TSTP Solution File: SWV473+1 by Leo-III---1.7.15
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SWV473+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 17:24:21 EDT 2024
% Result : Theorem 249.09s 72.03s
% Output : Refutation 249.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 73
% Syntax : Number of formulae : 539 ( 322 unt; 0 typ; 0 def)
% Number of atoms : 1350 ( 819 equ; 0 cnn)
% Maximal formula atoms : 67 ( 2 avg)
% Number of connectives : 4858 ( 745 ~; 334 |; 238 &;3388 @)
% ( 13 <=>; 140 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 53 usr; 25 con; 0-4 aty)
% Number of variables : 938 ( 0 ^ 888 !; 50 ?; 938 :)
% Comments :
%------------------------------------------------------------------------------
thf(elem_type,type,
elem: $i > $i > $o ).
thf(m_Ldr_type,type,
m_Ldr: $i > $i ).
thf(queue_type,type,
queue: $i > $i ).
thf(host_type,type,
host: $i > $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(m_Down_type,type,
m_Down: $i > $i ).
thf(nbr_proc_type,type,
nbr_proc: $i ).
thf(m_NotNorm_type,type,
m_NotNorm: $i > $i ).
thf(setIn_type,type,
setIn: $i > $i > $o ).
thf(alive_type,type,
alive: $i ).
thf(index_type,type,
index: $i > $i > $i ).
thf(status_type,type,
status: $i ).
thf(elec_1_type,type,
elec_1: $i ).
thf(elec_2_type,type,
elec_2: $i ).
thf(elid_type,type,
elid: $i ).
thf(norm_type,type,
norm: $i ).
thf(ldr_type,type,
ldr: $i ).
thf(wait_type,type,
wait: $i ).
thf(down_type,type,
down: $i ).
thf(s_type,type,
s: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(m_Ack_type,type,
m_Ack: $i > $i > $i ).
thf(pendack_type,type,
pendack: $i ).
thf(pidMsg_type,type,
pidMsg: $i > $i ).
thf(m_Halt_type,type,
m_Halt: $i > $i ).
thf(m_NormQ_type,type,
m_NormQ: $i > $i ).
thf(last_type,type,
last: $i > $i ).
thf(snoc_type,type,
snoc: $i > $i > $i ).
thf(q_nil_type,type,
q_nil: $i ).
thf(init_type,type,
init: $i > $i ).
thf(ordered_type,type,
ordered: $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(pids_type,type,
pids: $i ).
thf(setEmpty_type,type,
setEmpty: $i ).
thf(tail_type,type,
tail: $i > $i ).
thf(pidElem_type,type,
pidElem: $i > $o ).
thf(head_type,type,
head: $i > $i ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i > $i > $i > $i > $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i ).
thf(sk8_type,type,
sk8: $i ).
thf(sk9_type,type,
sk9: $i ).
thf(sk10_type,type,
sk10: $i > $i ).
thf(sk11_type,type,
sk11: $i > $i ).
thf(sk12_type,type,
sk12: $i > $i > $i ).
thf(sk13_type,type,
sk13: $i > $i ).
thf(sk17_type,type,
sk17: $i > $i ).
thf(sk20_type,type,
sk20: $i > $i ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i,F: $i] :
( ( elem @ ( m_Ldr @ F ) @ ( queue @ ( host @ E ) ) )
=> ~ ( leq @ ( host @ E ) @ ( host @ F ) ) )
& ! [E: $i,F: $i] :
( ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) )
=> ( ( host @ F )
!= ( host @ E ) ) )
& ! [E: $i,F: $i] :
( ( ( host @ F )
= nbr_proc )
=> ~ ( elem @ ( m_NotNorm @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i] :
( ( ( F != E )
& ( ( host @ F )
= ( host @ E ) ) )
=> ( ~ ( setIn @ E @ alive )
| ~ ( setIn @ F @ alive ) ) )
& ! [E: $i] :
( ( ( ( ( index @ status @ ( host @ E ) )
= elec_1 )
| ( ( index @ status @ ( host @ E ) )
= elec_2 ) )
& ( setIn @ E @ alive ) )
=> ( ( index @ elid @ ( host @ E ) )
= E ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( host @ G )
!= ( host @ F ) )
& ( setIn @ G @ alive )
& ( ( host @ G )
= ( host @ E ) )
& ( ( index @ status @ ( host @ G ) )
= norm )
& ( ( index @ ldr @ ( host @ G ) )
= ( host @ F ) ) )
