TSTP Solution File: SWV449+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV449+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 20:12:48 EDT 2022
% Result : Theorem 3.09s 3.31s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 117
% Syntax : Number of formulae : 942 ( 639 unt; 50 typ; 0 def)
% Number of atoms : 5309 (2409 equ; 0 cnn)
% Maximal formula atoms : 44 ( 5 avg)
% Number of connectives : 11261 (2347 ~;1468 |; 289 &;6963 @)
% ( 26 <=>; 168 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 50 usr; 26 con; 0-2 aty)
% Number of variables : 2148 ( 0 ^2146 !; 2 ?;2148 :)
% 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_Y,type,
sK10_Y: $i > $i > $i ).
thf(tp_sK11_Y,type,
sK11_Y: $i > $i > $i ).
thf(tp_sK12_Y,type,
sK12_Y: $i > $i ).
thf(tp_sK13_Y,type,
sK13_Y: $i > $i ).
thf(tp_sK1_V,type,
sK1_V: $i ).
thf(tp_sK2_SY147,type,
sK2_SY147: $i ).
thf(tp_sK3_SY174,type,
sK3_SY174: $i ).
thf(tp_sK4_SY200,type,
sK4_SY200: $i ).
thf(tp_sK5_SY244,type,
sK5_SY244: $i ).
thf(tp_sK6_SY249,type,
sK6_SY249: $i ).
thf(tp_sK7_SY253,type,
sK7_SY253: $i ).
thf(tp_sK8_SY256,type,
sK8_SY256: $i ).
thf(tp_sK9_SY258,type,
sK9_SY258: $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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_64) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( ( leq @ X @ Y )
& ( leq @ Y @ X ) )
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
| ( leq @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
thf(7,axiom,
! [X: $i] : ( leq @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
thf(8,axiom,
! [X: $i] :
~ ( leq @ ( s @ X ) @ X ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_57) ).
thf(10,axiom,
! [Q: $i,X: $i] :
( ( ordered @ Q )
=> ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_55) ).
thf(12,axiom,
! [X: $i,Q: $i] :
( ( ordered @ ( snoc @ Q @ X ) )
<=> ( ( ordered @ Q )
& ! [Y: $i] :
( ( ( elem @ Y @ Q )
& ( pidElem @ X )
& ( pidElem @ Y )
& ( ( host @ ( pidMsg @ Y ) )
= ( host @ ( pidMsg @ X ) ) ) )
=> ( leq @ ( pidMsg @ Y ) @ ( pidMsg @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
thf(13,axiom,
! [X: $i,Q: $i] :
( ( ordered @ ( cons @ X @ Q ) )
<=> ( ( ordered @ Q )
& ! [Y: $i] :
( ( ( elem @ Y @ Q )
& ( pidElem @ X )
& ( pidElem @ Y )
& ( ( host @ ( pidMsg @ Y ) )
= ( host @ ( pidMsg @ X ) ) ) )
=> ( leq @ ( pidMsg @ X ) @ ( pidMsg @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
thf(14,axiom,
! [X: $i] :
( ( ordered @ ( cons @ X @ q_nil ) )
& ( ordered @ ( snoc @ q_nil @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
thf(15,axiom,
ordered @ q_nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
thf(16,axiom,
! [X: $i] :
( ( pidMsg @ ( m_Down @ X ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
thf(17,axiom,
! [X: $i] :
( ( pidMsg @ ( m_Halt @ X ) )
= X ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_46) ).
thf(21,axiom,
! [X: $i] :
~ ( elem @ X @ q_nil ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(23,axiom,
! [X: $i] :
( ( cons @ X @ q_nil )
= ( snoc @ q_nil @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
thf(24,axiom,
! [Y: $i,Q: $i] :
( q_nil
!= ( snoc @ Q @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
thf(25,axiom,
! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
thf(26,axiom,
! [Q: $i] :
( ( Q = q_nil )
| ( Q
= ( snoc @ ( init @ Q ) @ ( last @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
thf(27,axiom,
! [Q: $i] :
( ( Q = q_nil )
| ( Q
= ( cons @ ( head @ Q ) @ ( tail @ Q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
thf(28,axiom,
! [Y: $i,Q: $i] :
( ( init @ ( snoc @ Q @ Y ) )
= Q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(29,axiom,
! [Y: $i,Q: $i] :
( ( last @ ( snoc @ Q @ Y ) )
= Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(30,axiom,
! [X: $i,Q: $i] :
( ( tail @ ( cons @ X @ Q ) )
= Q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
thf(31,axiom,
! [X: $i,Q: $i] :
( ( head @ ( cons @ X @ Q ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(32,axiom,
~ ( setIn @ nil @ alive ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(33,axiom,
! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
!= ( host @ Pid2 ) )
=> ( Pid != Pid2 ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(36,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Down @ X )
!= ( m_Down @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(37,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Ldr @ X )
!= ( m_Ldr @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(38,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_NotNorm @ X )
!= ( m_NotNorm @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(39,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_NormQ @ X )
!= ( m_NormQ @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(40,axiom,
! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(41,axiom,
! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_NotNorm @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(42,axiom,
! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NotNorm @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(43,axiom,
! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NormQ @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(44,axiom,
! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(45,axiom,
! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(46,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(47,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(48,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(49,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(50,axiom,
! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(51,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(52,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(53,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(54,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(55,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(56,axiom,
norm != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(57,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
thf(58,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
thf(59,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
thf(60,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
thf(61,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_05) ).
thf(62,axiom,
! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
thf(63,axiom,
leq @ ( s @ zero ) @ nbr_proc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).
thf(64,axiom,
! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
thf(65,axiom,
! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
= ( host @ Q ) )
=> ( ( host @ P )
!= ( host @ Q ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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,Q: $i] :
( ( ordered @ ( snoc @ Q @ X ) )
<=> ( ( ordered @ Q )
& ! [Y: $i] :
( ( ( elem @ Y @ Q )
& ( pidElem @ X )
& ( pidElem @ Y )
& ( ( host @ ( pidMsg @ Y ) )
= ( host @ ( pidMsg @ X ) ) ) )
=> ( leq @ ( pidMsg @ Y ) @ ( pidMsg @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(82,plain,
( ( ! [X: $i,Q: $i] :
( ( ordered @ ( cons @ X @ Q ) )
<=> ( ( ordered @ Q )
& ! [Y: $i] :
( ( ( elem @ Y @ Q )
& ( pidElem @ X )
& ( pidElem @ Y )
& ( ( host @ ( pidMsg @ Y ) )
= ( host @ ( pidMsg @ X ) ) ) )
=> ( leq @ ( pidMsg @ X ) @ ( pidMsg @ Y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(83,plain,
( ( ! [X: $i] :
( ( ordered @ ( cons @ X @ q_nil ) )
& ( ordered @ ( snoc @ q_nil @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(84,plain,
( ( ordered @ q_nil )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(85,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Down @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(86,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Halt @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(87,plain,
( ( ! [X: $i] :
( ( pidElem @ X )
<=> ? [Y: $i] :
( ( X
= ( m_Halt @ Y ) )
| ( X
= ( m_Down @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(88,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(89,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(90,plain,
( ( ! [X: $i] :
~ ( elem @ X @ q_nil ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(91,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(92,plain,
( ( ! [X: $i] :
( ( cons @ X @ q_nil )
= ( snoc @ q_nil @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(93,plain,
( ( ! [Y: $i,Q: $i] :
( q_nil
!= ( snoc @ Q @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(94,plain,
( ( ! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(95,plain,
( ( ! [Q: $i] :
( ( Q = q_nil )
| ( Q
= ( snoc @ ( init @ Q ) @ ( last @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(96,plain,
( ( ! [Q: $i] :
( ( Q = q_nil )
| ( Q
= ( cons @ ( head @ Q ) @ ( tail @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(97,plain,
( ( ! [Y: $i,Q: $i] :
( ( init @ ( snoc @ Q @ Y ) )
= Q ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(98,plain,
( ( ! [Y: $i,Q: $i] :
( ( last @ ( snoc @ Q @ Y ) )
= Y ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(99,plain,
( ( ! [X: $i,Q: $i] :
( ( tail @ ( cons @ X @ Q ) )
= Q ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(100,plain,
( ( ! [X: $i,Q: $i] :
( ( head @ ( cons @ X @ Q ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(101,plain,
( ( ~ ( setIn @ nil @ alive ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(102,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
!= ( host @ Pid2 ) )
=> ( Pid != Pid2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(103,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(104,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(105,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Down @ X )
!= ( m_Down @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(106,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Ldr @ X )
!= ( m_Ldr @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(107,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_NotNorm @ X )
!= ( m_NotNorm @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(108,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_NormQ @ X )
!= ( m_NormQ @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(109,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
<=> ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(110,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(111,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(112,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(113,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(114,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(115,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(116,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(117,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(118,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(119,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(120,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(121,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(122,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(123,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(124,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(125,plain,
( ( ( norm != wait ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(126,plain,
( ( ( elec_2 != norm ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(127,plain,
( ( ( elec_2 != wait ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(128,plain,
( ( ( elec_1 != norm ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(129,plain,
( ( ( elec_1 != wait ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(130,plain,
( ( ( elec_1 != elec_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(131,plain,
( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(132,plain,
( ( leq @ ( s @ zero ) @ nbr_proc )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(133,plain,
( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(134,plain,
( ( ! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
= ( host @ Q ) )
=> ( ( host @ P )
!= ( host @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(135,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(136,plain,
( ( ! [SY147: $i,SY148: $i,SY149: $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 @ SY148 ) )
= ( cons @ ( m_Ack @ SY147 @ SY149 ) @ sK1_V ) ) )
=> ( ( setIn @ SY148 @ alive )
=> ( ( ( ( index @ elid @ ( host @ SY148 ) )
= SY147 )
& ( ( index @ status @ ( host @ SY148 ) )
= elec_2 )
& ( ( host @ SY149 )
= ( index @ pendack @ ( host @ SY148 ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ SY148 ) ) )
=> ! [SY169: $i] :
( ( ( setIn @ ( host @ SY169 ) @ ( index @ acks @ ( host @ SY148 ) ) )
| ( ( host @ SY169 )
= ( host @ SY149 ) ) )
=> ! [SY170: $i] :
( ( ( host @ SY169 )
= ( host @ SY170 ) )
=> ( ( ( host @ SY148 )
= ( host @ SY170 ) )
=> ! [SY171: $i,SY172: $i] :
( ( ( host @ SY169 )
!= ( host @ SY172 ) )
=> ( ( ( host @ SY148 )
!= ( host @ SY172 ) )
=> ! [SY173: $i] :
( ( ( ( host @ SY172 )
!= ( host @ SY170 ) )
& ( setIn @ SY170 @ alive )
& ( setIn @ SY172 @ alive )
& ( ( host @ SY171 )
= ( host @ SY170 ) )
& ( ( host @ SY173 )
= ( host @ SY172 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY171 ) @ ( queue @ ( host @ SY172 ) ) )
& ( elem @ ( m_Down @ SY173 ) @ ( snoc @ sK1_V @ ( m_Ldr @ SY148 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(137,plain,
( ( ! [SY174: $i,SY175: $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 @ SY174 ) )
= ( cons @ ( m_Ack @ sK2_SY147 @ SY175 ) @ sK1_V ) ) )
=> ( ( setIn @ SY174 @ alive )
=> ( ( ( ( index @ elid @ ( host @ SY174 ) )
= sK2_SY147 )
& ( ( index @ status @ ( host @ SY174 ) )
= elec_2 )
& ( ( host @ SY175 )
= ( index @ pendack @ ( host @ SY174 ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ SY174 ) ) )
=> ! [SY169: $i] :
( ( ( setIn @ ( host @ SY169 ) @ ( index @ acks @ ( host @ SY174 ) ) )
| ( ( host @ SY169 )
= ( host @ SY175 ) ) )
=> ! [SY170: $i] :
( ( ( host @ SY169 )
= ( host @ SY170 ) )
=> ( ( ( host @ SY174 )
= ( host @ SY170 ) )
=> ! [SY171: $i,SY172: $i] :
( ( ( host @ SY169 )
!= ( host @ SY172 ) )
=> ( ( ( host @ SY174 )
!= ( host @ SY172 ) )
=> ! [SY173: $i] :
( ( ( ( host @ SY172 )
!= ( host @ SY170 ) )
& ( setIn @ SY170 @ alive )
& ( setIn @ SY172 @ alive )
& ( ( host @ SY171 )
= ( host @ SY170 ) )
& ( ( host @ SY173 )
= ( host @ SY172 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY171 ) @ ( queue @ ( host @ SY172 ) ) )
& ( elem @ ( m_Down @ SY173 ) @ ( snoc @ sK1_V @ ( m_Ldr @ SY174 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(138,plain,
( ( ! [SY200: $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_SY174 ) )
= ( cons @ ( m_Ack @ sK2_SY147 @ SY200 ) @ sK1_V ) ) )
=> ( ( setIn @ sK3_SY174 @ alive )
=> ( ( ( ( index @ elid @ ( host @ sK3_SY174 ) )
= sK2_SY147 )
& ( ( index @ status @ ( host @ sK3_SY174 ) )
= elec_2 )
& ( ( host @ SY200 )
= ( index @ pendack @ ( host @ sK3_SY174 ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sK3_SY174 ) ) )
=> ! [SY220: $i] :
( ( ( setIn @ ( host @ SY220 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) )
| ( ( host @ SY220 )
= ( host @ SY200 ) ) )
=> ! [SY221: $i] :
( ( ( host @ SY220 )
= ( host @ SY221 ) )
=> ( ( ( host @ sK3_SY174 )
= ( host @ SY221 ) )
=> ! [SY222: $i,SY223: $i] :
( ( ( host @ SY220 )
!= ( host @ SY223 ) )
=> ( ( ( host @ sK3_SY174 )
!= ( host @ SY223 ) )
=> ! [SY224: $i] :
( ( ( ( host @ SY223 )
!= ( host @ SY221 ) )
& ( setIn @ SY221 @ alive )
& ( setIn @ SY223 @ alive )
& ( ( host @ SY222 )
= ( host @ SY221 ) )
& ( ( host @ SY224 )
= ( host @ SY223 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY222 ) @ ( queue @ ( host @ SY223 ) ) )
& ( elem @ ( m_Down @ SY224 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[137]) ).
thf(139,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_SY174 ) )
= ( cons @ ( m_Ack @ sK2_SY147 @ sK4_SY200 ) @ sK1_V ) ) )
=> ( ( setIn @ sK3_SY174 @ alive )
=> ( ( ( ( index @ elid @ ( host @ sK3_SY174 ) )
= sK2_SY147 )
& ( ( index @ status @ ( host @ sK3_SY174 ) )
= elec_2 )
& ( ( host @ sK4_SY200 )
= ( index @ pendack @ ( host @ sK3_SY174 ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sK3_SY174 ) ) )
=> ! [SY244: $i] :
( ( ( setIn @ ( host @ SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) )
| ( ( host @ SY244 )
= ( host @ sK4_SY200 ) ) )
=> ! [SY221: $i] :
( ( ( host @ SY244 )
= ( host @ SY221 ) )
=> ( ( ( host @ sK3_SY174 )
= ( host @ SY221 ) )
=> ! [SY222: $i,SY223: $i] :
( ( ( host @ SY244 )
!= ( host @ SY223 ) )
=> ( ( ( host @ sK3_SY174 )
!= ( host @ SY223 ) )
=> ! [SY224: $i] :
( ( ( ( host @ SY223 )
!= ( host @ SY221 ) )
& ( setIn @ SY221 @ alive )
& ( setIn @ SY223 @ alive )
& ( ( host @ SY222 )
= ( host @ SY221 ) )
& ( ( host @ SY224 )
= ( host @ SY223 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY222 ) @ ( queue @ ( host @ SY223 ) ) )
& ( elem @ ( m_Down @ SY224 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[138]) ).
thf(140,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(141,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(142,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(143,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(144,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)],[139]) ).
thf(145,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(146,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(147,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)],[139]) ).
thf(148,plain,
( ( ( queue @ ( host @ sK3_SY174 ) )
= ( cons @ ( m_Ack @ sK2_SY147 @ sK4_SY200 ) @ sK1_V ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(149,plain,
( ( setIn @ sK3_SY174 @ alive )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(150,plain,
( ( ( index @ elid @ ( host @ sK3_SY174 ) )
= sK2_SY147 )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(151,plain,
( ( ( index @ status @ ( host @ sK3_SY174 ) )
= elec_2 )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(152,plain,
( ( ( host @ sK4_SY200 )
= ( index @ pendack @ ( host @ sK3_SY174 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(153,plain,
( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sK3_SY174 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(154,plain,
( ( ! [SY244: $i] :
( ( ( setIn @ ( host @ SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) )
| ( ( host @ SY244 )
= ( host @ sK4_SY200 ) ) )
=> ! [SY221: $i] :
( ( ( host @ SY244 )
= ( host @ SY221 ) )
=> ( ( ( host @ sK3_SY174 )
= ( host @ SY221 ) )
=> ! [SY222: $i,SY223: $i] :
( ( ( host @ SY244 )
!= ( host @ SY223 ) )
=> ( ( ( host @ sK3_SY174 )
!= ( host @ SY223 ) )
=> ! [SY224: $i] :
( ( ( ( host @ SY223 )
!= ( host @ SY221 ) )
& ( setIn @ SY221 @ alive )
& ( setIn @ SY223 @ alive )
& ( ( host @ SY222 )
= ( host @ SY221 ) )
& ( ( host @ SY224 )
= ( host @ SY223 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY222 ) @ ( queue @ ( host @ SY223 ) ) )
& ( elem @ ( m_Down @ SY224 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[139]) ).
thf(155,plain,
( ( ~ ! [SY244: $i] :
( ( ( setIn @ ( host @ SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) )
| ( ( host @ SY244 )
= ( host @ sK4_SY200 ) ) )
=> ! [SY221: $i] :
( ( ( host @ SY244 )
= ( host @ SY221 ) )
=> ( ( ( host @ sK3_SY174 )
= ( host @ SY221 ) )
=> ! [SY222: $i,SY223: $i] :
( ( ( host @ SY244 )
!= ( host @ SY223 ) )
=> ( ( ( host @ sK3_SY174 )
!= ( host @ SY223 ) )
=> ! [SY224: $i] :
( ( ( ( host @ SY223 )
!= ( host @ SY221 ) )
& ( setIn @ SY221 @ alive )
& ( setIn @ SY223 @ alive )
& ( ( host @ SY222 )
= ( host @ SY221 ) )
& ( ( host @ SY224 )
= ( host @ SY223 ) ) )
=> ~ ( ( elem @ ( m_Down @ SY222 ) @ ( queue @ ( host @ SY223 ) ) )
& ( elem @ ( m_Down @ SY224 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[154]) ).
thf(156,plain,
( ( ( ( ( host @ sK5_SY244 )
= ( host @ sK4_SY200 ) )
| ( setIn @ ( host @ sK5_SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) ) )
& ( ( host @ sK5_SY244 )
= ( host @ sK6_SY249 ) )
& ( ( host @ sK3_SY174 )
= ( host @ sK6_SY249 ) )
& ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) )
& ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) )
& ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) )
& ( setIn @ sK6_SY249 @ alive )
& ( setIn @ sK8_SY256 @ alive )
& ( ( host @ sK7_SY253 )
= ( host @ sK6_SY249 ) )
& ( ( host @ sK9_SY258 )
= ( host @ sK8_SY256 ) )
& ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
& ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[155]) ).
