%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV217+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 10:56:15 AM UTC 2026
% Result : Theorem 2.61s 0.66s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 46
% Syntax : Number of formulae : 537 ( 332 unt; 0 typ; 0 def)
% Number of atoms : 3290 (1907 equ; 0 cnn)
% Maximal formula atoms : 58 ( 6 avg)
% Number of connectives : 3897 ( 944 ~; 742 |; 361 &;1786 @)
% ( 6 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 40 usr; 17 con; 0-4 aty)
% Number of variables : 535 ( 0 ^; 535 !; 0 ?; 535 :)
% 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_divide,type,
divide: $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_n400,type,
n400: $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_A,type,
sK1_A: $i ).
thf(tp_sK2_SY41,type,
sK2_SY41: $i ).
thf(tp_sK3_SY75,type,
sK3_SY75: $i > $i > $i > $i > $i ).
thf(tp_sigma,type,
sigma: $i ).
thf(tp_succ,type,
succ: $i > $i ).
thf(tp_sum,type,
sum: $i > $i > $i > $i ).
thf(tp_times,type,
times: $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_uniform_int_rnd,type,
uniform_int_rnd: $i > $i > $i ).
thf(tp_use,type,
use: $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 @ n400 @ n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_400_3) ).
thf(13,axiom,
gt @ n5 @ n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
thf(14,axiom,
gt @ n4 @ n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
thf(15,axiom,
gt @ n3 @ n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
thf(16,axiom,
gt @ n400 @ n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_400_2) ).
thf(17,axiom,
gt @ n5 @ n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
thf(18,axiom,
gt @ n4 @ n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
thf(19,axiom,
gt @ n3 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
thf(20,axiom,
gt @ n2 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
thf(21,axiom,
gt @ n400 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_400_1) ).
thf(22,axiom,
gt @ n5 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
thf(23,axiom,
gt @ n4 @ n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
thf(24,axiom,
gt @ n3 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
thf(25,axiom,
gt @ n2 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
thf(26,axiom,
gt @ n1 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
thf(27,axiom,
gt @ n400 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_400_0) ).
thf(28,axiom,
gt @ n5 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
thf(29,axiom,
gt @ n4 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
thf(37,axiom,
gt @ n400 @ n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_400_5) ).
thf(38,axiom,
gt @ n400 @ n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_400_4) ).
thf(39,axiom,
gt @ n5 @ n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
thf(42,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(43,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(44,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(48,axiom,
! [X: $i,Y: $i] :
( ( leq @ ( minus @ X @ Y ) @ X )
=> ( leq @ n0 @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_minus) ).
thf(50,axiom,
! [X: $i,Y: $i] :
( ( leq @ ( succ @ X ) @ ( succ @ Y ) )
<=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_succ) ).
thf(77,axiom,
! [X: $i,C: $i] :
( ( leq @ n0 @ X )
=> ( leq @ n0 @ ( uniform_int_rnd @ C @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
thf(78,axiom,
! [X: $i,C: $i] :
( ( leq @ n0 @ X )
=> ( leq @ ( uniform_int_rnd @ C @ X ) @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
thf(80,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
=> ( leq @ X @ ( succ @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ) ).
thf(83,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( X != Y ) )
=> ( gt @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
thf(84,axiom,
! [X: $i,Y: $i] :
( ( gt @ Y @ X )
=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
thf(85,axiom,
! [X: $i,Y: $i] :
( ( geq @ X @ Y )
<=> ( leq @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_geq) ).
thf(87,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
thf(88,axiom,
! [X: $i] : ( leq @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
thf(92,conjecture,
! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n5 )
& ( leq @ B @ n5 ) )
=> ( ( ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n2 = A )
& ( n2 = B )
& ( n3 = B ) )
=> ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0241) ).
thf(93,negated_conjecture,
( ( ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n5 )
& ( leq @ B @ n5 ) )
=> ( ( ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n2 = A )
& ( n2 = B )
& ( n3 = B ) )
=> ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[92]) ).
thf(94,plain,
( ( ! [A: $i,B: $i] :
( ( ( leq @ n0 @ A )
& ( leq @ n0 @ B )
& ( leq @ A @ n5 )
& ( leq @ B @ n5 ) )
=> ( ( ~ ( ( n0 = A )
& ( n4 = B ) )
& ~ ( ( n0 = A )
& ( n5 = B ) )
& ~ ( ( n0 = B )
& ( n3 = A ) )
& ~ ( ( n0 = B )
& ( n4 = A ) )
& ~ ( ( n0 = B )
& ( n5 = A ) )
& ~ ( ( n1 = A )
& ( n4 = B ) )
& ~ ( ( n1 = A )
& ( n5 = B ) )
& ~ ( ( n1 = B )
& ( n3 = A ) )
& ~ ( ( n1 = B )
& ( n4 = A ) )
& ~ ( ( n1 = B )
& ( n5 = A ) )
& ~ ( ( n2 = A )
& ( n3 = B ) )
& ~ ( ( n2 = A )
& ( n4 = B ) )
& ~ ( ( n2 = A )
& ( n5 = B ) )
& ~ ( ( n2 = B )
& ( n3 = A ) )
& ~ ( ( n2 = B )
& ( n4 = A ) )
& ~ ( ( n2 = B )
& ( n5 = A ) )
& ~ ( ( n3 = A )
& ( n3 = B ) )
& ~ ( ( n3 = A )
& ( n4 = B ) )
& ~ ( ( n3 = A )
& ( n5 = B ) )
& ~ ( ( n3 = B )
& ( n4 = A ) )
& ~ ( ( n3 = B )
& ( n5 = A ) )
& ~ ( ( n4 = A )
& ( n4 = B ) )
& ~ ( ( n4 = A )
& ( n5 = B ) )
& ~ ( ( n4 = B )
& ( n5 = A ) )
& ~ ( ( n5 = A )
& ( n5 = B ) )
& ( n2 = A )
& ( n2 = B )
& ( n3 = B ) )
=> ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[93]) ).
thf(95,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(96,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(97,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(98,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(99,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(100,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(101,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(102,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(103,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(104,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(105,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(106,plain,
( ( gt @ n400 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(107,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(108,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(109,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(110,plain,
( ( gt @ n400 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(111,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(112,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(113,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(114,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(115,plain,
( ( gt @ n400 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(116,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(117,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(118,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(119,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(120,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(121,plain,
( ( gt @ n400 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(122,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(123,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(124,plain,
( ( gt @ n400 @ n5 )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(125,plain,
( ( gt @ n400 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(126,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(127,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)],[42]) ).
thf(128,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)],[43]) ).
thf(129,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(130,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ ( minus @ X @ Y ) @ X )
=> ( leq @ n0 @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(131,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ ( succ @ X ) @ ( succ @ Y ) )
<=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(132,plain,
( ( ! [X: $i,C: $i] :
( ( leq @ n0 @ X )
=> ( leq @ n0 @ ( uniform_int_rnd @ C @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(133,plain,
( ( ! [X: $i,C: $i] :
( ( leq @ n0 @ X )
=> ( leq @ ( uniform_int_rnd @ C @ X ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(134,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
=> ( leq @ X @ ( succ @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(135,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( X != Y ) )
=> ( gt @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(136,plain,
( ( ! [X: $i,Y: $i] :
( ( gt @ Y @ X )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(137,plain,
( ( ! [X: $i,Y: $i] :
( ( geq @ X @ Y )
<=> ( leq @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(138,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(139,plain,
( ( ! [X: $i] : ( leq @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(140,plain,
( ( ! [SY41: $i] :
( ( ( leq @ n0 @ sK1_A )
& ( leq @ n0 @ SY41 )
& ( leq @ sK1_A @ n5 )
& ( leq @ SY41 @ n5 ) )
=> ( ( ~ ( ( n0 = sK1_A )
& ( n4 = SY41 ) )
& ~ ( ( n0 = sK1_A )
& ( n5 = SY41 ) )
& ~ ( ( n0 = SY41 )
& ( n3 = sK1_A ) )
& ~ ( ( n0 = SY41 )
& ( n4 = sK1_A ) )
& ~ ( ( n0 = SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n1 = sK1_A )
& ( n4 = SY41 ) )
& ~ ( ( n1 = sK1_A )
& ( n5 = SY41 ) )
& ~ ( ( n1 = SY41 )
& ( n3 = sK1_A ) )
& ~ ( ( n1 = SY41 )
& ( n4 = sK1_A ) )
& ~ ( ( n1 = SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n2 = sK1_A )
& ( n3 = SY41 ) )
& ~ ( ( n2 = sK1_A )
& ( n4 = SY41 ) )
& ~ ( ( n2 = sK1_A )
& ( n5 = SY41 ) )
& ~ ( ( n2 = SY41 )
& ( n3 = sK1_A ) )
& ~ ( ( n2 = SY41 )
& ( n4 = sK1_A ) )
& ~ ( ( n2 = SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n3 = sK1_A )
& ( n3 = SY41 ) )
& ~ ( ( n3 = sK1_A )
& ( n4 = SY41 ) )
& ~ ( ( n3 = sK1_A )
& ( n5 = SY41 ) )
& ~ ( ( n3 = SY41 )
& ( n4 = sK1_A ) )
& ~ ( ( n3 = SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n4 = sK1_A )
& ( n4 = SY41 ) )
& ~ ( ( n4 = sK1_A )
& ( n5 = SY41 ) )
& ~ ( ( n4 = SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n5 = sK1_A )
& ( n5 = SY41 ) )
& ( n2 = sK1_A )
& ( n2 = SY41 )
& ( n3 = SY41 ) )
=> ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[94]) ).
