%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV480+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:59:34 AM UTC 2026
% Result : Theorem 103.57s 21.99s
% Output : Refutation 107.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 84
% Syntax : Number of formulae : 621 ( 316 unt; 0 typ; 17 def)
% Number of atoms : 2608 (1370 equ; 0 cnn)
% Maximal formula atoms : 175 ( 4 avg)
% Number of connectives : 10006 (1288 ~; 723 |; 787 &;6916 @)
% ( 13 <=>; 279 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 27 con; 0-4 aty)
% Number of variables : 1343 ( 9 ^;1228 !; 89 ?;1343 :)
% ( 0 !>; 0 ?*; 0 @-; 17 @+)
% Comments :
%------------------------------------------------------------------------------
thf(elem_decl,type,
elem: $i > $i > $o ).
thf(m_Ldr_decl,type,
m_Ldr: $i > $i ).
thf(queue_decl,type,
queue: $i > $i ).
thf(host_decl,type,
host: $i > $i ).
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(m_Down_decl,type,
m_Down: $i > $i ).
thf(setIn_decl,type,
setIn: $i > $i > $o ).
thf(alive_decl,type,
alive: $i ).
thf(index_decl,type,
index: $i > $i > $i ).
thf(status_decl,type,
status: $i ).
thf(elec_1_decl,type,
elec_1: $i ).
thf(elec_2_decl,type,
elec_2: $i ).
thf(elid_decl,type,
elid: $i ).
thf(down_decl,type,
down: $i ).
thf(pendack_decl,type,
pendack: $i ).
thf(norm_decl,type,
norm: $i ).
thf(ldr_decl,type,
ldr: $i ).
thf(wait_decl,type,
wait: $i ).
thf(s_decl,type,
s: $i > $i ).
thf(zero_decl,type,
zero: $i ).
thf(m_Ack_decl,type,
m_Ack: $i > $i > $i ).
thf(nbr_proc_decl,type,
nbr_proc: $i ).
thf(cons_decl,type,
cons: $i > $i > $i ).
thf(acks_decl,type,
acks: $i ).
thf(m_NotNorm_decl,type,
m_NotNorm: $i > $i ).
thf(m_Halt_decl,type,
m_Halt: $i > $i ).
thf(m_NormQ_decl,type,
m_NormQ: $i > $i ).
thf(pidMsg_decl,type,
pidMsg: $i > $i ).
thf(last_decl,type,
last: $i > $i ).
thf(snoc_decl,type,
snoc: $i > $i > $i ).
thf(q_nil_decl,type,
q_nil: $i ).
thf(init_decl,type,
init: $i > $i ).
thf(ordered_decl,type,
ordered: $i > $o ).
thf(nil_decl,type,
nil: $i ).
thf(setEmpty_decl,type,
setEmpty: $i ).
thf(tail_decl,type,
tail: $i > $i ).
thf(pidElem_decl,type,
pidElem: $i > $o ).
thf(head_decl,type,
head: $i > $i ).
thf(pids_decl,type,
pids: $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i > $i > $i > $i > $i ).
thf(sk5_decl,type,
sk5: $i > $i > $i > $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i ).
thf(sk9_decl,type,
sk9: $i ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk11_decl,type,
sk11: $i > $i ).
thf(sk12_decl,type,
sk12: $i > $i ).
thf(sk13_decl,type,
sk13: $i > $i ).
thf(sk16_decl,type,
sk16: $i > $i ).
thf(sk17_decl,type,
sk17: $i > $i ).
thf(sk18_decl,type,
sk18: $i > $i ).
thf(sk21_decl,type,
sk21: $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( ( ( B @ host @ queue )
= ( A @ ( C @ m_Down @ cons ) ) )
& ( ? [D: $i,E: $i,F: $i] :
( ( ( F @ host @ ( status @ index ) )
= elec_1 )
& ( ( D @ host )
= ( F @ host @ s ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( F @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( F @ setIn ) )
& ! [G: $i] :
( ( ( G @ ( zero @ s @ leq ) )
& ~ ( G @ ( F @ host @ leq ) ) )
=> ( ( G
= ( E @ host ) )
| ( F @ host @ ( down @ index ) @ ( G @ setIn ) ) ) ) )
=> ~ ? [D: $i] :
( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ? [F: $i,G: $i] :
( ( ( G @ host @ ( status @ index ) )
= elec_1 )
& ( ( D @ host @ ( status @ index ) )
= elec_2 )
& ( ( E @ host )
= ( G @ host ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( G @ host @ ( D @ host @ leq ) )
& ( alive @ ( D @ setIn ) )
& ! [H: $i] :
( ( ( H @ ( zero @ s @ leq ) )
& ~ ( H @ ( G @ host @ leq ) ) )
=> ( ( H
= ( F @ host ) )
| ( G @ host @ ( down @ index ) @ ( H @ setIn ) ) ) ) )
=> ~ ( D @ host @ queue @ ( E @ ( D @ m_Ack ) @ elem ) ) )
& ! [D: $i,E: $i] :
( ? [F: $i] :
( ( ( F @ host @ ( elid @ index ) @ host )
= ( E @ host ) )
& ( ( F @ host @ ( status @ index ) )
= wait )
& ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( ( F @ host )
!= ( E @ host ) ) )
=> ~ ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ? [F: $i] :
( ( ( F @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( ( F @ host )
!= ( E @ host ) ) )
=> ~ ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( ( G @ host )
= ( F @ host ) )
& ( ( E @ host )
= ( D @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) )
& ( ( F @ host )
!= ( D @ host ) ) )
=> ~ ( ( F @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( D @ host @ queue @ ( G @ m_Down @ elem ) ) ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( ( G @ host )
= ( F @ host ) )
& ( ( E @ host )
= ( D @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) )
& ( ( F @ host )
!= ( D @ host ) ) )
=> ~ ( ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( D @ host @ queue @ ( G @ m_Down @ elem ) ) ) )
& ! [D: $i] :
( ? [E: $i,F: $i] :
( ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ~ ( F @ host @ ( E @ host @ leq ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( E = D ) )
& ! [D: $i,E: $i] :
( ? [F: $i] :
( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host )
= ( F @ host ) )
& ( alive @ ( F @ setIn ) ) )
=> ~ ( ( D @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( F @ host @ ( status @ index ) )
= elec_2 )
& ( ( F @ host )
= ( E @ host ) )
& ( D @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( D @ host @ ( F @ host @ ( pendack @ index ) @ leq ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) )
=> ~ ( ( D @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( D @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( D @ host @ ( E @ host @ ( pendack @ index ) @ leq ) ) )
& ! [D: $i] :
( ( ( alive @ ( D @ setIn ) )
& ( ( ( D @ host @ ( status @ index ) )
= elec_2 )
| ( ( D @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( D @ host @ ( elid @ index ) )
= D ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( E != D ) )
=> ( ~ ( alive @ ( E @ setIn ) )
| ~ ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Down @ elem ) )
=> ( ( E @ host )
!= ( D @ host ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Ldr @ elem ) )
=> ~ ( E @ host @ ( D @ host @ leq ) ) ) )
=> ( ( alive @ ( B @ setIn ) )
=> ( ( C @ host @ ( B @ host @ leq ) )
=> ( ( ( ( C @ host )
= ( B @ host @ ( pendack @ index ) ) )
& ( ( B @ host @ ( status @ index ) )
= elec_2 ) )
=> ( ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
=> ( ~ ! [D: $i] : ( B @ host @ ( acks @ index ) @ ( D @ host @ setIn ) )
=> ! [D: $i] :
( ( ( B @ host )
= ( D @ host ) )
=> ! [E: $i,F: $i,G: $i] :
( ( ( B @ host )
!= ( G @ host ) )
=> ( ( ( ( G @ host @ ( status @ index ) )
= elec_1 )
& ( ( E @ host )
= ( G @ host @ s ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( G @ host @ queue @ ( E @ m_Down @ elem ) )
& ( G @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( G @ setIn ) )
& ! [H: $i] :
( ( ( H @ ( zero @ s @ leq ) )
& ~ ( H @ ( G @ host @ leq ) ) )
=> ( ( H
= ( F @ host ) )
| ( G @ host @ ( down @ index ) @ ( H @ setIn ) ) ) ) )
=> ~ ( ( ( B @ host )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i] :
( ( ( ( A @ host @ queue )
= ( sk1 @ ( B @ m_Down @ cons ) ) )
& ( ? [C: $i,D: $i,E: $i] :
( ( ( E @ host @ ( status @ index ) )
= elec_1 )
& ( ( C @ host )
= ( E @ host @ s ) )
& ( E @ host @ queue @ ( C @ m_Down @ elem ) )
& ( E @ host @ queue @ ( D @ m_Down @ elem ) )
& ( E @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( E @ setIn ) )
& ! [F: $i] :
( ( ( F @ ( zero @ s @ leq ) )
& ~ ( F @ ( E @ host @ leq ) ) )
=> ( ( F
= ( D @ host ) )
| ( E @ host @ ( down @ index ) @ ( F @ setIn ) ) ) ) )
=> ~ ? [C: $i] :
( ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( alive @ ( C @ setIn ) ) ) )
& ! [C: $i,D: $i] :
( ? [E: $i,F: $i] :
( ( ( F @ host @ ( status @ index ) )
= elec_1 )
& ( ( C @ host @ ( status @ index ) )
= elec_2 )
& ( ( D @ host )
= ( F @ host ) )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( F @ host @ ( C @ host @ leq ) )
& ( alive @ ( C @ setIn ) )
& ! [G: $i] :
( ( ( G @ ( zero @ s @ leq ) )
& ~ ( G @ ( F @ host @ leq ) ) )
=> ( ( G
= ( E @ host ) )
| ( F @ host @ ( down @ index ) @ ( G @ setIn ) ) ) ) )
=> ~ ( C @ host @ queue @ ( D @ ( C @ m_Ack ) @ elem ) ) )
& ! [C: $i,D: $i] :
( ? [E: $i] :
( ( ( E @ host @ ( elid @ index ) @ host )
= ( D @ host ) )
& ( ( E @ host @ ( status @ index ) )
= wait )
& ( ( D @ host )
= ( C @ host ) )
& ( E @ host @ queue @ ( C @ m_Down @ elem ) )
& ( alive @ ( E @ setIn ) )
& ( ( E @ host )
!= ( D @ host ) ) )
=> ~ ( ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( alive @ ( D @ setIn ) ) ) )
& ! [C: $i,D: $i] :
( ? [E: $i] :
( ( ( E @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( D @ host )
= ( C @ host ) )
& ( E @ host @ queue @ ( C @ m_Down @ elem ) )
& ( alive @ ( E @ setIn ) )
& ( ( E @ host )
!= ( D @ host ) ) )
=> ~ ( ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( alive @ ( D @ setIn ) ) ) )
& ! [C: $i,D: $i,E: $i,F: $i] :
( ( ( ( F @ host )
= ( E @ host ) )
& ( ( D @ host )
= ( C @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( C @ setIn ) )
& ( ( E @ host )
!= ( C @ host ) ) )
=> ~ ( ( E @ host @ ( down @ index ) @ ( D @ host @ setIn ) )
& ( C @ host @ queue @ ( F @ m_Down @ elem ) ) ) )
& ! [C: $i,D: $i,E: $i,F: $i] :
( ( ( ( F @ host )
= ( E @ host ) )
& ( ( D @ host )
= ( C @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( C @ setIn ) )
& ( ( E @ host )
!= ( C @ host ) ) )
=> ~ ( ( E @ host @ queue @ ( D @ m_Down @ elem ) )
& ( C @ host @ queue @ ( F @ m_Down @ elem ) ) ) )
& ! [C: $i] :
( ? [D: $i,E: $i] :
( ( ( D @ host )
= ( C @ host ) )
& ( E @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( E @ setIn ) )
& ~ ( E @ host @ ( D @ host @ leq ) ) )
=> ~ ( ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( alive @ ( C @ setIn ) ) ) )
& ! [C: $i,D: $i] :
( ( ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( alive @ ( D @ setIn ) )
& ( alive @ ( C @ setIn ) ) )
=> ( D = C ) )
& ! [C: $i,D: $i] :
( ? [E: $i] :
( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( D @ host )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) )
=> ~ ( ( C @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( C @ setIn ) ) ) )
& ! [C: $i,D: $i,E: $i] :
( ( ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( ( E @ host )
= ( D @ host ) )
& ( C @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( C @ setIn ) ) )
=> ( C @ host @ ( E @ host @ ( pendack @ index ) @ leq ) ) )
& ! [C: $i,D: $i] :
( ( ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( alive @ ( D @ setIn ) ) )
=> ~ ( ( C @ host @ ( down @ index ) @ ( D @ host @ setIn ) )
& ( alive @ ( C @ setIn ) ) ) )
& ! [C: $i,D: $i] :
( ( ( ( D @ host @ ( status @ index ) )
= elec_2 )
& ( C @ host @ ( down @ index ) @ ( D @ host @ setIn ) )
& ( alive @ ( D @ setIn ) )
& ( alive @ ( C @ setIn ) ) )
=> ( C @ host @ ( D @ host @ ( pendack @ index ) @ leq ) ) )
& ! [C: $i] :
( ( ( alive @ ( C @ setIn ) )
& ( ( ( C @ host @ ( status @ index ) )
= elec_2 )
| ( ( C @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( C @ host @ ( elid @ index ) )
= C ) )
& ! [C: $i,D: $i] :
( ( ( ( D @ host )
= ( C @ host ) )
& ( D != C ) )
=> ( ~ ( alive @ ( D @ setIn ) )
| ~ ( alive @ ( C @ setIn ) ) ) )
& ! [C: $i,D: $i] :
( ( C @ host @ queue @ ( D @ m_Down @ elem ) )
=> ( ( D @ host )
!= ( C @ host ) ) )
& ! [C: $i,D: $i] :
( ( C @ host @ queue @ ( D @ m_Ldr @ elem ) )
=> ~ ( D @ host @ ( C @ host @ leq ) ) ) )
=> ( ( alive @ ( A @ setIn ) )
=> ( ( B @ host @ ( A @ host @ leq ) )
=> ( ( ( ( B @ host )
= ( A @ host @ ( pendack @ index ) ) )
& ( ( A @ host @ ( status @ index ) )
= elec_2 ) )
=> ( ( A @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
=> ( ~ ! [C: $i] : ( A @ host @ ( acks @ index ) @ ( C @ host @ setIn ) )
=> ! [C: $i] :
( ( ( A @ host )
= ( C @ host ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( A @ host )
!= ( F @ host ) )
=> ( ( ( ( F @ host @ ( status @ index ) )
= elec_1 )
& ( ( D @ host )
= ( F @ host @ s ) )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( F @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( F @ setIn ) )
& ! [G: $i] :
( ( ( G @ ( zero @ s @ leq ) )
& ~ ( G @ ( F @ host @ leq ) ) )
=> ( ( G
= ( E @ host ) )
| ( F @ host @ ( down @ index ) @ ( G @ setIn ) ) ) ) )
=> ~ ( ( ( A @ host )
= ( C @ host ) )
& ( alive @ ( C @ setIn ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ( ( ( ( sk2 @ host @ queue )
= ( sk1 @ ( A @ m_Down @ cons ) ) )
& ( ? [B: $i,C: $i,D: $i] :
( ( ( D @ host @ ( status @ index ) )
= elec_1 )
& ( ( B @ host )
= ( D @ host @ s ) )
& ( D @ host @ queue @ ( B @ m_Down @ elem ) )
& ( D @ host @ queue @ ( C @ m_Down @ elem ) )
& ( D @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( D @ setIn ) )
& ! [E: $i] :
( ( ( E @ ( zero @ s @ leq ) )
& ~ ( E @ ( D @ host @ leq ) ) )
=> ( ( E
= ( C @ host ) )
| ( D @ host @ ( down @ index ) @ ( E @ setIn ) ) ) ) )
=> ~ ? [B: $i] :
( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( B @ host ) )
& ( alive @ ( B @ setIn ) ) ) )
& ! [B: $i,C: $i] :
( ? [D: $i,E: $i] :
( ( ( E @ host @ ( status @ index ) )
= elec_1 )
& ( ( B @ host @ ( status @ index ) )
= elec_2 )
& ( ( C @ host )
= ( E @ host ) )
& ( E @ host @ queue @ ( D @ m_Down @ elem ) )
& ( E @ host @ ( B @ host @ leq ) )
& ( alive @ ( B @ setIn ) )
& ! [F: $i] :
( ( ( F @ ( zero @ s @ leq ) )
& ~ ( F @ ( E @ host @ leq ) ) )
=> ( ( F
= ( D @ host ) )
| ( E @ host @ ( down @ index ) @ ( F @ setIn ) ) ) ) )
=> ~ ( B @ host @ queue @ ( C @ ( B @ m_Ack ) @ elem ) ) )
& ! [B: $i,C: $i] :
( ? [D: $i] :
( ( ( D @ host @ ( elid @ index ) @ host )
= ( C @ host ) )
& ( ( D @ host @ ( status @ index ) )
= wait )
& ( ( C @ host )
= ( B @ host ) )
& ( D @ host @ queue @ ( B @ m_Down @ elem ) )
& ( alive @ ( D @ setIn ) )
& ( ( D @ host )
!= ( C @ host ) ) )
=> ~ ( ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( ( C @ host @ ( status @ index ) )
= norm )
& ( alive @ ( C @ setIn ) ) ) )
& ! [B: $i,C: $i] :
( ? [D: $i] :
( ( ( D @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( C @ host )
= ( B @ host ) )
& ( D @ host @ queue @ ( B @ m_Down @ elem ) )
& ( alive @ ( D @ setIn ) )
& ( ( D @ host )
!= ( C @ host ) ) )
=> ~ ( ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( ( C @ host @ ( status @ index ) )
= norm )
& ( alive @ ( C @ setIn ) ) ) )
& ! [B: $i,C: $i,D: $i,E: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( ( C @ host )
= ( B @ host ) )
& ( alive @ ( D @ setIn ) )
& ( alive @ ( B @ setIn ) )
& ( ( D @ host )
!= ( B @ host ) ) )
=> ~ ( ( D @ host @ ( down @ index ) @ ( C @ host @ setIn ) )
& ( B @ host @ queue @ ( E @ m_Down @ elem ) ) ) )
& ! [B: $i,C: $i,D: $i,E: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( ( C @ host )
= ( B @ host ) )
& ( alive @ ( D @ setIn ) )
& ( alive @ ( B @ setIn ) )
& ( ( D @ host )
!= ( B @ host ) ) )
=> ~ ( ( D @ host @ queue @ ( C @ m_Down @ elem ) )
& ( B @ host @ queue @ ( E @ m_Down @ elem ) ) ) )
& ! [B: $i] :
( ? [C: $i,D: $i] :
( ( ( C @ host )
= ( B @ host ) )
& ( D @ host @ queue @ ( C @ m_Down @ elem ) )
& ( alive @ ( D @ setIn ) )
& ~ ( D @ host @ ( C @ host @ leq ) ) )
=> ~ ( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( B @ host ) )
& ( alive @ ( B @ setIn ) ) ) )
& ! [B: $i,C: $i] :
( ( ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( B @ host ) )
& ( alive @ ( C @ setIn ) )
& ( alive @ ( B @ setIn ) ) )
=> ( C = B ) )
& ! [B: $i,C: $i] :
( ? [D: $i] :
( ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( C @ host )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) )