=> ~ ( elem @ ( m_Down @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( host @ G )
!= ( host @ F ) )
& ( setIn @ G @ alive )
& ( ( host @ G )
= ( host @ E ) )
& ( ( index @ status @ ( host @ G ) )
= wait )
& ( ( host @ ( index @ elid @ ( host @ G ) ) )
= ( host @ F ) ) )
=> ~ ( elem @ ( m_Down @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( host @ G )
!= ( host @ E ) )
& ( setIn @ E @ alive )
& ( setIn @ G @ alive )
& ( ( host @ F )
= ( host @ E ) )
& ( ( host @ H )
= ( host @ G ) ) )
=> ~ ( ( elem @ ( m_Down @ H ) @ ( queue @ ( host @ E ) ) )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ G ) ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( host @ G )
!= ( host @ E ) )
& ( setIn @ E @ alive )
& ( setIn @ G @ alive )
& ( ( host @ F )
= ( host @ E ) )
& ( ( host @ H )
= ( host @ G ) ) )
=> ~ ( ( elem @ ( m_Down @ H ) @ ( queue @ ( host @ E ) ) )
& ( setIn @ ( host @ F ) @ ( index @ down @ ( host @ G ) ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ! [I: $i] :
( ( ~ ( leq @ ( host @ H ) @ I )
& ( leq @ ( s @ zero ) @ I ) )
=> ( ( setIn @ I @ ( index @ down @ ( host @ H ) ) )
| ( I
= ( host @ G ) ) ) )
& ( elem @ ( m_Down @ G ) @ ( queue @ ( host @ H ) ) )
& ( ( host @ H )
= nbr_proc )
& ( ( host @ H )
= ( host @ F ) )
& ( ( index @ status @ ( host @ H ) )
= elec_1 ) )
=> ~ ( ( setIn @ E @ alive )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) ) ) )
& ( ( queue @ ( host @ C ) )
= ( cons @ ( m_Ack @ B @ D ) @ A ) ) )
=> ( ( setIn @ C @ alive )
=> ( ~ ( ( ( index @ elid @ ( host @ C ) )
= B )
& ( ( index @ status @ ( host @ C ) )
= elec_2 )
& ( ( host @ D )
= ( index @ pendack @ ( host @ C ) ) ) )
=> ! [E: $i] :
( ( ( host @ C )
!= ( host @ E ) )
=> ! [F: $i,G: $i,H: $i] :
( ( ( host @ C )
= ( host @ H ) )
=> ( ( ! [I: $i] :
( ( ~ ( leq @ ( host @ H ) @ I )
& ( leq @ ( s @ zero ) @ I ) )
=> ( ( setIn @ I @ ( index @ down @ ( host @ H ) ) )
| ( I
= ( host @ G ) ) ) )
& ( elem @ ( m_Down @ G ) @ A )
& ( ( host @ H )
= ( host @ F ) )
& ( ( host @ H )
= nbr_proc )
& ( ( index @ status @ ( host @ H ) )
= elec_1 ) )
=> ~ ( ( setIn @ E @ alive )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i,F: $i] :
( ( elem @ ( m_Ldr @ F ) @ ( queue @ ( host @ E ) ) )
=> ~ ( leq @ ( host @ E ) @ ( host @ F ) ) )
& ! [E: $i,F: $i] :
( ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) )
=> ( ( host @ F )
!= ( host @ E ) ) )
& ! [E: $i,F: $i] :
( ( ( host @ F )
= nbr_proc )
=> ~ ( elem @ ( m_NotNorm @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i] :
( ( ( F != E )
& ( ( host @ F )
= ( host @ E ) ) )
=> ( ~ ( setIn @ E @ alive )
| ~ ( setIn @ F @ alive ) ) )
& ! [E: $i] :
( ( ( ( ( index @ status @ ( host @ E ) )
= elec_1 )
| ( ( index @ status @ ( host @ E ) )
= elec_2 ) )
& ( setIn @ E @ alive ) )
=> ( ( index @ elid @ ( host @ E ) )
= E ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( host @ G )
!= ( host @ F ) )
& ( setIn @ G @ alive )
& ( ( host @ G )
= ( host @ E ) )
& ( ( index @ status @ ( host @ G ) )
= norm )
& ( ( index @ ldr @ ( host @ G ) )
= ( host @ F ) ) )
=> ~ ( elem @ ( m_Down @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( host @ G )
!= ( host @ F ) )
& ( setIn @ G @ alive )
& ( ( host @ G )
= ( host @ E ) )
& ( ( index @ status @ ( host @ G ) )
= wait )
& ( ( host @ ( index @ elid @ ( host @ G ) ) )
= ( host @ F ) ) )
=> ~ ( elem @ ( m_Down @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( host @ G )
!= ( host @ E ) )
& ( setIn @ E @ alive )
& ( setIn @ G @ alive )
& ( ( host @ F )
= ( host @ E ) )
& ( ( host @ H )