thf(141,plain,
( ( ( ( leq @ n0 @ sK1_A )
& ( leq @ n0 @ sK2_SY41 )
& ( leq @ sK1_A @ n5 )
& ( leq @ sK2_SY41 @ n5 ) )
=> ( ( ~ ( ( n0 = sK1_A )
& ( n4 = sK2_SY41 ) )
& ~ ( ( n0 = sK1_A )
& ( n5 = sK2_SY41 ) )
& ~ ( ( n0 = sK2_SY41 )
& ( n3 = sK1_A ) )
& ~ ( ( n0 = sK2_SY41 )
& ( n4 = sK1_A ) )
& ~ ( ( n0 = sK2_SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n1 = sK1_A )
& ( n4 = sK2_SY41 ) )
& ~ ( ( n1 = sK1_A )
& ( n5 = sK2_SY41 ) )
& ~ ( ( n1 = sK2_SY41 )
& ( n3 = sK1_A ) )
& ~ ( ( n1 = sK2_SY41 )
& ( n4 = sK1_A ) )
& ~ ( ( n1 = sK2_SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n2 = sK1_A )
& ( n3 = sK2_SY41 ) )
& ~ ( ( n2 = sK1_A )
& ( n4 = sK2_SY41 ) )
& ~ ( ( n2 = sK1_A )
& ( n5 = sK2_SY41 ) )
& ~ ( ( n2 = sK2_SY41 )
& ( n3 = sK1_A ) )
& ~ ( ( n2 = sK2_SY41 )
& ( n4 = sK1_A ) )
& ~ ( ( n2 = sK2_SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n3 = sK1_A )
& ( n3 = sK2_SY41 ) )
& ~ ( ( n3 = sK1_A )
& ( n4 = sK2_SY41 ) )
& ~ ( ( n3 = sK1_A )
& ( n5 = sK2_SY41 ) )
& ~ ( ( n3 = sK2_SY41 )
& ( n4 = sK1_A ) )
& ~ ( ( n3 = sK2_SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n4 = sK1_A )
& ( n4 = sK2_SY41 ) )
& ~ ( ( n4 = sK1_A )
& ( n5 = sK2_SY41 ) )
& ~ ( ( n4 = sK2_SY41 )
& ( n5 = sK1_A ) )
& ~ ( ( n5 = sK1_A )
& ( n5 = sK2_SY41 ) )
& ( n2 = sK1_A )
& ( n2 = sK2_SY41 )
& ( n3 = sK2_SY41 ) )
=> ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[140]) ).
thf(142,plain,
( ( leq @ n0 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(143,plain,
( ( leq @ n0 @ sK2_SY41 )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(144,plain,
( ( leq @ sK1_A @ n5 )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(145,plain,
( ( leq @ sK2_SY41 @ n5 )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(146,plain,
( ( ~ ( ( n0 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(147,plain,
( ( ~ ( ( n0 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(148,plain,
( ( ~ ( ( n0 = sK2_SY41 )
& ( n3 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(149,plain,
( ( ~ ( ( n0 = sK2_SY41 )
& ( n4 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(150,plain,
( ( ~ ( ( n0 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(151,plain,
( ( ~ ( ( n1 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(152,plain,
( ( ~ ( ( n1 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(153,plain,
( ( ~ ( ( n1 = sK2_SY41 )
& ( n3 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(154,plain,
( ( ~ ( ( n1 = sK2_SY41 )
& ( n4 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(155,plain,
( ( ~ ( ( n1 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(156,plain,
( ( ~ ( ( n2 = sK1_A )
& ( n3 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(157,plain,
( ( ~ ( ( n2 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(158,plain,
( ( ~ ( ( n2 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(159,plain,
( ( ~ ( ( n2 = sK2_SY41 )
& ( n3 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(160,plain,
( ( ~ ( ( n2 = sK2_SY41 )
& ( n4 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(161,plain,
( ( ~ ( ( n2 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(162,plain,
( ( ~ ( ( n3 = sK1_A )
& ( n3 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(163,plain,
( ( ~ ( ( n3 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(164,plain,
( ( ~ ( ( n3 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(165,plain,
( ( ~ ( ( n3 = sK2_SY41 )
& ( n4 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(166,plain,
( ( ~ ( ( n3 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(167,plain,
( ( ~ ( ( n4 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(168,plain,
( ( ~ ( ( n4 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(169,plain,
( ( ~ ( ( n4 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(170,plain,
( ( ~ ( ( n5 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(171,plain,
( ( n2 = sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(172,plain,
( ( n2 = sK2_SY41 )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(173,plain,
( ( n3 = sK2_SY41 )
= $true ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(174,plain,
( ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 )
= $false ),
inference(standard_cnf,[status(thm)],[141]) ).
thf(175,plain,
( ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
!= n0 )
= $true ),
inference(polarity_switch,[status(thm)],[174]) ).
thf(176,plain,
( ( ! [X: $i] : ( leq @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(177,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(178,plain,
( ( ! [X: $i,Y: $i] :
( ( geq @ X @ Y )
<=> ( leq @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(179,plain,
( ( ! [X: $i,Y: $i] :
( ( gt @ Y @ X )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(180,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( X != Y ) )
=> ( gt @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(181,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
=> ( leq @ X @ ( succ @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(182,plain,
( ( ! [X: $i,C: $i] :
( ( leq @ n0 @ X )
=> ( leq @ ( uniform_int_rnd @ C @ X ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(183,plain,
( ( ! [X: $i,C: $i] :
( ( leq @ n0 @ X )
=> ( leq @ n0 @ ( uniform_int_rnd @ C @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(184,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ ( succ @ X ) @ ( succ @ Y ) )
<=> ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(185,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ ( minus @ X @ Y ) @ X )
=> ( leq @ n0 @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(186,plain,
( ( ! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(187,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)],[128]) ).
thf(188,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)],[127]) ).
thf(189,plain,
( ( gt @ n5 @ n4 )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(190,plain,
( ( gt @ n400 @ n4 )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(191,plain,
( ( gt @ n400 @ n5 )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(192,plain,
( ( gt @ n4 @ n0 )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(193,plain,
( ( gt @ n5 @ n0 )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(194,plain,
( ( gt @ n400 @ n0 )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(195,plain,
( ( gt @ n1 @ n0 )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(196,plain,
( ( gt @ n2 @ n0 )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(197,plain,
( ( gt @ n3 @ n0 )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(198,plain,
( ( gt @ n4 @ n1 )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(199,plain,
( ( gt @ n5 @ n1 )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(200,plain,
( ( gt @ n400 @ n1 )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(201,plain,
( ( gt @ n2 @ n1 )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(202,plain,
( ( gt @ n3 @ n1 )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(203,plain,
( ( gt @ n4 @ n2 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(204,plain,
( ( gt @ n5 @ n2 )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(205,plain,
( ( gt @ n400 @ n2 )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(206,plain,
( ( gt @ n3 @ n2 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(207,plain,
( ( gt @ n4 @ n3 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(208,plain,
( ( gt @ n5 @ n3 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(209,plain,
( ( gt @ n400 @ n3 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(210,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n4 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 )
| ( X = n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(211,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)],[104]) ).