=> ~ ( ( B @ host @ queue @ ( C @ m_Down @ elem ) )
& ( alive @ ( B @ setIn ) ) ) )
& ! [B: $i,C: $i,D: $i] :
( ( ( ( D @ host @ ( status @ index ) )
= elec_2 )
& ( ( D @ host )
= ( C @ host ) )
& ( B @ host @ queue @ ( C @ m_Down @ elem ) )
& ( alive @ ( D @ setIn ) )
& ( alive @ ( B @ setIn ) ) )
=> ( B @ host @ ( D @ host @ ( pendack @ index ) @ leq ) ) )
& ! [B: $i,C: $i] :
( ( ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( ( C @ host @ ( status @ index ) )
= norm )
& ( alive @ ( C @ setIn ) ) )
=> ~ ( ( B @ host @ ( down @ index ) @ ( C @ host @ setIn ) )
& ( alive @ ( B @ setIn ) ) ) )
& ! [B: $i,C: $i] :
( ( ( ( C @ host @ ( status @ index ) )
= elec_2 )
& ( B @ host @ ( down @ index ) @ ( C @ host @ setIn ) )
& ( alive @ ( C @ setIn ) )
& ( alive @ ( B @ setIn ) ) )
=> ( B @ host @ ( C @ host @ ( pendack @ index ) @ leq ) ) )
& ! [B: $i] :
( ( ( alive @ ( B @ setIn ) )
& ( ( ( B @ host @ ( status @ index ) )
= elec_2 )
| ( ( B @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( B @ host @ ( elid @ index ) )
= B ) )
& ! [B: $i,C: $i] :
( ( ( ( C @ host )
= ( B @ host ) )
& ( C != B ) )
=> ( ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( B @ setIn ) ) ) )
& ! [B: $i,C: $i] :
( ( B @ host @ queue @ ( C @ m_Down @ elem ) )
=> ( ( C @ host )
!= ( B @ host ) ) )
& ! [B: $i,C: $i] :
( ( B @ host @ queue @ ( C @ m_Ldr @ elem ) )
=> ~ ( C @ host @ ( B @ host @ leq ) ) ) )
=> ( ( alive @ ( sk2 @ setIn ) )
=> ( ( A @ host @ ( sk2 @ host @ leq ) )
=> ( ( ( ( A @ host )
= ( sk2 @ host @ ( pendack @ index ) ) )
& ( ( sk2 @ host @ ( status @ index ) )
= elec_2 ) )
=> ( ( sk2 @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
=> ( ~ ! [B: $i] : ( sk2 @ host @ ( acks @ index ) @ ( B @ host @ setIn ) )
=> ! [B: $i] :
( ( ( sk2 @ host )
= ( B @ host ) )
=> ! [C: $i,D: $i,E: $i] :
( ( ( sk2 @ host )
!= ( E @ host ) )
=> ( ( ( ( E @ host @ ( status @ index ) )
= elec_1 )
& ( ( C @ host )
= ( E @ host @ s ) )
& ( E @ host @ queue @ ( D @ m_Down @ elem ) )
& ( E @ host @ queue @ ( C @ m_Down @ elem ) )
& ( E @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( E @ setIn ) )
& ! [F: $i] :
( ( ( F @ ( zero @ s @ leq ) )
& ~ ( F @ ( E @ host @ leq ) ) )
=> ( ( F
= ( D @ host ) )
| ( E @ host @ ( down @ index ) @ ( F @ setIn ) ) ) ) )
=> ~ ( ( ( sk2 @ host )
= ( B @ host ) )
& ( alive @ ( B @ setIn ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( ^ [A: $i,B: $i,C: $i,D: $i] :
@+[E: $i] :
~ ( ( ( E @ ( zero @ s @ leq ) )
& ~ ( E @ ( A @ host @ leq ) ) )
=> ( ( E
= ( B @ host ) )
| ( A @ host @ ( down @ index ) @ ( E @ setIn ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
~ ( ( ( D @ ( zero @ s @ leq ) )
& ~ ( D @ ( A @ host @ leq ) ) )
=> ( ( D
= ( B @ host ) )
| ( A @ host @ ( down @ index ) @ ( D @ setIn ) ) ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: $i] :
~ ( sk2 @ host @ ( acks @ index ) @ ( A @ host @ setIn ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
~ ( ( ( sk2 @ host )
= ( A @ host ) )
=> ! [B: $i,C: $i,D: $i] :
( ( ( sk2 @ host )
!= ( D @ host ) )
=> ( ( ( ( D @ host @ ( status @ index ) )
= elec_1 )
& ( ( B @ host )
= ( D @ host @ s ) )
& ( D @ host @ queue @ ( C @ m_Down @ elem ) )
& ( D @ host @ queue @ ( B @ m_Down @ elem ) )
& ( D @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( D @ setIn ) )
& ! [E: $i] :
( ( ( E @ ( zero @ s @ leq ) )
& ~ ( E @ ( D @ host @ leq ) ) )
=> ( ( E
= ( C @ host ) )
| ( D @ host @ ( down @ index ) @ ( E @ setIn ) ) ) ) )
=> ~ ( ( ( sk2 @ host )
= ( A @ host ) )
& ( alive @ ( A @ setIn ) ) ) ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( ( sk2 @ host )
!= ( C @ host ) )
=> ( ( ( ( C @ host @ ( status @ index ) )
= elec_1 )
& ( ( A @ host )
= ( C @ host @ s ) )
& ( C @ host @ queue @ ( B @ m_Down @ elem ) )
& ( C @ host @ queue @ ( A @ m_Down @ elem ) )
& ( C @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( C @ setIn ) )
& ! [D: $i] :
( ( ( D @ ( zero @ s @ leq ) )
& ~ ( D @ ( C @ host @ leq ) ) )
=> ( ( D
= ( B @ host ) )
| ( C @ host @ ( down @ index ) @ ( D @ setIn ) ) ) ) )
=> ~ ( ( ( sk2 @ host )
= ( sk7 @ host ) )
& ( alive @ ( sk7 @ setIn ) ) ) ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( @+[A: $i] :
~ ! [B: $i] :
( ( ( sk2 @ host )
!= ( B @ host ) )
=> ( ( ( ( B @ host @ ( status @ index ) )
= elec_1 )
& ( ( sk8 @ host )
= ( B @ host @ s ) )
& ( B @ host @ queue @ ( A @ m_Down @ elem ) )
& ( B @ host @ queue @ ( sk8 @ m_Down @ elem ) )
& ( B @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( B @ setIn ) )
& ! [C: $i] :
( ( ( C @ ( zero @ s @ leq ) )
& ~ ( C @ ( B @ host @ leq ) ) )
=> ( ( C
= ( A @ host ) )
| ( B @ host @ ( down @ index ) @ ( C @ setIn ) ) ) ) )
=> ~ ( ( ( sk2 @ host )
= ( sk7 @ host ) )
& ( alive @ ( sk7 @ setIn ) ) ) ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
~ ( ( ( sk2 @ host )
!= ( A @ host ) )
=> ( ( ( ( A @ host @ ( status @ index ) )
= elec_1 )
& ( ( sk8 @ host )
= ( A @ host @ s ) )
& ( A @ host @ queue @ ( sk9 @ m_Down @ elem ) )
& ( A @ host @ queue @ ( sk8 @ m_Down @ elem ) )
& ( A @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( A @ setIn ) )
& ! [B: $i] :
( ( ( B @ ( zero @ s @ leq ) )
& ~ ( B @ ( A @ host @ leq ) ) )
=> ( ( B
= ( sk9 @ host ) )
| ( A @ host @ ( down @ index ) @ ( B @ setIn ) ) ) ) )
=> ~ ( ( ( sk2 @ host )
= ( sk7 @ host ) )
& ( alive @ ( sk7 @ setIn ) ) ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_NotNorm @ A )
= B ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_NormQ @ A )
= B ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_Halt @ A )
= B ) ) ) ).
thf(sk16_def,definition,
( sk16
= ( ^ [A: $i] :
@+[B: $i] :
( A
= ( B @ m_Halt ) ) ) ) ).
thf(sk17_def,definition,
( sk17
= ( ^ [A: $i] :
@+[B: $i] :
( A
= ( B @ m_Down ) ) ) ) ).
thf(sk18_def,definition,
( sk18
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_Down @ A )
= B ) ) ) ).
thf(sk21_def,definition,
( sk21
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_Ldr @ A )
= B ) ) ) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( C @ host @ queue )
= ( A @ ( D @ m_Down @ cons ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( H @ host @ ( status @ index ) )
= elec_1 )
& ( ( F @ host )
= ( H @ host @ s ) )
& ( H @ host @ queue @ ( F @ m_Down @ elem ) )
& ( H @ host @ queue @ ( G @ m_Down @ elem ) )
& ( H @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( H @ setIn ) )
& ! [I: $i] :
( ( ( I @ ( zero @ s @ leq ) )
& ~ ( I @ ( H @ host @ leq ) ) )
=> ( ( I
= ( G @ host ) )
| ( H @ host @ ( down @ index ) @ ( I @ setIn ) ) ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( H @ host @ ( status @ index ) )
= elec_1 )
& ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( ( F @ host )
= ( H @ host ) )
& ( H @ host @ queue @ ( G @ m_Down @ elem ) )
& ( H @ host @ ( E @ host @ leq ) )
& ( alive @ ( E @ setIn ) )
& ! [I: $i] :
( ( ( I @ ( zero @ s @ leq ) )
& ~ ( I @ ( H @ host @ leq ) ) )
=> ( ( I
= ( G @ host ) )
| ( H @ host @ ( down @ index ) @ ( I @ setIn ) ) ) ) )
=> ~ ( E @ host @ queue @ ( F @ ( E @ m_Ack ) @ elem ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( elid @ index ) @ host )
= ( F @ host ) )
& ( ( G @ host @ ( status @ index ) )
= wait )
& ( ( F @ host )
= ( E @ host ) )
& ( G @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) )
& ( ( G @ host )
!= ( F @ host ) ) )
=> ~ ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( alive @ ( F @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( G @ host @ ( status @ index ) )
= norm )
& ( ( F @ host )
= ( E @ host ) )
& ( G @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) )
& ( ( G @ host )
!= ( F @ host ) ) )
=> ~ ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( alive @ ( F @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( H @ host )
= ( G @ host ) )
& ( ( F @ host )
= ( E @ host ) )
& ( alive @ ( G @ setIn ) )
& ( alive @ ( E @ setIn ) )
& ( ( G @ host )
!= ( E @ host ) ) )
=> ~ ( ( G @ host @ ( down @ index ) @ ( F @ host @ setIn ) )
& ( E @ host @ queue @ ( H @ m_Down @ elem ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( H @ host )
= ( G @ host ) )
& ( ( F @ host )
= ( E @ host ) )
& ( alive @ ( G @ setIn ) )
& ( alive @ ( E @ setIn ) )
& ( ( G @ host )
!= ( E @ host ) ) )
=> ~ ( ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( E @ host @ queue @ ( H @ m_Down @ elem ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( F @ host )
= ( E @ host ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) )
& ~ ( G @ host @ ( F @ host @ leq ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( F = E ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( ldr @ index ) )
= ( G @ host ) )
& ( ( G @ host @ ( status @ index ) )
= norm )
& ( ( F @ host )
= ( G @ host ) )
& ( alive @ ( G @ setIn ) ) )
=> ~ ( ( E @ host @ queue @ ( F @ m_Down @ elem ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( status @ index ) )
= elec_2 )
& ( ( G @ host )
= ( F @ host ) )
& ( E @ host @ queue @ ( F @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( E @ host @ ( G @ host @ ( pendack @ index ) @ leq ) ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( alive @ ( F @ setIn ) ) )
=> ~ ( ( E @ host @ ( down @ index ) @ ( F @ host @ setIn ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host @ ( status @ index ) )
= elec_2 )
& ( E @ host @ ( down @ index ) @ ( F @ host @ setIn ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( E @ host @ ( F @ host @ ( pendack @ index ) @ leq ) ) )
& ! [E: $i] :
( ( ( alive @ ( E @ setIn ) )
& ( ( ( E @ host @ ( status @ index ) )
= elec_2 )
| ( ( E @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( E @ host @ ( elid @ index ) )
= E ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host )
= ( E @ host ) )
& ( F != E ) )
=> ( ~ ( alive @ ( F @ setIn ) )
| ~ ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( E @ host @ queue @ ( F @ m_Down @ elem ) )
=> ( ( F @ host )
!= ( E @ host ) ) )
& ! [E: $i,F: $i] :
( ( E @ host @ queue @ ( F @ m_Ldr @ elem ) )
=> ~ ( F @ host @ ( E @ host @ leq ) ) ) )
=> ( ( alive @ ( C @ setIn ) )
=> ( ( D @ host @ ( C @ host @ leq ) )
=> ( ( ( ( D @ host )
= ( C @ host @ ( pendack @ index ) ) )
& ( ( C @ host @ ( status @ index ) )
= elec_2 ) )
=> ( ( C @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
=> ! [E: $i] :
( ~ ( C @ host @ ( acks @ index ) @ ( E @ host @ setIn ) )
=> ! [F: $i] :
( ( ( C @ host )
= ( F @ host ) )
=> ! [G: $i,H: $i,I: $i] :
( ( ( C @ host )
!= ( I @ host ) )
=> ( ( ( ( I @ host @ ( status @ index ) )
= elec_1 )
& ( ( G @ host )
= ( I @ host @ s ) )
& ( I @ host @ queue @ ( H @ m_Down @ elem ) )
& ( I @ host @ queue @ ( G @ m_Down @ elem ) )
& ( I @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( I @ setIn ) )
& ! [J: $i] :
( ( ( J @ ( zero @ s @ leq ) )
& ~ ( J @ ( I @ host @ leq ) ) )
=> ( ( J
= ( H @ host ) )
| ( I @ host @ ( down @ index ) @ ( J @ setIn ) ) ) ) )
=> ~ ( ( ( C @ host )
= ( F @ host ) )
& ( alive @ ( F @ setIn ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( C @ host @ queue )
= ( A @ ( D @ m_Down @ cons ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( H @ host @ ( status @ index ) )
= elec_1 )
& ( ( F @ host )
= ( H @ host @ s ) )
& ( H @ host @ queue @ ( F @ m_Down @ elem ) )
& ( H @ host @ queue @ ( G @ m_Down @ elem ) )
& ( H @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( H @ setIn ) )
& ! [I: $i] :
( ( ( I @ ( zero @ s @ leq ) )
& ~ ( I @ ( H @ host @ leq ) ) )
=> ( ( I
= ( G @ host ) )
| ( H @ host @ ( down @ index ) @ ( I @ setIn ) ) ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( H @ host @ ( status @ index ) )
= elec_1 )
& ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( ( F @ host )
= ( H @ host ) )
& ( H @ host @ queue @ ( G @ m_Down @ elem ) )
& ( H @ host @ ( E @ host @ leq ) )
& ( alive @ ( E @ setIn ) )
& ! [I: $i] :
( ( ( I @ ( zero @ s @ leq ) )
& ~ ( I @ ( H @ host @ leq ) ) )
=> ( ( I
= ( G @ host ) )
| ( H @ host @ ( down @ index ) @ ( I @ setIn ) ) ) ) )
=> ~ ( E @ host @ queue @ ( F @ ( E @ m_Ack ) @ elem ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( elid @ index ) @ host )
= ( F @ host ) )
& ( ( G @ host @ ( status @ index ) )
= wait )
& ( ( F @ host )
= ( E @ host ) )
& ( G @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) )
& ( ( G @ host )
!= ( F @ host ) ) )
=> ~ ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( alive @ ( F @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( G @ host @ ( status @ index ) )
= norm )
& ( ( F @ host )
= ( E @ host ) )
& ( G @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) )
& ( ( G @ host )
!= ( F @ host ) ) )
=> ~ ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( alive @ ( F @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( H @ host )
= ( G @ host ) )
& ( ( F @ host )
= ( E @ host ) )
& ( alive @ ( G @ setIn ) )
& ( alive @ ( E @ setIn ) )
& ( ( G @ host )
!= ( E @ host ) ) )
=> ~ ( ( G @ host @ ( down @ index ) @ ( F @ host @ setIn ) )
& ( E @ host @ queue @ ( H @ m_Down @ elem ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( H @ host )
= ( G @ host ) )
& ( ( F @ host )
= ( E @ host ) )
& ( alive @ ( G @ setIn ) )
& ( alive @ ( E @ setIn ) )
& ( ( G @ host )
!= ( E @ host ) ) )
=> ~ ( ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( E @ host @ queue @ ( H @ m_Down @ elem ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( F @ host )
= ( E @ host ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) )
& ~ ( G @ host @ ( F @ host @ leq ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( F = E ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( ldr @ index ) )
= ( G @ host ) )
& ( ( G @ host @ ( status @ index ) )
= norm )
& ( ( F @ host )
= ( G @ host ) )
& ( alive @ ( G @ setIn ) ) )
=> ~ ( ( E @ host @ queue @ ( F @ m_Down @ elem ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( status @ index ) )
= elec_2 )
& ( ( G @ host )
= ( F @ host ) )
& ( E @ host @ queue @ ( F @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( E @ host @ ( G @ host @ ( pendack @ index ) @ leq ) ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( alive @ ( F @ setIn ) ) )
=> ~ ( ( E @ host @ ( down @ index ) @ ( F @ host @ setIn ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host @ ( status @ index ) )
= elec_2 )
& ( E @ host @ ( down @ index ) @ ( F @ host @ setIn ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( E @ host @ ( F @ host @ ( pendack @ index ) @ leq ) ) )
& ! [E: $i] :
( ( ( alive @ ( E @ setIn ) )
& ( ( ( E @ host @ ( status @ index ) )
= elec_2 )
| ( ( E @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( E @ host @ ( elid @ index ) )
= E ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host )
= ( E @ host ) )
& ( F != E ) )
=> ( ~ ( alive @ ( F @ setIn ) )
| ~ ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( E @ host @ queue @ ( F @ m_Down @ elem ) )
=> ( ( F @ host )
!= ( E @ host ) ) )
& ! [E: $i,F: $i] :
( ( E @ host @ queue @ ( F @ m_Ldr @ elem ) )
=> ~ ( F @ host @ ( E @ host @ leq ) ) ) )
=> ( ( alive @ ( C @ setIn ) )
=> ( ( D @ host @ ( C @ host @ leq ) )
=> ( ( ( ( D @ host )
= ( C @ host @ ( pendack @ index ) ) )
& ( ( C @ host @ ( status @ index ) )
= elec_2 ) )
=> ( ( C @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
=> ! [E: $i] :
( ~ ( C @ host @ ( acks @ index ) @ ( E @ host @ setIn ) )
=> ! [F: $i] :
( ( ( C @ host )
= ( F @ host ) )
=> ! [G: $i,H: $i,I: $i] :
( ( ( C @ host )
!= ( I @ host ) )
=> ( ( ( ( I @ host @ ( status @ index ) )
= elec_1 )
& ( ( G @ host )
= ( I @ host @ s ) )
& ( I @ host @ queue @ ( H @ m_Down @ elem ) )
