%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV454+1 : TPTP v9.3.1. Released v4.0.0.
% 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 : n011.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 10:57:48 AM UTC 2026
% Result : Theorem 6.30s 1.38s
% Output : CNFRefutation 6.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 49
% Syntax : Number of formulae : 637 ( 439 unt; 0 typ; 0 def)
% Number of atoms : 3759 (1838 equ; 0 cnn)
% Maximal formula atoms : 49 ( 5 avg)
% Number of connectives : 7965 (1820 ~; 899 |; 227 &;4801 @)
% ( 24 <=>; 194 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 46 usr; 25 con; 0-2 aty)
% Number of variables : 1428 ( 0 ^;1425 !; 3 ?;1428 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_alive,type,
alive: $i ).
thf(tp_cons,type,
cons: $i > $i > $i ).
thf(tp_down,type,
down: $i ).
thf(tp_elec_1,type,
elec_1: $i ).
thf(tp_elec_2,type,
elec_2: $i ).
thf(tp_elem,type,
elem: $i > $i > $o ).
thf(tp_elid,type,
elid: $i ).
thf(tp_head,type,
head: $i > $i ).
thf(tp_host,type,
host: $i > $i ).
thf(tp_index,type,
index: $i > $i > $i ).
thf(tp_init,type,
init: $i > $i ).
thf(tp_last,type,
last: $i > $i ).
thf(tp_ldr,type,
ldr: $i ).
thf(tp_leq,type,
leq: $i > $i > $o ).
thf(tp_m_Ack,type,
m_Ack: $i > $i > $i ).
thf(tp_m_Down,type,
m_Down: $i > $i ).
thf(tp_m_Halt,type,
m_Halt: $i > $i ).
thf(tp_m_Ldr,type,
m_Ldr: $i > $i ).
thf(tp_m_NormQ,type,
m_NormQ: $i > $i ).
thf(tp_m_NotNorm,type,
m_NotNorm: $i > $i ).
thf(tp_nbr_proc,type,
nbr_proc: $i ).
thf(tp_nil,type,
nil: $i ).
thf(tp_norm,type,
norm: $i ).
thf(tp_ordered,type,
ordered: $i > $o ).
thf(tp_pidElem,type,
pidElem: $i > $o ).
thf(tp_pidMsg,type,
pidMsg: $i > $i ).
thf(tp_pids,type,
pids: $i ).
thf(tp_q_nil,type,
q_nil: $i ).
thf(tp_queue,type,
queue: $i > $i ).
thf(tp_s,type,
s: $i > $i ).
thf(tp_sK1_V,type,
sK1_V: $i ).
thf(tp_sK2_SY114,type,
sK2_SY114: $i ).
thf(tp_sK3_SY115,type,
sK3_SY115: $i ).
thf(tp_sK4_SY167,type,
sK4_SY167: $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK6_SY281,type,
sK6_SY281: $i ).
thf(tp_sK7_SY297,type,
sK7_SY297: $i ).
thf(tp_sK8_SY253,type,
sK8_SY253: $i > $i ).
thf(tp_sK9_SY299,type,
sK9_SY299: $i ).
thf(tp_setEmpty,type,
setEmpty: $i ).
thf(tp_setIn,type,
setIn: $i > $i > $o ).
thf(tp_snoc,type,
snoc: $i > $i > $i ).
thf(tp_status,type,
status: $i ).
thf(tp_tail,type,
tail: $i > $i ).
thf(tp_wait,type,
wait: $i ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [X: $i] :
~ ( setIn @ X @ setEmpty ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ ( s @ Y ) )
<=> ( ( X
= ( s @ Y ) )
| ( leq @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
thf(4,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
<=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
| ( leq @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
thf(7,axiom,
! [X: $i] : ( leq @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
thf(8,axiom,
! [X: $i] :
~ ( leq @ ( s @ X ) @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
thf(9,axiom,
! [Q: $i,X: $i,Y: $i] :
( ( ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
& ( ( host @ X )
= ( host @ Y ) )
& ( elem @ ( m_Down @ Y ) @ Q ) )
=> ( leq @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
thf(16,axiom,
! [X: $i] :
( ( pidMsg @ ( m_Down @ X ) )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(17,axiom,
! [X: $i] :
( ( pidMsg @ ( m_Halt @ X ) )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(18,axiom,
! [X: $i] :
( ( pidElem @ X )
<=> ? [Y: $i] :
( ( X
= ( m_Halt @ Y ) )
| ( X
= ( m_Down @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(19,axiom,
! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( snoc @ Q @ Y ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
thf(20,axiom,
! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( cons @ Y @ Q ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(21,axiom,
! [X: $i] :
~ ( elem @ X @ q_nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(22,axiom,
! [X: $i,Y: $i,Q: $i] :
( ( snoc @ ( cons @ X @ Q ) @ Y )
= ( cons @ X @ ( snoc @ Q @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(25,axiom,
! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(30,axiom,
! [X: $i,Q: $i] :
( ( tail @ ( cons @ X @ Q ) )
= Q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(31,axiom,
! [X: $i,Q: $i] :
( ( head @ ( cons @ X @ Q ) )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(32,axiom,
~ ( setIn @ nil @ alive ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(33,axiom,
! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
!= ( host @ Pid2 ) )
=> ( Pid != Pid2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(34,axiom,
! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( Y1 != Y2 )
=> ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
thf(35,axiom,
! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( X1 != X2 )
=> ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(36,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Down @ X )
!= ( m_Down @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(40,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(44,axiom,
! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(45,axiom,
! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(46,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(47,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(48,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(49,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(50,axiom,
! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(51,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(52,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(53,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(54,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(55,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(56,axiom,
norm != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(57,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
thf(58,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
thf(59,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
thf(60,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
thf(61,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).
thf(62,axiom,
! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
thf(63,axiom,
leq @ ( s @ zero ) @ nbr_proc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
thf(64,axiom,
! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
thf(65,axiom,
! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
= ( host @ Q ) )
=> ( ( host @ P )
!= ( host @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
thf(66,axiom,
! [Pid: $i,Pid2: $i] :
( ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
=> ( ( setIn @ Pid @ pids )
& ( setIn @ Pid2 @ pids ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
thf(67,conjecture,
! [V: $i,W: $i,X: $i,Y: $i] :
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ X ) )
= ( cons @ ( m_Down @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
= ( host @ Y ) )
& ( ( index @ status @ ( host @ X ) )
= norm ) )
| ( ( ( index @ status @ ( host @ X ) )
= wait )
& ( ( host @ Y )
= ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
=> ( ( ! [Z: $i] :
( ( ~ ( leq @ ( host @ X ) @ Z )
& ( leq @ ( s @ zero ) @ Z ) )
=> ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
| ( Z
= ( host @ Y ) ) ) )
& ( ( index @ status @ ( host @ X ) )
= elec_1 ) )
=> ( ~ ( leq @ nbr_proc @ ( host @ X ) )
=> ! [Z: $i] :
( ( ( s @ ( host @ X ) )
!= ( host @ Z ) )
=> ( ( ( host @ X )
= ( host @ Z ) )
=> ! [W0: $i,X0: $i] :
( ( ( s @ ( host @ X ) )
!= ( host @ X0 ) )
=> ( ( ( host @ X )
!= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ Z ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ Y0 ) @ V )
& ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(68,negated_conjecture,
( ( ! [V: $i,W: $i,X: $i,Y: $i] :
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ X ) )
= ( cons @ ( m_Down @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
= ( host @ Y ) )
& ( ( index @ status @ ( host @ X ) )
= norm ) )
| ( ( ( index @ status @ ( host @ X ) )
= wait )
& ( ( host @ Y )
= ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
=> ( ( ! [Z: $i] :
( ( ~ ( leq @ ( host @ X ) @ Z )
& ( leq @ ( s @ zero ) @ Z ) )
=> ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
| ( Z
= ( host @ Y ) ) ) )
& ( ( index @ status @ ( host @ X ) )
= elec_1 ) )
=> ( ~ ( leq @ nbr_proc @ ( host @ X ) )
=> ! [Z: $i] :
( ( ( s @ ( host @ X ) )
!= ( host @ Z ) )
=> ( ( ( host @ X )
= ( host @ Z ) )
=> ! [W0: $i,X0: $i] :
( ( ( s @ ( host @ X ) )
!= ( host @ X0 ) )
=> ( ( ( host @ X )
!= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ Z ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ Y0 ) @ V )
& ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[67]) ).
thf(69,plain,
( ( ! [V: $i,W: $i,X: $i,Y: $i] :
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ X ) )
= ( cons @ ( m_Down @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
= ( host @ Y ) )
& ( ( index @ status @ ( host @ X ) )
= norm ) )
| ( ( ( index @ status @ ( host @ X ) )
= wait )
& ( ( host @ Y )
= ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
=> ( ( ! [Z: $i] :
( ( ~ ( leq @ ( host @ X ) @ Z )
& ( leq @ ( s @ zero ) @ Z ) )
=> ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
| ( Z
= ( host @ Y ) ) ) )
& ( ( index @ status @ ( host @ X ) )
= elec_1 ) )
=> ( ~ ( leq @ nbr_proc @ ( host @ X ) )
=> ! [Z: $i] :
( ( ( s @ ( host @ X ) )
!= ( host @ Z ) )
=> ( ( ( host @ X )
= ( host @ Z ) )
=> ! [W0: $i,X0: $i] :
( ( ( s @ ( host @ X ) )
!= ( host @ X0 ) )
=> ( ( ( host @ X )
!= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ Z ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ Y0 ) @ V )
& ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[68]) ).
thf(70,plain,
( ( ! [X: $i] :
~ ( setIn @ X @ setEmpty ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(71,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ ( s @ Y ) )
<=> ( ( X
= ( s @ Y ) )
| ( leq @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(72,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(73,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(74,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
<=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(75,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
| ( leq @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(76,plain,
( ( ! [X: $i] : ( leq @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(77,plain,
( ( ! [X: $i] :
~ ( leq @ ( s @ X ) @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(78,plain,
( ( ! [Q: $i,X: $i,Y: $i] :
( ( ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
& ( ( host @ X )
= ( host @ Y ) )
& ( elem @ ( m_Down @ Y ) @ Q ) )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(79,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Down @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(80,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Halt @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(81,plain,
( ( ! [X: $i] :
( ( pidElem @ X )
<=> ? [Y: $i] :
( ( X
= ( m_Halt @ Y ) )
| ( X
= ( m_Down @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(82,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( snoc @ Q @ Y ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(83,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( cons @ Y @ Q ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(84,plain,
( ( ! [X: $i] :
~ ( elem @ X @ q_nil ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(85,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( snoc @ ( cons @ X @ Q ) @ Y )
= ( cons @ X @ ( snoc @ Q @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(86,plain,
( ( ! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(87,plain,
( ( ! [X: $i,Q: $i] :
( ( tail @ ( cons @ X @ Q ) )
= Q ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(88,plain,
( ( ! [X: $i,Q: $i] :
( ( head @ ( cons @ X @ Q ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(89,plain,
( ( ~ ( setIn @ nil @ alive ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(90,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
!= ( host @ Pid2 ) )
=> ( Pid != Pid2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(91,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( Y1 != Y2 )
=> ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(92,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( X1 != X2 )
=> ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(93,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Down @ X )
!= ( m_Down @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(95,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(96,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(97,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(98,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(99,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(100,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(101,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(102,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(103,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(104,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(105,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(106,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(107,plain,
( ( norm != wait )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(108,plain,
( ( elec_2 != norm )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(109,plain,
( ( elec_2 != wait )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(110,plain,
( ( elec_1 != norm )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(111,plain,
( ( elec_1 != wait )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(112,plain,
( ( elec_1 != elec_2 )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(113,plain,
( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(114,plain,
( ( leq @ ( s @ zero ) @ nbr_proc )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(115,plain,
( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(116,plain,
( ( ! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
= ( host @ Q ) )
=> ( ( host @ P )
!= ( host @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(117,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
=> ( ( setIn @ Pid @ pids )
& ( setIn @ Pid2 @ pids ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(118,plain,
( ( ! [SY114: $i,SY115: $i,SY116: $i] :
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ SY115 ) )
= ( cons @ ( m_Down @ SY116 ) @ sK1_V ) ) )
=> ( ( setIn @ SY115 @ alive )
=> ( ~ ( leq @ ( host @ SY115 ) @ ( host @ SY116 ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ SY115 ) )
= ( host @ SY116 ) )
& ( ( index @ status @ ( host @ SY115 ) )
= norm ) )
| ( ( ( index @ status @ ( host @ SY115 ) )
= wait )
& ( ( host @ SY116 )
= ( host @ ( index @ elid @ ( host @ SY115 ) ) ) ) ) )
=> ( ( ! [Z: $i] :
( ( ~ ( leq @ ( host @ SY115 ) @ Z )
& ( leq @ ( s @ zero ) @ Z ) )
=> ( ( setIn @ Z @ ( index @ down @ ( host @ SY115 ) ) )
| ( Z
= ( host @ SY116 ) ) ) )
& ( ( index @ status @ ( host @ SY115 ) )
= elec_1 ) )
=> ( ~ ( leq @ nbr_proc @ ( host @ SY115 ) )
=> ! [SY137: $i] :
( ( ( s @ ( host @ SY115 ) )
!= ( host @ SY137 ) )
=> ( ( ( host @ SY115 )
= ( host @ SY137 ) )
=> ! [SY138: $i,SY139: $i] :
( ( ( s @ ( host @ SY115 ) )
!= ( host @ SY139 ) )
=> ( ( ( host @ SY115 )
!= ( host @ SY139 ) )
=> ! [SY140: $i] :
( ( ( ( host @ SY139 )
!= ( host @ SY137 ) )
& ( setIn @ SY137 @ alive )
& ( setIn @ SY139 @ alive )
& ( ( host @ SY138 )
= ( host @ SY137 ) )
& ( ( host @ SY140 )
= ( host @ SY139 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY140 ) @ sK1_V )
& ( elem @ ( m_Down @ SY138 ) @ ( queue @ ( host @ SY139 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(119,plain,
( ( ! [SY115: $i,SY116: $i] :
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ SY115 ) )
= ( cons @ ( m_Down @ SY116 ) @ sK1_V ) ) )
=> ( ( setIn @ SY115 @ alive )
=> ( ~ ( leq @ ( host @ SY115 ) @ ( host @ SY116 ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ SY115 ) )
= ( host @ SY116 ) )
& ( ( index @ status @ ( host @ SY115 ) )
= norm ) )
| ( ( ( index @ status @ ( host @ SY115 ) )
= wait )
& ( ( host @ SY116 )
= ( host @ ( index @ elid @ ( host @ SY115 ) ) ) ) ) )
=> ( ( ! [Z: $i] :
( ( ~ ( leq @ ( host @ SY115 ) @ Z )
& ( leq @ ( s @ zero ) @ Z ) )
=> ( ( setIn @ Z @ ( index @ down @ ( host @ SY115 ) ) )
| ( Z
= ( host @ SY116 ) ) ) )
& ( ( index @ status @ ( host @ SY115 ) )
= elec_1 ) )
=> ( ~ ( leq @ nbr_proc @ ( host @ SY115 ) )
=> ! [SY137: $i] :
( ( ( s @ ( host @ SY115 ) )
!= ( host @ SY137 ) )
=> ( ( ( host @ SY115 )
= ( host @ SY137 ) )
=> ! [SY138: $i,SY139: $i] :
( ( ( s @ ( host @ SY115 ) )
!= ( host @ SY139 ) )
=> ( ( ( host @ SY115 )
!= ( host @ SY139 ) )
=> ! [SY140: $i] :
( ( ( ( host @ SY139 )
!= ( host @ SY137 ) )
& ( setIn @ SY137 @ alive )
& ( setIn @ SY139 @ alive )
& ( ( host @ SY138 )
= ( host @ SY137 ) )
& ( ( host @ SY140 )
= ( host @ SY139 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY140 ) @ sK1_V )
& ( elem @ ( m_Down @ SY138 ) @ ( queue @ ( host @ SY139 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[118]) ).
