
| ~ ( leq @ n0 @ SV9 ) )
| ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(258,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) )
| ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(259,plain,
! [SV11: $i] :
( ( ( leq @ SV11 @ n4 )
= $false )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 )
| ( SV11 = n3 )
| ( SV11 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(260,plain,
! [SV3: $i] :
( ( ( SV3 = n0 )
= $true )
| ( ( SV3 = n1 )
= $true )
| ( ( leq @ n0 @ SV3 )
= $false )
| ( ( leq @ SV3 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(261,plain,
! [SV4: $i] :
( ( ( ( SV4 = n0 )
| ( SV4 = n1 )
| ( SV4 = n2 ) )
= $true )
| ( ( SV4 = n3 )
= $true )
| ( ( leq @ n0 @ SV4 )
= $false )
| ( ( leq @ SV4 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(262,plain,
! [SV5: $i] :
( ( ( ( SV5 = n0 )
| ( SV5 = n1 ) )
= $true )
| ( ( SV5 = n2 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(263,plain,
! [SV26: $i,SV23: $i,SV19: $i,SV14: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != SV14 ) )
| ( ( a_select2 @ SV19 @ SV14 )
!= SV23 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SV26 ) @ SV14 )
= SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(264,plain,
! [SV8: $i] :
( ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 )
| ( SV8 = n4 ) )
= $true )
| ( ( SV8 = n5 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(265,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) )
| ~ ( leq @ n0 @ SV9 ) ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(266,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) )
| ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(267,plain,
! [SV11: $i] :
( ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 )
| ( SV11 = n3 ) )
= $true )
| ( ( SV11 = n4 )
= $true )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ SV11 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(268,plain,
! [SV4: $i] :
( ( ( ( SV4 = n0 )
| ( SV4 = n1 ) )
= $true )
| ( ( SV4 = n2 )
= $true )
| ( ( SV4 = n3 )
= $true )
| ( ( leq @ n0 @ SV4 )
= $false )
| ( ( leq @ SV4 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(269,plain,
! [SV5: $i] :
( ( ( SV5 = n0 )
= $true )
| ( ( SV5 = n1 )
= $true )
| ( ( SV5 = n2 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(270,plain,
! [SV26: $i,SV23: $i,SV19: $i,SV14: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != SV14 ) ) )
= $true )
| ( ( ( a_select2 @ SV19 @ SV14 )
!= SV23 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SV26 ) @ SV14 )
= SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(271,plain,
! [SV8: $i] :
( ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 )
| ( SV8 = n3 ) )
= $true )
| ( ( SV8 = n4 )
= $true )
| ( ( SV8 = n5 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(272,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ( ~ ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) )
| ~ ( leq @ n0 @ SV9 ) ) )
= $false )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(273,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) )
| ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(274,plain,
! [SV11: $i] :
( ( ( ( SV11 = n0 )
| ( SV11 = n1 )
| ( SV11 = n2 ) )
= $true )
| ( ( SV11 = n3 )
= $true )
| ( ( SV11 = n4 )
= $true )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ SV11 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(275,plain,
! [SV4: $i] :
( ( ( SV4 = n0 )
= $true )
| ( ( SV4 = n1 )
= $true )
| ( ( SV4 = n2 )
= $true )
| ( ( SV4 = n3 )
= $true )
| ( ( leq @ n0 @ SV4 )
= $false )
| ( ( leq @ SV4 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(276,plain,
! [SV26: $i,SV23: $i,SV19: $i,SV14: $i,SV7: $i] :
( ( ( SV7 != SV14 )
= $false )
| ( ( ( a_select2 @ SV19 @ SV14 )
!= SV23 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SV26 ) @ SV14 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(277,plain,
! [SV8: $i] :
( ( ( ( SV8 = n0 )
| ( SV8 = n1 )
| ( SV8 = n2 ) )
= $true )
| ( ( SV8 = n3 )
= $true )
| ( ( SV8 = n4 )
= $true )
| ( ( SV8 = n5 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(278,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) )
| ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(279,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) )
| ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(280,plain,
! [SV11: $i] :
( ( ( ( SV11 = n0 )
| ( SV11 = n1 ) )
= $true )
| ( ( SV11 = n2 )
= $true )
| ( ( SV11 = n3 )
= $true )
| ( ( SV11 = n4 )
= $true )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ SV11 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(281,plain,
! [SV26: $i,SV23: $i,SV19: $i,SV14: $i,SV7: $i] :
( ( ( SV7 = SV14 )
= $true )
| ( ( ( a_select2 @ SV19 @ SV14 )
!= SV23 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SV26 ) @ SV14 )
= SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(282,plain,
! [SV8: $i] :
( ( ( ( SV8 = n0 )
| ( SV8 = n1 ) )
= $true )
| ( ( SV8 = n2 )
= $true )
| ( ( SV8 = n3 )
= $true )
| ( ( SV8 = n4 )
= $true )
| ( ( SV8 = n5 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(283,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(284,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) ) )
= $true )
| ( ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(285,plain,
! [SV11: $i] :
( ( ( SV11 = n0 )
= $true )
| ( ( SV11 = n1 )
= $true )
| ( ( SV11 = n2 )
= $true )
| ( ( SV11 = n3 )
= $true )
| ( ( SV11 = n4 )
= $true )
| ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ SV11 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(286,plain,
! [SV26: $i,SV7: $i,SV23: $i,SV14: $i,SV19: $i] :
( ( ( ( a_select2 @ SV19 @ SV14 )
= SV23 )
= $false )
| ( ( SV7 = SV14 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV19 @ SV7 @ SV26 ) @ SV14 )
= SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(287,plain,
! [SV8: $i] :
( ( ( SV8 = n0 )
= $true )
| ( ( SV8 = n1 )
= $true )
| ( ( SV8 = n2 )
= $true )
| ( ( SV8 = n3 )
= $true )
| ( ( SV8 = n4 )
= $true )
| ( ( SV8 = n5 )
= $true )
| ( ( leq @ n0 @ SV8 )
= $false )
| ( ( leq @ SV8 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(288,plain,
! [SV9: $i,SV24: $i,SV20: $i,SV15: $i] :
( ( ( ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV15 ) )
| ( ( a_select2 @ SV20 @ SY73 )
= SV24 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(289,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( ~ ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) ) )
= $false )
| ( ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(290,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
| ~ ( leq @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) @ SV15 ) )
| ( ( a_select2 @ SV20 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
= SV24 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(291,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( ~ ( ( SV10 != SV21 ) )
| ( SV16 != SV25 ) )
= $true )
| ( ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(292,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
| ~ ( leq @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) @ SV15 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(293,plain,
! [SV15: $i,SV24: $i,SV9: $i,SV20: $i] :
( ( ( ( a_select2 @ SV20 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
= SV24 )
= $false )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(294,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( ~ ( ( SV10 != SV21 ) ) )
= $true )
| ( ( SV16 != SV25 )
= $true )
| ( ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(295,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
| ~ ( leq @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) @ SV15 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(296,plain,
! [SV15: $i,SV24: $i,SV20: $i,SV9: $i] :
( ( ( leq @ n0 @ SV9 )
= $false )
| ( ( ( a_select2 @ SV20 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
= SV24 )
= $false )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(297,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( SV10 != SV21 )
= $false )
| ( ( SV16 != SV25 )
= $true )
| ( ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(298,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( leq @ n0 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
| ~ ( leq @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) @ SV15 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(299,plain,
! [SV24: $i,SV20: $i,SV15: $i,SV9: $i] :
( ( ( leq @ SV9 @ SV15 )
= $false )
| ( ( ( a_select2 @ SV20 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
= SV24 )
= $false )
| ( ( leq @ n0 @ SV9 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(300,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV25: $i,SV16: $i,SV21: $i,SV10: $i] :
( ( ( SV10 = SV21 )
= $true )
| ( ( SV16 != SV25 )
= $true )
| ( ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(301,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( leq @ n0 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(302,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( leq @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) @ SV15 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(303,plain,
! [SV29: $i,SV28: $i,SV27: $i,SV21: $i,SV10: $i,SV25: $i,SV16: $i] :
( ( ( SV16 = SV25 )
= $false )
| ( ( SV10 = SV21 )
= $true )
| ( ( ( a_select3 @ SV27 @ SV21 @ SV25 )
!= SV28 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(304,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( leq @ n0 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(305,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( leq @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) @ SV15 )
= $true )
| ( ( ~ ( leq @ n0 @ SV9 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(306,plain,
! [SV29: $i,SV16: $i,SV10: $i,SV28: $i,SV25: $i,SV21: $i,SV27: $i] :
( ( ( ( a_select3 @ SV27 @ SV21 @ SV25 )
= SV28 )
= $false )
| ( ( SV10 = SV21 )
= $true )
| ( ( SV16 = SV25 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV27 @ SV10 @ SV16 @ SV29 ) @ SV21 @ SV25 )
= SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(307,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( leq @ n0 @ SV9 )
= $false )
| ( ( leq @ n0 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(308,plain,
! [SV15: $i,SV20: $i,SV24: $i,SV9: $i] :
( ( ( leq @ n0 @ SV9 )
= $false )
| ( ( leq @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) @ SV15 )
= $true )
| ( ( ~ ( leq @ SV9 @ SV15 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(309,plain,
! [SV20: $i,SV24: $i,SV15: $i,SV9: $i] :
( ( ( leq @ SV9 @ SV15 )
= $false )
| ( ( leq @ n0 @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) )
= $true )
| ( ( leq @ n0 @ SV9 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(310,plain,
! [SV20: $i,SV24: $i,SV15: $i,SV9: $i] :
( ( ( leq @ SV9 @ SV15 )
= $false )
| ( ( leq @ ( sK1_SY73 @ SV9 @ SV24 @ SV20 @ SV15 ) @ SV15 )
= $true )
| ( ( leq @ n0 @ SV9 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV20 @ SV15 @ SV24 ) @ SV9 )
= SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(311,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[145,310,309,306,299,287,286,285,275,269,260,254,223,213,195,190,176,175,174,173,172,171,170,169,168,167,166,159,158,157,156,155,154,153,152,151,150,149,148,147,146]) ).
thf(312,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(313,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(314,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(315,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(316,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(317,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(318,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(319,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(320,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(321,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(322,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(323,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(324,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(325,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(326,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(327,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(328,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(329,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(330,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(331,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(332,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(333,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(334,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(335,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(336,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(337,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(338,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(339,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(340,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(341,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(342,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(343,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(344,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(345,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(346,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(347,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(348,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(349,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(350,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(351,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(352,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)],[316]) ).
thf(353,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(354,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(355,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(356,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)],[333]) ).
thf(357,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)],[315]) ).
thf(358,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(359,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)],[334]) ).
thf(360,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)],[313]) ).
thf(361,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)],[312]) ).
thf(362,plain,
! [SV31: $i] :
( ( ! [SY83: $i,SY84: $i] :
( ( a_select2 @ ( tptp_update2 @ SV31 @ SY83 @ SY84 ) @ SY83 )
= SY84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(363,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(364,plain,
! [SV32: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV32 )
| ~ ( leq @ SV32 @ n1 ) )
| ( SV32 = n0 )
| ( SV32 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(365,plain,
! [SV33: $i] :
( ( ! [SY85: $i,SY86: $i,SY87: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY85 ) )
| ( ( a_select2 @ SY86 @ SX4 )
= SY87 ) )
| ~ ( leq @ n0 @ SV33 ) )
| ~ ( leq @ SV33 @ SY85 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY86 @ SY85 @ SY87 ) @ SV33 )
= SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(366,plain,
! [SV34: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV34 )
| ~ ( leq @ SV34 @ n2 ) )
| ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(367,plain,
! [SV35: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV35 )
| ~ ( leq @ SV35 @ n3 ) )
| ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(368,plain,
! [SV36: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n0 ) )
| ( SV36 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(369,plain,
! [SV37: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV37 )
| ~ ( leq @ SV37 @ n4 ) )
| ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 )
| ( SV37 = n3 )
| ( SV37 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(370,plain,
! [SV38: $i] :
( ( ! [SY89: $i,SY90: $i,SY91: $i,SY92: $i] :
( ~ ~ ( ~ ( ( SV38 != SY89 ) )
| ( ( a_select2 @ SY90 @ SY89 )
!= SY91 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY90 @ SV38 @ SY92 ) @ SY89 )
= SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(371,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(372,plain,
! [SV39: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n5 ) )
| ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 )
| ( SV39 = n4 )
| ( SV39 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(373,plain,
! [SV40: $i] :
( ( ! [SY93: $i,SY94: $i,SY95: $i,SY96: $i,SY97: $i,SY98: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV40 != SY94 ) )
| ( SY93 != SY95 ) )
| ( ( a_select3 @ SY96 @ SY94 @ SY95 )
!= SY97 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY96 @ SV40 @ SY93 @ SY98 ) @ SY94 @ SY95 )
= SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(374,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)],[361]) ).
thf(375,plain,
! [SV42: $i,SV31: $i] :
( ( ! [SY101: $i] :
( ( a_select2 @ ( tptp_update2 @ SV31 @ SV42 @ SY101 ) @ SV42 )
= SY101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(376,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV32 )
| ~ ( leq @ SV32 @ n1 ) ) )
= $true )
| ( ( ( SV32 = n0 )
| ( SV32 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(377,plain,
! [SV33: $i,SV43: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY104: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY104 )
| ~ ( leq @ SY104 @ SV43 ) )
| ( ( a_select2 @ SY102 @ SY104 )
= SY103 ) )
| ~ ( leq @ n0 @ SV33 ) )
| ~ ( leq @ SV33 @ SV43 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY102 @ SV43 @ SY103 ) @ SV33 )
= SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(378,plain,
! [SV34: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV34 )
| ~ ( leq @ SV34 @ n2 ) ) )
= $true )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(379,plain,
! [SV35: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV35 )
| ~ ( leq @ SV35 @ n3 ) ) )
= $true )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(380,plain,
! [SV36: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n0 ) ) )
= $true )
| ( ( SV36 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(381,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV37 )
| ~ ( leq @ SV37 @ n4 ) ) )
= $true )
| ( ( ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 )
| ( SV37 = n3 )
| ( SV37 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(382,plain,
! [SV44: $i,SV38: $i] :
( ( ! [SY105: $i,SY106: $i,SY107: $i] :
( ~ ~ ( ~ ( ( SV38 != SV44 ) )
| ( ( a_select2 @ SY105 @ SV44 )
!= SY106 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY105 @ SV38 @ SY107 ) @ SV44 )
= SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(383,plain,
! [SV39: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n5 ) ) )
= $true )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 )
| ( SV39 = n4 )
| ( SV39 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(384,plain,
! [SV45: $i,SV40: $i] :
( ( ! [SY108: $i,SY109: $i,SY110: $i,SY111: $i,SY112: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV40 != SY108 ) )
| ( SV45 != SY109 ) )
| ( ( a_select3 @ SY110 @ SY108 @ SY109 )
!= SY111 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY110 @ SV40 @ SV45 @ SY112 ) @ SY108 @ SY109 )
= SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(385,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)],[374]) ).
thf(386,plain,
! [SV47: $i,SV42: $i,SV31: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV31 @ SV42 @ SV47 ) @ SV42 )
= SV47 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(387,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV32 )
| ~ ( leq @ SV32 @ n1 ) ) )
= $false )
| ( ( ( SV32 = n0 )
| ( SV32 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(388,plain,
! [SV33: $i,SV48: $i,SV43: $i] :
( ( ! [SY114: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY115: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY115 )
| ~ ( leq @ SY115 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY115 )
= SY114 ) )
| ~ ( leq @ n0 @ SV33 ) )
| ~ ( leq @ SV33 @ SV43 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SY114 ) @ SV33 )
= SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(389,plain,
! [SV34: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV34 )
| ~ ( leq @ SV34 @ n2 ) ) )
= $false )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(390,plain,
! [SV35: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV35 )
| ~ ( leq @ SV35 @ n3 ) ) )
= $false )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(391,plain,
! [SV36: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n0 ) ) )
= $false )
| ( ( SV36 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(392,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV37 )
| ~ ( leq @ SV37 @ n4 ) ) )
= $false )
| ( ( ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 )
| ( SV37 = n3 )
| ( SV37 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(393,plain,
! [SV49: $i,SV44: $i,SV38: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ~ ~ ( ~ ( ( SV38 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SY116 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SY117 ) @ SV44 )
= SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(394,plain,
! [SV39: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n5 ) ) )
= $false )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 )
| ( SV39 = n4 )
| ( SV39 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(395,plain,
! [SV45: $i,SV50: $i,SV40: $i] :
( ( ! [SY118: $i,SY119: $i,SY120: $i,SY121: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SY118 ) )
| ( ( a_select3 @ SY119 @ SV50 @ SY118 )
!= SY120 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY119 @ SV40 @ SV45 @ SY121 ) @ SV50 @ SY118 )
= SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(396,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)],[385]) ).
