%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV449+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:57:47 AM UTC 2026
% Result : Theorem 8.87s 1.72s
% Output : CNFRefutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 53
% Syntax : Number of formulae : 664 ( 464 unt; 0 typ; 0 def)
% Number of atoms : 3804 (1884 equ; 0 cnn)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 7982 (1846 ~; 909 |; 207 &;4806 @)
% ( 27 <=>; 187 =>; 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 : 50 ( 47 usr; 26 con; 0-2 aty)
% Number of variables : 1572 ( 0 ^;1569 !; 3 ?;1572 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_acks,type,
acks: $i ).
thf(tp_alive,type,
alive: $i ).
thf(tp_cons,type,
cons: $i > $i > $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_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_pendack,type,
pendack: $i ).
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_sK10_SY330,type,
sK10_SY330: $i ).
thf(tp_sK1_V,type,
sK1_V: $i ).
thf(tp_sK2_SY131,type,
sK2_SY131: $i ).
thf(tp_sK3_SY158,type,
sK3_SY158: $i ).
thf(tp_sK4_SY184,type,
sK4_SY184: $i ).
thf(tp_sK5_SX0,type,
sK5_SX0: $i ).
thf(tp_sK6_SY317,type,
sK6_SY317: $i ).
thf(tp_sK7_SY325,type,
sK7_SY325: $i ).
thf(tp_sK8_SY328,type,
sK8_SY328: $i ).
thf(tp_sK9_SY297,type,
sK9_SY297: $i > $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(10,axiom,
! [Q: $i,X: $i] :
( ( ordered @ Q )
=> ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
thf(11,axiom,
! [Q: $i,X: $i,Y: $i] :
( ( ordered @ Q )
=> ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
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(23,axiom,
! [X: $i] :
( ( cons @ X @ q_nil )
= ( snoc @ q_nil @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
thf(24,axiom,
! [Y: $i,Q: $i] :
( q_nil
!= ( snoc @ Q @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
thf(25,axiom,
! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(28,axiom,
! [Y: $i,Q: $i] :
( ( init @ ( snoc @ Q @ Y ) )
= Q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(29,axiom,
! [Y: $i,Q: $i] :
( ( last @ ( snoc @ Q @ Y ) )
= Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
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(37,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Ldr @ X )
!= ( m_Ldr @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
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(42,axiom,
! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NotNorm @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(43,axiom,
! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NormQ @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
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(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(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(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_Ack @ W @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ( ( ( index @ elid @ ( host @ X ) )
= W )
& ( ( index @ status @ ( host @ X ) )
= elec_2 )
& ( ( host @ Y )
= ( index @ pendack @ ( host @ X ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) )
=> ! [Z: $i] :
( ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) )
| ( ( host @ Z )
= ( host @ Y ) ) )
=> ! [V0: $i] :
( ( ( host @ Z )
= ( host @ V0 ) )
=> ( ( ( host @ X )
= ( host @ V0 ) )
=> ! [W0: $i,X0: $i] :
( ( ( host @ Z )
!= ( host @ X0 ) )
=> ( ( ( host @ X )
!= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ V0 ) )
& ( setIn @ V0 @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ V0 ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) )
& ( elem @ ( m_Down @ Y0 ) @ ( snoc @ V @ ( m_Ldr @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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_Ack @ W @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ( ( ( index @ elid @ ( host @ X ) )
= W )
& ( ( index @ status @ ( host @ X ) )
= elec_2 )
& ( ( host @ Y )
= ( index @ pendack @ ( host @ X ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) )
=> ! [Z: $i] :
( ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) )
| ( ( host @ Z )
= ( host @ Y ) ) )
=> ! [V0: $i] :
( ( ( host @ Z )
= ( host @ V0 ) )
=> ( ( ( host @ X )
= ( host @ V0 ) )
=> ! [W0: $i,X0: $i] :
( ( ( host @ Z )
!= ( host @ X0 ) )
=> ( ( ( host @ X )
!= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ V0 ) )
& ( setIn @ V0 @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ V0 ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) )
& ( elem @ ( m_Down @ Y0 ) @ ( snoc @ V @ ( m_Ldr @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $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_Ack @ W @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ( ( ( index @ elid @ ( host @ X ) )
= W )
& ( ( index @ status @ ( host @ X ) )
= elec_2 )
& ( ( host @ Y )
= ( index @ pendack @ ( host @ X ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) )
=> ! [Z: $i] :
( ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) )
| ( ( host @ Z )
= ( host @ Y ) ) )
=> ! [V0: $i] :
( ( ( host @ Z )
= ( host @ V0 ) )
=> ( ( ( host @ X )
= ( host @ V0 ) )
=> ! [W0: $i,X0: $i] :
( ( ( host @ Z )
!= ( host @ X0 ) )
=> ( ( ( host @ X )
!= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ V0 ) )
& ( setIn @ V0 @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ V0 ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) )
& ( elem @ ( m_Down @ Y0 ) @ ( snoc @ V @ ( m_Ldr @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $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,
( ( ! [Q: $i,X: $i] :
( ( ordered @ Q )
=> ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(80,plain,
( ( ! [Q: $i,X: $i,Y: $i] :
( ( ordered @ Q )
=> ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(81,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Down @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(82,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Halt @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(83,plain,
( ( ! [X: $i] :
( ( pidElem @ X )
<=> ? [Y: $i] :
( ( X
= ( m_Halt @ Y ) )
| ( X
= ( m_Down @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(84,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(85,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(86,plain,
( ( ! [X: $i] :
~ ( elem @ X @ q_nil ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(87,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(88,plain,
( ( ! [X: $i] :
( ( cons @ X @ q_nil )
= ( snoc @ q_nil @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(89,plain,
( ( ! [Y: $i,Q: $i] :
( q_nil
!= ( snoc @ Q @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(90,plain,
( ( ! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(91,plain,
( ( ! [Y: $i,Q: $i] :
( ( init @ ( snoc @ Q @ Y ) )
= Q ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(92,plain,
( ( ! [Y: $i,Q: $i] :
( ( last @ ( snoc @ Q @ Y ) )
= Y ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(93,plain,
( ( ! [X: $i,Q: $i] :
( ( tail @ ( cons @ X @ Q ) )
= Q ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(94,plain,
( ( ! [X: $i,Q: $i] :
( ( head @ ( cons @ X @ Q ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(95,plain,
( ( ~ ( setIn @ nil @ alive ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(96,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
!= ( host @ Pid2 ) )
=> ( Pid != Pid2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(97,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(98,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(99,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Down @ X )
!= ( m_Down @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(100,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Ldr @ X )
!= ( m_Ldr @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(101,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(102,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(103,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(104,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(105,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(106,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(107,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(108,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(109,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(110,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(111,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(112,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(113,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(114,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(115,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(116,plain,
( ( elec_2 != norm )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(117,plain,
( ( elec_2 != wait )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(118,plain,
( ( elec_1 != elec_2 )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(119,plain,
( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(120,plain,
( ( ! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
= ( host @ Q ) )
=> ( ( host @ P )
!= ( host @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(121,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(122,plain,
( ( ! [SY131: $i,SY132: $i,SY133: $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 @ SY132 ) )
= ( cons @ ( m_Ack @ SY131 @ SY133 ) @ sK1_V ) ) )
=> ( ( setIn @ SY132 @ alive )
=> ( ( ( ( index @ elid @ ( host @ SY132 ) )
= SY131 )
& ( ( index @ status @ ( host @ SY132 ) )
= elec_2 )
& ( ( host @ SY133 )
= ( index @ pendack @ ( host @ SY132 ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ SY132 ) ) )
=> ! [SY153: $i] :
( ( ( setIn @ ( host @ SY153 ) @ ( index @ acks @ ( host @ SY132 ) ) )
| ( ( host @ SY153 )
= ( host @ SY133 ) ) )
=> ! [SY154: $i] :
( ( ( host @ SY153 )
= ( host @ SY154 ) )
=> ( ( ( host @ SY132 )
= ( host @ SY154 ) )
=> ! [SY155: $i,SY156: $i] :
( ( ( host @ SY153 )
!= ( host @ SY156 ) )
=> ( ( ( host @ SY132 )
!= ( host @ SY156 ) )
=> ! [SY157: $i] :
( ( ( ( host @ SY156 )
!= ( host @ SY154 ) )
& ( setIn @ SY154 @ alive )
& ( setIn @ SY156 @ alive )
& ( ( host @ SY155 )
= ( host @ SY154 ) )
& ( ( host @ SY157 )
= ( host @ SY156 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY155 ) @ ( queue @ ( host @ SY156 ) ) )
& ( elem @ ( m_Down @ SY157 ) @ ( snoc @ sK1_V @ ( m_Ldr @ SY132 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(123,plain,
( ( ! [SY158: $i,SY159: $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 @ SY158 ) )
= ( cons @ ( m_Ack @ sK2_SY131 @ SY159 ) @ sK1_V ) ) )
=> ( ( setIn @ SY158 @ alive )
=> ( ( ( ( index @ elid @ ( host @ SY158 ) )
= sK2_SY131 )
& ( ( index @ status @ ( host @ SY158 ) )
= elec_2 )
& ( ( host @ SY159 )
= ( index @ pendack @ ( host @ SY158 ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ SY158 ) ) )
=> ! [SY153: $i] :
( ( ( setIn @ ( host @ SY153 ) @ ( index @ acks @ ( host @ SY158 ) ) )
| ( ( host @ SY153 )
= ( host @ SY159 ) ) )
=> ! [SY154: $i] :
( ( ( host @ SY153 )
= ( host @ SY154 ) )
=> ( ( ( host @ SY158 )
= ( host @ SY154 ) )
=> ! [SY155: $i,SY156: $i] :
( ( ( host @ SY153 )
!= ( host @ SY156 ) )
=> ( ( ( host @ SY158 )
!= ( host @ SY156 ) )
=> ! [SY157: $i] :
( ( ( ( host @ SY156 )
!= ( host @ SY154 ) )
& ( setIn @ SY154 @ alive )
& ( setIn @ SY156 @ alive )
& ( ( host @ SY155 )
= ( host @ SY154 ) )
& ( ( host @ SY157 )
= ( host @ SY156 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY155 ) @ ( queue @ ( host @ SY156 ) ) )
& ( elem @ ( m_Down @ SY157 ) @ ( snoc @ sK1_V @ ( m_Ldr @ SY158 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(124,plain,
( ( ! [SY184: $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_SY158 ) )
= ( cons @ ( m_Ack @ sK2_SY131 @ SY184 ) @ sK1_V ) ) )
=> ( ( setIn @ sK3_SY158 @ alive )
=> ( ( ( ( index @ elid @ ( host @ sK3_SY158 ) )
= sK2_SY131 )
& ( ( index @ status @ ( host @ sK3_SY158 ) )
= elec_2 )
& ( ( host @ SY184 )
= ( index @ pendack @ ( host @ sK3_SY158 ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sK3_SY158 ) ) )
=> ! [SY204: $i] :
( ( ( setIn @ ( host @ SY204 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ SY204 )
= ( host @ SY184 ) ) )
=> ! [SY205: $i] :
( ( ( host @ SY204 )
= ( host @ SY205 ) )
=> ( ( ( host @ sK3_SY158 )
= ( host @ SY205 ) )
=> ! [SY206: $i,SY207: $i] :
( ( ( host @ SY204 )
!= ( host @ SY207 ) )
=> ( ( ( host @ sK3_SY158 )
!= ( host @ SY207 ) )
=> ! [SY208: $i] :
( ( ( ( host @ SY207 )
!= ( host @ SY205 ) )
& ( setIn @ SY205 @ alive )
& ( setIn @ SY207 @ alive )
& ( ( host @ SY206 )
= ( host @ SY205 ) )
& ( ( host @ SY208 )
= ( host @ SY207 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY206 ) @ ( queue @ ( host @ SY207 ) ) )
& ( elem @ ( m_Down @ SY208 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[123]) ).
thf(125,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_SY158 ) )
= ( cons @ ( m_Ack @ sK2_SY131 @ sK4_SY184 ) @ sK1_V ) ) )
=> ( ( setIn @ sK3_SY158 @ alive )
=> ( ( ( ( index @ elid @ ( host @ sK3_SY158 ) )
= sK2_SY131 )
& ( ( index @ status @ ( host @ sK3_SY158 ) )
= elec_2 )
& ( ( host @ sK4_SY184 )
= ( index @ pendack @ ( host @ sK3_SY158 ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sK3_SY158 ) ) )
=> ! [SY228: $i] :
( ( ( setIn @ ( host @ SY228 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ SY228 )
= ( host @ sK4_SY184 ) ) )
=> ! [SY205: $i] :
( ( ( host @ SY228 )
= ( host @ SY205 ) )
=> ( ( ( host @ sK3_SY158 )
= ( host @ SY205 ) )
=> ! [SY206: $i,SY207: $i] :
( ( ( host @ SY228 )
!= ( host @ SY207 ) )
=> ( ( ( host @ sK3_SY158 )
!= ( host @ SY207 ) )
=> ! [SY208: $i] :
( ( ( ( host @ SY207 )
!= ( host @ SY205 ) )
& ( setIn @ SY205 @ alive )
& ( setIn @ SY207 @ alive )
& ( ( host @ SY206 )
= ( host @ SY205 ) )
& ( ( host @ SY208 )
= ( host @ SY207 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY206 ) @ ( queue @ ( host @ SY207 ) ) )
& ( elem @ ( m_Down @ SY208 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(126,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(127,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(128,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(129,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(130,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)],[125]) ).