thf(212,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n0 ) )
=> ( X = n0 ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(213,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n1 ) )
=> ( ( X = n0 )
| ( X = n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(214,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n2 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(215,plain,
( ( ! [X: $i] :
( ( ( leq @ n0 @ X )
& ( leq @ X @ n3 ) )
=> ( ( X = n0 )
| ( X = n1 )
| ( X = n2 )
| ( X = n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(216,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(217,plain,
( ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(218,plain,
( ( ( succ @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(219,plain,
( ( ( succ @ ( succ @ n0 ) )
= n2 )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(220,plain,
( ( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(221,plain,
( ( n3 = sK2_SY41 )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(222,plain,
( ( n2 = sK2_SY41 )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(223,plain,
( ( n2 = sK1_A )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(224,plain,
( ( ~ ( ( n5 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(225,plain,
( ( ~ ( ( n4 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(226,plain,
( ( ~ ( ( n4 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(227,plain,
( ( ~ ( ( n4 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(228,plain,
( ( ~ ( ( n3 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(229,plain,
( ( ~ ( ( n3 = sK2_SY41 )
& ( n4 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(230,plain,
( ( ~ ( ( n3 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(231,plain,
( ( ~ ( ( n3 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(232,plain,
( ( ~ ( ( n3 = sK1_A )
& ( n3 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(233,plain,
( ( ~ ( ( n2 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(234,plain,
( ( ~ ( ( n2 = sK2_SY41 )
& ( n4 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(235,plain,
( ( ~ ( ( n2 = sK2_SY41 )
& ( n3 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(236,plain,
( ( ~ ( ( n2 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(237,plain,
( ( ~ ( ( n2 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(238,plain,
( ( ~ ( ( n2 = sK1_A )
& ( n3 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(239,plain,
( ( ~ ( ( n1 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(240,plain,
( ( ~ ( ( n1 = sK2_SY41 )
& ( n4 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(241,plain,
( ( ~ ( ( n1 = sK2_SY41 )
& ( n3 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(242,plain,
( ( ~ ( ( n1 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(243,plain,
( ( ~ ( ( n1 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(244,plain,
( ( ~ ( ( n0 = sK2_SY41 )
& ( n5 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(245,plain,
( ( ~ ( ( n0 = sK2_SY41 )
& ( n4 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(246,plain,
( ( ~ ( ( n0 = sK2_SY41 )
& ( n3 = sK1_A ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(247,plain,
( ( ~ ( ( n0 = sK1_A )
& ( n5 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(248,plain,
( ( ~ ( ( n0 = sK1_A )
& ( n4 = sK2_SY41 ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(249,plain,
( ( leq @ sK2_SY41 @ n5 )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(250,plain,
( ( leq @ sK1_A @ n5 )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(251,plain,
( ( leq @ n0 @ sK2_SY41 )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(252,plain,
( ( leq @ n0 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(253,plain,
( ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
!= n0 )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(254,plain,
( ( ~ ~ ( ( n2 != sK1_A )
| ( n3 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(255,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( leq @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(256,plain,
( ( ~ ~ ( ( n3 != sK2_SY41 )
| ( n4 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(257,plain,
( ( ~ ~ ( ( n3 != sK1_A )
| ( n3 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(258,plain,
( ( ~ ~ ( ( n0 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(259,plain,
( ( ~ ~ ( ( n3 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(260,plain,
( ( ~ ~ ( ( n1 != sK2_SY41 )
| ( n4 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(261,plain,
( ( ~ ~ ( ( n2 != sK2_SY41 )
| ( n4 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(262,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( geq @ SX0 @ SX1 )
| ( leq @ SX1 @ SX0 ) )
| ~ ( ~ ( leq @ SX1 @ SX0 )
| ( geq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(263,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)],[210]) ).
thf(264,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n2 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(265,plain,
( ( ~ ~ ( ( n0 != sK2_SY41 )
| ( n4 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(266,plain,
( ( ~ ~ ( ( n2 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(267,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ ( minus @ SX0 @ SX1 ) @ SX0 )
| ( leq @ n0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(268,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( gt @ SX1 @ SX0 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(269,plain,
( ( ~ ~ ( ( n5 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(270,plain,
( ( ~ ~ ( ( n2 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(271,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( leq @ ( succ @ SX0 ) @ ( succ @ SX1 ) )
| ( leq @ SX0 @ SX1 ) )
| ~ ( ~ ( leq @ SX0 @ SX1 )
| ( leq @ ( succ @ SX0 ) @ ( succ @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(272,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n3 ) )
| ( SX0 = n0 )
| ( SX0 = n1 )
| ( SX0 = n2 )
| ( SX0 = n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(273,plain,
( ( ~ ~ ( ( n1 != sK2_SY41 )
| ( n3 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(274,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ n0 @ SX0 )
| ( leq @ n0 @ ( uniform_int_rnd @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(275,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n0 ) )
| ( SX0 = n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(276,plain,
( ( ~ ~ ( ( n1 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(277,plain,
( ( ~ ~ ( ( n0 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(278,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)],[187]) ).
thf(279,plain,
( ( ~ ~ ( ( n4 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(280,plain,
( ( ~ ~ ( ( n3 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(281,plain,
( ( ~ ~ ( ( n4 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(282,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)],[211]) ).
thf(283,plain,
( ( ~ ~ ( ( n0 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(284,plain,
( ( ~ ~ ( ( n4 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(285,plain,
( ( ~ ~ ( ( n2 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(286,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ SX0 @ ( succ @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(287,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX0 )
| ~ ( leq @ SX0 @ n1 ) )
| ( SX0 = n0 )
| ( SX0 = n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(288,plain,
( ( ~ ~ ( ( n3 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(289,plain,
( ( ~ ~ ( ( n1 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(290,plain,
( ( ~ ~ ( ( n0 != sK2_SY41 )
| ( n3 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(291,plain,
( ( ~ ~ ( ( n2 != sK2_SY41 )
| ( n3 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(292,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) )
| ( gt @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(293,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)],[188]) ).