thf(397,plain,
! [SV32: $i] :
( ( ( ~ ( leq @ n0 @ SV32 )
| ~ ( leq @ SV32 @ n1 ) )
= $true )
| ( ( ( SV32 = n0 )
| ( SV32 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(398,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV33 ) )
| ~ ( leq @ SV33 @ SV43 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(399,plain,
! [SV34: $i] :
( ( ( ~ ( leq @ n0 @ SV34 )
| ~ ( leq @ SV34 @ n2 ) )
= $true )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(400,plain,
! [SV35: $i] :
( ( ( ~ ( leq @ n0 @ SV35 )
| ~ ( leq @ SV35 @ n3 ) )
= $true )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(401,plain,
! [SV36: $i] :
( ( ( ~ ( leq @ n0 @ SV36 )
| ~ ( leq @ SV36 @ n0 ) )
= $true )
| ( ( SV36 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(402,plain,
! [SV37: $i] :
( ( ( ~ ( leq @ n0 @ SV37 )
| ~ ( leq @ SV37 @ n4 ) )
= $true )
| ( ( ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 )
| ( SV37 = n3 )
| ( SV37 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(403,plain,
! [SV53: $i,SV49: $i,SV44: $i,SV38: $i] :
( ( ! [SY123: $i] :
( ~ ~ ( ~ ( ( SV38 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SY123 ) @ SV44 )
= SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(404,plain,
! [SV39: $i] :
( ( ( ~ ( leq @ n0 @ SV39 )
| ~ ( leq @ SV39 @ n5 ) )
= $true )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 )
| ( SV39 = n4 )
| ( SV39 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(405,plain,
! [SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ! [SY124: $i,SY125: $i,SY126: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) )
| ( ( a_select3 @ SY124 @ SV50 @ SV54 )
!= SY125 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY124 @ SV40 @ SV45 @ SY126 ) @ SV50 @ SV54 )
= SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(406,plain,
! [SV32: $i] :
( ( ( ~ ( leq @ n0 @ SV32 ) )
= $true )
| ( ( ~ ( leq @ SV32 @ n1 ) )
= $true )
| ( ( ( SV32 = n0 )
| ( SV32 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(407,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV33 ) )
| ~ ( leq @ SV33 @ SV43 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(408,plain,
! [SV34: $i] :
( ( ( ~ ( leq @ n0 @ SV34 ) )
= $true )
| ( ( ~ ( leq @ SV34 @ n2 ) )
= $true )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(409,plain,
! [SV35: $i] :
( ( ( ~ ( leq @ n0 @ SV35 ) )
= $true )
| ( ( ~ ( leq @ SV35 @ n3 ) )
= $true )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(410,plain,
! [SV36: $i] :
( ( ( ~ ( leq @ n0 @ SV36 ) )
= $true )
| ( ( ~ ( leq @ SV36 @ n0 ) )
= $true )
| ( ( SV36 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(411,plain,
! [SV37: $i] :
( ( ( ~ ( leq @ n0 @ SV37 ) )
= $true )
| ( ( ~ ( leq @ SV37 @ n4 ) )
= $true )
| ( ( ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 )
| ( SV37 = n3 )
| ( SV37 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(412,plain,
! [SV55: $i,SV53: $i,SV49: $i,SV44: $i,SV38: $i] :
( ( ~ ~ ( ~ ( ( SV38 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SV55 ) @ SV44 )
= SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(413,plain,
! [SV39: $i] :
( ( ( ~ ( leq @ n0 @ SV39 ) )
= $true )
| ( ( ~ ( leq @ SV39 @ n5 ) )
= $true )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 )
| ( SV39 = n4 )
| ( SV39 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(414,plain,
! [SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) )
| ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SY127 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SY128 ) @ SV50 @ SV54 )
= SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(415,plain,
! [SV32: $i] :
( ( ( leq @ n0 @ SV32 )
= $false )
| ( ( ~ ( leq @ SV32 @ n1 ) )
= $true )
| ( ( ( SV32 = n0 )
| ( SV32 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(416,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV33 ) )
| ~ ( leq @ SV33 @ SV43 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(417,plain,
! [SV34: $i] :
( ( ( leq @ n0 @ SV34 )
= $false )
| ( ( ~ ( leq @ SV34 @ n2 ) )
= $true )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(418,plain,
! [SV35: $i] :
( ( ( leq @ n0 @ SV35 )
= $false )
| ( ( ~ ( leq @ SV35 @ n3 ) )
= $true )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(419,plain,
! [SV36: $i] :
( ( ( leq @ n0 @ SV36 )
= $false )
| ( ( ~ ( leq @ SV36 @ n0 ) )
= $true )
| ( ( SV36 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(420,plain,
! [SV37: $i] :
( ( ( leq @ n0 @ SV37 )
= $false )
| ( ( ~ ( leq @ SV37 @ n4 ) )
= $true )
| ( ( ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 )
| ( SV37 = n3 )
| ( SV37 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(421,plain,
! [SV55: $i,SV53: $i,SV49: $i,SV44: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( ( SV38 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SV55 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(422,plain,
! [SV39: $i] :
( ( ( leq @ n0 @ SV39 )
= $false )
| ( ( ~ ( leq @ SV39 @ n5 ) )
= $true )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 )
| ( SV39 = n4 )
| ( SV39 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(423,plain,
! [SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ! [SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) )
| ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SY129 ) @ SV50 @ SV54 )
= SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(424,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ n1 )
= $false )
| ( ( leq @ n0 @ SV32 )
= $false )
| ( ( ( SV32 = n0 )
| ( SV32 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(425,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV33 ) )
| ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(426,plain,
! [SV34: $i] :
( ( ( leq @ SV34 @ n2 )
= $false )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( ( SV34 = n0 )
| ( SV34 = n1 )
| ( SV34 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(427,plain,
! [SV35: $i] :
( ( ( leq @ SV35 @ n3 )
= $false )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 )
| ( SV35 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(428,plain,
! [SV36: $i] :
( ( ( leq @ SV36 @ n0 )
= $false )
| ( ( leq @ n0 @ SV36 )
= $false )
| ( ( SV36 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(429,plain,
! [SV37: $i] :
( ( ( leq @ SV37 @ n4 )
= $false )
| ( ( leq @ n0 @ SV37 )
= $false )
| ( ( ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 )
| ( SV37 = n3 )
| ( SV37 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(430,plain,
! [SV55: $i,SV53: $i,SV49: $i,SV44: $i,SV38: $i] :
( ( ( ~ ( ~ ( ( SV38 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SV55 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(431,plain,
! [SV39: $i] :
( ( ( leq @ SV39 @ n5 )
= $false )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 )
| ( SV39 = n4 )
| ( SV39 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(432,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) )
| ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(433,plain,
! [SV32: $i] :
( ( ( SV32 = n0 )
= $true )
| ( ( SV32 = n1 )
= $true )
| ( ( leq @ n0 @ SV32 )
= $false )
| ( ( leq @ SV32 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(434,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV33 ) ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(435,plain,
! [SV34: $i] :
( ( ( ( SV34 = n0 )
| ( SV34 = n1 ) )
= $true )
| ( ( SV34 = n2 )
= $true )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( leq @ SV34 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(436,plain,
! [SV35: $i] :
( ( ( ( SV35 = n0 )
| ( SV35 = n1 )
| ( SV35 = n2 ) )
= $true )
| ( ( SV35 = n3 )
= $true )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( leq @ SV35 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(437,plain,
! [SV37: $i] :
( ( ( ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 )
| ( SV37 = n3 ) )
= $true )
| ( ( SV37 = n4 )
= $true )
| ( ( leq @ n0 @ SV37 )
= $false )
| ( ( leq @ SV37 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(438,plain,
! [SV55: $i,SV53: $i,SV49: $i,SV44: $i,SV38: $i] :
( ( ( ~ ( ( SV38 != SV44 ) )
| ( ( a_select2 @ SV49 @ SV44 )
!= SV53 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SV55 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(439,plain,
! [SV39: $i] :
( ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 )
| ( SV39 = n4 ) )
= $true )
| ( ( SV39 = n5 )
= $true )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( leq @ SV39 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(440,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) )
| ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(441,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV33 ) ) )
= $false )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(442,plain,
! [SV34: $i] :
( ( ( SV34 = n0 )
= $true )
| ( ( SV34 = n1 )
= $true )
| ( ( SV34 = n2 )
= $true )
| ( ( leq @ n0 @ SV34 )
= $false )
| ( ( leq @ SV34 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(443,plain,
! [SV35: $i] :
( ( ( ( SV35 = n0 )
| ( SV35 = n1 ) )
= $true )
| ( ( SV35 = n2 )
= $true )
| ( ( SV35 = n3 )
= $true )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( leq @ SV35 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(444,plain,
! [SV37: $i] :
( ( ( ( SV37 = n0 )
| ( SV37 = n1 )
| ( SV37 = n2 ) )
= $true )
| ( ( SV37 = n3 )
= $true )
| ( ( SV37 = n4 )
= $true )
| ( ( leq @ n0 @ SV37 )
= $false )
| ( ( leq @ SV37 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(445,plain,
! [SV55: $i,SV53: $i,SV49: $i,SV44: $i,SV38: $i] :
( ( ( ~ ( ( SV38 != SV44 ) ) )
= $true )
| ( ( ( a_select2 @ SV49 @ SV44 )
!= SV53 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SV55 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(446,plain,
! [SV39: $i] :
( ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 )
| ( SV39 = n3 ) )
= $true )
| ( ( SV39 = n4 )
= $true )
| ( ( SV39 = n5 )
= $true )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( leq @ SV39 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(447,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) )
| ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(448,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) )
| ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(449,plain,
! [SV35: $i] :
( ( ( SV35 = n0 )
= $true )
| ( ( SV35 = n1 )
= $true )
| ( ( SV35 = n2 )
= $true )
| ( ( SV35 = n3 )
= $true )
| ( ( leq @ n0 @ SV35 )
= $false )
| ( ( leq @ SV35 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(450,plain,
! [SV37: $i] :
( ( ( ( SV37 = n0 )
| ( SV37 = n1 ) )
= $true )
| ( ( SV37 = n2 )
= $true )
| ( ( SV37 = n3 )
= $true )
| ( ( SV37 = n4 )
= $true )
| ( ( leq @ n0 @ SV37 )
= $false )
| ( ( leq @ SV37 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(451,plain,
! [SV55: $i,SV53: $i,SV49: $i,SV44: $i,SV38: $i] :
( ( ( SV38 != SV44 )
= $false )
| ( ( ( a_select2 @ SV49 @ SV44 )
!= SV53 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SV55 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(452,plain,
! [SV39: $i] :
( ( ( ( SV39 = n0 )
| ( SV39 = n1 )
| ( SV39 = n2 ) )
= $true )
| ( ( SV39 = n3 )
= $true )
| ( ( SV39 = n4 )
= $true )
| ( ( SV39 = n5 )
= $true )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( leq @ SV39 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(453,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) )
| ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(454,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ~ ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(455,plain,
! [SV37: $i] :
( ( ( SV37 = n0 )
= $true )
| ( ( SV37 = n1 )
= $true )
| ( ( SV37 = n2 )
= $true )
| ( ( SV37 = n3 )
= $true )
| ( ( SV37 = n4 )
= $true )
| ( ( leq @ n0 @ SV37 )
= $false )
| ( ( leq @ SV37 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(456,plain,
! [SV55: $i,SV53: $i,SV49: $i,SV44: $i,SV38: $i] :
( ( ( SV38 = SV44 )
= $true )
| ( ( ( a_select2 @ SV49 @ SV44 )
!= SV53 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SV55 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(457,plain,
! [SV39: $i] :
( ( ( ( SV39 = n0 )
| ( SV39 = n1 ) )
= $true )
| ( ( SV39 = n2 )
= $true )
| ( ( SV39 = n3 )
= $true )
| ( ( SV39 = n4 )
= $true )
| ( ( SV39 = n5 )
= $true )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( leq @ SV39 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(458,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) ) )
= $true )
| ( ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(459,plain,
! [SV33: $i,SV52: $i,SV48: $i,SV43: $i] :
( ( ( ! [SY122: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY122 )
| ~ ( leq @ SY122 @ SV43 ) )
| ( ( a_select2 @ SV48 @ SY122 )
= SV52 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(460,plain,
! [SV55: $i,SV38: $i,SV53: $i,SV44: $i,SV49: $i] :
( ( ( ( a_select2 @ SV49 @ SV44 )
= SV53 )
= $false )
| ( ( SV38 = SV44 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV49 @ SV38 @ SV55 ) @ SV44 )
= SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(461,plain,
! [SV39: $i] :
( ( ( SV39 = n0 )
= $true )
| ( ( SV39 = n1 )
= $true )
| ( ( SV39 = n2 )
= $true )
| ( ( SV39 = n3 )
= $true )
| ( ( SV39 = n4 )
= $true )
| ( ( SV39 = n5 )
= $true )
| ( ( leq @ n0 @ SV39 )
= $false )
| ( ( leq @ SV39 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(462,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( ~ ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) ) )
= $false )
| ( ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(463,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
| ~ ( leq @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) @ SV43 ) )
| ( ( a_select2 @ SV48 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
= SV52 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[459]) ).
thf(464,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( ~ ( ( SV40 != SV50 ) )
| ( SV45 != SV54 ) )
= $true )
| ( ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(465,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
| ~ ( leq @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) @ SV43 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(466,plain,
! [SV43: $i,SV52: $i,SV33: $i,SV48: $i] :
( ( ( ( a_select2 @ SV48 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
= SV52 )
= $false )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(467,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( ~ ( ( SV40 != SV50 ) ) )
= $true )
| ( ( SV45 != SV54 )
= $true )
| ( ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(468,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
| ~ ( leq @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) @ SV43 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(469,plain,
! [SV43: $i,SV52: $i,SV48: $i,SV33: $i] :
( ( ( leq @ n0 @ SV33 )
= $false )
| ( ( ( a_select2 @ SV48 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
= SV52 )
= $false )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(470,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( SV40 != SV50 )
= $false )
| ( ( SV45 != SV54 )
= $true )
| ( ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(471,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
| ~ ( leq @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) @ SV43 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(472,plain,
! [SV52: $i,SV48: $i,SV43: $i,SV33: $i] :
( ( ( leq @ SV33 @ SV43 )
= $false )
| ( ( ( a_select2 @ SV48 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
= SV52 )
= $false )
| ( ( leq @ n0 @ SV33 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(473,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV54: $i,SV45: $i,SV50: $i,SV40: $i] :
( ( ( SV40 = SV50 )
= $true )
| ( ( SV45 != SV54 )
= $true )
| ( ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(474,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( ~ ( leq @ n0 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(475,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( ~ ( leq @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) @ SV43 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(476,plain,
! [SV58: $i,SV57: $i,SV56: $i,SV50: $i,SV40: $i,SV54: $i,SV45: $i] :
( ( ( SV45 = SV54 )
= $false )
| ( ( SV40 = SV50 )
= $true )
| ( ( ( a_select3 @ SV56 @ SV50 @ SV54 )
!= SV57 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(477,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( leq @ n0 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(478,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( leq @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) @ SV43 )
= $true )
| ( ( ~ ( leq @ n0 @ SV33 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(479,plain,
! [SV58: $i,SV45: $i,SV40: $i,SV57: $i,SV54: $i,SV50: $i,SV56: $i] :
( ( ( ( a_select3 @ SV56 @ SV50 @ SV54 )
= SV57 )
= $false )
| ( ( SV40 = SV50 )
= $true )
| ( ( SV45 = SV54 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV56 @ SV40 @ SV45 @ SV58 ) @ SV50 @ SV54 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(480,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( leq @ n0 @ SV33 )
= $false )
| ( ( leq @ n0 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(481,plain,
! [SV43: $i,SV48: $i,SV52: $i,SV33: $i] :
( ( ( leq @ n0 @ SV33 )
= $false )
| ( ( leq @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) @ SV43 )
= $true )
| ( ( ~ ( leq @ SV33 @ SV43 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(482,plain,
! [SV48: $i,SV52: $i,SV43: $i,SV33: $i] :
( ( ( leq @ SV33 @ SV43 )
= $false )
| ( ( leq @ n0 @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) )
= $true )
| ( ( leq @ n0 @ SV33 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(483,plain,
! [SV48: $i,SV52: $i,SV43: $i,SV33: $i] :
( ( ( leq @ SV33 @ SV43 )
= $false )
| ( ( leq @ ( sK2_SY122 @ SV33 @ SV52 @ SV48 @ SV43 ) @ SV43 )
= $true )
| ( ( leq @ n0 @ SV33 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV48 @ SV43 @ SV52 ) @ SV33 )
= SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(484,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[318,483,482,479,472,461,460,455,449,442,433,428,396,386,371,363,349,348,347,346,345,344,343,342,341,340,339,332,331,330,329,328,327,326,325,324,323,322,321,320,319]) ).