thf(157,plain,
( ( ! [Z: $i,Pid0: $i] :
( ~ ( setIn @ Pid0 @ alive )
| ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(158,plain,
( ( ! [Z: $i,Pid0: $i] :
( ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
| ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[141]) ).
thf(159,plain,
( ( ! [Z: $i,Pid0: $i] :
( ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
| ( ( host @ Pid0 )
!= ( host @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[142]) ).
thf(160,plain,
( ( ! [Z: $i,Pid0: $i] :
( ~ ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
| ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[143]) ).
thf(161,plain,
( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
( ~ ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
| ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[144]) ).
thf(162,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Z @ alive )
| ~ ( leq @ Pid0 @ Z )
| ( ( host @ Pid0 )
!= ( host @ Z ) )
| ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[145]) ).
thf(163,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( Pid0 = Z )
| ( ( host @ Pid0 )
!= ( host @ Z ) )
| ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[146]) ).
thf(164,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(extcnf_combined,[status(esa)],[147]) ).
thf(165,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ ( s @ Y ) )
| ( X
= ( s @ Y ) )
| ( leq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X
!= ( s @ Y ) )
| ( leq @ X @ ( s @ Y ) ) )
& ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ( leq @ X @ ( s @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(166,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ( leq @ ( s @ X ) @ ( s @ Y ) ) )
& ! [X: $i,Y: $i] :
( ~ ( leq @ ( s @ X ) @ ( s @ Y ) )
| ( leq @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(167,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ Z )
| ( leq @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(168,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ X )
| ( X = Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( leq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( leq @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(169,plain,
( ( ! [Q: $i,X: $i,Y: $i] :
( ( ( host @ X )
!= ( host @ Y ) )
| ~ ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
| ~ ( elem @ ( m_Down @ Y ) @ Q )
| ( leq @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(170,plain,
( ( ! [Q: $i] :
( ~ ( ordered @ Q )
| ! [X: $i] : ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(171,plain,
( ( ! [Q: $i] :
( ~ ( ordered @ Q )
| ! [X: $i,Y: $i] : ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(172,plain,
( ( ! [X: $i,Q: $i] :
( ( ( elem @ ( sK10_Y @ Q @ X ) @ Q )
& ( pidElem @ X )
& ( pidElem @ ( sK10_Y @ Q @ X ) )
& ( ( host @ ( pidMsg @ ( sK10_Y @ Q @ X ) ) )
= ( host @ ( pidMsg @ X ) ) )
& ~ ( leq @ ( pidMsg @ ( sK10_Y @ Q @ X ) ) @ ( pidMsg @ X ) ) )
| ~ ( ordered @ Q )
| ( ordered @ ( snoc @ Q @ X ) ) )
& ! [X: $i,Q: $i] :
( ~ ( ordered @ ( snoc @ Q @ X ) )
| ! [Y: $i] :
( ~ ( elem @ Y @ Q )
| ~ ( pidElem @ X )
| ~ ( pidElem @ Y )
| ( ( host @ ( pidMsg @ Y ) )
!= ( host @ ( pidMsg @ X ) ) )
| ( leq @ ( pidMsg @ Y ) @ ( pidMsg @ X ) ) ) )
& ! [X: $i,Q: $i] :
( ~ ( ordered @ ( snoc @ Q @ X ) )
| ( ordered @ Q ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(173,plain,
( ( ! [X: $i,Q: $i] :
( ( ( elem @ ( sK11_Y @ Q @ X ) @ Q )
& ( pidElem @ X )
& ( pidElem @ ( sK11_Y @ Q @ X ) )
& ( ( host @ ( pidMsg @ ( sK11_Y @ Q @ X ) ) )
= ( host @ ( pidMsg @ X ) ) )
& ~ ( leq @ ( pidMsg @ X ) @ ( pidMsg @ ( sK11_Y @ Q @ X ) ) ) )
| ~ ( ordered @ Q )
| ( ordered @ ( cons @ X @ Q ) ) )
& ! [X: $i,Q: $i] :
( ~ ( ordered @ ( cons @ X @ Q ) )
| ! [Y: $i] :
( ~ ( elem @ Y @ Q )
| ~ ( pidElem @ X )
| ~ ( pidElem @ Y )
| ( ( host @ ( pidMsg @ Y ) )
!= ( host @ ( pidMsg @ X ) ) )
| ( leq @ ( pidMsg @ X ) @ ( pidMsg @ Y ) ) ) )
& ! [X: $i,Q: $i] :
( ~ ( ordered @ ( cons @ X @ Q ) )
| ( ordered @ Q ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(174,plain,
( ( ! [X: $i] : ( ordered @ ( cons @ X @ q_nil ) )
& ! [X: $i] : ( ordered @ ( snoc @ q_nil @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(175,plain,
( ( ! [X: $i] :
( ( ! [Y: $i] :
( X
!= ( m_Halt @ Y ) )
& ! [Y: $i] :
( X
!= ( m_Down @ Y ) ) )
| ( pidElem @ X ) )
& ! [X: $i] :
( ~ ( pidElem @ X )
| ( X
= ( m_Halt @ ( sK13_Y @ X ) ) )
| ( X
= ( m_Down @ ( sK12_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(176,plain,
( ( ! [X: $i] :
( ! [Y: $i,Q: $i] :
( ~ ( elem @ X @ ( snoc @ Q @ Y ) )
| ( X = Y )
| ( elem @ X @ Q ) )
& ! [Y: $i] :
( ( X != Y )
| ! [Q: $i] : ( elem @ X @ ( snoc @ Q @ Y ) ) )
& ! [Y: $i,Q: $i] :
( ~ ( elem @ X @ Q )
| ( elem @ X @ ( snoc @ Q @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(177,plain,
( ( ! [X: $i] :
( ! [Y: $i,Q: $i] :
( ~ ( elem @ X @ ( cons @ Y @ Q ) )
| ( X = Y )
| ( elem @ X @ Q ) )
& ! [Y: $i] :
( ( X != Y )
| ! [Q: $i] : ( elem @ X @ ( cons @ Y @ Q ) ) )
& ! [Y: $i,Q: $i] :
( ~ ( elem @ X @ Q )
| ( elem @ X @ ( cons @ Y @ Q ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(178,plain,
( ( ! [Y: $i,Q: $i] :
( q_nil
!= ( snoc @ Q @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(179,plain,
( ( ! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(180,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
= ( host @ Pid2 ) )
| ( Pid != Pid2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(181,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( Y1 = Y2 )
| ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(182,plain,
( ( ! [X1: $i,X2: $i] :
( ( X1 = X2 )
| ! [Y1: $i,Y2: $i] :
( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[104]) ).
thf(183,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_Down @ X )
!= ( m_Down @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_Down @ X )
= ( m_Down @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[105]) ).
thf(184,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_Ldr @ X )
!= ( m_Ldr @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_Ldr @ X )
= ( m_Ldr @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[106]) ).
thf(185,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_NotNorm @ X )
!= ( m_NotNorm @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_NotNorm @ X )
= ( m_NotNorm @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(186,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_NormQ @ X )
!= ( m_NormQ @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_NormQ @ X )
= ( m_NormQ @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[108]) ).
thf(187,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_Halt @ X )
= ( m_Halt @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[109]) ).
thf(188,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[110]) ).
thf(189,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(190,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(191,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(192,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(193,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[115]) ).
thf(194,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[116]) ).
thf(195,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(196,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[118]) ).
thf(197,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(198,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[120]) ).
thf(199,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[121]) ).
thf(200,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(201,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(202,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(203,plain,
( ( ( norm != wait ) )
= $true ),
inference(extcnf_combined,[status(esa)],[125]) ).
thf(204,plain,
( ( ( elec_2 != norm ) )
= $true ),
inference(extcnf_combined,[status(esa)],[126]) ).
thf(205,plain,
( ( ( elec_2 != wait ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(206,plain,
( ( ( elec_1 != norm ) )
= $true ),
inference(extcnf_combined,[status(esa)],[128]) ).
thf(207,plain,
( ( ( elec_1 != wait ) )
= $true ),
inference(extcnf_combined,[status(esa)],[129]) ).
thf(208,plain,
( ( ( elec_1 != elec_2 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[130]) ).
thf(209,plain,
( ( ! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
!= ( host @ Q ) )
| ( ( host @ P )
!= ( host @ Q ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[134]) ).
thf(210,plain,
( ( ! [Pid: $i] :
( ! [Pid2: $i] :
~ ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
| ( setIn @ Pid @ pids ) )
& ! [Pid: $i,Pid2: $i] :
( ~ ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
| ( setIn @ Pid2 @ pids ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[135]) ).
thf(211,plain,
( ( ! [Pid: $i] :
( ! [Pid2: $i] :
~ ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
| ( setIn @ Pid @ pids ) )
& ! [Pid: $i,Pid2: $i] :
( ~ ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
| ( setIn @ Pid2 @ pids ) ) )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(212,plain,
( ( ! [P: $i,Q: $i] :
( ( ( s @ ( host @ P ) )
!= ( host @ Q ) )
| ( ( host @ P )
!= ( host @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[209]) ).
thf(213,plain,
( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(214,plain,
( ( leq @ ( s @ zero ) @ nbr_proc )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(215,plain,
( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(216,plain,
( ( ( elec_1 != elec_2 ) )
= $true ),
inference(copy,[status(thm)],[208]) ).
thf(217,plain,
( ( ( elec_1 != wait ) )
= $true ),
inference(copy,[status(thm)],[207]) ).
thf(218,plain,
( ( ( elec_1 != norm ) )
= $true ),
inference(copy,[status(thm)],[206]) ).
thf(219,plain,
( ( ( elec_2 != wait ) )
= $true ),
inference(copy,[status(thm)],[205]) ).
thf(220,plain,
( ( ( elec_2 != norm ) )
= $true ),
inference(copy,[status(thm)],[204]) ).
thf(221,plain,
( ( ( norm != wait ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(222,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Halt @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[202]) ).
thf(223,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Down @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(224,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NotNorm @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(225,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_Ldr @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(226,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( m_Ack @ X @ Y )
!= ( m_NormQ @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(227,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NotNorm @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(228,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(229,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(230,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(231,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(232,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(233,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_Halt @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(234,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NormQ @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(235,plain,
( ( ! [X: $i,Y: $i] :
( ( m_Ldr @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(236,plain,
( ( ! [X: $i,Y: $i] :
( ( m_NormQ @ X )
!= ( m_NotNorm @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(237,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_Halt @ X )
!= ( m_Halt @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_Halt @ X )
= ( m_Halt @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(238,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_NormQ @ X )
!= ( m_NormQ @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_NormQ @ X )
= ( m_NormQ @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(239,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_NotNorm @ X )
!= ( m_NotNorm @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_NotNorm @ X )
= ( m_NotNorm @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(240,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_Ldr @ X )
!= ( m_Ldr @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_Ldr @ X )
= ( m_Ldr @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(241,plain,
( ( ! [X: $i,Y: $i] :
( ( X = Y )
| ( ( m_Down @ X )
!= ( m_Down @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( m_Down @ X )
= ( m_Down @ Y ) )
| ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(242,plain,
( ( ! [X1: $i,X2: $i] :
( ( X1 = X2 )
| ! [Y1: $i,Y2: $i] :
( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(243,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ( Y1 = Y2 )
| ( ( m_Ack @ X1 @ Y1 )
!= ( m_Ack @ X2 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(244,plain,
( ( ! [Pid: $i,Pid2: $i] :
( ( ( host @ Pid )
= ( host @ Pid2 ) )
| ( Pid != Pid2 ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(245,plain,
( ( ~ ( setIn @ nil @ alive ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(246,plain,
( ( ! [X: $i,Q: $i] :
( ( head @ ( cons @ X @ Q ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(247,plain,
( ( ! [X: $i,Q: $i] :
( ( tail @ ( cons @ X @ Q ) )
= Q ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(248,plain,
( ( ! [Y: $i,Q: $i] :
( ( last @ ( snoc @ Q @ Y ) )
= Y ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(249,plain,
( ( ! [Y: $i,Q: $i] :
( ( init @ ( snoc @ Q @ Y ) )
= Q ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(250,plain,
( ( ! [Q: $i] :
( ( Q = q_nil )
| ( Q
= ( cons @ ( head @ Q ) @ ( tail @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(251,plain,
( ( ! [Q: $i] :
( ( Q = q_nil )
| ( Q
= ( snoc @ ( init @ Q ) @ ( last @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(252,plain,
( ( ! [X: $i,Q: $i] :
( q_nil
!= ( cons @ X @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(253,plain,
( ( ! [Y: $i,Q: $i] :
( q_nil
!= ( snoc @ Q @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(254,plain,
( ( ! [X: $i] :
( ( cons @ X @ q_nil )
= ( snoc @ q_nil @ X ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(255,plain,
( ( ! [X: $i,Y: $i,Q: $i] :
( ( snoc @ ( cons @ X @ Q ) @ Y )
= ( cons @ X @ ( snoc @ Q @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(256,plain,
( ( ! [X: $i] :
~ ( elem @ X @ q_nil ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(257,plain,
( ( ! [X: $i] :
( ! [Y: $i,Q: $i] :
( ~ ( elem @ X @ ( cons @ Y @ Q ) )
| ( X = Y )
| ( elem @ X @ Q ) )
& ! [Y: $i] :
( ( X != Y )
| ! [Q: $i] : ( elem @ X @ ( cons @ Y @ Q ) ) )
& ! [Y: $i,Q: $i] :
( ~ ( elem @ X @ Q )
| ( elem @ X @ ( cons @ Y @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(258,plain,
( ( ! [X: $i] :
( ! [Y: $i,Q: $i] :
( ~ ( elem @ X @ ( snoc @ Q @ Y ) )
| ( X = Y )
| ( elem @ X @ Q ) )
& ! [Y: $i] :
( ( X != Y )
| ! [Q: $i] : ( elem @ X @ ( snoc @ Q @ Y ) ) )
& ! [Y: $i,Q: $i] :
( ~ ( elem @ X @ Q )
| ( elem @ X @ ( snoc @ Q @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(259,plain,
( ( ! [X: $i] :
( ( ! [Y: $i] :
( X
!= ( m_Halt @ Y ) )
& ! [Y: $i] :
( X
!= ( m_Down @ Y ) ) )
| ( pidElem @ X ) )
& ! [X: $i] :
( ~ ( pidElem @ X )
| ( X
= ( m_Halt @ ( sK13_Y @ X ) ) )
| ( X
= ( m_Down @ ( sK12_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(260,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Halt @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(261,plain,
( ( ! [X: $i] :
( ( pidMsg @ ( m_Down @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(262,plain,
( ( ordered @ q_nil )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(263,plain,
( ( ! [X: $i] : ( ordered @ ( cons @ X @ q_nil ) )
& ! [X: $i] : ( ordered @ ( snoc @ q_nil @ X ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(264,plain,
( ( ! [X: $i,Q: $i] :
( ( ( elem @ ( sK11_Y @ Q @ X ) @ Q )
& ( pidElem @ X )
& ( pidElem @ ( sK11_Y @ Q @ X ) )
& ( ( host @ ( pidMsg @ ( sK11_Y @ Q @ X ) ) )
= ( host @ ( pidMsg @ X ) ) )
& ~ ( leq @ ( pidMsg @ X ) @ ( pidMsg @ ( sK11_Y @ Q @ X ) ) ) )
| ~ ( ordered @ Q )
| ( ordered @ ( cons @ X @ Q ) ) )
& ! [X: $i,Q: $i] :
( ~ ( ordered @ ( cons @ X @ Q ) )
| ! [Y: $i] :
( ~ ( elem @ Y @ Q )
| ~ ( pidElem @ X )
| ~ ( pidElem @ Y )
| ( ( host @ ( pidMsg @ Y ) )
!= ( host @ ( pidMsg @ X ) ) )
| ( leq @ ( pidMsg @ X ) @ ( pidMsg @ Y ) ) ) )
& ! [X: $i,Q: $i] :
( ~ ( ordered @ ( cons @ X @ Q ) )
| ( ordered @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(265,plain,
( ( ! [X: $i,Q: $i] :
( ( ( elem @ ( sK10_Y @ Q @ X ) @ Q )
& ( pidElem @ X )
& ( pidElem @ ( sK10_Y @ Q @ X ) )
& ( ( host @ ( pidMsg @ ( sK10_Y @ Q @ X ) ) )
= ( host @ ( pidMsg @ X ) ) )
& ~ ( leq @ ( pidMsg @ ( sK10_Y @ Q @ X ) ) @ ( pidMsg @ X ) ) )
| ~ ( ordered @ Q )
| ( ordered @ ( snoc @ Q @ X ) ) )
& ! [X: $i,Q: $i] :
( ~ ( ordered @ ( snoc @ Q @ X ) )
| ! [Y: $i] :
( ~ ( elem @ Y @ Q )
| ~ ( pidElem @ X )
| ~ ( pidElem @ Y )
| ( ( host @ ( pidMsg @ Y ) )
!= ( host @ ( pidMsg @ X ) ) )
| ( leq @ ( pidMsg @ Y ) @ ( pidMsg @ X ) ) ) )
& ! [X: $i,Q: $i] :
( ~ ( ordered @ ( snoc @ Q @ X ) )
| ( ordered @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(266,plain,
( ( ! [Q: $i] :
( ~ ( ordered @ Q )
| ! [X: $i,Y: $i] : ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(267,plain,
( ( ! [Q: $i] :
( ~ ( ordered @ Q )
| ! [X: $i] : ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(268,plain,
( ( ! [Q: $i,X: $i,Y: $i] :
( ( ( host @ X )
!= ( host @ Y ) )
| ~ ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
| ~ ( elem @ ( m_Down @ Y ) @ Q )
| ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(269,plain,
( ( ! [X: $i] :
~ ( leq @ ( s @ X ) @ X ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(270,plain,
( ( ! [X: $i] : ( leq @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(271,plain,
( ( ! [X: $i,Y: $i] :
( ( leq @ X @ Y )
| ( leq @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(272,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ X )
| ( X = Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( leq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( leq @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(273,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( leq @ X @ Y )
| ~ ( leq @ Y @ Z )
| ( leq @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(274,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ( leq @ ( s @ X ) @ ( s @ Y ) ) )
& ! [X: $i,Y: $i] :
( ~ ( leq @ ( s @ X ) @ ( s @ Y ) )
| ( leq @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(275,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( leq @ X @ ( s @ Y ) )
| ( X
= ( s @ Y ) )
| ( leq @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X
!= ( s @ Y ) )
| ( leq @ X @ ( s @ Y ) ) )
& ! [X: $i,Y: $i] :
( ~ ( leq @ X @ Y )
| ( leq @ X @ ( s @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(276,plain,
( ( ! [X: $i] :
~ ( setIn @ X @ setEmpty ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(277,plain,
( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ sK3_SY174 ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(278,plain,
( ( ( host @ sK4_SY200 )
= ( index @ pendack @ ( host @ sK3_SY174 ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(279,plain,
( ( ( index @ status @ ( host @ sK3_SY174 ) )
= elec_2 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(280,plain,
( ( ( index @ elid @ ( host @ sK3_SY174 ) )
= sK2_SY147 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(281,plain,
( ( setIn @ sK3_SY174 @ alive )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(282,plain,
( ( ( queue @ ( host @ sK3_SY174 ) )
= ( cons @ ( m_Ack @ sK2_SY147 @ sK4_SY200 ) @ sK1_V ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(283,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)],[164]) ).