thf(131,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(132,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(133,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)],[125]) ).
thf(134,plain,
( ( ( queue @ ( host @ sK3_SY158 ) )
= ( cons @ ( m_Ack @ sK2_SY131 @ sK4_SY184 ) @ sK1_V ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(135,plain,
( ( setIn @ sK3_SY158 @ alive )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(136,plain,
( ( ( index @ elid @ ( host @ sK3_SY158 ) )
= sK2_SY131 )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(137,plain,
( ( ( index @ status @ ( host @ sK3_SY158 ) )
= elec_2 )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(138,plain,
( ( ( host @ sK4_SY184 )
= ( index @ pendack @ ( host @ sK3_SY158 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(139,plain,
( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sK3_SY158 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(140,plain,
( ( ! [SY228: $i] :
( ( ( setIn @ ( host @ SY228 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ SY228 )
= ( host @ sK4_SY184 ) ) )
=> ! [SY205: $i] :
( ( ( host @ SY228 )
= ( host @ SY205 ) )
=> ( ( ( host @ sK3_SY158 )
= ( host @ SY205 ) )
=> ! [SY206: $i,SY207: $i] :
( ( ( host @ SY228 )
!= ( host @ SY207 ) )
=> ( ( ( host @ sK3_SY158 )
!= ( host @ SY207 ) )
=> ! [SY208: $i] :
( ( ( ( host @ SY207 )
!= ( host @ SY205 ) )
& ( setIn @ SY205 @ alive )
& ( setIn @ SY207 @ alive )
& ( ( host @ SY206 )
= ( host @ SY205 ) )
& ( ( host @ SY208 )
= ( host @ SY207 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY206 ) @ ( queue @ ( host @ SY207 ) ) )
& ( elem @ ( m_Down @ SY208 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[125]) ).
thf(141,plain,
( ( ~ ! [SY228: $i] :
( ( ( setIn @ ( host @ SY228 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ SY228 )
= ( host @ sK4_SY184 ) ) )
=> ! [SY205: $i] :
( ( ( host @ SY228 )
= ( host @ SY205 ) )
=> ( ( ( host @ sK3_SY158 )
= ( host @ SY205 ) )
=> ! [SY206: $i,SY207: $i] :
( ( ( host @ SY228 )
!= ( host @ SY207 ) )
=> ( ( ( host @ sK3_SY158 )
!= ( host @ SY207 ) )
=> ! [SY208: $i] :
( ( ( ( host @ SY207 )
!= ( host @ SY205 ) )
& ( setIn @ SY205 @ alive )
& ( setIn @ SY207 @ alive )
& ( ( host @ SY206 )
= ( host @ SY205 ) )
& ( ( host @ SY208 )
= ( host @ SY207 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY206 ) @ ( queue @ ( host @ SY207 ) ) )
& ( elem @ ( m_Down @ SY208 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[140]) ).
thf(142,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
=> ( ( setIn @ Pid @ pids )
& ( setIn @ Pid2 @ pids ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(143,plain,
( ( ! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
= ( host @ Q ) )
=> ( ( host @ P )
!= ( host @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(144,plain,
( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(145,plain,
( ( elec_1 != elec_2 )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(146,plain,
( ( elec_2 != wait )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(147,plain,
( ( elec_2 != norm )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(148,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(149,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(150,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(151,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(152,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(153,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(154,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(155,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(156,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(157,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(158,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(159,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(160,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(161,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(162,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(163,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Ldr @ X )
!= ( m_Ldr @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(164,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Down @ X )
!= ( m_Down @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(165,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( X1 != X2 )
=> ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(166,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( Y1 != Y2 )
=> ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(167,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
!= ( host @ Pid2 ) )
=> ( Pid != Pid2 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(168,plain,
( ( ~ ( setIn @ nil @ alive ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(169,plain,
( ( ! [X: $i,Q: $i] :
( ( head @ ( cons @ X @ Q ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(170,plain,
( ( ! [X: $i,Q: $i] :
( ( tail @ ( cons @ X @ Q ) )
= Q ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(171,plain,
( ( ! [Y: $i,Q: $i] :
( ( last @ ( snoc @ Q @ Y ) )
= Y ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(172,plain,
( ( ! [Y: $i,Q: $i] :
( ( init @ ( snoc @ Q @ Y ) )
= Q ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(173,plain,
( ( ! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(174,plain,
( ( ! [Y: $i,Q: $i] :
( q_nil
!= ( snoc @ Q @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(175,plain,
( ( ! [X: $i] :
( ( cons @ X @ q_nil )
= ( snoc @ q_nil @ X ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(176,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( snoc @ ( cons @ X @ Q ) @ Y )
= ( cons @ X @ ( snoc @ Q @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(177,plain,
( ( ! [X: $i] :
~ ( elem @ X @ q_nil ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(178,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( cons @ Y @ Q ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(179,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( snoc @ Q @ Y ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(180,plain,
( ( ! [X: $i] :
( ( pidElem @ X )
<=> ? [Y: $i] :
( ( X
= ( m_Halt @ Y ) )
| ( X
= ( m_Down @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(181,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Halt @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(182,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Down @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(183,plain,
( ( ! [Q: $i,X: $i,Y: $i] :
( ( ordered @ Q )
=> ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(184,plain,
( ( ! [Q: $i,X: $i] :
( ( ordered @ Q )
=> ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(185,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(186,plain,
( ( ! [X: $i] :
~ ( leq @ ( s @ X ) @ X ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(187,plain,
( ( ! [X: $i] : ( leq @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(188,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
| ( leq @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(189,plain,
( ( ! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
<=> ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(190,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ Z ) )
=> ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(191,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(192,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ ( s @ Y ) )
<=> ( ( X
= ( s @ Y ) )
| ( leq @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(193,plain,
( ( ! [X: $i] :
~ ( setIn @ X @ setEmpty ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(194,plain,
( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sK3_SY158 ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(195,plain,
( ( ( host @ sK4_SY184 )
= ( index @ pendack @ ( host @ sK3_SY158 ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(196,plain,
( ( ( index @ status @ ( host @ sK3_SY158 ) )
= elec_2 )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(197,plain,
( ( ( index @ elid @ ( host @ sK3_SY158 ) )
= sK2_SY131 )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(198,plain,
( ( setIn @ sK3_SY158 @ alive )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(199,plain,
( ( ( queue @ ( host @ sK3_SY158 ) )
= ( cons @ ( m_Ack @ sK2_SY131 @ sK4_SY184 ) @ sK1_V ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(200,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)],[133]) ).
thf(201,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(202,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(203,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)],[130]) ).
thf(204,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(205,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(206,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(207,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(208,plain,
( ( ~ ! [SY228: $i] :
( ( ( setIn @ ( host @ SY228 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ SY228 )
= ( host @ sK4_SY184 ) ) )
=> ! [SY205: $i] :
( ( ( host @ SY228 )
= ( host @ SY205 ) )
=> ( ( ( host @ sK3_SY158 )
= ( host @ SY205 ) )
=> ! [SY206: $i,SY207: $i] :
( ( ( host @ SY228 )
!= ( host @ SY207 ) )
=> ( ( ( host @ sK3_SY158 )
!= ( host @ SY207 ) )
=> ! [SY208: $i] :
( ( ( ( host @ SY207 )
!= ( host @ SY205 ) )
& ( setIn @ SY205 @ alive )
& ( setIn @ SY207 @ alive )
& ( ( host @ SY206 )
= ( host @ SY205 ) )
& ( ( host @ SY208 )
= ( host @ SY207 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY206 ) @ ( queue @ ( host @ SY207 ) ) )
& ( elem @ ( m_Down @ SY208 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(209,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_Down @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(210,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ( SX0 != SX1 ) )
| ( ( m_Ldr @ SX0 )
!= ( m_Ldr @ SX1 ) ) )
| ~ ( ~ ( ( ( m_Ldr @ SX0 )
!= ( m_Ldr @ SX1 ) ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(211,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)],[191]) ).
thf(212,plain,
( ( ! [SX0: $i,SX1: $i] :
( q_nil
!= ( cons @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(213,plain,
( ( elec_2 != norm )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(214,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)],[178]) ).
thf(215,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_NormQ @ SX0 )
!= ( m_Halt @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(216,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_Ldr @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(217,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Down @ SX0 )
!= ( m_Halt @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(218,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Down @ SX0 )
!= ( m_Ldr @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(219,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)],[165]) ).
thf(220,plain,
( ( elec_2 != wait )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(221,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SX0 @ alive )
| ~ ( leq @ SX1 @ SX0 ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) )
| ~ ( setIn @ SX1 @ alive ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(222,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Down @ SX0 )
!= ( m_NotNorm @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(223,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ( ( host @ SX0 )
!= ( host @ SX1 ) ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(224,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX2 ) )
| ( leq @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(225,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)],[203]) ).
thf(226,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( ( SX1 != SX0 ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) )
| ~ ( setIn @ SX0 @ alive )
| ~ ( setIn @ SX1 @ alive ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(227,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)],[164]) ).
thf(228,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ~ ( setIn @ SX1 @ alive ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(229,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)],[185]) ).
thf(230,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)],[200]) ).
thf(231,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)],[166]) ).
thf(232,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)],[179]) ).
thf(233,plain,
( ( ! [SX0: $i,SX1: $i] :
( q_nil
!= ( snoc @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(234,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( setIn @ SX1 @ alive )
| ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(235,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_NotNorm @ SX0 )
!= ( m_Halt @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(236,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(237,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ SX0 )
| ( ordered @ ( snoc @ SX0 @ ( m_Ldr @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(238,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_Halt @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(239,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ordered @ SX0 )
| ( ordered @ ( snoc @ SX0 @ ( m_Ack @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(240,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Down @ SX0 )
!= ( m_NormQ @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(241,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)],[142]) ).
thf(242,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Ldr @ SX0 )
!= ( m_NotNorm @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(243,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_NotNorm @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(244,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ( setIn @ ( host @ SX0 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ SX0 )
= ( host @ sK4_SY184 ) ) )
| ! [SX1: $i] :
( ( ( host @ SX0 )
!= ( host @ SX1 ) )
| ( ( host @ sK3_SY158 )
!= ( host @ SX1 ) )
| ! [SX2: $i,SX3: $i] :
( ~ ( ( ( host @ SX0 )
!= ( host @ SX3 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ SX3 ) ) )
| ! [SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SX3 )
!= ( host @ SX1 ) ) )
| ~ ( setIn @ SX1 @ alive ) )
| ~ ( setIn @ SX3 @ alive ) )
| ( ( host @ SX2 )
!= ( host @ SX1 ) ) )
| ( ( host @ SX4 )
!= ( host @ SX3 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SX2 ) @ ( queue @ ( host @ SX3 ) ) )
| ~ ( elem @ ( m_Down @ SX4 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(245,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( s @ ( host @ SX0 ) )
!= ( host @ SX1 ) )
| ( ( host @ SX0 )
!= ( host @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(246,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)],[192]) ).
thf(247,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Ldr @ SX0 )
!= ( m_Halt @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(248,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Halt @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ~ ( leq @ ( host @ SX0 ) @ ( host @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(249,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( m_Ldr @ SX0 )
!= ( m_NormQ @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(250,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( ( host @ SX1 )
!= ( host @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(251,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( m_Ack @ SX0 @ SX1 )
!= ( m_NormQ @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(252,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)],[180]) ).
thf(253,plain,
( ( elec_1 != elec_2 )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(254,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)],[189]) ).