= ( host @ G ) ) )
=> ~ ( ( elem @ ( m_Down @ H ) @ ( queue @ ( host @ E ) ) )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ G ) ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( host @ G )
!= ( host @ E ) )
& ( setIn @ E @ alive )
& ( setIn @ G @ alive )
& ( ( host @ F )
= ( host @ E ) )
& ( ( host @ H )
= ( host @ G ) ) )
=> ~ ( ( elem @ ( m_Down @ H ) @ ( queue @ ( host @ E ) ) )
& ( setIn @ ( host @ F ) @ ( index @ down @ ( host @ G ) ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ! [I: $i] :
( ( ~ ( leq @ ( host @ H ) @ I )
& ( leq @ ( s @ zero ) @ I ) )
=> ( ( setIn @ I @ ( index @ down @ ( host @ H ) ) )
| ( I
= ( host @ G ) ) ) )
& ( elem @ ( m_Down @ G ) @ ( queue @ ( host @ H ) ) )
& ( ( host @ H )
= nbr_proc )
& ( ( host @ H )
= ( host @ F ) )
& ( ( index @ status @ ( host @ H ) )
= elec_1 ) )
=> ~ ( ( setIn @ E @ alive )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) ) ) )
& ( ( queue @ ( host @ C ) )
= ( cons @ ( m_Ack @ B @ D ) @ A ) ) )
=> ( ( setIn @ C @ alive )
=> ( ~ ( ( ( index @ elid @ ( host @ C ) )
= B )
& ( ( index @ status @ ( host @ C ) )
= elec_2 )
& ( ( host @ D )
= ( index @ pendack @ ( host @ C ) ) ) )
=> ! [E: $i] :
( ( ( host @ C )
!= ( host @ E ) )
=> ! [F: $i,G: $i,H: $i] :
( ( ( host @ C )
= ( host @ H ) )
=> ( ( ! [I: $i] :
( ( ~ ( leq @ ( host @ H ) @ I )
& ( leq @ ( s @ zero ) @ I ) )
=> ( ( setIn @ I @ ( index @ down @ ( host @ H ) ) )
| ( I
= ( host @ G ) ) ) )
& ( elem @ ( m_Down @ G ) @ A )
& ( ( host @ H )
= ( host @ F ) )
& ( ( host @ H )
= nbr_proc )
& ( ( index @ status @ ( host @ H ) )
= elec_1 ) )
=> ~ ( ( setIn @ E @ alive )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(69,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i,F: $i] :
( ( elem @ ( m_Ldr @ F ) @ ( queue @ ( host @ E ) ) )
=> ~ ( leq @ ( host @ E ) @ ( host @ F ) ) )
& ! [E: $i,F: $i] :
( ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) )
=> ( ( host @ F )
!= ( host @ E ) ) )
& ! [E: $i,F: $i] :
( ( ( host @ F )
= nbr_proc )
=> ~ ( elem @ ( m_NotNorm @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i] :
( ( ( F != E )
& ( ( host @ F )
= ( host @ E ) ) )
=> ( ~ ( setIn @ E @ alive )
| ~ ( setIn @ F @ alive ) ) )
& ! [E: $i] :
( ( ( ( ( index @ status @ ( host @ E ) )
= elec_1 )
| ( ( index @ status @ ( host @ E ) )
= elec_2 ) )
& ( setIn @ E @ alive ) )
=> ( ( index @ elid @ ( host @ E ) )
= E ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( host @ G )
!= ( host @ F ) )
& ( setIn @ G @ alive )
& ( ( host @ G )
= ( host @ E ) )
& ( ( index @ status @ ( host @ G ) )
= norm )
& ( ( index @ ldr @ ( host @ G ) )
= ( host @ F ) ) )
=> ~ ( elem @ ( m_Down @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( host @ G )
!= ( host @ F ) )
& ( setIn @ G @ alive )
& ( ( host @ G )
= ( host @ E ) )
& ( ( index @ status @ ( host @ G ) )
= wait )
& ( ( host @ ( index @ elid @ ( host @ G ) ) )
= ( host @ F ) ) )
=> ~ ( elem @ ( m_Down @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( host @ G )
!= ( host @ E ) )
& ( setIn @ E @ alive )
& ( setIn @ G @ alive )
& ( ( host @ F )
= ( host @ E ) )
& ( ( host @ H )
= ( host @ G ) ) )
=> ~ ( ( elem @ ( m_Down @ H ) @ ( queue @ ( host @ E ) ) )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ G ) ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( host @ G )
!= ( host @ E ) )
& ( setIn @ E @ alive )
& ( setIn @ G @ alive )
& ( ( host @ F )
= ( host @ E ) )
& ( ( host @ H )
= ( host @ G ) ) )
=> ~ ( ( elem @ ( m_Down @ H ) @ ( queue @ ( host @ E ) ) )