thf(284,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( Pid0 = Z )
| ( ( host @ Pid0 )
!= ( host @ Z ) )
| ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(285,plain,
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Z @ alive )
| ~ ( leq @ Pid0 @ Z )
| ( ( host @ Pid0 )
!= ( host @ Z ) )
| ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(286,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)],[161]) ).
thf(287,plain,
( ( ! [Z: $i,Pid0: $i] :
( ~ ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
| ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(288,plain,
( ( ! [Z: $i,Pid0: $i] :
( ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
| ( ( host @ Pid0 )
!= ( host @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(289,plain,
( ( ! [Z: $i,Pid0: $i] :
( ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
| ~ ( setIn @ Pid0 @ alive ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(290,plain,
( ( ! [Z: $i,Pid0: $i] :
( ~ ( setIn @ Pid0 @ alive )
| ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(291,plain,
( ( ( ( ( host @ sK5_SY244 )
= ( host @ sK4_SY200 ) )
| ( setIn @ ( host @ sK5_SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) ) )
& ( ( host @ sK5_SY244 )
= ( host @ sK6_SY249 ) )
& ( ( host @ sK3_SY174 )
= ( host @ sK6_SY249 ) )
& ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) )
& ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) )
& ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) )
& ( setIn @ sK6_SY249 @ alive )
& ( setIn @ sK8_SY256 @ alive )
& ( ( host @ sK7_SY253 )
= ( host @ sK6_SY249 ) )
& ( ( host @ sK9_SY258 )
= ( host @ sK8_SY256 ) )
& ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
& ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(292,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_NormQ @ SX0 )
!= ( m_NormQ @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_NormQ @ SX0 )
= ( m_NormQ @ SX1 ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(293,plain,
( ( ~ ( ~ ! [SX0: $i] : ( ordered @ ( cons @ SX0 @ q_nil ) )
| ~ ! [SX0: $i] : ( ordered @ ( snoc @ q_nil @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(294,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( pidElem @ SX0 ) )
| ~ ( pidElem @ ( sK10_Y @ SX1 @ SX0 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SX1 @ SX0 ) ) )
!= ( host @ ( pidMsg @ SX0 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SX1 @ SX0 ) ) @ ( pidMsg @ SX0 ) ) )
| ~ ( ordered @ SX1 )
| ( ordered @ ( snoc @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ( ordered @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(295,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(296,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ! [SX1: $i] :
( SX0
!= ( m_Halt @ SX1 ) )
| ~ ! [SX1: $i] :
( SX0
!= ( m_Down @ SX1 ) ) )
| ( pidElem @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( pidElem @ SX0 )
| ( SX0
= ( m_Halt @ ( sK13_Y @ SX0 ) ) )
| ( SX0
= ( m_Down @ ( sK12_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(297,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ ( s @ SX1 ) )
| ( SX0
= ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( s @ SX1 ) )
| ( leq @ SX0 @ ( s @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(298,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) )
| ( SX0 = SX1 )
| ( elem @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i] : ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( elem @ SX0 @ SX2 )
| ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(299,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_NotNorm @ SX0 )
!= ( m_NotNorm @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_NotNorm @ SX0 )
= ( m_NotNorm @ SX1 ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(300,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Ldr @ SX0 )
!= ( m_Ldr @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Ldr @ SX0 )
= ( m_Ldr @ SX1 ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(301,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) )
| ( SX0 = SX1 )
| ( elem @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i] : ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( elem @ SX0 @ SX2 )
| ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(302,plain,
( ( ~ ( ~ ( ( ( host @ sK5_SY244 )
= ( host @ sK4_SY200 ) )
| ( setIn @ ( host @ sK5_SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) ) )
| ~ ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(303,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Down @ SX0 )
!= ( m_Down @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Down @ SX0 )
= ( m_Down @ SX1 ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(304,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( pidElem @ SX0 ) )
| ~ ( pidElem @ ( sK11_Y @ SX1 @ SX0 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SX1 @ SX0 ) ) )
!= ( host @ ( pidMsg @ SX0 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ ( sK11_Y @ SX1 @ SX0 ) ) ) )
| ~ ( ordered @ SX1 )
| ( ordered @ ( cons @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ( ordered @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(305,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( setIn @ SX0 @ pids ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( setIn @ SX1 @ pids ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(306,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Halt @ SX0 )
!= ( m_Halt @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Halt @ SX0 )
= ( m_Halt @ SX1 ) )
| ( SX0 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(307,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 )
| ( SX0 = SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(308,plain,
! [SV1: $i] :
( ( ! [SY259: $i] :
( ( ( s @ ( host @ SV1 ) )
!= ( host @ SY259 ) )
| ( ( host @ SV1 )
!= ( host @ SY259 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(309,plain,
! [SV2: $i] :
( ( leq @ ( s @ zero ) @ ( host @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(310,plain,
! [SV3: $i] :
( ( leq @ ( host @ SV3 ) @ nbr_proc )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(311,plain,
( ( elec_1 = elec_2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(312,plain,
( ( elec_1 = wait )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(313,plain,
( ( elec_1 = norm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(314,plain,
( ( elec_2 = wait )
= $false ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(315,plain,
( ( elec_2 = norm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(316,plain,
( ( norm = wait )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(317,plain,
! [SV4: $i] :
( ( ! [SY260: $i,SY261: $i] :
( ( m_Ack @ SV4 @ SY260 )
!= ( m_Halt @ SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(318,plain,
! [SV5: $i] :
( ( ! [SY262: $i,SY263: $i] :
( ( m_Ack @ SV5 @ SY262 )
!= ( m_Down @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(319,plain,
! [SV6: $i] :
( ( ! [SY264: $i,SY265: $i] :
( ( m_Ack @ SV6 @ SY264 )
!= ( m_NotNorm @ SY265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(320,plain,
! [SV7: $i] :
( ( ! [SY266: $i,SY267: $i] :
( ( m_Ack @ SV7 @ SY266 )
!= ( m_Ldr @ SY267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(321,plain,
! [SV8: $i] :
( ( ! [SY268: $i,SY269: $i] :
( ( m_Ack @ SV8 @ SY268 )
!= ( m_NormQ @ SY269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(322,plain,
! [SV9: $i] :
( ( ! [SY270: $i] :
( ( m_NotNorm @ SV9 )
!= ( m_Halt @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(323,plain,
! [SV10: $i] :
( ( ! [SY271: $i] :
( ( m_Down @ SV10 )
!= ( m_Halt @ SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(324,plain,
! [SV11: $i] :
( ( ! [SY272: $i] :
( ( m_Down @ SV11 )
!= ( m_Ldr @ SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(325,plain,
! [SV12: $i] :
( ( ! [SY273: $i] :
( ( m_Down @ SV12 )
!= ( m_NotNorm @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(326,plain,
! [SV13: $i] :
( ( ! [SY274: $i] :
( ( m_Down @ SV13 )
!= ( m_NormQ @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(327,plain,
! [SV14: $i] :
( ( ! [SY275: $i] :
( ( m_NormQ @ SV14 )
!= ( m_Halt @ SY275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(328,plain,
! [SV15: $i] :
( ( ! [SY276: $i] :
( ( m_Ldr @ SV15 )
!= ( m_Halt @ SY276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(329,plain,
! [SV16: $i] :
( ( ! [SY277: $i] :
( ( m_Ldr @ SV16 )
!= ( m_NormQ @ SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(330,plain,
! [SV17: $i] :
( ( ! [SY278: $i] :
( ( m_Ldr @ SV17 )
!= ( m_NotNorm @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(331,plain,
! [SV18: $i] :
( ( ! [SY279: $i] :
( ( m_NormQ @ SV18 )
!= ( m_NotNorm @ SY279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(332,plain,
! [SV19: $i] :
( ( ! [SY280: $i] :
( ( SV19 = SY280 )
| ! [SY281: $i,SY282: $i] :
( ( m_Ack @ SV19 @ SY281 )
!= ( m_Ack @ SY280 @ SY282 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(333,plain,
! [SV20: $i] :
( ( ! [SY283: $i,SY284: $i,SY285: $i] :
( ( SY284 = SY285 )
| ( ( m_Ack @ SV20 @ SY284 )
!= ( m_Ack @ SY283 @ SY285 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(334,plain,
! [SV21: $i] :
( ( ! [SY286: $i] :
( ( ( host @ SV21 )
= ( host @ SY286 ) )
| ( SV21 != SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(335,plain,
( ( setIn @ nil @ alive )
= $false ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(336,plain,
! [SV22: $i] :
( ( ! [SY287: $i] :
( ( head @ ( cons @ SV22 @ SY287 ) )
= SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(337,plain,
! [SV23: $i] :
( ( ! [SY288: $i] :
( ( tail @ ( cons @ SV23 @ SY288 ) )
= SY288 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(338,plain,
! [SV24: $i] :
( ( ! [SY289: $i] :
( ( last @ ( snoc @ SY289 @ SV24 ) )
= SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(339,plain,
! [SV25: $i] :
( ( ! [SY290: $i] :
( ( init @ ( snoc @ SY290 @ SV25 ) )
= SY290 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(340,plain,
! [SV26: $i] :
( ( ( SV26 = q_nil )
| ( SV26
= ( cons @ ( head @ SV26 ) @ ( tail @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(341,plain,
! [SV27: $i] :
( ( ( SV27 = q_nil )
| ( SV27
= ( snoc @ ( init @ SV27 ) @ ( last @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(342,plain,
! [SV28: $i] :
( ( ! [SY291: $i] :
( q_nil
!= ( cons @ SV28 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(343,plain,
! [SV29: $i] :
( ( ! [SY292: $i] :
( q_nil
!= ( snoc @ SY292 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(344,plain,
! [SV30: $i] :
( ( ( cons @ SV30 @ q_nil )
= ( snoc @ q_nil @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(345,plain,
! [SV31: $i] :
( ( ! [SY293: $i,SY294: $i] :
( ( snoc @ ( cons @ SV31 @ SY294 ) @ SY293 )
= ( cons @ SV31 @ ( snoc @ SY294 @ SY293 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(346,plain,
! [SV32: $i] :
( ( ~ ( elem @ SV32 @ q_nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(347,plain,
! [SV33: $i] :
( ( ( pidMsg @ ( m_Halt @ SV33 ) )
= SV33 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(348,plain,
! [SV34: $i] :
( ( ( pidMsg @ ( m_Down @ SV34 ) )
= SV34 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(349,plain,
! [SV35: $i] :
( ( ~ ( ordered @ SV35 )
| ! [SY295: $i,SY296: $i] : ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SY295 @ SY296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(350,plain,
! [SV36: $i] :
( ( ~ ( ordered @ SV36 )
| ! [SY297: $i] : ( ordered @ ( snoc @ SV36 @ ( m_Ldr @ SY297 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(351,plain,
! [SV37: $i] :
( ( ! [SY298: $i,SY299: $i] :
( ( ( host @ SY298 )
!= ( host @ SY299 ) )
| ~ ( ordered @ ( cons @ ( m_Halt @ SY298 ) @ SV37 ) )
| ~ ( elem @ ( m_Down @ SY299 ) @ SV37 )
| ( leq @ SY298 @ SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(352,plain,
! [SV38: $i] :
( ( ~ ( leq @ ( s @ SV38 ) @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(353,plain,
! [SV39: $i] :
( ( leq @ SV39 @ SV39 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(354,plain,
! [SV40: $i] :
( ( ! [SY300: $i] :
( ( leq @ SV40 @ SY300 )
| ( leq @ SY300 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(355,plain,
! [SV41: $i] :
( ( ! [SY301: $i,SY302: $i] :
( ~ ( leq @ SV41 @ SY301 )
| ~ ( leq @ SY301 @ SY302 )
| ( leq @ SV41 @ SY302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(356,plain,
! [SV42: $i] :
( ( ~ ( setIn @ SV42 @ setEmpty ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(357,plain,
! [SV43: $i] :
( ( ! [SY303: $i,SY304: $i,SY305: $i] :
( ( ( host @ SY304 )
= ( host @ SV43 ) )
| ~ ( setIn @ SV43 @ alive )
| ~ ( setIn @ SY304 @ alive )
| ( ( host @ SY303 )
!= ( host @ SV43 ) )
| ( ( host @ SY305 )
!= ( host @ SY304 ) )
| ~ ( elem @ ( m_Down @ SY305 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SY303 ) @ ( queue @ ( host @ SY304 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(358,plain,
! [SV44: $i] :
( ( ! [SY306: $i] :
( ( SY306 = SV44 )
| ( ( host @ SY306 )
!= ( host @ SV44 ) )
| ~ ( setIn @ SV44 @ alive )
| ~ ( setIn @ SY306 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(359,plain,
! [SV45: $i] :
( ( ! [SY307: $i] :
( ( setIn @ SV45 @ alive )
| ~ ( leq @ SY307 @ SV45 )
| ( ( host @ SY307 )
!= ( host @ SV45 ) )
| ~ ( setIn @ SY307 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(360,plain,
! [SV46: $i] :
( ( ! [SY308: $i,SY309: $i] :
( ~ ( elem @ ( m_Ack @ SY309 @ SV46 ) @ ( queue @ ( host @ SY308 ) ) )
| ~ ( leq @ ( host @ SV46 ) @ ( host @ SY309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(361,plain,
! [SV47: $i] :
( ( ! [SY310: $i] :
( ~ ( elem @ ( m_Halt @ SY310 ) @ ( queue @ ( host @ SV47 ) ) )
| ~ ( leq @ ( host @ SV47 ) @ ( host @ SY310 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(362,plain,
! [SV48: $i] :
( ( ! [SY311: $i] :
( ~ ( elem @ ( m_Down @ SY311 ) @ ( queue @ ( host @ SV48 ) ) )
| ( ( host @ SY311 )
!= ( host @ SV48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(363,plain,
! [SV49: $i] :
( ( ! [SY312: $i] :
( ~ ( elem @ ( m_Down @ SY312 ) @ ( queue @ ( host @ SV49 ) ) )
| ~ ( setIn @ SY312 @ alive ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(364,plain,
! [SV50: $i] :
( ( ! [SY313: $i] :
( ~ ( setIn @ SY313 @ alive )
| ~ ( elem @ ( m_Down @ SY313 ) @ ( queue @ ( host @ SV50 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(365,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_NormQ @ SX0 )
!= ( m_NormQ @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_NormQ @ SX0 )
= ( m_NormQ @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(366,plain,
( ( ~ ! [SX0: $i] : ( ordered @ ( cons @ SX0 @ q_nil ) )
| ~ ! [SX0: $i] : ( ordered @ ( snoc @ q_nil @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(367,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( pidElem @ SX0 ) )
| ~ ( pidElem @ ( sK10_Y @ SX1 @ SX0 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SX1 @ SX0 ) ) )
!= ( host @ ( pidMsg @ SX0 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SX1 @ SX0 ) ) @ ( pidMsg @ SX0 ) ) )
| ~ ( ordered @ SX1 )
| ( ordered @ ( snoc @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ( ordered @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(368,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(369,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ! [SX1: $i] :
( SX0
!= ( m_Halt @ SX1 ) )
| ~ ! [SX1: $i] :
( SX0
!= ( m_Down @ SX1 ) ) )
| ( pidElem @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( pidElem @ SX0 )
| ( SX0
= ( m_Halt @ ( sK13_Y @ SX0 ) ) )
| ( SX0
= ( m_Down @ ( sK12_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(370,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ ( s @ SX1 ) )
| ( SX0
= ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( s @ SX1 ) )
| ( leq @ SX0 @ ( s @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(371,plain,
! [SV51: $i] :
( ( ~ ( ~ ! [SY314: $i,SY315: $i] :
( ~ ( elem @ SV51 @ ( snoc @ SY315 @ SY314 ) )
| ( SV51 = SY314 )
| ( elem @ SV51 @ SY315 ) )
| ~ ~ ( ~ ! [SY316: $i] :
( ( SV51 != SY316 )
| ! [SY317: $i] : ( elem @ SV51 @ ( snoc @ SY317 @ SY316 ) ) )
| ~ ! [SY318: $i,SY319: $i] :
( ~ ( elem @ SV51 @ SY319 )
| ( elem @ SV51 @ ( snoc @ SY319 @ SY318 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(372,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_NotNorm @ SX0 )
!= ( m_NotNorm @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_NotNorm @ SX0 )
= ( m_NotNorm @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(373,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Ldr @ SX0 )
!= ( m_Ldr @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Ldr @ SX0 )
= ( m_Ldr @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(374,plain,
! [SV52: $i] :
( ( ~ ( ~ ! [SY320: $i,SY321: $i] :
( ~ ( elem @ SV52 @ ( cons @ SY320 @ SY321 ) )
| ( SV52 = SY320 )
| ( elem @ SV52 @ SY321 ) )
| ~ ~ ( ~ ! [SY322: $i] :
( ( SV52 != SY322 )
| ! [SY323: $i] : ( elem @ SV52 @ ( cons @ SY322 @ SY323 ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( elem @ SV52 @ SY325 )
| ( elem @ SV52 @ ( cons @ SY324 @ SY325 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(375,plain,
( ( ~ ( ( ( host @ sK5_SY244 )
= ( host @ sK4_SY200 ) )
| ( setIn @ ( host @ sK5_SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) ) )
| ~ ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(376,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Down @ SX0 )
!= ( m_Down @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Down @ SX0 )
= ( m_Down @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(377,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( pidElem @ SX0 ) )
| ~ ( pidElem @ ( sK11_Y @ SX1 @ SX0 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SX1 @ SX0 ) ) )
!= ( host @ ( pidMsg @ SX0 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ ( sK11_Y @ SX1 @ SX0 ) ) ) )
| ~ ( ordered @ SX1 )
| ( ordered @ ( cons @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ( ordered @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(378,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( setIn @ SX0 @ pids ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( setIn @ SX1 @ pids ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(379,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Halt @ SX0 )
!= ( m_Halt @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Halt @ SX0 )