thf(255,plain,
! [SV1: $i] :
( ( leq @ ( host @ SV1 ) @ nbr_proc )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(256,plain,
( ( setIn @ nil @ alive )
= $false ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(257,plain,
! [SV2: $i] :
( ( ! [SY233: $i] :
( ( head @ ( cons @ SV2 @ SY233 ) )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(258,plain,
! [SV3: $i] :
( ( ! [SY234: $i] :
( ( tail @ ( cons @ SV3 @ SY234 ) )
= SY234 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(259,plain,
! [SV4: $i] :
( ( ! [SY235: $i] :
( ( last @ ( snoc @ SY235 @ SV4 ) )
= SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(260,plain,
! [SV5: $i] :
( ( ! [SY236: $i] :
( ( init @ ( snoc @ SY236 @ SV5 ) )
= SY236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(261,plain,
! [SV6: $i] :
( ( ( cons @ SV6 @ q_nil )
= ( snoc @ q_nil @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(262,plain,
! [SV7: $i] :
( ( ! [SY237: $i,SY238: $i] :
( ( snoc @ ( cons @ SV7 @ SY238 ) @ SY237 )
= ( cons @ SV7 @ ( snoc @ SY238 @ SY237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(263,plain,
! [SV8: $i] :
( ( ~ ( elem @ SV8 @ q_nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(264,plain,
! [SV9: $i] :
( ( ( pidMsg @ ( m_Halt @ SV9 ) )
= SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(265,plain,
! [SV10: $i] :
( ( ( pidMsg @ ( m_Down @ SV10 ) )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(266,plain,
! [SV11: $i] :
( ( ~ ( leq @ ( s @ SV11 ) @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(267,plain,
! [SV12: $i] :
( ( leq @ SV12 @ SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(268,plain,
! [SV13: $i] :
( ( ! [SY239: $i] :
( ( leq @ SV13 @ SY239 )
| ( leq @ SY239 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(269,plain,
! [SV14: $i] :
( ( ~ ( setIn @ SV14 @ setEmpty ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(270,plain,
! [SV15: $i] :
( ( ! [SY240: $i,SY241: $i] :
( ( m_Ack @ SV15 @ SY240 )
!= ( m_Down @ SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(271,plain,
! [SV16: $i] :
( ( ! [SY242: $i] :
~ ( ~ ( ~ ( ( SV16 != SY242 ) )
| ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SY242 ) ) )
| ~ ( ~ ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SY242 ) ) )
| ( SV16 != SY242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(272,plain,
! [SV17: $i] :
( ( ! [SY243: $i] :
~ ( ~ ( ~ ( leq @ SV17 @ SY243 )
| ( leq @ ( s @ SV17 ) @ ( s @ SY243 ) ) )
| ~ ( ~ ( leq @ ( s @ SV17 ) @ ( s @ SY243 ) )
| ( leq @ SV17 @ SY243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(273,plain,
! [SV18: $i] :
( ( ! [SY244: $i] :
( q_nil
!= ( cons @ SV18 @ SY244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(274,plain,
( ( elec_2 = norm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(275,plain,
! [SV19: $i] :
( ( ! [SY245: $i,SY246: $i] :
~ ( ~ ( ~ ( elem @ SV19 @ ( cons @ SY245 @ SY246 ) )
| ( SV19 = SY245 )
| ( elem @ SV19 @ SY246 ) )
| ~ ( ~ ( ( SV19 = SY245 )
| ( elem @ SV19 @ SY246 ) )
| ( elem @ SV19 @ ( cons @ SY245 @ SY246 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(276,plain,
! [SV20: $i] :
( ( ! [SY247: $i] :
( ( m_NormQ @ SV20 )
!= ( m_Halt @ SY247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(277,plain,
! [SV21: $i] :
( ( ! [SY248: $i,SY249: $i] :
( ( m_Ack @ SV21 @ SY248 )
!= ( m_Ldr @ SY249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(278,plain,
! [SV22: $i] :
( ( ! [SY250: $i] :
( ( m_Down @ SV22 )
!= ( m_Halt @ SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(279,plain,
! [SV23: $i] :
( ( ! [SY251: $i] :
( ( m_Down @ SV23 )
!= ( m_Ldr @ SY251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(280,plain,
! [SV24: $i] :
( ( ! [SY252: $i,SY253: $i,SY254: $i] :
( ~ ( ( SV24 != SY252 ) )
| ( ( m_Ack @ SV24 @ SY253 )
!= ( m_Ack @ SY252 @ SY254 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(281,plain,
( ( elec_2 = wait )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(282,plain,
! [SV25: $i] :
( ( ! [SY255: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV25 @ alive )
| ~ ( leq @ SY255 @ SV25 ) )
| ( ( host @ SY255 )
!= ( host @ SV25 ) ) )
| ~ ( setIn @ SY255 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(283,plain,
! [SV26: $i] :
( ( ! [SY256: $i] :
( ( m_Down @ SV26 )
!= ( m_NotNorm @ SY256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(284,plain,
! [SV27: $i] :
( ( ! [SY257: $i] :
( ~ ( ( ( host @ SV27 )
!= ( host @ SY257 ) ) )
| ( SV27 != SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(285,plain,
! [SV28: $i] :
( ( ! [SY258: $i,SY259: $i] :
( ~ ~ ( ~ ( leq @ SV28 @ SY258 )
| ~ ( leq @ SY258 @ SY259 ) )
| ( leq @ SV28 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(286,plain,
! [SV29: $i] :
( ( ! [SY260: $i,SY261: $i] :
( ~ ( elem @ ( m_Ack @ SY261 @ SV29 ) @ ( queue @ ( host @ SY260 ) ) )
| ~ ( leq @ ( host @ SV29 ) @ ( host @ SY261 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(287,plain,
! [SV30: $i] :
( ( ! [SY262: $i] :
( ~ ~ ( ~ ( ( SY262 != SV30 ) )
| ( ( host @ SY262 )
!= ( host @ SV30 ) ) )
| ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SY262 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(288,plain,
! [SV31: $i] :
( ( ! [SY263: $i] :
~ ( ~ ( ~ ( ( SV31 != SY263 ) )
| ( ( m_Down @ SV31 )
!= ( m_Down @ SY263 ) ) )
| ~ ( ~ ( ( ( m_Down @ SV31 )
!= ( m_Down @ SY263 ) ) )
| ( SV31 != SY263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(289,plain,
! [SV32: $i] :
( ( ! [SY264: $i] :
( ~ ( elem @ ( m_Down @ SY264 ) @ ( queue @ ( host @ SV32 ) ) )
| ~ ( setIn @ SY264 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(290,plain,
! [SV33: $i] :
( ( ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SY265 ) @ SV33 ) )
| ( ( host @ SY265 )
!= ( host @ SY266 ) ) )
| ~ ( elem @ ( m_Down @ SY266 ) @ SV33 ) )
| ( leq @ SY265 @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(291,plain,
! [SV34: $i] :
( ( ! [SY267: $i,SY268: $i,SY269: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY268 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SY268 @ alive ) )
| ( ( host @ SY267 )
!= ( host @ SV34 ) ) )
| ( ( host @ SY269 )
!= ( host @ SY268 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY269 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SY267 ) @ ( queue @ ( host @ SY268 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(292,plain,
! [SV35: $i] :
( ( ! [SY270: $i,SY271: $i,SY272: $i] :
( ~ ( ( SY271 != SY272 ) )
| ( ( m_Ack @ SV35 @ SY271 )
!= ( m_Ack @ SY270 @ SY272 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(293,plain,
! [SV36: $i] :
( ( ! [SY273: $i,SY274: $i] :
~ ( ~ ( ~ ( elem @ SV36 @ ( snoc @ SY274 @ SY273 ) )
| ( SV36 = SY273 )
| ( elem @ SV36 @ SY274 ) )
| ~ ( ~ ( ( SV36 = SY273 )
| ( elem @ SV36 @ SY274 ) )
| ( elem @ SV36 @ ( snoc @ SY274 @ SY273 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(294,plain,
! [SV37: $i] :
( ( ! [SY275: $i] :
( q_nil
!= ( snoc @ SY275 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(295,plain,
! [SV38: $i] :
( ( ! [SY276: $i] :
( ~ ( setIn @ SY276 @ alive )
| ~ ( elem @ ( m_Down @ SY276 ) @ ( queue @ ( host @ SV38 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(296,plain,
! [SV39: $i] :
( ( ! [SY277: $i] :
( ( m_NotNorm @ SV39 )
!= ( m_Halt @ SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(297,plain,
! [SV40: $i] :
( ( ! [SY278: $i] :
~ ( ~ ( ~ ( ( SV40 != SY278 ) )
| ( ( m_Halt @ SV40 )
!= ( m_Halt @ SY278 ) ) )
| ~ ( ~ ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SY278 ) ) )
| ( SV40 != SY278 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(298,plain,
! [SV41: $i] :
( ( ! [SY279: $i] :
( ~ ( ordered @ SV41 )
| ( ordered @ ( snoc @ SV41 @ ( m_Ldr @ SY279 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(299,plain,
! [SV42: $i] :
( ( ! [SY280: $i,SY281: $i] :
( ( m_Ack @ SV42 @ SY280 )
!= ( m_Halt @ SY281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(300,plain,
! [SV43: $i] :
( ( ! [SY282: $i,SY283: $i] :
( ~ ( ordered @ SV43 )
| ( ordered @ ( snoc @ SV43 @ ( m_Ack @ SY282 @ SY283 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(301,plain,
! [SV44: $i] :
( ( ! [SY284: $i] :
( ( m_Down @ SV44 )
!= ( m_NormQ @ SY284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(302,plain,
! [SV45: $i] :
( ( ! [SY285: $i] :
( ~ ( elem @ ( m_Ack @ SV45 @ SY285 ) @ ( queue @ ( host @ SV45 ) ) )
| ~ ( ~ ( setIn @ SV45 @ pids )
| ~ ( setIn @ SY285 @ pids ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(303,plain,
! [SV46: $i] :
( ( ! [SY286: $i] :
( ( m_Ldr @ SV46 )
!= ( m_NotNorm @ SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(304,plain,
! [SV47: $i] :
( ( ! [SY287: $i,SY288: $i] :
( ( m_Ack @ SV47 @ SY287 )
!= ( m_NotNorm @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(305,plain,
( ( ! [SX0: $i] :
( ~ ( ( setIn @ ( host @ SX0 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ SX0 )
= ( host @ sK4_SY184 ) ) )
| ! [SX1: $i] :
( ( ( host @ SX0 )
!= ( host @ SX1 ) )
| ( ( host @ sK3_SY158 )
!= ( host @ SX1 ) )
| ! [SX2: $i,SX3: $i] :
( ~ ( ( ( host @ SX0 )
!= ( host @ SX3 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ SX3 ) ) )
| ! [SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SX3 )
!= ( host @ SX1 ) ) )
| ~ ( setIn @ SX1 @ alive ) )
| ~ ( setIn @ SX3 @ alive ) )
| ( ( host @ SX2 )
!= ( host @ SX1 ) ) )
| ( ( host @ SX4 )
!= ( host @ SX3 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SX2 ) @ ( queue @ ( host @ SX3 ) ) )
| ~ ( elem @ ( m_Down @ SX4 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(306,plain,
! [SV48: $i] :
( ( ! [SY289: $i] :
( ( ( s @ ( host @ SV48 ) )
!= ( host @ SY289 ) )
| ( ( host @ SV48 )
!= ( host @ SY289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(307,plain,
! [SV49: $i] :
( ( ! [SY290: $i] :
~ ( ~ ( ~ ( leq @ SV49 @ ( s @ SY290 ) )
| ( SV49
= ( s @ SY290 ) )
| ( leq @ SV49 @ SY290 ) )
| ~ ( ~ ( ( SV49
= ( s @ SY290 ) )
| ( leq @ SV49 @ SY290 ) )
| ( leq @ SV49 @ ( s @ SY290 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(308,plain,
! [SV50: $i] :
( ( ! [SY291: $i] :
( ( m_Ldr @ SV50 )
!= ( m_Halt @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(309,plain,
! [SV51: $i] :
( ( ! [SY292: $i] :
( ~ ( elem @ ( m_Halt @ SY292 ) @ ( queue @ ( host @ SV51 ) ) )
| ~ ( leq @ ( host @ SV51 ) @ ( host @ SY292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(310,plain,
! [SV52: $i] :
( ( ! [SY293: $i] :
( ( m_Ldr @ SV52 )
!= ( m_NormQ @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(311,plain,
! [SV53: $i] :
( ( ! [SY294: $i] :
( ~ ( elem @ ( m_Down @ SY294 ) @ ( queue @ ( host @ SV53 ) ) )
| ( ( host @ SY294 )
!= ( host @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(312,plain,
! [SV54: $i] :
( ( ! [SY295: $i,SY296: $i] :
( ( m_Ack @ SV54 @ SY295 )
!= ( m_NormQ @ SY296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(313,plain,
! [SV55: $i] :
( ( ~ ( ~ ( ~ ( pidElem @ SV55 )
| ~ ! [SY297: $i] :
~ ( ( SV55
= ( m_Halt @ SY297 ) )
| ( SV55
= ( m_Down @ SY297 ) ) ) )
| ~ ( ~ ~ ! [SY298: $i] :
~ ( ( SV55
= ( m_Halt @ SY298 ) )
| ( SV55
= ( m_Down @ SY298 ) ) )
| ( pidElem @ SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(314,plain,
( ( elec_1 = elec_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(315,plain,
! [SV56: $i] :
( ( ! [SY299: $i] :
~ ( ~ ( ~ ~ ( ~ ( leq @ SV56 @ SY299 )
| ~ ( leq @ SY299 @ SV56 ) )
| ( SV56 = SY299 ) )
| ~ ( ( SV56 != SY299 )
| ~ ( ~ ( leq @ SV56 @ SY299 )
| ~ ( leq @ SY299 @ SV56 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(316,plain,
! [SV57: $i,SV2: $i] :
( ( ( head @ ( cons @ SV2 @ SV57 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(317,plain,
! [SV58: $i,SV3: $i] :
( ( ( tail @ ( cons @ SV3 @ SV58 ) )
= SV58 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(318,plain,
! [SV4: $i,SV59: $i] :
( ( ( last @ ( snoc @ SV59 @ SV4 ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(319,plain,
! [SV5: $i,SV60: $i] :
( ( ( init @ ( snoc @ SV60 @ SV5 ) )
= SV60 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(320,plain,
! [SV61: $i,SV7: $i] :
( ( ! [SY300: $i] :
( ( snoc @ ( cons @ SV7 @ SY300 ) @ SV61 )
= ( cons @ SV7 @ ( snoc @ SY300 @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(321,plain,
! [SV8: $i] :
( ( elem @ SV8 @ q_nil )
= $false ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(322,plain,
! [SV11: $i] :