thf(294,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ n0 @ SX0 )
| ( leq @ ( uniform_int_rnd @ SX1 @ SX0 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(295,plain,
( ( ~ ~ ( ( n1 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(296,plain,
! [SV1: $i] :
( ( leq @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(297,plain,
! [SV2: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ( a_select2 @ ( tptp_update2 @ SV2 @ SY42 @ SY43 ) @ SY42 )
= SY43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(298,plain,
( ( ( times @ ( divide @ n1 @ n400 ) @ ( a_select2 @ sigma @ n2 ) )
= n0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(299,plain,
( ( ~ ( ( n2 != sK1_A )
| ( n3 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(300,plain,
! [SV3: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( leq @ SV3 @ SY44 )
| ~ ( leq @ SY44 @ SY45 ) )
| ( leq @ SV3 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(301,plain,
( ( ~ ( ( n3 != sK2_SY41 )
| ( n4 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(302,plain,
( ( ~ ( ( n3 != sK1_A )
| ( n3 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(303,plain,
( ( ~ ( ( n0 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(304,plain,
( ( ~ ( ( n3 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(305,plain,
( ( ~ ( ( n1 != sK2_SY41 )
| ( n4 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(306,plain,
( ( ~ ( ( n2 != sK2_SY41 )
| ( n4 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(307,plain,
! [SV4: $i] :
( ( ! [SY46: $i] :
~ ( ~ ( ~ ( geq @ SV4 @ SY46 )
| ( leq @ SY46 @ SV4 ) )
| ~ ( ~ ( leq @ SY46 @ SV4 )
| ( geq @ SV4 @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(308,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n4 ) )
| ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(309,plain,
! [SV6: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n2 ) )
| ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(310,plain,
( ( ~ ( ( n0 != sK2_SY41 )
| ( n4 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(311,plain,
( ( ~ ( ( n2 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(312,plain,
! [SV7: $i] :
( ( ! [SY47: $i] :
( ~ ( leq @ ( minus @ SV7 @ SY47 ) @ SV7 )
| ( leq @ n0 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(313,plain,
! [SV8: $i] :
( ( ! [SY48: $i] :
( ~ ( gt @ SY48 @ SV8 )
| ( leq @ SV8 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(314,plain,
( ( ~ ( ( n5 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(315,plain,
( ( ~ ( ( n2 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(316,plain,
! [SV9: $i] :
( ( ! [SY49: $i] :
~ ( ~ ( ~ ( leq @ ( succ @ SV9 ) @ ( succ @ SY49 ) )
| ( leq @ SV9 @ SY49 ) )
| ~ ( ~ ( leq @ SV9 @ SY49 )
| ( leq @ ( succ @ SV9 ) @ ( succ @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(317,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) )
| ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(318,plain,
( ( ~ ( ( n1 != sK2_SY41 )
| ( n3 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(319,plain,
! [SV11: $i] :
( ( ! [SY50: $i] :
( ~ ( leq @ n0 @ SV11 )
| ( leq @ n0 @ ( uniform_int_rnd @ SY50 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(320,plain,
! [SV12: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV12 )
| ~ ( leq @ SV12 @ n0 ) )
| ( SV12 = n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(321,plain,
( ( ~ ( ( n1 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(322,plain,
( ( ~ ( ( n0 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(323,plain,
! [SV13: $i] :
( ( ! [SY51: $i,SY52: $i,SY53: $i,SY54: $i] :
( ~ ~ ( ~ ( ( SV13 != SY51 ) )
| ( ( a_select2 @ SY52 @ SY51 )
!= SY53 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY52 @ SV13 @ SY54 ) @ SY51 )
= SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(324,plain,
( ( ~ ( ( n4 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(325,plain,
( ( ~ ( ( n3 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(326,plain,
( ( ~ ( ( n4 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(327,plain,
! [SV14: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV14 )
| ~ ( leq @ SV14 @ n5 ) )
| ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 )
| ( SV14 = n4 )
| ( SV14 = n5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(328,plain,
( ( ~ ( ( n0 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(329,plain,
( ( ~ ( ( n4 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(330,plain,
( ( ~ ( ( n2 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(331,plain,
! [SV15: $i] :
( ( ! [SY55: $i] :
( ~ ( leq @ SV15 @ SY55 )
| ( leq @ SV15 @ ( succ @ SY55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(332,plain,
! [SV16: $i] :
( ( ~ ~ ( ~ ( leq @ n0 @ SV16 )
| ~ ( leq @ SV16 @ n1 ) )
| ( SV16 = n0 )
| ( SV16 = n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(333,plain,
( ( ~ ( ( n3 != sK1_A )
| ( n4 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(334,plain,
( ( ~ ( ( n1 != sK1_A )
| ( n5 != sK2_SY41 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(335,plain,
( ( ~ ( ( n0 != sK2_SY41 )
| ( n3 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(336,plain,
( ( ~ ( ( n2 != sK2_SY41 )
| ( n3 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(337,plain,
! [SV17: $i] :
( ( ! [SY56: $i] :
( ~ ~ ( ~ ( leq @ SV17 @ SY56 )
| ~ ( ( SV17 != SY56 ) ) )
| ( gt @ SY56 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(338,plain,
! [SV18: $i] :
( ( ! [SY57: $i,SY58: $i,SY59: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SX4 )
| ~ ( leq @ SX4 @ SY57 ) )
| ( ( a_select2 @ SY58 @ SX4 )
= SY59 ) )
| ~ ( leq @ n0 @ SV18 ) )
| ~ ( leq @ SV18 @ SY57 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY58 @ SY57 @ SY59 ) @ SV18 )
= SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(339,plain,
! [SV19: $i] :
( ( ! [SY61: $i] :
( ~ ( leq @ n0 @ SV19 )
| ( leq @ ( uniform_int_rnd @ SY61 @ SV19 ) @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(340,plain,
( ( ~ ( ( n1 != sK2_SY41 )
| ( n5 != sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(341,plain,
! [SV20: $i,SV2: $i] :
( ( ! [SY62: $i] :
( ( a_select2 @ ( tptp_update2 @ SV2 @ SV20 @ SY62 ) @ SV20 )
= SY62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(342,plain,
( ( ( n2 != sK1_A )
| ( n3 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(343,plain,
! [SV21: $i,SV3: $i] :
( ( ! [SY63: $i] :
( ~ ~ ( ~ ( leq @ SV3 @ SV21 )
| ~ ( leq @ SV21 @ SY63 ) )
| ( leq @ SV3 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(344,plain,
( ( ( n3 != sK2_SY41 )
| ( n4 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(345,plain,
( ( ( n3 != sK1_A )
| ( n3 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(346,plain,
( ( ( n0 != sK1_A )
| ( n4 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(347,plain,
( ( ( n3 != sK1_A )
| ( n5 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(348,plain,
( ( ( n1 != sK2_SY41 )
| ( n4 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(349,plain,
( ( ( n2 != sK2_SY41 )
| ( n4 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(350,plain,
! [SV22: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( geq @ SV4 @ SV22 )
| ( leq @ SV22 @ SV4 ) )
| ~ ( ~ ( leq @ SV22 @ SV4 )
| ( geq @ SV4 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(351,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n4 ) ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(352,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n2 ) ) )
= $true )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(353,plain,
( ( ( n0 != sK2_SY41 )
| ( n4 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(354,plain,
( ( ( n2 != sK1_A )
| ( n5 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(355,plain,
! [SV23: $i,SV7: $i] :
( ( ~ ( leq @ ( minus @ SV7 @ SV23 ) @ SV7 )
| ( leq @ n0 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(356,plain,
! [SV8: $i,SV24: $i] :
( ( ~ ( gt @ SV24 @ SV8 )
| ( leq @ SV8 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(357,plain,
( ( ( n5 != sK1_A )
| ( n5 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(358,plain,
( ( ( n2 != sK2_SY41 )
| ( n5 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(359,plain,
! [SV25: $i,SV9: $i] :
( ( ~ ( ~ ( ~ ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) )
| ( leq @ SV9 @ SV25 ) )
| ~ ( ~ ( leq @ SV9 @ SV25 )
| ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(360,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) ) )
= $true )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(361,plain,
( ( ( n1 != sK2_SY41 )
| ( n3 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(362,plain,
! [SV26: $i,SV11: $i] :
( ( ~ ( leq @ n0 @ SV11 )
| ( leq @ n0 @ ( uniform_int_rnd @ SV26 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(363,plain,
! [SV12: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV12 )
| ~ ( leq @ SV12 @ n0 ) ) )
= $true )
| ( ( SV12 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(364,plain,
( ( ( n1 != sK1_A )
| ( n4 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(365,plain,