= ( m_Halt @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(380,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 )
| ( SX0 = SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(381,plain,
! [SV53: $i,SV1: $i] :
( ( ( ( s @ ( host @ SV1 ) )
!= ( host @ SV53 ) )
| ( ( host @ SV1 )
!= ( host @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(382,plain,
! [SV54: $i,SV4: $i] :
( ( ! [SY326: $i] :
( ( m_Ack @ SV4 @ SV54 )
!= ( m_Halt @ SY326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(383,plain,
! [SV55: $i,SV5: $i] :
( ( ! [SY327: $i] :
( ( m_Ack @ SV5 @ SV55 )
!= ( m_Down @ SY327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(384,plain,
! [SV56: $i,SV6: $i] :
( ( ! [SY328: $i] :
( ( m_Ack @ SV6 @ SV56 )
!= ( m_NotNorm @ SY328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(385,plain,
! [SV57: $i,SV7: $i] :
( ( ! [SY329: $i] :
( ( m_Ack @ SV7 @ SV57 )
!= ( m_Ldr @ SY329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(386,plain,
! [SV58: $i,SV8: $i] :
( ( ! [SY330: $i] :
( ( m_Ack @ SV8 @ SV58 )
!= ( m_NormQ @ SY330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(387,plain,
! [SV59: $i,SV9: $i] :
( ( ( ( m_NotNorm @ SV9 )
!= ( m_Halt @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(388,plain,
! [SV60: $i,SV10: $i] :
( ( ( ( m_Down @ SV10 )
!= ( m_Halt @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(389,plain,
! [SV61: $i,SV11: $i] :
( ( ( ( m_Down @ SV11 )
!= ( m_Ldr @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(390,plain,
! [SV62: $i,SV12: $i] :
( ( ( ( m_Down @ SV12 )
!= ( m_NotNorm @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(391,plain,
! [SV63: $i,SV13: $i] :
( ( ( ( m_Down @ SV13 )
!= ( m_NormQ @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(392,plain,
! [SV64: $i,SV14: $i] :
( ( ( ( m_NormQ @ SV14 )
!= ( m_Halt @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(393,plain,
! [SV65: $i,SV15: $i] :
( ( ( ( m_Ldr @ SV15 )
!= ( m_Halt @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(394,plain,
! [SV66: $i,SV16: $i] :
( ( ( ( m_Ldr @ SV16 )
!= ( m_NormQ @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(395,plain,
! [SV67: $i,SV17: $i] :
( ( ( ( m_Ldr @ SV17 )
!= ( m_NotNorm @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(396,plain,
! [SV68: $i,SV18: $i] :
( ( ( ( m_NormQ @ SV18 )
!= ( m_NotNorm @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(397,plain,
! [SV69: $i,SV19: $i] :
( ( ( SV19 = SV69 )
| ! [SY331: $i,SY332: $i] :
( ( m_Ack @ SV19 @ SY331 )
!= ( m_Ack @ SV69 @ SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(398,plain,
! [SV70: $i,SV20: $i] :
( ( ! [SY333: $i,SY334: $i] :
( ( SY333 = SY334 )
| ( ( m_Ack @ SV20 @ SY333 )
!= ( m_Ack @ SV70 @ SY334 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(399,plain,
! [SV71: $i,SV21: $i] :
( ( ( ( host @ SV21 )
= ( host @ SV71 ) )
| ( SV21 != SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(400,plain,
! [SV72: $i,SV22: $i] :
( ( ( head @ ( cons @ SV22 @ SV72 ) )
= SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(401,plain,
! [SV73: $i,SV23: $i] :
( ( ( tail @ ( cons @ SV23 @ SV73 ) )
= SV73 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(402,plain,
! [SV24: $i,SV74: $i] :
( ( ( last @ ( snoc @ SV74 @ SV24 ) )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(403,plain,
! [SV25: $i,SV75: $i] :
( ( ( init @ ( snoc @ SV75 @ SV25 ) )
= SV75 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(404,plain,
! [SV26: $i] :
( ( ( SV26 = q_nil )
= $true )
| ( ( SV26
= ( cons @ ( head @ SV26 ) @ ( tail @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(405,plain,
! [SV27: $i] :
( ( ( SV27 = q_nil )
= $true )
| ( ( SV27
= ( snoc @ ( init @ SV27 ) @ ( last @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(406,plain,
! [SV76: $i,SV28: $i] :
( ( ( q_nil
!= ( cons @ SV28 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(407,plain,
! [SV29: $i,SV77: $i] :
( ( ( q_nil
!= ( snoc @ SV77 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(408,plain,
! [SV78: $i,SV31: $i] :
( ( ! [SY335: $i] :
( ( snoc @ ( cons @ SV31 @ SY335 ) @ SV78 )
= ( cons @ SV31 @ ( snoc @ SY335 @ SV78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(409,plain,
! [SV32: $i] :
( ( elem @ SV32 @ q_nil )
= $false ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(410,plain,
! [SV35: $i] :
( ( ( ~ ( ordered @ SV35 ) )
= $true )
| ( ( ! [SY295: $i,SY296: $i] : ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SY295 @ SY296 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(411,plain,
! [SV36: $i] :
( ( ( ~ ( ordered @ SV36 ) )
= $true )
| ( ( ! [SY297: $i] : ( ordered @ ( snoc @ SV36 @ ( m_Ldr @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(412,plain,
! [SV37: $i,SV79: $i] :
( ( ! [SY336: $i] :
( ( ( host @ SV79 )
!= ( host @ SY336 ) )
| ~ ( ordered @ ( cons @ ( m_Halt @ SV79 ) @ SV37 ) )
| ~ ( elem @ ( m_Down @ SY336 ) @ SV37 )
| ( leq @ SV79 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(413,plain,
! [SV38: $i] :
( ( leq @ ( s @ SV38 ) @ SV38 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(414,plain,
! [SV80: $i,SV40: $i] :
( ( ( leq @ SV40 @ SV80 )
| ( leq @ SV80 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(415,plain,
! [SV81: $i,SV41: $i] :
( ( ! [SY337: $i] :
( ~ ( leq @ SV41 @ SV81 )
| ~ ( leq @ SV81 @ SY337 )
| ( leq @ SV41 @ SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(416,plain,
! [SV42: $i] :
( ( setIn @ SV42 @ setEmpty )
= $false ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(417,plain,
! [SV82: $i,SV43: $i] :
( ( ! [SY338: $i,SY339: $i] :
( ( ( host @ SY338 )
= ( host @ SV43 ) )
| ~ ( setIn @ SV43 @ alive )
| ~ ( setIn @ SY338 @ alive )
| ( ( host @ SV82 )
!= ( host @ SV43 ) )
| ( ( host @ SY339 )
!= ( host @ SY338 ) )
| ~ ( elem @ ( m_Down @ SY339 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SY338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(418,plain,
! [SV44: $i,SV83: $i] :
( ( ( SV83 = SV44 )
| ( ( host @ SV83 )
!= ( host @ SV44 ) )
| ~ ( setIn @ SV44 @ alive )
| ~ ( setIn @ SV83 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(419,plain,
! [SV84: $i,SV45: $i] :
( ( ( setIn @ SV45 @ alive )
| ~ ( leq @ SV84 @ SV45 )
| ( ( host @ SV84 )
!= ( host @ SV45 ) )
| ~ ( setIn @ SV84 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(420,plain,
! [SV85: $i,SV46: $i] :
( ( ! [SY340: $i] :
( ~ ( elem @ ( m_Ack @ SY340 @ SV46 ) @ ( queue @ ( host @ SV85 ) ) )
| ~ ( leq @ ( host @ SV46 ) @ ( host @ SY340 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(421,plain,
! [SV47: $i,SV86: $i] :
( ( ~ ( elem @ ( m_Halt @ SV86 ) @ ( queue @ ( host @ SV47 ) ) )
| ~ ( leq @ ( host @ SV47 ) @ ( host @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(422,plain,
! [SV48: $i,SV87: $i] :
( ( ~ ( elem @ ( m_Down @ SV87 ) @ ( queue @ ( host @ SV48 ) ) )
| ( ( host @ SV87 )
!= ( host @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(423,plain,
! [SV49: $i,SV88: $i] :
( ( ~ ( elem @ ( m_Down @ SV88 ) @ ( queue @ ( host @ SV49 ) ) )
| ~ ( setIn @ SV88 @ alive ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(424,plain,
! [SV50: $i,SV89: $i] :
( ( ~ ( setIn @ SV89 @ alive )
| ~ ( elem @ ( m_Down @ SV89 ) @ ( queue @ ( host @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(425,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_NormQ @ SX0 )
!= ( m_NormQ @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(426,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( m_NormQ @ SX0 )
= ( m_NormQ @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(427,plain,
( ( ~ ! [SX0: $i] : ( ordered @ ( cons @ SX0 @ q_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(428,plain,
( ( ~ ! [SX0: $i] : ( ordered @ ( snoc @ q_nil @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(429,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( pidElem @ SX0 ) )
| ~ ( pidElem @ ( sK10_Y @ SX1 @ SX0 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SX1 @ SX0 ) ) )
!= ( host @ ( pidMsg @ SX0 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SX1 @ SX0 ) ) @ ( pidMsg @ SX0 ) ) )
| ~ ( ordered @ SX1 )
| ( ordered @ ( snoc @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(430,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ( ordered @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(431,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(432,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(433,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ! [SX1: $i] :
( SX0
!= ( m_Halt @ SX1 ) )
| ~ ! [SX1: $i] :
( SX0
!= ( m_Down @ SX1 ) ) )
| ( pidElem @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(434,plain,
( ( ~ ! [SX0: $i] :
( ~ ( pidElem @ SX0 )
| ( SX0
= ( m_Halt @ ( sK13_Y @ SX0 ) ) )
| ( SX0
= ( m_Down @ ( sK12_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(435,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ ( s @ SX1 ) )
| ( SX0
= ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(436,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( s @ SX1 ) )
| ( leq @ SX0 @ ( s @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(437,plain,
! [SV51: $i] :
( ( ~ ! [SY314: $i,SY315: $i] :
( ~ ( elem @ SV51 @ ( snoc @ SY315 @ SY314 ) )
| ( SV51 = SY314 )
| ( elem @ SV51 @ SY315 ) )
| ~ ~ ( ~ ! [SY316: $i] :
( ( SV51 != SY316 )
| ! [SY317: $i] : ( elem @ SV51 @ ( snoc @ SY317 @ SY316 ) ) )
| ~ ! [SY318: $i,SY319: $i] :
( ~ ( elem @ SV51 @ SY319 )
| ( elem @ SV51 @ ( snoc @ SY319 @ SY318 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(438,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_NotNorm @ SX0 )
!= ( m_NotNorm @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(439,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( m_NotNorm @ SX0 )
= ( m_NotNorm @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(440,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Ldr @ SX0 )
!= ( m_Ldr @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(441,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Ldr @ SX0 )
= ( m_Ldr @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(442,plain,
! [SV52: $i] :
( ( ~ ! [SY320: $i,SY321: $i] :
( ~ ( elem @ SV52 @ ( cons @ SY320 @ SY321 ) )
| ( SV52 = SY320 )
| ( elem @ SV52 @ SY321 ) )
| ~ ~ ( ~ ! [SY322: $i] :
( ( SV52 != SY322 )
| ! [SY323: $i] : ( elem @ SV52 @ ( cons @ SY322 @ SY323 ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( elem @ SV52 @ SY325 )
| ( elem @ SV52 @ ( cons @ SY324 @ SY325 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(443,plain,
( ( ~ ( ( ( host @ sK5_SY244 )
= ( host @ sK4_SY200 ) )
| ( setIn @ ( host @ sK5_SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(444,plain,
( ( ~ ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(445,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Down @ SX0 )
!= ( m_Down @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(446,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Down @ SX0 )
= ( m_Down @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(447,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( pidElem @ SX0 ) )
| ~ ( pidElem @ ( sK11_Y @ SX1 @ SX0 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SX1 @ SX0 ) ) )
!= ( host @ ( pidMsg @ SX0 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ ( sK11_Y @ SX1 @ SX0 ) ) ) )
| ~ ( ordered @ SX1 )
| ( ordered @ ( cons @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(448,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ( ordered @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(449,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( setIn @ SX0 @ pids ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(450,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( setIn @ SX1 @ pids ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(451,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Halt @ SX0 )
!= ( m_Halt @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(452,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( m_Halt @ SX0 )
= ( m_Halt @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(453,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(454,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(455,plain,
! [SV53: $i,SV1: $i] :
( ( ( ( ( s @ ( host @ SV1 ) )
!= ( host @ SV53 ) ) )
= $true )
| ( ( ( ( host @ SV1 )
!= ( host @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(456,plain,
! [SV90: $i,SV54: $i,SV4: $i] :
( ( ( ( m_Ack @ SV4 @ SV54 )
!= ( m_Halt @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(457,plain,
! [SV91: $i,SV55: $i,SV5: $i] :
( ( ( ( m_Ack @ SV5 @ SV55 )
!= ( m_Down @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(458,plain,
! [SV92: $i,SV56: $i,SV6: $i] :
( ( ( ( m_Ack @ SV6 @ SV56 )
!= ( m_NotNorm @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(459,plain,
! [SV93: $i,SV57: $i,SV7: $i] :
( ( ( ( m_Ack @ SV7 @ SV57 )
!= ( m_Ldr @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(460,plain,
! [SV94: $i,SV58: $i,SV8: $i] :
( ( ( ( m_Ack @ SV8 @ SV58 )
!= ( m_NormQ @ SV94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(461,plain,
! [SV59: $i,SV9: $i] :
( ( ( m_NotNorm @ SV9 )
= ( m_Halt @ SV59 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(462,plain,
! [SV60: $i,SV10: $i] :
( ( ( m_Down @ SV10 )
= ( m_Halt @ SV60 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(463,plain,
! [SV61: $i,SV11: $i] :
( ( ( m_Down @ SV11 )
= ( m_Ldr @ SV61 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(464,plain,
! [SV62: $i,SV12: $i] :
( ( ( m_Down @ SV12 )
= ( m_NotNorm @ SV62 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(465,plain,
! [SV63: $i,SV13: $i] :
( ( ( m_Down @ SV13 )
= ( m_NormQ @ SV63 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(466,plain,
! [SV64: $i,SV14: $i] :
( ( ( m_NormQ @ SV14 )
= ( m_Halt @ SV64 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(467,plain,
! [SV65: $i,SV15: $i] :
( ( ( m_Ldr @ SV15 )
= ( m_Halt @ SV65 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(468,plain,
! [SV66: $i,SV16: $i] :
( ( ( m_Ldr @ SV16 )
= ( m_NormQ @ SV66 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(469,plain,
! [SV67: $i,SV17: $i] :
( ( ( m_Ldr @ SV17 )
= ( m_NotNorm @ SV67 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(470,plain,
! [SV68: $i,SV18: $i] :
( ( ( m_NormQ @ SV18 )
= ( m_NotNorm @ SV68 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(471,plain,
! [SV69: $i,SV19: $i] :
( ( ( SV19 = SV69 )
= $true )
| ( ( ! [SY331: $i,SY332: $i] :
( ( m_Ack @ SV19 @ SY331 )
!= ( m_Ack @ SV69 @ SY332 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(472,plain,
! [SV70: $i,SV20: $i,SV95: $i] :
( ( ! [SY341: $i] :
( ( SV95 = SY341 )
| ( ( m_Ack @ SV20 @ SV95 )
!= ( m_Ack @ SV70 @ SY341 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(473,plain,
! [SV71: $i,SV21: $i] :
( ( ( ( host @ SV21 )
= ( host @ SV71 ) )
= $true )
| ( ( ( SV21 != SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(474,plain,
! [SV76: $i,SV28: $i] :
( ( q_nil
= ( cons @ SV28 @ SV76 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(475,plain,
! [SV29: $i,SV77: $i] :
( ( q_nil
= ( snoc @ SV77 @ SV29 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(476,plain,
! [SV78: $i,SV96: $i,SV31: $i] :
( ( ( snoc @ ( cons @ SV31 @ SV96 ) @ SV78 )
= ( cons @ SV31 @ ( snoc @ SV96 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(477,plain,
! [SV35: $i] :
( ( ( ordered @ SV35 )
= $false )
| ( ( ! [SY295: $i,SY296: $i] : ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SY295 @ SY296 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(478,plain,
! [SV36: $i] :
( ( ( ordered @ SV36 )
= $false )
| ( ( ! [SY297: $i] : ( ordered @ ( snoc @ SV36 @ ( m_Ldr @ SY297 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(479,plain,
! [SV37: $i,SV97: $i,SV79: $i] :
( ( ( ( host @ SV79 )
!= ( host @ SV97 ) )
| ~ ( ordered @ ( cons @ ( m_Halt @ SV79 ) @ SV37 ) )
| ~ ( elem @ ( m_Down @ SV97 ) @ SV37 )
| ( leq @ SV79 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(480,plain,
! [SV80: $i,SV40: $i] :
( ( ( leq @ SV40 @ SV80 )
= $true )
| ( ( leq @ SV80 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(481,plain,
! [SV98: $i,SV81: $i,SV41: $i] :
( ( ~ ( leq @ SV41 @ SV81 )
| ~ ( leq @ SV81 @ SV98 )
| ( leq @ SV41 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(482,plain,
! [SV82: $i,SV43: $i,SV99: $i] :
( ( ! [SY342: $i] :
( ( ( host @ SV99 )
= ( host @ SV43 ) )
| ~ ( setIn @ SV43 @ alive )
| ~ ( setIn @ SV99 @ alive )
| ( ( host @ SV82 )
!= ( host @ SV43 ) )
| ( ( host @ SY342 )
!= ( host @ SV99 ) )
| ~ ( elem @ ( m_Down @ SY342 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(483,plain,
! [SV44: $i,SV83: $i] :
( ( ( ( SV83 = SV44 )
| ( ( host @ SV83 )
!= ( host @ SV44 ) ) )
= $true )
| ( ( ~ ( setIn @ SV44 @ alive )
| ~ ( setIn @ SV83 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(484,plain,
! [SV84: $i,SV45: $i] :
( ( ( ( setIn @ SV45 @ alive )
| ~ ( leq @ SV84 @ SV45 )
| ( ( host @ SV84 )
!= ( host @ SV45 ) ) )
= $true )
| ( ( ~ ( setIn @ SV84 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(485,plain,
! [SV85: $i,SV46: $i,SV100: $i] :
( ( ~ ( elem @ ( m_Ack @ SV100 @ SV46 ) @ ( queue @ ( host @ SV85 ) ) )
| ~ ( leq @ ( host @ SV46 ) @ ( host @ SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(486,plain,
! [SV47: $i,SV86: $i] :
( ( ( ~ ( elem @ ( m_Halt @ SV86 ) @ ( queue @ ( host @ SV47 ) ) ) )
= $true )
| ( ( ~ ( leq @ ( host @ SV47 ) @ ( host @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(487,plain,
! [SV48: $i,SV87: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV87 ) @ ( queue @ ( host @ SV48 ) ) ) )
= $true )
| ( ( ( ( host @ SV87 )
!= ( host @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(488,plain,
! [SV49: $i,SV88: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV88 ) @ ( queue @ ( host @ SV49 ) ) ) )
= $true )
| ( ( ~ ( setIn @ SV88 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(489,plain,
! [SV50: $i,SV89: $i] :
( ( ( ~ ( setIn @ SV89 @ alive ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV89 ) @ ( queue @ ( host @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(490,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_NormQ @ SX0 )
!= ( m_NormQ @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(491,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( m_NormQ @ SX0 )
= ( m_NormQ @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(492,plain,
( ( ! [SX0: $i] : ( ordered @ ( cons @ SX0 @ q_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(493,plain,