thf(485,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(486,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(487,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(488,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(489,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(490,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(491,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(492,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(493,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(494,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(495,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(496,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(497,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(498,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(499,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(500,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(501,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(502,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(503,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(504,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(505,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(506,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(507,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(508,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(509,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(510,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(511,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(512,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(513,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(514,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(515,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(516,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(517,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(518,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(519,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(520,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(521,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(522,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(523,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(524,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)],[486]) ).
thf(525,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(526,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)],[506]) ).
thf(527,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)],[489]) ).
thf(528,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(529,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)],[507]) ).
thf(530,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(531,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(532,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(533,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)],[488]) ).
thf(534,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)],[485]) ).
thf(535,plain,
! [SV60: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ( a_select2 @ ( tptp_update2 @ SV60 @ SY133 @ SY134 ) @ SY133 )
= SY134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(536,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(537,plain,
! [SV61: $i] :
( ( ! [SY135: $i,SY136: $i,SY137: $i,SY138: $i,SY139: $i,SY140: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV61 != SY136 ) )
| ( SY135 != SY137 ) )
| ( ( a_select3 @ SY138 @ SY136 @ SY137 )
!= SY139 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY138 @ SV61 @ SY135 @ SY140 ) @ SY136 @ SY137 )
= SY139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(538,plain,
! [SV62: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) )
| ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(539,plain,
! [SV63: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV63 )
| ~ ( leq @ SV63 @ n4 ) )
| ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 )
| ( SV63 = n3 )
| ( SV63 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(540,plain,
! [SV64: $i] :
( ( ! [SY141: $i,SY142: $i,SY143: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY141 ) )
| ( ( a_select2 @ SY142 @ SX4 )
= SY143 ) )
| ~ ( leq @ n0 @ SV64 ) )
| ~ ( leq @ SV64 @ SY141 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY142 @ SY141 @ SY143 ) @ SV64 )
= SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(541,plain,
! [SV65: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n0 ) )
| ( SV65 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(542,plain,
! [SV66: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV66 )
| ~ ( leq @ SV66 @ n5 ) )
| ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 )
| ( SV66 = n4 )
| ( SV66 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(543,plain,
! [SV67: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n1 ) )
| ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(544,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(545,plain,
! [SV68: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV68 )
| ~ ( leq @ SV68 @ n3 ) )
| ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(546,plain,
! [SV69: $i] :
( ( ! [SY145: $i,SY146: $i,SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( ( SV69 != SY145 ) )
| ( ( a_select2 @ SY146 @ SY145 )
!= SY147 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY146 @ SV69 @ SY148 ) @ SY145 )
= SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(547,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)],[534]) ).
thf(548,plain,
! [SV71: $i,SV60: $i] :
( ( ! [SY151: $i] :
( ( a_select2 @ ( tptp_update2 @ SV60 @ SV71 @ SY151 ) @ SV71 )
= SY151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(549,plain,
! [SV72: $i,SV61: $i] :
( ( ! [SY152: $i,SY153: $i,SY154: $i,SY155: $i,SY156: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV61 != SY152 ) )
| ( SV72 != SY153 ) )
| ( ( a_select3 @ SY154 @ SY152 @ SY153 )
!= SY155 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY154 @ SV61 @ SV72 @ SY156 ) @ SY152 @ SY153 )
= SY155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(550,plain,
! [SV62: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(551,plain,
! [SV63: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV63 )
| ~ ( leq @ SV63 @ n4 ) ) )
= $true )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 )
| ( SV63 = n3 )
| ( SV63 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(552,plain,
! [SV64: $i,SV73: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY159: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY159 )
| ~ ( leq @ SY159 @ SV73 ) )
| ( ( a_select2 @ SY157 @ SY159 )
= SY158 ) )
| ~ ( leq @ n0 @ SV64 ) )
| ~ ( leq @ SV64 @ SV73 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY157 @ SV73 @ SY158 ) @ SV64 )
= SY158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(553,plain,
! [SV65: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n0 ) ) )
= $true )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(554,plain,
! [SV66: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV66 )
| ~ ( leq @ SV66 @ n5 ) ) )
= $true )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 )
| ( SV66 = n4 )
| ( SV66 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(555,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n1 ) ) )
= $true )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(556,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV68 )
| ~ ( leq @ SV68 @ n3 ) ) )
= $true )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(557,plain,
! [SV74: $i,SV69: $i] :
( ( ! [SY160: $i,SY161: $i,SY162: $i] :
( ~ ~ ( ~ ( ( SV69 != SV74 ) )
| ( ( a_select2 @ SY160 @ SV74 )
!= SY161 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY160 @ SV69 @ SY162 ) @ SV74 )
= SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(558,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)],[547]) ).
thf(559,plain,
! [SV76: $i,SV71: $i,SV60: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV60 @ SV71 @ SV76 ) @ SV71 )
= SV76 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(560,plain,
! [SV72: $i,SV77: $i,SV61: $i] :
( ( ! [SY164: $i,SY165: $i,SY166: $i,SY167: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SY164 ) )
| ( ( a_select3 @ SY165 @ SV77 @ SY164 )
!= SY166 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY165 @ SV61 @ SV72 @ SY167 ) @ SV77 @ SY164 )
= SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(561,plain,
! [SV62: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) ) )
= $false )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(562,plain,
! [SV63: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV63 )
| ~ ( leq @ SV63 @ n4 ) ) )
= $false )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 )
| ( SV63 = n3 )
| ( SV63 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(563,plain,
! [SV64: $i,SV78: $i,SV73: $i] :
( ( ! [SY168: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY169: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY169 )
| ~ ( leq @ SY169 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY169 )
= SY168 ) )
| ~ ( leq @ n0 @ SV64 ) )
| ~ ( leq @ SV64 @ SV73 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SY168 ) @ SV64 )
= SY168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(564,plain,
! [SV65: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n0 ) ) )
= $false )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(565,plain,
! [SV66: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV66 )
| ~ ( leq @ SV66 @ n5 ) ) )
= $false )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 )
| ( SV66 = n4 )
| ( SV66 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(566,plain,
! [SV67: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n1 ) ) )
= $false )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(567,plain,
! [SV68: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV68 )
| ~ ( leq @ SV68 @ n3 ) ) )
= $false )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(568,plain,
! [SV79: $i,SV74: $i,SV69: $i] :
( ( ! [SY170: $i,SY171: $i] :
( ~ ~ ( ~ ( ( SV69 != SV74 ) )
| ( ( a_select2 @ SV79 @ SV74 )
!= SY170 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SY171 ) @ SV74 )
= SY170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(569,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)],[558]) ).
thf(570,plain,
! [SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ! [SY172: $i,SY173: $i,SY174: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) )
| ( ( a_select3 @ SY172 @ SV77 @ SV81 )
!= SY173 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY172 @ SV61 @ SV72 @ SY174 ) @ SV77 @ SV81 )
= SY173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(571,plain,
! [SV62: $i] :
( ( ( ~ ( leq @ n0 @ SV62 )
| ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(572,plain,
! [SV63: $i] :
( ( ( ~ ( leq @ n0 @ SV63 )
| ~ ( leq @ SV63 @ n4 ) )
= $true )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 )
| ( SV63 = n3 )
| ( SV63 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(573,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) )
| ~ ( leq @ n0 @ SV64 ) )
| ~ ( leq @ SV64 @ SV73 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(574,plain,
! [SV65: $i] :
( ( ( ~ ( leq @ n0 @ SV65 )
| ~ ( leq @ SV65 @ n0 ) )
= $true )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(575,plain,
! [SV66: $i] :
( ( ( ~ ( leq @ n0 @ SV66 )
| ~ ( leq @ SV66 @ n5 ) )
= $true )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 )
| ( SV66 = n4 )
| ( SV66 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(576,plain,
! [SV67: $i] :
( ( ( ~ ( leq @ n0 @ SV67 )
| ~ ( leq @ SV67 @ n1 ) )
= $true )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(577,plain,
! [SV68: $i] :
( ( ( ~ ( leq @ n0 @ SV68 )
| ~ ( leq @ SV68 @ n3 ) )
= $true )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(578,plain,
! [SV83: $i,SV79: $i,SV74: $i,SV69: $i] :
( ( ! [SY176: $i] :
( ~ ~ ( ~ ( ( SV69 != SV74 ) )
| ( ( a_select2 @ SV79 @ SV74 )
!= SV83 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SY176 ) @ SV74 )
= SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(579,plain,
! [SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ! [SY177: $i,SY178: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) )
| ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SY177 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SY178 ) @ SV77 @ SV81 )
= SY177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(580,plain,
! [SV62: $i] :
( ( ( ~ ( leq @ n0 @ SV62 ) )
= $true )
| ( ( ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(581,plain,
! [SV63: $i] :
( ( ( ~ ( leq @ n0 @ SV63 ) )
= $true )
| ( ( ~ ( leq @ SV63 @ n4 ) )
= $true )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 )
| ( SV63 = n3 )
| ( SV63 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(582,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) )
| ~ ( leq @ n0 @ SV64 ) )
| ~ ( leq @ SV64 @ SV73 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(583,plain,
! [SV65: $i] :
( ( ( ~ ( leq @ n0 @ SV65 ) )
= $true )
| ( ( ~ ( leq @ SV65 @ n0 ) )
= $true )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(584,plain,
! [SV66: $i] :
( ( ( ~ ( leq @ n0 @ SV66 ) )
= $true )
| ( ( ~ ( leq @ SV66 @ n5 ) )
= $true )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 )
| ( SV66 = n4 )
| ( SV66 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(585,plain,
! [SV67: $i] :
( ( ( ~ ( leq @ n0 @ SV67 ) )
= $true )
| ( ( ~ ( leq @ SV67 @ n1 ) )
= $true )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(586,plain,
! [SV68: $i] :
( ( ( ~ ( leq @ n0 @ SV68 ) )
= $true )
| ( ( ~ ( leq @ SV68 @ n3 ) )
= $true )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(587,plain,
! [SV85: $i,SV83: $i,SV79: $i,SV74: $i,SV69: $i] :
( ( ~ ~ ( ~ ( ( SV69 != SV74 ) )
| ( ( a_select2 @ SV79 @ SV74 )
!= SV83 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SV85 ) @ SV74 )
= SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(588,plain,
! [SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ! [SY179: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) )
| ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SY179 ) @ SV77 @ SV81 )
= SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(589,plain,
! [SV62: $i] :
( ( ( leq @ n0 @ SV62 )
= $false )
| ( ( ~ ( leq @ SV62 @ n2 ) )
= $true )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(590,plain,
! [SV63: $i] :
( ( ( leq @ n0 @ SV63 )
= $false )
| ( ( ~ ( leq @ SV63 @ n4 ) )
= $true )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 )
| ( SV63 = n3 )
| ( SV63 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(591,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) )
| ~ ( leq @ n0 @ SV64 ) )
| ~ ( leq @ SV64 @ SV73 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(592,plain,
! [SV65: $i] :
( ( ( leq @ n0 @ SV65 )
= $false )
| ( ( ~ ( leq @ SV65 @ n0 ) )
= $true )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(593,plain,
! [SV66: $i] :
( ( ( leq @ n0 @ SV66 )
= $false )
| ( ( ~ ( leq @ SV66 @ n5 ) )
= $true )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 )
| ( SV66 = n4 )
| ( SV66 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(594,plain,
! [SV67: $i] :
( ( ( leq @ n0 @ SV67 )
= $false )
| ( ( ~ ( leq @ SV67 @ n1 ) )
= $true )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(595,plain,
! [SV68: $i] :
( ( ( leq @ n0 @ SV68 )
= $false )
| ( ( ~ ( leq @ SV68 @ n3 ) )
= $true )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(596,plain,
! [SV85: $i,SV83: $i,SV79: $i,SV74: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( ( SV69 != SV74 ) )
| ( ( a_select2 @ SV79 @ SV74 )
!= SV83 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SV85 ) @ SV74 )
= SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(597,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) )
| ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(598,plain,
! [SV62: $i] :
( ( ( leq @ SV62 @ n2 )
= $false )
| ( ( leq @ n0 @ SV62 )
= $false )
| ( ( ( SV62 = n0 )
| ( SV62 = n1 )
| ( SV62 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(599,plain,
! [SV63: $i] :
( ( ( leq @ SV63 @ n4 )
= $false )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 )
| ( SV63 = n3 )
| ( SV63 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(600,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) )
| ~ ( leq @ n0 @ SV64 ) )
| ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(601,plain,
! [SV65: $i] :
( ( ( leq @ SV65 @ n0 )
= $false )
| ( ( leq @ n0 @ SV65 )
= $false )
| ( ( SV65 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(602,plain,
! [SV66: $i] :
( ( ( leq @ SV66 @ n5 )
= $false )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 )
| ( SV66 = n4 )
| ( SV66 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(603,plain,
! [SV67: $i] :
( ( ( leq @ SV67 @ n1 )
= $false )
| ( ( leq @ n0 @ SV67 )
= $false )
| ( ( ( SV67 = n0 )
| ( SV67 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(604,plain,
! [SV68: $i] :
( ( ( leq @ SV68 @ n3 )
= $false )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 )
| ( SV68 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(605,plain,
! [SV85: $i,SV83: $i,SV79: $i,SV74: $i,SV69: $i] :
( ( ( ~ ( ~ ( ( SV69 != SV74 ) )
| ( ( a_select2 @ SV79 @ SV74 )
!= SV83 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SV85 ) @ SV74 )
= SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(606,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) )
| ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(607,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)],[598]) ).
thf(608,plain,
! [SV63: $i] :
( ( ( ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 )
| ( SV63 = n3 ) )
= $true )
| ( ( SV63 = n4 )
= $true )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( leq @ SV63 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(609,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ~ ( ~ ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) )
| ~ ( leq @ n0 @ SV64 ) ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(610,plain,
! [SV66: $i] :
( ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 )
| ( SV66 = n4 ) )
= $true )
| ( ( SV66 = n5 )
= $true )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( leq @ SV66 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(611,plain,
! [SV67: $i] :
( ( ( SV67 = n0 )
= $true )
| ( ( SV67 = n1 )
= $true )
| ( ( leq @ n0 @ SV67 )
= $false )
| ( ( leq @ SV67 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(612,plain,
! [SV68: $i] :
( ( ( ( SV68 = n0 )
| ( SV68 = n1 )
| ( SV68 = n2 ) )
= $true )
| ( ( SV68 = n3 )
= $true )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( leq @ SV68 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(613,plain,
! [SV85: $i,SV83: $i,SV79: $i,SV74: $i,SV69: $i] :
( ( ( ~ ( ( SV69 != SV74 ) )
| ( ( a_select2 @ SV79 @ SV74 )
!= SV83 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SV85 ) @ SV74 )
= SV83 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(614,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) )
| ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(615,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)],[607]) ).