& ( I @ host @ queue @ ( G @ m_Down @ elem ) )
& ( I @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( I @ setIn ) )
& ! [J: $i] :
( ( ( J @ ( zero @ s @ leq ) )
& ~ ( J @ ( I @ host @ leq ) ) )
=> ( ( J
= ( H @ host ) )
| ( I @ host @ ( down @ index ) @ ( J @ setIn ) ) ) ) )
=> ~ ( ( ( C @ host )
= ( F @ host ) )
& ( alive @ ( F @ setIn ) ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(69,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ( ( B @ host @ queue )
= ( A @ ( C @ m_Down @ cons ) ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( status @ index ) )
= elec_1 )
& ( ( E @ host )
= ( G @ host @ s ) )
& ( G @ host @ queue @ ( E @ m_Down @ elem ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( G @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( G @ setIn ) )
& ! [H: $i] :
( ( ( H @ ( zero @ s @ leq ) )
& ~ ( H @ ( G @ host @ leq ) ) )
=> ( ( H
= ( F @ host ) )
| ( G @ host @ ( down @ index ) @ ( H @ setIn ) ) ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( status @ index ) )
= elec_1 )
& ( ( D @ host @ ( status @ index ) )
= elec_2 )
& ( ( E @ host )
= ( G @ host ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( G @ host @ ( D @ host @ leq ) )
& ( alive @ ( D @ setIn ) )
& ! [H: $i] :
( ( ( H @ ( zero @ s @ leq ) )
& ~ ( H @ ( G @ host @ leq ) ) )
=> ( ( H
= ( F @ host ) )
| ( G @ host @ ( down @ index ) @ ( H @ setIn ) ) ) ) )
=> ~ ( D @ host @ queue @ ( E @ ( D @ m_Ack ) @ elem ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( F @ host @ ( elid @ index ) @ host )
= ( E @ host ) )
& ( ( F @ host @ ( status @ index ) )
= wait )
& ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( ( F @ host )
!= ( E @ host ) ) )
=> ~ ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( F @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( ( F @ host )
!= ( E @ host ) ) )
=> ~ ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( ( G @ host )
= ( F @ host ) )
& ( ( E @ host )
= ( D @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) )
& ( ( F @ host )
!= ( D @ host ) ) )
=> ~ ( ( F @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( D @ host @ queue @ ( G @ m_Down @ elem ) ) ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( ( G @ host )
= ( F @ host ) )
& ( ( E @ host )
= ( D @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) )
& ( ( F @ host )
!= ( D @ host ) ) )
=> ~ ( ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( D @ host @ queue @ ( G @ m_Down @ elem ) ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ~ ( F @ host @ ( E @ host @ leq ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( E = D ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host )
= ( F @ host ) )
& ( alive @ ( F @ setIn ) ) )
=> ~ ( ( D @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( F @ host @ ( status @ index ) )
= elec_2 )
& ( ( F @ host )
= ( E @ host ) )
& ( D @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( D @ host @ ( F @ host @ ( pendack @ index ) @ leq ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) )
=> ~ ( ( D @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( D @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( D @ host @ ( E @ host @ ( pendack @ index ) @ leq ) ) )
& ! [D: $i] :
( ( ( alive @ ( D @ setIn ) )
& ( ( ( D @ host @ ( status @ index ) )
= elec_2 )
| ( ( D @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( D @ host @ ( elid @ index ) )
= D ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( E != D ) )
=> ( ~ ( alive @ ( E @ setIn ) )
| ~ ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Down @ elem ) )
=> ( ( E @ host )
!= ( D @ host ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Ldr @ elem ) )
=> ~ ( E @ host @ ( D @ host @ leq ) ) ) )
=> ( ( alive @ ( B @ setIn ) )
=> ( ( C @ host @ ( B @ host @ leq ) )
=> ( ( ( ( C @ host )
= ( B @ host @ ( pendack @ index ) ) )
& ( ( B @ host @ ( status @ index ) )
= elec_2 ) )
=> ( ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
=> ! [D: $i] :
( ~ ( B @ host @ ( acks @ index ) @ ( D @ host @ setIn ) )
=> ! [E: $i] :
( ( ( B @ host )
= ( E @ host ) )
=> ! [F: $i,G: $i,H: $i] :
( ( ( B @ host )
!= ( H @ host ) )
=> ( ( ( ( H @ host @ ( status @ index ) )
= elec_1 )
& ( ( F @ host )
= ( H @ host @ s ) )
& ( H @ host @ queue @ ( G @ m_Down @ elem ) )
& ( H @ host @ queue @ ( F @ m_Down @ elem ) )
& ( H @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( H @ setIn ) )
& ! [I: $i] :
( ( ( I @ ( zero @ s @ leq ) )
& ~ ( I @ ( H @ host @ leq ) ) )
=> ( ( I
= ( G @ host ) )
| ( H @ host @ ( down @ index ) @ ( I @ setIn ) ) ) ) )
=> ~ ( ( ( B @ host )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_Halt )
!= ( B @ m_Halt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(202,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_Halt )
!= ( B @ m_Halt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(203,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_Halt )
!= ( B @ m_Halt ) ) ) ),
inference(miniscope,[status(thm)],[202]) ).
thf(204,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_Halt )
= ( D @ m_Halt ) ) )
& ( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[203]) ).
thf(205,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[204]) ).
thf(207,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[205]) ).
thf(208,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_Halt @ A )
= B ),
inference(detectInverse,[status(thm)],[207]) ).
thf(209,plain,
! [A: $i] :
( ( A @ m_Halt @ sk13 )
= A ),
inference(cnf,[status(esa)],[208]) ).
thf(1718,plain,
! [A: $i] :
( ( A @ m_Halt @ sk13 )
= A ),
inference(lifteq,[status(thm)],[209]) ).
thf(70,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ( ( B @ host @ queue )
= ( A @ ( C @ m_Down @ cons ) ) )
& ( ? [D: $i,E: $i,F: $i] :
( ( ( F @ host @ ( status @ index ) )
= elec_1 )
& ( ( D @ host )
= ( F @ host @ s ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( F @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( F @ setIn ) )
& ! [G: $i] :
( ( ( G @ ( zero @ s @ leq ) )
& ~ ( G @ ( F @ host @ leq ) ) )
=> ( ( G
= ( E @ host ) )
| ( F @ host @ ( down @ index ) @ ( G @ setIn ) ) ) ) )
=> ~ ? [D: $i] :
( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ? [F: $i,G: $i] :
( ( ( G @ host @ ( status @ index ) )
= elec_1 )
& ( ( D @ host @ ( status @ index ) )
= elec_2 )
& ( ( E @ host )
= ( G @ host ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( G @ host @ ( D @ host @ leq ) )
& ( alive @ ( D @ setIn ) )
& ! [H: $i] :
( ( ( H @ ( zero @ s @ leq ) )
& ~ ( H @ ( G @ host @ leq ) ) )
=> ( ( H
= ( F @ host ) )
| ( G @ host @ ( down @ index ) @ ( H @ setIn ) ) ) ) )
=> ~ ( D @ host @ queue @ ( E @ ( D @ m_Ack ) @ elem ) ) )
& ! [D: $i,E: $i] :
( ? [F: $i] :
( ( ( F @ host @ ( elid @ index ) @ host )
= ( E @ host ) )
& ( ( F @ host @ ( status @ index ) )
= wait )
& ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( ( F @ host )
!= ( E @ host ) ) )
=> ~ ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ? [F: $i] :
( ( ( F @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( ( F @ host )
!= ( E @ host ) ) )
=> ~ ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( ( G @ host )
= ( F @ host ) )
& ( ( E @ host )
= ( D @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) )
& ( ( F @ host )
!= ( D @ host ) ) )
=> ~ ( ( F @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( D @ host @ queue @ ( G @ m_Down @ elem ) ) ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( ( G @ host )
= ( F @ host ) )
& ( ( E @ host )
= ( D @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) )
& ( ( F @ host )
!= ( D @ host ) ) )
=> ~ ( ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( D @ host @ queue @ ( G @ m_Down @ elem ) ) ) )
& ! [D: $i] :
( ? [E: $i,F: $i] :
( ( ( E @ host )
= ( D @ host ) )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ~ ( F @ host @ ( E @ host @ leq ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( E = D ) )
& ! [D: $i,E: $i] :
( ? [F: $i] :
( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host )
= ( F @ host ) )
& ( alive @ ( F @ setIn ) ) )
=> ~ ( ( D @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( F @ host @ ( status @ index ) )
= elec_2 )
& ( ( F @ host )
= ( E @ host ) )
& ( D @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( D @ host @ ( F @ host @ ( pendack @ index ) @ leq ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( alive @ ( E @ setIn ) ) )
=> ~ ( ( D @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( D @ host @ ( down @ index ) @ ( E @ host @ setIn ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( D @ host @ ( E @ host @ ( pendack @ index ) @ leq ) ) )
& ! [D: $i] :
( ( ( alive @ ( D @ setIn ) )
& ( ( ( D @ host @ ( status @ index ) )
= elec_2 )
| ( ( D @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( D @ host @ ( elid @ index ) )
= D ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( E != D ) )
=> ( ~ ( alive @ ( E @ setIn ) )
| ~ ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Down @ elem ) )
=> ( ( E @ host )
!= ( D @ host ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Ldr @ elem ) )
=> ~ ( E @ host @ ( D @ host @ leq ) ) ) )
=> ( ( alive @ ( B @ setIn ) )
=> ( ( C @ host @ ( B @ host @ leq ) )
=> ( ( ( ( C @ host )
= ( B @ host @ ( pendack @ index ) ) )
& ( ( B @ host @ ( status @ index ) )
= elec_2 ) )
=> ( ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
=> ( ~ ! [D: $i] : ( B @ host @ ( acks @ index ) @ ( D @ host @ setIn ) )
=> ! [D: $i] :
( ( ( B @ host )
= ( D @ host ) )
=> ! [E: $i,F: $i,G: $i] :
( ( ( B @ host )
!= ( G @ host ) )
=> ( ( ( ( G @ host @ ( status @ index ) )
= elec_1 )
& ( ( E @ host )
= ( G @ host @ s ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( G @ host @ queue @ ( E @ m_Down @ elem ) )
& ( G @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( G @ setIn ) )
& ! [H: $i] :
( ( ( H @ ( zero @ s @ leq ) )
& ~ ( H @ ( G @ host @ leq ) ) )
=> ( ( H
= ( F @ host ) )
| ( G @ host @ ( down @ index ) @ ( H @ setIn ) ) ) ) )
=> ~ ( ( ( B @ host )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) ) ) ) ) ) ) ) ) ),
inference(miniscope,[status(thm)],[69]) ).
thf(71,plain,
! [ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( sk2 @ host )
= ( sk7 @ host ) )
& ( alive @ ( sk7 @ setIn ) )
& ( ( sk10 @ host @ ( status @ index ) )
= elec_1 )
& ( ( sk8 @ host )
= ( sk10 @ host @ s ) )
& ( sk10 @ host @ queue @ ( sk9 @ m_Down @ elem ) )
& ( sk10 @ host @ queue @ ( sk8 @ m_Down @ elem ) )
& ( sk10 @ host @ s @ ( nbr_proc @ leq ) )
& ( alive @ ( sk10 @ setIn ) )
& ( ( ZS
= ( sk9 @ host ) )
| ( sk10 @ host @ ( down @ index ) @ ( ZS @ setIn ) )
| ~ ( ZS @ ( zero @ s @ leq ) )
| ( ZS @ ( sk10 @ host @ leq ) ) )
& ( ( sk2 @ host )
!= ( sk10 @ host ) )
& ( ( sk2 @ host )
= ( sk7 @ host ) )
& ~ ( sk2 @ host @ ( acks @ index ) @ ( sk6 @ host @ setIn ) )
& ( sk2 @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( ( sk3 @ host )
= ( sk2 @ host @ ( pendack @ index ) ) )
& ( ( sk2 @ host @ ( status @ index ) )
= elec_2 )
& ( sk3 @ host @ ( sk2 @ host @ leq ) )
& ( alive @ ( sk2 @ setIn ) )
& ( ( sk2 @ host @ queue )
= ( sk1 @ ( sk3 @ m_Down @ cons ) ) )
& ( ( ( ZR @ host @ ( status @ index ) )
!= norm )
| ( ( ZR @ host @ ( ldr @ index ) )
!= ( ZR @ host ) )
| ~ ( alive @ ( ZR @ setIn ) )
| ( ( ZQ @ host @ ( status @ index ) )
!= elec_1 )
| ( ( ZO @ host )
!= ( ZQ @ host @ s ) )
| ~ ( ZQ @ host @ queue @ ( ZO @ m_Down @ elem ) )
| ~ ( ZQ @ host @ queue @ ( ZP @ m_Down @ elem ) )
| ~ ( ZQ @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( ZQ @ setIn ) )
| ( ( ZO @ ( ZP @ ( ZQ @ sk5 ) ) )
!= ( ZP @ host ) ) )
& ( ( ( ZR @ host @ ( status @ index ) )
!= norm )
| ( ( ZR @ host @ ( ldr @ index ) )
!= ( ZR @ host ) )
| ~ ( alive @ ( ZR @ setIn ) )
| ( ( ZQ @ host @ ( status @ index ) )
!= elec_1 )
| ( ( ZO @ host )
!= ( ZQ @ host @ s ) )
| ~ ( ZQ @ host @ queue @ ( ZO @ m_Down @ elem ) )
| ~ ( ZQ @ host @ queue @ ( ZP @ m_Down @ elem ) )
| ~ ( ZQ @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( ZQ @ setIn ) )
| ~ ( ZQ @ host @ ( down @ index ) @ ( ZO @ ( ZP @ ( ZQ @ sk5 ) ) @ setIn ) ) )
& ( ( ( ZR @ host @ ( status @ index ) )
!= norm )
| ( ( ZR @ host @ ( ldr @ index ) )
!= ( ZR @ host ) )
| ~ ( alive @ ( ZR @ setIn ) )
| ( ( ZQ @ host @ ( status @ index ) )
!= elec_1 )
| ( ( ZO @ host )
!= ( ZQ @ host @ s ) )
| ~ ( ZQ @ host @ queue @ ( ZO @ m_Down @ elem ) )
| ~ ( ZQ @ host @ queue @ ( ZP @ m_Down @ elem ) )
| ~ ( ZQ @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( ZQ @ setIn ) )
| ( ZO @ ( ZP @ ( ZQ @ sk5 ) ) @ ( zero @ s @ leq ) ) )
& ( ( ( ZR @ host @ ( status @ index ) )
!= norm )
| ( ( ZR @ host @ ( ldr @ index ) )
!= ( ZR @ host ) )
| ~ ( alive @ ( ZR @ setIn ) )
| ( ( ZQ @ host @ ( status @ index ) )
!= elec_1 )
| ( ( ZO @ host )
!= ( ZQ @ host @ s ) )
| ~ ( ZQ @ host @ queue @ ( ZO @ m_Down @ elem ) )
| ~ ( ZQ @ host @ queue @ ( ZP @ m_Down @ elem ) )
| ~ ( ZQ @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( ZQ @ setIn ) )
| ~ ( ZO @ ( ZP @ ( ZQ @ sk5 ) ) @ ( ZQ @ host @ leq ) ) )
& ( ~ ( ZK @ host @ queue @ ( ZL @ ( ZK @ m_Ack ) @ elem ) )
| ( ( ZN @ host @ ( status @ index ) )
!= elec_1 )
| ( ( ZK @ host @ ( status @ index ) )
!= elec_2 )
| ( ( ZL @ host )
!= ( ZN @ host ) )
| ~ ( ZN @ host @ queue @ ( ZM @ m_Down @ elem ) )
| ~ ( ZN @ host @ ( ZK @ host @ leq ) )
| ~ ( alive @ ( ZK @ setIn ) )
| ( ( ZK @ ( ZL @ ( ZM @ ( ZN @ sk4 ) ) ) )
!= ( ZM @ host ) ) )
& ( ~ ( ZK @ host @ queue @ ( ZL @ ( ZK @ m_Ack ) @ elem ) )
| ( ( ZN @ host @ ( status @ index ) )
!= elec_1 )
| ( ( ZK @ host @ ( status @ index ) )
!= elec_2 )
| ( ( ZL @ host )
!= ( ZN @ host ) )
| ~ ( ZN @ host @ queue @ ( ZM @ m_Down @ elem ) )
| ~ ( ZN @ host @ ( ZK @ host @ leq ) )
| ~ ( alive @ ( ZK @ setIn ) )
| ~ ( ZN @ host @ ( down @ index ) @ ( ZK @ ( ZL @ ( ZM @ ( ZN @ sk4 ) ) ) @ setIn ) ) )
& ( ~ ( ZK @ host @ queue @ ( ZL @ ( ZK @ m_Ack ) @ elem ) )
| ( ( ZN @ host @ ( status @ index ) )
!= elec_1 )
| ( ( ZK @ host @ ( status @ index ) )
!= elec_2 )
| ( ( ZL @ host )
!= ( ZN @ host ) )
| ~ ( ZN @ host @ queue @ ( ZM @ m_Down @ elem ) )
| ~ ( ZN @ host @ ( ZK @ host @ leq ) )
| ~ ( alive @ ( ZK @ setIn ) )
| ( ZK @ ( ZL @ ( ZM @ ( ZN @ sk4 ) ) ) @ ( zero @ s @ leq ) ) )
& ( ~ ( ZK @ host @ queue @ ( ZL @ ( ZK @ m_Ack ) @ elem ) )
| ( ( ZN @ host @ ( status @ index ) )
!= elec_1 )
| ( ( ZK @ host @ ( status @ index ) )
!= elec_2 )
| ( ( ZL @ host )
!= ( ZN @ host ) )
| ~ ( ZN @ host @ queue @ ( ZM @ m_Down @ elem ) )
| ~ ( ZN @ host @ ( ZK @ host @ leq ) )
| ~ ( alive @ ( ZK @ setIn ) )
| ~ ( ZK @ ( ZL @ ( ZM @ ( ZN @ sk4 ) ) ) @ ( ZN @ host @ leq ) ) )
& ( ( ( ZI @ host @ ( ldr @ index ) )
!= ( ZI @ host ) )
| ( ( ZI @ host @ ( status @ index ) )
!= norm )
| ~ ( alive @ ( ZI @ setIn ) )
| ( ( ZJ @ host @ ( elid @ index ) @ host )
!= ( ZI @ host ) )
| ( ( ZJ @ host @ ( status @ index ) )
!= wait )
| ( ( ZI @ host )
!= ( ZH @ host ) )
| ~ ( ZJ @ host @ queue @ ( ZH @ m_Down @ elem ) )
| ~ ( alive @ ( ZJ @ setIn ) )
| ( ( ZJ @ host )
= ( ZI @ host ) ) )
& ( ( ( ZF @ host @ ( ldr @ index ) )
!= ( ZF @ host ) )
| ( ( ZF @ host @ ( status @ index ) )
!= norm )
| ~ ( alive @ ( ZF @ setIn ) )
| ( ( ZG @ host @ ( ldr @ index ) )
!= ( ZF @ host ) )
| ( ( ZG @ host @ ( status @ index ) )
!= norm )
| ( ( ZF @ host )
!= ( ZE @ host ) )
| ~ ( ZG @ host @ queue @ ( ZE @ m_Down @ elem ) )
| ~ ( alive @ ( ZG @ setIn ) )
| ( ( ZG @ host )
= ( ZF @ host ) ) )
& ( ~ ( ZC @ host @ ( down @ index ) @ ( ZB @ host @ setIn ) )
| ~ ( ZA @ host @ queue @ ( ZD @ m_Down @ elem ) )