& ( setIn @ ( host @ F ) @ ( index @ down @ ( host @ G ) ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ! [I: $i] :
( ( ~ ( leq @ ( host @ H ) @ I )
& ( leq @ ( s @ zero ) @ I ) )
=> ( ( setIn @ I @ ( index @ down @ ( host @ H ) ) )
| ( I
= ( host @ G ) ) ) )
& ( elem @ ( m_Down @ G ) @ ( queue @ ( host @ H ) ) )
& ( ( host @ H )
= nbr_proc )
& ( ( host @ H )
= ( host @ F ) )
& ( ( index @ status @ ( host @ H ) )
= elec_1 ) )
=> ~ ( ( setIn @ E @ alive )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) ) ) )
& ( ( queue @ ( host @ C ) )
= ( cons @ ( m_Ack @ B @ D ) @ A ) ) )
=> ( ( setIn @ C @ alive )
=> ( ~ ( ( ( index @ elid @ ( host @ C ) )
= B )
& ( ( index @ status @ ( host @ C ) )
= elec_2 )
& ( ( host @ D )
= ( index @ pendack @ ( host @ C ) ) ) )
=> ! [E: $i] :
( ( ( host @ C )
!= ( host @ E ) )
=> ! [F: $i,G: $i,H: $i] :
( ( ( host @ C )
= ( host @ H ) )
=> ( ( ! [I: $i] :
( ( ~ ( leq @ ( host @ H ) @ I )
& ( leq @ ( s @ zero ) @ I ) )
=> ( ( setIn @ I @ ( index @ down @ ( host @ H ) ) )
| ( I
= ( host @ G ) ) ) )
& ( elem @ ( m_Down @ G ) @ A )
& ( ( host @ H )
= ( host @ F ) )
& ( ( host @ H )
= nbr_proc )
& ( ( index @ status @ ( host @ H ) )
= elec_1 ) )
=> ~ ( ( setIn @ E @ alive )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(57,axiom,
! [A: $i,B: $i] :
( q_nil
!= ( cons @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
thf(365,plain,
! [A: $i,B: $i] :
( q_nil
!= ( cons @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(70,plain,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i,F: $i] :
( ( elem @ ( m_Ldr @ F ) @ ( queue @ ( host @ E ) ) )
=> ~ ( leq @ ( host @ E ) @ ( host @ F ) ) )
& ! [E: $i,F: $i] :
( ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) )
=> ( ( host @ F )
!= ( host @ E ) ) )
& ! [E: $i,F: $i] :
( ( ( host @ F )
= nbr_proc )
=> ~ ( elem @ ( m_NotNorm @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i] :
( ( ( F != E )
& ( ( host @ F )
= ( host @ E ) ) )
=> ( ~ ( setIn @ E @ alive )
| ~ ( setIn @ F @ alive ) ) )
& ! [E: $i] :
( ( ( ( ( index @ status @ ( host @ E ) )
= elec_1 )
| ( ( index @ status @ ( host @ E ) )
= elec_2 ) )
& ( setIn @ E @ alive ) )
=> ( ( index @ elid @ ( host @ E ) )
= E ) )
& ! [E: $i,F: $i] :
( ? [G: $i] :
( ( ( host @ G )
!= ( host @ F ) )
& ( setIn @ G @ alive )
& ( ( host @ G )
= ( host @ E ) )
& ( ( index @ status @ ( host @ G ) )
= norm )
& ( ( index @ ldr @ ( host @ G ) )
= ( host @ F ) ) )
=> ~ ( elem @ ( m_Down @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i] :
( ? [G: $i] :
( ( ( host @ G )
!= ( host @ F ) )
& ( setIn @ G @ alive )
& ( ( host @ G )
= ( host @ E ) )
& ( ( index @ status @ ( host @ G ) )
= wait )
& ( ( host @ ( index @ elid @ ( host @ G ) ) )
= ( host @ F ) ) )
=> ~ ( elem @ ( m_Down @ E ) @ ( queue @ ( host @ F ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( host @ G )
!= ( host @ E ) )
& ( setIn @ E @ alive )
& ( setIn @ G @ alive )
& ( ( host @ F )
= ( host @ E ) )
& ( ( host @ H )
= ( host @ G ) ) )
=> ~ ( ( elem @ ( m_Down @ H ) @ ( queue @ ( host @ E ) ) )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ G ) ) ) ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( ( host @ G )
!= ( host @ E ) )
& ( setIn @ E @ alive )
& ( setIn @ G @ alive )
& ( ( host @ F )
= ( host @ E ) )
& ( ( host @ H )
= ( host @ G ) ) )
=> ~ ( ( elem @ ( m_Down @ H ) @ ( queue @ ( host @ E ) ) )
& ( setIn @ ( host @ F ) @ ( index @ down @ ( host @ G ) ) ) ) )
& ! [E: $i,F: $i] :
( ? [G: $i,H: $i] :
( ! [I: $i] :
( ( ~ ( leq @ ( host @ H ) @ I )
& ( leq @ ( s @ zero ) @ I ) )