( ( ( n0 != sK2_SY41 )
| ( n5 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(366,plain,
! [SV27: $i,SV13: $i] :
( ( ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ~ ( ~ ( ( SV13 != SV27 ) )
| ( ( a_select2 @ SY64 @ SV27 )
!= SY65 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY64 @ SV13 @ SY66 ) @ SV27 )
= SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(367,plain,
( ( ( n4 != sK1_A )
| ( n5 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(368,plain,
( ( ( n3 != sK2_SY41 )
| ( n5 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(369,plain,
( ( ( n4 != sK1_A )
| ( n4 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(370,plain,
! [SV14: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV14 )
| ~ ( leq @ SV14 @ n5 ) ) )
= $true )
| ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 )
| ( SV14 = n4 )
| ( SV14 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(371,plain,
( ( ( n0 != sK1_A )
| ( n5 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(372,plain,
( ( ( n4 != sK2_SY41 )
| ( n5 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(373,plain,
( ( ( n2 != sK1_A )
| ( n4 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(374,plain,
! [SV28: $i,SV15: $i] :
( ( ~ ( leq @ SV15 @ SV28 )
| ( leq @ SV15 @ ( succ @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(375,plain,
! [SV16: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ SV16 )
| ~ ( leq @ SV16 @ n1 ) ) )
= $true )
| ( ( ( SV16 = n0 )
| ( SV16 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(376,plain,
( ( ( n3 != sK1_A )
| ( n4 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(377,plain,
( ( ( n1 != sK1_A )
| ( n5 != sK2_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(378,plain,
( ( ( n0 != sK2_SY41 )
| ( n3 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(379,plain,
( ( ( n2 != sK2_SY41 )
| ( n3 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(380,plain,
! [SV29: $i,SV17: $i] :
( ( ~ ~ ( ~ ( leq @ SV17 @ SV29 )
| ~ ( ( SV17 != SV29 ) ) )
| ( gt @ SV29 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(381,plain,
! [SV18: $i,SV30: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY69: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY69 )
| ~ ( leq @ SY69 @ SV30 ) )
| ( ( a_select2 @ SY67 @ SY69 )
= SY68 ) )
| ~ ( leq @ n0 @ SV18 ) )
| ~ ( leq @ SV18 @ SV30 ) )
| ( ( a_select2 @ ( tptp_update2 @ SY67 @ SV30 @ SY68 ) @ SV18 )
= SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(382,plain,
! [SV31: $i,SV19: $i] :
( ( ~ ( leq @ n0 @ SV19 )
| ( leq @ ( uniform_int_rnd @ SV31 @ SV19 ) @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(383,plain,
( ( ( n1 != sK2_SY41 )
| ( n5 != sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(384,plain,
! [SV32: $i,SV20: $i,SV2: $i] :
( ( ( a_select2 @ ( tptp_update2 @ SV2 @ SV20 @ SV32 ) @ SV20 )
= SV32 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(385,plain,
( ( ( n2 != sK1_A )
= $true )
| ( ( n3 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(386,plain,
! [SV33: $i,SV21: $i,SV3: $i] :
( ( ~ ~ ( ~ ( leq @ SV3 @ SV21 )
| ~ ( leq @ SV21 @ SV33 ) )
| ( leq @ SV3 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(387,plain,
( ( ( n3 != sK2_SY41 )
= $true )
| ( ( n4 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(388,plain,
( ( ( n3 != sK1_A )
= $true )
| ( ( n3 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(389,plain,
( ( ( n0 != sK1_A )
= $true )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(390,plain,
( ( ( n3 != sK1_A )
= $true )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(391,plain,
( ( ( n1 != sK2_SY41 )
= $true )
| ( ( n4 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(392,plain,
( ( ( n2 != sK2_SY41 )
= $true )
| ( ( n4 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(393,plain,
! [SV22: $i,SV4: $i] :
( ( ~ ( ~ ( geq @ SV4 @ SV22 )
| ( leq @ SV22 @ SV4 ) )
| ~ ( ~ ( leq @ SV22 @ SV4 )
| ( geq @ SV4 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(394,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n4 ) ) )
= $false )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(395,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n2 ) ) )
= $false )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(396,plain,
( ( ( n0 != sK2_SY41 )
= $true )
| ( ( n4 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(397,plain,
( ( ( n2 != sK1_A )
= $true )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(398,plain,
! [SV23: $i,SV7: $i] :
( ( ( ~ ( leq @ ( minus @ SV7 @ SV23 ) @ SV7 ) )
= $true )
| ( ( leq @ n0 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(399,plain,
! [SV8: $i,SV24: $i] :
( ( ( ~ ( gt @ SV24 @ SV8 ) )
= $true )
| ( ( leq @ SV8 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(400,plain,
( ( ( n5 != sK1_A )
= $true )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(401,plain,
( ( ( n2 != sK2_SY41 )
= $true )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(402,plain,
! [SV25: $i,SV9: $i] :
( ( ~ ( ~ ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) )
| ( leq @ SV9 @ SV25 ) )
| ~ ( ~ ( leq @ SV9 @ SV25 )
| ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(403,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) ) )
= $false )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(404,plain,
( ( ( n1 != sK2_SY41 )
= $true )
| ( ( n3 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(405,plain,
! [SV26: $i,SV11: $i] :
( ( ( ~ ( leq @ n0 @ SV11 ) )
= $true )
| ( ( leq @ n0 @ ( uniform_int_rnd @ SV26 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(406,plain,
! [SV12: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV12 )
| ~ ( leq @ SV12 @ n0 ) ) )
= $false )
| ( ( SV12 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(407,plain,
( ( ( n1 != sK1_A )
= $true )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(408,plain,
( ( ( n0 != sK2_SY41 )
= $true )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(409,plain,
! [SV34: $i,SV27: $i,SV13: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ~ ~ ( ~ ( ( SV13 != SV27 ) )
| ( ( a_select2 @ SV34 @ SV27 )
!= SY70 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SY71 ) @ SV27 )
= SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(410,plain,
( ( ( n4 != sK1_A )
= $true )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(411,plain,
( ( ( n3 != sK2_SY41 )
= $true )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(412,plain,
( ( ( n4 != sK1_A )
= $true )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(413,plain,
! [SV14: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV14 )
| ~ ( leq @ SV14 @ n5 ) ) )
= $false )
| ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 )
| ( SV14 = n4 )
| ( SV14 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(414,plain,
( ( ( n0 != sK1_A )
= $true )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(415,plain,
( ( ( n4 != sK2_SY41 )
= $true )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(416,plain,
( ( ( n2 != sK1_A )
= $true )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(417,plain,
! [SV28: $i,SV15: $i] :
( ( ( ~ ( leq @ SV15 @ SV28 ) )
= $true )
| ( ( leq @ SV15 @ ( succ @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(418,plain,
! [SV16: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ SV16 )
| ~ ( leq @ SV16 @ n1 ) ) )
= $false )
| ( ( ( SV16 = n0 )
| ( SV16 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(419,plain,
( ( ( n3 != sK1_A )
= $true )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(420,plain,
( ( ( n1 != sK1_A )
= $true )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(421,plain,
( ( ( n0 != sK2_SY41 )
= $true )
| ( ( n3 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(422,plain,
( ( ( n2 != sK2_SY41 )
= $true )
| ( ( n3 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(423,plain,
! [SV29: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV17 @ SV29 )
| ~ ( ( SV17 != SV29 ) ) ) )
= $true )
| ( ( gt @ SV29 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(424,plain,
! [SV18: $i,SV35: $i,SV30: $i] :
( ( ! [SY72: $i] :
( ~ ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY73 )
| ~ ( leq @ SY73 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY73 )
= SY72 ) )
| ~ ( leq @ n0 @ SV18 ) )
| ~ ( leq @ SV18 @ SV30 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SY72 ) @ SV18 )
= SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(425,plain,
! [SV31: $i,SV19: $i] :
( ( ( ~ ( leq @ n0 @ SV19 ) )
= $true )
| ( ( leq @ ( uniform_int_rnd @ SV31 @ SV19 ) @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(426,plain,
( ( ( n1 != sK2_SY41 )
= $true )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(427,plain,
( ( ( n2 = sK1_A )
= $false )
| ( ( n3 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(428,plain,
! [SV33: $i,SV21: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV3 @ SV21 )
| ~ ( leq @ SV21 @ SV33 ) ) )
= $true )
| ( ( leq @ SV3 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(429,plain,
( ( ( n3 = sK2_SY41 )
= $false )