| ( ( ZD @ host )
!= ( ZC @ host ) )
| ( ( ZB @ host )
!= ( ZA @ host ) )
| ~ ( alive @ ( ZC @ setIn ) )
| ~ ( alive @ ( ZA @ setIn ) )
| ( ( ZC @ host )
= ( ZA @ host ) ) )
& ( ~ ( Y @ host @ queue @ ( X @ m_Down @ elem ) )
| ~ ( W @ host @ queue @ ( Z @ m_Down @ elem ) )
| ( ( Z @ host )
!= ( Y @ host ) )
| ( ( X @ host )
!= ( W @ host ) )
| ~ ( alive @ ( Y @ setIn ) )
| ~ ( alive @ ( W @ setIn ) )
| ( ( Y @ host )
= ( W @ host ) ) )
& ( ( ( T @ host @ ( status @ index ) )
!= norm )
| ( ( T @ host @ ( ldr @ index ) )
!= ( T @ host ) )
| ~ ( alive @ ( T @ setIn ) )
| ( ( U @ host )
!= ( T @ host ) )
| ~ ( V @ host @ queue @ ( U @ m_Down @ elem ) )
| ~ ( alive @ ( V @ setIn ) )
| ( V @ host @ ( U @ host @ leq ) ) )
& ( ( S = R )
| ( ( S @ host @ ( ldr @ index ) )
!= ( S @ host ) )
| ( ( S @ host @ ( status @ index ) )
!= norm )
| ( ( R @ host @ ( status @ index ) )
!= norm )
| ( ( R @ host @ ( ldr @ index ) )
!= ( R @ host ) )
| ~ ( alive @ ( S @ setIn ) )
| ~ ( alive @ ( R @ setIn ) ) )
& ( ~ ( O @ host @ queue @ ( P @ m_Down @ elem ) )
| ~ ( alive @ ( O @ setIn ) )
| ( ( Q @ host @ ( ldr @ index ) )
!= ( Q @ host ) )
| ( ( Q @ host @ ( status @ index ) )
!= norm )
| ( ( P @ host )
!= ( Q @ host ) )
| ~ ( alive @ ( Q @ setIn ) ) )
& ( ( L @ host @ ( N @ host @ ( pendack @ index ) @ leq ) )
| ( ( N @ host @ ( status @ index ) )
!= elec_2 )
| ( ( N @ host )
!= ( M @ host ) )
| ~ ( L @ host @ queue @ ( M @ m_Down @ elem ) )
| ~ ( alive @ ( N @ setIn ) )
| ~ ( alive @ ( L @ setIn ) ) )
& ( ~ ( J @ host @ ( down @ index ) @ ( K @ host @ setIn ) )
| ~ ( alive @ ( J @ setIn ) )
| ( ( K @ host @ ( ldr @ index ) )
!= ( K @ host ) )
| ( ( K @ host @ ( status @ index ) )
!= norm )
| ~ ( alive @ ( K @ setIn ) ) )
& ( ( H @ host @ ( I @ host @ ( pendack @ index ) @ leq ) )
| ( ( I @ host @ ( status @ index ) )
!= elec_2 )
| ~ ( H @ host @ ( down @ index ) @ ( I @ host @ setIn ) )
| ~ ( alive @ ( I @ setIn ) )
| ~ ( alive @ ( H @ setIn ) ) )
& ( ( ( G @ host @ ( elid @ index ) )
= G )
| ~ ( alive @ ( G @ setIn ) )
| ( ( G @ host @ ( status @ index ) )
!= elec_2 ) )
& ( ( ( G @ host @ ( elid @ index ) )
= G )
| ~ ( alive @ ( G @ setIn ) )
| ( ( G @ host @ ( status @ index ) )
!= elec_1 ) )
& ( ~ ( alive @ ( F @ setIn ) )
| ~ ( alive @ ( E @ setIn ) )
| ( ( F @ host )
!= ( E @ host ) )
| ( F = E ) )
& ( ( ( D @ host )
!= ( C @ host ) )
| ~ ( C @ host @ queue @ ( D @ m_Down @ elem ) ) )
& ( ~ ( B @ host @ ( A @ host @ leq ) )
| ~ ( A @ host @ queue @ ( B @ m_Ldr @ elem ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(96,plain,
! [B: $i,A: $i] :
( ( B = A )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(137,plain,
! [B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( B = A )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) ) ),
inference(lifteq,[status(thm)],[96]) ).
thf(138,plain,
! [B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( B = A )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) ) ),
inference(simp,[status(thm)],[137]) ).
thf(68,axiom,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_Ldr ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(479,plain,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_Ldr ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(37,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
thf(331,plain,
elec_2 != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(332,plain,
elec_2 != wait,
inference(polarity_switch,[status(thm)],[331]) ).
thf(333,plain,
wait != elec_2,
inference(lifteq,[status(thm)],[332]) ).
thf(23,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
thf(247,plain,
elec_1 != norm,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(248,plain,
elec_1 != norm,
inference(polarity_switch,[status(thm)],[247]) ).
thf(249,plain,
norm != elec_1,
inference(lifteq,[status(thm)],[248]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ cons ) @ ( A @ elem ) )
<=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(279,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( A @ elem ) )
| ( A = B ) )
=> ( C @ ( B @ cons ) @ ( A @ elem ) ) )
& ( ( C @ ( B @ cons ) @ ( A @ elem ) )
=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(280,plain,
( ! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ elem ) )
| ( A = B ) )
=> ( C @ ( B @ cons ) @ ( A @ elem ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ cons ) @ ( A @ elem ) )
=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ) ),
inference(miniscope,[status(thm)],[279]) ).
thf(281,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ cons ) @ ( D @ elem ) )
| ~ ( F @ ( D @ elem ) ) )
& ( ( F @ ( E @ cons ) @ ( D @ elem ) )
| ( D != E ) )
& ( ( C @ ( A @ elem ) )
| ( A = B )
| ~ ( C @ ( B @ cons ) @ ( A @ elem ) ) ) ),
inference(cnf,[status(esa)],[280]) ).
thf(283,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ cons ) @ ( A @ elem ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[281]) ).
thf(286,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ cons ) @ ( A @ elem ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[283]) ).
thf(287,plain,
! [B: $i,A: $i] : ( B @ ( A @ cons ) @ ( A @ elem ) ),
inference(simp,[status(thm)],[286]) ).
thf(63,axiom,
! [A: $i] :
~ ( q_nil @ ( A @ elem ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(436,plain,
! [A: $i] :
~ ( q_nil @ ( A @ elem ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(437,plain,
~ ? [A: $i] : ( q_nil @ ( A @ elem ) ),
inference(miniscope,[status(thm)],[436]) ).
thf(438,plain,
! [A: $i] :
~ ( q_nil @ ( A @ elem ) ),
inference(cnf,[status(esa)],[437]) ).
thf(5377,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( q_nil @ ( C @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[287,438]) ).
thf(5378,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( q_nil @ ( C @ elem ) ) ),
inference(simp,[status(thm)],[5377]) ).
thf(5401,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ cons ) )
!= q_nil )
| ( A != C ) ),
inference(simp,[status(thm)],[5378]) ).
thf(5444,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ cons ) )
!= q_nil ),
inference(simp,[status(thm)],[5401]) ).
thf(54,axiom,
! [A: $i] :
( ( q_nil @ ( A @ cons ) )
= ( A @ ( q_nil @ snoc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
thf(406,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) )
= ( A @ ( q_nil @ snoc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(407,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) )
= ( A @ ( q_nil @ snoc ) ) ),
inference(cnf,[status(esa)],[406]) ).
thf(408,plain,
! [A: $i] :
( ( A @ ( q_nil @ snoc ) )
= ( q_nil @ ( A @ cons ) ) ),
inference(lifteq,[status(thm)],[407]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( A @ ordered )
=> ( B @ m_Ldr @ ( A @ snoc ) @ ordered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
thf(276,plain,
! [A: $i,B: $i] :
( ( A @ ordered )
=> ( B @ m_Ldr @ ( A @ snoc ) @ ordered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
thf(300,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) ) )
& ( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(301,plain,
( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) ) )
& ! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ) ),
inference(miniscope,[status(thm)],[300]) ).
thf(302,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( D @ leq ) )
| ( C != D ) )
& ( ( D @ ( C @ leq ) )
| ( C != D ) )
& ( ( A = B )
| ~ ( A @ ( B @ leq ) )
| ~ ( B @ ( A @ leq ) ) ) ),
inference(cnf,[status(esa)],[301]) ).
thf(304,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ leq ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[302]) ).
thf(307,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ leq ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[304]) ).
thf(308,plain,
! [A: $i] : ( A @ ( A @ leq ) ),
inference(simp,[status(thm)],[307]) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ snoc ) @ ( A @ elem ) )
<=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
thf(371,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( A @ elem ) )
| ( A = B ) )
=> ( B @ ( C @ snoc ) @ ( A @ elem ) ) )
& ( ( B @ ( C @ snoc ) @ ( A @ elem ) )
=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(372,plain,
( ! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ elem ) )
| ( A = B ) )
=> ( B @ ( C @ snoc ) @ ( A @ elem ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ snoc ) @ ( A @ elem ) )
=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ) ),
inference(miniscope,[status(thm)],[371]) ).
thf(373,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( F @ snoc ) @ ( D @ elem ) )
| ~ ( F @ ( D @ elem ) ) )
& ( ( E @ ( F @ snoc ) @ ( D @ elem ) )
| ( D != E ) )
& ( ( C @ ( A @ elem ) )
| ( A = B )
| ~ ( B @ ( C @ snoc ) @ ( A @ elem ) ) ) ),
inference(cnf,[status(esa)],[372]) ).
thf(375,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ snoc ) @ ( A @ elem ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[373]) ).
thf(378,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ snoc ) @ ( A @ elem ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[375]) ).
thf(379,plain,
! [B: $i,A: $i] : ( A @ ( B @ snoc ) @ ( A @ elem ) ),
inference(simp,[status(thm)],[378]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(269,plain,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(107,plain,
alive @ ( sk10 @ setIn ),
inference(cnfConj,[status(thm)],[71]) ).
thf(110,plain,
~ ( sk2 @ host @ ( acks @ index ) @ ( sk6 @ host @ setIn ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(518,plain,
( ( ( sk2 @ host @ ( acks @ index ) @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk10 @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[107,110]) ).
thf(519,plain,
( ( sk2 @ host @ ( acks @ index ) @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk10 @ setIn ) ) ),
inference(simp,[status(thm)],[518]) ).
thf(523,plain,
( ( ( sk2 @ host @ ( acks @ index ) )
!= alive )
| ( ( sk6 @ host )
!= sk10 ) ),
inference(simp,[status(thm)],[519]) ).
thf(89,plain,
sk2 @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ),
inference(cnfConj,[status(thm)],[71]) ).
thf(95,plain,
( ( sk3 @ host )
= ( sk2 @ host @ ( pendack @ index ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(114,plain,
( ( sk2 @ host @ ( pendack @ index ) )
= ( sk3 @ host ) ),
inference(lifteq,[status(thm)],[95]) ).
thf(582,plain,
sk3 @ host @ ( nbr_proc @ leq ),
inference(rewrite,[status(thm)],[89,114]) ).
thf(88,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( B @ host )
!= ( C @ host ) )
| ~ ( alive @ ( C @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(119,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( alive @ ( C @ setIn ) )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( B @ host )
!= ( C @ host ) ) ),
inference(lifteq,[status(thm)],[88]) ).
thf(120,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( alive @ ( C @ setIn ) )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( B @ host )
!= ( C @ host ) ) ),
inference(simp,[status(thm)],[119]) ).
thf(109,plain,
( ( sk2 @ host @ ( status @ index ) )
= elec_2 ),
inference(cnfConj,[status(thm)],[71]) ).
thf(135,plain,
( ( sk2 @ host @ ( status @ index ) )
= elec_2 ),
inference(lifteq,[status(thm)],[109]) ).
thf(585,plain,
( ( ( sk2 @ host @ ( pendack @ index ) )
!= ( sk2 @ host @ ( status @ index ) ) )
| ( ( sk3 @ host )
= elec_2 ) ),
inference(paramod_ordered,[status(thm)],[114,135]) ).
thf(593,plain,
( ( ( sk2 @ host )
!= ( sk2 @ host ) )
| ( pendack != status )
| ( ( sk3 @ host )
= elec_2 ) ),
inference(simp,[status(thm)],[585]) ).
thf(595,plain,
( ( pendack != status )
| ( ( sk3 @ host )
= elec_2 ) ),
inference(simp,[status(thm)],[593]) ).
thf(21,axiom,
! [A: $i] : ( nbr_proc @ ( A @ host @ leq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
thf(241,plain,
! [A: $i] : ( nbr_proc @ ( A @ host @ leq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(242,plain,
! [A: $i] : ( nbr_proc @ ( A @ host @ leq ) ),
inference(cnf,[status(esa)],[241]) ).
thf(670,plain,
! [A: $i] :
( ( ( sk3 @ host )
!= ( A @ host ) )
| ( nbr_proc @ ( elec_2 @ leq ) )
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[595,242]) ).
thf(671,plain,
( ( nbr_proc @ ( elec_2 @ leq ) )
| ( pendack != status ) ),
inference(pattern_uni,[status(thm)],[670:[bind(A,$thf( sk3 ))]]) ).
thf(57,axiom,
! [A: $i] :
~ ( A @ ( A @ s @ leq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
thf(416,plain,
! [A: $i] :
~ ( A @ ( A @ s @ leq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(417,plain,
~ ? [A: $i] : ( A @ ( A @ s @ leq ) ),
inference(miniscope,[status(thm)],[416]) ).
thf(418,plain,
! [A: $i] :
~ ( A @ ( A @ s @ leq ) ),
inference(cnf,[status(esa)],[417]) ).
thf(1404,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( nbr_proc @ ( elec_2 @ leq ) ) )
| ~ $true
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[671,418]) ).
thf(1405,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( nbr_proc @ ( elec_2 @ leq ) ) )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1404]) ).
thf(1413,plain,
! [A: $i] :
( ( A != nbr_proc )
| ( ( A @ s )
!= elec_2 )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1405]) ).
thf(1426,plain,
( ( ( nbr_proc @ s )
!= elec_2 )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1413]) ).
thf(545,plain,
( ( ( sk2 @ host @ ( pendack @ index ) )
!= ( sk2 @ host @ ( status @ index ) ) )
| ( elec_2 @ ( nbr_proc @ leq ) ) ),
inference(paramod_ordered,[status(thm)],[135,89]) ).
thf(548,plain,
( ( ( sk2 @ host )
!= ( sk2 @ host ) )
| ( pendack != status )
| ( elec_2 @ ( nbr_proc @ leq ) ) ),
inference(simp,[status(thm)],[545]) ).
thf(550,plain,
( ( pendack != status )
| ( elec_2 @ ( nbr_proc @ leq ) ) ),
inference(simp,[status(thm)],[548]) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ~ ( alive @ ( B @ setIn ) )
| ( ( C @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( B @ host )
!= ( A @ host ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ( ( C @ host )
= ( B @ host ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(141,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ( ( C @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( B @ host )
!= ( A @ host ) )
| ( ( C @ host )
= ( B @ host ) ) ),
inference(lifteq,[status(thm)],[105]) ).
thf(142,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ( ( C @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( B @ host )
!= ( A @ host ) )
| ( ( C @ host )
= ( B @ host ) ) ),
inference(simp,[status(thm)],[141]) ).
thf(84,plain,
( ( sk8 @ host )
= ( sk10 @ host @ s ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(126,plain,
( ( sk10 @ host @ s )
= ( sk8 @ host ) ),
inference(lifteq,[status(thm)],[84]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ leq ) )
| ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
thf(381,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ leq ) )
| ( B @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(382,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ leq ) )
| ( B @ ( A @ leq ) ) ),
inference(cnf,[status(esa)],[381]) ).
thf(8544,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ leq ) )
!= ( C @ ( C @ s @ leq ) ) )
| ~ $true
| ( B @ ( A @ leq ) ) ),
inference(paramod_ordered,[status(thm)],[382,418]) ).
thf(8545,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ leq ) )
!= ( C @ ( C @ s @ leq ) ) )
| ( B @ ( A @ leq ) ) ),
inference(simp,[status(thm)],[8544]) ).
thf(8546,plain,
! [A: $i] : ( A @ s @ ( A @ leq ) ),
inference(pattern_uni,[status(thm)],[8545:[bind(A,$thf( A )),bind(B,$thf( A @ s )),bind(C,$thf( A ))]]) ).