=> ( ( setIn @ I @ ( index @ down @ ( host @ H ) ) )
| ( I
= ( host @ G ) ) ) )
& ( elem @ ( m_Down @ G ) @ ( queue @ ( host @ H ) ) )
& ( ( host @ H )
= nbr_proc )
& ( ( host @ H )
= ( host @ F ) )
& ( ( index @ status @ ( host @ H ) )
= elec_1 ) )
=> ~ ( ( setIn @ E @ alive )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) ) ) )
& ( ( queue @ ( host @ C ) )
= ( cons @ ( m_Ack @ B @ D ) @ A ) ) )
=> ( ( setIn @ C @ alive )
=> ( ~ ( ( ( index @ elid @ ( host @ C ) )
= B )
& ( ( index @ status @ ( host @ C ) )
= elec_2 )
& ( ( host @ D )
= ( index @ pendack @ ( host @ C ) ) ) )
=> ! [E: $i] :
( ( ( host @ C )
!= ( host @ E ) )
=> ! [F: $i,G: $i,H: $i] :
( ( ( host @ C )
= ( host @ H ) )
=> ( ( ! [I: $i] :
( ( ~ ( leq @ ( host @ H ) @ I )
& ( leq @ ( s @ zero ) @ I ) )
=> ( ( setIn @ I @ ( index @ down @ ( host @ H ) ) )
| ( I
= ( host @ G ) ) ) )
& ( elem @ ( m_Down @ G ) @ A )
& ( ( host @ H )
= ( host @ F ) )
& ( ( host @ H )
= nbr_proc )
& ( ( index @ status @ ( host @ H ) )
= elec_1 ) )
=> ~ ( ( setIn @ E @ alive )
& ( elem @ ( m_Down @ F ) @ ( queue @ ( host @ E ) ) ) ) ) ) ) ) ) ),
inference(miniscope,[status(thm)],[69]) ).
thf(73,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( leq @ ( host @ D ) @ ( sk5 @ D @ C @ B @ A ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(100,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( leq @ ( host @ D ) @ ( sk5 @ D @ C @ B @ A ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(lifteq,[status(thm)],[73]) ).
thf(101,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( leq @ ( host @ D ) @ ( sk5 @ D @ C @ B @ A ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(simp,[status(thm)],[100]) ).
thf(20,axiom,
! [A: $i] : ( leq @ ( s @ zero ) @ ( host @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
thf(198,plain,
! [A: $i] : ( leq @ ( s @ zero ) @ ( host @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(199,plain,
! [A: $i] : ( leq @ ( s @ zero ) @ ( host @ A ) ),
inference(cnf,[status(esa)],[198]) ).
thf(58,axiom,
! [A: $i] :
~ ( leq @ ( s @ A ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
thf(369,plain,
! [A: $i] :
~ ( leq @ ( s @ A ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(370,plain,
~ ? [A: $i] : ( leq @ ( s @ A ) @ A ),
inference(miniscope,[status(thm)],[369]) ).
thf(371,plain,
! [A: $i] :
~ ( leq @ ( s @ A ) @ A ),
inference(cnf,[status(esa)],[370]) ).
thf(1122,plain,
! [B: $i,A: $i] :
( ( leq @ ( s @ zero ) @ ( host @ A ) )
!= ( leq @ ( s @ B ) @ B ) ),
inference(paramod_ordered,[status(thm)],[199,371]) ).
thf(1129,plain,
! [B: $i,A: $i] :
( ( ( s @ zero )
!= ( s @ B ) )
| ( ( host @ A )
!= B ) ),
inference(simp,[status(thm)],[1122]) ).
thf(1136,plain,
! [A: $i] :
( ( s @ ( host @ A ) )
!= ( s @ zero ) ),
inference(simp,[status(thm)],[1129]) ).
thf(1554,plain,
! [A: $i] :
( ( host @ A )
!= zero ),
inference(simp,[status(thm)],[1136]) ).
thf(53,axiom,
norm != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(352,plain,
norm != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(88,plain,
( ( queue @ ( host @ sk3 ) )
= ( cons @ ( m_Ack @ sk2 @ sk4 ) @ sk1 ) ),
inference(cnf,[status(esa)],[70]) ).
thf(97,plain,
( ( cons @ ( m_Ack @ sk2 @ sk4 ) @ sk1 )
= ( queue @ ( host @ sk3 ) ) ),
inference(lifteq,[status(thm)],[88]) ).
thf(81,plain,
( ( host @ sk3 )
= ( host @ sk9 ) ),
inference(cnf,[status(esa)],[70]) ).
thf(120,plain,
( ( host @ sk9 )
= ( host @ sk3 ) ),
inference(lifteq,[status(thm)],[81]) ).
thf(80,plain,
( ( host @ sk9 )
= nbr_proc ),
inference(cnf,[status(esa)],[70]) ).