( ( ! [SX0: $i] : ( ordered @ ( snoc @ q_nil @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(494,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( pidElem @ SX0 ) )
| ~ ( pidElem @ ( sK10_Y @ SX1 @ SX0 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SX1 @ SX0 ) ) )
!= ( host @ ( pidMsg @ SX0 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SX1 @ SX0 ) ) @ ( pidMsg @ SX0 ) ) )
| ~ ( ordered @ SX1 )
| ( ordered @ ( snoc @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(495,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ( ordered @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(496,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(497,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(498,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ! [SX1: $i] :
( SX0
!= ( m_Halt @ SX1 ) )
| ~ ! [SX1: $i] :
( SX0
!= ( m_Down @ SX1 ) ) )
| ( pidElem @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(499,plain,
( ( ! [SX0: $i] :
( ~ ( pidElem @ SX0 )
| ( SX0
= ( m_Halt @ ( sK13_Y @ SX0 ) ) )
| ( SX0
= ( m_Down @ ( sK12_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(500,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ ( s @ SX1 ) )
| ( SX0
= ( s @ SX1 ) )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(501,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( s @ SX1 ) )
| ( leq @ SX0 @ ( s @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(502,plain,
! [SV51: $i] :
( ( ~ ! [SY314: $i,SY315: $i] :
( ~ ( elem @ SV51 @ ( snoc @ SY315 @ SY314 ) )
| ( SV51 = SY314 )
| ( elem @ SV51 @ SY315 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(503,plain,
! [SV51: $i] :
( ( ~ ~ ( ~ ! [SY316: $i] :
( ( SV51 != SY316 )
| ! [SY317: $i] : ( elem @ SV51 @ ( snoc @ SY317 @ SY316 ) ) )
| ~ ! [SY318: $i,SY319: $i] :
( ~ ( elem @ SV51 @ SY319 )
| ( elem @ SV51 @ ( snoc @ SY319 @ SY318 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(504,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_NotNorm @ SX0 )
!= ( m_NotNorm @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(505,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( m_NotNorm @ SX0 )
= ( m_NotNorm @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(506,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Ldr @ SX0 )
!= ( m_Ldr @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(507,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( m_Ldr @ SX0 )
= ( m_Ldr @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(508,plain,
! [SV52: $i] :
( ( ~ ! [SY320: $i,SY321: $i] :
( ~ ( elem @ SV52 @ ( cons @ SY320 @ SY321 ) )
| ( SV52 = SY320 )
| ( elem @ SV52 @ SY321 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(509,plain,
! [SV52: $i] :
( ( ~ ~ ( ~ ! [SY322: $i] :
( ( SV52 != SY322 )
| ! [SY323: $i] : ( elem @ SV52 @ ( cons @ SY322 @ SY323 ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( elem @ SV52 @ SY325 )
| ( elem @ SV52 @ ( cons @ SY324 @ SY325 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(510,plain,
( ( ( ( host @ sK5_SY244 )
= ( host @ sK4_SY200 ) )
| ( setIn @ ( host @ sK5_SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(511,plain,
( ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(512,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Down @ SX0 )
!= ( m_Down @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(513,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( m_Down @ SX0 )
= ( m_Down @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(514,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( pidElem @ SX0 ) )
| ~ ( pidElem @ ( sK11_Y @ SX1 @ SX0 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SX1 @ SX0 ) ) )
!= ( host @ ( pidMsg @ SX0 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ ( sK11_Y @ SX1 @ SX0 ) ) ) )
| ~ ( ordered @ SX1 )
| ( ordered @ ( cons @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(515,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ( ordered @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(516,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( setIn @ SX0 @ pids ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(517,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
| ( setIn @ SX1 @ pids ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(518,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ( ( m_Halt @ SX0 )
!= ( m_Halt @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(519,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( m_Halt @ SX0 )
= ( m_Halt @ SX1 ) )
| ( SX0 != SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(520,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ~ ( leq @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(521,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(522,plain,
! [SV53: $i,SV1: $i] :
( ( ( ( s @ ( host @ SV1 ) )
= ( host @ SV53 ) )
= $false )
| ( ( ( ( host @ SV1 )
!= ( host @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(523,plain,
! [SV90: $i,SV54: $i,SV4: $i] :
( ( ( m_Ack @ SV4 @ SV54 )
= ( m_Halt @ SV90 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(524,plain,
! [SV91: $i,SV55: $i,SV5: $i] :
( ( ( m_Ack @ SV5 @ SV55 )
= ( m_Down @ SV91 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(525,plain,
! [SV92: $i,SV56: $i,SV6: $i] :
( ( ( m_Ack @ SV6 @ SV56 )
= ( m_NotNorm @ SV92 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(526,plain,
! [SV93: $i,SV57: $i,SV7: $i] :
( ( ( m_Ack @ SV7 @ SV57 )
= ( m_Ldr @ SV93 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(527,plain,
! [SV94: $i,SV58: $i,SV8: $i] :
( ( ( m_Ack @ SV8 @ SV58 )
= ( m_NormQ @ SV94 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(528,plain,
! [SV69: $i,SV101: $i,SV19: $i] :
( ( ( ! [SY343: $i] :
( ( m_Ack @ SV19 @ SV101 )
!= ( m_Ack @ SV69 @ SY343 ) ) )
= $true )
| ( ( SV19 = SV69 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(529,plain,
! [SV70: $i,SV20: $i,SV102: $i,SV95: $i] :
( ( ( SV95 = SV102 )
| ( ( m_Ack @ SV20 @ SV95 )
!= ( m_Ack @ SV70 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(530,plain,
! [SV71: $i,SV21: $i] :
( ( ( SV21 = SV71 )
= $false )
| ( ( ( host @ SV21 )
= ( host @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(531,plain,
! [SV103: $i,SV35: $i] :
( ( ( ! [SY344: $i] : ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SV103 @ SY344 ) ) ) )
= $true )
| ( ( ordered @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(532,plain,
! [SV104: $i,SV36: $i] :
( ( ( ordered @ ( snoc @ SV36 @ ( m_Ldr @ SV104 ) ) )
= $true )
| ( ( ordered @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(533,plain,
! [SV37: $i,SV97: $i,SV79: $i] :
( ( ( ( ( host @ SV79 )
!= ( host @ SV97 ) )
| ~ ( ordered @ ( cons @ ( m_Halt @ SV79 ) @ SV37 ) )
| ~ ( elem @ ( m_Down @ SV97 ) @ SV37 ) )
= $true )
| ( ( leq @ SV79 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(534,plain,
! [SV98: $i,SV81: $i,SV41: $i] :
( ( ( ~ ( leq @ SV41 @ SV81 )
| ~ ( leq @ SV81 @ SV98 ) )
= $true )
| ( ( leq @ SV41 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(535,plain,
! [SV105: $i,SV82: $i,SV43: $i,SV99: $i] :
( ( ( ( host @ SV99 )
= ( host @ SV43 ) )
| ~ ( setIn @ SV43 @ alive )
| ~ ( setIn @ SV99 @ alive )
| ( ( host @ SV82 )
!= ( host @ SV43 ) )
| ( ( host @ SV105 )
!= ( host @ SV99 ) )
| ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(536,plain,
! [SV44: $i,SV83: $i] :
( ( ( SV83 = SV44 )
= $true )
| ( ( ( ( host @ SV83 )
!= ( host @ SV44 ) ) )
= $true )
| ( ( ~ ( setIn @ SV44 @ alive )
| ~ ( setIn @ SV83 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(537,plain,
! [SV84: $i,SV45: $i] :
( ( ( ( setIn @ SV45 @ alive )
| ~ ( leq @ SV84 @ SV45 ) )
= $true )
| ( ( ( ( host @ SV84 )
!= ( host @ SV45 ) ) )
= $true )
| ( ( ~ ( setIn @ SV84 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(538,plain,
! [SV85: $i,SV46: $i,SV100: $i] :
( ( ( ~ ( elem @ ( m_Ack @ SV100 @ SV46 ) @ ( queue @ ( host @ SV85 ) ) ) )
= $true )
| ( ( ~ ( leq @ ( host @ SV46 ) @ ( host @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(539,plain,
! [SV47: $i,SV86: $i] :
( ( ( elem @ ( m_Halt @ SV86 ) @ ( queue @ ( host @ SV47 ) ) )
= $false )
| ( ( ~ ( leq @ ( host @ SV47 ) @ ( host @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(540,plain,
! [SV48: $i,SV87: $i] :
( ( ( elem @ ( m_Down @ SV87 ) @ ( queue @ ( host @ SV48 ) ) )
= $false )
| ( ( ( ( host @ SV87 )
!= ( host @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(541,plain,
! [SV49: $i,SV88: $i] :
( ( ( elem @ ( m_Down @ SV88 ) @ ( queue @ ( host @ SV49 ) ) )
= $false )
| ( ( ~ ( setIn @ SV88 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(542,plain,
! [SV50: $i,SV89: $i] :
( ( ( setIn @ SV89 @ alive )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV89 ) @ ( queue @ ( host @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(543,plain,
! [SV106: $i] :
( ( ! [SY345: $i] :
( ( SV106 = SY345 )
| ( ( m_NormQ @ SV106 )
!= ( m_NormQ @ SY345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(544,plain,
! [SV107: $i] :
( ( ! [SY346: $i] :
( ( ( m_NormQ @ SV107 )
= ( m_NormQ @ SY346 ) )
| ( SV107 != SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(545,plain,
! [SV108: $i] :
( ( ordered @ ( cons @ SV108 @ q_nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(546,plain,
! [SV109: $i] :
( ( ordered @ ( snoc @ q_nil @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(547,plain,
! [SV110: $i] :
( ( ! [SY347: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SY347 @ SV110 ) @ SY347 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SY347 @ SV110 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SY347 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SY347 @ SV110 ) ) @ ( pidMsg @ SV110 ) ) )
| ~ ( ordered @ SY347 )
| ( ordered @ ( snoc @ SY347 @ SV110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(548,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ( ordered @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(549,plain,
! [SV111: $i] :
( ( ! [SY348: $i] :
( ~ ( leq @ SV111 @ SY348 )
| ( leq @ ( s @ SV111 ) @ ( s @ SY348 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(550,plain,
! [SV112: $i] :
( ( ! [SY349: $i] :
( ~ ( leq @ ( s @ SV112 ) @ ( s @ SY349 ) )
| ( leq @ SV112 @ SY349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(551,plain,
! [SV113: $i] :
( ( ~ ( ~ ! [SY350: $i] :
( SV113
!= ( m_Halt @ SY350 ) )
| ~ ! [SY351: $i] :
( SV113
!= ( m_Down @ SY351 ) ) )
| ( pidElem @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(552,plain,
! [SV114: $i] :
( ( ~ ( pidElem @ SV114 )
| ( SV114
= ( m_Halt @ ( sK13_Y @ SV114 ) ) )
| ( SV114
= ( m_Down @ ( sK12_Y @ SV114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(553,plain,
! [SV115: $i] :
( ( ! [SY352: $i] :
( ~ ( leq @ SV115 @ ( s @ SY352 ) )
| ( SV115
= ( s @ SY352 ) )
| ( leq @ SV115 @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(554,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( s @ SX1 ) )
| ( leq @ SX0 @ ( s @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(555,plain,
! [SV51: $i] :
( ( ! [SY314: $i,SY315: $i] :
( ~ ( elem @ SV51 @ ( snoc @ SY315 @ SY314 ) )
| ( SV51 = SY314 )
| ( elem @ SV51 @ SY315 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(556,plain,
! [SV51: $i] :
( ( ~ ( ~ ! [SY316: $i] :
( ( SV51 != SY316 )
| ! [SY317: $i] : ( elem @ SV51 @ ( snoc @ SY317 @ SY316 ) ) )
| ~ ! [SY318: $i,SY319: $i] :
( ~ ( elem @ SV51 @ SY319 )
| ( elem @ SV51 @ ( snoc @ SY319 @ SY318 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(557,plain,
! [SV116: $i] :
( ( ! [SY353: $i] :
( ( SV116 = SY353 )
| ( ( m_NotNorm @ SV116 )
!= ( m_NotNorm @ SY353 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(558,plain,
! [SV117: $i] :
( ( ! [SY354: $i] :
( ( ( m_NotNorm @ SV117 )
= ( m_NotNorm @ SY354 ) )
| ( SV117 != SY354 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(559,plain,
! [SV118: $i] :
( ( ! [SY355: $i] :
( ( SV118 = SY355 )
| ( ( m_Ldr @ SV118 )
!= ( m_Ldr @ SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(560,plain,
! [SV119: $i] :
( ( ! [SY356: $i] :
( ( ( m_Ldr @ SV119 )
= ( m_Ldr @ SY356 ) )
| ( SV119 != SY356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(561,plain,
! [SV52: $i] :
( ( ! [SY320: $i,SY321: $i] :
( ~ ( elem @ SV52 @ ( cons @ SY320 @ SY321 ) )
| ( SV52 = SY320 )
| ( elem @ SV52 @ SY321 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(562,plain,
! [SV52: $i] :
( ( ~ ( ~ ! [SY322: $i] :
( ( SV52 != SY322 )
| ! [SY323: $i] : ( elem @ SV52 @ ( cons @ SY322 @ SY323 ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( elem @ SV52 @ SY325 )
| ( elem @ SV52 @ ( cons @ SY324 @ SY325 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(563,plain,
( ( ( ( host @ sK5_SY244 )
= ( host @ sK4_SY200 ) )
= $true )
| ( ( setIn @ ( host @ sK5_SY244 ) @ ( index @ acks @ ( host @ sK3_SY174 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(564,plain,
( ( ( ( host @ sK5_SY244 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(565,plain,
! [SV120: $i] :
( ( ! [SY357: $i] :
( ( SV120 = SY357 )
| ( ( m_Down @ SV120 )
!= ( m_Down @ SY357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(566,plain,
! [SV121: $i] :
( ( ! [SY358: $i] :
( ( ( m_Down @ SV121 )
= ( m_Down @ SY358 ) )
| ( SV121 != SY358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(567,plain,
! [SV122: $i] :
( ( ! [SY359: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SY359 @ SV122 ) @ SY359 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SY359 @ SV122 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SY359 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SY359 @ SV122 ) ) ) )
| ~ ( ordered @ SY359 )
| ( ordered @ ( cons @ SV122 @ SY359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(568,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ( ordered @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(569,plain,
! [SV123: $i] :
( ( ! [SY360: $i] :
~ ( elem @ ( m_Ack @ SV123 @ SY360 ) @ ( queue @ ( host @ SV123 ) ) )
| ( setIn @ SV123 @ pids ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(570,plain,
! [SV124: $i] :
( ( ! [SY361: $i] :
( ~ ( elem @ ( m_Ack @ SV124 @ SY361 ) @ ( queue @ ( host @ SV124 ) ) )
| ( setIn @ SY361 @ pids ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(571,plain,
! [SV125: $i] :
( ( ! [SY362: $i] :
( ( SV125 = SY362 )
| ( ( m_Halt @ SV125 )
!= ( m_Halt @ SY362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(572,plain,
! [SV126: $i] :
( ( ! [SY363: $i] :
( ( ( m_Halt @ SV126 )
= ( m_Halt @ SY363 ) )
| ( SV126 != SY363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(573,plain,
! [SV127: $i] :
( ( ! [SY364: $i] :
( ~ ( leq @ SV127 @ SY364 )
| ~ ( leq @ SY364 @ SV127 )
| ( SV127 = SY364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(574,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(575,plain,
! [SV53: $i,SV1: $i] :
( ( ( ( host @ SV1 )
= ( host @ SV53 ) )
= $false )
| ( ( ( s @ ( host @ SV1 ) )
= ( host @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(576,plain,
! [SV128: $i,SV69: $i,SV101: $i,SV19: $i] :
( ( ( ( ( m_Ack @ SV19 @ SV101 )
!= ( m_Ack @ SV69 @ SV128 ) ) )
= $true )
| ( ( SV19 = SV69 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(577,plain,
! [SV70: $i,SV20: $i,SV102: $i,SV95: $i] :
( ( ( SV95 = SV102 )
= $true )
| ( ( ( ( m_Ack @ SV20 @ SV95 )
!= ( m_Ack @ SV70 @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(578,plain,
! [SV129: $i,SV103: $i,SV35: $i] :
( ( ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SV103 @ SV129 ) ) )
= $true )
| ( ( ordered @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(579,plain,
! [SV37: $i,SV97: $i,SV79: $i] :
( ( ( ( ( host @ SV79 )
!= ( host @ SV97 ) )
| ~ ( ordered @ ( cons @ ( m_Halt @ SV79 ) @ SV37 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV97 ) @ SV37 ) )
= $true )
| ( ( leq @ SV79 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(580,plain,
! [SV98: $i,SV81: $i,SV41: $i] :
( ( ( ~ ( leq @ SV41 @ SV81 ) )
= $true )
| ( ( ~ ( leq @ SV81 @ SV98 ) )
= $true )
| ( ( leq @ SV41 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(581,plain,
! [SV105: $i,SV82: $i,SV43: $i,SV99: $i] :
( ( ( ( ( host @ SV99 )
= ( host @ SV43 ) )
| ~ ( setIn @ SV43 @ alive )
| ~ ( setIn @ SV99 @ alive )
| ( ( host @ SV82 )
!= ( host @ SV43 ) )
| ( ( host @ SV105 )
!= ( host @ SV99 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(582,plain,
! [SV44: $i,SV83: $i] :
( ( ( ( host @ SV83 )
= ( host @ SV44 ) )
= $false )
| ( ( SV83 = SV44 )
= $true )
| ( ( ~ ( setIn @ SV44 @ alive )
| ~ ( setIn @ SV83 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(583,plain,
! [SV84: $i,SV45: $i] :
( ( ( setIn @ SV45 @ alive )
= $true )
| ( ( ~ ( leq @ SV84 @ SV45 ) )
= $true )
| ( ( ( ( host @ SV84 )
!= ( host @ SV45 ) ) )
= $true )
| ( ( ~ ( setIn @ SV84 @ alive ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(584,plain,
! [SV85: $i,SV46: $i,SV100: $i] :
( ( ( elem @ ( m_Ack @ SV100 @ SV46 ) @ ( queue @ ( host @ SV85 ) ) )
= $false )
| ( ( ~ ( leq @ ( host @ SV46 ) @ ( host @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(585,plain,
! [SV86: $i,SV47: $i] :
( ( ( leq @ ( host @ SV47 ) @ ( host @ SV86 ) )
= $false )
| ( ( elem @ ( m_Halt @ SV86 ) @ ( queue @ ( host @ SV47 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(586,plain,
! [SV48: $i,SV87: $i] :
( ( ( ( host @ SV87 )
= ( host @ SV48 ) )
= $false )
| ( ( elem @ ( m_Down @ SV87 ) @ ( queue @ ( host @ SV48 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(587,plain,
! [SV49: $i,SV88: $i] :
( ( ( setIn @ SV88 @ alive )
= $false )
| ( ( elem @ ( m_Down @ SV88 ) @ ( queue @ ( host @ SV49 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(588,plain,
! [SV50: $i,SV89: $i] :
( ( ( elem @ ( m_Down @ SV89 ) @ ( queue @ ( host @ SV50 ) ) )
= $false )
| ( ( setIn @ SV89 @ alive )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(589,plain,
! [SV130: $i,SV106: $i] :
( ( ( SV106 = SV130 )
| ( ( m_NormQ @ SV106 )
!= ( m_NormQ @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(590,plain,
! [SV131: $i,SV107: $i] :
( ( ( ( m_NormQ @ SV107 )
= ( m_NormQ @ SV131 ) )
| ( SV107 != SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(591,plain,
! [SV110: $i,SV132: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) @ ( pidMsg @ SV110 ) ) )
| ~ ( ordered @ SV132 )