thf(120,plain,
( ( ! [SY167: $i] :
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ sK3_SY115 ) )
= ( cons @ ( m_Down @ SY167 ) @ sK1_V ) ) )
=> ( ( setIn @ sK3_SY115 @ alive )
=> ( ~ ( leq @ ( host @ sK3_SY115 ) @ ( host @ SY167 ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
= ( host @ SY167 ) )
& ( ( index @ status @ ( host @ sK3_SY115 ) )
= norm ) )
| ( ( ( index @ status @ ( host @ sK3_SY115 ) )
= wait )
& ( ( host @ SY167 )
= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) ) ) )
=> ( ( ! [SY187: $i] :
( ( ~ ( leq @ ( host @ sK3_SY115 ) @ SY187 )
& ( leq @ ( s @ zero ) @ SY187 ) )
=> ( ( setIn @ SY187 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SY187
= ( host @ SY167 ) ) ) )
& ( ( index @ status @ ( host @ sK3_SY115 ) )
= elec_1 ) )
=> ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY115 ) )
=> ! [SY188: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY188 ) )
=> ( ( ( host @ sK3_SY115 )
= ( host @ SY188 ) )
=> ! [SY189: $i,SY190: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY190 ) )
=> ( ( ( host @ sK3_SY115 )
!= ( host @ SY190 ) )
=> ! [SY140: $i] :
( ( ( ( host @ SY190 )
!= ( host @ SY188 ) )
& ( setIn @ SY188 @ alive )
& ( setIn @ SY190 @ alive )
& ( ( host @ SY189 )
= ( host @ SY188 ) )
& ( ( host @ SY140 )
= ( host @ SY190 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY140 ) @ sK1_V )
& ( elem @ ( m_Down @ SY189 ) @ ( queue @ ( host @ SY190 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[119]) ).
thf(121,plain,
( ( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ sK3_SY115 ) )
= ( cons @ ( m_Down @ sK4_SY167 ) @ sK1_V ) ) )
=> ( ( setIn @ sK3_SY115 @ alive )
=> ( ~ ( leq @ ( host @ sK3_SY115 ) @ ( host @ sK4_SY167 ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
= ( host @ sK4_SY167 ) )
& ( ( index @ status @ ( host @ sK3_SY115 ) )
= norm ) )
| ( ( ( index @ status @ ( host @ sK3_SY115 ) )
= wait )
& ( ( host @ sK4_SY167 )
= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) ) ) )
=> ( ( ! [SY211: $i] :
( ( ~ ( leq @ ( host @ sK3_SY115 ) @ SY211 )
& ( leq @ ( s @ zero ) @ SY211 ) )
=> ( ( setIn @ SY211 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SY211
= ( host @ sK4_SY167 ) ) ) )
& ( ( index @ status @ ( host @ sK3_SY115 ) )
= elec_1 ) )
=> ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY115 ) )
=> ! [SY188: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY188 ) )
=> ( ( ( host @ sK3_SY115 )
= ( host @ SY188 ) )
=> ! [SY189: $i,SY190: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY190 ) )
=> ( ( ( host @ sK3_SY115 )
!= ( host @ SY190 ) )
=> ! [SY140: $i] :
( ( ( ( host @ SY190 )
!= ( host @ SY188 ) )
& ( setIn @ SY188 @ alive )
& ( setIn @ SY190 @ alive )
& ( ( host @ SY189 )
= ( host @ SY188 ) )
& ( ( host @ SY140 )
= ( host @ SY190 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY140 ) @ sK1_V )
& ( elem @ ( m_Down @ SY189 ) @ ( queue @ ( host @ SY190 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(122,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(123,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(124,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(125,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(126,plain,
( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(127,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(128,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(129,plain,
( ( ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(130,plain,
( ( ( queue @ ( host @ sK3_SY115 ) )
= ( cons @ ( m_Down @ sK4_SY167 ) @ sK1_V ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(131,plain,
( ( setIn @ sK3_SY115 @ alive )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(132,plain,
( ( ~ ( leq @ ( host @ sK3_SY115 ) @ ( host @ sK4_SY167 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(133,plain,
( ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
= ( host @ sK4_SY167 ) )
& ( ( index @ status @ ( host @ sK3_SY115 ) )
= norm ) )
| ( ( ( index @ status @ ( host @ sK3_SY115 ) )
= wait )
& ( ( host @ sK4_SY167 )
= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(134,plain,
( ( ! [SY211: $i] :
( ( ~ ( leq @ ( host @ sK3_SY115 ) @ SY211 )
& ( leq @ ( s @ zero ) @ SY211 ) )
=> ( ( setIn @ SY211 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SY211
= ( host @ sK4_SY167 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(135,plain,
( ( ( index @ status @ ( host @ sK3_SY115 ) )
= elec_1 )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(136,plain,
( ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY115 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(137,plain,
( ( ! [SY188: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY188 ) )
=> ( ( ( host @ sK3_SY115 )
= ( host @ SY188 ) )
=> ! [SY189: $i,SY190: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY190 ) )
=> ( ( ( host @ sK3_SY115 )
!= ( host @ SY190 ) )
=> ! [SY140: $i] :
( ( ( ( host @ SY190 )
!= ( host @ SY188 ) )
& ( setIn @ SY188 @ alive )
& ( setIn @ SY190 @ alive )
& ( ( host @ SY189 )
= ( host @ SY188 ) )
& ( ( host @ SY140 )
= ( host @ SY190 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY140 ) @ sK1_V )
& ( elem @ ( m_Down @ SY189 ) @ ( queue @ ( host @ SY190 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[121]) ).
thf(138,plain,
( ( ~ ! [SY188: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY188 ) )
=> ( ( ( host @ sK3_SY115 )
= ( host @ SY188 ) )
=> ! [SY189: $i,SY190: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY190 ) )
=> ( ( ( host @ sK3_SY115 )
!= ( host @ SY190 ) )
=> ! [SY140: $i] :
( ( ( ( host @ SY190 )
!= ( host @ SY188 ) )
& ( setIn @ SY188 @ alive )
& ( setIn @ SY190 @ alive )
& ( ( host @ SY189 )
= ( host @ SY188 ) )
& ( ( host @ SY140 )
= ( host @ SY190 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY140 ) @ sK1_V )
& ( elem @ ( m_Down @ SY189 ) @ ( queue @ ( host @ SY190 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[137]) ).
thf(139,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
=> ( ( setIn @ Pid @ pids )
& ( setIn @ Pid2 @ pids ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(140,plain,
( ( ! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
= ( host @ Q ) )
=> ( ( host @ P )
!= ( host @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(141,plain,
( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(142,plain,
( ( leq @ ( s @ zero ) @ nbr_proc )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(143,plain,
( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(144,plain,
( ( elec_1 != elec_2 )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(145,plain,
( ( elec_1 != wait )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(146,plain,
( ( elec_1 != norm )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(147,plain,
( ( elec_2 != wait )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(148,plain,
( ( elec_2 != norm )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(149,plain,
( ( norm != wait )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(150,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(151,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(152,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(153,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(154,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(155,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(156,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(157,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(158,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(159,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(160,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(161,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(162,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(163,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Down @ X )
!= ( m_Down @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(164,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( X1 != X2 )
=> ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(165,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( Y1 != Y2 )
=> ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(166,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
!= ( host @ Pid2 ) )
=> ( Pid != Pid2 ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(167,plain,
( ( ~ ( setIn @ nil @ alive ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(168,plain,
( ( ! [X: $i,Q: $i] :
( ( head @ ( cons @ X @ Q ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(169,plain,
( ( ! [X: $i,Q: $i] :
( ( tail @ ( cons @ X @ Q ) )
= Q ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(170,plain,
( ( ! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(171,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( snoc @ ( cons @ X @ Q ) @ Y )
= ( cons @ X @ ( snoc @ Q @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(172,plain,
( ( ! [X: $i] :
~ ( elem @ X @ q_nil ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(173,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( cons @ Y @ Q ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(174,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( snoc @ Q @ Y ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(175,plain,
( ( ! [X: $i] :
( ( pidElem @ X )
<=> ? [Y: $i] :
( ( X
= ( m_Halt @ Y ) )
| ( X
= ( m_Down @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(176,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Halt @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(177,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Down @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(178,plain,
( ( ! [Q: $i,X: $i,Y: $i] :
( ( ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
& ( ( host @ X )
= ( host @ Y ) )
& ( elem @ ( m_Down @ Y ) @ Q ) )
=> ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(179,plain,
( ( ! [X: $i] :
~ ( leq @ ( s @ X ) @ X ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(180,plain,
( ( ! [X: $i] : ( leq @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(181,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
| ( leq @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(182,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
<=> ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(183,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(184,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(185,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ ( s @ Y ) )
<=> ( ( X
= ( s @ Y ) )
| ( leq @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(186,plain,
( ( ! [X: $i] :
~ ( setIn @ X @ setEmpty ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(187,plain,
( ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY115 ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(188,plain,
( ( ( index @ status @ ( host @ sK3_SY115 ) )
= elec_1 )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(189,plain,
( ( ! [SY211: $i] :
( ( ~ ( leq @ ( host @ sK3_SY115 ) @ SY211 )
& ( leq @ ( s @ zero ) @ SY211 ) )
=> ( ( setIn @ SY211 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SY211
= ( host @ sK4_SY167 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(190,plain,
( ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
= ( host @ sK4_SY167 ) )
& ( ( index @ status @ ( host @ sK3_SY115 ) )
= norm ) )
| ( ( ( index @ status @ ( host @ sK3_SY115 ) )
= wait )
& ( ( host @ sK4_SY167 )
= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(191,plain,
( ( ~ ( leq @ ( host @ sK3_SY115 ) @ ( host @ sK4_SY167 ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(192,plain,
( ( setIn @ sK3_SY115 @ alive )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(193,plain,
( ( ( queue @ ( host @ sK3_SY115 ) )
= ( cons @ ( m_Down @ sK4_SY167 ) @ sK1_V ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(194,plain,
( ( ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(195,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(196,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(197,plain,
( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(198,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(199,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(200,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(201,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(202,plain,
( ( ~ ! [SY188: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY188 ) )
=> ( ( ( host @ sK3_SY115 )
= ( host @ SY188 ) )
=> ! [SY189: $i,SY190: $i] :
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY190 ) )
=> ( ( ( host @ sK3_SY115 )
!= ( host @ SY190 ) )
=> ! [SY140: $i] :
( ( ( ( host @ SY190 )
!= ( host @ SY188 ) )
& ( setIn @ SY188 @ alive )
& ( setIn @ SY190 @ alive )
& ( ( host @ SY189 )
= ( host @ SY188 ) )
& ( ( host @ SY140 )
= ( host @ SY190 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY140 ) @ sK1_V )
& ( elem @ ( m_Down @ SY189 ) @ ( queue @ ( host @ SY190 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(203,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Halt @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ~ ( leq @ ( host @ SX0 ) @ ( host @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(204,plain,
( ( norm != wait )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(205,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( m_Down @ SX0 )