( ( leq @ ( s @ SV11 ) @ SV11 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(323,plain,
! [SV62: $i,SV13: $i] :
( ( ( leq @ SV13 @ SV62 )
| ( leq @ SV62 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(324,plain,
! [SV14: $i] :
( ( setIn @ SV14 @ setEmpty )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(325,plain,
! [SV63: $i,SV15: $i] :
( ( ! [SY301: $i] :
( ( m_Ack @ SV15 @ SV63 )
!= ( m_Down @ SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(326,plain,
! [SV64: $i,SV16: $i] :
( ( ~ ( ~ ( ~ ( ( SV16 != SV64 ) )
| ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) )
| ~ ( ~ ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) )
| ( SV16 != SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(327,plain,
! [SV65: $i,SV17: $i] :
( ( ~ ( ~ ( ~ ( leq @ SV17 @ SV65 )
| ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) ) )
| ~ ( ~ ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) )
| ( leq @ SV17 @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(328,plain,
! [SV66: $i,SV18: $i] :
( ( q_nil
!= ( cons @ SV18 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(329,plain,
! [SV67: $i,SV19: $i] :
( ( ! [SY302: $i] :
~ ( ~ ( ~ ( elem @ SV19 @ ( cons @ SV67 @ SY302 ) )
| ( SV19 = SV67 )
| ( elem @ SV19 @ SY302 ) )
| ~ ( ~ ( ( SV19 = SV67 )
| ( elem @ SV19 @ SY302 ) )
| ( elem @ SV19 @ ( cons @ SV67 @ SY302 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(330,plain,
! [SV68: $i,SV20: $i] :
( ( ( m_NormQ @ SV20 )
!= ( m_Halt @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(331,plain,
! [SV69: $i,SV21: $i] :
( ( ! [SY303: $i] :
( ( m_Ack @ SV21 @ SV69 )
!= ( m_Ldr @ SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(332,plain,
! [SV70: $i,SV22: $i] :
( ( ( m_Down @ SV22 )
!= ( m_Halt @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(333,plain,
! [SV71: $i,SV23: $i] :
( ( ( m_Down @ SV23 )
!= ( m_Ldr @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(334,plain,
! [SV72: $i,SV24: $i] :
( ( ! [SY304: $i,SY305: $i] :
( ~ ( ( SV24 != SV72 ) )
| ( ( m_Ack @ SV24 @ SY304 )
!= ( m_Ack @ SV72 @ SY305 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(335,plain,
! [SV73: $i,SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV25 @ alive )
| ~ ( leq @ SV73 @ SV25 ) )
| ( ( host @ SV73 )
!= ( host @ SV25 ) ) )
| ~ ( setIn @ SV73 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(336,plain,
! [SV74: $i,SV26: $i] :
( ( ( m_Down @ SV26 )
!= ( m_NotNorm @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(337,plain,
! [SV75: $i,SV27: $i] :
( ( ~ ( ( ( host @ SV27 )
!= ( host @ SV75 ) ) )
| ( SV27 != SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(338,plain,
! [SV76: $i,SV28: $i] :
( ( ! [SY306: $i] :
( ~ ~ ( ~ ( leq @ SV28 @ SV76 )
| ~ ( leq @ SV76 @ SY306 ) )
| ( leq @ SV28 @ SY306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(339,plain,
! [SV77: $i,SV29: $i] :
( ( ! [SY307: $i] :
( ~ ( elem @ ( m_Ack @ SY307 @ SV29 ) @ ( queue @ ( host @ SV77 ) ) )
| ~ ( leq @ ( host @ SV29 ) @ ( host @ SY307 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(340,plain,
! [SV30: $i,SV78: $i] :
( ( ~ ~ ( ~ ( ( SV78 != SV30 ) )
| ( ( host @ SV78 )
!= ( host @ SV30 ) ) )
| ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SV78 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(341,plain,
! [SV79: $i,SV31: $i] :
( ( ~ ( ~ ( ~ ( ( SV31 != SV79 ) )
| ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) )
| ~ ( ~ ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) )
| ( SV31 != SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(342,plain,
! [SV32: $i,SV80: $i] :
( ( ~ ( elem @ ( m_Down @ SV80 ) @ ( queue @ ( host @ SV32 ) ) )
| ~ ( setIn @ SV80 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(343,plain,
! [SV33: $i,SV81: $i] :
( ( ! [SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
| ( ( host @ SV81 )
!= ( host @ SY308 ) ) )
| ~ ( elem @ ( m_Down @ SY308 ) @ SV33 ) )
| ( leq @ SV81 @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(344,plain,
! [SV82: $i,SV34: $i] :
( ( ! [SY309: $i,SY310: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY309 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SY309 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) )
| ( ( host @ SY310 )
!= ( host @ SY309 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY310 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SY309 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(345,plain,
! [SV83: $i,SV35: $i] :
( ( ! [SY311: $i,SY312: $i] :
( ~ ( ( SY311 != SY312 ) )
| ( ( m_Ack @ SV35 @ SY311 )
!= ( m_Ack @ SV83 @ SY312 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(346,plain,
! [SV84: $i,SV36: $i] :
( ( ! [SY313: $i] :
~ ( ~ ( ~ ( elem @ SV36 @ ( snoc @ SY313 @ SV84 ) )
| ( SV36 = SV84 )
| ( elem @ SV36 @ SY313 ) )
| ~ ( ~ ( ( SV36 = SV84 )
| ( elem @ SV36 @ SY313 ) )
| ( elem @ SV36 @ ( snoc @ SY313 @ SV84 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(347,plain,
! [SV37: $i,SV85: $i] :
( ( q_nil
!= ( snoc @ SV85 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(348,plain,
! [SV38: $i,SV86: $i] :
( ( ~ ( setIn @ SV86 @ alive )
| ~ ( elem @ ( m_Down @ SV86 ) @ ( queue @ ( host @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(349,plain,
! [SV87: $i,SV39: $i] :
( ( ( m_NotNorm @ SV39 )
!= ( m_Halt @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(350,plain,
! [SV88: $i,SV40: $i] :
( ( ~ ( ~ ( ~ ( ( SV40 != SV88 ) )
| ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) )
| ~ ( ~ ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) )
| ( SV40 != SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(351,plain,
! [SV89: $i,SV41: $i] :
( ( ~ ( ordered @ SV41 )
| ( ordered @ ( snoc @ SV41 @ ( m_Ldr @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(352,plain,
! [SV90: $i,SV42: $i] :
( ( ! [SY314: $i] :
( ( m_Ack @ SV42 @ SV90 )
!= ( m_Halt @ SY314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(353,plain,
! [SV91: $i,SV43: $i] :
( ( ! [SY315: $i] :
( ~ ( ordered @ SV43 )
| ( ordered @ ( snoc @ SV43 @ ( m_Ack @ SV91 @ SY315 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(354,plain,
! [SV92: $i,SV44: $i] :
( ( ( m_Down @ SV44 )
!= ( m_NormQ @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(355,plain,
! [SV93: $i,SV45: $i] :
( ( ~ ( elem @ ( m_Ack @ SV45 @ SV93 ) @ ( queue @ ( host @ SV45 ) ) )
| ~ ( ~ ( setIn @ SV45 @ pids )
| ~ ( setIn @ SV93 @ pids ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(356,plain,
! [SV94: $i,SV46: $i] :
( ( ( m_Ldr @ SV46 )
!= ( m_NotNorm @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(357,plain,
! [SV95: $i,SV47: $i] :
( ( ! [SY316: $i] :
( ( m_Ack @ SV47 @ SV95 )
!= ( m_NotNorm @ SY316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(358,plain,
( ( ~ ( ( setIn @ ( host @ sK5_SX0 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ sK5_SX0 )
= ( host @ sK4_SY184 ) ) )
| ! [SY317: $i] :
( ( ( host @ sK5_SX0 )
!= ( host @ SY317 ) )
| ( ( host @ sK3_SY158 )
!= ( host @ SY317 ) )
| ! [SY318: $i,SY319: $i] :
( ~ ( ( ( host @ sK5_SX0 )
!= ( host @ SY319 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ SY319 ) ) )
| ! [SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY319 )
!= ( host @ SY317 ) ) )
| ~ ( setIn @ SY317 @ alive ) )
| ~ ( setIn @ SY319 @ alive ) )
| ( ( host @ SY318 )
!= ( host @ SY317 ) ) )
| ( ( host @ SX4 )
!= ( host @ SY319 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY318 ) @ ( queue @ ( host @ SY319 ) ) )
| ~ ( elem @ ( m_Down @ SX4 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[305]) ).
thf(359,plain,
! [SV96: $i,SV48: $i] :
( ( ( ( s @ ( host @ SV48 ) )
!= ( host @ SV96 ) )
| ( ( host @ SV48 )
!= ( host @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(360,plain,
! [SV97: $i,SV49: $i] :
( ( ~ ( ~ ( ~ ( leq @ SV49 @ ( s @ SV97 ) )
| ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
| ~ ( ~ ( ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
| ( leq @ SV49 @ ( s @ SV97 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(361,plain,
! [SV98: $i,SV50: $i] :
( ( ( m_Ldr @ SV50 )
!= ( m_Halt @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(362,plain,
! [SV51: $i,SV99: $i] :
( ( ~ ( elem @ ( m_Halt @ SV99 ) @ ( queue @ ( host @ SV51 ) ) )
| ~ ( leq @ ( host @ SV51 ) @ ( host @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(363,plain,
! [SV100: $i,SV52: $i] :
( ( ( m_Ldr @ SV52 )
!= ( m_NormQ @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(364,plain,
! [SV53: $i,SV101: $i] :
( ( ~ ( elem @ ( m_Down @ SV101 ) @ ( queue @ ( host @ SV53 ) ) )
| ( ( host @ SV101 )
!= ( host @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(365,plain,
! [SV102: $i,SV54: $i] :
( ( ! [SY321: $i] :
( ( m_Ack @ SV54 @ SV102 )
!= ( m_NormQ @ SY321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(366,plain,
! [SV55: $i] :
( ( ~ ( ~ ( pidElem @ SV55 )
| ~ ! [SY297: $i] :
~ ( ( SV55
= ( m_Halt @ SY297 ) )
| ( SV55
= ( m_Down @ SY297 ) ) ) )
| ~ ( ~ ~ ! [SY298: $i] :
~ ( ( SV55
= ( m_Halt @ SY298 ) )
| ( SV55
= ( m_Down @ SY298 ) ) )
| ( pidElem @ SV55 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(367,plain,
! [SV103: $i,SV56: $i] :
( ( ~ ( ~ ( ~ ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) )
| ( SV56 = SV103 ) )
| ~ ( ( SV56 != SV103 )
| ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(368,plain,
! [SV61: $i,SV104: $i,SV7: $i] :
( ( ( snoc @ ( cons @ SV7 @ SV104 ) @ SV61 )
= ( cons @ SV7 @ ( snoc @ SV104 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(369,plain,
! [SV62: $i,SV13: $i] :
( ( ( leq @ SV13 @ SV62 )
= $true )
| ( ( leq @ SV62 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(370,plain,
! [SV105: $i,SV63: $i,SV15: $i] :
( ( ( m_Ack @ SV15 @ SV63 )
!= ( m_Down @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(371,plain,
! [SV64: $i,SV16: $i] :
( ( ~ ( ~ ( ( SV16 != SV64 ) )
| ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) )
| ~ ( ~ ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) )
| ( SV16 != SV64 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(372,plain,
! [SV65: $i,SV17: $i] :
( ( ~ ( ~ ( leq @ SV17 @ SV65 )
| ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) ) )
| ~ ( ~ ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) )
| ( leq @ SV17 @ SV65 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(373,plain,
! [SV66: $i,SV18: $i] :
( ( q_nil
= ( cons @ SV18 @ SV66 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(374,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ~ ( ~ ( ~ ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
| ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
| ~ ( ~ ( ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
| ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(375,plain,
! [SV68: $i,SV20: $i] :
( ( ( m_NormQ @ SV20 )
= ( m_Halt @ SV68 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(376,plain,
! [SV107: $i,SV69: $i,SV21: $i] :
( ( ( m_Ack @ SV21 @ SV69 )
!= ( m_Ldr @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(377,plain,
! [SV70: $i,SV22: $i] :
( ( ( m_Down @ SV22 )
= ( m_Halt @ SV70 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(378,plain,
! [SV71: $i,SV23: $i] :
( ( ( m_Down @ SV23 )
= ( m_Ldr @ SV71 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(379,plain,
! [SV108: $i,SV72: $i,SV24: $i] :
( ( ! [SY322: $i] :
( ~ ( ( SV24 != SV72 ) )
| ( ( m_Ack @ SV24 @ SV108 )
!= ( m_Ack @ SV72 @ SY322 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(380,plain,
! [SV73: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV25 @ alive )
| ~ ( leq @ SV73 @ SV25 ) )
| ( ( host @ SV73 )
!= ( host @ SV25 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(381,plain,
! [SV74: $i,SV26: $i] :
( ( ( m_Down @ SV26 )
= ( m_NotNorm @ SV74 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(382,plain,
! [SV75: $i,SV27: $i] :
( ( ( ~ ( ( ( host @ SV27 )
!= ( host @ SV75 ) ) ) )
= $true )
| ( ( SV27 != SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(383,plain,
! [SV109: $i,SV76: $i,SV28: $i] :
( ( ~ ~ ( ~ ( leq @ SV28 @ SV76 )
| ~ ( leq @ SV76 @ SV109 ) )
| ( leq @ SV28 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(384,plain,
! [SV77: $i,SV29: $i,SV110: $i] :
( ( ~ ( elem @ ( m_Ack @ SV110 @ SV29 ) @ ( queue @ ( host @ SV77 ) ) )
| ~ ( leq @ ( host @ SV29 ) @ ( host @ SV110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(385,plain,