| ( ordered @ ( snoc @ SV132 @ SV110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(592,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(593,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ( ordered @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(594,plain,
! [SV133: $i,SV111: $i] :
( ( ~ ( leq @ SV111 @ SV133 )
| ( leq @ ( s @ SV111 ) @ ( s @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(595,plain,
! [SV134: $i,SV112: $i] :
( ( ~ ( leq @ ( s @ SV112 ) @ ( s @ SV134 ) )
| ( leq @ SV112 @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(596,plain,
! [SV113: $i] :
( ( ( ~ ( ~ ! [SY350: $i] :
( SV113
!= ( m_Halt @ SY350 ) )
| ~ ! [SY351: $i] :
( SV113
!= ( m_Down @ SY351 ) ) ) )
= $true )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(597,plain,
! [SV114: $i] :
( ( ( ~ ( pidElem @ SV114 ) )
= $true )
| ( ( ( SV114
= ( m_Halt @ ( sK13_Y @ SV114 ) ) )
| ( SV114
= ( m_Down @ ( sK12_Y @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(598,plain,
! [SV135: $i,SV115: $i] :
( ( ~ ( leq @ SV115 @ ( s @ SV135 ) )
| ( SV115
= ( s @ SV135 ) )
| ( leq @ SV115 @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(599,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( s @ SX1 ) )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(600,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(601,plain,
! [SV136: $i,SV51: $i] :
( ( ! [SY365: $i] :
( ~ ( elem @ SV51 @ ( snoc @ SY365 @ SV136 ) )
| ( SV51 = SV136 )
| ( elem @ SV51 @ SY365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(602,plain,
! [SV51: $i] :
( ( ~ ! [SY316: $i] :
( ( SV51 != SY316 )
| ! [SY317: $i] : ( elem @ SV51 @ ( snoc @ SY317 @ SY316 ) ) )
| ~ ! [SY318: $i,SY319: $i] :
( ~ ( elem @ SV51 @ SY319 )
| ( elem @ SV51 @ ( snoc @ SY319 @ SY318 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(603,plain,
! [SV137: $i,SV116: $i] :
( ( ( SV116 = SV137 )
| ( ( m_NotNorm @ SV116 )
!= ( m_NotNorm @ SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(604,plain,
! [SV138: $i,SV117: $i] :
( ( ( ( m_NotNorm @ SV117 )
= ( m_NotNorm @ SV138 ) )
| ( SV117 != SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(605,plain,
! [SV139: $i,SV118: $i] :
( ( ( SV118 = SV139 )
| ( ( m_Ldr @ SV118 )
!= ( m_Ldr @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(606,plain,
! [SV140: $i,SV119: $i] :
( ( ( ( m_Ldr @ SV119 )
= ( m_Ldr @ SV140 ) )
| ( SV119 != SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(607,plain,
! [SV141: $i,SV52: $i] :
( ( ! [SY366: $i] :
( ~ ( elem @ SV52 @ ( cons @ SV141 @ SY366 ) )
| ( SV52 = SV141 )
| ( elem @ SV52 @ SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(608,plain,
! [SV52: $i] :
( ( ~ ! [SY322: $i] :
( ( SV52 != SY322 )
| ! [SY323: $i] : ( elem @ SV52 @ ( cons @ SY322 @ SY323 ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( elem @ SV52 @ SY325 )
| ( elem @ SV52 @ ( cons @ SY324 @ SY325 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(609,plain,
( ( ( ( host @ sK5_SY244 )
!= ( host @ sK6_SY249 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(610,plain,
( ( ~ ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(611,plain,
! [SV142: $i,SV120: $i] :
( ( ( SV120 = SV142 )
| ( ( m_Down @ SV120 )
!= ( m_Down @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(612,plain,
! [SV143: $i,SV121: $i] :
( ( ( ( m_Down @ SV121 )
= ( m_Down @ SV143 ) )
| ( SV121 != SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(613,plain,
! [SV122: $i,SV144: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) ) )
| ~ ( ordered @ SV144 )
| ( ordered @ ( cons @ SV122 @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(614,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(615,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ( ordered @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(616,plain,
! [SV123: $i] :
( ( ( ! [SY360: $i] :
~ ( elem @ ( m_Ack @ SV123 @ SY360 ) @ ( queue @ ( host @ SV123 ) ) ) )
= $true )
| ( ( setIn @ SV123 @ pids )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(617,plain,
! [SV145: $i,SV124: $i] :
( ( ~ ( elem @ ( m_Ack @ SV124 @ SV145 ) @ ( queue @ ( host @ SV124 ) ) )
| ( setIn @ SV145 @ pids ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(618,plain,
! [SV146: $i,SV125: $i] :
( ( ( SV125 = SV146 )
| ( ( m_Halt @ SV125 )
!= ( m_Halt @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(619,plain,
! [SV147: $i,SV126: $i] :
( ( ( ( m_Halt @ SV126 )
= ( m_Halt @ SV147 ) )
| ( SV126 != SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(620,plain,
! [SV148: $i,SV127: $i] :
( ( ~ ( leq @ SV127 @ SV148 )
| ~ ( leq @ SV148 @ SV127 )
| ( SV127 = SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(621,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(622,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(623,plain,
! [SV128: $i,SV69: $i,SV101: $i,SV19: $i] :
( ( ( ( m_Ack @ SV19 @ SV101 )
= ( m_Ack @ SV69 @ SV128 ) )
= $false )
| ( ( SV19 = SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(624,plain,
! [SV102: $i,SV70: $i,SV95: $i,SV20: $i] :
( ( ( ( m_Ack @ SV20 @ SV95 )
= ( m_Ack @ SV70 @ SV102 ) )
= $false )
| ( ( SV95 = SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(625,plain,
! [SV37: $i,SV97: $i,SV79: $i] :
( ( ( ( ( host @ SV79 )
!= ( host @ SV97 ) ) )
= $true )
| ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV79 ) @ SV37 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV97 ) @ SV37 ) )
= $true )
| ( ( leq @ SV79 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(626,plain,
! [SV98: $i,SV81: $i,SV41: $i] :
( ( ( leq @ SV41 @ SV81 )
= $false )
| ( ( ~ ( leq @ SV81 @ SV98 ) )
= $true )
| ( ( leq @ SV41 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(627,plain,
! [SV105: $i,SV82: $i,SV43: $i,SV99: $i] :
( ( ( ( ( host @ SV99 )
= ( host @ SV43 ) )
| ~ ( setIn @ SV43 @ alive )
| ~ ( setIn @ SV99 @ alive )
| ( ( host @ SV82 )
!= ( host @ SV43 ) ) )
= $true )
| ( ( ( ( host @ SV105 )
!= ( host @ SV99 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(628,plain,
! [SV83: $i,SV44: $i] :
( ( ( ~ ( setIn @ SV44 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV83 @ alive ) )
= $true )
| ( ( SV83 = SV44 )
= $true )
| ( ( ( host @ SV83 )
= ( host @ SV44 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(629,plain,
! [SV45: $i,SV84: $i] :
( ( ( leq @ SV84 @ SV45 )
= $false )
| ( ( setIn @ SV45 @ alive )
= $true )
| ( ( ( ( host @ SV84 )
!= ( host @ SV45 ) ) )
= $true )
| ( ( ~ ( setIn @ SV84 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(630,plain,
! [SV85: $i,SV100: $i,SV46: $i] :
( ( ( leq @ ( host @ SV46 ) @ ( host @ SV100 ) )
= $false )
| ( ( elem @ ( m_Ack @ SV100 @ SV46 ) @ ( queue @ ( host @ SV85 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(631,plain,
! [SV130: $i,SV106: $i] :
( ( ( SV106 = SV130 )
= $true )
| ( ( ( ( m_NormQ @ SV106 )
!= ( m_NormQ @ SV130 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(632,plain,
! [SV131: $i,SV107: $i] :
( ( ( ( m_NormQ @ SV107 )
= ( m_NormQ @ SV131 ) )
= $true )
| ( ( ( SV107 != SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(633,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) @ ( pidMsg @ SV110 ) ) )
| ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(634,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(635,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
| ( ordered @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(636,plain,
! [SV133: $i,SV111: $i] :
( ( ( ~ ( leq @ SV111 @ SV133 ) )
= $true )
| ( ( leq @ ( s @ SV111 ) @ ( s @ SV133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(637,plain,
! [SV134: $i,SV112: $i] :
( ( ( ~ ( leq @ ( s @ SV112 ) @ ( s @ SV134 ) ) )
= $true )
| ( ( leq @ SV112 @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(638,plain,
! [SV113: $i] :
( ( ( ~ ! [SY350: $i] :
( SV113
!= ( m_Halt @ SY350 ) )
| ~ ! [SY351: $i] :
( SV113
!= ( m_Down @ SY351 ) ) )
= $false )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(639,plain,
! [SV114: $i] :
( ( ( pidElem @ SV114 )
= $false )
| ( ( ( SV114
= ( m_Halt @ ( sK13_Y @ SV114 ) ) )
| ( SV114
= ( m_Down @ ( sK12_Y @ SV114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(640,plain,
! [SV135: $i,SV115: $i] :
( ( ( ~ ( leq @ SV115 @ ( s @ SV135 ) ) )
= $true )
| ( ( ( SV115
= ( s @ SV135 ) )
| ( leq @ SV115 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(641,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( s @ SX1 ) )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(642,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( leq @ SX0 @ ( s @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(643,plain,
! [SV136: $i,SV149: $i,SV51: $i] :
( ( ~ ( elem @ SV51 @ ( snoc @ SV149 @ SV136 ) )
| ( SV51 = SV136 )
| ( elem @ SV51 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(644,plain,
! [SV51: $i] :
( ( ~ ! [SY316: $i] :
( ( SV51 != SY316 )
| ! [SY317: $i] : ( elem @ SV51 @ ( snoc @ SY317 @ SY316 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(645,plain,
! [SV51: $i] :
( ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( elem @ SV51 @ SY319 )
| ( elem @ SV51 @ ( snoc @ SY319 @ SY318 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(646,plain,
! [SV137: $i,SV116: $i] :
( ( ( SV116 = SV137 )
= $true )
| ( ( ( ( m_NotNorm @ SV116 )
!= ( m_NotNorm @ SV137 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(647,plain,
! [SV138: $i,SV117: $i] :
( ( ( ( m_NotNorm @ SV117 )
= ( m_NotNorm @ SV138 ) )
= $true )
| ( ( ( SV117 != SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(648,plain,
! [SV139: $i,SV118: $i] :
( ( ( SV118 = SV139 )
= $true )
| ( ( ( ( m_Ldr @ SV118 )
!= ( m_Ldr @ SV139 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(649,plain,
! [SV140: $i,SV119: $i] :
( ( ( ( m_Ldr @ SV119 )
= ( m_Ldr @ SV140 ) )
= $true )
| ( ( ( SV119 != SV140 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(650,plain,
! [SV150: $i,SV141: $i,SV52: $i] :
( ( ~ ( elem @ SV52 @ ( cons @ SV141 @ SV150 ) )
| ( SV52 = SV141 )
| ( elem @ SV52 @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(651,plain,
! [SV52: $i] :
( ( ~ ! [SY322: $i] :
( ( SV52 != SY322 )
| ! [SY323: $i] : ( elem @ SV52 @ ( cons @ SY322 @ SY323 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(652,plain,
! [SV52: $i] :
( ( ~ ! [SY324: $i,SY325: $i] :
( ~ ( elem @ SV52 @ SY325 )
| ( elem @ SV52 @ ( cons @ SY324 @ SY325 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(653,plain,
( ( ( host @ sK5_SY244 )
= ( host @ sK6_SY249 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(654,plain,
( ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(655,plain,
! [SV142: $i,SV120: $i] :
( ( ( SV120 = SV142 )
= $true )
| ( ( ( ( m_Down @ SV120 )
!= ( m_Down @ SV142 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(656,plain,
! [SV143: $i,SV121: $i] :
( ( ( ( m_Down @ SV121 )
= ( m_Down @ SV143 ) )
= $true )
| ( ( ( SV121 != SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(657,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) ) )
| ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(658,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ! [SX2: $i] :
( ~ ( elem @ SX2 @ SX1 )
| ~ ( pidElem @ SX0 )
| ~ ( pidElem @ SX2 )
| ( ( host @ ( pidMsg @ SX2 ) )
!= ( host @ ( pidMsg @ SX0 ) ) )
| ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(659,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
| ( ordered @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(660,plain,
! [SV151: $i,SV123: $i] :
( ( ( ~ ( elem @ ( m_Ack @ SV123 @ SV151 ) @ ( queue @ ( host @ SV123 ) ) ) )
= $true )
| ( ( setIn @ SV123 @ pids )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(661,plain,
! [SV145: $i,SV124: $i] :
( ( ( ~ ( elem @ ( m_Ack @ SV124 @ SV145 ) @ ( queue @ ( host @ SV124 ) ) ) )
= $true )
| ( ( setIn @ SV145 @ pids )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(662,plain,
! [SV146: $i,SV125: $i] :
( ( ( SV125 = SV146 )
= $true )
| ( ( ( ( m_Halt @ SV125 )
!= ( m_Halt @ SV146 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(663,plain,
! [SV147: $i,SV126: $i] :
( ( ( ( m_Halt @ SV126 )
= ( m_Halt @ SV147 ) )
= $true )
| ( ( ( SV126 != SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(664,plain,
! [SV148: $i,SV127: $i] :
( ( ( ~ ( leq @ SV127 @ SV148 )
| ~ ( leq @ SV148 @ SV127 ) )
= $true )
| ( ( SV127 = SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(665,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(666,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( leq @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(667,plain,
! [SV37: $i,SV97: $i,SV79: $i] :
( ( ( ( host @ SV79 )
= ( host @ SV97 ) )
= $false )
| ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV79 ) @ SV37 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV97 ) @ SV37 ) )
= $true )
| ( ( leq @ SV79 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(668,plain,
! [SV41: $i,SV98: $i,SV81: $i] :
( ( ( leq @ SV81 @ SV98 )
= $false )
| ( ( leq @ SV41 @ SV81 )
= $false )
| ( ( leq @ SV41 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(669,plain,
! [SV105: $i,SV82: $i,SV43: $i,SV99: $i] :
( ( ( ( ( host @ SV99 )
= ( host @ SV43 ) )
| ~ ( setIn @ SV43 @ alive )
| ~ ( setIn @ SV99 @ alive ) )
= $true )
| ( ( ( ( host @ SV82 )
!= ( host @ SV43 ) ) )
= $true )
| ( ( ( ( host @ SV105 )
!= ( host @ SV99 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(670,plain,
! [SV83: $i,SV44: $i] :
( ( ( setIn @ SV44 @ alive )
= $false )
| ( ( ~ ( setIn @ SV83 @ alive ) )
= $true )
| ( ( SV83 = SV44 )
= $true )
| ( ( ( host @ SV83 )
= ( host @ SV44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(671,plain,
! [SV45: $i,SV84: $i] :
( ( ( ( host @ SV84 )
= ( host @ SV45 ) )
= $false )
| ( ( setIn @ SV45 @ alive )
= $true )
| ( ( leq @ SV84 @ SV45 )
= $false )
| ( ( ~ ( setIn @ SV84 @ alive ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(672,plain,
! [SV130: $i,SV106: $i] :
( ( ( ( m_NormQ @ SV106 )
= ( m_NormQ @ SV130 ) )
= $false )
| ( ( SV106 = SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(673,plain,
! [SV131: $i,SV107: $i] :
( ( ( SV107 = SV131 )
= $false )
| ( ( ( m_NormQ @ SV107 )
= ( m_NormQ @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(674,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) @ ( pidMsg @ SV110 ) ) ) )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(675,plain,
! [SV152: $i] :
( ( ! [SY367: $i] :
( ~ ( ordered @ ( snoc @ SY367 @ SV152 ) )
| ! [SY368: $i] :
( ~ ( elem @ SY368 @ SY367 )
| ~ ( pidElem @ SV152 )
| ~ ( pidElem @ SY368 )
| ( ( host @ ( pidMsg @ SY368 ) )
!= ( host @ ( pidMsg @ SV152 ) ) )
| ( leq @ ( pidMsg @ SY368 ) @ ( pidMsg @ SV152 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(676,plain,
! [SV153: $i] :
( ( ! [SY369: $i] :
( ~ ( ordered @ ( snoc @ SY369 @ SV153 ) )
| ( ordered @ SY369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(677,plain,
! [SV133: $i,SV111: $i] :
( ( ( leq @ SV111 @ SV133 )
= $false )
| ( ( leq @ ( s @ SV111 ) @ ( s @ SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(678,plain,
! [SV134: $i,SV112: $i] :
( ( ( leq @ ( s @ SV112 ) @ ( s @ SV134 ) )
= $false )
| ( ( leq @ SV112 @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(679,plain,
! [SV113: $i] :
( ( ( ~ ! [SY350: $i] :
( SV113
!= ( m_Halt @ SY350 ) ) )
= $false )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(680,plain,
! [SV113: $i] :
( ( ( ~ ! [SY351: $i] :
( SV113
!= ( m_Down @ SY351 ) ) )
= $false )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(681,plain,
! [SV114: $i] :
( ( ( SV114
= ( m_Halt @ ( sK13_Y @ SV114 ) ) )
= $true )
| ( ( SV114
= ( m_Down @ ( sK12_Y @ SV114 ) ) )
= $true )
| ( ( pidElem @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(682,plain,
! [SV135: $i,SV115: $i] :
( ( ( leq @ SV115 @ ( s @ SV135 ) )
= $false )
| ( ( ( SV115
= ( s @ SV135 ) )
| ( leq @ SV115 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(683,plain,
! [SV154: $i] :
( ( ! [SY370: $i] :
( ( SV154
!= ( s @ SY370 ) )
| ( leq @ SV154 @ ( s @ SY370 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(684,plain,
! [SV155: $i] :
( ( ! [SY371: $i] :
( ~ ( leq @ SV155 @ SY371 )
| ( leq @ SV155 @ ( s @ SY371 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(685,plain,
! [SV136: $i,SV149: $i,SV51: $i] :
( ( ( ~ ( elem @ SV51 @ ( snoc @ SV149 @ SV136 ) ) )
= $true )
| ( ( ( SV51 = SV136 )
| ( elem @ SV51 @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(686,plain,
! [SV51: $i] :
( ( ! [SY316: $i] :
( ( SV51 != SY316 )
| ! [SY317: $i] : ( elem @ SV51 @ ( snoc @ SY317 @ SY316 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(687,plain,
! [SV51: $i] :
( ( ! [SY318: $i,SY319: $i] :
( ~ ( elem @ SV51 @ SY319 )
| ( elem @ SV51 @ ( snoc @ SY319 @ SY318 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(688,plain,
! [SV137: $i,SV116: $i] :
( ( ( ( m_NotNorm @ SV116 )
= ( m_NotNorm @ SV137 ) )
= $false )
| ( ( SV116 = SV137 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(689,plain,
! [SV138: $i,SV117: $i] :
( ( ( SV117 = SV138 )
= $false )
| ( ( ( m_NotNorm @ SV117 )
= ( m_NotNorm @ SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(690,plain,
! [SV139: $i,SV118: $i] :
( ( ( ( m_Ldr @ SV118 )
= ( m_Ldr @ SV139 ) )
= $false )
| ( ( SV118 = SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(691,plain,
! [SV140: $i,SV119: $i] :
( ( ( SV119 = SV140 )
= $false )
| ( ( ( m_Ldr @ SV119 )
= ( m_Ldr @ SV140 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(692,plain,
! [SV150: $i,SV141: $i,SV52: $i] :
( ( ( ~ ( elem @ SV52 @ ( cons @ SV141 @ SV150 ) ) )
= $true )
| ( ( ( SV52 = SV141 )
| ( elem @ SV52 @ SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(693,plain,
! [SV52: $i] :
( ( ! [SY322: $i] :
( ( SV52 != SY322 )
| ! [SY323: $i] : ( elem @ SV52 @ ( cons @ SY322 @ SY323 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(694,plain,
! [SV52: $i] :
( ( ! [SY324: $i,SY325: $i] :
( ~ ( elem @ SV52 @ SY325 )
| ( elem @ SV52 @ ( cons @ SY324 @ SY325 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(695,plain,
( ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) )
| ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(696,plain,
! [SV142: $i,SV120: $i] :
( ( ( ( m_Down @ SV120 )
= ( m_Down @ SV142 ) )
= $false )
| ( ( SV120 = SV142 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(697,plain,
! [SV143: $i,SV121: $i] :
( ( ( SV121 = SV143 )
= $false )
| ( ( ( m_Down @ SV121 )
= ( m_Down @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(698,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) ) ) )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(699,plain,