thf(104,plain,
( ( host @ sk9 )
= nbr_proc ),
inference(lifteq,[status(thm)],[80]) ).
thf(460,plain,
( ( host @ sk3 )
= nbr_proc ),
inference(rewrite,[status(thm)],[120,104]) ).
thf(495,plain,
( ( cons @ ( m_Ack @ sk2 @ sk4 ) @ sk1 )
= ( queue @ nbr_proc ) ),
inference(rewrite,[status(thm)],[97,460]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( head @ ( cons @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
thf(375,plain,
! [A: $i,B: $i] :
( ( head @ ( cons @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(376,plain,
! [B: $i,A: $i] :
( ( head @ ( cons @ A @ B ) )
= A ),
inference(cnf,[status(esa)],[375]) ).
thf(377,plain,
! [B: $i,A: $i] :
( ( head @ ( cons @ A @ B ) )
= A ),
inference(lifteq,[status(thm)],[376]) ).
thf(5114,plain,
! [B: $i,A: $i] :
( ( ( head @ ( queue @ nbr_proc ) )
= A )
| ( ( cons @ ( m_Ack @ sk2 @ sk4 ) @ sk1 )
!= ( cons @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[495,377]) ).
thf(5115,plain,
( ( m_Ack @ sk2 @ sk4 )
= ( head @ ( queue @ nbr_proc ) ) ),
inference(pattern_uni,[status(thm)],[5114:[bind(A,$thf( m_Ack @ sk2 @ sk4 )),bind(B,$thf( sk1 ))]]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_Down @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(209,plain,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_Down @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(210,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
= ( m_Down @ C ) ),
inference(miniscope,[status(thm)],[209]) ).
thf(211,plain,
! [C: $i,B: $i,A: $i] :
( ( m_Ack @ A @ B )
!= ( m_Down @ C ) ),
inference(cnf,[status(esa)],[210]) ).
thf(212,plain,
! [C: $i,B: $i,A: $i] :
( ( m_Ack @ A @ B )
!= ( m_Down @ C ) ),
inference(lifteq,[status(thm)],[211]) ).
thf(5135,plain,
! [C: $i,B: $i,A: $i] :
( ( ( head @ ( queue @ nbr_proc ) )
!= ( m_Down @ C ) )
| ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ack @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5115,212]) ).
thf(5136,plain,
! [A: $i] :
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Down @ A ) ),
inference(pattern_uni,[status(thm)],[5135:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(5141,plain,
! [A: $i] :
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Down @ A ) ),
inference(simp,[status(thm)],[5136]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( m_Down @ A )
!= ( m_Down @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
thf(269,plain,
! [A: $i,B: $i] :
( ( ( A != B )
=> ( ( m_Down @ A )
!= ( m_Down @ B ) ) )
& ( ( ( m_Down @ A )
!= ( m_Down @ B ) )
=> ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(270,plain,
( ! [A: $i,B: $i] :
( ( A != B )
=> ( ( m_Down @ A )
!= ( m_Down @ B ) ) )
& ! [A: $i,B: $i] :
( ( ( m_Down @ A )
!= ( m_Down @ B ) )
=> ( A != B ) ) ),
inference(miniscope,[status(thm)],[269]) ).
thf(272,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_Down @ A )
!= ( m_Down @ B ) ) ),
inference(cnf,[status(esa)],[270]) ).
thf(275,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_Down @ A )
!= ( m_Down @ B ) ) ),
inference(lifteq,[status(thm)],[272]) ).
thf(276,plain,
! [A: $i] :
( ( sk17 @ ( m_Down @ A ) )
= A ),
introduced(tautology,[new_symbols(inverse(m_Down),[sk17])]) ).
thf(93,plain,
setIn @ sk3 @ alive,
inference(cnf,[status(esa)],[70]) ).
thf(13,axiom,
~ ( setIn @ nil @ alive ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
thf(172,plain,
~ ( setIn @ nil @ alive ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(173,plain,
~ ( setIn @ nil @ alive ),
inference(polarity_switch,[status(thm)],[172]) ).
thf(436,plain,
( ( setIn @ sk3 @ alive )
!= ( setIn @ nil @ alive ) ),
inference(paramod_ordered,[status(thm)],[93,173]) ).
thf(438,plain,
( ( sk3 != nil )
| ( alive != alive ) ),
inference(simp,[status(thm)],[436]) ).