thf(616,plain,
! [SV63: $i] :
( ( ( ( SV63 = n0 )
| ( SV63 = n1 )
| ( SV63 = n2 ) )
= $true )
| ( ( SV63 = n3 )
= $true )
| ( ( SV63 = n4 )
= $true )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( leq @ SV63 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(617,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ( ~ ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) )
| ~ ( leq @ n0 @ SV64 ) ) )
= $false )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(618,plain,
! [SV66: $i] :
( ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 )
| ( SV66 = n3 ) )
= $true )
| ( ( SV66 = n4 )
= $true )
| ( ( SV66 = n5 )
= $true )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( leq @ SV66 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(619,plain,
! [SV68: $i] :
( ( ( ( SV68 = n0 )
| ( SV68 = n1 ) )
= $true )
| ( ( SV68 = n2 )
= $true )
| ( ( SV68 = n3 )
= $true )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( leq @ SV68 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(620,plain,
! [SV85: $i,SV83: $i,SV79: $i,SV74: $i,SV69: $i] :
( ( ( ~ ( ( SV69 != SV74 ) ) )
= $true )
| ( ( ( a_select2 @ SV79 @ SV74 )
!= SV83 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SV85 ) @ SV74 )
= SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(621,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) )
| ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(622,plain,
! [SV63: $i] :
( ( ( ( SV63 = n0 )
| ( SV63 = n1 ) )
= $true )
| ( ( SV63 = n2 )
= $true )
| ( ( SV63 = n3 )
= $true )
| ( ( SV63 = n4 )
= $true )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( leq @ SV63 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(623,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) )
| ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(624,plain,
! [SV66: $i] :
( ( ( ( SV66 = n0 )
| ( SV66 = n1 )
| ( SV66 = n2 ) )
= $true )
| ( ( SV66 = n3 )
= $true )
| ( ( SV66 = n4 )
= $true )
| ( ( SV66 = n5 )
= $true )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( leq @ SV66 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(625,plain,
! [SV68: $i] :
( ( ( SV68 = n0 )
= $true )
| ( ( SV68 = n1 )
= $true )
| ( ( SV68 = n2 )
= $true )
| ( ( SV68 = n3 )
= $true )
| ( ( leq @ n0 @ SV68 )
= $false )
| ( ( leq @ SV68 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(626,plain,
! [SV85: $i,SV83: $i,SV79: $i,SV74: $i,SV69: $i] :
( ( ( SV69 != SV74 )
= $false )
| ( ( ( a_select2 @ SV79 @ SV74 )
!= SV83 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SV85 ) @ SV74 )
= SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(627,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) ) )
= $true )
| ( ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(628,plain,
! [SV63: $i] :
( ( ( SV63 = n0 )
= $true )
| ( ( SV63 = n1 )
= $true )
| ( ( SV63 = n2 )
= $true )
| ( ( SV63 = n3 )
= $true )
| ( ( SV63 = n4 )
= $true )
| ( ( leq @ n0 @ SV63 )
= $false )
| ( ( leq @ SV63 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(629,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ~ ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(630,plain,
! [SV66: $i] :
( ( ( ( SV66 = n0 )
| ( SV66 = n1 ) )
= $true )
| ( ( SV66 = n2 )
= $true )
| ( ( SV66 = n3 )
= $true )
| ( ( SV66 = n4 )
= $true )
| ( ( SV66 = n5 )
= $true )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( leq @ SV66 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(631,plain,
! [SV85: $i,SV83: $i,SV79: $i,SV74: $i,SV69: $i] :
( ( ( SV69 = SV74 )
= $true )
| ( ( ( a_select2 @ SV79 @ SV74 )
!= SV83 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SV85 ) @ SV74 )
= SV83 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(632,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( ~ ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) ) )
= $false )
| ( ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(633,plain,
! [SV64: $i,SV82: $i,SV78: $i,SV73: $i] :
( ( ( ! [SY175: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY175 )
| ~ ( leq @ SY175 @ SV73 ) )
| ( ( a_select2 @ SV78 @ SY175 )
= SV82 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(634,plain,
! [SV66: $i] :
( ( ( SV66 = n0 )
= $true )
| ( ( SV66 = n1 )
= $true )
| ( ( SV66 = n2 )
= $true )
| ( ( SV66 = n3 )
= $true )
| ( ( SV66 = n4 )
= $true )
| ( ( SV66 = n5 )
= $true )
| ( ( leq @ n0 @ SV66 )
= $false )
| ( ( leq @ SV66 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(635,plain,
! [SV85: $i,SV69: $i,SV83: $i,SV74: $i,SV79: $i] :
( ( ( ( a_select2 @ SV79 @ SV74 )
= SV83 )
= $false )
| ( ( SV69 = SV74 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV79 @ SV69 @ SV85 ) @ SV74 )
= SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(636,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( ~ ( ( SV61 != SV77 ) )
| ( SV72 != SV81 ) )
= $true )
| ( ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(637,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
| ~ ( leq @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) @ SV73 ) )
| ( ( a_select2 @ SV78 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
= SV82 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[633]) ).
thf(638,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( ~ ( ( SV61 != SV77 ) ) )
= $true )
| ( ( SV72 != SV81 )
= $true )
| ( ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(639,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
| ~ ( leq @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) @ SV73 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(640,plain,
! [SV73: $i,SV82: $i,SV64: $i,SV78: $i] :
( ( ( ( a_select2 @ SV78 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
= SV82 )
= $false )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(641,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( SV61 != SV77 )
= $false )
| ( ( SV72 != SV81 )
= $true )
| ( ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(642,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
| ~ ( leq @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) @ SV73 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(643,plain,
! [SV73: $i,SV82: $i,SV78: $i,SV64: $i] :
( ( ( leq @ n0 @ SV64 )
= $false )
| ( ( ( a_select2 @ SV78 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
= SV82 )
= $false )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(644,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV81: $i,SV72: $i,SV77: $i,SV61: $i] :
( ( ( SV61 = SV77 )
= $true )
| ( ( SV72 != SV81 )
= $true )
| ( ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(645,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( ~ ( leq @ n0 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
| ~ ( leq @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) @ SV73 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(646,plain,
! [SV82: $i,SV78: $i,SV73: $i,SV64: $i] :
( ( ( leq @ SV64 @ SV73 )
= $false )
| ( ( ( a_select2 @ SV78 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
= SV82 )
= $false )
| ( ( leq @ n0 @ SV64 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(647,plain,
! [SV87: $i,SV86: $i,SV84: $i,SV77: $i,SV61: $i,SV81: $i,SV72: $i] :
( ( ( SV72 = SV81 )
= $false )
| ( ( SV61 = SV77 )
= $true )
| ( ( ( a_select3 @ SV84 @ SV77 @ SV81 )
!= SV86 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(648,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( ~ ( leq @ n0 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(649,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( ~ ( leq @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) @ SV73 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(650,plain,
! [SV87: $i,SV72: $i,SV61: $i,SV86: $i,SV81: $i,SV77: $i,SV84: $i] :
( ( ( ( a_select3 @ SV84 @ SV77 @ SV81 )
= SV86 )
= $false )
| ( ( SV61 = SV77 )
= $true )
| ( ( SV72 = SV81 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV84 @ SV61 @ SV72 @ SV87 ) @ SV77 @ SV81 )
= SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(651,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( leq @ n0 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(652,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( leq @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ( leq @ n0 @ SV64 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(653,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( leq @ n0 @ SV64 )
= $false )
| ( ( leq @ n0 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(654,plain,
! [SV73: $i,SV78: $i,SV82: $i,SV64: $i] :
( ( ( leq @ n0 @ SV64 )
= $false )
| ( ( leq @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) @ SV73 )
= $true )
| ( ( ~ ( leq @ SV64 @ SV73 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(655,plain,
! [SV78: $i,SV82: $i,SV73: $i,SV64: $i] :
( ( ( leq @ SV64 @ SV73 )
= $false )
| ( ( leq @ n0 @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) )
= $true )
| ( ( leq @ n0 @ SV64 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(656,plain,
! [SV78: $i,SV82: $i,SV73: $i,SV64: $i] :
( ( ( leq @ SV64 @ SV73 )
= $false )
| ( ( leq @ ( sK3_SY175 @ SV64 @ SV82 @ SV78 @ SV73 ) @ SV73 )
= $true )
| ( ( leq @ n0 @ SV64 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV78 @ SV73 @ SV82 ) @ SV64 )
= SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(657,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[491,656,655,650,646,635,634,628,625,615,611,601,569,559,544,536,522,521,520,519,518,517,516,515,514,513,512,505,504,503,502,501,500,499,498,497,496,495,494,493,492]) ).
thf(658,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(659,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(660,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(661,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(662,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(663,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(664,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(665,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(666,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(667,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(668,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(669,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(670,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(671,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(672,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(673,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(674,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(675,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(676,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(677,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(678,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(679,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(680,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(681,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(682,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(683,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(684,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(685,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(686,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(687,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(688,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(689,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(690,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(691,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(692,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(693,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(694,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(695,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(696,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(697,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)],[679]) ).
thf(698,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)],[659]) ).
thf(699,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[663]) ).
thf(700,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)],[661]) ).
thf(701,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[683]) ).
thf(702,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[684]) ).
thf(703,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[682]) ).
thf(704,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)],[680]) ).
thf(705,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)],[662]) ).
thf(706,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[681]) ).
thf(707,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)],[658]) ).
thf(708,plain,
! [SV89: $i] :
( ( ! [SY183: $i,SY184: $i] :
( ( a_select2 @ ( tptp_update2 @ SV89 @ SY183 @ SY184 ) @ SY183 )
= SY184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(709,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(710,plain,
! [SV90: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n4 ) )
| ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(711,plain,
! [SV91: $i] :
( ( ! [SY185: $i,SY186: $i,SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SY186 ) )
| ( SY185 != SY187 ) )
| ( ( a_select3 @ SY188 @ SY186 @ SY187 )
!= SY189 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY188 @ SV91 @ SY185 @ SY190 ) @ SY186 @ SY187 )
= SY189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(712,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(713,plain,
! [SV92: $i] :
( ( ! [SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ~ ~ ( ~ ( ( SV92 != SY191 ) )
| ( ( a_select2 @ SY192 @ SY191 )
!= SY193 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY192 @ SV92 @ SY194 ) @ SY191 )
= SY193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(714,plain,
! [SV93: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n2 ) )
| ( SV93 = n0 )
| ( SV93 = n1 )
| ( SV93 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(715,plain,
! [SV94: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n3 ) )
| ( SV94 = n0 )
| ( SV94 = n1 )
| ( SV94 = n2 )
| ( SV94 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(716,plain,
! [SV95: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n1 ) )
| ( SV95 = n0 )
| ( SV95 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(717,plain,
! [SV96: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV96 )
| ~ ( leq @ SV96 @ n5 ) )
| ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 )
| ( SV96 = n4 )
| ( SV96 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(718,plain,
! [SV97: $i] :
( ( ! [SY195: $i,SY196: $i,SY197: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY195 ) )
| ( ( a_select2 @ SY196 @ SX4 )
= SY197 ) )
| ~ ( leq @ n0 @ SV97 ) )
| ~ ( leq @ SV97 @ SY195 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY196 @ SY195 @ SY197 ) @ SV97 )
= SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(719,plain,
! [SV98: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV98 )
| ~ ( leq @ SV98 @ n0 ) )
| ( SV98 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(720,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)],[707]) ).
thf(721,plain,
! [SV100: $i,SV89: $i] :
( ( ! [SY201: $i] :
( ( a_select2 @ ( tptp_update2 @ SV89 @ SV100 @ SY201 ) @ SV100 )
= SY201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(722,plain,
! [SV90: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n4 ) ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(723,plain,
! [SV101: $i,SV91: $i] :
( ( ! [SY202: $i,SY203: $i,SY204: $i,SY205: $i,SY206: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SY202 ) )
| ( SV101 != SY203 ) )
| ( ( a_select3 @ SY204 @ SY202 @ SY203 )
!= SY205 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY204 @ SV91 @ SV101 @ SY206 ) @ SY202 @ SY203 )
= SY205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(724,plain,
! [SV102: $i,SV92: $i] :
( ( ! [SY207: $i,SY208: $i,SY209: $i] :
( ~ ~ ( ~ ( ( SV92 != SV102 ) )
| ( ( a_select2 @ SY207 @ SV102 )
!= SY208 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY207 @ SV92 @ SY209 ) @ SV102 )
= SY208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(725,plain,
! [SV93: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n2 ) ) )
= $true )
| ( ( ( SV93 = n0 )
| ( SV93 = n1 )
| ( SV93 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(726,plain,
! [SV94: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n3 ) ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 )
| ( SV94 = n2 )
| ( SV94 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(727,plain,
! [SV95: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n1 ) ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(728,plain,
! [SV96: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV96 )
| ~ ( leq @ SV96 @ n5 ) ) )
= $true )
| ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 )
| ( SV96 = n4 )
| ( SV96 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(729,plain,
! [SV97: $i,SV103: $i] :
( ( ! [SY210: $i,SY211: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY212: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY212 )
| ~ ( leq @ SY212 @ SV103 ) )
| ( ( a_select2 @ SY210 @ SY212 )
= SY211 ) )
| ~ ( leq @ n0 @ SV97 ) )
| ~ ( leq @ SV97 @ SV103 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY210 @ SV103 @ SY211 ) @ SV97 )
= SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(730,plain,
! [SV98: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV98 )
| ~ ( leq @ SV98 @ n0 ) ) )
= $true )
| ( ( SV98 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(731,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)],[720]) ).
thf(732,plain,
! [SV105: $i,SV100: $i,SV89: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV89 @ SV100 @ SV105 ) @ SV100 )
= SV105 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(733,plain,
! [SV90: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n4 ) ) )
= $false )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(734,plain,
! [SV101: $i,SV106: $i,SV91: $i] :
( ( ! [SY214: $i,SY215: $i,SY216: $i,SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SY214 ) )
| ( ( a_select3 @ SY215 @ SV106 @ SY214 )
!= SY216 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY215 @ SV91 @ SV101 @ SY217 ) @ SV106 @ SY214 )
= SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(735,plain,
! [SV107: $i,SV102: $i,SV92: $i] :
( ( ! [SY218: $i,SY219: $i] :
( ~ ~ ( ~ ( ( SV92 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SY218 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SY219 ) @ SV102 )
= SY218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(736,plain,
! [SV93: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n2 ) ) )
= $false )
| ( ( ( SV93 = n0 )
| ( SV93 = n1 )
| ( SV93 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(737,plain,
! [SV94: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n3 ) ) )
= $false )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 )
| ( SV94 = n2 )
| ( SV94 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(738,plain,
! [SV95: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n1 ) ) )
= $false )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(739,plain,
! [SV96: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV96 )
| ~ ( leq @ SV96 @ n5 ) ) )
= $false )
| ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 )
| ( SV96 = n4 )
| ( SV96 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(740,plain,
! [SV97: $i,SV108: $i,SV103: $i] :
( ( ! [SY220: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY221: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY221 )
| ~ ( leq @ SY221 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY221 )
= SY220 ) )
| ~ ( leq @ n0 @ SV97 ) )
| ~ ( leq @ SV97 @ SV103 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SY220 ) @ SV97 )
= SY220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(741,plain,
! [SV98: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV98 )
| ~ ( leq @ SV98 @ n0 ) ) )
= $false )
| ( ( SV98 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(742,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)],[731]) ).