| ( ( n4 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(430,plain,
( ( ( n3 = sK1_A )
= $false )
| ( ( n3 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(431,plain,
( ( ( n0 = sK1_A )
= $false )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(432,plain,
( ( ( n3 = sK1_A )
= $false )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(433,plain,
( ( ( n1 = sK2_SY41 )
= $false )
| ( ( n4 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(434,plain,
( ( ( n2 = sK2_SY41 )
= $false )
| ( ( n4 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(435,plain,
! [SV22: $i,SV4: $i] :
( ( ~ ( ~ ( geq @ SV4 @ SV22 )
| ( leq @ SV22 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(436,plain,
! [SV4: $i,SV22: $i] :
( ( ~ ( ~ ( leq @ SV22 @ SV4 )
| ( geq @ SV4 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(437,plain,
! [SV5: $i] :
( ( ( ~ ( leq @ n0 @ SV5 )
| ~ ( leq @ SV5 @ n4 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(438,plain,
! [SV6: $i] :
( ( ( ~ ( leq @ n0 @ SV6 )
| ~ ( leq @ SV6 @ n2 ) )
= $true )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(439,plain,
( ( ( n0 = sK2_SY41 )
= $false )
| ( ( n4 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(440,plain,
( ( ( n2 = sK1_A )
= $false )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(441,plain,
! [SV23: $i,SV7: $i] :
( ( ( leq @ ( minus @ SV7 @ SV23 ) @ SV7 )
= $false )
| ( ( leq @ n0 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(442,plain,
! [SV8: $i,SV24: $i] :
( ( ( gt @ SV24 @ SV8 )
= $false )
| ( ( leq @ SV8 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(443,plain,
( ( ( n5 = sK1_A )
= $false )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(444,plain,
( ( ( n2 = sK2_SY41 )
= $false )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(445,plain,
! [SV25: $i,SV9: $i] :
( ( ~ ( ~ ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) )
| ( leq @ SV9 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(446,plain,
! [SV25: $i,SV9: $i] :
( ( ~ ( ~ ( leq @ SV9 @ SV25 )
| ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(447,plain,
! [SV10: $i] :
( ( ( ~ ( leq @ n0 @ SV10 )
| ~ ( leq @ SV10 @ n3 ) )
= $true )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(448,plain,
( ( ( n1 = sK2_SY41 )
= $false )
| ( ( n3 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(449,plain,
! [SV26: $i,SV11: $i] :
( ( ( leq @ n0 @ SV11 )
= $false )
| ( ( leq @ n0 @ ( uniform_int_rnd @ SV26 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(450,plain,
! [SV12: $i] :
( ( ( ~ ( leq @ n0 @ SV12 )
| ~ ( leq @ SV12 @ n0 ) )
= $true )
| ( ( SV12 = n0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(451,plain,
( ( ( n1 = sK1_A )
= $false )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(452,plain,
( ( ( n0 = sK2_SY41 )
= $false )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(453,plain,
! [SV36: $i,SV34: $i,SV27: $i,SV13: $i] :
( ( ! [SY74: $i] :
( ~ ~ ( ~ ( ( SV13 != SV27 ) )
| ( ( a_select2 @ SV34 @ SV27 )
!= SV36 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SY74 ) @ SV27 )
= SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(454,plain,
( ( ( n4 = sK1_A )
= $false )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(455,plain,
( ( ( n3 = sK2_SY41 )
= $false )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(456,plain,
( ( ( n4 = sK1_A )
= $false )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(457,plain,
! [SV14: $i] :
( ( ( ~ ( leq @ n0 @ SV14 )
| ~ ( leq @ SV14 @ n5 ) )
= $true )
| ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 )
| ( SV14 = n4 )
| ( SV14 = n5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(458,plain,
( ( ( n0 = sK1_A )
= $false )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(459,plain,
( ( ( n4 = sK2_SY41 )
= $false )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(460,plain,
( ( ( n2 = sK1_A )
= $false )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(461,plain,
! [SV28: $i,SV15: $i] :
( ( ( leq @ SV15 @ SV28 )
= $false )
| ( ( leq @ SV15 @ ( succ @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(462,plain,
! [SV16: $i] :
( ( ( ~ ( leq @ n0 @ SV16 )
| ~ ( leq @ SV16 @ n1 ) )
= $true )
| ( ( ( SV16 = n0 )
| ( SV16 = n1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(463,plain,
( ( ( n3 = sK1_A )
= $false )
| ( ( n4 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(464,plain,
( ( ( n1 = sK1_A )
= $false )
| ( ( n5 != sK2_SY41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(465,plain,
( ( ( n0 = sK2_SY41 )
= $false )
| ( ( n3 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(466,plain,
( ( ( n2 = sK2_SY41 )
= $false )
| ( ( n3 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(467,plain,
! [SV29: $i,SV17: $i] :
( ( ( ~ ( ~ ( leq @ SV17 @ SV29 )
| ~ ( ( SV17 != SV29 ) ) ) )
= $false )
| ( ( gt @ SV29 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(468,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) )
| ~ ( leq @ n0 @ SV18 ) )
| ~ ( leq @ SV18 @ SV30 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(469,plain,
! [SV31: $i,SV19: $i] :
( ( ( leq @ n0 @ SV19 )
= $false )
| ( ( leq @ ( uniform_int_rnd @ SV31 @ SV19 ) @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(470,plain,
( ( ( n1 = sK2_SY41 )
= $false )
| ( ( n5 != sK1_A )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(471,plain,
( ( ( n3 = sK2_SY41 )
= $false )
| ( ( n2 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(472,plain,
! [SV33: $i,SV21: $i,SV3: $i] :
( ( ( ~ ( ~ ( leq @ SV3 @ SV21 )
| ~ ( leq @ SV21 @ SV33 ) ) )
= $false )
| ( ( leq @ SV3 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(473,plain,
( ( ( n4 = sK1_A )
= $false )
| ( ( n3 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(474,plain,
( ( ( n3 = sK2_SY41 )
= $false )
| ( ( n3 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(475,plain,
( ( ( n4 = sK2_SY41 )
= $false )
| ( ( n0 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(476,plain,
( ( ( n5 = sK2_SY41 )
= $false )
| ( ( n3 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(477,plain,
( ( ( n4 = sK1_A )
= $false )
| ( ( n1 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(478,plain,
( ( ( n4 = sK1_A )
= $false )
| ( ( n2 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(479,plain,
! [SV22: $i,SV4: $i] :
( ( ~ ( geq @ SV4 @ SV22 )
| ( leq @ SV22 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(480,plain,
! [SV4: $i,SV22: $i] :
( ( ~ ( leq @ SV22 @ SV4 )
| ( geq @ SV4 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(481,plain,
! [SV5: $i] :
( ( ( ~ ( leq @ n0 @ SV5 ) )
= $true )
| ( ( ~ ( leq @ SV5 @ n4 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(482,plain,
! [SV6: $i] :
( ( ( ~ ( leq @ n0 @ SV6 ) )
= $true )
| ( ( ~ ( leq @ SV6 @ n2 ) )
= $true )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(483,plain,
( ( ( n4 = sK1_A )
= $false )
| ( ( n0 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(484,plain,
( ( ( n5 = sK2_SY41 )
= $false )
| ( ( n2 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(485,plain,
( ( ( n5 = sK2_SY41 )
= $false )
| ( ( n5 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(486,plain,
( ( ( n5 = sK1_A )
= $false )
| ( ( n2 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(487,plain,
! [SV25: $i,SV9: $i] :
( ( ~ ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) )
| ( leq @ SV9 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(488,plain,
! [SV25: $i,SV9: $i] :
( ( ~ ( leq @ SV9 @ SV25 )
| ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(489,plain,
! [SV10: $i] :
( ( ( ~ ( leq @ n0 @ SV10 ) )
= $true )
| ( ( ~ ( leq @ SV10 @ n3 ) )
= $true )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(490,plain,
( ( ( n3 = sK1_A )
= $false )
| ( ( n1 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(491,plain,
! [SV12: $i] :
( ( ( ~ ( leq @ n0 @ SV12 ) )
= $true )
| ( ( ~ ( leq @ SV12 @ n0 ) )
= $true )
| ( ( SV12 = n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(492,plain,
( ( ( n4 = sK2_SY41 )
= $false )
| ( ( n1 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(493,plain,
( ( ( n5 = sK1_A )
= $false )
| ( ( n0 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(494,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV27: $i,SV13: $i] :
( ( ~ ~ ( ~ ( ( SV13 != SV27 ) )
| ( ( a_select2 @ SV34 @ SV27 )
!= SV36 ) )
| ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SV38 ) @ SV27 )
= SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(495,plain,
( ( ( n5 = sK2_SY41 )
= $false )
| ( ( n4 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(496,plain,
( ( ( n5 = sK1_A )
= $false )
| ( ( n3 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(497,plain,
( ( ( n4 = sK2_SY41 )
= $false )
| ( ( n4 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(498,plain,
! [SV14: $i] :
( ( ( ~ ( leq @ n0 @ SV14 ) )
= $true )
| ( ( ~ ( leq @ SV14 @ n5 ) )
= $true )
| ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 )
| ( SV14 = n4 )
| ( SV14 = n5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(499,plain,
( ( ( n5 = sK2_SY41 )
= $false )