thf(440,plain,
sk3 != nil,
inference(simp,[status(thm)],[438]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( m_Down @ A )
!= ( m_NotNorm @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
thf(202,plain,
! [A: $i,B: $i] :
( ( m_Down @ A )
!= ( m_NotNorm @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( elem @ A @ ( cons @ B @ C ) )
<=> ( ( A = B )
| ( elem @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
thf(236,plain,
! [A: $i,B: $i,C: $i] :
( ( ( elem @ A @ ( cons @ B @ C ) )
=> ( ( A = B )
| ( elem @ A @ C ) ) )
& ( ( ( A = B )
| ( elem @ A @ C ) )
=> ( elem @ A @ ( cons @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(237,plain,
( ! [A: $i,B: $i,C: $i] :
( ( elem @ A @ ( cons @ B @ C ) )
=> ( ( A = B )
| ( elem @ A @ C ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
| ( elem @ A @ C ) )
=> ( elem @ A @ ( cons @ B @ C ) ) ) ),
inference(miniscope,[status(thm)],[236]) ).
thf(238,plain,
! [C: $i,B: $i,A: $i] :
( ( A != B )
| ( elem @ A @ ( cons @ B @ C ) ) ),
inference(cnf,[status(esa)],[237]) ).
thf(241,plain,
! [C: $i,B: $i,A: $i] :
( ( A != B )
| ( elem @ A @ ( cons @ B @ C ) ) ),
inference(lifteq,[status(thm)],[238]) ).
thf(242,plain,
! [B: $i,A: $i] : ( elem @ A @ ( cons @ A @ B ) ),
inference(simp,[status(thm)],[241]) ).
thf(2005,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( queue @ nbr_proc ) )
| ( ( cons @ ( m_Ack @ sk2 @ sk4 ) @ sk1 )
!= ( cons @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[495,242]) ).
thf(2006,plain,
elem @ ( m_Ack @ sk2 @ sk4 ) @ ( queue @ nbr_proc ),
inference(pattern_uni,[status(thm)],[2005:[bind(A,$thf( m_Ack @ sk2 @ sk4 )),bind(B,$thf( sk1 ))]]) ).
thf(5120,plain,
elem @ ( head @ ( queue @ nbr_proc ) ) @ ( queue @ nbr_proc ),
inference(rewrite,[status(thm)],[2006,5115]) ).
thf(63,axiom,
! [A: $i] :
~ ( elem @ A @ q_nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
thf(385,plain,
! [A: $i] :
~ ( elem @ A @ q_nil ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(14,axiom,
leq @ ( s @ zero ) @ nbr_proc,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).
thf(174,plain,
leq @ ( s @ zero ) @ nbr_proc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(1120,plain,
! [A: $i] :
( ( leq @ ( s @ zero ) @ nbr_proc )
!= ( leq @ ( s @ A ) @ A ) ),
inference(paramod_ordered,[status(thm)],[174,371]) ).
thf(1130,plain,
! [A: $i] :
( ( ( s @ zero )
!= ( s @ A ) )
| ( nbr_proc != A ) ),
inference(simp,[status(thm)],[1120]) ).
thf(1137,plain,
( ( s @ zero )
!= ( s @ nbr_proc ) ),
inference(simp,[status(thm)],[1130]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( m_NormQ @ A )
!= ( m_NormQ @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
thf(135,plain,
! [A: $i,B: $i] :
( ( ( A != B )
=> ( ( m_NormQ @ A )
!= ( m_NormQ @ B ) ) )
& ( ( ( m_NormQ @ A )
!= ( m_NormQ @ B ) )
=> ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(136,plain,
( ! [A: $i,B: $i] :
( ( A != B )
=> ( ( m_NormQ @ A )
!= ( m_NormQ @ B ) ) )
& ! [A: $i,B: $i] :
( ( ( m_NormQ @ A )
!= ( m_NormQ @ B ) )
=> ( A != B ) ) ),
inference(miniscope,[status(thm)],[135]) ).
thf(138,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_NormQ @ A )
!= ( m_NormQ @ B ) ) ),
inference(cnf,[status(esa)],[136]) ).
thf(141,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_NormQ @ A )
!= ( m_NormQ @ B ) ) ),
inference(lifteq,[status(thm)],[138]) ).
thf(142,plain,
! [A: $i] :
( ( sk10 @ ( m_NormQ @ A ) )
= A ),
introduced(tautology,[new_symbols(inverse(m_NormQ),[sk10])]) ).
thf(25,axiom,
! [A: $i] :
~ ( setIn @ A @ setEmpty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
thf(213,plain,
! [A: $i] :
~ ( setIn @ A @ setEmpty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(214,plain,
~ ? [A: $i] : ( setIn @ A @ setEmpty ),
inference(miniscope,[status(thm)],[213]) ).
thf(215,plain,
! [A: $i] :
~ ( setIn @ A @ setEmpty ),
inference(cnf,[status(esa)],[214]) ).
thf(496,plain,
! [A: $i] :
( ( setIn @ sk3 @ alive )
!= ( setIn @ A @ setEmpty ) ),
inference(paramod_ordered,[status(thm)],[93,215]) ).