thf(743,plain,
! [SV90: $i] :
( ( ( ~ ( leq @ n0 @ SV90 )
| ~ ( leq @ SV90 @ n4 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(744,plain,
! [SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ! [SY222: $i,SY223: $i,SY224: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SY222 @ SV106 @ SV110 )
!= SY223 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY222 @ SV91 @ SV101 @ SY224 ) @ SV106 @ SV110 )
= SY223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(745,plain,
! [SV111: $i,SV107: $i,SV102: $i,SV92: $i] :
( ( ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV92 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SY225 ) @ SV102 )
= SV111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(746,plain,
! [SV93: $i] :
( ( ( ~ ( leq @ n0 @ SV93 )
| ~ ( leq @ SV93 @ n2 ) )
= $true )
| ( ( ( SV93 = n0 )
| ( SV93 = n1 )
| ( SV93 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(747,plain,
! [SV94: $i] :
( ( ( ~ ( leq @ n0 @ SV94 )
| ~ ( leq @ SV94 @ n3 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 )
| ( SV94 = n2 )
| ( SV94 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(748,plain,
! [SV95: $i] :
( ( ( ~ ( leq @ n0 @ SV95 )
| ~ ( leq @ SV95 @ n1 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(749,plain,
! [SV96: $i] :
( ( ( ~ ( leq @ n0 @ SV96 )
| ~ ( leq @ SV96 @ n5 ) )
= $true )
| ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 )
| ( SV96 = n4 )
| ( SV96 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(750,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) )
| ~ ( leq @ n0 @ SV97 ) )
| ~ ( leq @ SV97 @ SV103 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(751,plain,
! [SV98: $i] :
( ( ( ~ ( leq @ n0 @ SV98 )
| ~ ( leq @ SV98 @ n0 ) )
= $true )
| ( ( SV98 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(752,plain,
! [SV90: $i] :
( ( ( ~ ( leq @ n0 @ SV90 ) )
= $true )
| ( ( ~ ( leq @ SV90 @ n4 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(753,plain,
! [SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ! [SY227: $i,SY228: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SY227 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SY228 ) @ SV106 @ SV110 )
= SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(754,plain,
! [SV114: $i,SV111: $i,SV107: $i,SV102: $i,SV92: $i] :
( ( ~ ~ ( ~ ( ( SV92 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SV114 ) @ SV102 )
= SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(755,plain,
! [SV93: $i] :
( ( ( ~ ( leq @ n0 @ SV93 ) )
= $true )
| ( ( ~ ( leq @ SV93 @ n2 ) )
= $true )
| ( ( ( SV93 = n0 )
| ( SV93 = n1 )
| ( SV93 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(756,plain,
! [SV94: $i] :
( ( ( ~ ( leq @ n0 @ SV94 ) )
= $true )
| ( ( ~ ( leq @ SV94 @ n3 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 )
| ( SV94 = n2 )
| ( SV94 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(757,plain,
! [SV95: $i] :
( ( ( ~ ( leq @ n0 @ SV95 ) )
= $true )
| ( ( ~ ( leq @ SV95 @ n1 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(758,plain,
! [SV96: $i] :
( ( ( ~ ( leq @ n0 @ SV96 ) )
= $true )
| ( ( ~ ( leq @ SV96 @ n5 ) )
= $true )
| ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 )
| ( SV96 = n4 )
| ( SV96 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(759,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) )
| ~ ( leq @ n0 @ SV97 ) )
| ~ ( leq @ SV97 @ SV103 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(760,plain,
! [SV98: $i] :
( ( ( ~ ( leq @ n0 @ SV98 ) )
= $true )
| ( ( ~ ( leq @ SV98 @ n0 ) )
= $true )
| ( ( SV98 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[751]) ).
thf(761,plain,
! [SV90: $i] :
( ( ( leq @ n0 @ SV90 )
= $false )
| ( ( ~ ( leq @ SV90 @ n4 ) )
= $true )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(762,plain,
! [SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ! [SY229: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SY229 ) @ SV106 @ SV110 )
= SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(763,plain,
! [SV114: $i,SV111: $i,SV107: $i,SV102: $i,SV92: $i] :
( ( ( ~ ~ ( ~ ( ( SV92 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SV114 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(764,plain,
! [SV93: $i] :
( ( ( leq @ n0 @ SV93 )
= $false )
| ( ( ~ ( leq @ SV93 @ n2 ) )
= $true )
| ( ( ( SV93 = n0 )
| ( SV93 = n1 )
| ( SV93 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(765,plain,
! [SV94: $i] :
( ( ( leq @ n0 @ SV94 )
= $false )
| ( ( ~ ( leq @ SV94 @ n3 ) )
= $true )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 )
| ( SV94 = n2 )
| ( SV94 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(766,plain,
! [SV95: $i] :
( ( ( leq @ n0 @ SV95 )
= $false )
| ( ( ~ ( leq @ SV95 @ n1 ) )
= $true )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(767,plain,
! [SV96: $i] :
( ( ( leq @ n0 @ SV96 )
= $false )
| ( ( ~ ( leq @ SV96 @ n5 ) )
= $true )
| ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 )
| ( SV96 = n4 )
| ( SV96 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(768,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) )
| ~ ( leq @ n0 @ SV97 ) )
| ~ ( leq @ SV97 @ SV103 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(769,plain,
! [SV98: $i] :
( ( ( leq @ n0 @ SV98 )
= $false )
| ( ( ~ ( leq @ SV98 @ n0 ) )
= $true )
| ( ( SV98 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(770,plain,
! [SV90: $i] :
( ( ( leq @ SV90 @ n4 )
= $false )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 )
| ( SV90 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(771,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(772,plain,
! [SV114: $i,SV111: $i,SV107: $i,SV102: $i,SV92: $i] :
( ( ( ~ ( ~ ( ( SV92 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SV114 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(773,plain,
! [SV93: $i] :
( ( ( leq @ SV93 @ n2 )
= $false )
| ( ( leq @ n0 @ SV93 )
= $false )
| ( ( ( SV93 = n0 )
| ( SV93 = n1 )
| ( SV93 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(774,plain,
! [SV94: $i] :
( ( ( leq @ SV94 @ n3 )
= $false )
| ( ( leq @ n0 @ SV94 )
= $false )
| ( ( ( SV94 = n0 )
| ( SV94 = n1 )
| ( SV94 = n2 )
| ( SV94 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(775,plain,
! [SV95: $i] :
( ( ( leq @ SV95 @ n1 )
= $false )
| ( ( leq @ n0 @ SV95 )
= $false )
| ( ( ( SV95 = n0 )
| ( SV95 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(776,plain,
! [SV96: $i] :
( ( ( leq @ SV96 @ n5 )
= $false )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 )
| ( SV96 = n4 )
| ( SV96 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(777,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) )
| ~ ( leq @ n0 @ SV97 ) )
| ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(778,plain,
! [SV98: $i] :
( ( ( leq @ SV98 @ n0 )
= $false )
| ( ( leq @ n0 @ SV98 )
= $false )
| ( ( SV98 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(779,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 )
| ( SV90 = n3 ) )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(780,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(781,plain,
! [SV114: $i,SV111: $i,SV107: $i,SV102: $i,SV92: $i] :
( ( ( ~ ( ( SV92 != SV102 ) )
| ( ( a_select2 @ SV107 @ SV102 )
!= SV111 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SV114 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(782,plain,
! [SV93: $i] :
( ( ( ( SV93 = n0 )
| ( SV93 = n1 ) )
= $true )
| ( ( SV93 = n2 )
= $true )
| ( ( leq @ n0 @ SV93 )
= $false )
| ( ( leq @ SV93 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(783,plain,
! [SV94: $i] :
( ( ( ( SV94 = n0 )
| ( SV94 = n1 )
| ( SV94 = n2 ) )
= $true )
| ( ( SV94 = n3 )
= $true )
| ( ( leq @ n0 @ SV94 )
= $false )
| ( ( leq @ SV94 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(784,plain,
! [SV95: $i] :
( ( ( SV95 = n0 )
= $true )
| ( ( SV95 = n1 )
= $true )
| ( ( leq @ n0 @ SV95 )
= $false )
| ( ( leq @ SV95 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(785,plain,
! [SV96: $i] :
( ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 )
| ( SV96 = n4 ) )
= $true )
| ( ( SV96 = n5 )
= $true )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( leq @ SV96 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(786,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) )
| ~ ( leq @ n0 @ SV97 ) ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(787,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 )
| ( SV90 = n2 ) )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(788,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(789,plain,
! [SV114: $i,SV111: $i,SV107: $i,SV102: $i,SV92: $i] :
( ( ( ~ ( ( SV92 != SV102 ) ) )
= $true )
| ( ( ( a_select2 @ SV107 @ SV102 )
!= SV111 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SV114 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(790,plain,
! [SV93: $i] :
( ( ( SV93 = n0 )
= $true )
| ( ( SV93 = n1 )
= $true )
| ( ( SV93 = n2 )
= $true )
| ( ( leq @ n0 @ SV93 )
= $false )
| ( ( leq @ SV93 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(791,plain,
! [SV94: $i] :
( ( ( ( SV94 = n0 )
| ( SV94 = n1 ) )
= $true )
| ( ( SV94 = n2 )
= $true )
| ( ( SV94 = n3 )
= $true )
| ( ( leq @ n0 @ SV94 )
= $false )
| ( ( leq @ SV94 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(792,plain,
! [SV96: $i] :
( ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 )
| ( SV96 = n3 ) )
= $true )
| ( ( SV96 = n4 )
= $true )
| ( ( SV96 = n5 )
= $true )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( leq @ SV96 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(793,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ( ~ ( ~ ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) )
| ~ ( leq @ n0 @ SV97 ) ) )
= $false )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(794,plain,
! [SV90: $i] :
( ( ( ( SV90 = n0 )
| ( SV90 = n1 ) )
= $true )
| ( ( SV90 = n2 )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(795,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
| ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(796,plain,
! [SV114: $i,SV111: $i,SV107: $i,SV102: $i,SV92: $i] :
( ( ( SV92 != SV102 )
= $false )
| ( ( ( a_select2 @ SV107 @ SV102 )
!= SV111 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SV114 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(797,plain,
! [SV94: $i] :
( ( ( SV94 = n0 )
= $true )
| ( ( SV94 = n1 )
= $true )
| ( ( SV94 = n2 )
= $true )
| ( ( SV94 = n3 )
= $true )
| ( ( leq @ n0 @ SV94 )
= $false )
| ( ( leq @ SV94 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(798,plain,
! [SV96: $i] :
( ( ( ( SV96 = n0 )
| ( SV96 = n1 )
| ( SV96 = n2 ) )
= $true )
| ( ( SV96 = n3 )
= $true )
| ( ( SV96 = n4 )
= $true )
| ( ( SV96 = n5 )
= $true )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( leq @ SV96 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(799,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ( ~ ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) )
| ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(800,plain,
! [SV90: $i] :
( ( ( SV90 = n0 )
= $true )
| ( ( SV90 = n1 )
= $true )
| ( ( SV90 = n2 )
= $true )
| ( ( SV90 = n3 )
= $true )
| ( ( SV90 = n4 )
= $true )
| ( ( leq @ n0 @ SV90 )
= $false )
| ( ( leq @ SV90 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(801,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) ) )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(802,plain,
! [SV114: $i,SV111: $i,SV107: $i,SV102: $i,SV92: $i] :
( ( ( SV92 = SV102 )
= $true )
| ( ( ( a_select2 @ SV107 @ SV102 )
!= SV111 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SV114 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(803,plain,
! [SV96: $i] :
( ( ( ( SV96 = n0 )
| ( SV96 = n1 ) )
= $true )
| ( ( SV96 = n2 )
= $true )
| ( ( SV96 = n3 )
= $true )
| ( ( SV96 = n4 )
= $true )
| ( ( SV96 = n5 )
= $true )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( leq @ SV96 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(804,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ( ~ ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(805,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) ) )
= $false )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(806,plain,
! [SV114: $i,SV92: $i,SV111: $i,SV102: $i,SV107: $i] :
( ( ( ( a_select2 @ SV107 @ SV102 )
= SV111 )
= $false )
| ( ( SV92 = SV102 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV107 @ SV92 @ SV114 ) @ SV102 )
= SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(807,plain,
! [SV96: $i] :
( ( ( SV96 = n0 )
= $true )
| ( ( SV96 = n1 )
= $true )
| ( ( SV96 = n2 )
= $true )
| ( ( SV96 = n3 )
= $true )
| ( ( SV96 = n4 )
= $true )
| ( ( SV96 = n5 )
= $true )
| ( ( leq @ n0 @ SV96 )
= $false )
| ( ( leq @ SV96 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(808,plain,
! [SV97: $i,SV112: $i,SV108: $i,SV103: $i] :
( ( ( ! [SY226: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY226 )
| ~ ( leq @ SY226 @ SV103 ) )
| ( ( a_select2 @ SV108 @ SY226 )
= SV112 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(809,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ( ( SV91 != SV106 ) )
| ( SV101 != SV110 ) )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(810,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
| ~ ( leq @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) @ SV103 ) )
| ( ( a_select2 @ SV108 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
= SV112 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[808]) ).
thf(811,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( ~ ( ( SV91 != SV106 ) ) )
= $true )
| ( ( SV101 != SV110 )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(812,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
| ~ ( leq @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) @ SV103 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(813,plain,
! [SV103: $i,SV112: $i,SV97: $i,SV108: $i] :
( ( ( ( a_select2 @ SV108 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
= SV112 )
= $false )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(814,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( SV91 != SV106 )
= $false )
| ( ( SV101 != SV110 )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(815,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
| ~ ( leq @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) @ SV103 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(816,plain,
! [SV103: $i,SV112: $i,SV108: $i,SV97: $i] :
( ( ( leq @ n0 @ SV97 )
= $false )
| ( ( ( a_select2 @ SV108 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
= SV112 )
= $false )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(817,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV110: $i,SV101: $i,SV106: $i,SV91: $i] :
( ( ( SV91 = SV106 )
= $true )
| ( ( SV101 != SV110 )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(818,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( ~ ( leq @ n0 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
| ~ ( leq @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) @ SV103 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(819,plain,
! [SV112: $i,SV108: $i,SV103: $i,SV97: $i] :
( ( ( leq @ SV97 @ SV103 )
= $false )
| ( ( ( a_select2 @ SV108 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
= SV112 )
= $false )
| ( ( leq @ n0 @ SV97 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(820,plain,
! [SV116: $i,SV115: $i,SV113: $i,SV106: $i,SV91: $i,SV110: $i,SV101: $i] :
( ( ( SV101 = SV110 )
= $false )
| ( ( SV91 = SV106 )
= $true )
| ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
!= SV115 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(821,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( ~ ( leq @ n0 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(822,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( ~ ( leq @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) @ SV103 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(823,plain,
! [SV116: $i,SV101: $i,SV91: $i,SV115: $i,SV110: $i,SV106: $i,SV113: $i] :
( ( ( ( a_select3 @ SV113 @ SV106 @ SV110 )
= SV115 )
= $false )
| ( ( SV91 = SV106 )
= $true )
| ( ( SV101 = SV110 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV113 @ SV91 @ SV101 @ SV116 ) @ SV106 @ SV110 )
= SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(824,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( leq @ n0 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(825,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( leq @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) @ SV103 )
= $true )
| ( ( ~ ( leq @ n0 @ SV97 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(826,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( leq @ n0 @ SV97 )
= $false )
| ( ( leq @ n0 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(827,plain,
! [SV103: $i,SV108: $i,SV112: $i,SV97: $i] :
( ( ( leq @ n0 @ SV97 )
= $false )
| ( ( leq @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) @ SV103 )
= $true )
| ( ( ~ ( leq @ SV97 @ SV103 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(828,plain,
! [SV108: $i,SV112: $i,SV103: $i,SV97: $i] :
( ( ( leq @ SV97 @ SV103 )
= $false )
| ( ( leq @ n0 @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) )
= $true )
| ( ( leq @ n0 @ SV97 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(829,plain,
! [SV108: $i,SV112: $i,SV103: $i,SV97: $i] :
( ( ( leq @ SV97 @ SV103 )
= $false )
| ( ( leq @ ( sK4_SY226 @ SV97 @ SV112 @ SV108 @ SV103 ) @ SV103 )
= $true )
| ( ( leq @ n0 @ SV97 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV108 @ SV103 @ SV112 ) @ SV97 )
= SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(830,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[664,829,828,823,819,807,806,800,797,790,784,778,742,732,712,709,695,694,693,692,691,690,689,688,687,686,685,678,677,676,675,674,673,672,671,670,669,668,667,666,665]) ).