!= ( m_Down @ SX1 ) ) )
| ~ ( ~ ( ( ( m_Down @ SX0 )
!= ( m_Down @ SX1 ) ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(206,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) )
| ( SX0 = SX1 )
| ( elem @ SX0 @ SX2 ) )
| ~ ( ~ ( ( SX0 = SX1 )
| ( elem @ SX0 @ SX2 ) )
| ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(207,plain,
( ( elec_2 != wait )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(208,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ~ ( ~ ( setIn @ SX0 @ pids )
| ~ ( setIn @ SX1 @ pids ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(209,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SX1 ) @ SX0 ) )
| ( ( host @ SX1 )
!= ( host @ SX2 ) ) )
| ~ ( elem @ ( m_Down @ SX2 ) @ SX0 ) )
| ( leq @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(210,plain,
( ( ! [SX0: $i,SX1: $i] :
( q_nil
!= ( cons @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(211,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Down @ SX0 )
!= ( m_NotNorm @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(212,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_Down @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(213,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_NormQ @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(214,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_NotNorm @ SX0 )
!= ( m_Halt @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(215,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SX0 @ alive )
| ~ ( leq @ SX1 @ SX0 ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) )
| ~ ( setIn @ SX1 @ alive ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(216,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ( SX2 != SX3 ) )
| ( ( m_Ack @ SX0 @ SX2 )
!= ( m_Ack @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(217,plain,
( ( elec_1 != norm )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(218,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SX0 ) ) )
| ( ( host @ sK3_SY115 )
!= ( host @ SX0 ) )
| ! [SX1: $i,SX2: $i] :
( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SX2 ) ) )
| ~ ( ( ( host @ sK3_SY115 )
!= ( host @ SX2 ) ) )
| ! [SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SX2 )
!= ( host @ SX0 ) ) )
| ~ ( setIn @ SX0 @ alive ) )
| ~ ( setIn @ SX2 @ alive ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) )
| ( ( host @ SX3 )
!= ( host @ SX2 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SX3 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(219,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Down @ SX0 )
!= ( m_Halt @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(220,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( elem @ ( m_Ack @ SX2 @ SX0 ) @ ( queue @ ( host @ SX1 ) ) )
| ~ ( leq @ ( host @ SX0 ) @ ( host @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(221,plain,
( ( ~ ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
!= ( host @ sK4_SY167 ) )
| ( ( index @ status @ ( host @ sK3_SY115 ) )
!= norm ) )
| ~ ( ( ( index @ status @ ( host @ sK3_SY115 ) )
!= wait )
| ( ( host @ sK4_SY167 )
!= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(222,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( setIn @ SX1 @ alive )
| ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(223,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ( SX0 != SX1 ) )
| ( ( m_Ack @ SX0 @ SX2 )
!= ( m_Ack @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(224,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( leq @ SX0 @ ( s @ SX1 ) )
| ( SX0
= ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) )
| ~ ( ~ ( ( SX0
= ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(225,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ~ ( setIn @ SX1 @ alive ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(226,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ( ( host @ SX0 )
!= ( host @ SX1 ) ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(227,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) )
| ( SX0 = SX1 )
| ( elem @ SX0 @ SX2 ) )
| ~ ( ~ ( ( SX0 = SX1 )
| ( elem @ SX0 @ SX2 ) )
| ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(228,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_Ldr @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(229,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( pidElem @ SX0 )
| ~ ! [SX1: $i] :
~ ( ( SX0
= ( m_Halt @ SX1 ) )
| ( SX0
= ( m_Down @ SX1 ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( ( SX0
= ( m_Halt @ SX1 ) )
| ( SX0
= ( m_Down @ SX1 ) ) )
| ( pidElem @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(230,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( m_Halt @ SX0 )
!= ( m_Halt @ SX1 ) ) )
| ~ ( ~ ( ( ( m_Halt @ SX0 )
!= ( m_Halt @ SX1 ) ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(231,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( leq @ SX0 @ SX1 )
| ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) )
| ~ ( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(232,plain,
( ( elec_2 != norm )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(233,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( leq @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(234,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SX2 )
!= ( host @ SX0 ) ) )
| ~ ( setIn @ SX0 @ alive ) )
| ~ ( setIn @ SX2 @ alive ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) )
| ( ( host @ SX3 )
!= ( host @ SX2 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SX3 ) @ ( queue @ ( host @ SX0 ) ) )
| ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(235,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Down @ SX0 )
!= ( m_Ldr @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(236,plain,
( ( elec_1 != elec_2 )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(237,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Ldr @ SX0 )
!= ( m_Halt @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(238,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_Halt @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(239,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(240,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Down @ SX0 )
!= ( m_NormQ @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(241,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( s @ ( host @ SX0 ) )
!= ( host @ SX1 ) )
| ( ( host @ SX0 )
!= ( host @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(242,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( ( SX1 != SX0 ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) )
| ~ ( setIn @ SX0 @ alive )
| ~ ( setIn @ SX1 @ alive ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(243,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_NormQ @ SX0 )
!= ( m_Halt @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(244,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_NotNorm @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(245,plain,
( ( elec_1 != wait )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(246,plain,
( ( ! [SX0: $i] :
( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY115 ) @ SX0 )
| ~ ( leq @ ( s @ zero ) @ SX0 ) )
| ( setIn @ SX0 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SX0
= ( host @ sK4_SY167 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(247,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(248,plain,
! [SV1: $i] :
( ( leq @ ( s @ zero ) @ ( host @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(249,plain,
! [SV2: $i] :
( ( leq @ ( host @ SV2 ) @ nbr_proc )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(250,plain,
( ( setIn @ nil @ alive )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(251,plain,
! [SV3: $i] :
( ( ! [SY216: $i] :
( ( head @ ( cons @ SV3 @ SY216 ) )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(252,plain,
! [SV4: $i] :
( ( ! [SY217: $i] :
( ( tail @ ( cons @ SV4 @ SY217 ) )
= SY217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(253,plain,
! [SV5: $i] :
( ( ! [SY218: $i,SY219: $i] :
( ( snoc @ ( cons @ SV5 @ SY219 ) @ SY218 )
= ( cons @ SV5 @ ( snoc @ SY219 @ SY218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(254,plain,
! [SV6: $i] :
( ( ~ ( elem @ SV6 @ q_nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(255,plain,
! [SV7: $i] :
( ( ( pidMsg @ ( m_Halt @ SV7 ) )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(256,plain,
! [SV8: $i] :
( ( ( pidMsg @ ( m_Down @ SV8 ) )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(257,plain,
! [SV9: $i] :
( ( ~ ( leq @ ( s @ SV9 ) @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(258,plain,
! [SV10: $i] :
( ( leq @ SV10 @ SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(259,plain,
! [SV11: $i] :
( ( ! [SY220: $i] :
( ( leq @ SV11 @ SY220 )
| ( leq @ SY220 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(260,plain,
! [SV12: $i] :
( ( ~ ( setIn @ SV12 @ setEmpty ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(261,plain,
( ( leq @ nbr_proc @ ( host @ sK3_SY115 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(262,plain,
( ( leq @ ( host @ sK3_SY115 ) @ ( host @ sK4_SY167 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(263,plain,
! [SV13: $i] :
( ( ! [SY221: $i] :
( ~ ( elem @ ( m_Halt @ SY221 ) @ ( queue @ ( host @ SV13 ) ) )
| ~ ( leq @ ( host @ SV13 ) @ ( host @ SY221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(264,plain,
( ( norm = wait )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(265,plain,
! [SV14: $i] :
( ( ! [SY222: $i] :
~ ( ~ ( ~ ( ( SV14 != SY222 ) )
| ( ( m_Down @ SV14 )
!= ( m_Down @ SY222 ) ) )
| ~ ( ~ ( ( ( m_Down @ SV14 )
!= ( m_Down @ SY222 ) ) )
| ( SV14 != SY222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(266,plain,
! [SV15: $i] :
( ( ! [SY223: $i,SY224: $i] :
~ ( ~ ( ~ ( elem @ SV15 @ ( cons @ SY223 @ SY224 ) )
| ( SV15 = SY223 )
| ( elem @ SV15 @ SY224 ) )
| ~ ( ~ ( ( SV15 = SY223 )
| ( elem @ SV15 @ SY224 ) )
| ( elem @ SV15 @ ( cons @ SY223 @ SY224 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(267,plain,
( ( elec_2 = wait )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(268,plain,
! [SV16: $i] :
( ( ! [SY225: $i] :
( ~ ( elem @ ( m_Ack @ SV16 @ SY225 ) @ ( queue @ ( host @ SV16 ) ) )
| ~ ( ~ ( setIn @ SV16 @ pids )
| ~ ( setIn @ SY225 @ pids ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(269,plain,
! [SV17: $i] :
( ( ! [SY226: $i,SY227: $i] :
( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SY226 ) @ SV17 ) )
| ( ( host @ SY226 )
!= ( host @ SY227 ) ) )
| ~ ( elem @ ( m_Down @ SY227 ) @ SV17 ) )
| ( leq @ SY226 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(270,plain,
! [SV18: $i] :
( ( ! [SY228: $i] :
( q_nil
!= ( cons @ SV18 @ SY228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(271,plain,
! [SV19: $i] :
( ( ! [SY229: $i] :
( ( m_Down @ SV19 )
!= ( m_NotNorm @ SY229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(272,plain,
! [SV20: $i] :
( ( ! [SY230: $i,SY231: $i] :
( ( m_Ack @ SV20 @ SY230 )
!= ( m_Down @ SY231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(273,plain,
! [SV21: $i] :
( ( ! [SY232: $i,SY233: $i] :
( ( m_Ack @ SV21 @ SY232 )
!= ( m_NormQ @ SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(274,plain,
! [SV22: $i] :
( ( ! [SY234: $i] :
( ( m_NotNorm @ SV22 )
!= ( m_Halt @ SY234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(275,plain,
! [SV23: $i] :
( ( ! [SY235: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV23 @ alive )
| ~ ( leq @ SY235 @ SV23 ) )
| ( ( host @ SY235 )
!= ( host @ SV23 ) ) )
| ~ ( setIn @ SY235 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(276,plain,
! [SV24: $i] :
( ( ! [SY236: $i,SY237: $i,SY238: $i] :
( ~ ( ( SY237 != SY238 ) )
| ( ( m_Ack @ SV24 @ SY237 )
!= ( m_Ack @ SY236 @ SY238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(277,plain,
( ( elec_1 = norm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(278,plain,
( ( ! [SX0: $i] :
( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SX0 ) ) )
| ( ( host @ sK3_SY115 )
!= ( host @ SX0 ) )
| ! [SX1: $i,SX2: $i] :
( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SX2 ) ) )
| ~ ( ( ( host @ sK3_SY115 )
!= ( host @ SX2 ) ) )
| ! [SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SX2 )
!= ( host @ SX0 ) ) )
| ~ ( setIn @ SX0 @ alive ) )
| ~ ( setIn @ SX2 @ alive ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) )
| ( ( host @ SX3 )
!= ( host @ SX2 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SX3 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX2 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(279,plain,
! [SV25: $i] :
( ( ! [SY239: $i] :
( ( m_Down @ SV25 )
!= ( m_Halt @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(280,plain,
! [SV26: $i] :
( ( ! [SY240: $i,SY241: $i] :
( ~ ( elem @ ( m_Ack @ SY241 @ SV26 ) @ ( queue @ ( host @ SY240 ) ) )
| ~ ( leq @ ( host @ SV26 ) @ ( host @ SY241 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(281,plain,
( ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
!= ( host @ sK4_SY167 ) )
| ( ( index @ status @ ( host @ sK3_SY115 ) )
!= norm ) )
| ~ ( ( ( index @ status @ ( host @ sK3_SY115 ) )
!= wait )
| ( ( host @ sK4_SY167 )
!= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(282,plain,
! [SV27: $i] :
( ( ! [SY242: $i] :