thf(9198,plain,
! [A: $i] :
( ( ( sk10 @ host @ s )
!= ( A @ s ) )
| ( sk8 @ host @ ( A @ leq ) ) ),
inference(paramod_ordered,[status(thm)],[126,8546]) ).
thf(9199,plain,
sk8 @ host @ ( sk10 @ host @ leq ),
inference(pattern_uni,[status(thm)],[9198:[bind(A,$thf( sk10 @ host ))]]) ).
thf(91,plain,
! [B: $i,A: $i] :
( ~ ( B @ host @ ( A @ host @ leq ) )
| ~ ( A @ host @ queue @ ( B @ m_Ldr @ elem ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(9276,plain,
! [B: $i,A: $i] :
( ( ( sk8 @ host @ ( sk10 @ host @ leq ) )
!= ( B @ host @ ( A @ host @ leq ) ) )
| ~ $true
| ~ ( A @ host @ queue @ ( B @ m_Ldr @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[9199,91]) ).
thf(9277,plain,
! [B: $i,A: $i] :
( ( ( sk8 @ host @ ( sk10 @ host @ leq ) )
!= ( B @ host @ ( A @ host @ leq ) ) )
| ~ ( A @ host @ queue @ ( B @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[9276]) ).
thf(9278,plain,
~ ( sk10 @ host @ queue @ ( sk8 @ m_Ldr @ elem ) ),
inference(pattern_uni,[status(thm)],[9277:[bind(A,$thf( sk10 )),bind(B,$thf( sk8 ))]]) ).
thf(1408,plain,
! [A: $i] :
( ( ( sk10 @ host @ s )
!= ( A @ s ) )
| ~ ( A @ ( sk8 @ host @ leq ) ) ),
inference(paramod_ordered,[status(thm)],[126,418]) ).
thf(1409,plain,
~ ( sk10 @ host @ ( sk8 @ host @ leq ) ),
inference(pattern_uni,[status(thm)],[1408:[bind(A,$thf( sk10 @ host ))]]) ).
thf(1451,plain,
! [A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( sk10 @ host @ ( sk8 @ host @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[308,1409]) ).
thf(1452,plain,
! [A: $i] :
( ( A @ ( A @ leq ) )
!= ( sk10 @ host @ ( sk8 @ host @ leq ) ) ),
inference(simp,[status(thm)],[1451]) ).
thf(1488,plain,
! [A: $i] :
( ( A
!= ( sk10 @ host ) )
| ( A
!= ( sk8 @ host ) ) ),
inference(simp,[status(thm)],[1452]) ).
thf(1496,plain,
( ( sk10 @ host )
!= ( sk8 @ host ) ),
inference(simp,[status(thm)],[1488]) ).
thf(1497,plain,
sk10 != sk8,
inference(simp,[status(thm)],[1496]) ).
thf(17,axiom,
nbr_proc @ ( zero @ s @ leq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
thf(229,plain,
nbr_proc @ ( zero @ s @ leq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1388,plain,
! [A: $i] :
( ( ( nbr_proc @ ( zero @ s @ leq ) )
!= ( A @ ( A @ s @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[229,418]) ).
thf(1389,plain,
! [A: $i] :
( ( nbr_proc @ ( zero @ s @ leq ) )
!= ( A @ ( A @ s @ leq ) ) ),
inference(simp,[status(thm)],[1388]) ).
thf(1421,plain,
! [A: $i] :
( ( nbr_proc != A )
| ( ( zero @ s )
!= ( A @ s ) ) ),
inference(simp,[status(thm)],[1389]) ).
thf(1434,plain,
( ( nbr_proc @ s )
!= ( zero @ s ) ),
inference(simp,[status(thm)],[1421]) ).
thf(1705,plain,
nbr_proc != zero,
inference(simp,[status(thm)],[1434]) ).
thf(73,plain,
! [B: $i,A: $i] :
( ( ( B @ host )
!= ( A @ host ) )
| ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(139,plain,
! [B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ( ( B @ host )
!= ( A @ host ) ) ),
inference(lifteq,[status(thm)],[73]) ).
thf(140,plain,
! [B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ( ( B @ host )
!= ( A @ host ) ) ),
inference(simp,[status(thm)],[139]) ).
thf(5182,plain,
! [B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ( B != A ) ),
inference(simp,[status(thm)],[140]) ).
thf(5252,plain,
! [A: $i] :
~ ( A @ host @ queue @ ( A @ m_Down @ elem ) ),
inference(simp,[status(thm)],[5182]) ).
thf(86,plain,
sk3 @ host @ ( sk2 @ host @ leq ),
inference(cnfConj,[status(thm)],[71]) ).
thf(1394,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( sk3 @ host @ ( sk2 @ host @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[86,418]) ).
thf(1395,plain,
! [A: $i] :
( ( A @ ( A @ s @ leq ) )
!= ( sk3 @ host @ ( sk2 @ host @ leq ) ) ),
inference(simp,[status(thm)],[1394]) ).
thf(1419,plain,
! [A: $i] :
( ( A
!= ( sk3 @ host ) )
| ( ( A @ s )
!= ( sk2 @ host ) ) ),
inference(simp,[status(thm)],[1395]) ).
thf(1432,plain,
( ( sk3 @ host @ s )
!= ( sk2 @ host ) ),
inference(simp,[status(thm)],[1419]) ).
thf(1711,plain,
( ( ( sk10 @ host @ s )
!= ( sk3 @ host @ s ) )
| ( ( sk8 @ host )
!= ( sk2 @ host ) ) ),
inference(paramod_ordered,[status(thm)],[126,1432]) ).
thf(1715,plain,
( ( ( sk10 @ host )
!= ( sk3 @ host ) )
| ( sk8 != sk2 ) ),
inference(simp,[status(thm)],[1711]) ).
thf(5123,plain,
( ( sk10 != sk3 )
| ( sk8 != sk2 ) ),
inference(simp,[status(thm)],[1715]) ).
thf(104,plain,
( ( sk2 @ host @ queue )
= ( sk1 @ ( sk3 @ m_Down @ cons ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(157,plain,
( ( sk1 @ ( sk3 @ m_Down @ cons ) )
= ( sk2 @ host @ queue ) ),
inference(lifteq,[status(thm)],[104]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ ( q_nil @ snoc ) @ ordered )
& ( q_nil @ ( A @ cons ) @ ordered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(325,plain,
! [A: $i] :
( ( A @ ( q_nil @ snoc ) @ ordered )
& ( q_nil @ ( A @ cons ) @ ordered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(326,plain,
( ! [A: $i] : ( A @ ( q_nil @ snoc ) @ ordered )
& ! [A: $i] : ( q_nil @ ( A @ cons ) @ ordered ) ),
inference(miniscope,[status(thm)],[325]) ).
thf(327,plain,
! [B: $i,A: $i] :
( ( B @ ( q_nil @ snoc ) @ ordered )
& ( q_nil @ ( A @ cons ) @ ordered ) ),
inference(cnf,[status(esa)],[326]) ).
thf(328,plain,
! [A: $i] : ( q_nil @ ( A @ cons ) @ ordered ),
inference(cnfConj,[status(thm)],[327]) ).
thf(780,plain,
! [A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( q_nil @ ( A @ cons ) ) )
| ( sk2 @ host @ queue @ ordered ) ),
inference(paramod_ordered,[status(thm)],[157,328]) ).
thf(781,plain,
! [A: $i] :
( ( sk1 != q_nil )
| ( ( sk3 @ m_Down )
!= A )
| ( sk2 @ host @ queue @ ordered ) ),
inference(simp,[status(thm)],[780]) ).
thf(782,plain,
( ( sk1 != q_nil )
| ( sk2 @ host @ queue @ ordered ) ),
inference(simp,[status(thm)],[781]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( C @ ( A @ m_Ack ) )
!= ( D @ ( B @ m_Ack ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(257,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( C @ ( A @ m_Ack ) )
!= ( D @ ( B @ m_Ack ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NotNorm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(386,plain,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NotNorm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(387,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Ldr )
= ( B @ m_NotNorm ) ),
inference(miniscope,[status(thm)],[386]) ).
thf(388,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NotNorm ) ),
inference(cnf,[status(esa)],[387]) ).
thf(389,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NotNorm ) ),
inference(lifteq,[status(thm)],[388]) ).
thf(94,plain,
( ( sk2 @ host )
= ( sk7 @ host ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(160,plain,
( ( sk7 @ host )
= ( sk2 @ host ) ),
inference(lifteq,[status(thm)],[94]) ).
thf(92,plain,
sk10 @ host @ s @ ( nbr_proc @ leq ),
inference(cnfConj,[status(thm)],[71]) ).
thf(509,plain,
sk8 @ host @ ( nbr_proc @ leq ),
inference(rewrite,[status(thm)],[92,126]) ).
thf(539,plain,
( ( ( sk8 @ host )
!= ( sk7 @ host ) )
| ( sk2 @ host @ ( nbr_proc @ leq ) ) ),
inference(paramod_ordered,[status(thm)],[160,509]) ).
thf(540,plain,
( ( sk8 != sk7 )
| ( sk2 @ host @ ( nbr_proc @ leq ) ) ),
inference(simp,[status(thm)],[539]) ).
thf(1392,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( sk2 @ host @ ( nbr_proc @ leq ) ) )
| ~ $true
| ( sk8 != sk7 ) ),
inference(paramod_ordered,[status(thm)],[540,418]) ).
thf(1393,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( sk2 @ host @ ( nbr_proc @ leq ) ) )
| ( sk8 != sk7 ) ),
inference(simp,[status(thm)],[1392]) ).
thf(1417,plain,
! [A: $i] :
( ( A
!= ( sk2 @ host ) )
| ( ( A @ s )
!= nbr_proc )
| ( sk8 != sk7 ) ),
inference(simp,[status(thm)],[1393]) ).
thf(1430,plain,
( ( ( sk2 @ host @ s )
!= nbr_proc )
| ( sk8 != sk7 ) ),
inference(simp,[status(thm)],[1417]) ).
thf(20,axiom,
! [A: $i] : ( A @ host @ ( zero @ s @ leq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
thf(239,plain,
! [A: $i] : ( A @ host @ ( zero @ s @ leq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(240,plain,
! [A: $i] : ( A @ host @ ( zero @ s @ leq ) ),
inference(cnf,[status(esa)],[239]) ).
thf(787,plain,
! [A: $i] :
( ( ( sk3 @ host )
!= ( A @ host ) )
| ( elec_2 @ ( zero @ s @ leq ) )
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[595,240]) ).
thf(788,plain,
( ( elec_2 @ ( zero @ s @ leq ) )
| ( pendack != status ) ),
inference(pattern_uni,[status(thm)],[787:[bind(A,$thf( sk3 ))]]) ).
thf(2020,plain,
! [A: $i] :
( ( ( elec_2 @ ( zero @ s @ leq ) )
!= ( A @ ( A @ s @ leq ) ) )
| ~ $true
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[788,418]) ).
thf(2021,plain,
! [A: $i] :
( ( ( elec_2 @ ( zero @ s @ leq ) )
!= ( A @ ( A @ s @ leq ) ) )
| ( pendack != status ) ),
inference(simp,[status(thm)],[2020]) ).
thf(2032,plain,
! [A: $i] :
( ( elec_2 != A )
| ( ( zero @ s )
!= ( A @ s ) )
| ( pendack != status ) ),
inference(simp,[status(thm)],[2021]) ).
thf(2039,plain,
( ( ( zero @ s )
!= ( elec_2 @ s ) )
| ( pendack != status ) ),
inference(simp,[status(thm)],[2032]) ).
thf(856,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( C @ host @ ( B @ host @ leq ) ) )
| ~ $true
| ~ ( B @ host @ queue @ ( C @ m_Ldr @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[308,91]) ).
thf(857,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( C @ host @ ( B @ host @ leq ) ) )
| ~ ( B @ host @ queue @ ( C @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[856]) ).
thf(858,plain,
! [A: $i] :
~ ( A @ host @ queue @ ( A @ m_Ldr @ elem ) ),
inference(pattern_uni,[status(thm)],[857:[bind(A,$thf( D @ host )),bind(B,$thf( D )),bind(C,$thf( D ))]]) ).
thf(859,plain,
! [A: $i] :
~ ( A @ host @ queue @ ( A @ m_Ldr @ elem ) ),
inference(simp,[status(thm)],[858]) ).
thf(3224,plain,
! [A: $i] :
( ( ( sk7 @ host )
!= ( A @ host ) )
| ~ ( sk2 @ host @ queue @ ( A @ m_Ldr @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[160,859]) ).
thf(3225,plain,
~ ( sk2 @ host @ queue @ ( sk7 @ m_Ldr @ elem ) ),
inference(pattern_uni,[status(thm)],[3224:[bind(A,$thf( sk7 ))]]) ).
thf(6007,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[379,3225]) ).
thf(6008,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[6007]) ).
thf(6049,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) )
!= ( sk2 @ host @ queue ) )
| ( A
!= ( sk7 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[6008]) ).
thf(6095,plain,
! [A: $i] :
( ( sk7 @ m_Ldr @ ( A @ snoc ) )
!= ( sk2 @ host @ queue ) ),
inference(simp,[status(thm)],[6049]) ).
thf(106,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) )
!= ( C @ host ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(124,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) )
| ( ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) )
!= ( C @ host ) ) ),
inference(lifteq,[status(thm)],[106]) ).
thf(125,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) )
| ( ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) )
!= ( C @ host ) ) ),
inference(simp,[status(thm)],[124]) ).
thf(40,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
thf(355,plain,
elec_2 != norm,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(356,plain,
elec_2 != norm,
inference(polarity_switch,[status(thm)],[355]) ).
thf(357,plain,
norm != elec_2,
inference(lifteq,[status(thm)],[356]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ m_Halt @ pidMsg )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(189,plain,
! [A: $i] :
( ( A @ m_Halt @ pidMsg )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,axiom,
~ ( alive @ ( nil @ setIn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(227,plain,
~ ( alive @ ( nil @ setIn ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(228,plain,
~ ( alive @ ( nil @ setIn ) ),
inference(polarity_switch,[status(thm)],[227]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ pidElem )
<=> ? [B: $i] :
( ( A
= ( B @ m_Down ) )
| ( A
= ( B @ m_Halt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(289,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( A
= ( B @ m_Down ) )
| ( A
= ( B @ m_Halt ) ) )
=> ( A @ pidElem ) )
& ( ( A @ pidElem )
=> ? [B: $i] :
( ( A
= ( B @ m_Down ) )
| ( A
= ( B @ m_Halt ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_Down )
!= ( B @ m_Down ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(311,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_Down )
!= ( B @ m_Down ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_Down )
!= ( B @ m_Down ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(312,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_Down )
!= ( B @ m_Down ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_Down )
!= ( B @ m_Down ) ) ) ),
inference(miniscope,[status(thm)],[311]) ).
thf(313,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_Down )
= ( D @ m_Down ) ) )
& ( ( ( A @ m_Down )
!= ( B @ m_Down ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[312]) ).
thf(314,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Down )
!= ( B @ m_Down ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[313]) ).
thf(316,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Down )
!= ( B @ m_Down ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[314]) ).
thf(317,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_Down @ A )
= B ),
inference(detectInverse,[status(thm)],[316]) ).
thf(318,plain,
! [A: $i] :
( ( A @ m_Down @ sk18 )
= A ),
inference(cnf,[status(esa)],[317]) ).
thf(2007,plain,
! [A: $i] :
( ( A @ m_Down @ sk18 )
= A ),
inference(lifteq,[status(thm)],[318]) ).
thf(12,axiom,
! [A: $i] :
( ( A
= ( A @ last @ ( A @ init @ snoc ) ) )
| ( A = q_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
thf(216,plain,
! [A: $i] :
( ( A
= ( A @ last @ ( A @ init @ snoc ) ) )
| ( A = q_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(75,plain,
alive @ ( sk2 @ setIn ),
inference(cnfConj,[status(thm)],[71]) ).
thf(483,plain,
( ( ( alive @ ( sk2 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[75,228]) ).
thf(484,plain,
( ( alive @ ( sk2 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) ),
inference(simp,[status(thm)],[483]) ).
thf(489,plain,
( ( alive != alive )
| ( sk2 != nil ) ),
inference(simp,[status(thm)],[484]) ).
thf(492,plain,
sk2 != nil,
inference(simp,[status(thm)],[489]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
thf(179,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(321,plain,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Down ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(250,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Down ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(251,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
= ( C @ m_Down ) ),
inference(miniscope,[status(thm)],[250]) ).
thf(252,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Down ) ),
inference(cnf,[status(esa)],[251]) ).
thf(253,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Down ) ),
inference(lifteq,[status(thm)],[252]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NotNorm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(235,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NotNorm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(236,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
= ( C @ m_NotNorm ) ),
inference(miniscope,[status(thm)],[235]) ).
thf(237,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NotNorm ) ),
inference(cnf,[status(esa)],[236]) ).
thf(238,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NotNorm ) ),
inference(lifteq,[status(thm)],[237]) ).
thf(93,plain,
( ( sk2 @ host )
!= ( sk10 @ host ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(121,plain,
( ( sk10 @ host )
!= ( sk2 @ host ) ),
inference(lifteq,[status(thm)],[93]) ).
thf(600,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ host @ ( sk2 @ host @ leq ) )
!= ( B @ host @ ( A @ host @ leq ) ) )
| ~ $true
| ~ ( A @ host @ queue @ ( B @ m_Ldr @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[86,91]) ).
thf(601,plain,
! [B: $i,A: $i] :
( ( ( sk3 @ host @ ( sk2 @ host @ leq ) )
!= ( B @ host @ ( A @ host @ leq ) ) )
| ~ ( A @ host @ queue @ ( B @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[600]) ).
thf(602,plain,
~ ( sk2 @ host @ queue @ ( sk3 @ m_Ldr @ elem ) ),
inference(pattern_uni,[status(thm)],[601:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 ))]]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
thf(397,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( q_nil
!= ( B @ ( A @ cons ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(412,plain,
! [A: $i,B: $i] :
( q_nil
!= ( B @ ( A @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(413,plain,
~ ? [A: $i,B: $i] :
( q_nil
= ( B @ ( A @ cons ) ) ),
inference(miniscope,[status(thm)],[412]) ).
thf(414,plain,
! [B: $i,A: $i] :
( q_nil
!= ( B @ ( A @ cons ) ) ),
inference(cnf,[status(esa)],[413]) ).
thf(415,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) )
!= q_nil ),
inference(lifteq,[status(thm)],[414]) ).
thf(1376,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( B @ ( A @ cons ) ) )
| ( ( sk2 @ host @ queue )
!= q_nil ) ),
inference(paramod_ordered,[status(thm)],[157,415]) ).