! [SV30: $i,SV78: $i] :
( ( ( ~ ~ ( ~ ( ( SV78 != SV30 ) )
| ( ( host @ SV78 )
!= ( host @ SV30 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SV78 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(386,plain,
! [SV79: $i,SV31: $i] :
( ( ~ ( ~ ( ( SV31 != SV79 ) )
| ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) )
| ~ ( ~ ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) )
| ( SV31 != SV79 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(387,plain,
! [SV32: $i,SV80: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV80 ) @ ( queue @ ( host @ SV32 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV80 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(388,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
| ( ( host @ SV81 )
!= ( host @ SV111 ) ) )
| ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) )
| ( leq @ SV81 @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(389,plain,
! [SV82: $i,SV34: $i,SV112: $i] :
( ( ! [SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) )
| ( ( host @ SY323 )
!= ( host @ SV112 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY323 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(390,plain,
! [SV83: $i,SV35: $i,SV113: $i] :
( ( ! [SY324: $i] :
( ~ ( ( SV113 != SY324 ) )
| ( ( m_Ack @ SV35 @ SV113 )
!= ( m_Ack @ SV83 @ SY324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(391,plain,
! [SV84: $i,SV114: $i,SV36: $i] :
( ( ~ ( ~ ( ~ ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
| ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
| ~ ( ~ ( ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
| ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(392,plain,
! [SV37: $i,SV85: $i] :
( ( q_nil
= ( snoc @ SV85 @ SV37 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(393,plain,
! [SV38: $i,SV86: $i] :
( ( ( ~ ( setIn @ SV86 @ alive ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV86 ) @ ( queue @ ( host @ SV38 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(394,plain,
! [SV87: $i,SV39: $i] :
( ( ( m_NotNorm @ SV39 )
= ( m_Halt @ SV87 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(395,plain,
! [SV88: $i,SV40: $i] :
( ( ~ ( ~ ( ( SV40 != SV88 ) )
| ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) )
| ~ ( ~ ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) )
| ( SV40 != SV88 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(396,plain,
! [SV89: $i,SV41: $i] :
( ( ( ~ ( ordered @ SV41 ) )
= $true )
| ( ( ordered @ ( snoc @ SV41 @ ( m_Ldr @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(397,plain,
! [SV115: $i,SV90: $i,SV42: $i] :
( ( ( m_Ack @ SV42 @ SV90 )
!= ( m_Halt @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(398,plain,
! [SV116: $i,SV91: $i,SV43: $i] :
( ( ~ ( ordered @ SV43 )
| ( ordered @ ( snoc @ SV43 @ ( m_Ack @ SV91 @ SV116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(399,plain,
! [SV92: $i,SV44: $i] :
( ( ( m_Down @ SV44 )
= ( m_NormQ @ SV92 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(400,plain,
! [SV93: $i,SV45: $i] :
( ( ( ~ ( elem @ ( m_Ack @ SV45 @ SV93 ) @ ( queue @ ( host @ SV45 ) ) ) )
= $true )
| ( ( ~ ( ~ ( setIn @ SV45 @ pids )
| ~ ( setIn @ SV93 @ pids ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(401,plain,
! [SV94: $i,SV46: $i] :
( ( ( m_Ldr @ SV46 )
= ( m_NotNorm @ SV94 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(402,plain,
! [SV117: $i,SV95: $i,SV47: $i] :
( ( ( m_Ack @ SV47 @ SV95 )
!= ( m_NotNorm @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(403,plain,
( ( ~ ( ( setIn @ ( host @ sK5_SX0 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ sK5_SX0 )
= ( host @ sK4_SY184 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(404,plain,
( ( ! [SY317: $i] :
( ( ( host @ sK5_SX0 )
!= ( host @ SY317 ) )
| ( ( host @ sK3_SY158 )
!= ( host @ SY317 ) )
| ! [SY318: $i,SY319: $i] :
( ~ ( ( ( host @ sK5_SX0 )
!= ( host @ SY319 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ SY319 ) ) )
| ! [SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY319 )
!= ( host @ SY317 ) ) )
| ~ ( setIn @ SY317 @ alive ) )
| ~ ( setIn @ SY319 @ alive ) )
| ( ( host @ SY318 )
!= ( host @ SY317 ) ) )
| ( ( host @ SX4 )
!= ( host @ SY319 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY318 ) @ ( queue @ ( host @ SY319 ) ) )
| ~ ( elem @ ( m_Down @ SX4 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(405,plain,
! [SV96: $i,SV48: $i] :
( ( ( ( s @ ( host @ SV48 ) )
!= ( host @ SV96 ) )
= $true )
| ( ( ( host @ SV48 )
!= ( host @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(406,plain,
! [SV97: $i,SV49: $i] :
( ( ~ ( ~ ( leq @ SV49 @ ( s @ SV97 ) )
| ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
| ~ ( ~ ( ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
| ( leq @ SV49 @ ( s @ SV97 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(407,plain,
! [SV98: $i,SV50: $i] :
( ( ( m_Ldr @ SV50 )
= ( m_Halt @ SV98 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(408,plain,
! [SV51: $i,SV99: $i] :
( ( ( ~ ( elem @ ( m_Halt @ SV99 ) @ ( queue @ ( host @ SV51 ) ) ) )
= $true )
| ( ( ~ ( leq @ ( host @ SV51 ) @ ( host @ SV99 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(409,plain,
! [SV100: $i,SV52: $i] :
( ( ( m_Ldr @ SV52 )
= ( m_NormQ @ SV100 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(410,plain,
! [SV53: $i,SV101: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV101 ) @ ( queue @ ( host @ SV53 ) ) ) )
= $true )
| ( ( ( host @ SV101 )
!= ( host @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(411,plain,
! [SV118: $i,SV102: $i,SV54: $i] :
( ( ( m_Ack @ SV54 @ SV102 )
!= ( m_NormQ @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(412,plain,
! [SV55: $i] :
( ( ~ ( ~ ( pidElem @ SV55 )
| ~ ! [SY297: $i] :
~ ( ( SV55
= ( m_Halt @ SY297 ) )
| ( SV55
= ( m_Down @ SY297 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(413,plain,
! [SV55: $i] :
( ( ~ ( ~ ~ ! [SY298: $i] :
~ ( ( SV55
= ( m_Halt @ SY298 ) )
| ( SV55
= ( m_Down @ SY298 ) ) )
| ( pidElem @ SV55 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(414,plain,
! [SV103: $i,SV56: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) )
| ( SV56 = SV103 ) )
| ~ ( ( SV56 != SV103 )
| ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(415,plain,
! [SV105: $i,SV63: $i,SV15: $i] :
( ( ( m_Ack @ SV15 @ SV63 )
= ( m_Down @ SV105 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(416,plain,
! [SV64: $i,SV16: $i] :
( ( ~ ( ~ ( ( SV16 != SV64 ) )
| ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(417,plain,
! [SV64: $i,SV16: $i] :
( ( ~ ( ~ ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) )
| ( SV16 != SV64 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(418,plain,
! [SV65: $i,SV17: $i] :
( ( ~ ( ~ ( leq @ SV17 @ SV65 )
| ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(419,plain,
! [SV65: $i,SV17: $i] :
( ( ~ ( ~ ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) )
| ( leq @ SV17 @ SV65 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(420,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ~ ( ~ ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
| ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
| ~ ( ~ ( ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
| ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(421,plain,
! [SV107: $i,SV69: $i,SV21: $i] :
( ( ( m_Ack @ SV21 @ SV69 )
= ( m_Ldr @ SV107 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(422,plain,
! [SV119: $i,SV108: $i,SV72: $i,SV24: $i] :
( ( ~ ( ( SV24 != SV72 ) )
| ( ( m_Ack @ SV24 @ SV108 )
!= ( m_Ack @ SV72 @ SV119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(423,plain,
! [SV73: $i,SV25: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( setIn @ SV25 @ alive )
| ~ ( leq @ SV73 @ SV25 ) )
| ( ( host @ SV73 )
!= ( host @ SV25 ) ) ) )
= $false )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(424,plain,
! [SV75: $i,SV27: $i] :
( ( ( ( host @ SV27 )
!= ( host @ SV75 ) )
= $false )
| ( ( SV27 != SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(425,plain,
! [SV109: $i,SV76: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV28 @ SV76 )
| ~ ( leq @ SV76 @ SV109 ) ) )
= $true )
| ( ( leq @ SV28 @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(426,plain,
! [SV77: $i,SV29: $i,SV110: $i] :
( ( ( ~ ( elem @ ( m_Ack @ SV110 @ SV29 ) @ ( queue @ ( host @ SV77 ) ) ) )
= $true )
| ( ( ~ ( leq @ ( host @ SV29 ) @ ( host @ SV110 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(427,plain,
! [SV30: $i,SV78: $i] :
( ( ( ~ ( ~ ( ( SV78 != SV30 ) )
| ( ( host @ SV78 )
!= ( host @ SV30 ) ) ) )
= $false )
| ( ( ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SV78 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(428,plain,
! [SV79: $i,SV31: $i] :
( ( ~ ( ~ ( ( SV31 != SV79 ) )
| ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(429,plain,
! [SV79: $i,SV31: $i] :
( ( ~ ( ~ ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) )
| ( SV31 != SV79 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(430,plain,
! [SV32: $i,SV80: $i] :
( ( ( elem @ ( m_Down @ SV80 ) @ ( queue @ ( host @ SV32 ) ) )
= $false )
| ( ( ~ ( setIn @ SV80 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(431,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
| ( ( host @ SV81 )
!= ( host @ SV111 ) ) )
| ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) ) )
= $true )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(432,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) )
| ( ( host @ SV120 )
!= ( host @ SV112 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(433,plain,
! [SV83: $i,SV35: $i,SV121: $i,SV113: $i] :
( ( ~ ( ( SV113 != SV121 ) )
| ( ( m_Ack @ SV35 @ SV113 )
!= ( m_Ack @ SV83 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(434,plain,
! [SV84: $i,SV114: $i,SV36: $i] :
( ( ~ ( ~ ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
| ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
| ~ ( ~ ( ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
| ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(435,plain,
! [SV38: $i,SV86: $i] :
( ( ( setIn @ SV86 @ alive )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV86 ) @ ( queue @ ( host @ SV38 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(436,plain,
! [SV88: $i,SV40: $i] :
( ( ~ ( ~ ( ( SV40 != SV88 ) )
| ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[395]) ).
thf(437,plain,
! [SV88: $i,SV40: $i] :
( ( ~ ( ~ ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) )
| ( SV40 != SV88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[395]) ).
thf(438,plain,
! [SV89: $i,SV41: $i] :
( ( ( ordered @ SV41 )
= $false )
| ( ( ordered @ ( snoc @ SV41 @ ( m_Ldr @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(439,plain,
! [SV115: $i,SV90: $i,SV42: $i] :
( ( ( m_Ack @ SV42 @ SV90 )
= ( m_Halt @ SV115 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(440,plain,
! [SV116: $i,SV91: $i,SV43: $i] :
( ( ( ~ ( ordered @ SV43 ) )
= $true )
| ( ( ordered @ ( snoc @ SV43 @ ( m_Ack @ SV91 @ SV116 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(441,plain,
! [SV93: $i,SV45: $i] :
( ( ( elem @ ( m_Ack @ SV45 @ SV93 ) @ ( queue @ ( host @ SV45 ) ) )
= $false )
| ( ( ~ ( ~ ( setIn @ SV45 @ pids )
| ~ ( setIn @ SV93 @ pids ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(442,plain,
! [SV117: $i,SV95: $i,SV47: $i] :
( ( ( m_Ack @ SV47 @ SV95 )
= ( m_NotNorm @ SV117 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(443,plain,
( ( ( setIn @ ( host @ sK5_SX0 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
| ( ( host @ sK5_SX0 )
= ( host @ sK4_SY184 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(444,plain,
( ( ( ( host @ sK5_SX0 )
!= ( host @ sK6_SY317 ) )
| ( ( host @ sK3_SY158 )
!= ( host @ sK6_SY317 ) )
| ! [SY325: $i,SY326: $i] :
( ~ ( ( ( host @ sK5_SX0 )
!= ( host @ SY326 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ SY326 ) ) )
| ! [SY327: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY326 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ SY326 @ alive ) )
| ( ( host @ SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ SY327 )
!= ( host @ SY326 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY325 ) @ ( queue @ ( host @ SY326 ) ) )
| ~ ( elem @ ( m_Down @ SY327 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[404]) ).