( ~ ( setIn @ SY242 @ alive )
| ~ ( elem @ ( m_Down @ SY242 ) @ ( queue @ ( host @ SV27 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(283,plain,
! [SV28: $i] :
( ( ! [SY243: $i,SY244: $i,SY245: $i] :
( ~ ( ( SV28 != SY243 ) )
| ( ( m_Ack @ SV28 @ SY244 )
!= ( m_Ack @ SY243 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(284,plain,
! [SV29: $i] :
( ( ! [SY246: $i] :
~ ( ~ ( ~ ( leq @ SV29 @ ( s @ SY246 ) )
| ( SV29
= ( s @ SY246 ) )
| ( leq @ SV29 @ SY246 ) )
| ~ ( ~ ( ( SV29
= ( s @ SY246 ) )
| ( leq @ SV29 @ SY246 ) )
| ( leq @ SV29 @ ( s @ SY246 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(285,plain,
! [SV30: $i] :
( ( ! [SY247: $i] :
( ~ ( elem @ ( m_Down @ SY247 ) @ ( queue @ ( host @ SV30 ) ) )
| ~ ( setIn @ SY247 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(286,plain,
! [SV31: $i] :
( ( ! [SY248: $i] :
( ~ ( ( ( host @ SV31 )
!= ( host @ SY248 ) ) )
| ( SV31 != SY248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(287,plain,
! [SV32: $i] :
( ( ! [SY249: $i,SY250: $i] :
~ ( ~ ( ~ ( elem @ SV32 @ ( snoc @ SY250 @ SY249 ) )
| ( SV32 = SY249 )
| ( elem @ SV32 @ SY250 ) )
| ~ ( ~ ( ( SV32 = SY249 )
| ( elem @ SV32 @ SY250 ) )
| ( elem @ SV32 @ ( snoc @ SY250 @ SY249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(288,plain,
! [SV33: $i] :
( ( ! [SY251: $i,SY252: $i] :
( ( m_Ack @ SV33 @ SY251 )
!= ( m_Ldr @ SY252 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(289,plain,
! [SV34: $i] :
( ( ~ ( ~ ( ~ ( pidElem @ SV34 )
| ~ ! [SY253: $i] :
~ ( ( SV34
= ( m_Halt @ SY253 ) )
| ( SV34
= ( m_Down @ SY253 ) ) ) )
| ~ ( ~ ~ ! [SY254: $i] :
~ ( ( SV34
= ( m_Halt @ SY254 ) )
| ( SV34
= ( m_Down @ SY254 ) ) )
| ( pidElem @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(290,plain,
! [SV35: $i] :
( ( ! [SY255: $i] :
~ ( ~ ( ~ ( ( SV35 != SY255 ) )
| ( ( m_Halt @ SV35 )
!= ( m_Halt @ SY255 ) ) )
| ~ ( ~ ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SY255 ) ) )
| ( SV35 != SY255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(291,plain,
! [SV36: $i] :
( ( ! [SY256: $i] :
~ ( ~ ( ~ ( leq @ SV36 @ SY256 )
| ( leq @ ( s @ SV36 ) @ ( s @ SY256 ) ) )
| ~ ( ~ ( leq @ ( s @ SV36 ) @ ( s @ SY256 ) )
| ( leq @ SV36 @ SY256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(292,plain,
( ( elec_2 = norm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(293,plain,
! [SV37: $i] :
( ( ! [SY257: $i,SY258: $i] :
( ~ ~ ( ~ ( leq @ SV37 @ SY257 )
| ~ ( leq @ SY257 @ SY258 ) )
| ( leq @ SV37 @ SY258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(294,plain,
! [SV38: $i] :
( ( ! [SY259: $i,SY260: $i,SY261: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY260 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SY260 @ alive ) )
| ( ( host @ SY259 )
!= ( host @ SV38 ) ) )
| ( ( host @ SY261 )
!= ( host @ SY260 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY261 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SY259 ) @ ( queue @ ( host @ SY260 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(295,plain,
! [SV39: $i] :
( ( ! [SY262: $i] :
( ( m_Down @ SV39 )
!= ( m_Ldr @ SY262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(296,plain,
( ( elec_1 = elec_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(297,plain,
! [SV40: $i] :
( ( ! [SY263: $i] :
( ( m_Ldr @ SV40 )
!= ( m_Halt @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(298,plain,
! [SV41: $i] :
( ( ! [SY264: $i,SY265: $i] :
( ( m_Ack @ SV41 @ SY264 )
!= ( m_Halt @ SY265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(299,plain,
! [SV42: $i] :
( ( ! [SY266: $i] :
( ~ ( elem @ ( m_Down @ SY266 ) @ ( queue @ ( host @ SV42 ) ) )
| ( ( host @ SY266 )
!= ( host @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(300,plain,
! [SV43: $i] :
( ( ! [SY267: $i] :
( ( m_Down @ SV43 )
!= ( m_NormQ @ SY267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(301,plain,
! [SV44: $i] :
( ( ! [SY268: $i] :
( ( ( s @ ( host @ SV44 ) )
!= ( host @ SY268 ) )
| ( ( host @ SV44 )
!= ( host @ SY268 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(302,plain,
! [SV45: $i] :
( ( ! [SY269: $i] :
( ~ ~ ( ~ ( ( SY269 != SV45 ) )
| ( ( host @ SY269 )
!= ( host @ SV45 ) ) )
| ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SY269 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(303,plain,
! [SV46: $i] :
( ( ! [SY270: $i] :
( ( m_NormQ @ SV46 )
!= ( m_Halt @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(304,plain,
! [SV47: $i] :
( ( ! [SY271: $i,SY272: $i] :
( ( m_Ack @ SV47 @ SY271 )
!= ( m_NotNorm @ SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(305,plain,
( ( elec_1 = wait )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(306,plain,
! [SV48: $i] :
( ( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY115 ) @ SV48 )
| ~ ( leq @ ( s @ zero ) @ SV48 ) )
| ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SV48
= ( host @ sK4_SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(307,plain,
! [SV49: $i] :
( ( ! [SY273: $i] :
~ ( ~ ( ~ ~ ( ~ ( leq @ SV49 @ SY273 )
| ~ ( leq @ SY273 @ SV49 ) )
| ( SV49 = SY273 ) )
| ~ ( ( SV49 != SY273 )
| ~ ( ~ ( leq @ SV49 @ SY273 )
| ~ ( leq @ SY273 @ SV49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(308,plain,
! [SV50: $i,SV3: $i] :
( ( ( head @ ( cons @ SV3 @ SV50 ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(309,plain,
! [SV51: $i,SV4: $i] :
( ( ( tail @ ( cons @ SV4 @ SV51 ) )
= SV51 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(310,plain,
! [SV52: $i,SV5: $i] :
( ( ! [SY274: $i] :
( ( snoc @ ( cons @ SV5 @ SY274 ) @ SV52 )
= ( cons @ SV5 @ ( snoc @ SY274 @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(311,plain,
! [SV6: $i] :
( ( elem @ SV6 @ q_nil )
= $false ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(312,plain,
! [SV9: $i] :
( ( leq @ ( s @ SV9 ) @ SV9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(313,plain,
! [SV53: $i,SV11: $i] :
( ( ( leq @ SV11 @ SV53 )
| ( leq @ SV53 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(314,plain,
! [SV12: $i] :
( ( setIn @ SV12 @ setEmpty )
= $false ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(315,plain,
! [SV13: $i,SV54: $i] :
( ( ~ ( elem @ ( m_Halt @ SV54 ) @ ( queue @ ( host @ SV13 ) ) )
| ~ ( leq @ ( host @ SV13 ) @ ( host @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(316,plain,
! [SV55: $i,SV14: $i] :
( ( ~ ( ~ ( ~ ( ( SV14 != SV55 ) )
| ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) )
| ~ ( ~ ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) )
| ( SV14 != SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(317,plain,
! [SV56: $i,SV15: $i] :
( ( ! [SY275: $i] :
~ ( ~ ( ~ ( elem @ SV15 @ ( cons @ SV56 @ SY275 ) )
| ( SV15 = SV56 )
| ( elem @ SV15 @ SY275 ) )
| ~ ( ~ ( ( SV15 = SV56 )
| ( elem @ SV15 @ SY275 ) )
| ( elem @ SV15 @ ( cons @ SV56 @ SY275 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(318,plain,
! [SV57: $i,SV16: $i] :
( ( ~ ( elem @ ( m_Ack @ SV16 @ SV57 ) @ ( queue @ ( host @ SV16 ) ) )
| ~ ( ~ ( setIn @ SV16 @ pids )
| ~ ( setIn @ SV57 @ pids ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(319,plain,
! [SV17: $i,SV58: $i] :
( ( ! [SY276: $i] :
( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
| ( ( host @ SV58 )
!= ( host @ SY276 ) ) )
| ~ ( elem @ ( m_Down @ SY276 ) @ SV17 ) )
| ( leq @ SV58 @ SY276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(320,plain,
! [SV59: $i,SV18: $i] :
( ( q_nil
!= ( cons @ SV18 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(321,plain,
! [SV60: $i,SV19: $i] :
( ( ( m_Down @ SV19 )
!= ( m_NotNorm @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(322,plain,
! [SV61: $i,SV20: $i] :
( ( ! [SY277: $i] :
( ( m_Ack @ SV20 @ SV61 )
!= ( m_Down @ SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(323,plain,
! [SV62: $i,SV21: $i] :
( ( ! [SY278: $i] :
( ( m_Ack @ SV21 @ SV62 )
!= ( m_NormQ @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(324,plain,
! [SV63: $i,SV22: $i] :
( ( ( m_NotNorm @ SV22 )
!= ( m_Halt @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(325,plain,
! [SV64: $i,SV23: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV23 @ alive )
| ~ ( leq @ SV64 @ SV23 ) )
| ( ( host @ SV64 )
!= ( host @ SV23 ) ) )
| ~ ( setIn @ SV64 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(326,plain,
! [SV65: $i,SV24: $i] :
( ( ! [SY279: $i,SY280: $i] :
( ~ ( ( SY279 != SY280 ) )
| ( ( m_Ack @ SV24 @ SY279 )
!= ( m_Ack @ SV65 @ SY280 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(327,plain,
( ( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ sK3_SY115 )
!= ( host @ sK5_SX0 ) )
| ! [SY281: $i,SY282: $i] :
( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY282 ) ) )
| ~ ( ( ( host @ sK3_SY115 )
!= ( host @ SY282 ) ) )
| ! [SY283: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY282 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ SY282 @ alive ) )
| ( ( host @ SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ SY283 )
!= ( host @ SY282 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY283 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ SY281 ) @ ( queue @ ( host @ SY282 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[278]) ).
thf(328,plain,
! [SV66: $i,SV25: $i] :
( ( ( m_Down @ SV25 )
!= ( m_Halt @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(329,plain,
! [SV67: $i,SV26: $i] :
( ( ! [SY284: $i] :
( ~ ( elem @ ( m_Ack @ SY284 @ SV26 ) @ ( queue @ ( host @ SV67 ) ) )
| ~ ( leq @ ( host @ SV26 ) @ ( host @ SY284 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(330,plain,
( ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
!= ( host @ sK4_SY167 ) )
| ( ( index @ status @ ( host @ sK3_SY115 ) )
!= norm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(331,plain,
( ( ~ ( ( ( index @ status @ ( host @ sK3_SY115 ) )
!= wait )
| ( ( host @ sK4_SY167 )
!= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(332,plain,
! [SV27: $i,SV68: $i] :
( ( ~ ( setIn @ SV68 @ alive )
| ~ ( elem @ ( m_Down @ SV68 ) @ ( queue @ ( host @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(333,plain,
! [SV69: $i,SV28: $i] :
( ( ! [SY285: $i,SY286: $i] :
( ~ ( ( SV28 != SV69 ) )
| ( ( m_Ack @ SV28 @ SY285 )
!= ( m_Ack @ SV69 @ SY286 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(334,plain,
! [SV70: $i,SV29: $i] :
( ( ~ ( ~ ( ~ ( leq @ SV29 @ ( s @ SV70 ) )
| ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
| ~ ( ~ ( ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
| ( leq @ SV29 @ ( s @ SV70 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(335,plain,
! [SV30: $i,SV71: $i] :
( ( ~ ( elem @ ( m_Down @ SV71 ) @ ( queue @ ( host @ SV30 ) ) )
| ~ ( setIn @ SV71 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(336,plain,
! [SV72: $i,SV31: $i] :
( ( ~ ( ( ( host @ SV31 )
!= ( host @ SV72 ) ) )
| ( SV31 != SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(337,plain,
! [SV73: $i,SV32: $i] :
( ( ! [SY287: $i] :
~ ( ~ ( ~ ( elem @ SV32 @ ( snoc @ SY287 @ SV73 ) )
| ( SV32 = SV73 )
| ( elem @ SV32 @ SY287 ) )
| ~ ( ~ ( ( SV32 = SV73 )
| ( elem @ SV32 @ SY287 ) )
| ( elem @ SV32 @ ( snoc @ SY287 @ SV73 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(338,plain,
! [SV74: $i,SV33: $i] :
( ( ! [SY288: $i] :
( ( m_Ack @ SV33 @ SV74 )
!= ( m_Ldr @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(339,plain,
! [SV34: $i] :
( ( ~ ( ~ ( pidElem @ SV34 )
| ~ ! [SY253: $i] :
~ ( ( SV34
= ( m_Halt @ SY253 ) )
| ( SV34
= ( m_Down @ SY253 ) ) ) )
| ~ ( ~ ~ ! [SY254: $i] :
~ ( ( SV34
= ( m_Halt @ SY254 ) )
| ( SV34
= ( m_Down @ SY254 ) ) )
| ( pidElem @ SV34 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(340,plain,
! [SV75: $i,SV35: $i] :
( ( ~ ( ~ ( ~ ( ( SV35 != SV75 ) )
| ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) )
| ~ ( ~ ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) )
| ( SV35 != SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(341,plain,
! [SV76: $i,SV36: $i] :
( ( ~ ( ~ ( ~ ( leq @ SV36 @ SV76 )
| ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) ) )
| ~ ( ~ ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) )
| ( leq @ SV36 @ SV76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(342,plain,
! [SV77: $i,SV37: $i] :
( ( ! [SY289: $i] :
( ~ ~ ( ~ ( leq @ SV37 @ SV77 )
| ~ ( leq @ SV77 @ SY289 ) )
| ( leq @ SV37 @ SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(343,plain,
! [SV78: $i,SV38: $i] :
( ( ! [SY290: $i,SY291: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY290 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SY290 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) )
| ( ( host @ SY291 )
!= ( host @ SY290 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY291 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SY290 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(344,plain,
! [SV79: $i,SV39: $i] :
( ( ( m_Down @ SV39 )
!= ( m_Ldr @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(345,plain,
! [SV80: $i,SV40: $i] :
( ( ( m_Ldr @ SV40 )
!= ( m_Halt @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(346,plain,
! [SV81: $i,SV41: $i] :
( ( ! [SY292: $i] :
( ( m_Ack @ SV41 @ SV81 )
!= ( m_Halt @ SY292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(347,plain,
! [SV42: $i,SV82: $i] :
( ( ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV42 ) ) )
| ( ( host @ SV82 )