thf(1377,plain,
( ( sk2 @ host @ queue )
!= q_nil ),
inference(pattern_uni,[status(thm)],[1376:[bind(A,$thf( sk3 @ m_Down )),bind(B,$thf( sk1 ))]]) ).
thf(102,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ host @ ( status @ index ) )
!= norm )
| ( ( D @ host @ ( ldr @ index ) )
!= ( D @ host ) )
| ~ ( alive @ ( D @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host )
!= ( C @ host @ s ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( C @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( C @ setIn ) )
| ( A @ ( B @ ( C @ sk5 ) ) @ ( zero @ s @ leq ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(131,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( alive @ ( D @ setIn ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( C @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( C @ setIn ) )
| ( A @ ( B @ ( C @ sk5 ) ) @ ( zero @ s @ leq ) )
| ( ( D @ host @ ( status @ index ) )
!= norm )
| ( ( D @ host @ ( ldr @ index ) )
!= ( D @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host )
!= ( C @ host @ s ) ) ),
inference(lifteq,[status(thm)],[102]) ).
thf(132,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( alive @ ( D @ setIn ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( C @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( C @ setIn ) )
| ( A @ ( B @ ( C @ sk5 ) ) @ ( zero @ s @ leq ) )
| ( ( D @ host @ ( status @ index ) )
!= norm )
| ( ( D @ host @ ( ldr @ index ) )
!= ( D @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host )
!= ( C @ host @ s ) ) ),
inference(simp,[status(thm)],[131]) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_NormQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(393,plain,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_NormQ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(394,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Down )
= ( B @ m_NormQ ) ),
inference(miniscope,[status(thm)],[393]) ).
thf(395,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_NormQ ) ),
inference(cnf,[status(esa)],[394]) ).
thf(396,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_NormQ ) ),
inference(lifteq,[status(thm)],[395]) ).
thf(55,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).
thf(409,plain,
elec_1 != elec_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(410,plain,
elec_1 != elec_2,
inference(polarity_switch,[status(thm)],[409]) ).
thf(411,plain,
elec_2 != elec_1,
inference(lifteq,[status(thm)],[410]) ).
thf(1398,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( sk8 @ host @ ( nbr_proc @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[509,418]) ).
thf(1399,plain,
! [A: $i] :
( ( A @ ( A @ s @ leq ) )
!= ( sk8 @ host @ ( nbr_proc @ leq ) ) ),
inference(simp,[status(thm)],[1398]) ).
thf(1420,plain,
! [A: $i] :
( ( A
!= ( sk8 @ host ) )
| ( ( A @ s )
!= nbr_proc ) ),
inference(simp,[status(thm)],[1399]) ).
thf(1433,plain,
( ( sk8 @ host @ s )
!= nbr_proc ),
inference(simp,[status(thm)],[1420]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(426,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(427,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
inference(cnf,[status(esa)],[426]) ).
thf(428,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
inference(lifteq,[status(thm)],[427]) ).
thf(72,plain,
! [A: $i] :
( ( ( A @ host @ ( elid @ index ) )
= A )
| ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(115,plain,
! [A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( elid @ index ) )
= A )
| ( ( A @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(lifteq,[status(thm)],[72]) ).
thf(116,plain,
! [A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( elid @ index ) )
= A )
| ( ( A @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(simp,[status(thm)],[115]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_NotNorm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(243,plain,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_NotNorm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(64,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ ordered )
<=> ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( A @ pidMsg @ ( C @ pidMsg @ leq ) ) )
& ( B @ ordered ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
thf(439,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( A @ pidMsg @ ( C @ pidMsg @ leq ) ) )
& ( B @ ordered ) )
=> ( A @ ( B @ snoc ) @ ordered ) )
& ( ( A @ ( B @ snoc ) @ ordered )
=> ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( A @ pidMsg @ ( C @ pidMsg @ leq ) ) )
& ( B @ ordered ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ init )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(199,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ init )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(200,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ init )
= B ),
inference(cnf,[status(esa)],[199]) ).
thf(201,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ init )
= B ),
inference(lifteq,[status(thm)],[200]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( A @ m_NormQ )
!= ( B @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(220,plain,
! [A: $i,B: $i] :
( ( A @ m_NormQ )
!= ( B @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NormQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(334,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NormQ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ m_Down @ pidMsg )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(390,plain,
! [A: $i] :
( ( A @ m_Down @ pidMsg )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(391,plain,
! [A: $i] :
( ( A @ m_Down @ pidMsg )
= A ),
inference(cnf,[status(esa)],[390]) ).
thf(392,plain,
! [A: $i] :
( ( A @ m_Down @ pidMsg )
= A ),
inference(lifteq,[status(thm)],[391]) ).
thf(290,plain,
( ! [A: $i] :
( ( ? [B: $i] :
( A
= ( B @ m_Down ) )
| ? [B: $i] :
( A
= ( B @ m_Halt ) ) )
=> ( A @ pidElem ) )
& ! [A: $i] :
( ( A @ pidElem )
=> ( ? [B: $i] :
( A
= ( B @ m_Down ) )
| ? [B: $i] :
( A
= ( B @ m_Halt ) ) ) ) ),
inference(miniscope,[status(thm)],[289]) ).
thf(291,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ pidElem )
| ( B
!= ( D @ m_Down ) ) )
& ( ( B @ pidElem )
| ( B
!= ( C @ m_Halt ) ) )
& ( ( A
= ( A @ sk17 @ m_Down ) )
| ( A
= ( A @ sk16 @ m_Halt ) )
| ~ ( A @ pidElem ) ) ),
inference(cnf,[status(esa)],[290]) ).
thf(293,plain,
! [B: $i,A: $i] :
( ( A @ pidElem )
| ( A
!= ( B @ m_Halt ) ) ),
inference(cnfConj,[status(thm)],[291]) ).
thf(296,plain,
! [B: $i,A: $i] :
( ( A @ pidElem )
| ( A
!= ( B @ m_Halt ) ) ),
inference(lifteq,[status(thm)],[293]) ).
thf(297,plain,
! [A: $i] : ( A @ m_Halt @ pidElem ),
inference(simp,[status(thm)],[296]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ last )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(192,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ last )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(61,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ m_Down @ elem ) )
& ( ( B @ host )
= ( C @ host ) )
& ( A @ ( B @ m_Halt @ cons ) @ ordered ) )
=> ( C @ ( B @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
thf(429,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ m_Down @ elem ) )
& ( ( B @ host )
= ( C @ host ) )
& ( A @ ( B @ m_Halt @ cons ) @ ordered ) )
=> ( C @ ( B @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( A @ m_NotNorm )
!= ( B @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(165,plain,
! [A: $i,B: $i] :
( ( A @ m_NotNorm )
!= ( B @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(273,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(274,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
inference(cnf,[status(esa)],[273]) ).
thf(275,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
inference(lifteq,[status(thm)],[274]) ).
thf(1400,plain,
! [B: $i,A: $i] :
( ( ( A @ host @ ( zero @ s @ leq ) )
!= ( B @ ( B @ s @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[240,418]) ).
thf(1401,plain,
! [B: $i,A: $i] :
( ( A @ host @ ( zero @ s @ leq ) )
!= ( B @ ( B @ s @ leq ) ) ),
inference(simp,[status(thm)],[1400]) ).
thf(1410,plain,
! [B: $i,A: $i] :
( ( ( A @ host )
!= B )
| ( ( zero @ s )
!= ( B @ s ) ) ),
inference(simp,[status(thm)],[1401]) ).
thf(1423,plain,
! [A: $i] :
( ( A @ host @ s )
!= ( zero @ s ) ),
inference(simp,[status(thm)],[1410]) ).
thf(111,plain,
alive @ ( sk7 @ setIn ),
inference(cnfConj,[status(thm)],[71]) ).
thf(485,plain,
( ( ( alive @ ( sk7 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[111,228]) ).
thf(486,plain,
( ( alive @ ( sk7 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) ),
inference(simp,[status(thm)],[485]) ).
thf(490,plain,
( ( alive != alive )
| ( sk7 != nil ) ),
inference(simp,[status(thm)],[486]) ).
thf(493,plain,
sk7 != nil,
inference(simp,[status(thm)],[490]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( B @ s @ ( A @ leq ) )
<=> ( ( B @ ( A @ leq ) )
| ( A
= ( B @ s ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
thf(456,plain,
! [A: $i,B: $i] :
( ( ( ( B @ ( A @ leq ) )
| ( A
= ( B @ s ) ) )
=> ( B @ s @ ( A @ leq ) ) )
& ( ( B @ s @ ( A @ leq ) )
=> ( ( B @ ( A @ leq ) )
| ( A
= ( B @ s ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(322,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Ldr )
= ( B @ m_Halt ) ),
inference(miniscope,[status(thm)],[321]) ).
thf(323,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_Halt ) ),
inference(cnf,[status(esa)],[322]) ).
thf(324,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_Halt ) ),
inference(lifteq,[status(thm)],[323]) ).
thf(15,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
thf(224,plain,
elec_1 != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(649,plain,
( ( ( sk3 @ host )
!= ( sk3 @ host ) )
| ( elec_2 @ ( sk2 @ host @ leq ) )
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[595,86]) ).
thf(650,plain,
( ( elec_2 @ ( sk2 @ host @ leq ) )
| ( pendack != status ) ),
inference(pattern_uni,[status(thm)],[649:[]]) ).
thf(2684,plain,
! [A: $i] :
( ( ( sk7 @ host )
!= ( A @ host ) )
| ( ( sk2 @ host @ s )
!= ( zero @ s ) ) ),
inference(paramod_ordered,[status(thm)],[160,1423]) ).
thf(2685,plain,
( ( sk2 @ host @ s )
!= ( zero @ s ) ),
inference(pattern_uni,[status(thm)],[2684:[bind(A,$thf( sk7 ))]]) ).
thf(1382,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( elec_2 @ ( nbr_proc @ leq ) ) )
| ~ $true
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[550,418]) ).
thf(1383,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( elec_2 @ ( nbr_proc @ leq ) ) )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1382]) ).
thf(1412,plain,
! [A: $i] :
( ( A != elec_2 )
| ( ( A @ s )
!= nbr_proc )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1383]) ).
thf(1425,plain,
( ( ( elec_2 @ s )
!= nbr_proc )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1412]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(169,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(83,plain,
sk10 @ host @ queue @ ( sk9 @ m_Down @ elem ),
inference(cnfConj,[status(thm)],[71]) ).
thf(5231,plain,
! [B: $i,A: $i] :
( ( ( sk10 @ host @ queue @ ( sk9 @ m_Down @ elem ) )
!= ( A @ host @ queue @ ( B @ m_Down @ elem ) ) )
| ~ $true
| ( ( B @ host )
!= ( A @ host ) ) ),
inference(paramod_ordered,[status(thm)],[83,140]) ).
thf(5232,plain,
! [B: $i,A: $i] :
( ( ( sk10 @ host @ queue @ ( sk9 @ m_Down @ elem ) )
!= ( A @ host @ queue @ ( B @ m_Down @ elem ) ) )
| ( ( B @ host )
!= ( A @ host ) ) ),
inference(simp,[status(thm)],[5231]) ).
thf(5233,plain,
( ( sk10 @ host )
!= ( sk9 @ host ) ),
inference(pattern_uni,[status(thm)],[5232:[bind(A,$thf( sk10 )),bind(B,$thf( sk9 ))]]) ).
thf(496,plain,
( ( ( sk10 @ host )
!= ( sk7 @ host ) )
| ( ( sk2 @ host )
!= ( sk2 @ host ) ) ),
inference(paramod_ordered,[status(thm)],[160,121]) ).
thf(497,plain,
( ( sk10 @ host )
!= ( sk7 @ host ) ),
inference(simp,[status(thm)],[496]) ).
thf(499,plain,
sk10 != sk7,
inference(simp,[status(thm)],[497]) ).
thf(2683,plain,
! [A: $i] :
( ( A @ host )
!= zero ),
inference(simp,[status(thm)],[1423]) ).
thf(2999,plain,
! [A: $i] :
( ( ( sk3 @ host )
!= ( A @ host ) )
| ( zero != elec_2 )
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[595,2683]) ).
thf(3000,plain,
( ( zero != elec_2 )
| ( pendack != status ) ),
inference(pattern_uni,[status(thm)],[2999:[bind(A,$thf( sk3 ))]]) ).
thf(67,axiom,
! [A: $i,B: $i] :
( ( ( A @ host @ s )
= ( B @ host ) )
=> ( ( A @ host )
!= ( B @ host ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
thf(476,plain,
! [A: $i,B: $i] :
( ( ( A @ host @ s )
= ( B @ host ) )
=> ( ( A @ host )
!= ( B @ host ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( A @ m_NormQ )
!= ( B @ m_NotNorm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(212,plain,
! [A: $i,B: $i] :
( ( A @ m_NormQ )
!= ( B @ m_NotNorm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(25,axiom,
! [A: $i] :
~ ( setEmpty @ ( A @ setIn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
thf(254,plain,
! [A: $i] :
~ ( setEmpty @ ( A @ setIn ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(255,plain,
~ ? [A: $i] : ( setEmpty @ ( A @ setIn ) ),
inference(miniscope,[status(thm)],[254]) ).
thf(256,plain,
! [A: $i] :
~ ( setEmpty @ ( A @ setIn ) ),
inference(cnf,[status(esa)],[255]) ).
thf(1390,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( elec_2 @ ( sk2 @ host @ leq ) ) )
| ~ $true
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[650,418]) ).
thf(1391,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( elec_2 @ ( sk2 @ host @ leq ) ) )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1390]) ).
thf(1411,plain,
! [A: $i] :
( ( A != elec_2 )
| ( ( A @ s )
!= ( sk2 @ host ) )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1391]) ).
thf(1424,plain,
( ( ( elec_2 @ s )
!= ( sk2 @ host ) )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1411]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( q_nil
!= ( A @ ( B @ snoc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
thf(195,plain,
! [A: $i,B: $i] :
( q_nil
!= ( A @ ( B @ snoc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(196,plain,
~ ? [A: $i,B: $i] :
( q_nil
= ( A @ ( B @ snoc ) ) ),
inference(miniscope,[status(thm)],[195]) ).
thf(197,plain,
! [B: $i,A: $i] :
( q_nil
!= ( A @ ( B @ snoc ) ) ),
inference(cnf,[status(esa)],[196]) ).
thf(198,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) )
!= q_nil ),
inference(lifteq,[status(thm)],[197]) ).
thf(3009,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( B @ ( C @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) )
!= q_nil ) ),
inference(paramod_ordered,[status(thm)],[408,198]) ).
thf(3010,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) )
!= q_nil ),
inference(pattern_uni,[status(thm)],[3009:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(5997,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk3 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[379,602]) ).
thf(5998,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk3 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[5997]) ).
thf(6051,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) )
!= ( sk2 @ host @ queue ) )
| ( A
!= ( sk3 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[5998]) ).
thf(6097,plain,
! [A: $i] :
( ( sk3 @ m_Ldr @ ( A @ snoc ) )
!= ( sk2 @ host @ queue ) ),
inference(simp,[status(thm)],[6051]) ).
thf(170,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) ) ) ),
inference(miniscope,[status(thm)],[169]) ).
thf(171,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_NotNorm )
= ( D @ m_NotNorm ) ) )
& ( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[170]) ).
thf(172,plain,
! [B: $i,A: $i] :
( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[171]) ).
thf(174,plain,
! [B: $i,A: $i] :
( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[172]) ).
thf(175,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_NotNorm @ A )
= B ),
inference(detectInverse,[status(thm)],[174]) ).
thf(176,plain,
! [A: $i] :
( ( A @ m_NotNorm @ sk11 )
= A ),
inference(cnf,[status(esa)],[175]) ).
thf(1266,plain,
! [A: $i] :
( ( A @ m_NotNorm @ sk11 )
= A ),
inference(lifteq,[status(thm)],[176]) ).
thf(5285,plain,
! [A: $i] :
( ( ( sk7 @ host )
!= ( A @ host ) )
| ~ ( sk2 @ host @ queue @ ( A @ m_Down @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[160,5252]) ).
thf(5286,plain,
~ ( sk2 @ host @ queue @ ( sk7 @ m_Down @ elem ) ),
inference(pattern_uni,[status(thm)],[5285:[bind(A,$thf( sk7 ))]]) ).
thf(6015,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Down @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[379,5286]) ).
thf(6016,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Down @ elem ) ) ),
inference(simp,[status(thm)],[6015]) ).
thf(6047,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) )
!= ( sk2 @ host @ queue ) )
| ( A
!= ( sk7 @ m_Down ) ) ),
inference(simp,[status(thm)],[6016]) ).
thf(6093,plain,
! [A: $i] :
( ( sk7 @ m_Down @ ( A @ snoc ) )
!= ( sk2 @ host @ queue ) ),
inference(simp,[status(thm)],[6047]) ).
thf(7085,plain,
! [B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( sk7 @ m_Down @ ( B @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) )
!= ( sk2 @ host @ queue ) ) ),
inference(paramod_ordered,[status(thm)],[408,6093]) ).
thf(7086,plain,
( ( q_nil @ ( sk7 @ m_Down @ cons ) )
!= ( sk2 @ host @ queue ) ),
inference(pattern_uni,[status(thm)],[7085:[bind(A,$thf( sk7 @ m_Down )),bind(B,$thf( q_nil ))]]) ).
thf(97,plain,
! [A: $i] :
( ( ( A @ host @ ( elid @ index ) )
= A )
| ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(133,plain,
! [A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( elid @ index ) )
= A )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(lifteq,[status(thm)],[97]) ).
thf(134,plain,
! [A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( elid @ index ) )
= A )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(simp,[status(thm)],[133]) ).
thf(74,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( D @ host @ ( down @ index ) @ ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(127,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( D @ host @ ( down @ index ) @ ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ setIn ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) ) ),
inference(lifteq,[status(thm)],[74]) ).
thf(128,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( D @ host @ ( down @ index ) @ ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ setIn ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) ) ),
inference(simp,[status(thm)],[127]) ).
thf(5349,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( B @ ( A @ cons ) ) )
| ( sk2 @ host @ queue @ ( A @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[157,287]) ).
thf(5350,plain,
sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ),
inference(pattern_uni,[status(thm)],[5349:[bind(A,$thf( sk3 @ m_Down )),bind(B,$thf( sk1 ))]]) ).
thf(5897,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) )
!= ( A @ host @ queue @ ( B @ m_Down @ elem ) ) )
| ~ $true
| ( ( B @ host )
!= ( A @ host ) ) ),
inference(paramod_ordered,[status(thm)],[5350,140]) ).