| ( ( n0 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(500,plain,
( ( ( n5 = sK1_A )
= $false )
| ( ( n4 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(501,plain,
( ( ( n4 = sK2_SY41 )
= $false )
| ( ( n2 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(502,plain,
! [SV16: $i] :
( ( ( ~ ( leq @ n0 @ SV16 ) )
= $true )
| ( ( ~ ( leq @ SV16 @ n1 ) )
= $true )
| ( ( ( SV16 = n0 )
| ( SV16 = n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(503,plain,
( ( ( n4 = sK2_SY41 )
= $false )
| ( ( n3 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(504,plain,
( ( ( n5 = sK2_SY41 )
= $false )
| ( ( n1 = sK1_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(505,plain,
( ( ( n3 = sK1_A )
= $false )
| ( ( n0 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(506,plain,
( ( ( n3 = sK1_A )
= $false )
| ( ( n2 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(507,plain,
! [SV29: $i,SV17: $i] :
( ( ( ~ ( leq @ SV17 @ SV29 )
| ~ ( ( SV17 != SV29 ) ) )
= $true )
| ( ( gt @ SV29 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(508,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) )
| ~ ( leq @ n0 @ SV18 ) )
| ~ ( leq @ SV18 @ SV30 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(509,plain,
( ( ( n5 = sK1_A )
= $false )
| ( ( n1 = sK2_SY41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(510,plain,
! [SV33: $i,SV21: $i,SV3: $i] :
( ( ( ~ ( leq @ SV3 @ SV21 )
| ~ ( leq @ SV21 @ SV33 ) )
= $true )
| ( ( leq @ SV3 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(511,plain,
! [SV22: $i,SV4: $i] :
( ( ( ~ ( geq @ SV4 @ SV22 ) )
= $true )
| ( ( leq @ SV22 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(512,plain,
! [SV4: $i,SV22: $i] :
( ( ( ~ ( leq @ SV22 @ SV4 ) )
= $true )
| ( ( geq @ SV4 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(513,plain,
! [SV5: $i] :
( ( ( leq @ n0 @ SV5 )
= $false )
| ( ( ~ ( leq @ SV5 @ n4 ) )
= $true )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(514,plain,
! [SV6: $i] :
( ( ( leq @ n0 @ SV6 )
= $false )
| ( ( ~ ( leq @ SV6 @ n2 ) )
= $true )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(515,plain,
! [SV25: $i,SV9: $i] :
( ( ( ~ ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) ) )
= $true )
| ( ( leq @ SV9 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(516,plain,
! [SV25: $i,SV9: $i] :
( ( ( ~ ( leq @ SV9 @ SV25 ) )
= $true )
| ( ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(517,plain,
! [SV10: $i] :
( ( ( leq @ n0 @ SV10 )
= $false )
| ( ( ~ ( leq @ SV10 @ n3 ) )
= $true )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(518,plain,
! [SV12: $i] :
( ( ( leq @ n0 @ SV12 )
= $false )
| ( ( ~ ( leq @ SV12 @ n0 ) )
= $true )
| ( ( SV12 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(519,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV27: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( ( SV13 != SV27 ) )
| ( ( a_select2 @ SV34 @ SV27 )
!= SV36 ) ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SV38 ) @ SV27 )
= SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(520,plain,
! [SV14: $i] :
( ( ( leq @ n0 @ SV14 )
= $false )
| ( ( ~ ( leq @ SV14 @ n5 ) )
= $true )
| ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 )
| ( SV14 = n4 )
| ( SV14 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(521,plain,
! [SV16: $i] :
( ( ( leq @ n0 @ SV16 )
= $false )
| ( ( ~ ( leq @ SV16 @ n1 ) )
= $true )
| ( ( ( SV16 = n0 )
| ( SV16 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(522,plain,
! [SV29: $i,SV17: $i] :
( ( ( ~ ( leq @ SV17 @ SV29 ) )
= $true )
| ( ( ~ ( ( SV17 != SV29 ) ) )
= $true )
| ( ( gt @ SV29 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(523,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) )
| ~ ( leq @ n0 @ SV18 ) )
| ~ ( leq @ SV18 @ SV30 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(524,plain,
! [SV33: $i,SV21: $i,SV3: $i] :
( ( ( ~ ( leq @ SV3 @ SV21 ) )
= $true )
| ( ( ~ ( leq @ SV21 @ SV33 ) )
= $true )
| ( ( leq @ SV3 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(525,plain,
! [SV22: $i,SV4: $i] :
( ( ( geq @ SV4 @ SV22 )
= $false )
| ( ( leq @ SV22 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(526,plain,
! [SV4: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV4 )
= $false )
| ( ( geq @ SV4 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(527,plain,
! [SV5: $i] :
( ( ( leq @ SV5 @ n4 )
= $false )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 )
| ( SV5 = n4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(528,plain,
! [SV6: $i] :
( ( ( leq @ SV6 @ n2 )
= $false )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( ( SV6 = n0 )
| ( SV6 = n1 )
| ( SV6 = n2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(529,plain,
! [SV25: $i,SV9: $i] :
( ( ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) )
= $false )
| ( ( leq @ SV9 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(530,plain,
! [SV25: $i,SV9: $i] :
( ( ( leq @ SV9 @ SV25 )
= $false )
| ( ( leq @ ( succ @ SV9 ) @ ( succ @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(531,plain,
! [SV10: $i] :
( ( ( leq @ SV10 @ n3 )
= $false )
| ( ( leq @ n0 @ SV10 )
= $false )
| ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 )
| ( SV10 = n3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(532,plain,
! [SV12: $i] :
( ( ( leq @ SV12 @ n0 )
= $false )
| ( ( leq @ n0 @ SV12 )
= $false )
| ( ( SV12 = n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(533,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV27: $i,SV13: $i] :
( ( ( ~ ( ~ ( ( SV13 != SV27 ) )
| ( ( a_select2 @ SV34 @ SV27 )
!= SV36 ) ) )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SV38 ) @ SV27 )
= SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(534,plain,
! [SV14: $i] :
( ( ( leq @ SV14 @ n5 )
= $false )
| ( ( leq @ n0 @ SV14 )
= $false )
| ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 )
| ( SV14 = n4 )
| ( SV14 = n5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(535,plain,
! [SV16: $i] :
( ( ( leq @ SV16 @ n1 )
= $false )
| ( ( leq @ n0 @ SV16 )
= $false )
| ( ( ( SV16 = n0 )
| ( SV16 = n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(536,plain,
! [SV29: $i,SV17: $i] :
( ( ( leq @ SV17 @ SV29 )
= $false )
| ( ( ~ ( ( SV17 != SV29 ) ) )
= $true )
| ( ( gt @ SV29 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(537,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) )
| ~ ( leq @ n0 @ SV18 ) )
| ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(538,plain,
! [SV33: $i,SV21: $i,SV3: $i] :
( ( ( leq @ SV3 @ SV21 )
= $false )
| ( ( ~ ( leq @ SV21 @ SV33 ) )
= $true )
| ( ( leq @ SV3 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(539,plain,
! [SV5: $i] :
( ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 )
| ( SV5 = n3 ) )
= $true )
| ( ( SV5 = n4 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(540,plain,
! [SV6: $i] :
( ( ( ( SV6 = n0 )
| ( SV6 = n1 ) )
= $true )
| ( ( SV6 = n2 )
= $true )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( leq @ SV6 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(541,plain,
! [SV10: $i] :
( ( ( ( SV10 = n0 )
| ( SV10 = n1 )
| ( SV10 = n2 ) )
= $true )
| ( ( SV10 = n3 )
= $true )
| ( ( leq @ n0 @ SV10 )
= $false )
| ( ( leq @ SV10 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(542,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV27: $i,SV13: $i] :
( ( ( ~ ( ( SV13 != SV27 ) )
| ( ( a_select2 @ SV34 @ SV27 )
!= SV36 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SV38 ) @ SV27 )
= SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(543,plain,
! [SV14: $i] :
( ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 )
| ( SV14 = n4 ) )
= $true )
| ( ( SV14 = n5 )
= $true )
| ( ( leq @ n0 @ SV14 )
= $false )
| ( ( leq @ SV14 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(544,plain,
! [SV16: $i] :
( ( ( SV16 = n0 )
= $true )
| ( ( SV16 = n1 )
= $true )
| ( ( leq @ n0 @ SV16 )
= $false )
| ( ( leq @ SV16 @ n1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(545,plain,
! [SV29: $i,SV17: $i] :
( ( ( SV17 != SV29 )
= $false )
| ( ( leq @ SV17 @ SV29 )
= $false )
| ( ( gt @ SV29 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(546,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) )
| ~ ( leq @ n0 @ SV18 ) ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(547,plain,
! [SV3: $i,SV33: $i,SV21: $i] :
( ( ( leq @ SV21 @ SV33 )
= $false )
| ( ( leq @ SV3 @ SV21 )
= $false )
| ( ( leq @ SV3 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(548,plain,
! [SV5: $i] :
( ( ( ( SV5 = n0 )
| ( SV5 = n1 )
| ( SV5 = n2 ) )
= $true )
| ( ( SV5 = n3 )
= $true )
| ( ( SV5 = n4 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(549,plain,
! [SV6: $i] :
( ( ( SV6 = n0 )
= $true )
| ( ( SV6 = n1 )
= $true )
| ( ( SV6 = n2 )
= $true )
| ( ( leq @ n0 @ SV6 )
= $false )
| ( ( leq @ SV6 @ n2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(550,plain,
! [SV10: $i] :
( ( ( ( SV10 = n0 )
| ( SV10 = n1 ) )
= $true )
| ( ( SV10 = n2 )
= $true )
| ( ( SV10 = n3 )
= $true )
| ( ( leq @ n0 @ SV10 )