thf(831,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(832,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(833,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(834,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(835,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(836,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(837,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(838,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(839,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(840,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(841,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(842,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(843,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(844,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(845,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(846,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(847,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(848,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(849,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(850,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(851,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(852,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(853,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(854,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(855,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(856,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(857,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(858,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(859,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(860,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(861,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(862,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(863,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(864,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(865,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(866,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(867,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(868,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(869,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(870,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[836]) ).
thf(871,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)],[853]) ).
thf(872,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[854]) ).
thf(873,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[856]) ).
thf(874,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)],[852]) ).
thf(875,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)],[832]) ).
thf(876,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[855]) ).
thf(877,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)],[835]) ).
thf(878,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[857]) ).
thf(879,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)],[834]) ).
thf(880,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)],[831]) ).
thf(881,plain,
! [SV118: $i] :
( ( ! [SY233: $i,SY234: $i] :
( ( a_select2 @ ( tptp_update2 @ SV118 @ SY233 @ SY234 ) @ SY233 )
= SY234 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(882,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(883,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(884,plain,
! [SV119: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n5 ) )
| ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 )
| ( SV119 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(885,plain,
! [SV120: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV120 )
| ~ ( leq @ SV120 @ n0 ) )
| ( SV120 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(886,plain,
! [SV121: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n2 ) )
| ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(887,plain,
! [SV122: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV122 )
| ~ ( leq @ SV122 @ n4 ) )
| ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 )
| ( SV122 = n3 )
| ( SV122 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(888,plain,
! [SV123: $i] :
( ( ! [SY235: $i,SY236: $i,SY237: $i,SY238: $i,SY239: $i,SY240: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV123 != SY236 ) )
| ( SY235 != SY237 ) )
| ( ( a_select3 @ SY238 @ SY236 @ SY237 )
!= SY239 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY238 @ SV123 @ SY235 @ SY240 ) @ SY236 @ SY237 )
= SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(889,plain,
! [SV124: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n1 ) )
| ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(890,plain,
! [SV125: $i] :
( ( ! [SY241: $i,SY242: $i,SY243: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY241 ) )
| ( ( a_select2 @ SY242 @ SX4 )
= SY243 ) )
| ~ ( leq @ n0 @ SV125 ) )
| ~ ( leq @ SV125 @ SY241 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY242 @ SY241 @ SY243 ) @ SV125 )
= SY243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(891,plain,
! [SV126: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV126 )
| ~ ( leq @ SV126 @ n3 ) )
| ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(892,plain,
! [SV127: $i] :
( ( ! [SY245: $i,SY246: $i,SY247: $i,SY248: $i] :
( ~ ~ ( ~ ( ( SV127 != SY245 ) )
| ( ( a_select2 @ SY246 @ SY245 )
!= SY247 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY246 @ SV127 @ SY248 ) @ SY245 )
= SY247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(893,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)],[880]) ).
thf(894,plain,
! [SV129: $i,SV118: $i] :
( ( ! [SY251: $i] :
( ( a_select2 @ ( tptp_update2 @ SV118 @ SV129 @ SY251 ) @ SV129 )
= SY251 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(895,plain,
! [SV119: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n5 ) ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 )
| ( SV119 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(896,plain,
! [SV120: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV120 )
| ~ ( leq @ SV120 @ n0 ) ) )
= $true )
| ( ( SV120 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(897,plain,
! [SV121: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n2 ) ) )
= $true )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(898,plain,
! [SV122: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV122 )
| ~ ( leq @ SV122 @ n4 ) ) )
= $true )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 )
| ( SV122 = n3 )
| ( SV122 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(899,plain,
! [SV130: $i,SV123: $i] :
( ( ! [SY252: $i,SY253: $i,SY254: $i,SY255: $i,SY256: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV123 != SY252 ) )
| ( SV130 != SY253 ) )
| ( ( a_select3 @ SY254 @ SY252 @ SY253 )
!= SY255 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY254 @ SV123 @ SV130 @ SY256 ) @ SY252 @ SY253 )
= SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(900,plain,
! [SV124: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n1 ) ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(901,plain,
! [SV125: $i,SV131: $i] :
( ( ! [SY257: $i,SY258: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY259: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY259 )
| ~ ( leq @ SY259 @ SV131 ) )
| ( ( a_select2 @ SY257 @ SY259 )
= SY258 ) )
| ~ ( leq @ n0 @ SV125 ) )
| ~ ( leq @ SV125 @ SV131 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY257 @ SV131 @ SY258 ) @ SV125 )
= SY258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(902,plain,
! [SV126: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV126 )
| ~ ( leq @ SV126 @ n3 ) ) )
= $true )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(903,plain,
! [SV132: $i,SV127: $i] :
( ( ! [SY260: $i,SY261: $i,SY262: $i] :
( ~ ~ ( ~ ( ( SV127 != SV132 ) )
| ( ( a_select2 @ SY260 @ SV132 )
!= SY261 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY260 @ SV127 @ SY262 ) @ SV132 )
= SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(904,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)],[893]) ).
thf(905,plain,
! [SV134: $i,SV129: $i,SV118: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV118 @ SV129 @ SV134 ) @ SV129 )
= SV134 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(906,plain,
! [SV119: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n5 ) ) )
= $false )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 )
| ( SV119 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(907,plain,
! [SV120: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV120 )
| ~ ( leq @ SV120 @ n0 ) ) )
= $false )
| ( ( SV120 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(908,plain,
! [SV121: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n2 ) ) )
= $false )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(909,plain,
! [SV122: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV122 )
| ~ ( leq @ SV122 @ n4 ) ) )
= $false )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 )
| ( SV122 = n3 )
| ( SV122 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(910,plain,
! [SV130: $i,SV135: $i,SV123: $i] :
( ( ! [SY264: $i,SY265: $i,SY266: $i,SY267: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SY264 ) )
| ( ( a_select3 @ SY265 @ SV135 @ SY264 )
!= SY266 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY265 @ SV123 @ SV130 @ SY267 ) @ SV135 @ SY264 )
= SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(911,plain,
! [SV124: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n1 ) ) )
= $false )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(912,plain,
! [SV125: $i,SV136: $i,SV131: $i] :
( ( ! [SY268: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY269: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY269 )
| ~ ( leq @ SY269 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY269 )
= SY268 ) )
| ~ ( leq @ n0 @ SV125 ) )
| ~ ( leq @ SV125 @ SV131 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SY268 ) @ SV125 )
= SY268 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(913,plain,
! [SV126: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV126 )
| ~ ( leq @ SV126 @ n3 ) ) )
= $false )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(914,plain,
! [SV137: $i,SV132: $i,SV127: $i] :
( ( ! [SY270: $i,SY271: $i] :
( ~ ~ ( ~ ( ( SV127 != SV132 ) )
| ( ( a_select2 @ SV137 @ SV132 )
!= SY270 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SY271 ) @ SV132 )
= SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(915,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)],[904]) ).
thf(916,plain,
! [SV119: $i] :
( ( ( ~ ( leq @ n0 @ SV119 )
| ~ ( leq @ SV119 @ n5 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 )
| ( SV119 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(917,plain,
! [SV120: $i] :
( ( ( ~ ( leq @ n0 @ SV120 )
| ~ ( leq @ SV120 @ n0 ) )
= $true )
| ( ( SV120 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(918,plain,
! [SV121: $i] :
( ( ( ~ ( leq @ n0 @ SV121 )
| ~ ( leq @ SV121 @ n2 ) )
= $true )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(919,plain,
! [SV122: $i] :
( ( ( ~ ( leq @ n0 @ SV122 )
| ~ ( leq @ SV122 @ n4 ) )
= $true )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 )
| ( SV122 = n3 )
| ( SV122 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(920,plain,
! [SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ! [SY272: $i,SY273: $i,SY274: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) )
| ( ( a_select3 @ SY272 @ SV135 @ SV139 )
!= SY273 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY272 @ SV123 @ SV130 @ SY274 ) @ SV135 @ SV139 )
= SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(921,plain,
! [SV124: $i] :
( ( ( ~ ( leq @ n0 @ SV124 )
| ~ ( leq @ SV124 @ n1 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[911]) ).
thf(922,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) )
| ~ ( leq @ n0 @ SV125 ) )
| ~ ( leq @ SV125 @ SV131 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(923,plain,
! [SV126: $i] :
( ( ( ~ ( leq @ n0 @ SV126 )
| ~ ( leq @ SV126 @ n3 ) )
= $true )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[913]) ).
thf(924,plain,
! [SV141: $i,SV137: $i,SV132: $i,SV127: $i] :
( ( ! [SY276: $i] :
( ~ ~ ( ~ ( ( SV127 != SV132 ) )
| ( ( a_select2 @ SV137 @ SV132 )
!= SV141 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SY276 ) @ SV132 )
= SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(925,plain,
! [SV119: $i] :
( ( ( ~ ( leq @ n0 @ SV119 ) )
= $true )
| ( ( ~ ( leq @ SV119 @ n5 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 )
| ( SV119 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(926,plain,
! [SV120: $i] :
( ( ( ~ ( leq @ n0 @ SV120 ) )
= $true )
| ( ( ~ ( leq @ SV120 @ n0 ) )
= $true )
| ( ( SV120 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(927,plain,
! [SV121: $i] :
( ( ( ~ ( leq @ n0 @ SV121 ) )
= $true )
| ( ( ~ ( leq @ SV121 @ n2 ) )
= $true )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(928,plain,
! [SV122: $i] :
( ( ( ~ ( leq @ n0 @ SV122 ) )
= $true )
| ( ( ~ ( leq @ SV122 @ n4 ) )
= $true )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 )
| ( SV122 = n3 )
| ( SV122 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(929,plain,
! [SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ! [SY277: $i,SY278: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) )
| ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SY277 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SY278 ) @ SV135 @ SV139 )
= SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(930,plain,
! [SV124: $i] :
( ( ( ~ ( leq @ n0 @ SV124 ) )
= $true )
| ( ( ~ ( leq @ SV124 @ n1 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(931,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) )
| ~ ( leq @ n0 @ SV125 ) )
| ~ ( leq @ SV125 @ SV131 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(932,plain,
! [SV126: $i] :
( ( ( ~ ( leq @ n0 @ SV126 ) )
= $true )
| ( ( ~ ( leq @ SV126 @ n3 ) )
= $true )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(933,plain,
! [SV143: $i,SV141: $i,SV137: $i,SV132: $i,SV127: $i] :
( ( ~ ~ ( ~ ( ( SV127 != SV132 ) )
| ( ( a_select2 @ SV137 @ SV132 )
!= SV141 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SV143 ) @ SV132 )
= SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(934,plain,
! [SV119: $i] :
( ( ( leq @ n0 @ SV119 )
= $false )
| ( ( ~ ( leq @ SV119 @ n5 ) )
= $true )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 )
| ( SV119 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(935,plain,
! [SV120: $i] :
( ( ( leq @ n0 @ SV120 )
= $false )
| ( ( ~ ( leq @ SV120 @ n0 ) )
= $true )
| ( ( SV120 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(936,plain,
! [SV121: $i] :
( ( ( leq @ n0 @ SV121 )
= $false )
| ( ( ~ ( leq @ SV121 @ n2 ) )
= $true )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(937,plain,
! [SV122: $i] :
( ( ( leq @ n0 @ SV122 )
= $false )
| ( ( ~ ( leq @ SV122 @ n4 ) )
= $true )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 )
| ( SV122 = n3 )
| ( SV122 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(938,plain,
! [SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ! [SY279: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) )
| ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SY279 ) @ SV135 @ SV139 )
= SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(939,plain,
! [SV124: $i] :
( ( ( leq @ n0 @ SV124 )
= $false )
| ( ( ~ ( leq @ SV124 @ n1 ) )
= $true )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(940,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) )
| ~ ( leq @ n0 @ SV125 ) )
| ~ ( leq @ SV125 @ SV131 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(941,plain,
! [SV126: $i] :
( ( ( leq @ n0 @ SV126 )
= $false )
| ( ( ~ ( leq @ SV126 @ n3 ) )
= $true )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(942,plain,
! [SV143: $i,SV141: $i,SV137: $i,SV132: $i,SV127: $i] :
( ( ( ~ ~ ( ~ ( ( SV127 != SV132 ) )
| ( ( a_select2 @ SV137 @ SV132 )
!= SV141 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SV143 ) @ SV132 )
= SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(943,plain,
! [SV119: $i] :
( ( ( leq @ SV119 @ n5 )
= $false )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 )
| ( SV119 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(944,plain,
! [SV120: $i] :
( ( ( leq @ SV120 @ n0 )
= $false )
| ( ( leq @ n0 @ SV120 )
= $false )
| ( ( SV120 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(945,plain,
! [SV121: $i] :
( ( ( leq @ SV121 @ n2 )
= $false )
| ( ( leq @ n0 @ SV121 )
= $false )
| ( ( ( SV121 = n0 )
| ( SV121 = n1 )
| ( SV121 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(946,plain,
! [SV122: $i] :
( ( ( leq @ SV122 @ n4 )
= $false )
| ( ( leq @ n0 @ SV122 )
= $false )
| ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 )
| ( SV122 = n3 )
| ( SV122 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(947,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) )
| ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(948,plain,
! [SV124: $i] :
( ( ( leq @ SV124 @ n1 )
= $false )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( ( SV124 = n0 )
| ( SV124 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(949,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ( ~ ~ ( ~ ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) )
| ~ ( leq @ n0 @ SV125 ) )
| ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[940]) ).