thf(5898,plain,
! [B: $i,A: $i] :
( ( ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) )
!= ( A @ host @ queue @ ( B @ m_Down @ elem ) ) )
| ( ( B @ host )
!= ( A @ host ) ) ),
inference(simp,[status(thm)],[5897]) ).
thf(5899,plain,
( ( sk3 @ host )
!= ( sk2 @ host ) ),
inference(pattern_uni,[status(thm)],[5898:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 ))]]) ).
thf(5963,plain,
( ( ( sk3 @ host )
!= ( sk3 @ host ) )
| ( ( sk2 @ host )
!= elec_2 )
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[595,5899]) ).
thf(5964,plain,
( ( ( sk2 @ host )
!= elec_2 )
| ( pendack != status ) ),
inference(pattern_uni,[status(thm)],[5963:[]]) ).
thf(98,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( A @ host @ queue @ ( D @ m_Down @ elem ) )
| ( ( D @ host )
!= ( C @ host ) )
| ( ( B @ host )
!= ( A @ host ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host )
= ( A @ host ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(147,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( A @ host @ queue @ ( D @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( D @ host )
!= ( C @ host ) )
| ( ( B @ host )
!= ( A @ host ) )
| ( ( C @ host )
= ( A @ host ) ) ),
inference(lifteq,[status(thm)],[98]) ).
thf(148,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( A @ host @ queue @ ( D @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( D @ host )
!= ( C @ host ) )
| ( ( B @ host )
!= ( A @ host ) )
| ( ( C @ host )
= ( A @ host ) ) ),
inference(simp,[status(thm)],[147]) ).
thf(544,plain,
( ( ( sk2 @ host @ ( acks @ index ) )
!= ( sk2 @ host @ ( status @ index ) ) )
| ~ ( elec_2 @ ( sk6 @ host @ setIn ) ) ),
inference(paramod_ordered,[status(thm)],[135,110]) ).
thf(547,plain,
( ( ( sk2 @ host )
!= ( sk2 @ host ) )
| ( acks != status )
| ~ ( elec_2 @ ( sk6 @ host @ setIn ) ) ),
inference(simp,[status(thm)],[544]) ).
thf(549,plain,
( ( acks != status )
| ~ ( elec_2 @ ( sk6 @ host @ setIn ) ) ),
inference(simp,[status(thm)],[547]) ).
thf(568,plain,
( ( ( elec_2 @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk7 @ setIn ) ) )
| ( acks != status )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[111,549]) ).
thf(569,plain,
( ( ( elec_2 @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk7 @ setIn ) ) )
| ( acks != status ) ),
inference(simp,[status(thm)],[568]) ).
thf(573,plain,
( ( elec_2 != alive )
| ( ( sk6 @ host )
!= sk7 )
| ( acks != status ) ),
inference(simp,[status(thm)],[569]) ).
thf(193,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ last )
= A ),
inference(cnf,[status(esa)],[192]) ).
thf(194,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ last )
= A ),
inference(lifteq,[status(thm)],[193]) ).
thf(3254,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( B @ ( C @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) @ last )
= B ) ),
inference(paramod_ordered,[status(thm)],[408,194]) ).
thf(3255,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) @ last )
= A ),
inference(pattern_uni,[status(thm)],[3254:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(101,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ host @ ( status @ index ) )
!= norm )
| ( ( D @ host @ ( ldr @ index ) )
!= ( D @ host ) )
| ~ ( alive @ ( D @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host )
!= ( C @ host @ s ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( C @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( A @ ( B @ ( C @ sk5 ) ) @ ( C @ host @ leq ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(117,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( alive @ ( D @ setIn ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( C @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( A @ ( B @ ( C @ sk5 ) ) @ ( C @ host @ leq ) )
| ( ( D @ host @ ( status @ index ) )
!= norm )
| ( ( D @ host @ ( ldr @ index ) )
!= ( D @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host )
!= ( C @ host @ s ) ) ),
inference(lifteq,[status(thm)],[101]) ).
thf(118,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( alive @ ( D @ setIn ) )
| ~ ( C @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( C @ host @ s @ ( nbr_proc @ leq ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( A @ ( B @ ( C @ sk5 ) ) @ ( C @ host @ leq ) )
| ( ( D @ host @ ( status @ index ) )
!= norm )
| ( ( D @ host @ ( ldr @ index ) )
!= ( D @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host )
!= ( C @ host @ s ) ) ),
inference(simp,[status(thm)],[117]) ).
thf(190,plain,
! [A: $i] :
( ( A @ m_Halt @ pidMsg )
= A ),
inference(cnf,[status(esa)],[189]) ).
thf(191,plain,
! [A: $i] :
( ( A @ m_Halt @ pidMsg )
= A ),
inference(lifteq,[status(thm)],[190]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( ( A @ host )
!= ( B @ host ) )
=> ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(402,plain,
! [A: $i,B: $i] :
( ( ( A @ host )
!= ( B @ host ) )
=> ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(1406,plain,
! [B: $i,A: $i] :
( ( ( nbr_proc @ ( A @ host @ leq ) )
!= ( B @ ( B @ s @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[242,418]) ).
thf(1407,plain,
! [B: $i,A: $i] :
( ( nbr_proc @ ( A @ host @ leq ) )
!= ( B @ ( B @ s @ leq ) ) ),
inference(simp,[status(thm)],[1406]) ).
thf(1415,plain,
! [B: $i,A: $i] :
( ( nbr_proc != B )
| ( ( A @ host )
!= ( B @ s ) ) ),
inference(simp,[status(thm)],[1407]) ).
thf(1428,plain,
! [A: $i] :
( ( A @ host )
!= ( nbr_proc @ s ) ),
inference(simp,[status(thm)],[1415]) ).
thf(5957,plain,
( ( ( sk7 @ host )
!= ( sk3 @ host ) )
| ( ( sk2 @ host )
!= ( sk2 @ host ) ) ),
inference(paramod_ordered,[status(thm)],[160,5899]) ).
thf(5958,plain,
( ( sk7 @ host )
!= ( sk3 @ host ) ),
inference(simp,[status(thm)],[5957]) ).
thf(5965,plain,
sk7 != sk3,
inference(simp,[status(thm)],[5958]) ).
thf(566,plain,
( ( ( elec_2 @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk10 @ setIn ) ) )
| ( acks != status )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[107,549]) ).
thf(567,plain,
( ( ( elec_2 @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk10 @ setIn ) ) )
| ( acks != status ) ),
inference(simp,[status(thm)],[566]) ).
thf(572,plain,
( ( elec_2 != alive )
| ( ( sk6 @ host )
!= sk10 )
| ( acks != status ) ),
inference(simp,[status(thm)],[567]) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ host @ ( C @ host @ ( pendack @ index ) @ leq ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_2 )
| ( ( C @ host )
!= ( B @ host ) )
| ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(143,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ host @ ( C @ host @ ( pendack @ index ) @ leq ) )
| ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_2 )
| ( ( C @ host )
!= ( B @ host ) ) ),
inference(lifteq,[status(thm)],[81]) ).
thf(144,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ host @ ( C @ host @ ( pendack @ index ) @ leq ) )
| ~ ( A @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_2 )
| ( ( C @ host )
!= ( B @ host ) ) ),
inference(simp,[status(thm)],[143]) ).
thf(66,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(466,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(5361,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[287,3225]) ).
thf(5362,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[5361]) ).
thf(5389,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ cons ) )
!= ( sk2 @ host @ queue ) )
| ( A
!= ( sk7 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[5362]) ).
thf(5432,plain,
! [A: $i] :
( ( A @ ( sk7 @ m_Ldr @ cons ) )
!= ( sk2 @ host @ queue ) ),
inference(simp,[status(thm)],[5389]) ).
thf(80,plain,
! [B: $i,A: $i] :
( ( A @ host @ ( B @ host @ ( pendack @ index ) @ leq ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 )
| ~ ( A @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(112,plain,
! [B: $i,A: $i] :
( ( A @ host @ ( B @ host @ ( pendack @ index ) @ leq ) )
| ~ ( A @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(lifteq,[status(thm)],[80]) ).
thf(113,plain,
! [B: $i,A: $i] :
( ( A @ host @ ( B @ host @ ( pendack @ index ) @ leq ) )
| ~ ( A @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(simp,[status(thm)],[112]) ).
thf(13,axiom,
q_nil @ ordered,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(219,plain,
q_nil @ ordered,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(58,axiom,
! [A: $i] :
( ( A
= ( A @ tail @ ( A @ head @ cons ) ) )
| ( A = q_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
thf(419,plain,
! [A: $i] :
( ( A
= ( A @ tail @ ( A @ head @ cons ) ) )
| ( A = q_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C != D )
=> ( ( C @ ( A @ m_Ack ) )
!= ( D @ ( B @ m_Ack ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
thf(230,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C != D )
=> ( ( C @ ( A @ m_Ack ) )
!= ( D @ ( B @ m_Ack ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(42,axiom,
! [A: $i] : ( A @ ( A @ leq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
thf(362,plain,
! [A: $i] : ( A @ ( A @ leq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(487,plain,
( ( ( alive @ ( sk10 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[107,228]) ).
thf(488,plain,
( ( alive @ ( sk10 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) ),
inference(simp,[status(thm)],[487]) ).
thf(491,plain,
( ( alive != alive )
| ( sk10 != nil ) ),
inference(simp,[status(thm)],[488]) ).
thf(494,plain,
sk10 != nil,
inference(simp,[status(thm)],[491]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NormQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
thf(367,plain,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NormQ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(7112,plain,
! [B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( sk7 @ m_Ldr @ ( B @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) )
!= ( sk2 @ host @ queue ) ) ),
inference(paramod_ordered,[status(thm)],[408,6095]) ).
thf(7113,plain,
( ( q_nil @ ( sk7 @ m_Ldr @ cons ) )
!= ( sk2 @ host @ queue ) ),
inference(pattern_uni,[status(thm)],[7112:[bind(A,$thf( sk7 @ m_Ldr )),bind(B,$thf( q_nil ))]]) ).
thf(79,plain,
sk10 @ host @ queue @ ( sk8 @ m_Down @ elem ),
inference(cnfConj,[status(thm)],[71]) ).
thf(574,plain,
! [A: $i] :
( ( ( sk10 @ host @ queue @ ( sk8 @ m_Down @ elem ) )
!= ( q_nil @ ( A @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[79,438]) ).
thf(575,plain,
! [A: $i] :
( ( sk10 @ host @ queue @ ( sk8 @ m_Down @ elem ) )
!= ( q_nil @ ( A @ elem ) ) ),
inference(simp,[status(thm)],[574]) ).
thf(578,plain,
! [A: $i] :
( ( ( sk10 @ host @ queue )
!= q_nil )
| ( ( sk8 @ m_Down )
!= A ) ),
inference(simp,[status(thm)],[575]) ).
thf(580,plain,
( ( sk10 @ host @ queue )
!= q_nil ),
inference(simp,[status(thm)],[578]) ).
thf(652,plain,
( ( ( sk10 @ host )
!= ( sk3 @ host ) )
| ( ( elec_2 @ queue )
!= q_nil )
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[595,580]) ).
thf(685,plain,
( ( sk10 != sk3 )
| ( ( elec_2 @ queue )
!= q_nil )
| ( pendack != status ) ),
inference(simp,[status(thm)],[652]) ).
thf(85,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( A @ host @ queue @ ( D @ m_Down @ elem ) )
| ( ( D @ host )
!= ( C @ host ) )
| ( ( B @ host )
!= ( A @ host ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host )
= ( A @ host ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(129,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( A @ host @ queue @ ( D @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( D @ host )
!= ( C @ host ) )
| ( ( B @ host )
!= ( A @ host ) )
| ( ( C @ host )
= ( A @ host ) ) ),
inference(lifteq,[status(thm)],[85]) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ~ ( A @ host @ queue @ ( D @ m_Down @ elem ) )
| ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( D @ host )
!= ( C @ host ) )
| ( ( B @ host )
!= ( A @ host ) )
| ( ( C @ host )
= ( A @ host ) ) ),
inference(simp,[status(thm)],[129]) ).
thf(221,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_NormQ )
= ( B @ m_Halt ) ),
inference(miniscope,[status(thm)],[220]) ).
thf(222,plain,
! [B: $i,A: $i] :
( ( A @ m_NormQ )
!= ( B @ m_Halt ) ),
inference(cnf,[status(esa)],[221]) ).
thf(223,plain,
! [B: $i,A: $i] :
( ( A @ m_NormQ )
!= ( B @ m_Halt ) ),
inference(lifteq,[status(thm)],[222]) ).
thf(294,plain,
! [B: $i,A: $i] :
( ( A @ pidElem )
| ( A
!= ( B @ m_Down ) ) ),
inference(cnfConj,[status(thm)],[291]) ).
thf(298,plain,
! [B: $i,A: $i] :
( ( A @ pidElem )
| ( A
!= ( B @ m_Down ) ) ),
inference(lifteq,[status(thm)],[294]) ).
thf(299,plain,
! [A: $i] : ( A @ m_Down @ pidElem ),
inference(simp,[status(thm)],[298]) ).
thf(225,plain,
elec_1 != wait,
inference(polarity_switch,[status(thm)],[224]) ).
thf(226,plain,
wait != elec_1,
inference(lifteq,[status(thm)],[225]) ).
thf(2692,plain,
! [A: $i] :
( ( ( sk10 @ host @ s )
!= ( A @ host @ s ) )
| ( ( zero @ s )
!= ( sk8 @ host ) ) ),
inference(paramod_ordered,[status(thm)],[126,1423]) ).
thf(2693,plain,
( ( zero @ s )
!= ( sk8 @ host ) ),
inference(pattern_uni,[status(thm)],[2692:[bind(A,$thf( sk10 ))]]) ).
thf(52,axiom,
norm != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(399,plain,
norm != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(5254,plain,
sk10 != sk9,
inference(simp,[status(thm)],[5233]) ).
thf(5952,plain,
sk3 != sk2,
inference(simp,[status(thm)],[5899]) ).
thf(78,plain,
! [B: $i,A: $i] :
( ~ ( A @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ~ ( alive @ ( B @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(122,plain,
! [B: $i,A: $i] :
( ~ ( A @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( alive @ ( B @ setIn ) )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm ) ),
inference(lifteq,[status(thm)],[78]) ).
thf(123,plain,
! [B: $i,A: $i] :
( ~ ( A @ host @ ( down @ index ) @ ( B @ host @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( alive @ ( B @ setIn ) )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm ) ),
inference(simp,[status(thm)],[122]) ).
thf(5351,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk3 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[287,602]) ).
thf(5352,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk3 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[5351]) ).
thf(5402,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ cons ) )
!= ( sk2 @ host @ queue ) )
| ( A
!= ( sk3 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[5352]) ).
thf(5446,plain,
! [A: $i] :
( ( A @ ( sk3 @ m_Ldr @ cons ) )
!= ( sk2 @ host @ queue ) ),
inference(simp,[status(thm)],[5402]) ).
thf(520,plain,
( ( ( sk2 @ host @ ( acks @ index ) @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk7 @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[111,110]) ).
thf(521,plain,
( ( sk2 @ host @ ( acks @ index ) @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk7 @ setIn ) ) ),
inference(simp,[status(thm)],[520]) ).
thf(525,plain,
( ( ( sk2 @ host @ ( acks @ index ) )
!= alive )
| ( ( sk6 @ host )
!= sk7 ) ),
inference(simp,[status(thm)],[521]) ).
thf(103,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ ( zero @ s @ leq ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(149,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ ( zero @ s @ leq ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) ) ),
inference(lifteq,[status(thm)],[103]) ).
thf(150,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ ( zero @ s @ leq ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) ) ),
inference(simp,[status(thm)],[149]) ).
thf(5900,plain,
( ( ( sk2 @ host @ queue @ ( sk7 @ m_Down @ elem ) )
!= ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5350,5286]) ).
thf(5901,plain,
( ( sk2 @ host @ queue @ ( sk7 @ m_Down @ elem ) )
!= ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) ) ),
inference(simp,[status(thm)],[5900]) ).
thf(5925,plain,
( ( ( sk2 @ host @ queue )
!= ( sk2 @ host @ queue ) )
| ( ( sk7 @ m_Down )
!= ( sk3 @ m_Down ) ) ),
inference(simp,[status(thm)],[5901]) ).
thf(5944,plain,
( ( sk7 @ m_Down )
!= ( sk3 @ m_Down ) ),
inference(simp,[status(thm)],[5925]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ leq ) )
<=> ( B @ s @ ( A @ s @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
thf(263,plain,
! [A: $i,B: $i] :
( ( ( B @ s @ ( A @ s @ leq ) )
=> ( B @ ( A @ leq ) ) )
& ( ( B @ ( A @ leq ) )
=> ( B @ s @ ( A @ s @ leq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(368,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Ldr )
= ( B @ m_NormQ ) ),
inference(miniscope,[status(thm)],[367]) ).
thf(369,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NormQ ) ),
inference(cnf,[status(esa)],[368]) ).
thf(370,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NormQ ) ),
inference(lifteq,[status(thm)],[369]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ ordered )
<=> ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( C @ pidMsg @ ( A @ pidMsg @ leq ) ) )
& ( B @ ordered ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(338,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( C @ pidMsg @ ( A @ pidMsg @ leq ) ) )
& ( B @ ordered ) )
=> ( B @ ( A @ cons ) @ ordered ) )
& ( ( B @ ( A @ cons ) @ ordered )
=> ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( C @ pidMsg @ ( A @ pidMsg @ leq ) ) )
& ( B @ ordered ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(5889,plain,
( ( ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5350,3225]) ).
thf(5890,plain,
( ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[5889]) ).
thf(5931,plain,
( ( ( sk2 @ host @ queue )
!= ( sk2 @ host @ queue ) )
| ( ( sk3 @ m_Down )
!= ( sk7 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[5890]) ).
thf(5949,plain,
( ( sk3 @ m_Down )
!= ( sk7 @ m_Ldr ) ),
inference(simp,[status(thm)],[5931]) ).
thf(1386,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( sk3 @ host @ ( nbr_proc @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[582,418]) ).
thf(1387,plain,
! [A: $i] :
( ( A @ ( A @ s @ leq ) )
!= ( sk3 @ host @ ( nbr_proc @ leq ) ) ),
inference(simp,[status(thm)],[1386]) ).
thf(1414,plain,
! [A: $i] :
( ( A
!= ( sk3 @ host ) )
| ( ( A @ s )
!= nbr_proc ) ),
inference(simp,[status(thm)],[1387]) ).
thf(1427,plain,
( ( sk3 @ host @ s )
!= nbr_proc ),
inference(simp,[status(thm)],[1414]) ).
thf(564,plain,
( ( ( elec_2 @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk2 @ setIn ) ) )
| ( acks != status )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[75,549]) ).