! [SV156: $i] :
( ( ! [SY372: $i] :
( ~ ( ordered @ ( cons @ SV156 @ SY372 ) )
| ! [SY373: $i] :
( ~ ( elem @ SY373 @ SY372 )
| ~ ( pidElem @ SV156 )
| ~ ( pidElem @ SY373 )
| ( ( host @ ( pidMsg @ SY373 ) )
!= ( host @ ( pidMsg @ SV156 ) ) )
| ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SY373 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(700,plain,
! [SV157: $i] :
( ( ! [SY374: $i] :
( ~ ( ordered @ ( cons @ SV157 @ SY374 ) )
| ( ordered @ SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(701,plain,
! [SV151: $i,SV123: $i] :
( ( ( elem @ ( m_Ack @ SV123 @ SV151 ) @ ( queue @ ( host @ SV123 ) ) )
= $false )
| ( ( setIn @ SV123 @ pids )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(702,plain,
! [SV145: $i,SV124: $i] :
( ( ( elem @ ( m_Ack @ SV124 @ SV145 ) @ ( queue @ ( host @ SV124 ) ) )
= $false )
| ( ( setIn @ SV145 @ pids )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(703,plain,
! [SV146: $i,SV125: $i] :
( ( ( ( m_Halt @ SV125 )
= ( m_Halt @ SV146 ) )
= $false )
| ( ( SV125 = SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(704,plain,
! [SV147: $i,SV126: $i] :
( ( ( SV126 = SV147 )
= $false )
| ( ( ( m_Halt @ SV126 )
= ( m_Halt @ SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(705,plain,
! [SV148: $i,SV127: $i] :
( ( ( ~ ( leq @ SV127 @ SV148 ) )
= $true )
| ( ( ~ ( leq @ SV148 @ SV127 ) )
= $true )
| ( ( SV127 = SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(706,plain,
! [SV158: $i] :
( ( ! [SY375: $i] :
( ( SV158 != SY375 )
| ( leq @ SV158 @ SY375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(707,plain,
! [SV159: $i] :
( ( ! [SY376: $i] :
( ( SV159 != SY376 )
| ( leq @ SY376 @ SV159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(708,plain,
! [SV97: $i,SV37: $i,SV79: $i] :
( ( ( ordered @ ( cons @ ( m_Halt @ SV79 ) @ SV37 ) )
= $false )
| ( ( ( host @ SV79 )
= ( host @ SV97 ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV97 ) @ SV37 ) )
= $true )
| ( ( leq @ SV79 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(709,plain,
! [SV105: $i,SV82: $i,SV43: $i,SV99: $i] :
( ( ( ( ( host @ SV99 )
= ( host @ SV43 ) )
| ~ ( setIn @ SV43 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV99 @ alive ) )
= $true )
| ( ( ( ( host @ SV82 )
!= ( host @ SV43 ) ) )
= $true )
| ( ( ( ( host @ SV105 )
!= ( host @ SV99 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(710,plain,
! [SV44: $i,SV83: $i] :
( ( ( setIn @ SV83 @ alive )
= $false )
| ( ( setIn @ SV44 @ alive )
= $false )
| ( ( SV83 = SV44 )
= $true )
| ( ( ( host @ SV83 )
= ( host @ SV44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(711,plain,
! [SV45: $i,SV84: $i] :
( ( ( setIn @ SV84 @ alive )
= $false )
| ( ( leq @ SV84 @ SV45 )
= $false )
| ( ( setIn @ SV45 @ alive )
= $true )
| ( ( ( host @ SV84 )
= ( host @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(712,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) @ ( pidMsg @ SV110 ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(713,plain,
! [SV152: $i,SV160: $i] :
( ( ~ ( ordered @ ( snoc @ SV160 @ SV152 ) )
| ! [SY377: $i] :
( ~ ( elem @ SY377 @ SV160 )
| ~ ( pidElem @ SV152 )
| ~ ( pidElem @ SY377 )
| ( ( host @ ( pidMsg @ SY377 ) )
!= ( host @ ( pidMsg @ SV152 ) ) )
| ( leq @ ( pidMsg @ SY377 ) @ ( pidMsg @ SV152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(714,plain,
! [SV153: $i,SV161: $i] :
( ( ~ ( ordered @ ( snoc @ SV161 @ SV153 ) )
| ( ordered @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(715,plain,
! [SV113: $i] :
( ( ( ! [SY350: $i] :
( SV113
!= ( m_Halt @ SY350 ) ) )
= $true )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(716,plain,
! [SV113: $i] :
( ( ( ! [SY351: $i] :
( SV113
!= ( m_Down @ SY351 ) ) )
= $true )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(717,plain,
! [SV135: $i,SV115: $i] :
( ( ( SV115
= ( s @ SV135 ) )
= $true )
| ( ( leq @ SV115 @ SV135 )
= $true )
| ( ( leq @ SV115 @ ( s @ SV135 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(718,plain,
! [SV162: $i,SV154: $i] :
( ( ( SV154
!= ( s @ SV162 ) )
| ( leq @ SV154 @ ( s @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(719,plain,
! [SV163: $i,SV155: $i] :
( ( ~ ( leq @ SV155 @ SV163 )
| ( leq @ SV155 @ ( s @ SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(720,plain,
! [SV136: $i,SV149: $i,SV51: $i] :
( ( ( elem @ SV51 @ ( snoc @ SV149 @ SV136 ) )
= $false )
| ( ( ( SV51 = SV136 )
| ( elem @ SV51 @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(721,plain,
! [SV164: $i,SV51: $i] :
( ( ( SV51 != SV164 )
| ! [SY378: $i] : ( elem @ SV51 @ ( snoc @ SY378 @ SV164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(722,plain,
! [SV165: $i,SV51: $i] :
( ( ! [SY379: $i] :
( ~ ( elem @ SV51 @ SY379 )
| ( elem @ SV51 @ ( snoc @ SY379 @ SV165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(723,plain,
! [SV150: $i,SV141: $i,SV52: $i] :
( ( ( elem @ SV52 @ ( cons @ SV141 @ SV150 ) )
= $false )
| ( ( ( SV52 = SV141 )
| ( elem @ SV52 @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(724,plain,
! [SV166: $i,SV52: $i] :
( ( ( SV52 != SV166 )
| ! [SY380: $i] : ( elem @ SV52 @ ( cons @ SV166 @ SY380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(725,plain,
! [SV167: $i,SV52: $i] :
( ( ! [SY381: $i] :
( ~ ( elem @ SV52 @ SY381 )
| ( elem @ SV52 @ ( cons @ SV167 @ SY381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(726,plain,
( ( ( ( host @ sK3_SY174 )
!= ( host @ sK6_SY249 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(727,plain,
( ( ~ ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(728,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) )
| ~ ~ ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(729,plain,
! [SV168: $i,SV156: $i] :
( ( ~ ( ordered @ ( cons @ SV156 @ SV168 ) )
| ! [SY382: $i] :
( ~ ( elem @ SY382 @ SV168 )
| ~ ( pidElem @ SV156 )
| ~ ( pidElem @ SY382 )
| ( ( host @ ( pidMsg @ SY382 ) )
!= ( host @ ( pidMsg @ SV156 ) ) )
| ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SY382 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(730,plain,
! [SV169: $i,SV157: $i] :
( ( ~ ( ordered @ ( cons @ SV157 @ SV169 ) )
| ( ordered @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(731,plain,
! [SV148: $i,SV127: $i] :
( ( ( leq @ SV127 @ SV148 )
= $false )
| ( ( ~ ( leq @ SV148 @ SV127 ) )
= $true )
| ( ( SV127 = SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(732,plain,
! [SV170: $i,SV158: $i] :
( ( ( SV158 != SV170 )
| ( leq @ SV158 @ SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(733,plain,
! [SV171: $i,SV159: $i] :
( ( ( SV159 != SV171 )
| ( leq @ SV171 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(734,plain,
! [SV79: $i,SV37: $i,SV97: $i] :
( ( ( elem @ ( m_Down @ SV97 ) @ SV37 )
= $false )
| ( ( ( host @ SV79 )
= ( host @ SV97 ) )
= $false )
| ( ( ordered @ ( cons @ ( m_Halt @ SV79 ) @ SV37 ) )
= $false )
| ( ( leq @ SV79 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(735,plain,
! [SV105: $i,SV82: $i,SV43: $i,SV99: $i] :
( ( ( ( host @ SV99 )
= ( host @ SV43 ) )
= $true )
| ( ( ~ ( setIn @ SV43 @ alive ) )
= $true )
| ( ( ~ ( setIn @ SV99 @ alive ) )
= $true )
| ( ( ( ( host @ SV82 )
!= ( host @ SV43 ) ) )
= $true )
| ( ( ( ( host @ SV105 )
!= ( host @ SV99 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(736,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(737,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ~ ( leq @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) @ ( pidMsg @ SV110 ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(738,plain,
! [SV152: $i,SV160: $i] :
( ( ( ~ ( ordered @ ( snoc @ SV160 @ SV152 ) ) )
= $true )
| ( ( ! [SY377: $i] :
( ~ ( elem @ SY377 @ SV160 )
| ~ ( pidElem @ SV152 )
| ~ ( pidElem @ SY377 )
| ( ( host @ ( pidMsg @ SY377 ) )
!= ( host @ ( pidMsg @ SV152 ) ) )
| ( leq @ ( pidMsg @ SY377 ) @ ( pidMsg @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(739,plain,
! [SV153: $i,SV161: $i] :
( ( ( ~ ( ordered @ ( snoc @ SV161 @ SV153 ) ) )
= $true )
| ( ( ordered @ SV161 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(740,plain,
! [SV172: $i,SV113: $i] :
( ( ( ( SV113
!= ( m_Halt @ SV172 ) ) )
= $true )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(741,plain,
! [SV173: $i,SV113: $i] :
( ( ( ( SV113
!= ( m_Down @ SV173 ) ) )
= $true )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(742,plain,
! [SV162: $i,SV154: $i] :
( ( ( ( SV154
!= ( s @ SV162 ) ) )
= $true )
| ( ( leq @ SV154 @ ( s @ SV162 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(743,plain,
! [SV163: $i,SV155: $i] :
( ( ( ~ ( leq @ SV155 @ SV163 ) )
= $true )
| ( ( leq @ SV155 @ ( s @ SV163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(744,plain,
! [SV149: $i,SV136: $i,SV51: $i] :
( ( ( SV51 = SV136 )
= $true )
| ( ( elem @ SV51 @ SV149 )
= $true )
| ( ( elem @ SV51 @ ( snoc @ SV149 @ SV136 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(745,plain,
! [SV164: $i,SV51: $i] :
( ( ( ( SV51 != SV164 ) )
= $true )
| ( ( ! [SY378: $i] : ( elem @ SV51 @ ( snoc @ SY378 @ SV164 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(746,plain,
! [SV165: $i,SV174: $i,SV51: $i] :
( ( ~ ( elem @ SV51 @ SV174 )
| ( elem @ SV51 @ ( snoc @ SV174 @ SV165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(747,plain,
! [SV150: $i,SV141: $i,SV52: $i] :
( ( ( SV52 = SV141 )
= $true )
| ( ( elem @ SV52 @ SV150 )
= $true )
| ( ( elem @ SV52 @ ( cons @ SV141 @ SV150 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(748,plain,
! [SV166: $i,SV52: $i] :
( ( ( ( SV52 != SV166 ) )
= $true )
| ( ( ! [SY380: $i] : ( elem @ SV52 @ ( cons @ SV166 @ SY380 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(749,plain,
! [SV167: $i,SV175: $i,SV52: $i] :
( ( ~ ( elem @ SV52 @ SV175 )
| ( elem @ SV52 @ ( cons @ SV167 @ SV175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(750,plain,
( ( ( host @ sK3_SY174 )
= ( host @ sK6_SY249 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(751,plain,
( ( ~ ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(752,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(753,plain,
! [SV144: $i,SV122: $i] :
( ( ( ~ ~ ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(754,plain,
! [SV168: $i,SV156: $i] :
( ( ( ~ ( ordered @ ( cons @ SV156 @ SV168 ) ) )
= $true )
| ( ( ! [SY382: $i] :
( ~ ( elem @ SY382 @ SV168 )
| ~ ( pidElem @ SV156 )
| ~ ( pidElem @ SY382 )
| ( ( host @ ( pidMsg @ SY382 ) )
!= ( host @ ( pidMsg @ SV156 ) ) )
| ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SY382 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(755,plain,
! [SV169: $i,SV157: $i] :
( ( ( ~ ( ordered @ ( cons @ SV157 @ SV169 ) ) )
= $true )
| ( ( ordered @ SV169 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(756,plain,
! [SV127: $i,SV148: $i] :
( ( ( leq @ SV148 @ SV127 )
= $false )
| ( ( leq @ SV127 @ SV148 )
= $false )
| ( ( SV127 = SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(757,plain,
! [SV170: $i,SV158: $i] :
( ( ( ( SV158 != SV170 ) )
= $true )
| ( ( leq @ SV158 @ SV170 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(758,plain,
! [SV171: $i,SV159: $i] :
( ( ( ( SV159 != SV171 ) )
= $true )
| ( ( leq @ SV171 @ SV159 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(759,plain,
! [SV105: $i,SV82: $i,SV99: $i,SV43: $i] :
( ( ( setIn @ SV43 @ alive )
= $false )
| ( ( ( host @ SV99 )
= ( host @ SV43 ) )
= $true )
| ( ( ~ ( setIn @ SV99 @ alive ) )
= $true )
| ( ( ( ( host @ SV82 )
!= ( host @ SV43 ) ) )
= $true )
| ( ( ( ( host @ SV105 )
!= ( host @ SV99 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(760,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) ) )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(761,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( leq @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) @ ( pidMsg @ SV110 ) ) )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(762,plain,
! [SV152: $i,SV160: $i] :
( ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false )
| ( ( ! [SY377: $i] :
( ~ ( elem @ SY377 @ SV160 )
| ~ ( pidElem @ SV152 )
| ~ ( pidElem @ SY377 )
| ( ( host @ ( pidMsg @ SY377 ) )
!= ( host @ ( pidMsg @ SV152 ) ) )
| ( leq @ ( pidMsg @ SY377 ) @ ( pidMsg @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(763,plain,
! [SV153: $i,SV161: $i] :
( ( ( ordered @ ( snoc @ SV161 @ SV153 ) )
= $false )
| ( ( ordered @ SV161 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(764,plain,
! [SV172: $i,SV113: $i] :
( ( ( SV113
= ( m_Halt @ SV172 ) )
= $false )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(765,plain,
! [SV173: $i,SV113: $i] :
( ( ( SV113
= ( m_Down @ SV173 ) )
= $false )
| ( ( pidElem @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(766,plain,
! [SV162: $i,SV154: $i] :
( ( ( SV154
= ( s @ SV162 ) )
= $false )
| ( ( leq @ SV154 @ ( s @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(767,plain,
! [SV163: $i,SV155: $i] :
( ( ( leq @ SV155 @ SV163 )
= $false )
| ( ( leq @ SV155 @ ( s @ SV163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(768,plain,
! [SV164: $i,SV51: $i] :
( ( ( SV51 = SV164 )
= $false )
| ( ( ! [SY378: $i] : ( elem @ SV51 @ ( snoc @ SY378 @ SV164 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(769,plain,
! [SV165: $i,SV174: $i,SV51: $i] :
( ( ( ~ ( elem @ SV51 @ SV174 ) )
= $true )
| ( ( elem @ SV51 @ ( snoc @ SV174 @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(770,plain,
! [SV166: $i,SV52: $i] :
( ( ( SV52 = SV166 )
= $false )
| ( ( ! [SY380: $i] : ( elem @ SV52 @ ( cons @ SV166 @ SY380 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(771,plain,
! [SV167: $i,SV175: $i,SV52: $i] :
( ( ( ~ ( elem @ SV52 @ SV175 ) )
= $true )
| ( ( elem @ SV52 @ ( cons @ SV167 @ SV175 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(772,plain,
( ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(773,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) ) )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(774,plain,
! [SV144: $i,SV122: $i] :
( ( ( ~ ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) ) )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(775,plain,
! [SV168: $i,SV156: $i] :
( ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false )
| ( ( ! [SY382: $i] :
( ~ ( elem @ SY382 @ SV168 )
| ~ ( pidElem @ SV156 )
| ~ ( pidElem @ SY382 )
| ( ( host @ ( pidMsg @ SY382 ) )
!= ( host @ ( pidMsg @ SV156 ) ) )
| ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SY382 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(776,plain,
! [SV169: $i,SV157: $i] :
( ( ( ordered @ ( cons @ SV157 @ SV169 ) )
= $false )
| ( ( ordered @ SV169 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(777,plain,
! [SV170: $i,SV158: $i] :
( ( ( SV158 = SV170 )
= $false )
| ( ( leq @ SV158 @ SV170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(778,plain,
! [SV171: $i,SV159: $i] :
( ( ( SV159 = SV171 )
= $false )
| ( ( leq @ SV171 @ SV159 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(779,plain,
! [SV105: $i,SV82: $i,SV43: $i,SV99: $i] :
( ( ( setIn @ SV99 @ alive )
= $false )
| ( ( ( host @ SV99 )
= ( host @ SV43 ) )
= $true )
| ( ( setIn @ SV43 @ alive )
= $false )
| ( ( ( ( host @ SV82 )
!= ( host @ SV43 ) ) )
= $true )
| ( ( ( ( host @ SV105 )
!= ( host @ SV99 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(780,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
| ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(781,plain,
! [SV110: $i,SV132: $i] :
( ( ( leq @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) @ ( pidMsg @ SV110 ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(782,plain,
! [SV152: $i,SV160: $i,SV176: $i] :
( ( ( ~ ( elem @ SV176 @ SV160 )
| ~ ( pidElem @ SV152 )
| ~ ( pidElem @ SV176 )
| ( ( host @ ( pidMsg @ SV176 ) )
!= ( host @ ( pidMsg @ SV152 ) ) )
| ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(783,plain,
! [SV164: $i,SV177: $i,SV51: $i] :
( ( ( elem @ SV51 @ ( snoc @ SV177 @ SV164 ) )
= $true )
| ( ( SV51 = SV164 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(784,plain,
! [SV165: $i,SV174: $i,SV51: $i] :
( ( ( elem @ SV51 @ SV174 )
= $false )
| ( ( elem @ SV51 @ ( snoc @ SV174 @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(785,plain,
! [SV178: $i,SV166: $i,SV52: $i] :
( ( ( elem @ SV52 @ ( cons @ SV166 @ SV178 ) )
= $true )
| ( ( SV52 = SV166 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(786,plain,
! [SV167: $i,SV175: $i,SV52: $i] :
( ( ( elem @ SV52 @ SV175 )
= $false )
| ( ( elem @ SV52 @ ( cons @ SV167 @ SV175 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(787,plain,
( ( ~ ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(788,plain,
( ( ~ ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(789,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
| ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(790,plain,
! [SV144: $i,SV122: $i] :
( ( ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(791,plain,
! [SV156: $i,SV168: $i,SV179: $i] :
( ( ( ~ ( elem @ SV179 @ SV168 )
| ~ ( pidElem @ SV156 )
| ~ ( pidElem @ SV179 )
| ( ( host @ ( pidMsg @ SV179 ) )
!= ( host @ ( pidMsg @ SV156 ) ) )
| ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(792,plain,
! [SV105: $i,SV99: $i,SV43: $i,SV82: $i] :
( ( ( ( host @ SV82 )
= ( host @ SV43 ) )
= $false )
| ( ( setIn @ SV43 @ alive )
= $false )
| ( ( ( host @ SV99 )
= ( host @ SV43 ) )
= $true )
| ( ( setIn @ SV99 @ alive )
= $false )
| ( ( ( ( host @ SV105 )
!= ( host @ SV99 ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(793,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(794,plain,
! [SV110: $i,SV132: $i] :
( ( ( ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
!= ( host @ ( pidMsg @ SV110 ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(795,plain,
! [SV110: $i,SV132: $i] :
( ( ( ordered @ SV132 )
= $false )
| ( ( leq @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) @ ( pidMsg @ SV110 ) )
= $false )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(796,plain,
! [SV152: $i,SV160: $i,SV176: $i] :
( ( ( ~ ( elem @ SV176 @ SV160 )
| ~ ( pidElem @ SV152 )
| ~ ( pidElem @ SV176 )
| ( ( host @ ( pidMsg @ SV176 ) )
!= ( host @ ( pidMsg @ SV152 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(797,plain,
( ( ( ( host @ sK5_SY244 )
!= ( host @ sK8_SY256 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(798,plain,
( ( ~ ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(799,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[789]) ).