thf(950,plain,
! [SV126: $i] :
( ( ( leq @ SV126 @ n3 )
= $false )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 )
| ( SV126 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(951,plain,
! [SV143: $i,SV141: $i,SV137: $i,SV132: $i,SV127: $i] :
( ( ( ~ ( ~ ( ( SV127 != SV132 ) )
| ( ( a_select2 @ SV137 @ SV132 )
!= SV141 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SV143 ) @ SV132 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(952,plain,
! [SV119: $i] :
( ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 )
| ( SV119 = n4 ) )
= $true )
| ( ( SV119 = n5 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(953,plain,
! [SV121: $i] :
( ( ( ( SV121 = n0 )
| ( SV121 = n1 ) )
= $true )
| ( ( SV121 = n2 )
= $true )
| ( ( leq @ n0 @ SV121 )
= $false )
| ( ( leq @ SV121 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(954,plain,
! [SV122: $i] :
( ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 )
| ( SV122 = n3 ) )
= $true )
| ( ( SV122 = n4 )
= $true )
| ( ( leq @ n0 @ SV122 )
= $false )
| ( ( leq @ SV122 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(955,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) )
| ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(956,plain,
! [SV124: $i] :
( ( ( SV124 = n0 )
= $true )
| ( ( SV124 = n1 )
= $true )
| ( ( leq @ n0 @ SV124 )
= $false )
| ( ( leq @ SV124 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(957,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ( ~ ~ ( ~ ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) )
| ~ ( leq @ n0 @ SV125 ) ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(958,plain,
! [SV126: $i] :
( ( ( ( SV126 = n0 )
| ( SV126 = n1 )
| ( SV126 = n2 ) )
= $true )
| ( ( SV126 = n3 )
= $true )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( leq @ SV126 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(959,plain,
! [SV143: $i,SV141: $i,SV137: $i,SV132: $i,SV127: $i] :
( ( ( ~ ( ( SV127 != SV132 ) )
| ( ( a_select2 @ SV137 @ SV132 )
!= SV141 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SV143 ) @ SV132 )
= SV141 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(960,plain,
! [SV119: $i] :
( ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 )
| ( SV119 = n3 ) )
= $true )
| ( ( SV119 = n4 )
= $true )
| ( ( SV119 = n5 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(961,plain,
! [SV121: $i] :
( ( ( SV121 = n0 )
= $true )
| ( ( SV121 = n1 )
= $true )
| ( ( SV121 = n2 )
= $true )
| ( ( leq @ n0 @ SV121 )
= $false )
| ( ( leq @ SV121 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(962,plain,
! [SV122: $i] :
( ( ( ( SV122 = n0 )
| ( SV122 = n1 )
| ( SV122 = n2 ) )
= $true )
| ( ( SV122 = n3 )
= $true )
| ( ( SV122 = n4 )
= $true )
| ( ( leq @ n0 @ SV122 )
= $false )
| ( ( leq @ SV122 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(963,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) )
| ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(964,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ( ~ ( ~ ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) )
| ~ ( leq @ n0 @ SV125 ) ) )
= $false )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(965,plain,
! [SV126: $i] :
( ( ( ( SV126 = n0 )
| ( SV126 = n1 ) )
= $true )
| ( ( SV126 = n2 )
= $true )
| ( ( SV126 = n3 )
= $true )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( leq @ SV126 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(966,plain,
! [SV143: $i,SV141: $i,SV137: $i,SV132: $i,SV127: $i] :
( ( ( ~ ( ( SV127 != SV132 ) ) )
= $true )
| ( ( ( a_select2 @ SV137 @ SV132 )
!= SV141 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SV143 ) @ SV132 )
= SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(967,plain,
! [SV119: $i] :
( ( ( ( SV119 = n0 )
| ( SV119 = n1 )
| ( SV119 = n2 ) )
= $true )
| ( ( SV119 = n3 )
= $true )
| ( ( SV119 = n4 )
= $true )
| ( ( SV119 = n5 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(968,plain,
! [SV122: $i] :
( ( ( ( SV122 = n0 )
| ( SV122 = n1 ) )
= $true )
| ( ( SV122 = n2 )
= $true )
| ( ( SV122 = n3 )
= $true )
| ( ( SV122 = n4 )
= $true )
| ( ( leq @ n0 @ SV122 )
= $false )
| ( ( leq @ SV122 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(969,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) )
| ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(970,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ( ~ ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) )
| ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(971,plain,
! [SV126: $i] :
( ( ( SV126 = n0 )
= $true )
| ( ( SV126 = n1 )
= $true )
| ( ( SV126 = n2 )
= $true )
| ( ( SV126 = n3 )
= $true )
| ( ( leq @ n0 @ SV126 )
= $false )
| ( ( leq @ SV126 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(972,plain,
! [SV143: $i,SV141: $i,SV137: $i,SV132: $i,SV127: $i] :
( ( ( SV127 != SV132 )
= $false )
| ( ( ( a_select2 @ SV137 @ SV132 )
!= SV141 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SV143 ) @ SV132 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(973,plain,
! [SV119: $i] :
( ( ( ( SV119 = n0 )
| ( SV119 = n1 ) )
= $true )
| ( ( SV119 = n2 )
= $true )
| ( ( SV119 = n3 )
= $true )
| ( ( SV119 = n4 )
= $true )
| ( ( SV119 = n5 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(974,plain,
! [SV122: $i] :
( ( ( SV122 = n0 )
= $true )
| ( ( SV122 = n1 )
= $true )
| ( ( SV122 = n2 )
= $true )
| ( ( SV122 = n3 )
= $true )
| ( ( SV122 = n4 )
= $true )
| ( ( leq @ n0 @ SV122 )
= $false )
| ( ( leq @ SV122 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(975,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( ~ ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) ) )
= $true )
| ( ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(976,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ( ~ ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(977,plain,
! [SV143: $i,SV141: $i,SV137: $i,SV132: $i,SV127: $i] :
( ( ( SV127 = SV132 )
= $true )
| ( ( ( a_select2 @ SV137 @ SV132 )
!= SV141 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SV143 ) @ SV132 )
= SV141 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(978,plain,
! [SV119: $i] :
( ( ( SV119 = n0 )
= $true )
| ( ( SV119 = n1 )
= $true )
| ( ( SV119 = n2 )
= $true )
| ( ( SV119 = n3 )
= $true )
| ( ( SV119 = n4 )
= $true )
| ( ( SV119 = n5 )
= $true )
| ( ( leq @ n0 @ SV119 )
= $false )
| ( ( leq @ SV119 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(979,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( ~ ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) ) )
= $false )
| ( ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(980,plain,
! [SV125: $i,SV140: $i,SV136: $i,SV131: $i] :
( ( ( ! [SY275: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY275 )
| ~ ( leq @ SY275 @ SV131 ) )
| ( ( a_select2 @ SV136 @ SY275 )
= SV140 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(981,plain,
! [SV143: $i,SV127: $i,SV141: $i,SV132: $i,SV137: $i] :
( ( ( ( a_select2 @ SV137 @ SV132 )
= SV141 )
= $false )
| ( ( SV127 = SV132 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV137 @ SV127 @ SV143 ) @ SV132 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(982,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( ~ ( ( SV123 != SV135 ) )
| ( SV130 != SV139 ) )
= $true )
| ( ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(983,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
| ~ ( leq @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) @ SV131 ) )
| ( ( a_select2 @ SV136 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
= SV140 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[980]) ).
thf(984,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( ~ ( ( SV123 != SV135 ) ) )
= $true )
| ( ( SV130 != SV139 )
= $true )
| ( ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(985,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
| ~ ( leq @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) @ SV131 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(986,plain,
! [SV131: $i,SV140: $i,SV125: $i,SV136: $i] :
( ( ( ( a_select2 @ SV136 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
= SV140 )
= $false )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(987,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( SV123 != SV135 )
= $false )
| ( ( SV130 != SV139 )
= $true )
| ( ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(988,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
| ~ ( leq @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) @ SV131 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(989,plain,
! [SV131: $i,SV140: $i,SV136: $i,SV125: $i] :
( ( ( leq @ n0 @ SV125 )
= $false )
| ( ( ( a_select2 @ SV136 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
= SV140 )
= $false )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(990,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV139: $i,SV130: $i,SV135: $i,SV123: $i] :
( ( ( SV123 = SV135 )
= $true )
| ( ( SV130 != SV139 )
= $true )
| ( ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(991,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( ~ ( leq @ n0 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
| ~ ( leq @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) @ SV131 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(992,plain,
! [SV140: $i,SV136: $i,SV131: $i,SV125: $i] :
( ( ( leq @ SV125 @ SV131 )
= $false )
| ( ( ( a_select2 @ SV136 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
= SV140 )
= $false )
| ( ( leq @ n0 @ SV125 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(993,plain,
! [SV145: $i,SV144: $i,SV142: $i,SV135: $i,SV123: $i,SV139: $i,SV130: $i] :
( ( ( SV130 = SV139 )
= $false )
| ( ( SV123 = SV135 )
= $true )
| ( ( ( a_select3 @ SV142 @ SV135 @ SV139 )
!= SV144 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(994,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( ~ ( leq @ n0 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(995,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( ~ ( leq @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) @ SV131 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(996,plain,
! [SV145: $i,SV130: $i,SV123: $i,SV144: $i,SV139: $i,SV135: $i,SV142: $i] :
( ( ( ( a_select3 @ SV142 @ SV135 @ SV139 )
= SV144 )
= $false )
| ( ( SV123 = SV135 )
= $true )
| ( ( SV130 = SV139 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV142 @ SV123 @ SV130 @ SV145 ) @ SV135 @ SV139 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(997,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( leq @ n0 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(998,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( leq @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) @ SV131 )
= $true )
| ( ( ~ ( leq @ n0 @ SV125 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(999,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( leq @ n0 @ SV125 )
= $false )
| ( ( leq @ n0 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1000,plain,
! [SV131: $i,SV136: $i,SV140: $i,SV125: $i] :
( ( ( leq @ n0 @ SV125 )
= $false )
| ( ( leq @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) @ SV131 )
= $true )
| ( ( ~ ( leq @ SV125 @ SV131 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1001,plain,
! [SV136: $i,SV140: $i,SV131: $i,SV125: $i] :
( ( ( leq @ SV125 @ SV131 )
= $false )
| ( ( leq @ n0 @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) )
= $true )
| ( ( leq @ n0 @ SV125 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1002,plain,
! [SV136: $i,SV140: $i,SV131: $i,SV125: $i] :
( ( ( leq @ SV125 @ SV131 )
= $false )
| ( ( leq @ ( sK5_SY275 @ SV125 @ SV140 @ SV136 @ SV131 ) @ SV131 )
= $true )
| ( ( leq @ n0 @ SV125 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV136 @ SV131 @ SV140 ) @ SV125 )
= SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1003,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[837,1002,1001,996,992,981,978,974,971,961,956,944,915,905,883,882,868,867,866,865,864,863,862,861,860,859,858,851,850,849,848,847,846,845,844,843,842,841,840,839,838]) ).
thf(1004,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(1005,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(1006,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(1007,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(1008,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(1009,plain,
( ( def != use )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(1010,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(1011,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(1012,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(1013,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(1014,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(1015,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(1016,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(1017,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(1018,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(1019,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(1020,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(1021,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(1022,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(1023,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(1024,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(1025,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(1026,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(1027,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(1028,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(1029,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(1030,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(1031,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(1032,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(1033,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(1034,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(1035,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(1036,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
= use )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(1037,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
= use )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(1038,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
= use )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(1039,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(1040,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(1041,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(1042,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(1043,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)],[1008]) ).
thf(1044,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1029]) ).
thf(1045,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)],[1025]) ).
thf(1046,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1028]) ).
thf(1047,plain,
( ( def != use )
= $true ),
inference(unfold_def,[status(thm)],[1009]) ).
thf(1048,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)],[1026]) ).
thf(1049,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1030]) ).
thf(1050,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1027]) ).
thf(1051,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)],[1005]) ).
thf(1052,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)],[1007]) ).
thf(1053,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)],[1004]) ).
thf(1054,plain,
! [SV147: $i] :
( ( ! [SY283: $i,SY284: $i] :
( ( a_select2 @ ( tptp_update2 @ SV147 @ SY283 @ SY284 ) @ SY283 )
= SY284 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1055,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_defuse @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1056,plain,
! [SV148: $i] :
( ( ! [SY285: $i,SY286: $i,SY287: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY285 ) )
| ( ( a_select2 @ SY286 @ SX4 )
= SY287 ) )
| ~ ( leq @ n0 @ SV148 ) )
| ~ ( leq @ SV148 @ SY285 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY286 @ SY285 @ SY287 ) @ SV148 )
= SY287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1057,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n2 ) )
| ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1058,plain,
! [SV150: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV150 )
| ~ ( leq @ SV150 @ n4 ) )
| ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1059,plain,
! [SV151: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n1 ) )
| ( SV151 = n0 )
| ( SV151 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1060,plain,
( ( def = use )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1061,plain,
! [SV152: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV152 )
| ~ ( leq @ SV152 @ n5 ) )
| ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 )
| ( SV152 = n4 )
| ( SV152 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1062,plain,
! [SV153: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV153 )
| ~ ( leq @ SV153 @ n3 ) )
| ( SV153 = n0 )
| ( SV153 = n1 )
| ( SV153 = n2 )
| ( SV153 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1063,plain,
! [SV154: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n0 ) )
| ( SV154 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1064,plain,
! [SV155: $i] :
( ( ! [SY289: $i,SY290: $i,SY291: $i,SY292: $i,SY293: $i,SY294: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV155 != SY290 ) )
| ( SY289 != SY291 ) )
| ( ( a_select3 @ SY292 @ SY290 @ SY291 )
!= SY293 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY292 @ SV155 @ SY289 @ SY294 ) @ SY290 @ SY291 )
= SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1065,plain,
! [SV156: $i] :
( ( ! [SY295: $i,SY296: $i,SY297: $i,SY298: $i] :
( ~ ~ ( ~ ( ( SV156 != SY295 ) )
| ( ( a_select2 @ SY296 @ SY295 )
!= SY297 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY296 @ SV156 @ SY298 ) @ SY295 )
= SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1066,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)],[1053]) ).
thf(1067,plain,
! [SV158: $i,SV147: $i] :
( ( ! [SY301: $i] :
( ( a_select2 @ ( tptp_update2 @ SV147 @ SV158 @ SY301 ) @ SV158 )
= SY301 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1068,plain,
! [SV148: $i,SV159: $i] :
( ( ! [SY302: $i,SY303: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY304: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY304 )
| ~ ( leq @ SY304 @ SV159 ) )
| ( ( a_select2 @ SY302 @ SY304 )
= SY303 ) )
| ~ ( leq @ n0 @ SV148 ) )
| ~ ( leq @ SV148 @ SV159 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY302 @ SV159 @ SY303 ) @ SV148 )
= SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1056]) ).
thf(1069,plain,
! [SV149: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n2 ) ) )
= $true )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1070,plain,
! [SV150: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV150 )
| ~ ( leq @ SV150 @ n4 ) ) )
= $true )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1071,plain,
! [SV151: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n1 ) ) )
= $true )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1072,plain,
! [SV152: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV152 )
| ~ ( leq @ SV152 @ n5 ) ) )
= $true )
| ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 )
| ( SV152 = n4 )
| ( SV152 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1073,plain,
! [SV153: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV153 )
| ~ ( leq @ SV153 @ n3 ) ) )
= $true )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 )
| ( SV153 = n2 )
| ( SV153 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1074,plain,
! [SV154: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n0 ) ) )
= $true )
| ( ( SV154 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1075,plain,
! [SV160: $i,SV155: $i] :
( ( ! [SY305: $i,SY306: $i,SY307: $i,SY308: $i,SY309: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV155 != SY305 ) )
| ( SV160 != SY306 ) )
| ( ( a_select3 @ SY307 @ SY305 @ SY306 )
!= SY308 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY307 @ SV155 @ SV160 @ SY309 ) @ SY305 @ SY306 )
= SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1064]) ).
thf(1076,plain,
! [SV161: $i,SV156: $i] :
( ( ! [SY310: $i,SY311: $i,SY312: $i] :
( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SY310 @ SV161 )
!= SY311 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY310 @ SV156 @ SY312 ) @ SV161 )
= SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1077,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)],[1066]) ).
thf(1078,plain,
! [SV163: $i,SV158: $i,SV147: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV147 @ SV158 @ SV163 ) @ SV158 )
= SV163 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1079,plain,
! [SV148: $i,SV164: $i,SV159: $i] :
( ( ! [SY314: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY315: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY315 )
| ~ ( leq @ SY315 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY315 )
= SY314 ) )
| ~ ( leq @ n0 @ SV148 ) )
| ~ ( leq @ SV148 @ SV159 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SY314 ) @ SV148 )
= SY314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1080,plain,
! [SV149: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n2 ) ) )
= $false )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1081,plain,
! [SV150: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV150 )
| ~ ( leq @ SV150 @ n4 ) ) )
= $false )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1082,plain,
! [SV151: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n1 ) ) )
= $false )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1083,plain,
! [SV152: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV152 )
| ~ ( leq @ SV152 @ n5 ) ) )
= $false )
| ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 )
| ( SV152 = n4 )
| ( SV152 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1084,plain,
! [SV153: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV153 )
| ~ ( leq @ SV153 @ n3 ) ) )
= $false )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 )
| ( SV153 = n2 )
| ( SV153 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1085,plain,
! [SV154: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n0 ) ) )
= $false )
| ( ( SV154 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1086,plain,
! [SV160: $i,SV165: $i,SV155: $i] :
( ( ! [SY316: $i,SY317: $i,SY318: $i,SY319: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SY316 ) )
| ( ( a_select3 @ SY317 @ SV165 @ SY316 )
!= SY318 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY317 @ SV155 @ SV160 @ SY319 ) @ SV165 @ SY316 )
= SY318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1087,plain,
! [SV166: $i,SV161: $i,SV156: $i] :
( ( ! [SY320: $i,SY321: $i] :
( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SY320 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SY321 ) @ SV161 )
= SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1088,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)],[1077]) ).