thf(445,plain,
! [SV96: $i,SV48: $i] :
( ( ( ( s @ ( host @ SV48 ) )
= ( host @ SV96 ) )
= $false )
| ( ( ( host @ SV48 )
!= ( host @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(446,plain,
! [SV97: $i,SV49: $i] :
( ( ~ ( ~ ( leq @ SV49 @ ( s @ SV97 ) )
| ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(447,plain,
! [SV97: $i,SV49: $i] :
( ( ~ ( ~ ( ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
| ( leq @ SV49 @ ( s @ SV97 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(448,plain,
! [SV51: $i,SV99: $i] :
( ( ( elem @ ( m_Halt @ SV99 ) @ ( queue @ ( host @ SV51 ) ) )
= $false )
| ( ( ~ ( leq @ ( host @ SV51 ) @ ( host @ SV99 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(449,plain,
! [SV53: $i,SV101: $i] :
( ( ( elem @ ( m_Down @ SV101 ) @ ( queue @ ( host @ SV53 ) ) )
= $false )
| ( ( ( host @ SV101 )
!= ( host @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(450,plain,
! [SV118: $i,SV102: $i,SV54: $i] :
( ( ( m_Ack @ SV54 @ SV102 )
= ( m_NormQ @ SV118 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(451,plain,
! [SV55: $i] :
( ( ~ ( pidElem @ SV55 )
| ~ ! [SY297: $i] :
~ ( ( SV55
= ( m_Halt @ SY297 ) )
| ( SV55
= ( m_Down @ SY297 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(452,plain,
! [SV55: $i] :
( ( ~ ~ ! [SY298: $i] :
~ ( ( SV55
= ( m_Halt @ SY298 ) )
| ( SV55
= ( m_Down @ SY298 ) ) )
| ( pidElem @ SV55 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(453,plain,
! [SV103: $i,SV56: $i] :
( ( ~ ( ~ ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) )
| ( SV56 = SV103 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(454,plain,
! [SV103: $i,SV56: $i] :
( ( ~ ( ( SV56 != SV103 )
| ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(455,plain,
! [SV64: $i,SV16: $i] :
( ( ~ ( ( SV16 != SV64 ) )
| ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(456,plain,
! [SV64: $i,SV16: $i] :
( ( ~ ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) )
| ( SV16 != SV64 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(457,plain,
! [SV65: $i,SV17: $i] :
( ( ~ ( leq @ SV17 @ SV65 )
| ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(458,plain,
! [SV65: $i,SV17: $i] :
( ( ~ ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) )
| ( leq @ SV17 @ SV65 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(459,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ~ ( ~ ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
| ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(460,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ~ ( ~ ( ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
| ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(461,plain,
! [SV119: $i,SV108: $i,SV72: $i,SV24: $i] :
( ( ( ~ ( ( SV24 != SV72 ) ) )
= $true )
| ( ( ( m_Ack @ SV24 @ SV108 )
!= ( m_Ack @ SV72 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(462,plain,
! [SV73: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( setIn @ SV25 @ alive )
| ~ ( leq @ SV73 @ SV25 ) )
| ( ( host @ SV73 )
!= ( host @ SV25 ) ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(463,plain,
! [SV75: $i,SV27: $i] :
( ( ( ( host @ SV27 )
= ( host @ SV75 ) )
= $true )
| ( ( SV27 != SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(464,plain,
! [SV109: $i,SV76: $i,SV28: $i] :
( ( ( ~ ( ~ ( leq @ SV28 @ SV76 )
| ~ ( leq @ SV76 @ SV109 ) ) )
= $false )
| ( ( leq @ SV28 @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(465,plain,
! [SV77: $i,SV29: $i,SV110: $i] :
( ( ( elem @ ( m_Ack @ SV110 @ SV29 ) @ ( queue @ ( host @ SV77 ) ) )
= $false )
| ( ( ~ ( leq @ ( host @ SV29 ) @ ( host @ SV110 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(466,plain,
! [SV30: $i,SV78: $i] :
( ( ( ~ ( ( SV78 != SV30 ) )
| ( ( host @ SV78 )
!= ( host @ SV30 ) ) )
= $true )
| ( ( ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SV78 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(467,plain,
! [SV79: $i,SV31: $i] :
( ( ~ ( ( SV31 != SV79 ) )
| ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(468,plain,
! [SV79: $i,SV31: $i] :
( ( ~ ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) )
| ( SV31 != SV79 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(469,plain,
! [SV32: $i,SV80: $i] :
( ( ( setIn @ SV80 @ alive )
= $false )
| ( ( elem @ ( m_Down @ SV80 ) @ ( queue @ ( host @ SV32 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(470,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
| ( ( host @ SV81 )
!= ( host @ SV111 ) ) )
| ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) ) )
= $false )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(471,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) )
| ( ( host @ SV120 )
!= ( host @ SV112 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(472,plain,
! [SV83: $i,SV35: $i,SV121: $i,SV113: $i] :
( ( ( ~ ( ( SV113 != SV121 ) ) )
= $true )
| ( ( ( m_Ack @ SV35 @ SV113 )
!= ( m_Ack @ SV83 @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(473,plain,
! [SV84: $i,SV114: $i,SV36: $i] :
( ( ~ ( ~ ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
| ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(474,plain,
! [SV114: $i,SV84: $i,SV36: $i] :
( ( ~ ( ~ ( ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
| ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(475,plain,
! [SV38: $i,SV86: $i] :
( ( ( elem @ ( m_Down @ SV86 ) @ ( queue @ ( host @ SV38 ) ) )
= $false )
| ( ( setIn @ SV86 @ alive )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(476,plain,
! [SV88: $i,SV40: $i] :
( ( ~ ( ( SV40 != SV88 ) )
| ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(477,plain,
! [SV88: $i,SV40: $i] :
( ( ~ ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) )
| ( SV40 != SV88 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(478,plain,
! [SV116: $i,SV91: $i,SV43: $i] :
( ( ( ordered @ SV43 )
= $false )
| ( ( ordered @ ( snoc @ SV43 @ ( m_Ack @ SV91 @ SV116 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(479,plain,
! [SV93: $i,SV45: $i] :
( ( ( ~ ( setIn @ SV45 @ pids )
| ~ ( setIn @ SV93 @ pids ) )
= $false )
| ( ( elem @ ( m_Ack @ SV45 @ SV93 ) @ ( queue @ ( host @ SV45 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(480,plain,
( ( ( setIn @ ( host @ sK5_SX0 ) @ ( index @ acks @ ( host @ sK3_SY158 ) ) )
= $true )
| ( ( ( host @ sK5_SX0 )
= ( host @ sK4_SY184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(481,plain,
( ( ( host @ sK5_SX0 )
!= ( host @ sK6_SY317 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(482,plain,
( ( ( ( host @ sK3_SY158 )
!= ( host @ sK6_SY317 ) )
| ! [SY325: $i,SY326: $i] :
( ~ ( ( ( host @ sK5_SX0 )
!= ( host @ SY326 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ SY326 ) ) )
| ! [SY327: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY326 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ SY326 @ alive ) )
| ( ( host @ SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ SY327 )
!= ( host @ SY326 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY325 ) @ ( queue @ ( host @ SY326 ) ) )
| ~ ( elem @ ( m_Down @ SY327 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(483,plain,
! [SV96: $i,SV48: $i] :
( ( ( ( host @ SV48 )
= ( host @ SV96 ) )
= $false )
| ( ( ( s @ ( host @ SV48 ) )
= ( host @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(484,plain,
! [SV97: $i,SV49: $i] :
( ( ~ ( leq @ SV49 @ ( s @ SV97 ) )
| ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(485,plain,
! [SV97: $i,SV49: $i] :
( ( ~ ( ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
| ( leq @ SV49 @ ( s @ SV97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(486,plain,
! [SV99: $i,SV51: $i] :
( ( ( leq @ ( host @ SV51 ) @ ( host @ SV99 ) )
= $false )
| ( ( elem @ ( m_Halt @ SV99 ) @ ( queue @ ( host @ SV51 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(487,plain,
! [SV53: $i,SV101: $i] :
( ( ( ( host @ SV101 )
= ( host @ SV53 ) )
= $false )
| ( ( elem @ ( m_Down @ SV101 ) @ ( queue @ ( host @ SV53 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(488,plain,
! [SV55: $i] :
( ( ( ~ ( pidElem @ SV55 ) )
= $true )
| ( ( ~ ! [SY297: $i] :
~ ( ( SV55
= ( m_Halt @ SY297 ) )
| ( SV55
= ( m_Down @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(489,plain,
! [SV55: $i] :
( ( ( ~ ~ ! [SY298: $i] :
~ ( ( SV55
= ( m_Halt @ SY298 ) )
| ( SV55
= ( m_Down @ SY298 ) ) ) )
= $true )
| ( ( pidElem @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(490,plain,
! [SV103: $i,SV56: $i] :
( ( ~ ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) )
| ( SV56 = SV103 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(491,plain,
! [SV103: $i,SV56: $i] :
( ( ( SV56 != SV103 )
| ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(492,plain,
! [SV64: $i,SV16: $i] :
( ( ( ~ ( ( SV16 != SV64 ) ) )
= $true )
| ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(493,plain,
! [SV64: $i,SV16: $i] :
( ( ( ~ ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) ) ) )
= $true )
| ( ( SV16 != SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(494,plain,
! [SV65: $i,SV17: $i] :
( ( ( ~ ( leq @ SV17 @ SV65 ) )
= $true )
| ( ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(495,plain,
! [SV65: $i,SV17: $i] :
( ( ( ~ ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) ) )
= $true )
| ( ( leq @ SV17 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(496,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ~ ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
| ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(497,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ~ ( ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
| ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(498,plain,
! [SV119: $i,SV108: $i,SV72: $i,SV24: $i] :
( ( ( SV24 != SV72 )
= $false )
| ( ( ( m_Ack @ SV24 @ SV108 )
!= ( m_Ack @ SV72 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(499,plain,
! [SV73: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( setIn @ SV25 @ alive )
| ~ ( leq @ SV73 @ SV25 ) ) )
= $true )
| ( ( ( host @ SV73 )
!= ( host @ SV25 ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(500,plain,
! [SV75: $i,SV27: $i] :
( ( ( SV27 = SV75 )
= $false )
| ( ( ( host @ SV27 )
= ( host @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(501,plain,
! [SV109: $i,SV76: $i,SV28: $i] :
( ( ( ~ ( leq @ SV28 @ SV76 )
| ~ ( leq @ SV76 @ SV109 ) )
= $true )
| ( ( leq @ SV28 @ SV109 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(502,plain,
! [SV77: $i,SV110: $i,SV29: $i] :
( ( ( leq @ ( host @ SV29 ) @ ( host @ SV110 ) )
= $false )
| ( ( elem @ ( m_Ack @ SV110 @ SV29 ) @ ( queue @ ( host @ SV77 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(503,plain,
! [SV30: $i,SV78: $i] :
( ( ( ~ ( ( SV78 != SV30 ) ) )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV30 ) )
= $true )
| ( ( ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SV78 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(504,plain,
! [SV79: $i,SV31: $i] :
( ( ( ~ ( ( SV31 != SV79 ) ) )
= $true )
| ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(505,plain,
! [SV79: $i,SV31: $i] :
( ( ( ~ ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) ) ) )
= $true )
| ( ( SV31 != SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(506,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
| ( ( host @ SV81 )
!= ( host @ SV111 ) ) )
| ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) )
= $true )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(507,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) )
| ( ( host @ SV120 )
!= ( host @ SV112 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(508,plain,
! [SV83: $i,SV35: $i,SV121: $i,SV113: $i] :
( ( ( SV113 != SV121 )
= $false )
| ( ( ( m_Ack @ SV35 @ SV113 )
!= ( m_Ack @ SV83 @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(509,plain,
! [SV84: $i,SV114: $i,SV36: $i] :
( ( ~ ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
| ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(510,plain,
! [SV114: $i,SV84: $i,SV36: $i] :
( ( ~ ( ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
| ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(511,plain,
! [SV88: $i,SV40: $i] :
( ( ( ~ ( ( SV40 != SV88 ) ) )
= $true )
| ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(512,plain,
! [SV88: $i,SV40: $i] :
( ( ( ~ ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) ) ) )
= $true )
| ( ( SV40 != SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(513,plain,
! [SV93: $i,SV45: $i] :
( ( ( ~ ( setIn @ SV45 @ pids ) )
= $false )
| ( ( elem @ ( m_Ack @ SV45 @ SV93 ) @ ( queue @ ( host @ SV45 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(514,plain,
! [SV45: $i,SV93: $i] :
( ( ( ~ ( setIn @ SV93 @ pids ) )
= $false )
| ( ( elem @ ( m_Ack @ SV45 @ SV93 ) @ ( queue @ ( host @ SV45 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(515,plain,
( ( ( host @ sK5_SX0 )
= ( host @ sK6_SY317 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(516,plain,
( ( ( host @ sK3_SY158 )
!= ( host @ sK6_SY317 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(517,plain,
( ( ! [SY325: $i,SY326: $i] :
( ~ ( ( ( host @ sK5_SX0 )
!= ( host @ SY326 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ SY326 ) ) )
| ! [SY327: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY326 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ SY326 @ alive ) )
| ( ( host @ SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ SY327 )
!= ( host @ SY326 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ SY325 ) @ ( queue @ ( host @ SY326 ) ) )
| ~ ( elem @ ( m_Down @ SY327 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(518,plain,
! [SV97: $i,SV49: $i] :
( ( ( ~ ( leq @ SV49 @ ( s @ SV97 ) ) )
= $true )
| ( ( ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(519,plain,
! [SV97: $i,SV49: $i] :
( ( ( ~ ( ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) ) )
= $true )
| ( ( leq @ SV49 @ ( s @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(520,plain,
! [SV55: $i] :
( ( ( pidElem @ SV55 )
= $false )
| ( ( ~ ! [SY297: $i] :
~ ( ( SV55
= ( m_Halt @ SY297 ) )
| ( SV55
= ( m_Down @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(521,plain,
! [SV55: $i] :
( ( ( ~ ! [SY298: $i] :
~ ( ( SV55
= ( m_Halt @ SY298 ) )
| ( SV55
= ( m_Down @ SY298 ) ) ) )
= $false )
| ( ( pidElem @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(522,plain,
! [SV103: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) ) )
= $true )
| ( ( SV56 = SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(523,plain,
! [SV103: $i,SV56: $i] :
( ( ( SV56 != SV103 )
= $true )
| ( ( ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(524,plain,
! [SV64: $i,SV16: $i] :
( ( ( SV16 != SV64 )
= $false )
| ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(525,plain,
! [SV64: $i,SV16: $i] :
( ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) )
= $false )
| ( ( SV16 != SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(526,plain,
! [SV65: $i,SV17: $i] :
( ( ( leq @ SV17 @ SV65 )
= $false )
| ( ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(527,plain,
! [SV65: $i,SV17: $i] :
( ( ( leq @ ( s @ SV17 ) @ ( s @ SV65 ) )
= $false )
| ( ( leq @ SV17 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(528,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ( ~ ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) ) )
= $true )
| ( ( ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(529,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ( ~ ( ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) ) )
= $true )
| ( ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(530,plain,
! [SV119: $i,SV108: $i,SV72: $i,SV24: $i] :
( ( ( SV24 = SV72 )
= $true )
| ( ( ( m_Ack @ SV24 @ SV108 )
!= ( m_Ack @ SV72 @ SV119 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(531,plain,
! [SV73: $i,SV25: $i] :
( ( ( ~ ( ~ ~ ( setIn @ SV25 @ alive )
| ~ ( leq @ SV73 @ SV25 ) ) )
= $false )
| ( ( ( host @ SV73 )
!= ( host @ SV25 ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(532,plain,
! [SV109: $i,SV76: $i,SV28: $i] :
( ( ( ~ ( leq @ SV28 @ SV76 ) )
= $true )
| ( ( ~ ( leq @ SV76 @ SV109 ) )
= $true )
| ( ( leq @ SV28 @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(533,plain,
! [SV30: $i,SV78: $i] :
( ( ( SV78 != SV30 )
= $false )
| ( ( ( host @ SV78 )
!= ( host @ SV30 ) )
= $true )
| ( ( ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SV78 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(534,plain,
! [SV79: $i,SV31: $i] :
( ( ( SV31 != SV79 )
= $false )
| ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(535,plain,
! [SV79: $i,SV31: $i] :
( ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) )
= $false )
| ( ( SV31 != SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(536,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
| ( ( host @ SV81 )
!= ( host @ SV111 ) ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) )
= $true )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(537,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) )
| ( ( host @ SV120 )
!= ( host @ SV112 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(538,plain,
! [SV83: $i,SV35: $i,SV121: $i,SV113: $i] :
( ( ( SV113 = SV121 )
= $true )
| ( ( ( m_Ack @ SV35 @ SV113 )
!= ( m_Ack @ SV83 @ SV121 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(539,plain,
! [SV84: $i,SV114: $i,SV36: $i] :
( ( ( ~ ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) ) )
= $true )
| ( ( ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(540,plain,
! [SV114: $i,SV84: $i,SV36: $i] :
( ( ( ~ ( ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) ) )
= $true )
| ( ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(541,plain,
! [SV88: $i,SV40: $i] :
( ( ( SV40 != SV88 )
= $false )
| ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(542,plain,
! [SV88: $i,SV40: $i] :
( ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) )
= $false )
| ( ( SV40 != SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(543,plain,
! [SV93: $i,SV45: $i] :
( ( ( setIn @ SV45 @ pids )
= $true )
| ( ( elem @ ( m_Ack @ SV45 @ SV93 ) @ ( queue @ ( host @ SV45 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(544,plain,
! [SV45: $i,SV93: $i] :
( ( ( setIn @ SV93 @ pids )
= $true )
| ( ( elem @ ( m_Ack @ SV45 @ SV93 ) @ ( queue @ ( host @ SV45 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(545,plain,
( ( ( host @ sK3_SY158 )
= ( host @ sK6_SY317 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(546,plain,
( ( ! [SY328: $i] :
( ~ ( ( ( host @ sK5_SX0 )
!= ( host @ SY328 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ SY328 ) ) )
| ! [SY329: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ SY329 )
!= ( host @ SY328 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ SY328 ) ) )
| ~ ( elem @ ( m_Down @ SY329 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[517]) ).