!= ( host @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(348,plain,
! [SV83: $i,SV43: $i] :
( ( ( m_Down @ SV43 )
!= ( m_NormQ @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(349,plain,
! [SV84: $i,SV44: $i] :
( ( ( ( s @ ( host @ SV44 ) )
!= ( host @ SV84 ) )
| ( ( host @ SV44 )
!= ( host @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(350,plain,
! [SV45: $i,SV85: $i] :
( ( ~ ~ ( ~ ( ( SV85 != SV45 ) )
| ( ( host @ SV85 )
!= ( host @ SV45 ) ) )
| ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SV85 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(351,plain,
! [SV86: $i,SV46: $i] :
( ( ( m_NormQ @ SV46 )
!= ( m_Halt @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(352,plain,
! [SV87: $i,SV47: $i] :
( ( ! [SY293: $i] :
( ( m_Ack @ SV47 @ SV87 )
!= ( m_NotNorm @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(353,plain,
! [SV48: $i] :
( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY115 ) @ SV48 )
| ~ ( leq @ ( s @ zero ) @ SV48 ) ) )
= $true )
| ( ( ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SV48
= ( host @ sK4_SY167 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(354,plain,
! [SV88: $i,SV49: $i] :
( ( ~ ( ~ ( ~ ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) )
| ( SV49 = SV88 ) )
| ~ ( ( SV49 != SV88 )
| ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(355,plain,
! [SV52: $i,SV89: $i,SV5: $i] :
( ( ( snoc @ ( cons @ SV5 @ SV89 ) @ SV52 )
= ( cons @ SV5 @ ( snoc @ SV89 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(356,plain,
! [SV53: $i,SV11: $i] :
( ( ( leq @ SV11 @ SV53 )
= $true )
| ( ( leq @ SV53 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(357,plain,
! [SV13: $i,SV54: $i] :
( ( ( ~ ( elem @ ( m_Halt @ SV54 ) @ ( queue @ ( host @ SV13 ) ) ) )
= $true )
| ( ( ~ ( leq @ ( host @ SV13 ) @ ( host @ SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(358,plain,
! [SV55: $i,SV14: $i] :
( ( ~ ( ~ ( ( SV14 != SV55 ) )
| ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) )
| ~ ( ~ ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) )
| ( SV14 != SV55 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(359,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ~ ( ~ ( ~ ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
| ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
| ~ ( ~ ( ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
| ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(360,plain,
! [SV57: $i,SV16: $i] :
( ( ( ~ ( elem @ ( m_Ack @ SV16 @ SV57 ) @ ( queue @ ( host @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ( setIn @ SV16 @ pids )
| ~ ( setIn @ SV57 @ pids ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(361,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
| ( ( host @ SV58 )
!= ( host @ SV91 ) ) )
| ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) )
| ( leq @ SV58 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(362,plain,
! [SV59: $i,SV18: $i] :
( ( q_nil
= ( cons @ SV18 @ SV59 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(363,plain,
! [SV60: $i,SV19: $i] :
( ( ( m_Down @ SV19 )
= ( m_NotNorm @ SV60 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(364,plain,
! [SV92: $i,SV61: $i,SV20: $i] :
( ( ( m_Ack @ SV20 @ SV61 )
!= ( m_Down @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(365,plain,
! [SV93: $i,SV62: $i,SV21: $i] :
( ( ( m_Ack @ SV21 @ SV62 )
!= ( m_NormQ @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(366,plain,
! [SV63: $i,SV22: $i] :
( ( ( m_NotNorm @ SV22 )
= ( m_Halt @ SV63 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(367,plain,
! [SV64: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV23 @ alive )
| ~ ( leq @ SV64 @ SV23 ) )
| ( ( host @ SV64 )
!= ( host @ SV23 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(368,plain,
! [SV65: $i,SV24: $i,SV94: $i] :
( ( ! [SY294: $i] :
( ~ ( ( SV94 != SY294 ) )
| ( ( m_Ack @ SV24 @ SV94 )
!= ( m_Ack @ SV65 @ SY294 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(369,plain,
( ( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ sK5_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(370,plain,
( ( ( ( host @ sK3_SY115 )
!= ( host @ sK5_SX0 ) )
| ! [SY281: $i,SY282: $i] :
( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY282 ) ) )
| ~ ( ( ( host @ sK3_SY115 )
!= ( host @ SY282 ) ) )
| ! [SY283: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY282 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ SY282 @ alive ) )
| ( ( host @ SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ SY283 )
!= ( host @ SY282 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY283 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ SY281 ) @ ( queue @ ( host @ SY282 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(371,plain,
! [SV66: $i,SV25: $i] :
( ( ( m_Down @ SV25 )
= ( m_Halt @ SV66 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(372,plain,
! [SV67: $i,SV26: $i,SV95: $i] :
( ( ~ ( elem @ ( m_Ack @ SV95 @ SV26 ) @ ( queue @ ( host @ SV67 ) ) )
| ~ ( leq @ ( host @ SV26 ) @ ( host @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(373,plain,
( ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
!= ( host @ sK4_SY167 ) )
| ( ( index @ status @ ( host @ sK3_SY115 ) )
!= norm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(374,plain,
( ( ( ( index @ status @ ( host @ sK3_SY115 ) )
!= wait )
| ( ( host @ sK4_SY167 )
!= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(375,plain,
! [SV27: $i,SV68: $i] :
( ( ( ~ ( setIn @ SV68 @ alive ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV68 ) @ ( queue @ ( host @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(376,plain,
! [SV96: $i,SV69: $i,SV28: $i] :
( ( ! [SY295: $i] :
( ~ ( ( SV28 != SV69 ) )
| ( ( m_Ack @ SV28 @ SV96 )
!= ( m_Ack @ SV69 @ SY295 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(377,plain,
! [SV70: $i,SV29: $i] :
( ( ~ ( ~ ( leq @ SV29 @ ( s @ SV70 ) )
| ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
| ~ ( ~ ( ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
| ( leq @ SV29 @ ( s @ SV70 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(378,plain,
! [SV30: $i,SV71: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV71 ) @ ( queue @ ( host @ SV30 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV71 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(379,plain,
! [SV72: $i,SV31: $i] :
( ( ( ~ ( ( ( host @ SV31 )
!= ( host @ SV72 ) ) ) )
= $true )
| ( ( SV31 != SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(380,plain,
! [SV73: $i,SV97: $i,SV32: $i] :
( ( ~ ( ~ ( ~ ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
| ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
| ~ ( ~ ( ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
| ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(381,plain,
! [SV98: $i,SV74: $i,SV33: $i] :
( ( ( m_Ack @ SV33 @ SV74 )
!= ( m_Ldr @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(382,plain,
! [SV34: $i] :
( ( ~ ( ~ ( pidElem @ SV34 )
| ~ ! [SY253: $i] :
~ ( ( SV34
= ( m_Halt @ SY253 ) )
| ( SV34
= ( m_Down @ SY253 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(383,plain,
! [SV34: $i] :
( ( ~ ( ~ ~ ! [SY254: $i] :
~ ( ( SV34
= ( m_Halt @ SY254 ) )
| ( SV34
= ( m_Down @ SY254 ) ) )
| ( pidElem @ SV34 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(384,plain,
! [SV75: $i,SV35: $i] :
( ( ~ ( ~ ( ( SV35 != SV75 ) )
| ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) )
| ~ ( ~ ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) )
| ( SV35 != SV75 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(385,plain,
! [SV76: $i,SV36: $i] :
( ( ~ ( ~ ( leq @ SV36 @ SV76 )
| ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) ) )
| ~ ( ~ ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) )
| ( leq @ SV36 @ SV76 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(386,plain,
! [SV99: $i,SV77: $i,SV37: $i] :
( ( ~ ~ ( ~ ( leq @ SV37 @ SV77 )
| ~ ( leq @ SV77 @ SV99 ) )
| ( leq @ SV37 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(387,plain,
! [SV78: $i,SV38: $i,SV100: $i] :
( ( ! [SY296: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) )
| ( ( host @ SY296 )
!= ( host @ SV100 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY296 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(388,plain,
! [SV79: $i,SV39: $i] :
( ( ( m_Down @ SV39 )
= ( m_Ldr @ SV79 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(389,plain,
! [SV80: $i,SV40: $i] :
( ( ( m_Ldr @ SV40 )
= ( m_Halt @ SV80 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(390,plain,
! [SV101: $i,SV81: $i,SV41: $i] :
( ( ( m_Ack @ SV41 @ SV81 )
!= ( m_Halt @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(391,plain,
! [SV42: $i,SV82: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV42 ) ) ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(392,plain,
! [SV83: $i,SV43: $i] :
( ( ( m_Down @ SV43 )
= ( m_NormQ @ SV83 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(393,plain,
! [SV84: $i,SV44: $i] :
( ( ( ( s @ ( host @ SV44 ) )
!= ( host @ SV84 ) )
= $true )
| ( ( ( host @ SV44 )
!= ( host @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(394,plain,
! [SV45: $i,SV85: $i] :
( ( ( ~ ~ ( ~ ( ( SV85 != SV45 ) )
| ( ( host @ SV85 )
!= ( host @ SV45 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SV85 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(395,plain,
! [SV86: $i,SV46: $i] :
( ( ( m_NormQ @ SV46 )
= ( m_Halt @ SV86 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(396,plain,
! [SV102: $i,SV87: $i,SV47: $i] :
( ( ( m_Ack @ SV47 @ SV87 )
!= ( m_NotNorm @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(397,plain,
! [SV48: $i] :
( ( ( ~ ( ~ ~ ( leq @ ( host @ sK3_SY115 ) @ SV48 )
| ~ ( leq @ ( s @ zero ) @ SV48 ) ) )
= $false )
| ( ( ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SV48
= ( host @ sK4_SY167 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(398,plain,
! [SV88: $i,SV49: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) )
| ( SV49 = SV88 ) )
| ~ ( ( SV49 != SV88 )
| ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(399,plain,
! [SV13: $i,SV54: $i] :
( ( ( elem @ ( m_Halt @ SV54 ) @ ( queue @ ( host @ SV13 ) ) )
= $false )
| ( ( ~ ( leq @ ( host @ SV13 ) @ ( host @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(400,plain,
! [SV55: $i,SV14: $i] :
( ( ~ ( ~ ( ( SV14 != SV55 ) )
| ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(401,plain,
! [SV55: $i,SV14: $i] :
( ( ~ ( ~ ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) )
| ( SV14 != SV55 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(402,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ~ ( ~ ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
| ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
| ~ ( ~ ( ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
| ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(403,plain,
! [SV57: $i,SV16: $i] :
( ( ( elem @ ( m_Ack @ SV16 @ SV57 ) @ ( queue @ ( host @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( setIn @ SV16 @ pids )
| ~ ( setIn @ SV57 @ pids ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(404,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
| ( ( host @ SV58 )
!= ( host @ SV91 ) ) )
| ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) ) )
= $true )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(405,plain,
! [SV92: $i,SV61: $i,SV20: $i] :
( ( ( m_Ack @ SV20 @ SV61 )
= ( m_Down @ SV92 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(406,plain,
! [SV93: $i,SV62: $i,SV21: $i] :
( ( ( m_Ack @ SV21 @ SV62 )
= ( m_NormQ @ SV93 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(407,plain,
! [SV64: $i,SV23: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( setIn @ SV23 @ alive )
| ~ ( leq @ SV64 @ SV23 ) )
| ( ( host @ SV64 )
!= ( host @ SV23 ) ) ) )
= $false )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(408,plain,
! [SV65: $i,SV24: $i,SV103: $i,SV94: $i] :
( ( ~ ( ( SV94 != SV103 ) )
| ( ( m_Ack @ SV24 @ SV94 )
!= ( m_Ack @ SV65 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(409,plain,
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ sK5_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(410,plain,
( ( ( host @ sK3_SY115 )
!= ( host @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(411,plain,
( ( ! [SY281: $i,SY282: $i] :
( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY282 ) ) )
| ~ ( ( ( host @ sK3_SY115 )
!= ( host @ SY282 ) ) )
| ! [SY283: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY282 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ SY282 @ alive ) )
| ( ( host @ SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ SY283 )
!= ( host @ SY282 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY283 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ SY281 ) @ ( queue @ ( host @ SY282 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(412,plain,
! [SV67: $i,SV26: $i,SV95: $i] :
( ( ( ~ ( elem @ ( m_Ack @ SV95 @ SV26 ) @ ( queue @ ( host @ SV67 ) ) ) )
= $true )
| ( ( ~ ( leq @ ( host @ SV26 ) @ ( host @ SV95 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(413,plain,
( ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
!= ( host @ sK4_SY167 ) )
= $true )
| ( ( ( index @ status @ ( host @ sK3_SY115 ) )
!= norm )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(414,plain,