thf(800,plain,
! [SV122: $i,SV144: $i] :
( ( ( ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
!= ( host @ ( pidMsg @ SV122 ) ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[789]) ).
thf(801,plain,
! [SV122: $i,SV144: $i] :
( ( ( ordered @ SV144 )
= $false )
| ( ( leq @ ( pidMsg @ SV122 ) @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
= $false )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(802,plain,
! [SV156: $i,SV168: $i,SV179: $i] :
( ( ( ~ ( elem @ SV179 @ SV168 )
| ~ ( pidElem @ SV156 )
| ~ ( pidElem @ SV179 )
| ( ( host @ ( pidMsg @ SV179 ) )
!= ( host @ ( pidMsg @ SV156 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(803,plain,
! [SV82: $i,SV43: $i,SV99: $i,SV105: $i] :
( ( ( ( host @ SV105 )
= ( host @ SV99 ) )
= $false )
| ( ( setIn @ SV99 @ alive )
= $false )
| ( ( ( host @ SV99 )
= ( host @ SV43 ) )
= $true )
| ( ( setIn @ SV43 @ alive )
= $false )
| ( ( ( host @ SV82 )
= ( host @ SV43 ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
| ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(804,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) ) )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(805,plain,
! [SV110: $i,SV132: $i] :
( ( ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
= ( host @ ( pidMsg @ SV110 ) ) )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(806,plain,
! [SV152: $i,SV160: $i,SV176: $i] :
( ( ( ~ ( elem @ SV176 @ SV160 )
| ~ ( pidElem @ SV152 )
| ~ ( pidElem @ SV176 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV176 ) )
!= ( host @ ( pidMsg @ SV152 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(807,plain,
( ( ( host @ sK5_SY244 )
= ( host @ sK8_SY256 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(808,plain,
( ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(809,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) ) )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(810,plain,
! [SV122: $i,SV144: $i] :
( ( ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
= ( host @ ( pidMsg @ SV122 ) ) )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(811,plain,
! [SV156: $i,SV168: $i,SV179: $i] :
( ( ( ~ ( elem @ SV179 @ SV168 )
| ~ ( pidElem @ SV156 )
| ~ ( pidElem @ SV179 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV179 ) )
!= ( host @ ( pidMsg @ SV156 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(812,plain,
! [SV99: $i,SV82: $i,SV43: $i,SV105: $i] :
( ( ( ~ ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) ) )
= $true )
| ( ( ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true )
| ( ( ( host @ SV82 )
= ( host @ SV43 ) )
= $false )
| ( ( setIn @ SV43 @ alive )
= $false )
| ( ( ( host @ SV99 )
= ( host @ SV43 ) )
= $true )
| ( ( setIn @ SV99 @ alive )
= $false )
| ( ( ( host @ SV105 )
= ( host @ SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(813,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
| ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(814,plain,
! [SV110: $i,SV132: $i] :
( ( ( ordered @ SV132 )
= $false )
| ( ( ( host @ ( pidMsg @ ( sK10_Y @ SV132 @ SV110 ) ) )
= ( host @ ( pidMsg @ SV110 ) ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(815,plain,
! [SV152: $i,SV160: $i,SV176: $i] :
( ( ( ~ ( elem @ SV176 @ SV160 )
| ~ ( pidElem @ SV152 ) )
= $true )
| ( ( ~ ( pidElem @ SV176 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV176 ) )
!= ( host @ ( pidMsg @ SV152 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(816,plain,
( ( ~ ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(817,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(818,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
| ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(819,plain,
! [SV122: $i,SV144: $i] :
( ( ( ordered @ SV144 )
= $false )
| ( ( ( host @ ( pidMsg @ ( sK11_Y @ SV144 @ SV122 ) ) )
= ( host @ ( pidMsg @ SV122 ) ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(820,plain,
! [SV156: $i,SV168: $i,SV179: $i] :
( ( ( ~ ( elem @ SV179 @ SV168 )
| ~ ( pidElem @ SV156 ) )
= $true )
| ( ( ~ ( pidElem @ SV179 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV179 ) )
!= ( host @ ( pidMsg @ SV156 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(821,plain,
! [SV99: $i,SV82: $i,SV43: $i,SV105: $i] :
( ( ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
= $false )
| ( ( ~ ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) ) )
= $true )
| ( ( ( host @ SV82 )
= ( host @ SV43 ) )
= $false )
| ( ( setIn @ SV43 @ alive )
= $false )
| ( ( ( host @ SV99 )
= ( host @ SV43 ) )
= $true )
| ( ( setIn @ SV99 @ alive )
= $false )
| ( ( ( host @ SV105 )
= ( host @ SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(822,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[813]) ).
thf(823,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[813]) ).
thf(824,plain,
! [SV152: $i,SV160: $i,SV176: $i] :
( ( ( ~ ( elem @ SV176 @ SV160 ) )
= $true )
| ( ( ~ ( pidElem @ SV152 ) )
= $true )
| ( ( ~ ( pidElem @ SV176 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV176 ) )
!= ( host @ ( pidMsg @ SV152 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(825,plain,
( ( ( ( host @ sK3_SY174 )
!= ( host @ sK8_SY256 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(826,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(827,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(828,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(829,plain,
! [SV156: $i,SV168: $i,SV179: $i] :
( ( ( ~ ( elem @ SV179 @ SV168 ) )
= $true )
| ( ( ~ ( pidElem @ SV156 ) )
= $true )
| ( ( ~ ( pidElem @ SV179 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV179 ) )
!= ( host @ ( pidMsg @ SV156 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(830,plain,
! [SV43: $i,SV105: $i,SV99: $i,SV82: $i] :
( ( ( elem @ ( m_Down @ SV82 ) @ ( queue @ ( host @ SV99 ) ) )
= $false )
| ( ( elem @ ( m_Down @ SV105 ) @ ( queue @ ( host @ SV43 ) ) )
= $false )
| ( ( ( host @ SV82 )
= ( host @ SV43 ) )
= $false )
| ( ( setIn @ SV43 @ alive )
= $false )
| ( ( ( host @ SV99 )
= ( host @ SV43 ) )
= $true )
| ( ( setIn @ SV99 @ alive )
= $false )
| ( ( ( host @ SV105 )
= ( host @ SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(831,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) ) )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(832,plain,
! [SV110: $i,SV132: $i] :
( ( ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(833,plain,
! [SV152: $i,SV160: $i,SV176: $i] :
( ( ( elem @ SV176 @ SV160 )
= $false )
| ( ( ~ ( pidElem @ SV152 ) )
= $true )
| ( ( ~ ( pidElem @ SV176 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV176 ) )
!= ( host @ ( pidMsg @ SV152 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(834,plain,
( ( ( host @ sK3_SY174 )
= ( host @ sK8_SY256 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(835,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
| ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(836,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) ) )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(837,plain,
! [SV122: $i,SV144: $i] :
( ( ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(838,plain,
! [SV156: $i,SV168: $i,SV179: $i] :
( ( ( elem @ SV179 @ SV168 )
= $false )
| ( ( ~ ( pidElem @ SV156 ) )
= $true )
| ( ( ~ ( pidElem @ SV179 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV179 ) )
!= ( host @ ( pidMsg @ SV156 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(839,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
| ~ ( pidElem @ SV110 ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(840,plain,
! [SV110: $i,SV132: $i] :
( ( ( ordered @ SV132 )
= $false )
| ( ( pidElem @ ( sK10_Y @ SV132 @ SV110 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(841,plain,
! [SV160: $i,SV176: $i,SV152: $i] :
( ( ( pidElem @ SV152 )
= $false )
| ( ( elem @ SV176 @ SV160 )
= $false )
| ( ( ~ ( pidElem @ SV176 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV176 ) )
!= ( host @ ( pidMsg @ SV152 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(842,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(843,plain,
( ( ~ ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(844,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
| ~ ( pidElem @ SV122 ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(845,plain,
! [SV122: $i,SV144: $i] :
( ( ( ordered @ SV144 )
= $false )
| ( ( pidElem @ ( sK11_Y @ SV144 @ SV122 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(846,plain,
! [SV168: $i,SV179: $i,SV156: $i] :
( ( ( pidElem @ SV156 )
= $false )
| ( ( elem @ SV179 @ SV168 )
= $false )
| ( ( ~ ( pidElem @ SV179 ) )
= $true )
| ( ( ( ( host @ ( pidMsg @ SV179 ) )
!= ( host @ ( pidMsg @ SV156 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(847,plain,
! [SV110: $i,SV132: $i] :
( ( ( ~ ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(848,plain,
! [SV132: $i,SV110: $i] :
( ( ( ~ ( pidElem @ SV110 ) )
= $false )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(849,plain,
! [SV152: $i,SV160: $i,SV176: $i] :
( ( ( pidElem @ SV176 )
= $false )
| ( ( elem @ SV176 @ SV160 )
= $false )
| ( ( pidElem @ SV152 )
= $false )
| ( ( ( ( host @ ( pidMsg @ SV176 ) )
!= ( host @ ( pidMsg @ SV152 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(850,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(851,plain,
( ( ~ ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(852,plain,
! [SV122: $i,SV144: $i] :
( ( ( ~ ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(853,plain,
! [SV144: $i,SV122: $i] :
( ( ( ~ ( pidElem @ SV122 ) )
= $false )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(854,plain,
! [SV156: $i,SV168: $i,SV179: $i] :
( ( ( pidElem @ SV179 )
= $false )
| ( ( elem @ SV179 @ SV168 )
= $false )
| ( ( pidElem @ SV156 )
= $false )
| ( ( ( ( host @ ( pidMsg @ SV179 ) )
!= ( host @ ( pidMsg @ SV156 ) ) ) )
= $true )
| ( ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(855,plain,
! [SV110: $i,SV132: $i] :
( ( ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(856,plain,
! [SV132: $i,SV110: $i] :
( ( ( pidElem @ SV110 )
= $true )
| ( ( ~ ( ordered @ SV132 ) )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(857,plain,
! [SV160: $i,SV152: $i,SV176: $i] :
( ( ( ( host @ ( pidMsg @ SV176 ) )
= ( host @ ( pidMsg @ SV152 ) ) )
= $false )
| ( ( pidElem @ SV152 )
= $false )
| ( ( elem @ SV176 @ SV160 )
= $false )
| ( ( pidElem @ SV176 )
= $false )
| ( ( leq @ ( pidMsg @ SV176 ) @ ( pidMsg @ SV152 ) )
= $true )
| ( ( ordered @ ( snoc @ SV160 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(858,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
| ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(859,plain,
( ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
| ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(860,plain,
! [SV122: $i,SV144: $i] :
( ( ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(861,plain,
! [SV144: $i,SV122: $i] :
( ( ( pidElem @ SV122 )
= $true )
| ( ( ~ ( ordered @ SV144 ) )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[853]) ).
thf(862,plain,
! [SV168: $i,SV156: $i,SV179: $i] :
( ( ( ( host @ ( pidMsg @ SV179 ) )
= ( host @ ( pidMsg @ SV156 ) ) )
= $false )
| ( ( pidElem @ SV156 )
= $false )
| ( ( elem @ SV179 @ SV168 )
= $false )
| ( ( pidElem @ SV179 )
= $false )
| ( ( leq @ ( pidMsg @ SV156 ) @ ( pidMsg @ SV179 ) )
= $true )
| ( ( ordered @ ( cons @ SV156 @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(863,plain,
! [SV110: $i,SV132: $i] :
( ( ( ordered @ SV132 )
= $false )
| ( ( elem @ ( sK10_Y @ SV132 @ SV110 ) @ SV132 )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(864,plain,
! [SV110: $i,SV132: $i] :
( ( ( ordered @ SV132 )
= $false )
| ( ( pidElem @ SV110 )
= $true )
| ( ( ordered @ ( snoc @ SV132 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(865,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(866,plain,
( ( ( ( host @ sK9_SY258 )
!= ( host @ sK8_SY256 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(867,plain,
( ( ~ ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(868,plain,
( ( ~ ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(869,plain,
! [SV122: $i,SV144: $i] :
( ( ( ordered @ SV144 )
= $false )
| ( ( elem @ ( sK11_Y @ SV144 @ SV122 ) @ SV144 )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(870,plain,
! [SV122: $i,SV144: $i] :
( ( ( ordered @ SV144 )
= $false )
| ( ( pidElem @ SV122 )
= $true )
| ( ( ordered @ ( cons @ SV122 @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(871,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(872,plain,
( ( ( host @ sK9_SY258 )
= ( host @ sK8_SY256 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(873,plain,
( ( elem @ ( m_Down @ sK7_SY253 ) @ ( queue @ ( host @ sK8_SY256 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(874,plain,
( ( elem @ ( m_Down @ sK9_SY258 ) @ ( snoc @ sK1_V @ ( m_Ldr @ sK3_SY174 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(875,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
| ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(876,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(877,plain,
( ( ( ( host @ sK7_SY253 )
!= ( host @ sK6_SY249 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(878,plain,
( ( ~ ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(879,plain,
( ( ( host @ sK7_SY253 )
= ( host @ sK6_SY249 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(880,plain,
( ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
| ~ ( setIn @ sK8_SY256 @ alive ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(881,plain,
( ( ~ ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(882,plain,
( ( ~ ( setIn @ sK8_SY256 @ alive ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(883,plain,
( ( ~ ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(884,plain,
( ( setIn @ sK8_SY256 @ alive )
= $true ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(885,plain,
( ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
| ~ ( setIn @ sK6_SY249 @ alive ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(886,plain,
( ( ~ ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(887,plain,
( ( ~ ( setIn @ sK6_SY249 @ alive ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(888,plain,
( ( ( ( host @ sK8_SY256 )
!= ( host @ sK6_SY249 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(889,plain,
( ( setIn @ sK6_SY249 @ alive )
= $true ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(890,plain,
( ( ( host @ sK8_SY256 )
= ( host @ sK6_SY249 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(891,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[214,890,889,884,879,874,873,872,870,869,864,863,862,857,845,840,834,830,819,814,807,801,795,786,785,784,783,778,777,776,767,766,765,764,763,756,750,747,744,734,717,711,710,704,703,702,701,697,696,691,690,689,688,681,678,677,673,672,668,653,630,624,623,588,587,586,585,578,575,563,546,545,532,530,527,526,525,524,523,480,476,475,474,470,469,468,467,466,465,464,463,462,461,416,413,409,405,404,403,402,401,400,353,348,347,344,335,316,315,314,313,312,311,310,309,282,281,280,279,278,277,262]) ).
thf(892,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[891]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV449+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 17:27:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.37 .
% 0.19/0.44
% 0.19/0.44 No.of.Axioms: 66
% 0.19/0.44
% 0.19/0.44 Length.of.Defs: 0
% 0.19/0.44
% 0.19/0.44 Contains.Choice.Funs: false
% 0.19/0.46 ..
% 0.19/0.51 (rf:0,axioms:66,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:68,loop_count:0,foatp_calls:0,translation:fof_full)......................................................
% 3.09/3.31
% 3.09/3.31 ********************************
% 3.09/3.31 * All subproblems solved! *
% 3.09/3.31 ********************************
% 3.09/3.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:80,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:891,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.43/3.61
% 3.43/3.61 %**** Beginning of derivation protocol ****
% 3.43/3.61 % SZS output start CNFRefutation
% See solution above
% 3.43/3.61
% 3.43/3.61 %**** End of derivation protocol ****
% 3.43/3.61 %**** no. of clauses in derivation: 892 ****
% 3.43/3.61 %**** clause counter: 891 ****
% 3.43/3.61
% 3.43/3.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:80,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:891,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------