= $false )
| ( ( leq @ SV10 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(551,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV27: $i,SV13: $i] :
( ( ( ~ ( ( SV13 != SV27 ) ) )
= $true )
| ( ( ( a_select2 @ SV34 @ SV27 )
!= SV36 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SV38 ) @ SV27 )
= SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(552,plain,
! [SV14: $i] :
( ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 )
| ( SV14 = n3 ) )
= $true )
| ( ( SV14 = n4 )
= $true )
| ( ( SV14 = n5 )
= $true )
| ( ( leq @ n0 @ SV14 )
= $false )
| ( ( leq @ SV14 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(553,plain,
! [SV29: $i,SV17: $i] :
( ( ( SV17 = SV29 )
= $true )
| ( ( leq @ SV17 @ SV29 )
= $false )
| ( ( gt @ SV29 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(554,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ( ~ ( ~ ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) )
| ~ ( leq @ n0 @ SV18 ) ) )
= $false )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(555,plain,
! [SV5: $i] :
( ( ( ( SV5 = n0 )
| ( SV5 = n1 ) )
= $true )
| ( ( SV5 = n2 )
= $true )
| ( ( SV5 = n3 )
= $true )
| ( ( SV5 = n4 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(556,plain,
! [SV10: $i] :
( ( ( SV10 = n0 )
= $true )
| ( ( SV10 = n1 )
= $true )
| ( ( SV10 = n2 )
= $true )
| ( ( SV10 = n3 )
= $true )
| ( ( leq @ n0 @ SV10 )
= $false )
| ( ( leq @ SV10 @ n3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(557,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV27: $i,SV13: $i] :
( ( ( SV13 != SV27 )
= $false )
| ( ( ( a_select2 @ SV34 @ SV27 )
!= SV36 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SV38 ) @ SV27 )
= SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(558,plain,
! [SV14: $i] :
( ( ( ( SV14 = n0 )
| ( SV14 = n1 )
| ( SV14 = n2 ) )
= $true )
| ( ( SV14 = n3 )
= $true )
| ( ( SV14 = n4 )
= $true )
| ( ( SV14 = n5 )
= $true )
| ( ( leq @ n0 @ SV14 )
= $false )
| ( ( leq @ SV14 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(559,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ( ~ ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) )
| ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(560,plain,
! [SV5: $i] :
( ( ( SV5 = n0 )
= $true )
| ( ( SV5 = n1 )
= $true )
| ( ( SV5 = n2 )
= $true )
| ( ( SV5 = n3 )
= $true )
| ( ( SV5 = n4 )
= $true )
| ( ( leq @ n0 @ SV5 )
= $false )
| ( ( leq @ SV5 @ n4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(561,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV27: $i,SV13: $i] :
( ( ( SV13 = SV27 )
= $true )
| ( ( ( a_select2 @ SV34 @ SV27 )
!= SV36 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SV38 ) @ SV27 )
= SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(562,plain,
! [SV14: $i] :
( ( ( ( SV14 = n0 )
| ( SV14 = n1 ) )
= $true )
| ( ( SV14 = n2 )
= $true )
| ( ( SV14 = n3 )
= $true )
| ( ( SV14 = n4 )
= $true )
| ( ( SV14 = n5 )
= $true )
| ( ( leq @ n0 @ SV14 )
= $false )
| ( ( leq @ SV14 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(563,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ( ~ ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(564,plain,
! [SV38: $i,SV13: $i,SV36: $i,SV27: $i,SV34: $i] :
( ( ( ( a_select2 @ SV34 @ SV27 )
= SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV34 @ SV13 @ SV38 ) @ SV27 )
= SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(565,plain,
! [SV14: $i] :
( ( ( SV14 = n0 )
= $true )
| ( ( SV14 = n1 )
= $true )
| ( ( SV14 = n2 )
= $true )
| ( ( SV14 = n3 )
= $true )
| ( ( SV14 = n4 )
= $true )
| ( ( SV14 = n5 )
= $true )
| ( ( leq @ n0 @ SV14 )
= $false )
| ( ( leq @ SV14 @ n5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(566,plain,
! [SV18: $i,SV37: $i,SV35: $i,SV30: $i] :
( ( ( ! [SY75: $i] :
( ~ ~ ( ~ ( leq @ n0 @ SY75 )
| ~ ( leq @ SY75 @ SV30 ) )
| ( ( a_select2 @ SV35 @ SY75 )
= SV37 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(567,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
| ~ ( leq @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) @ SV30 ) )
| ( ( a_select2 @ SV35 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
= SV37 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[566]) ).
thf(568,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( leq @ n0 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
| ~ ( leq @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) @ SV30 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(569,plain,
! [SV30: $i,SV37: $i,SV18: $i,SV35: $i] :
( ( ( ( a_select2 @ SV35 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
= SV37 )
= $false )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(570,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( ~ ( ~ ( leq @ n0 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
| ~ ( leq @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) @ SV30 ) ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(571,plain,
! [SV30: $i,SV37: $i,SV35: $i,SV18: $i] :
( ( ( leq @ n0 @ SV18 )
= $false )
| ( ( ( a_select2 @ SV35 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
= SV37 )
= $false )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(572,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( ~ ( leq @ n0 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
| ~ ( leq @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) @ SV30 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(573,plain,
! [SV37: $i,SV35: $i,SV30: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV30 )
= $false )
| ( ( ( a_select2 @ SV35 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
= SV37 )
= $false )
| ( ( leq @ n0 @ SV18 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(574,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( ~ ( leq @ n0 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(575,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( ~ ( leq @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) @ SV30 ) )
= $false )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(576,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( leq @ n0 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
= $true )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(577,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( leq @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) @ SV30 )
= $true )
| ( ( ~ ( leq @ n0 @ SV18 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(578,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( leq @ n0 @ SV18 )
= $false )
| ( ( leq @ n0 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(579,plain,
! [SV30: $i,SV35: $i,SV37: $i,SV18: $i] :
( ( ( leq @ n0 @ SV18 )
= $false )
| ( ( leq @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) @ SV30 )
= $true )
| ( ( ~ ( leq @ SV18 @ SV30 ) )
= $true )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(580,plain,
! [SV35: $i,SV37: $i,SV30: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV30 )
= $false )
| ( ( leq @ n0 @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) )
= $true )
| ( ( leq @ n0 @ SV18 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(581,plain,
! [SV35: $i,SV37: $i,SV30: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV30 )
= $false )
| ( ( leq @ ( sK3_SY75 @ SV18 @ SV37 @ SV35 @ SV30 ) @ SV30 )
= $true )
| ( ( leq @ n0 @ SV18 )
= $false )
| ( ( ( a_select2 @ ( tptp_update2 @ SV35 @ SV30 @ SV37 ) @ SV18 )
= SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(582,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[189,581,580,573,565,564,560,556,553,549,547,544,532,530,529,526,525,509,506,505,504,503,501,500,499,497,496,495,493,492,490,486,485,484,483,478,477,476,475,474,473,471,469,461,449,442,441,384,298,296,252,251,250,249,223,222,221,220,219,218,217,216,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190]) ).
thf(583,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[582]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV217+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 16:25:44 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/0.66
% 2.61/0.66 No.of.Axioms: 45
% 2.61/0.66
% 2.61/0.66 Length.of.Defs: 0
% 2.61/0.66
% 2.61/0.66 Contains.Choice.Funs: false
% 2.61/0.66 ..............
% 2.61/0.66
% 2.61/0.66 ********************************
% 2.61/0.66 * All subproblems solved! *
% 2.61/0.66 ********************************
% 2.61/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:77,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:582,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.61/0.66
% 2.61/0.66 %**** Beginning of derivation protocol ****
% 2.61/0.66 % SZS output start CNFRefutation
% See solution above
% 2.61/0.67
% 2.61/0.67 %**** End of derivation protocol ****
% 2.61/0.67 %**** no. of clauses in derivation: 537 ****
% 2.61/0.67 %**** clause counter: 582 ****
% 2.61/0.67
% 2.61/0.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:77,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:582,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------