( ( ( ( index @ status @ ( host @ sK3_SY115 ) )
!= wait )
= $true )
| ( ( ( host @ sK4_SY167 )
!= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(415,plain,
! [SV27: $i,SV68: $i] :
( ( ( setIn @ SV68 @ alive )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV68 ) @ ( queue @ ( host @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(416,plain,
! [SV104: $i,SV96: $i,SV69: $i,SV28: $i] :
( ( ~ ( ( SV28 != SV69 ) )
| ( ( m_Ack @ SV28 @ SV96 )
!= ( m_Ack @ SV69 @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(417,plain,
! [SV70: $i,SV29: $i] :
( ( ~ ( ~ ( leq @ SV29 @ ( s @ SV70 ) )
| ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(418,plain,
! [SV70: $i,SV29: $i] :
( ( ~ ( ~ ( ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
| ( leq @ SV29 @ ( s @ SV70 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(419,plain,
! [SV30: $i,SV71: $i] :
( ( ( elem @ ( m_Down @ SV71 ) @ ( queue @ ( host @ SV30 ) ) )
= $false )
| ( ( ~ ( setIn @ SV71 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(420,plain,
! [SV72: $i,SV31: $i] :
( ( ( ( host @ SV31 )
!= ( host @ SV72 ) )
= $false )
| ( ( SV31 != SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(421,plain,
! [SV73: $i,SV97: $i,SV32: $i] :
( ( ~ ( ~ ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
| ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
| ~ ( ~ ( ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
| ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(422,plain,
! [SV98: $i,SV74: $i,SV33: $i] :
( ( ( m_Ack @ SV33 @ SV74 )
= ( m_Ldr @ SV98 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(423,plain,
! [SV34: $i] :
( ( ~ ( pidElem @ SV34 )
| ~ ! [SY253: $i] :
~ ( ( SV34
= ( m_Halt @ SY253 ) )
| ( SV34
= ( m_Down @ SY253 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(424,plain,
! [SV34: $i] :
( ( ~ ~ ! [SY254: $i] :
~ ( ( SV34
= ( m_Halt @ SY254 ) )
| ( SV34
= ( m_Down @ SY254 ) ) )
| ( pidElem @ SV34 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(425,plain,
! [SV75: $i,SV35: $i] :
( ( ~ ( ~ ( ( SV35 != SV75 ) )
| ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(426,plain,
! [SV75: $i,SV35: $i] :
( ( ~ ( ~ ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) )
| ( SV35 != SV75 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(427,plain,
! [SV76: $i,SV36: $i] :
( ( ~ ( ~ ( leq @ SV36 @ SV76 )
| ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(428,plain,
! [SV76: $i,SV36: $i] :
( ( ~ ( ~ ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) )
| ( leq @ SV36 @ SV76 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(429,plain,
! [SV99: $i,SV77: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV37 @ SV77 )
| ~ ( leq @ SV77 @ SV99 ) ) )
= $true )
| ( ( leq @ SV37 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(430,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) )
| ( ( host @ SV105 )
!= ( host @ SV100 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(431,plain,
! [SV101: $i,SV81: $i,SV41: $i] :
( ( ( m_Ack @ SV41 @ SV81 )
= ( m_Halt @ SV101 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(432,plain,
! [SV42: $i,SV82: $i] :
( ( ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV42 ) ) )
= $false )
| ( ( ( host @ SV82 )
!= ( host @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(433,plain,
! [SV84: $i,SV44: $i] :
( ( ( ( s @ ( host @ SV44 ) )
= ( host @ SV84 ) )
= $false )
| ( ( ( host @ SV44 )
!= ( host @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(434,plain,
! [SV45: $i,SV85: $i] :
( ( ( ~ ( ~ ( ( SV85 != SV45 ) )
| ( ( host @ SV85 )
!= ( host @ SV45 ) ) ) )
= $false )
| ( ( ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SV85 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(435,plain,
! [SV102: $i,SV87: $i,SV47: $i] :
( ( ( m_Ack @ SV47 @ SV87 )
= ( m_NotNorm @ SV102 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(436,plain,
! [SV48: $i] :
( ( ( ~ ~ ( leq @ ( host @ sK3_SY115 ) @ SV48 )
| ~ ( leq @ ( s @ zero ) @ SV48 ) )
= $true )
| ( ( ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SV48
= ( host @ sK4_SY167 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(437,plain,
! [SV88: $i,SV49: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) )
| ( SV49 = SV88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(438,plain,
! [SV88: $i,SV49: $i] :
( ( ~ ( ( SV49 != SV88 )
| ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(439,plain,
! [SV54: $i,SV13: $i] :
( ( ( leq @ ( host @ SV13 ) @ ( host @ SV54 ) )
= $false )
| ( ( elem @ ( m_Halt @ SV54 ) @ ( queue @ ( host @ SV13 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(440,plain,
! [SV55: $i,SV14: $i] :
( ( ~ ( ( SV14 != SV55 ) )
| ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(441,plain,
! [SV55: $i,SV14: $i] :
( ( ~ ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) )
| ( SV14 != SV55 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(442,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ~ ( ~ ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
| ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(443,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ~ ( ~ ( ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
| ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(444,plain,
! [SV57: $i,SV16: $i] :
( ( ( ~ ( setIn @ SV16 @ pids )
| ~ ( setIn @ SV57 @ pids ) )
= $false )
| ( ( elem @ ( m_Ack @ SV16 @ SV57 ) @ ( queue @ ( host @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(445,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
| ( ( host @ SV58 )
!= ( host @ SV91 ) ) )
| ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) ) )
= $false )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(446,plain,
! [SV64: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( setIn @ SV23 @ alive )
| ~ ( leq @ SV64 @ SV23 ) )
| ( ( host @ SV64 )
!= ( host @ SV23 ) ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(447,plain,
! [SV65: $i,SV24: $i,SV103: $i,SV94: $i] :
( ( ( ~ ( ( SV94 != SV103 ) ) )
= $true )
| ( ( ( m_Ack @ SV24 @ SV94 )
!= ( m_Ack @ SV65 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(448,plain,
( ( ( s @ ( host @ sK3_SY115 ) )
= ( host @ sK5_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(449,plain,
( ( ( host @ sK3_SY115 )
= ( host @ sK5_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(450,plain,
( ( ! [SY297: $i] :
( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ SY297 ) ) )
| ~ ( ( ( host @ sK3_SY115 )
!= ( host @ SY297 ) ) )
| ! [SY298: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ SY298 )
!= ( host @ SY297 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY298 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ SY297 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[411]) ).
thf(451,plain,
! [SV67: $i,SV26: $i,SV95: $i] :
( ( ( elem @ ( m_Ack @ SV95 @ SV26 ) @ ( queue @ ( host @ SV67 ) ) )
= $false )
| ( ( ~ ( leq @ ( host @ SV26 ) @ ( host @ SV95 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(452,plain,
( ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
= ( host @ sK4_SY167 ) )
= $false )
| ( ( ( index @ status @ ( host @ sK3_SY115 ) )
!= norm )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(453,plain,
( ( ( ( index @ status @ ( host @ sK3_SY115 ) )
= wait )
= $false )
| ( ( ( host @ sK4_SY167 )
!= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(454,plain,
! [SV27: $i,SV68: $i] :
( ( ( elem @ ( m_Down @ SV68 ) @ ( queue @ ( host @ SV27 ) ) )
= $false )
| ( ( setIn @ SV68 @ alive )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(455,plain,
! [SV104: $i,SV96: $i,SV69: $i,SV28: $i] :
( ( ( ~ ( ( SV28 != SV69 ) ) )
= $true )
| ( ( ( m_Ack @ SV28 @ SV96 )
!= ( m_Ack @ SV69 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(456,plain,
! [SV70: $i,SV29: $i] :
( ( ~ ( leq @ SV29 @ ( s @ SV70 ) )
| ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(457,plain,
! [SV70: $i,SV29: $i] :
( ( ~ ( ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
| ( leq @ SV29 @ ( s @ SV70 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(458,plain,
! [SV30: $i,SV71: $i] :
( ( ( setIn @ SV71 @ alive )
= $false )
| ( ( elem @ ( m_Down @ SV71 ) @ ( queue @ ( host @ SV30 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(459,plain,
! [SV72: $i,SV31: $i] :
( ( ( ( host @ SV31 )
= ( host @ SV72 ) )
= $true )
| ( ( SV31 != SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(460,plain,
! [SV73: $i,SV97: $i,SV32: $i] :
( ( ~ ( ~ ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
| ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(461,plain,
! [SV97: $i,SV73: $i,SV32: $i] :
( ( ~ ( ~ ( ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
| ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(462,plain,
! [SV34: $i] :
( ( ( ~ ( pidElem @ SV34 ) )
= $true )
| ( ( ~ ! [SY253: $i] :
~ ( ( SV34
= ( m_Halt @ SY253 ) )
| ( SV34
= ( m_Down @ SY253 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(463,plain,
! [SV34: $i] :
( ( ( ~ ~ ! [SY254: $i] :
~ ( ( SV34
= ( m_Halt @ SY254 ) )
| ( SV34
= ( m_Down @ SY254 ) ) ) )
= $true )
| ( ( pidElem @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(464,plain,
! [SV75: $i,SV35: $i] :
( ( ~ ( ( SV35 != SV75 ) )
| ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(465,plain,
! [SV75: $i,SV35: $i] :
( ( ~ ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) )
| ( SV35 != SV75 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(466,plain,
! [SV76: $i,SV36: $i] :
( ( ~ ( leq @ SV36 @ SV76 )
| ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(467,plain,
! [SV76: $i,SV36: $i] :
( ( ~ ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) )
| ( leq @ SV36 @ SV76 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(468,plain,
! [SV99: $i,SV77: $i,SV37: $i] :
( ( ( ~ ( ~ ( leq @ SV37 @ SV77 )
| ~ ( leq @ SV77 @ SV99 ) ) )
= $false )
| ( ( leq @ SV37 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(469,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) )
| ( ( host @ SV105 )
!= ( host @ SV100 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(470,plain,
! [SV42: $i,SV82: $i] :
( ( ( ( host @ SV82 )
= ( host @ SV42 ) )
= $false )
| ( ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV42 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(471,plain,
! [SV84: $i,SV44: $i] :
( ( ( ( host @ SV44 )
= ( host @ SV84 ) )
= $false )
| ( ( ( s @ ( host @ SV44 ) )
= ( host @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(472,plain,
! [SV45: $i,SV85: $i] :
( ( ( ~ ( ( SV85 != SV45 ) )
| ( ( host @ SV85 )
!= ( host @ SV45 ) ) )
= $true )
| ( ( ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SV85 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(473,plain,
! [SV48: $i] :
( ( ( ~ ~ ( leq @ ( host @ sK3_SY115 ) @ SV48 ) )
= $true )
| ( ( ~ ( leq @ ( s @ zero ) @ SV48 ) )
= $true )
| ( ( ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SV48
= ( host @ sK4_SY167 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(474,plain,
! [SV88: $i,SV49: $i] :
( ( ~ ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) )
| ( SV49 = SV88 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(475,plain,
! [SV88: $i,SV49: $i] :
( ( ( SV49 != SV88 )
| ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(476,plain,
! [SV55: $i,SV14: $i] :
( ( ( ~ ( ( SV14 != SV55 ) ) )
= $true )
| ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(477,plain,
! [SV55: $i,SV14: $i] :
( ( ( ~ ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) ) ) )
= $true )
| ( ( SV14 != SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(478,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ~ ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
| ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(479,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ~ ( ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
| ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(480,plain,
! [SV57: $i,SV16: $i] :
( ( ( ~ ( setIn @ SV16 @ pids ) )
= $false )
| ( ( elem @ ( m_Ack @ SV16 @ SV57 ) @ ( queue @ ( host @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(481,plain,
! [SV16: $i,SV57: $i] :
( ( ( ~ ( setIn @ SV57 @ pids ) )
= $false )
| ( ( elem @ ( m_Ack @ SV16 @ SV57 ) @ ( queue @ ( host @ SV16 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(482,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
| ( ( host @ SV58 )
!= ( host @ SV91 ) ) )
| ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) )
= $true )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(483,plain,
! [SV64: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ~ ( setIn @ SV23 @ alive )
| ~ ( leq @ SV64 @ SV23 ) ) )
= $true )
| ( ( ( host @ SV64 )
!= ( host @ SV23 ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(484,plain,
! [SV65: $i,SV24: $i,SV103: $i,SV94: $i] :
( ( ( SV94 != SV103 )
= $false )
| ( ( ( m_Ack @ SV24 @ SV94 )
!= ( m_Ack @ SV65 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(485,plain,
( ( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ sK7_SY297 ) ) )
| ~ ( ( ( host @ sK3_SY115 )
!= ( host @ sK7_SY297 ) ) )
| ! [SY299: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ SY299 )
!= ( host @ sK7_SY297 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY299 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[450]) ).