thf(547,plain,
! [SV97: $i,SV49: $i] :
( ( ( leq @ SV49 @ ( s @ SV97 ) )
= $false )
| ( ( ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(548,plain,
! [SV97: $i,SV49: $i] :
( ( ( ( SV49
= ( s @ SV97 ) )
| ( leq @ SV49 @ SV97 ) )
= $false )
| ( ( leq @ SV49 @ ( s @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(549,plain,
! [SV55: $i] :
( ( ( ! [SY297: $i] :
~ ( ( SV55
= ( m_Halt @ SY297 ) )
| ( SV55
= ( m_Down @ SY297 ) ) ) )
= $false )
| ( ( pidElem @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(550,plain,
! [SV55: $i] :
( ( ( ! [SY298: $i] :
~ ( ( SV55
= ( m_Halt @ SY298 ) )
| ( SV55
= ( m_Down @ SY298 ) ) ) )
= $true )
| ( ( pidElem @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(551,plain,
! [SV103: $i,SV56: $i] :
( ( ( ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) ) )
= $false )
| ( ( SV56 = SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(552,plain,
! [SV103: $i,SV56: $i] :
( ( ( SV56 = SV103 )
= $false )
| ( ( ~ ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(553,plain,
! [SV64: $i,SV16: $i] :
( ( ( SV16 = SV64 )
= $true )
| ( ( ( m_Ldr @ SV16 )
!= ( m_Ldr @ SV64 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(554,plain,
! [SV64: $i,SV16: $i] :
( ( ( ( m_Ldr @ SV16 )
= ( m_Ldr @ SV64 ) )
= $true )
| ( ( SV16 != SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(555,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
= $false )
| ( ( ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(556,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ( ( SV19 = SV67 )
| ( elem @ SV19 @ SV106 ) )
= $false )
| ( ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(557,plain,
! [SV119: $i,SV72: $i,SV108: $i,SV24: $i] :
( ( ( ( m_Ack @ SV24 @ SV108 )
= ( m_Ack @ SV72 @ SV119 ) )
= $false )
| ( ( SV24 = SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(558,plain,
! [SV73: $i,SV25: $i] :
( ( ( ~ ~ ( setIn @ SV25 @ alive )
| ~ ( leq @ SV73 @ SV25 ) )
= $true )
| ( ( ( host @ SV73 )
!= ( host @ SV25 ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(559,plain,
! [SV109: $i,SV76: $i,SV28: $i] :
( ( ( leq @ SV28 @ SV76 )
= $false )
| ( ( ~ ( leq @ SV76 @ SV109 ) )
= $true )
| ( ( leq @ SV28 @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(560,plain,
! [SV30: $i,SV78: $i] :
( ( ( SV78 = SV30 )
= $true )
| ( ( ( host @ SV78 )
!= ( host @ SV30 ) )
= $true )
| ( ( ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SV78 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(561,plain,
! [SV79: $i,SV31: $i] :
( ( ( SV31 = SV79 )
= $true )
| ( ( ( m_Down @ SV31 )
!= ( m_Down @ SV79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(562,plain,
! [SV79: $i,SV31: $i] :
( ( ( ( m_Down @ SV31 )
= ( m_Down @ SV79 ) )
= $true )
| ( ( SV31 != SV79 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(563,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ( ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
| ( ( host @ SV81 )
!= ( host @ SV111 ) ) ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) )
= $true )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(564,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(565,plain,
! [SV121: $i,SV83: $i,SV113: $i,SV35: $i] :
( ( ( ( m_Ack @ SV35 @ SV113 )
= ( m_Ack @ SV83 @ SV121 ) )
= $false )
| ( ( SV113 = SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(566,plain,
! [SV84: $i,SV114: $i,SV36: $i] :
( ( ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
= $false )
| ( ( ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(567,plain,
! [SV114: $i,SV84: $i,SV36: $i] :
( ( ( ( SV36 = SV84 )
| ( elem @ SV36 @ SV114 ) )
= $false )
| ( ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(568,plain,
! [SV88: $i,SV40: $i] :
( ( ( SV40 = SV88 )
= $true )
| ( ( ( m_Halt @ SV40 )
!= ( m_Halt @ SV88 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(569,plain,
! [SV88: $i,SV40: $i] :
( ( ( ( m_Halt @ SV40 )
= ( m_Halt @ SV88 ) )
= $true )
| ( ( SV40 != SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(570,plain,
( ( ~ ( ( ( host @ sK5_SX0 )
!= ( host @ sK8_SY328 ) ) )
| ~ ( ( ( host @ sK3_SY158 )
!= ( host @ sK8_SY328 ) ) )
| ! [SY330: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ SY330 )
!= ( host @ sK8_SY328 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) )
| ~ ( elem @ ( m_Down @ SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[546]) ).
thf(571,plain,
! [SV97: $i,SV49: $i] :
( ( ( SV49
= ( s @ SV97 ) )
= $true )
| ( ( leq @ SV49 @ SV97 )
= $true )
| ( ( leq @ SV49 @ ( s @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(572,plain,
! [SV97: $i,SV49: $i] :
( ( ( SV49
= ( s @ SV97 ) )
= $false )
| ( ( leq @ SV49 @ ( s @ SV97 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(573,plain,
! [SV97: $i,SV49: $i] :
( ( ( leq @ SV49 @ SV97 )
= $false )
| ( ( leq @ SV49 @ ( s @ SV97 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(574,plain,
! [SV55: $i] :
( ( ( ~ ( ( SV55
= ( m_Halt @ ( sK9_SY297 @ SV55 ) ) )
| ( SV55
= ( m_Down @ ( sK9_SY297 @ SV55 ) ) ) ) )
= $false )
| ( ( pidElem @ SV55 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[549]) ).
thf(575,plain,
! [SV122: $i,SV55: $i] :
( ( ( ~ ( ( SV55
= ( m_Halt @ SV122 ) )
| ( SV55
= ( m_Down @ SV122 ) ) ) )
= $true )
| ( ( pidElem @ SV55 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(576,plain,
! [SV103: $i,SV56: $i] :
( ( ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) )
= $true )
| ( ( SV56 = SV103 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(577,plain,
! [SV103: $i,SV56: $i] :
( ( ( ~ ( leq @ SV56 @ SV103 )
| ~ ( leq @ SV103 @ SV56 ) )
= $false )
| ( ( SV56 = SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(578,plain,
! [SV64: $i,SV16: $i] :
( ( ( ( m_Ldr @ SV16 )
= ( m_Ldr @ SV64 ) )
= $false )
| ( ( SV16 = SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(579,plain,
! [SV64: $i,SV16: $i] :
( ( ( SV16 = SV64 )
= $false )
| ( ( ( m_Ldr @ SV16 )
= ( m_Ldr @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(580,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ( SV19 = SV67 )
= $true )
| ( ( elem @ SV19 @ SV106 )
= $true )
| ( ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(581,plain,
! [SV106: $i,SV67: $i,SV19: $i] :
( ( ( SV19 = SV67 )
= $false )
| ( ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(582,plain,
! [SV67: $i,SV106: $i,SV19: $i] :
( ( ( elem @ SV19 @ SV106 )
= $false )
| ( ( elem @ SV19 @ ( cons @ SV67 @ SV106 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(583,plain,
! [SV73: $i,SV25: $i] :
( ( ( ~ ~ ( setIn @ SV25 @ alive ) )
= $true )
| ( ( ~ ( leq @ SV73 @ SV25 ) )
= $true )
| ( ( ( host @ SV73 )
!= ( host @ SV25 ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(584,plain,
! [SV28: $i,SV109: $i,SV76: $i] :
( ( ( leq @ SV76 @ SV109 )
= $false )
| ( ( leq @ SV28 @ SV76 )
= $false )
| ( ( leq @ SV28 @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(585,plain,
! [SV30: $i,SV78: $i] :
( ( ( ( host @ SV78 )
= ( host @ SV30 ) )
= $false )
| ( ( SV78 = SV30 )
= $true )
| ( ( ~ ( setIn @ SV30 @ alive )
| ~ ( setIn @ SV78 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(586,plain,
! [SV79: $i,SV31: $i] :
( ( ( ( m_Down @ SV31 )
= ( m_Down @ SV79 ) )
= $false )
| ( ( SV31 = SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(587,plain,
! [SV79: $i,SV31: $i] :
( ( ( SV31 = SV79 )
= $false )
| ( ( ( m_Down @ SV31 )
= ( m_Down @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(588,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
| ( ( host @ SV81 )
!= ( host @ SV111 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) )
= $true )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(589,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) ) )
= $false )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(590,plain,
! [SV114: $i,SV84: $i,SV36: $i] :
( ( ( SV36 = SV84 )
= $true )
| ( ( elem @ SV36 @ SV114 )
= $true )
| ( ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(591,plain,
! [SV114: $i,SV84: $i,SV36: $i] :
( ( ( SV36 = SV84 )
= $false )
| ( ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(592,plain,
! [SV84: $i,SV114: $i,SV36: $i] :
( ( ( elem @ SV36 @ SV114 )
= $false )
| ( ( elem @ SV36 @ ( snoc @ SV114 @ SV84 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(593,plain,
! [SV88: $i,SV40: $i] :
( ( ( ( m_Halt @ SV40 )
= ( m_Halt @ SV88 ) )
= $false )
| ( ( SV40 = SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(594,plain,
! [SV88: $i,SV40: $i] :
( ( ( SV40 = SV88 )
= $false )
| ( ( ( m_Halt @ SV40 )
= ( m_Halt @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(595,plain,
( ( ~ ( ( ( host @ sK5_SX0 )
!= ( host @ sK8_SY328 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(596,plain,
( ( ~ ( ( ( host @ sK3_SY158 )
!= ( host @ sK8_SY328 ) ) )
| ! [SY330: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ SY330 )
!= ( host @ sK8_SY328 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) )
| ~ ( elem @ ( m_Down @ SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(597,plain,
! [SV55: $i] :
( ( ( ( SV55
= ( m_Halt @ ( sK9_SY297 @ SV55 ) ) )
| ( SV55
= ( m_Down @ ( sK9_SY297 @ SV55 ) ) ) )
= $true )
| ( ( pidElem @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(598,plain,
! [SV122: $i,SV55: $i] :
( ( ( ( SV55
= ( m_Halt @ SV122 ) )
| ( SV55
= ( m_Down @ SV122 ) ) )
= $false )
| ( ( pidElem @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(599,plain,
! [SV103: $i,SV56: $i] :
( ( ( ~ ( leq @ SV56 @ SV103 ) )
= $true )
| ( ( ~ ( leq @ SV103 @ SV56 ) )
= $true )
| ( ( SV56 = SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(600,plain,
! [SV103: $i,SV56: $i] :
( ( ( ~ ( leq @ SV56 @ SV103 ) )
= $false )
| ( ( SV56 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(601,plain,
! [SV56: $i,SV103: $i] :
( ( ( ~ ( leq @ SV103 @ SV56 ) )
= $false )
| ( ( SV56 = SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(602,plain,
! [SV73: $i,SV25: $i] :
( ( ( ~ ( setIn @ SV25 @ alive ) )
= $false )
| ( ( ~ ( leq @ SV73 @ SV25 ) )
= $true )
| ( ( ( host @ SV73 )
!= ( host @ SV25 ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(603,plain,
! [SV78: $i,SV30: $i] :
( ( ( ~ ( setIn @ SV30 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV78 @ alive ) )
= $true )
| ( ( SV78 = SV30 )
= $true )
| ( ( ( host @ SV78 )
= ( host @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(604,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) ) )
= $true )
| ( ( ( host @ SV81 )
!= ( host @ SV111 ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) )
= $true )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(605,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
| ( ( host @ SV82 )
!= ( host @ SV34 ) ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(606,plain,
( ( ( host @ sK5_SX0 )
!= ( host @ sK8_SY328 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(607,plain,
( ( ~ ( ( ( host @ sK3_SY158 )
!= ( host @ sK8_SY328 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(608,plain,
( ( ! [SY330: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ SY330 )
!= ( host @ sK8_SY328 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) )
| ~ ( elem @ ( m_Down @ SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(609,plain,
! [SV55: $i] :
( ( ( SV55
= ( m_Halt @ ( sK9_SY297 @ SV55 ) ) )
= $true )
| ( ( SV55
= ( m_Down @ ( sK9_SY297 @ SV55 ) ) )
= $true )
| ( ( pidElem @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(610,plain,
! [SV122: $i,SV55: $i] :
( ( ( SV55
= ( m_Halt @ SV122 ) )
= $false )
| ( ( pidElem @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(611,plain,
! [SV122: $i,SV55: $i] :
( ( ( SV55
= ( m_Down @ SV122 ) )
= $false )
| ( ( pidElem @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(612,plain,
! [SV103: $i,SV56: $i] :
( ( ( leq @ SV56 @ SV103 )
= $false )
| ( ( ~ ( leq @ SV103 @ SV56 ) )
= $true )
| ( ( SV56 = SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(613,plain,
! [SV103: $i,SV56: $i] :
( ( ( leq @ SV56 @ SV103 )
= $true )
| ( ( SV56 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(614,plain,
! [SV56: $i,SV103: $i] :
( ( ( leq @ SV103 @ SV56 )
= $true )
| ( ( SV56 = SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(615,plain,
! [SV73: $i,SV25: $i] :
( ( ( setIn @ SV25 @ alive )
= $true )
| ( ( ~ ( leq @ SV73 @ SV25 ) )