thf(1089,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV148 ) )
| ~ ( leq @ SV148 @ SV159 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1090,plain,
! [SV149: $i] :
( ( ( ~ ( leq @ n0 @ SV149 )
| ~ ( leq @ SV149 @ n2 ) )
= $true )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1091,plain,
! [SV150: $i] :
( ( ( ~ ( leq @ n0 @ SV150 )
| ~ ( leq @ SV150 @ n4 ) )
= $true )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1092,plain,
! [SV151: $i] :
( ( ( ~ ( leq @ n0 @ SV151 )
| ~ ( leq @ SV151 @ n1 ) )
= $true )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1093,plain,
! [SV152: $i] :
( ( ( ~ ( leq @ n0 @ SV152 )
| ~ ( leq @ SV152 @ n5 ) )
= $true )
| ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 )
| ( SV152 = n4 )
| ( SV152 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1094,plain,
! [SV153: $i] :
( ( ( ~ ( leq @ n0 @ SV153 )
| ~ ( leq @ SV153 @ n3 ) )
= $true )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 )
| ( SV153 = n2 )
| ( SV153 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1095,plain,
! [SV154: $i] :
( ( ( ~ ( leq @ n0 @ SV154 )
| ~ ( leq @ SV154 @ n0 ) )
= $true )
| ( ( SV154 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1096,plain,
! [SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ! [SY323: $i,SY324: $i,SY325: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SY323 @ SV165 @ SV169 )
!= SY324 ) )
| ( ( a_select3 @ ( tptp_update3 @ SY323 @ SV155 @ SV160 @ SY325 ) @ SV165 @ SV169 )
= SY324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1097,plain,
! [SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ! [SY326: $i] :
( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SY326 ) @ SV161 )
= SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1098,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV148 ) )
| ~ ( leq @ SV148 @ SV159 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1099,plain,
! [SV149: $i] :
( ( ( ~ ( leq @ n0 @ SV149 ) )
= $true )
| ( ( ~ ( leq @ SV149 @ n2 ) )
= $true )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1100,plain,
! [SV150: $i] :
( ( ( ~ ( leq @ n0 @ SV150 ) )
= $true )
| ( ( ~ ( leq @ SV150 @ n4 ) )
= $true )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1101,plain,
! [SV151: $i] :
( ( ( ~ ( leq @ n0 @ SV151 ) )
= $true )
| ( ( ~ ( leq @ SV151 @ n1 ) )
= $true )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1102,plain,
! [SV152: $i] :
( ( ( ~ ( leq @ n0 @ SV152 ) )
= $true )
| ( ( ~ ( leq @ SV152 @ n5 ) )
= $true )
| ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 )
| ( SV152 = n4 )
| ( SV152 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1103,plain,
! [SV153: $i] :
( ( ( ~ ( leq @ n0 @ SV153 ) )
= $true )
| ( ( ~ ( leq @ SV153 @ n3 ) )
= $true )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 )
| ( SV153 = n2 )
| ( SV153 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1104,plain,
! [SV154: $i] :
( ( ( ~ ( leq @ n0 @ SV154 ) )
= $true )
| ( ( ~ ( leq @ SV154 @ n0 ) )
= $true )
| ( ( SV154 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1105,plain,
! [SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ! [SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SY327 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SY328 ) @ SV165 @ SV169 )
= SY327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1106,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1107,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV148 ) )
| ~ ( leq @ SV148 @ SV159 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1108,plain,
! [SV149: $i] :
( ( ( leq @ n0 @ SV149 )
= $false )
| ( ( ~ ( leq @ SV149 @ n2 ) )
= $true )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1109,plain,
! [SV150: $i] :
( ( ( leq @ n0 @ SV150 )
= $false )
| ( ( ~ ( leq @ SV150 @ n4 ) )
= $true )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1110,plain,
! [SV151: $i] :
( ( ( leq @ n0 @ SV151 )
= $false )
| ( ( ~ ( leq @ SV151 @ n1 ) )
= $true )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1111,plain,
! [SV152: $i] :
( ( ( leq @ n0 @ SV152 )
= $false )
| ( ( ~ ( leq @ SV152 @ n5 ) )
= $true )
| ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 )
| ( SV152 = n4 )
| ( SV152 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1112,plain,
! [SV153: $i] :
( ( ( leq @ n0 @ SV153 )
= $false )
| ( ( ~ ( leq @ SV153 @ n3 ) )
= $true )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 )
| ( SV153 = n2 )
| ( SV153 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1113,plain,
! [SV154: $i] :
( ( ( leq @ n0 @ SV154 )
= $false )
| ( ( ~ ( leq @ SV154 @ n0 ) )
= $true )
| ( ( SV154 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1114,plain,
! [SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ! [SY329: $i] :
( ~ ~ ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SY329 ) @ SV165 @ SV169 )
= SV173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1115,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( ~ ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1116,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV148 ) )
| ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1117,plain,
! [SV149: $i] :
( ( ( leq @ SV149 @ n2 )
= $false )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( ( SV149 = n0 )
| ( SV149 = n1 )
| ( SV149 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1118,plain,
! [SV150: $i] :
( ( ( leq @ SV150 @ n4 )
= $false )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 )
| ( SV150 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1119,plain,
! [SV151: $i] :
( ( ( leq @ SV151 @ n1 )
= $false )
| ( ( leq @ n0 @ SV151 )
= $false )
| ( ( ( SV151 = n0 )
| ( SV151 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1120,plain,
! [SV152: $i] :
( ( ( leq @ SV152 @ n5 )
= $false )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 )
| ( SV152 = n4 )
| ( SV152 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1121,plain,
! [SV153: $i] :
( ( ( leq @ SV153 @ n3 )
= $false )
| ( ( leq @ n0 @ SV153 )
= $false )
| ( ( ( SV153 = n0 )
| ( SV153 = n1 )
| ( SV153 = n2 )
| ( SV153 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1122,plain,
! [SV154: $i] :
( ( ( leq @ SV154 @ n0 )
= $false )
| ( ( leq @ n0 @ SV154 )
= $false )
| ( ( SV154 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1123,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) )
| ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1124,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( ~ ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1125,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV148 ) ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1126,plain,
! [SV149: $i] :
( ( ( ( SV149 = n0 )
| ( SV149 = n1 ) )
= $true )
| ( ( SV149 = n2 )
= $true )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( leq @ SV149 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1127,plain,
! [SV150: $i] :
( ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 )
| ( SV150 = n3 ) )
= $true )
| ( ( SV150 = n4 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1128,plain,
! [SV151: $i] :
( ( ( SV151 = n0 )
= $true )
| ( ( SV151 = n1 )
= $true )
| ( ( leq @ n0 @ SV151 )
= $false )
| ( ( leq @ SV151 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1129,plain,
! [SV152: $i] :
( ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 )
| ( SV152 = n4 ) )
= $true )
| ( ( SV152 = n5 )
= $true )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( leq @ SV152 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1130,plain,
! [SV153: $i] :
( ( ( ( SV153 = n0 )
| ( SV153 = n1 )
| ( SV153 = n2 ) )
= $true )
| ( ( SV153 = n3 )
= $true )
| ( ( leq @ n0 @ SV153 )
= $false )
| ( ( leq @ SV153 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1131,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1132,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( ~ ( ( SV156 != SV161 ) )
| ( ( a_select2 @ SV166 @ SV161 )
!= SV170 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1133,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV148 ) ) )
= $false )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1134,plain,
! [SV149: $i] :
( ( ( SV149 = n0 )
= $true )
| ( ( SV149 = n1 )
= $true )
| ( ( SV149 = n2 )
= $true )
| ( ( leq @ n0 @ SV149 )
= $false )
| ( ( leq @ SV149 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1135,plain,
! [SV150: $i] :
( ( ( ( SV150 = n0 )
| ( SV150 = n1 )
| ( SV150 = n2 ) )
= $true )
| ( ( SV150 = n3 )
= $true )
| ( ( SV150 = n4 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1136,plain,
! [SV152: $i] :
( ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 )
| ( SV152 = n3 ) )
= $true )
| ( ( SV152 = n4 )
= $true )
| ( ( SV152 = n5 )
= $true )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( leq @ SV152 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1129]) ).
thf(1137,plain,
! [SV153: $i] :
( ( ( ( SV153 = n0 )
| ( SV153 = n1 ) )
= $true )
| ( ( SV153 = n2 )
= $true )
| ( ( SV153 = n3 )
= $true )
| ( ( leq @ n0 @ SV153 )
= $false )
| ( ( leq @ SV153 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1138,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) ) )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1139,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( ~ ( ( SV156 != SV161 ) ) )
= $true )
| ( ( ( a_select2 @ SV166 @ SV161 )
!= SV170 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1140,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) )
| ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1141,plain,
! [SV150: $i] :
( ( ( ( SV150 = n0 )
| ( SV150 = n1 ) )
= $true )
| ( ( SV150 = n2 )
= $true )
| ( ( SV150 = n3 )
= $true )
| ( ( SV150 = n4 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1135]) ).
thf(1142,plain,
! [SV152: $i] :
( ( ( ( SV152 = n0 )
| ( SV152 = n1 )
| ( SV152 = n2 ) )
= $true )
| ( ( SV152 = n3 )
= $true )
| ( ( SV152 = n4 )
= $true )
| ( ( SV152 = n5 )
= $true )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( leq @ SV152 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1143,plain,
! [SV153: $i] :
( ( ( SV153 = n0 )
= $true )
| ( ( SV153 = n1 )
= $true )
| ( ( SV153 = n2 )
= $true )
| ( ( SV153 = n3 )
= $true )
| ( ( leq @ n0 @ SV153 )
= $false )
| ( ( leq @ SV153 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1144,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) )
| ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 ) )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1145,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( SV156 != SV161 )
= $false )
| ( ( ( a_select2 @ SV166 @ SV161 )
!= SV170 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1146,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ~ ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1140]) ).
thf(1147,plain,
! [SV150: $i] :
( ( ( SV150 = n0 )
= $true )
| ( ( SV150 = n1 )
= $true )
| ( ( SV150 = n2 )
= $true )
| ( ( SV150 = n3 )
= $true )
| ( ( SV150 = n4 )
= $true )
| ( ( leq @ n0 @ SV150 )
= $false )
| ( ( leq @ SV150 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1148,plain,
! [SV152: $i] :
( ( ( ( SV152 = n0 )
| ( SV152 = n1 ) )
= $true )
| ( ( SV152 = n2 )
= $true )
| ( ( SV152 = n3 )
= $true )
| ( ( SV152 = n4 )
= $true )
| ( ( SV152 = n5 )
= $true )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( leq @ SV152 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1149,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( ~ ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) ) )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1150,plain,
! [SV172: $i,SV170: $i,SV166: $i,SV161: $i,SV156: $i] :
( ( ( SV156 = SV161 )
= $true )
| ( ( ( a_select2 @ SV166 @ SV161 )
!= SV170 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1151,plain,
! [SV148: $i,SV168: $i,SV164: $i,SV159: $i] :
( ( ( ! [SY322: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY322 )
| ~ ( leq @ SY322 @ SV159 ) )
| ( ( a_select2 @ SV164 @ SY322 )
= SV168 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1152,plain,
! [SV152: $i] :
( ( ( SV152 = n0 )
= $true )
| ( ( SV152 = n1 )
= $true )
| ( ( SV152 = n2 )
= $true )
| ( ( SV152 = n3 )
= $true )
| ( ( SV152 = n4 )
= $true )
| ( ( SV152 = n5 )
= $true )
| ( ( leq @ n0 @ SV152 )
= $false )
| ( ( leq @ SV152 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1153,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( ~ ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) ) )
= $false )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1154,plain,
! [SV172: $i,SV156: $i,SV170: $i,SV161: $i,SV166: $i] :
( ( ( ( a_select2 @ SV166 @ SV161 )
= SV170 )
= $false )
| ( ( SV156 = SV161 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV166 @ SV156 @ SV172 ) @ SV161 )
= SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1155,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
| ~ ( leq @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) @ SV159 ) )
| ( ( a_select2 @ SV164 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
= SV168 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1151]) ).
thf(1156,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV165 ) )
| ( SV160 != SV169 ) )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1157,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
| ~ ( leq @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) @ SV159 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1158,plain,
! [SV159: $i,SV168: $i,SV148: $i,SV164: $i] :
( ( ( ( a_select2 @ SV164 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
= SV168 )
= $false )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1159,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( ~ ( ( SV155 != SV165 ) ) )
= $true )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1160,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
| ~ ( leq @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) @ SV159 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1161,plain,
! [SV159: $i,SV168: $i,SV164: $i,SV148: $i] :
( ( ( leq @ n0 @ SV148 )
= $false )
| ( ( ( a_select2 @ SV164 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
= SV168 )
= $false )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1162,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( SV155 != SV165 )
= $false )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1163,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
| ~ ( leq @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) @ SV159 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1164,plain,
! [SV168: $i,SV164: $i,SV159: $i,SV148: $i] :
( ( ( leq @ SV148 @ SV159 )
= $false )
| ( ( ( a_select2 @ SV164 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
= SV168 )
= $false )
| ( ( leq @ n0 @ SV148 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1165,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV169: $i,SV160: $i,SV165: $i,SV155: $i] :
( ( ( SV155 = SV165 )
= $true )
| ( ( SV160 != SV169 )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1166,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( ~ ( leq @ n0 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1167,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( ~ ( leq @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) @ SV159 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1168,plain,
! [SV174: $i,SV173: $i,SV171: $i,SV165: $i,SV155: $i,SV169: $i,SV160: $i] :
( ( ( SV160 = SV169 )
= $false )
| ( ( SV155 = SV165 )
= $true )
| ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
!= SV173 )
= $true )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1169,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( leq @ n0 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1170,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( leq @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) @ SV159 )
= $true )
| ( ( ~ ( leq @ n0 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1171,plain,
! [SV174: $i,SV160: $i,SV155: $i,SV173: $i,SV169: $i,SV165: $i,SV171: $i] :
( ( ( ( a_select3 @ SV171 @ SV165 @ SV169 )
= SV173 )
= $false )
| ( ( SV155 = SV165 )
= $true )
| ( ( SV160 = SV169 )
= $false )
| ( ( ( a_select3 @ ( tptp_update3 @ SV171 @ SV155 @ SV160 @ SV174 ) @ SV165 @ SV169 )
= SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1172,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( leq @ n0 @ SV148 )
= $false )
| ( ( leq @ n0 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1173,plain,
! [SV159: $i,SV164: $i,SV168: $i,SV148: $i] :
( ( ( leq @ n0 @ SV148 )
= $false )
| ( ( leq @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) @ SV159 )
= $true )
| ( ( ~ ( leq @ SV148 @ SV159 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1174,plain,
! [SV164: $i,SV168: $i,SV159: $i,SV148: $i] :
( ( ( leq @ SV148 @ SV159 )
= $false )
| ( ( leq @ n0 @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) )
= $true )
| ( ( leq @ n0 @ SV148 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1175,plain,
! [SV164: $i,SV168: $i,SV159: $i,SV148: $i] :
( ( ( leq @ SV148 @ SV159 )
= $false )
| ( ( leq @ ( sK6_SY322 @ SV148 @ SV168 @ SV164 @ SV159 ) @ SV159 )
= $true )
| ( ( leq @ n0 @ SV148 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV164 @ SV159 @ SV168 ) @ SV148 )
= SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1176,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1010,1175,1174,1171,1164,1154,1152,1147,1143,1134,1128,1122,1088,1078,1060,1055,1041,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011]) ).
thf(1177,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1176,311,484,657,830,1003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV104+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
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 16:24:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.32/1.86
% 9.32/1.86 No.of.Axioms: 32
% 9.32/1.86
% 9.32/1.86 Length.of.Defs: 0
% 9.32/1.86
% 9.32/1.86 Contains.Choice.Funs: false
% 9.32/1.86 ........................................
% 9.32/1.86
% 9.32/1.86 ********************************
% 9.32/1.86 * All subproblems solved! *
% 9.32/1.86 ********************************
% 9.32/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:38,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:1176,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.32/1.86
% 9.32/1.86 %**** Beginning of derivation protocol ****
% 9.32/1.86 % SZS output start CNFRefutation
% See solution above
% 9.32/1.87
% 9.32/1.87 %**** End of derivation protocol ****
% 9.32/1.87 %**** no. of clauses in derivation: 1125 ****
% 9.32/1.87 %**** clause counter: 1176 ****
% 9.32/1.87
% 9.32/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:38,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:1176,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------