thf(486,plain,
! [SV67: $i,SV95: $i,SV26: $i] :
( ( ( leq @ ( host @ SV26 ) @ ( host @ SV95 ) )
= $false )
| ( ( elem @ ( m_Ack @ SV95 @ SV26 ) @ ( queue @ ( host @ SV67 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(487,plain,
( ( ( ( index @ status @ ( host @ sK3_SY115 ) )
= norm )
= $false )
| ( ( ( index @ ldr @ ( host @ sK3_SY115 ) )
= ( host @ sK4_SY167 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(488,plain,
( ( ( ( host @ sK4_SY167 )
= ( host @ ( index @ elid @ ( host @ sK3_SY115 ) ) ) )
= $false )
| ( ( ( index @ status @ ( host @ sK3_SY115 ) )
= wait )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(489,plain,
! [SV104: $i,SV96: $i,SV69: $i,SV28: $i] :
( ( ( SV28 != SV69 )
= $false )
| ( ( ( m_Ack @ SV28 @ SV96 )
!= ( m_Ack @ SV69 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(490,plain,
! [SV70: $i,SV29: $i] :
( ( ( ~ ( leq @ SV29 @ ( s @ SV70 ) ) )
= $true )
| ( ( ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(491,plain,
! [SV70: $i,SV29: $i] :
( ( ( ~ ( ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) ) )
= $true )
| ( ( leq @ SV29 @ ( s @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(492,plain,
! [SV72: $i,SV31: $i] :
( ( ( SV31 = SV72 )
= $false )
| ( ( ( host @ SV31 )
= ( host @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(493,plain,
! [SV73: $i,SV97: $i,SV32: $i] :
( ( ~ ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
| ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(494,plain,
! [SV97: $i,SV73: $i,SV32: $i] :
( ( ~ ( ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
| ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(495,plain,
! [SV34: $i] :
( ( ( pidElem @ SV34 )
= $false )
| ( ( ~ ! [SY253: $i] :
~ ( ( SV34
= ( m_Halt @ SY253 ) )
| ( SV34
= ( m_Down @ SY253 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(496,plain,
! [SV34: $i] :
( ( ( ~ ! [SY254: $i] :
~ ( ( SV34
= ( m_Halt @ SY254 ) )
| ( SV34
= ( m_Down @ SY254 ) ) ) )
= $false )
| ( ( pidElem @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(497,plain,
! [SV75: $i,SV35: $i] :
( ( ( ~ ( ( SV35 != SV75 ) ) )
= $true )
| ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(498,plain,
! [SV75: $i,SV35: $i] :
( ( ( ~ ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) ) ) )
= $true )
| ( ( SV35 != SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(499,plain,
! [SV76: $i,SV36: $i] :
( ( ( ~ ( leq @ SV36 @ SV76 ) )
= $true )
| ( ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(500,plain,
! [SV76: $i,SV36: $i] :
( ( ( ~ ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) ) )
= $true )
| ( ( leq @ SV36 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(501,plain,
! [SV99: $i,SV77: $i,SV37: $i] :
( ( ( ~ ( leq @ SV37 @ SV77 )
| ~ ( leq @ SV77 @ SV99 ) )
= $true )
| ( ( leq @ SV37 @ SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(502,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) )
| ( ( host @ SV105 )
!= ( host @ SV100 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(503,plain,
! [SV45: $i,SV85: $i] :
( ( ( ~ ( ( SV85 != SV45 ) ) )
= $true )
| ( ( ( host @ SV85 )
!= ( host @ SV45 ) )
= $true )
| ( ( ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SV85 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(504,plain,
! [SV48: $i] :
( ( ( ~ ( leq @ ( host @ sK3_SY115 ) @ SV48 ) )
= $false )
| ( ( ~ ( leq @ ( s @ zero ) @ SV48 ) )
= $true )
| ( ( ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SV48
= ( host @ sK4_SY167 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(505,plain,
! [SV88: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) ) )
= $true )
| ( ( SV49 = SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(506,plain,
! [SV88: $i,SV49: $i] :
( ( ( SV49 != SV88 )
= $true )
| ( ( ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(507,plain,
! [SV55: $i,SV14: $i] :
( ( ( SV14 != SV55 )
= $false )
| ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(508,plain,
! [SV55: $i,SV14: $i] :
( ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) )
= $false )
| ( ( SV14 != SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(509,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ( ~ ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) ) )
= $true )
| ( ( ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(510,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ( ~ ( ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) ) )
= $true )
| ( ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(511,plain,
! [SV57: $i,SV16: $i] :
( ( ( setIn @ SV16 @ pids )
= $true )
| ( ( elem @ ( m_Ack @ SV16 @ SV57 ) @ ( queue @ ( host @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(512,plain,
! [SV16: $i,SV57: $i] :
( ( ( setIn @ SV57 @ pids )
= $true )
| ( ( elem @ ( m_Ack @ SV16 @ SV57 ) @ ( queue @ ( host @ SV16 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(513,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
| ( ( host @ SV58 )
!= ( host @ SV91 ) ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) )
= $true )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(514,plain,
! [SV64: $i,SV23: $i] :
( ( ( ~ ( ~ ~ ( setIn @ SV23 @ alive )
| ~ ( leq @ SV64 @ SV23 ) ) )
= $false )
| ( ( ( host @ SV64 )
!= ( host @ SV23 ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(515,plain,
! [SV65: $i,SV24: $i,SV103: $i,SV94: $i] :
( ( ( SV94 = SV103 )
= $true )
| ( ( ( m_Ack @ SV24 @ SV94 )
!= ( m_Ack @ SV65 @ SV103 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(516,plain,
( ( ~ ( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ sK7_SY297 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(517,plain,
( ( ~ ( ( ( host @ sK3_SY115 )
!= ( host @ sK7_SY297 ) ) )
| ! [SY299: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ SY299 )
!= ( host @ sK7_SY297 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY299 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(518,plain,
! [SV104: $i,SV96: $i,SV69: $i,SV28: $i] :
( ( ( SV28 = SV69 )
= $true )
| ( ( ( m_Ack @ SV28 @ SV96 )
!= ( m_Ack @ SV69 @ SV104 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(519,plain,
! [SV70: $i,SV29: $i] :
( ( ( leq @ SV29 @ ( s @ SV70 ) )
= $false )
| ( ( ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(520,plain,
! [SV70: $i,SV29: $i] :
( ( ( ( SV29
= ( s @ SV70 ) )
| ( leq @ SV29 @ SV70 ) )
= $false )
| ( ( leq @ SV29 @ ( s @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(521,plain,
! [SV73: $i,SV97: $i,SV32: $i] :
( ( ( ~ ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) ) )
= $true )
| ( ( ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(522,plain,
! [SV97: $i,SV73: $i,SV32: $i] :
( ( ( ~ ( ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) ) )
= $true )
| ( ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(523,plain,
! [SV34: $i] :
( ( ( ! [SY253: $i] :
~ ( ( SV34
= ( m_Halt @ SY253 ) )
| ( SV34
= ( m_Down @ SY253 ) ) ) )
= $false )
| ( ( pidElem @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(524,plain,
! [SV34: $i] :
( ( ( ! [SY254: $i] :
~ ( ( SV34
= ( m_Halt @ SY254 ) )
| ( SV34
= ( m_Down @ SY254 ) ) ) )
= $true )
| ( ( pidElem @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(525,plain,
! [SV75: $i,SV35: $i] :
( ( ( SV35 != SV75 )
= $false )
| ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(526,plain,
! [SV75: $i,SV35: $i] :
( ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) )
= $false )
| ( ( SV35 != SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(527,plain,
! [SV76: $i,SV36: $i] :
( ( ( leq @ SV36 @ SV76 )
= $false )
| ( ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(528,plain,
! [SV76: $i,SV36: $i] :
( ( ( leq @ ( s @ SV36 ) @ ( s @ SV76 ) )
= $false )
| ( ( leq @ SV36 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(529,plain,
! [SV99: $i,SV77: $i,SV37: $i] :
( ( ( ~ ( leq @ SV37 @ SV77 ) )
= $true )
| ( ( ~ ( leq @ SV77 @ SV99 ) )
= $true )
| ( ( leq @ SV37 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(530,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) )
| ( ( host @ SV105 )
!= ( host @ SV100 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(531,plain,
! [SV45: $i,SV85: $i] :
( ( ( SV85 != SV45 )
= $false )
| ( ( ( host @ SV85 )
!= ( host @ SV45 ) )
= $true )
| ( ( ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SV85 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(532,plain,
! [SV48: $i] :
( ( ( leq @ ( host @ sK3_SY115 ) @ SV48 )
= $true )
| ( ( ~ ( leq @ ( s @ zero ) @ SV48 ) )
= $true )
| ( ( ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SV48
= ( host @ sK4_SY167 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(533,plain,
! [SV88: $i,SV49: $i] :
( ( ( ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) ) )
= $false )
| ( ( SV49 = SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(534,plain,
! [SV88: $i,SV49: $i] :
( ( ( SV49 = SV88 )
= $false )
| ( ( ~ ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(535,plain,
! [SV55: $i,SV14: $i] :
( ( ( SV14 = SV55 )
= $true )
| ( ( ( m_Down @ SV14 )
!= ( m_Down @ SV55 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(536,plain,
! [SV55: $i,SV14: $i] :
( ( ( ( m_Down @ SV14 )
= ( m_Down @ SV55 ) )
= $true )
| ( ( SV14 != SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(537,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
= $false )
| ( ( ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(538,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ( ( SV15 = SV56 )
| ( elem @ SV15 @ SV90 ) )
= $false )
| ( ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(539,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ( ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
| ( ( host @ SV58 )
!= ( host @ SV91 ) ) ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) )
= $true )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(540,plain,
! [SV64: $i,SV23: $i] :
( ( ( ~ ~ ( setIn @ SV23 @ alive )
| ~ ( leq @ SV64 @ SV23 ) )
= $true )
| ( ( ( host @ SV64 )
!= ( host @ SV23 ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(541,plain,
! [SV103: $i,SV65: $i,SV94: $i,SV24: $i] :
( ( ( ( m_Ack @ SV24 @ SV94 )
= ( m_Ack @ SV65 @ SV103 ) )
= $false )
| ( ( SV94 = SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(542,plain,
( ( ( s @ ( host @ sK3_SY115 ) )
!= ( host @ sK7_SY297 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(543,plain,
( ( ~ ( ( ( host @ sK3_SY115 )
!= ( host @ sK7_SY297 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(544,plain,
( ( ! [SY299: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ SY299 )
!= ( host @ sK7_SY297 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY299 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(545,plain,
! [SV104: $i,SV69: $i,SV96: $i,SV28: $i] :
( ( ( ( m_Ack @ SV28 @ SV96 )
= ( m_Ack @ SV69 @ SV104 ) )
= $false )
| ( ( SV28 = SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(546,plain,
! [SV70: $i,SV29: $i] :
( ( ( SV29
= ( s @ SV70 ) )
= $true )
| ( ( leq @ SV29 @ SV70 )
= $true )
| ( ( leq @ SV29 @ ( s @ SV70 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(547,plain,
! [SV70: $i,SV29: $i] :
( ( ( SV29
= ( s @ SV70 ) )
= $false )
| ( ( leq @ SV29 @ ( s @ SV70 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(548,plain,
! [SV70: $i,SV29: $i] :
( ( ( leq @ SV29 @ SV70 )
= $false )
| ( ( leq @ SV29 @ ( s @ SV70 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(549,plain,
! [SV73: $i,SV97: $i,SV32: $i] :
( ( ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
= $false )
| ( ( ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(550,plain,
! [SV97: $i,SV73: $i,SV32: $i] :
( ( ( ( SV32 = SV73 )
| ( elem @ SV32 @ SV97 ) )
= $false )
| ( ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(551,plain,
! [SV34: $i] :
( ( ( ~ ( ( SV34
= ( m_Halt @ ( sK8_SY253 @ SV34 ) ) )
| ( SV34
= ( m_Down @ ( sK8_SY253 @ SV34 ) ) ) ) )
= $false )
| ( ( pidElem @ SV34 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[523]) ).
thf(552,plain,
! [SV106: $i,SV34: $i] :
( ( ( ~ ( ( SV34
= ( m_Halt @ SV106 ) )
| ( SV34
= ( m_Down @ SV106 ) ) ) )
= $true )
| ( ( pidElem @ SV34 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(553,plain,
! [SV75: $i,SV35: $i] :
( ( ( SV35 = SV75 )
= $true )
| ( ( ( m_Halt @ SV35 )
!= ( m_Halt @ SV75 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(554,plain,
! [SV75: $i,SV35: $i] :
( ( ( ( m_Halt @ SV35 )
= ( m_Halt @ SV75 ) )
= $true )
| ( ( SV35 != SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(555,plain,
! [SV99: $i,SV77: $i,SV37: $i] :
( ( ( leq @ SV37 @ SV77 )
= $false )
| ( ( ~ ( leq @ SV77 @ SV99 ) )
= $true )
| ( ( leq @ SV37 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(556,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(557,plain,
! [SV45: $i,SV85: $i] :
( ( ( SV85 = SV45 )
= $true )
| ( ( ( host @ SV85 )
!= ( host @ SV45 ) )
= $true )
| ( ( ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SV85 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(558,plain,
! [SV48: $i] :
( ( ( leq @ ( s @ zero ) @ SV48 )
= $false )
| ( ( leq @ ( host @ sK3_SY115 ) @ SV48 )
= $true )
| ( ( ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
| ( SV48
= ( host @ sK4_SY167 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(559,plain,
! [SV88: $i,SV49: $i] :
( ( ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) )
= $true )
| ( ( SV49 = SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(560,plain,
! [SV88: $i,SV49: $i] :
( ( ( ~ ( leq @ SV49 @ SV88 )
| ~ ( leq @ SV88 @ SV49 ) )
= $false )
| ( ( SV49 = SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(561,plain,
! [SV55: $i,SV14: $i] :
( ( ( ( m_Down @ SV14 )
= ( m_Down @ SV55 ) )
= $false )
| ( ( SV14 = SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(562,plain,
! [SV55: $i,SV14: $i] :
( ( ( SV14 = SV55 )
= $false )
| ( ( ( m_Down @ SV14 )
= ( m_Down @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(563,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ( SV15 = SV56 )
= $true )
| ( ( elem @ SV15 @ SV90 )
= $true )
| ( ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(564,plain,
! [SV90: $i,SV56: $i,SV15: $i] :
( ( ( SV15 = SV56 )
= $false )
| ( ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(565,plain,
! [SV56: $i,SV90: $i,SV15: $i] :
( ( ( elem @ SV15 @ SV90 )
= $false )
| ( ( elem @ SV15 @ ( cons @ SV56 @ SV90 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(566,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
| ( ( host @ SV58 )
!= ( host @ SV91 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) )
= $true )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(567,plain,
! [SV64: $i,SV23: $i] :
( ( ( ~ ~ ( setIn @ SV23 @ alive ) )
= $true )
| ( ( ~ ( leq @ SV64 @ SV23 ) )
= $true )
| ( ( ( host @ SV64 )
!= ( host @ SV23 ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(568,plain,
( ( ( s @ ( host @ sK3_SY115 ) )
= ( host @ sK7_SY297 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(569,plain,
( ( ( host @ sK3_SY115 )
!= ( host @ sK7_SY297 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(570,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ sK9_SY299 )
!= ( host @ sK7_SY297 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK9_SY299 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[544]) ).