= $true )
| ( ( ( host @ SV73 )
!= ( host @ SV25 ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(616,plain,
! [SV78: $i,SV30: $i] :
( ( ( setIn @ SV30 @ alive )
= $false )
| ( ( ~ ( setIn @ SV78 @ alive ) )
= $true )
| ( ( SV78 = SV30 )
= $true )
| ( ( ( host @ SV78 )
= ( host @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(617,plain,
! [SV111: $i,SV33: $i,SV81: $i] :
( ( ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
= $false )
| ( ( ( host @ SV81 )
!= ( host @ SV111 ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) )
= $true )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(618,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(619,plain,
( ( ( host @ sK5_SX0 )
= ( host @ sK8_SY328 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(620,plain,
( ( ( host @ sK3_SY158 )
!= ( host @ sK8_SY328 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(621,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ sK10_SY330 )
!= ( host @ sK8_SY328 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) )
| ~ ( elem @ ( m_Down @ sK10_SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[608]) ).
thf(622,plain,
! [SV56: $i,SV103: $i] :
( ( ( leq @ SV103 @ SV56 )
= $false )
| ( ( leq @ SV56 @ SV103 )
= $false )
| ( ( SV56 = SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(623,plain,
! [SV25: $i,SV73: $i] :
( ( ( leq @ SV73 @ SV25 )
= $false )
| ( ( setIn @ SV25 @ alive )
= $true )
| ( ( ( host @ SV73 )
!= ( host @ SV25 ) )
= $true )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(624,plain,
! [SV30: $i,SV78: $i] :
( ( ( setIn @ SV78 @ alive )
= $false )
| ( ( setIn @ SV30 @ alive )
= $false )
| ( ( SV78 = SV30 )
= $true )
| ( ( ( host @ SV78 )
= ( host @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(625,plain,
! [SV33: $i,SV111: $i,SV81: $i] :
( ( ( ( host @ SV81 )
= ( host @ SV111 ) )
= $false )
| ( ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV111 ) @ SV33 ) )
= $true )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(626,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) ) )
= $false )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(627,plain,
( ( ( host @ sK3_SY158 )
= ( host @ sK8_SY328 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(628,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ sK10_SY330 )
!= ( host @ sK8_SY328 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(629,plain,
( ( ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) )
| ~ ( elem @ ( m_Down @ sK10_SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(630,plain,
! [SV25: $i,SV73: $i] :
( ( ( ( host @ SV73 )
= ( host @ SV25 ) )
= $false )
| ( ( setIn @ SV25 @ alive )
= $true )
| ( ( leq @ SV73 @ SV25 )
= $false )
| ( ( ~ ( setIn @ SV73 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(631,plain,
! [SV81: $i,SV33: $i,SV111: $i] :
( ( ( elem @ ( m_Down @ SV111 ) @ SV33 )
= $false )
| ( ( ordered @ ( cons @ ( m_Halt @ SV81 ) @ SV33 ) )
= $false )
| ( ( ( host @ SV81 )
= ( host @ SV111 ) )
= $false )
| ( ( leq @ SV81 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(632,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
| ~ ( setIn @ SV112 @ alive ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(633,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ sK10_SY330 )
!= ( host @ sK8_SY328 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(634,plain,
( ( ~ ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) )
| ~ ( elem @ ( m_Down @ sK10_SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(635,plain,
! [SV25: $i,SV73: $i] :
( ( ( setIn @ SV73 @ alive )
= $false )
| ( ( leq @ SV73 @ SV25 )
= $false )
| ( ( setIn @ SV25 @ alive )
= $true )
| ( ( ( host @ SV73 )
= ( host @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(636,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) ) )
= $true )
| ( ( ~ ( setIn @ SV112 @ alive ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(637,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
| ( ( host @ sK10_SY330 )
!= ( host @ sK8_SY328 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(638,plain,
( ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) )
| ~ ( elem @ ( m_Down @ sK10_SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(639,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) ) )
= $false )
| ( ( ~ ( setIn @ SV112 @ alive ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(640,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(641,plain,
( ( ( host @ sK10_SY330 )
!= ( host @ sK8_SY328 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(642,plain,
( ( ~ ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(643,plain,
( ( ~ ( elem @ ( m_Down @ sK10_SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(644,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) )
| ~ ( setIn @ SV34 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV112 @ alive ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(645,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(646,plain,
( ( ( host @ sK10_SY330 )
= ( host @ sK8_SY328 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(647,plain,
( ( elem @ ( m_Down @ sK7_SY325 ) @ ( queue @ ( host @ sK8_SY328 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(648,plain,
( ( elem @ ( m_Down @ sK10_SY330 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY158 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(649,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ~ ( ( ( host @ SV112 )
!= ( host @ SV34 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV34 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV112 @ alive ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(650,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
| ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(651,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ( host @ SV112 )
!= ( host @ SV34 ) )
= $false )
| ( ( ~ ( setIn @ SV34 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV112 @ alive ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(652,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(653,plain,
( ( ( host @ sK7_SY325 )
!= ( host @ sK6_SY317 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(654,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( ~ ( setIn @ SV34 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV112 @ alive ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(655,plain,
( ( ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(656,plain,
( ( ( host @ sK7_SY325 )
= ( host @ sK6_SY317 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(657,plain,
! [SV120: $i,SV82: $i,SV112: $i,SV34: $i] :
( ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( ~ ( setIn @ SV112 @ alive ) )
= $true )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(658,plain,
( ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
| ~ ( setIn @ sK8_SY328 @ alive ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(659,plain,
! [SV120: $i,SV82: $i,SV34: $i,SV112: $i] :
( ( ( setIn @ SV112 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV82 )
!= ( host @ SV34 ) )
= $true )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(660,plain,
( ( ~ ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(661,plain,
( ( ~ ( setIn @ sK8_SY328 @ alive ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(662,plain,
! [SV120: $i,SV112: $i,SV34: $i,SV82: $i] :
( ( ( ( host @ SV82 )
= ( host @ SV34 ) )
= $false )
| ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( setIn @ SV112 @ alive )
= $false )
| ( ( ( host @ SV120 )
!= ( host @ SV112 ) )
= $true )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(663,plain,
( ( ~ ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(664,plain,
( ( setIn @ sK8_SY328 @ alive )
= $true ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(665,plain,
! [SV82: $i,SV34: $i,SV112: $i,SV120: $i] :
( ( ( ( host @ SV120 )
= ( host @ SV112 ) )
= $false )
| ( ( setIn @ SV112 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV82 )
= ( host @ SV34 ) )
= $false )
| ( ( ~ ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(666,plain,
( ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) )
| ~ ( setIn @ sK6_SY317 @ alive ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(667,plain,
! [SV112: $i,SV82: $i,SV34: $i,SV120: $i] :
( ( ( ~ ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) ) )
= $false )
| ( ( ( host @ SV82 )
= ( host @ SV34 ) )
= $false )
| ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( setIn @ SV112 @ alive )
= $false )
| ( ( ( host @ SV120 )
= ( host @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(668,plain,
( ( ~ ( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(669,plain,
( ( ~ ( setIn @ sK6_SY317 @ alive ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(670,plain,
! [SV112: $i,SV82: $i,SV34: $i,SV120: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) )
= $true )
| ( ( ( host @ SV82 )
= ( host @ SV34 ) )
= $false )
| ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( setIn @ SV112 @ alive )
= $false )
| ( ( ( host @ SV120 )
= ( host @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(671,plain,
( ( ( host @ sK8_SY328 )
!= ( host @ sK6_SY317 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(672,plain,
( ( setIn @ sK6_SY317 @ alive )
= $true ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(673,plain,
! [SV112: $i,SV82: $i,SV34: $i,SV120: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) )
= $true )
| ( ( ( host @ SV82 )
= ( host @ SV34 ) )
= $false )
| ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( setIn @ SV112 @ alive )
= $false )
| ( ( ( host @ SV120 )
= ( host @ SV112 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(674,plain,
( ( ( host @ sK8_SY328 )
= ( host @ sK6_SY317 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(675,plain,
! [SV112: $i,SV82: $i,SV34: $i,SV120: $i] :
( ( ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) ) )
= $true )
| ( ( ( host @ SV82 )
= ( host @ SV34 ) )
= $false )
| ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( setIn @ SV112 @ alive )
= $false )
| ( ( ( host @ SV120 )
= ( host @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(676,plain,
! [SV34: $i,SV120: $i,SV112: $i,SV82: $i] :
( ( ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV112 ) ) )
= $false )
| ( ( elem @ ( m_Down @ SV120 ) @ ( queue @ ( host @ SV34 ) ) )
= $false )
| ( ( ( host @ SV82 )
= ( host @ SV34 ) )
= $false )
| ( ( setIn @ SV34 @ alive )
= $false )
| ( ( ( host @ SV112 )
= ( host @ SV34 ) )
= $true )
| ( ( setIn @ SV112 @ alive )
= $false )
| ( ( ( host @ SV120 )
= ( host @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(677,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[194,676,674,672,664,656,648,647,646,635,631,627,624,622,619,614,613,611,610,609,594,593,592,591,590,587,586,584,582,581,580,579,578,573,572,571,565,557,545,544,543,527,526,515,502,500,487,486,483,480,478,475,469,450,442,439,438,421,415,409,407,401,399,394,392,381,378,377,375,373,369,368,324,322,321,319,318,317,316,314,281,274,267,265,264,261,256,255,199,198,197,196,195]) ).
thf(678,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV449+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 16:35:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.87/1.72
% 8.87/1.72 No.of.Axioms: 52
% 8.87/1.72
% 8.87/1.72 Length.of.Defs: 0
% 8.87/1.72
% 8.87/1.72 Contains.Choice.Funs: false
% 8.87/1.72 ........................
% 8.87/1.72
% 8.87/1.72 ********************************
% 8.87/1.72 * All subproblems solved! *
% 8.87/1.72 ********************************
% 8.87/1.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:66,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:677,loop_count:0,foatp_calls:1,translation:fof_full)
% 8.87/1.72
% 8.87/1.72 %**** Beginning of derivation protocol ****
% 8.87/1.72 % SZS output start CNFRefutation
% See solution above
% 8.87/1.73
% 8.87/1.73 %**** End of derivation protocol ****
% 8.87/1.73 %**** no. of clauses in derivation: 664 ****
% 8.87/1.73 %**** clause counter: 677 ****
% 8.87/1.73
% 8.87/1.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:66,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:677,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------