thf(565,plain,
( ( ( elec_2 @ ( sk6 @ host @ setIn ) )
!= ( alive @ ( sk2 @ setIn ) ) )
| ( acks != status ) ),
inference(simp,[status(thm)],[564]) ).
thf(571,plain,
( ( elec_2 != alive )
| ( ( sk6 @ host )
!= sk2 )
| ( acks != status ) ),
inference(simp,[status(thm)],[565]) ).
thf(2694,plain,
( ( ( sk10 @ host @ s )
!= ( zero @ s ) )
| ( ( sk8 @ host )
!= ( sk8 @ host ) ) ),
inference(paramod_ordered,[status(thm)],[126,2693]) ).
thf(2695,plain,
( ( sk10 @ host @ s )
!= ( zero @ s ) ),
inference(simp,[status(thm)],[2694]) ).
thf(2696,plain,
( ( sk10 @ host )
!= zero ),
inference(simp,[status(thm)],[2695]) ).
thf(480,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Down )
= ( B @ m_Ldr ) ),
inference(miniscope,[status(thm)],[479]) ).
thf(481,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_Ldr ) ),
inference(cnf,[status(esa)],[480]) ).
thf(482,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_Ldr ) ),
inference(lifteq,[status(thm)],[481]) ).
thf(495,plain,
sk10 != sk2,
inference(simp,[status(thm)],[121]) ).
thf(180,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) ) ) ),
inference(miniscope,[status(thm)],[179]) ).
thf(181,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_NormQ )
= ( D @ m_NormQ ) ) )
& ( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[180]) ).
thf(182,plain,
! [B: $i,A: $i] :
( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[181]) ).
thf(184,plain,
! [B: $i,A: $i] :
( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[182]) ).
thf(185,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_NormQ @ A )
= B ),
inference(detectInverse,[status(thm)],[184]) ).
thf(186,plain,
! [A: $i] :
( ( A @ m_NormQ @ sk12 )
= A ),
inference(cnf,[status(esa)],[185]) ).
thf(1448,plain,
! [A: $i] :
( ( A @ m_NormQ @ sk12 )
= A ),
inference(lifteq,[status(thm)],[186]) ).
thf(1989,plain,
! [A: $i] :
( ( ( sk10 @ host @ s )
!= ( nbr_proc @ s ) )
| ( ( sk8 @ host )
!= ( A @ host ) ) ),
inference(paramod_ordered,[status(thm)],[126,1428]) ).
thf(1992,plain,
! [A: $i] :
( ( ( sk10 @ host )
!= nbr_proc )
| ( sk8 != A ) ),
inference(simp,[status(thm)],[1989]) ).
thf(1994,plain,
( ( sk10 @ host )
!= nbr_proc ),
inference(simp,[status(thm)],[1992]) ).
thf(1996,plain,
( ( ( sk10 @ host )
!= ( sk3 @ host ) )
| ( nbr_proc != elec_2 )
| ( pendack != status ) ),
inference(paramod_ordered,[status(thm)],[595,1994]) ).
thf(1998,plain,
( ( sk10 != sk3 )
| ( nbr_proc != elec_2 )
| ( pendack != status ) ),
inference(simp,[status(thm)],[1996]) ).
thf(2707,plain,
( ( sk2 @ host )
!= zero ),
inference(simp,[status(thm)],[2685]) ).
thf(400,plain,
norm != wait,
inference(polarity_switch,[status(thm)],[399]) ).
thf(401,plain,
wait != norm,
inference(lifteq,[status(thm)],[400]) ).
thf(467,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) ) ) ),
inference(miniscope,[status(thm)],[466]) ).
thf(468,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_Ldr )
= ( D @ m_Ldr ) ) )
& ( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[467]) ).
thf(469,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[468]) ).
thf(471,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[469]) ).
thf(472,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_Ldr @ A )
= B ),
inference(detectInverse,[status(thm)],[471]) ).
thf(473,plain,
! [A: $i] :
( ( A @ m_Ldr @ sk21 )
= A ),
inference(cnf,[status(esa)],[472]) ).
thf(3003,plain,
! [A: $i] :
( ( A @ m_Ldr @ sk21 )
= A ),
inference(lifteq,[status(thm)],[473]) ).
thf(7124,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( B @ ( A @ cons ) ) )
| ( ( sk2 @ host @ queue @ head )
= A ) ),
inference(paramod_ordered,[status(thm)],[157,428]) ).
thf(7125,plain,
( ( sk2 @ host @ queue @ head )
= ( sk3 @ m_Down ) ),
inference(pattern_uni,[status(thm)],[7124:[bind(A,$thf( sk3 @ m_Down )),bind(B,$thf( sk1 ))]]) ).
thf(9382,plain,
( ( ( sk10 @ host @ queue @ ( sk9 @ m_Down @ elem ) )
!= ( sk10 @ host @ queue @ ( sk8 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[83,9278]) ).
thf(9383,plain,
( ( sk10 @ host @ queue @ ( sk9 @ m_Down @ elem ) )
!= ( sk10 @ host @ queue @ ( sk8 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[9382]) ).
thf(9384,plain,
( ( ( sk10 @ host @ queue )
!= ( sk10 @ host @ queue ) )
| ( ( sk9 @ m_Down )
!= ( sk8 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[9383]) ).
thf(9393,plain,
( ( sk9 @ m_Down )
!= ( sk8 @ m_Ldr ) ),
inference(simp,[status(thm)],[9384]) ).
thf(270,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Down )
= ( B @ m_Halt ) ),
inference(miniscope,[status(thm)],[269]) ).
thf(271,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_Halt ) ),
inference(cnf,[status(esa)],[270]) ).
thf(272,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_Halt ) ),
inference(lifteq,[status(thm)],[271]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ ( A @ cons ) @ snoc ) )
= ( B @ ( C @ snoc ) @ ( A @ cons ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(383,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ ( A @ cons ) @ snoc ) )
= ( B @ ( C @ snoc ) @ ( A @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(527,plain,
! [A: $i] :
( ( ( alive @ ( sk2 @ setIn ) )
!= ( setEmpty @ ( A @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[75,256]) ).
thf(528,plain,
! [A: $i] :
( ( alive @ ( sk2 @ setIn ) )
!= ( setEmpty @ ( A @ setIn ) ) ),
inference(simp,[status(thm)],[527]) ).
thf(533,plain,
! [A: $i] :
( ( setEmpty != alive )
| ( sk2 != A ) ),
inference(simp,[status(thm)],[528]) ).
thf(536,plain,
setEmpty != alive,
inference(simp,[status(thm)],[533]) ).
thf(244,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Down )
= ( B @ m_NotNorm ) ),
inference(miniscope,[status(thm)],[243]) ).
thf(245,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_NotNorm ) ),
inference(cnf,[status(esa)],[244]) ).
thf(246,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_NotNorm ) ),
inference(lifteq,[status(thm)],[245]) ).
thf(1990,plain,
! [A: $i] :
( ( ( sk10 @ host @ s )
!= ( nbr_proc @ s ) )
| ( sk8 != A ) ),
inference(simp,[status(thm)],[1989]) ).
thf(1993,plain,
( ( sk10 @ host @ s )
!= ( nbr_proc @ s ) ),
inference(simp,[status(thm)],[1990]) ).
thf(2003,plain,
( ( nbr_proc @ s )
!= ( sk8 @ host ) ),
inference(rewrite,[status(thm)],[1993,126]) ).
thf(62,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Ldr ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(432,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Ldr ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(166,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_NotNorm )
= ( B @ m_Halt ) ),
inference(miniscope,[status(thm)],[165]) ).
thf(167,plain,
! [B: $i,A: $i] :
( ( A @ m_NotNorm )
!= ( B @ m_Halt ) ),
inference(cnf,[status(esa)],[166]) ).
thf(168,plain,
! [B: $i,A: $i] :
( ( A @ m_NotNorm )
!= ( B @ m_Halt ) ),
inference(lifteq,[status(thm)],[167]) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ ( D @ host @ leq ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(145,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ ( D @ host @ leq ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) ) ),
inference(lifteq,[status(thm)],[76]) ).
thf(146,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
| ~ ( D @ host @ queue @ ( C @ m_Down @ elem ) )
| ~ ( D @ host @ ( A @ host @ leq ) )
| ~ ( alive @ ( A @ setIn ) )
| ~ ( A @ ( B @ ( C @ ( D @ sk4 ) ) ) @ ( D @ host @ leq ) )
| ( ( D @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 )
| ( ( B @ host )
!= ( D @ host ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(5369,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Down @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[287,5286]) ).
thf(5370,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk7 @ m_Down @ elem ) ) ),
inference(simp,[status(thm)],[5369]) ).
thf(5387,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ cons ) )
!= ( sk2 @ host @ queue ) )
| ( A
!= ( sk7 @ m_Down ) ) ),
inference(simp,[status(thm)],[5370]) ).
thf(5430,plain,
! [A: $i] :
( ( A @ ( sk7 @ m_Down @ cons ) )
!= ( sk2 @ host @ queue ) ),
inference(simp,[status(thm)],[5387]) ).
thf(1985,plain,
! [A: $i] :
( ( ( sk7 @ host )
!= ( A @ host ) )
| ( ( nbr_proc @ s )
!= ( sk2 @ host ) ) ),
inference(paramod_ordered,[status(thm)],[160,1428]) ).
thf(1986,plain,
( ( nbr_proc @ s )
!= ( sk2 @ host ) ),
inference(pattern_uni,[status(thm)],[1985:[bind(A,$thf( sk7 ))]]) ).
thf(59,axiom,
! [A: $i,B: $i] :
( ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
=> ( ( pids @ ( B @ setIn ) )
& ( pids @ ( A @ setIn ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
thf(422,plain,
! [A: $i,B: $i] :
( ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
=> ( ( pids @ ( B @ setIn ) )
& ( pids @ ( A @ setIn ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(8488,plain,
! [B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( sk3 @ m_Ldr @ ( B @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) )
!= ( sk2 @ host @ queue ) ) ),
inference(paramod_ordered,[status(thm)],[408,6097]) ).
thf(8489,plain,
( ( q_nil @ ( sk3 @ m_Ldr @ cons ) )
!= ( sk2 @ host @ queue ) ),
inference(pattern_uni,[status(thm)],[8488:[bind(A,$thf( sk3 @ m_Ldr )),bind(B,$thf( q_nil ))]]) ).
thf(77,plain,
( ( sk10 @ host @ ( status @ index ) )
= elec_1 ),
inference(cnfConj,[status(thm)],[71]) ).
thf(136,plain,
( ( sk10 @ host @ ( status @ index ) )
= elec_1 ),
inference(lifteq,[status(thm)],[77]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(358,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(9176,plain,
! [A: $i] :
( ( ( A @ s @ ( A @ leq ) )
!= ( sk10 @ host @ ( sk8 @ host @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[8546,1409]) ).
thf(9177,plain,
! [A: $i] :
( ( A @ s @ ( A @ leq ) )
!= ( sk10 @ host @ ( sk8 @ host @ leq ) ) ),
inference(simp,[status(thm)],[9176]) ).
thf(9207,plain,
! [A: $i] :
( ( ( A @ s )
!= ( sk10 @ host ) )
| ( A
!= ( sk8 @ host ) ) ),
inference(simp,[status(thm)],[9177]) ).
thf(9235,plain,
( ( sk8 @ host @ s )
!= ( sk10 @ host ) ),
inference(simp,[status(thm)],[9207]) ).
thf(5150,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( B @ ( A @ cons ) ) )
| ( ( sk2 @ host @ queue @ tail )
= B ) ),
inference(paramod_ordered,[status(thm)],[157,275]) ).
thf(5151,plain,
( ( sk2 @ host @ queue @ tail )
= sk1 ),
inference(pattern_uni,[status(thm)],[5150:[bind(A,$thf( sk3 @ m_Down )),bind(B,$thf( sk1 ))]]) ).
thf(583,plain,
( ( ( sk2 @ host @ ( acks @ index ) )
!= ( sk2 @ host @ ( pendack @ index ) ) )
| ~ ( sk3 @ host @ ( sk6 @ host @ setIn ) ) ),
inference(paramod_ordered,[status(thm)],[114,110]) ).
thf(590,plain,
( ( ( sk2 @ host )
!= ( sk2 @ host ) )
| ( acks != pendack )
| ~ ( sk3 @ host @ ( sk6 @ host @ setIn ) ) ),
inference(simp,[status(thm)],[583]) ).
thf(596,plain,
( ( acks != pendack )
| ~ ( sk3 @ host @ ( sk6 @ host @ setIn ) ) ),
inference(simp,[status(thm)],[590]) ).
thf(1384,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( B @ ( B @ s @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[308,418]) ).
thf(1385,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ leq ) )
!= ( B @ ( B @ s @ leq ) ) ),
inference(simp,[status(thm)],[1384]) ).
thf(1418,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( A
!= ( B @ s ) ) ),
inference(simp,[status(thm)],[1385]) ).
thf(1431,plain,
! [A: $i] :
( ( A @ s )
!= A ),
inference(simp,[status(thm)],[1418]) ).
thf(5875,plain,
( ( ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) )
!= ( sk2 @ host @ queue @ ( sk3 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5350,602]) ).
thf(5876,plain,
( ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) )
!= ( sk2 @ host @ queue @ ( sk3 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[5875]) ).
thf(5924,plain,
( ( ( sk2 @ host @ queue )
!= ( sk2 @ host @ queue ) )
| ( ( sk3 @ m_Down )
!= ( sk3 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[5876]) ).
thf(5943,plain,
( ( sk3 @ m_Down )
!= ( sk3 @ m_Ldr ) ),
inference(simp,[status(thm)],[5924]) ).
thf(5072,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( B @ ( C @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) @ init )
= C ) ),
inference(paramod_ordered,[status(thm)],[408,201]) ).
thf(5073,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) @ init )
= q_nil ),
inference(pattern_uni,[status(thm)],[5072:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(213,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_NormQ )
= ( B @ m_NotNorm ) ),
inference(miniscope,[status(thm)],[212]) ).
thf(214,plain,
! [B: $i,A: $i] :
( ( A @ m_NormQ )
!= ( B @ m_NotNorm ) ),
inference(cnf,[status(esa)],[213]) ).
thf(215,plain,
! [B: $i,A: $i] :
( ( A @ m_NormQ )
!= ( B @ m_NotNorm ) ),
inference(lifteq,[status(thm)],[214]) ).
thf(43,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ordered )
=> ( C @ ( B @ m_Ack ) @ ( A @ snoc ) @ ordered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
thf(364,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ordered )
=> ( C @ ( B @ m_Ack ) @ ( A @ snoc ) @ ordered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(6023,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( q_nil @ ( C @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[379,438]) ).
thf(6024,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( q_nil @ ( C @ elem ) ) ),
inference(simp,[status(thm)],[6023]) ).
thf(6048,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) )
!= q_nil )
| ( A != C ) ),
inference(simp,[status(thm)],[6024]) ).
thf(6094,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ snoc ) )
!= q_nil ),
inference(simp,[status(thm)],[6048]) ).
thf(11179,plain,
$false,
inference(e,[status(thm)],[69,1718,138,479,333,249,5444,408,276,308,379,269,202,523,582,120,247,1426,550,142,9278,1497,1705,5252,5123,782,8546,436,257,389,1409,1430,2039,6095,110,125,357,157,189,416,325,9199,228,289,2007,216,492,179,321,253,238,121,602,397,1377,132,396,411,1433,428,116,243,439,201,381,220,334,160,392,297,192,429,165,275,788,1423,229,493,456,324,224,650,2685,1425,169,5233,499,3000,476,212,328,256,1424,3010,393,6097,1266,7086,1715,371,134,1434,128,3225,311,5964,412,148,279,573,3255,118,5350,191,402,1428,5965,382,572,144,466,5432,540,86,406,113,219,419,230,362,509,494,367,7113,140,5286,91,240,198,685,130,223,135,299,226,1496,438,241,2693,399,5254,426,5952,123,355,194,5446,525,580,150,5944,409,263,199,1432,331,370,6093,338,5949,1427,386,571,595,859,250,2696,482,671,495,1448,1998,2707,5899,390,114,401,3003,418,7125,75,9393,272,383,549,1994,536,287,235,246,2003,300,2683,432,168,146,5430,1986,422,273,8489,107,195,415,239,242,126,136,358,79,9235,5151,596,1431,111,5943,5073,83,215,364,6094,254,227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV480+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.22/0.49 % Computer : n026.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.49 % CPULimit : 300
% 0.22/0.49 % WCLimit : 300
% 0.22/0.49 % DateTime : Sat Sep 26 13:59:55 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.99/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.69/1.24 % [INFO] Parsing done (230ms).
% 1.69/1.25 % [INFO] Running in sequential loop mode.
% 3.15/1.61 % [INFO] eprover registered as external prover.
% 3.15/1.62 % [INFO] Scanning for conjecture ...
% 3.71/1.85 % [INFO] Found a conjecture (or negated_conjecture) and 66 axioms. Running axiom selection ...
% 3.98/2.00 % [INFO] Axiom selection finished. Selected 66 axioms (removed 0 axioms).
% 3.98/2.05 % [INFO] Problem is first-order (TPTP FOF).
% 4.47/2.07 % [INFO] Type checking passed.
% 4.47/2.07 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 103.57/21.98 % External prover 'e' found a proof!
% 103.57/21.98 % [INFO] Killing All external provers ...
% 103.57/21.98 % Time passed: 21354ms (effective reasoning time: 20728ms)
% 103.57/21.98 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 103.57/21.99 % Axioms used in derivation (66): axiom_44, axiom_09, axiom_54, axiom_64, axiom_20, axiom_57, axiom_53, axiom_17, axiom_14, axiom_37, axiom_26, axiom_55, axiom_08, axiom_33, axiom_10, axiom_40, axiom_22, axiom_59, axiom_49, axiom_15, axiom_51, axiom_04, axiom_21, axiom_19, axiom_63, axiom_38, axiom_43, axiom_27, axiom_32, axiom_60, axiom_16, axiom_50, axiom_05, axiom_46, axiom_42, axiom_31, axiom_24, axiom_61, axiom_06, axiom_35, axiom_28, axiom, axiom_65, axiom_36, axiom_02, axiom_39, axiom_47, axiom_13, axiom_41, axiom_25, axiom_52, axiom_34, axiom_58, axiom_62, axiom_45, axiom_29, axiom_11, axiom_56, axiom_07, axiom_30, axiom_23, axiom_01, axiom_18, axiom_12, axiom_03, axiom_48
% 103.57/21.99 % No. of inferences in proof: 604
% 103.57/21.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 21354 ms resp. 20728 ms w/o parsing
% 107.35/22.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 107.35/22.54 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------