thf(571,plain,
! [SV97: $i,SV73: $i,SV32: $i] :
( ( ( SV32 = SV73 )
= $true )
| ( ( elem @ SV32 @ SV97 )
= $true )
| ( ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(572,plain,
! [SV97: $i,SV73: $i,SV32: $i] :
( ( ( SV32 = SV73 )
= $false )
| ( ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(573,plain,
! [SV73: $i,SV97: $i,SV32: $i] :
( ( ( elem @ SV32 @ SV97 )
= $false )
| ( ( elem @ SV32 @ ( snoc @ SV97 @ SV73 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(574,plain,
! [SV34: $i] :
( ( ( ( SV34
= ( m_Halt @ ( sK8_SY253 @ SV34 ) ) )
| ( SV34
= ( m_Down @ ( sK8_SY253 @ SV34 ) ) ) )
= $true )
| ( ( pidElem @ SV34 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(575,plain,
! [SV106: $i,SV34: $i] :
( ( ( ( SV34
= ( m_Halt @ SV106 ) )
| ( SV34
= ( m_Down @ SV106 ) ) )
= $false )
| ( ( pidElem @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(576,plain,
! [SV75: $i,SV35: $i] :
( ( ( ( m_Halt @ SV35 )
= ( m_Halt @ SV75 ) )
= $false )
| ( ( SV35 = SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(577,plain,
! [SV75: $i,SV35: $i] :
( ( ( SV35 = SV75 )
= $false )
| ( ( ( m_Halt @ SV35 )
= ( m_Halt @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(578,plain,
! [SV37: $i,SV99: $i,SV77: $i] :
( ( ( leq @ SV77 @ SV99 )
= $false )
| ( ( leq @ SV37 @ SV77 )
= $false )
| ( ( leq @ SV37 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(579,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) ) )
= $false )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(580,plain,
! [SV45: $i,SV85: $i] :
( ( ( ( host @ SV85 )
= ( host @ SV45 ) )
= $false )
| ( ( SV85 = SV45 )
= $true )
| ( ( ~ ( setIn @ SV45 @ alive )
| ~ ( setIn @ SV85 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(581,plain,
! [SV48: $i] :
( ( ( setIn @ SV48 @ ( index @ down @ ( host @ sK3_SY115 ) ) )
= $true )
| ( ( SV48
= ( host @ sK4_SY167 ) )
= $true )
| ( ( leq @ ( host @ sK3_SY115 ) @ SV48 )
= $true )
| ( ( leq @ ( s @ zero ) @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(582,plain,
! [SV88: $i,SV49: $i] :
( ( ( ~ ( leq @ SV49 @ SV88 ) )
= $true )
| ( ( ~ ( leq @ SV88 @ SV49 ) )
= $true )
| ( ( SV49 = SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(583,plain,
! [SV88: $i,SV49: $i] :
( ( ( ~ ( leq @ SV49 @ SV88 ) )
= $false )
| ( ( SV49 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(584,plain,
! [SV49: $i,SV88: $i] :
( ( ( ~ ( leq @ SV88 @ SV49 ) )
= $false )
| ( ( SV49 = SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(585,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) ) )
= $true )
| ( ( ( host @ SV58 )
!= ( host @ SV91 ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) )
= $true )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(586,plain,
! [SV64: $i,SV23: $i] :
( ( ( ~ ( setIn @ SV23 @ alive ) )
= $false )
| ( ( ~ ( leq @ SV64 @ SV23 ) )
= $true )
| ( ( ( host @ SV64 )
!= ( host @ SV23 ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(587,plain,
( ( ( host @ sK3_SY115 )
= ( host @ sK7_SY297 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(588,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ sK9_SY299 )
!= ( host @ sK7_SY297 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(589,plain,
( ( ~ ~ ( ~ ( elem @ ( m_Down @ sK9_SY299 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(590,plain,
! [SV34: $i] :
( ( ( SV34
= ( m_Halt @ ( sK8_SY253 @ SV34 ) ) )
= $true )
| ( ( SV34
= ( m_Down @ ( sK8_SY253 @ SV34 ) ) )
= $true )
| ( ( pidElem @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(591,plain,
! [SV106: $i,SV34: $i] :
( ( ( SV34
= ( m_Halt @ SV106 ) )
= $false )
| ( ( pidElem @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(592,plain,
! [SV106: $i,SV34: $i] :
( ( ( SV34
= ( m_Down @ SV106 ) )
= $false )
| ( ( pidElem @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(593,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
| ( ( host @ SV78 )
!= ( host @ SV38 ) ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(594,plain,
! [SV85: $i,SV45: $i] :
( ( ( ~ ( setIn @ SV45 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV85 @ alive ) )
= $true )
| ( ( SV85 = SV45 )
= $true )
| ( ( ( host @ SV85 )
= ( host @ SV45 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(595,plain,
! [SV88: $i,SV49: $i] :
( ( ( leq @ SV49 @ SV88 )
= $false )
| ( ( ~ ( leq @ SV88 @ SV49 ) )
= $true )
| ( ( SV49 = SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(596,plain,
! [SV88: $i,SV49: $i] :
( ( ( leq @ SV49 @ SV88 )
= $true )
| ( ( SV49 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(597,plain,
! [SV49: $i,SV88: $i] :
( ( ( leq @ SV88 @ SV49 )
= $true )
| ( ( SV49 = SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(598,plain,
! [SV91: $i,SV17: $i,SV58: $i] :
( ( ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
= $false )
| ( ( ( host @ SV58 )
!= ( host @ SV91 ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) )
= $true )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(599,plain,
! [SV64: $i,SV23: $i] :
( ( ( setIn @ SV23 @ alive )
= $true )
| ( ( ~ ( leq @ SV64 @ SV23 ) )
= $true )
| ( ( ( host @ SV64 )
!= ( host @ SV23 ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(600,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ sK9_SY299 )
!= ( host @ sK7_SY297 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(601,plain,
( ( ~ ( ~ ( elem @ ( m_Down @ sK9_SY299 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(602,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(603,plain,
! [SV85: $i,SV45: $i] :
( ( ( setIn @ SV45 @ alive )
= $false )
| ( ( ~ ( setIn @ SV85 @ alive ) )
= $true )
| ( ( SV85 = SV45 )
= $true )
| ( ( ( host @ SV85 )
= ( host @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(604,plain,
! [SV49: $i,SV88: $i] :
( ( ( leq @ SV88 @ SV49 )
= $false )
| ( ( leq @ SV49 @ SV88 )
= $false )
| ( ( SV49 = SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(605,plain,
! [SV17: $i,SV91: $i,SV58: $i] :
( ( ( ( host @ SV58 )
= ( host @ SV91 ) )
= $false )
| ( ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV91 ) @ SV17 ) )
= $true )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(606,plain,
! [SV23: $i,SV64: $i] :
( ( ( leq @ SV64 @ SV23 )
= $false )
| ( ( setIn @ SV23 @ alive )
= $true )
| ( ( ( host @ SV64 )
!= ( host @ SV23 ) )
= $true )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(607,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
| ( ( host @ sK9_SY299 )
!= ( host @ sK7_SY297 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(608,plain,
( ( ~ ( elem @ ( m_Down @ sK9_SY299 ) @ sK1_V )
| ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(609,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) ) )
= $false )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(610,plain,
! [SV45: $i,SV85: $i] :
( ( ( setIn @ SV85 @ alive )
= $false )
| ( ( setIn @ SV45 @ alive )
= $false )
| ( ( SV85 = SV45 )
= $true )
| ( ( ( host @ SV85 )
= ( host @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(611,plain,
! [SV58: $i,SV17: $i,SV91: $i] :
( ( ( elem @ ( m_Down @ SV91 ) @ SV17 )
= $false )
| ( ( ordered @ ( cons @ ( m_Halt @ SV58 ) @ SV17 ) )
= $false )
| ( ( ( host @ SV58 )
= ( host @ SV91 ) )
= $false )
| ( ( leq @ SV58 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(612,plain,
! [SV23: $i,SV64: $i] :
( ( ( ( host @ SV64 )
= ( host @ SV23 ) )
= $false )
| ( ( setIn @ SV23 @ alive )
= $true )
| ( ( leq @ SV64 @ SV23 )
= $false )
| ( ( ~ ( setIn @ SV64 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(613,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(614,plain,
( ( ( host @ sK9_SY299 )
!= ( host @ sK7_SY297 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(615,plain,
( ( ~ ( elem @ ( m_Down @ sK9_SY299 ) @ sK1_V ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(616,plain,
( ( ~ ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(617,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
| ~ ( setIn @ SV100 @ alive ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(618,plain,
! [SV23: $i,SV64: $i] :
( ( ( setIn @ SV64 @ alive )
= $false )
| ( ( leq @ SV64 @ SV23 )
= $false )
| ( ( setIn @ SV23 @ alive )
= $true )
| ( ( ( host @ SV64 )
= ( host @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(619,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(620,plain,
( ( ( host @ sK9_SY299 )
= ( host @ sK7_SY297 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(621,plain,
( ( elem @ ( m_Down @ sK9_SY299 ) @ sK1_V )
= $true ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(622,plain,
( ( elem @ ( m_Down @ sK6_SY281 ) @ ( queue @ ( host @ sK7_SY297 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(623,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) ) )
= $true )
| ( ( ~ ( setIn @ SV100 @ alive ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(624,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
| ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(625,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) ) )
= $false )
| ( ( ~ ( setIn @ SV100 @ alive ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(626,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(627,plain,
( ( ( host @ sK6_SY281 )
!= ( host @ sK5_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(628,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) )
| ~ ( setIn @ SV38 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV100 @ alive ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(629,plain,
( ( ~ ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(630,plain,
( ( ( host @ sK6_SY281 )
= ( host @ sK5_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(631,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ~ ( ( ( host @ SV100 )
!= ( host @ SV38 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV38 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV100 @ alive ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(632,plain,
( ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
| ~ ( setIn @ sK7_SY297 @ alive ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(633,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ( host @ SV100 )
!= ( host @ SV38 ) )
= $false )
| ( ( ~ ( setIn @ SV38 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV100 @ alive ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(634,plain,
( ( ~ ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(635,plain,
( ( ~ ( setIn @ sK7_SY297 @ alive ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(636,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( ~ ( setIn @ SV38 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV100 @ alive ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(637,plain,
( ( ~ ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(638,plain,
( ( setIn @ sK7_SY297 @ alive )
= $true ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(639,plain,
! [SV105: $i,SV78: $i,SV100: $i,SV38: $i] :
( ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( ~ ( setIn @ SV100 @ alive ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(640,plain,
( ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) )
| ~ ( setIn @ sK5_SX0 @ alive ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(641,plain,
! [SV105: $i,SV78: $i,SV38: $i,SV100: $i] :
( ( ( setIn @ SV100 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV78 )
!= ( host @ SV38 ) )
= $true )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(642,plain,
( ( ~ ( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(643,plain,
( ( ~ ( setIn @ sK5_SX0 @ alive ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(644,plain,
! [SV105: $i,SV100: $i,SV38: $i,SV78: $i] :
( ( ( ( host @ SV78 )
= ( host @ SV38 ) )
= $false )
| ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( setIn @ SV100 @ alive )
= $false )
| ( ( ( host @ SV105 )
!= ( host @ SV100 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(645,plain,
( ( ( host @ sK7_SY297 )
!= ( host @ sK5_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(646,plain,
( ( setIn @ sK5_SX0 @ alive )
= $true ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(647,plain,
! [SV78: $i,SV38: $i,SV100: $i,SV105: $i] :
( ( ( ( host @ SV105 )
= ( host @ SV100 ) )
= $false )
| ( ( setIn @ SV100 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV78 )
= ( host @ SV38 ) )
= $false )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(648,plain,
( ( ( host @ sK7_SY297 )
= ( host @ sK5_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(649,plain,
! [SV100: $i,SV78: $i,SV38: $i,SV105: $i] :
( ( ( ~ ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) ) )
= $false )
| ( ( ( host @ SV78 )
= ( host @ SV38 ) )
= $false )
| ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( setIn @ SV100 @ alive )
= $false )
| ( ( ( host @ SV105 )
= ( host @ SV100 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(650,plain,
! [SV100: $i,SV78: $i,SV38: $i,SV105: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
| ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) )
= $true )
| ( ( ( host @ SV78 )
= ( host @ SV38 ) )
= $false )
| ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( setIn @ SV100 @ alive )
= $false )
| ( ( ( host @ SV105 )
= ( host @ SV100 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(651,plain,
! [SV100: $i,SV78: $i,SV38: $i,SV105: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) )
= $true )
| ( ( ( host @ SV78 )
= ( host @ SV38 ) )
= $false )
| ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( setIn @ SV100 @ alive )
= $false )
| ( ( ( host @ SV105 )
= ( host @ SV100 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(652,plain,
! [SV100: $i,SV78: $i,SV38: $i,SV105: $i] :
( ( ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) ) )
= $true )
| ( ( ( host @ SV78 )
= ( host @ SV38 ) )
= $false )
| ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( setIn @ SV100 @ alive )
= $false )
| ( ( ( host @ SV105 )
= ( host @ SV100 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(653,plain,
! [SV38: $i,SV105: $i,SV100: $i,SV78: $i] :
( ( ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV100 ) ) )
= $false )
| ( ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV38 ) ) )
= $false )
| ( ( ( host @ SV78 )
= ( host @ SV38 ) )
= $false )
| ( ( setIn @ SV38 @ alive )
= $false )
| ( ( ( host @ SV100 )
= ( host @ SV38 ) )
= $true )
| ( ( setIn @ SV100 @ alive )
= $false )
| ( ( ( host @ SV105 )
= ( host @ SV100 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(654,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[142,653,648,646,638,630,622,621,620,618,611,610,604,597,596,592,591,590,587,581,578,577,576,573,572,571,568,565,564,563,562,561,548,547,546,545,541,528,527,512,511,492,488,487,486,471,470,458,454,449,448,439,435,431,422,406,405,395,392,389,388,371,366,363,362,356,355,314,312,311,309,308,305,296,292,277,267,264,262,261,258,256,255,250,249,248,193,192,188]) ).
thf(655,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV454+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n011.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Oct 6 16:31:21 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.30/1.38
% 6.30/1.38 No.of.Axioms: 48
% 6.30/1.38
% 6.30/1.38 Length.of.Defs: 0
% 6.30/1.38
% 6.30/1.38 Contains.Choice.Funs: false
% 6.30/1.38 .......................
% 6.30/1.38
% 6.30/1.38 ********************************
% 6.30/1.38 * All subproblems solved! *
% 6.30/1.38 ********************************
% 6.30/1.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:63,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:654,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.30/1.38
% 6.30/1.38 %**** Beginning of derivation protocol ****
% 6.30/1.38 % SZS output start CNFRefutation
% See solution above
% 6.30/1.39
% 6.30/1.39 %**** End of derivation protocol ****
% 6.30/1.39 %**** no. of clauses in derivation: 637 ****
% 6.30/1.39 %**** clause counter: 654 ****
% 6.30/1.39
% 6.30/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:63,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:654,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------