thf(498,plain,
! [A: $i] :
( ( sk3 != A )
| ( setEmpty != alive ) ),
inference(simp,[status(thm)],[496]) ).
thf(500,plain,
setEmpty != alive,
inference(simp,[status(thm)],[498]) ).
thf(86,plain,
! [B: $i,A: $i] :
( ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) )
| ( ( host @ B )
!= ( host @ A ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(118,plain,
! [B: $i,A: $i] :
( ( ( host @ B )
!= ( host @ A ) )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(lifteq,[status(thm)],[86]) ).
thf(119,plain,
! [B: $i,A: $i] :
( ( ( host @ B )
!= ( host @ A ) )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(simp,[status(thm)],[118]) ).
thf(1707,plain,
! [B: $i,A: $i] :
( ( B != A )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(simp,[status(thm)],[119]) ).
thf(1748,plain,
! [A: $i] :
~ ( elem @ ( m_Down @ A ) @ ( queue @ ( host @ A ) ) ),
inference(simp,[status(thm)],[1707]) ).
thf(1760,plain,
! [A: $i] :
( ~ ( elem @ ( m_Down @ A ) @ ( queue @ nbr_proc ) )
| ( ( host @ sk3 )
!= ( host @ A ) ) ),
inference(paramod_ordered,[status(thm)],[460,1748]) ).
thf(1761,plain,
~ ( elem @ ( m_Down @ sk3 ) @ ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[1760:[bind(A,$thf( sk3 ))]]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( m_Halt @ A )
!= ( m_Halt @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
thf(153,plain,
! [A: $i,B: $i] :
( ( ( A != B )
=> ( ( m_Halt @ A )
!= ( m_Halt @ B ) ) )
& ( ( ( m_Halt @ A )
!= ( m_Halt @ B ) )
=> ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(72,plain,
( ( host @ sk9 )
= ( host @ sk7 ) ),
inference(cnf,[status(esa)],[70]) ).
thf(107,plain,
( ( host @ sk9 )
= ( host @ sk7 ) ),
inference(lifteq,[status(thm)],[72]) ).
thf(447,plain,
( ( host @ sk7 )
= nbr_proc ),
inference(rewrite,[status(thm)],[107,104]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( ( leq @ A @ B )
& ( leq @ B @ A ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
thf(255,plain,
! [A: $i,B: $i] :
( ( ( ( leq @ A @ B )
& ( leq @ B @ A ) )
=> ( A = B ) )
& ( ( A = B )
=> ( ( leq @ A @ B )
& ( leq @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(256,plain,
( ! [A: $i,B: $i] :
( ( ( leq @ A @ B )
& ( leq @ B @ A ) )
=> ( A = B ) )
& ! [A: $i,B: $i] :
( ( A = B )
=> ( ( leq @ A @ B )
& ( leq @ B @ A ) ) ) ),
inference(miniscope,[status(thm)],[255]) ).
thf(257,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( leq @ A @ B ) ),
inference(cnf,[status(esa)],[256]) ).
thf(260,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( leq @ A @ B ) ),
inference(lifteq,[status(thm)],[257]) ).
thf(261,plain,
! [A: $i] : ( leq @ A @ A ),
inference(simp,[status(thm)],[260]) ).
thf(74,plain,
! [B: $i,A: $i] :
( ~ ( elem @ ( m_Ldr @ B ) @ ( queue @ ( host @ A ) ) )
| ~ ( leq @ ( host @ A ) @ ( host @ B ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(681,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( elem @ ( m_Ldr @ C ) @ ( queue @ ( host @ B ) ) )
| ( ( leq @ A @ A )
!= ( leq @ ( host @ B ) @ ( host @ C ) ) ) ),
inference(paramod_ordered,[status(thm)],[261,74]) ).
thf(682,plain,
! [A: $i] :
~ ( elem @ ( m_Ldr @ A ) @ ( queue @ ( host @ A ) ) ),
inference(pattern_uni,[status(thm)],[681:[bind(A,$thf( host @ D )),bind(B,$thf( D )),bind(C,$thf( D ))]]) ).
thf(686,plain,
! [A: $i] :
~ ( elem @ ( m_Ldr @ A ) @ ( queue @ ( host @ A ) ) ),
inference(simp,[status(thm)],[682]) ).
thf(696,plain,
! [A: $i] :
( ~ ( elem @ ( m_Ldr @ A ) @ ( queue @ nbr_proc ) )
| ( ( host @ sk7 )
!= ( host @ A ) ) ),
inference(paramod_ordered,[status(thm)],[447,686]) ).
thf(697,plain,
~ ( elem @ ( m_Ldr @ sk7 ) @ ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[696:[bind(A,$thf( sk7 ))]]) ).
thf(2138,plain,
( ( elem @ ( m_Ack @ sk2 @ sk4 ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Ldr @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[2006,697]) ).
thf(2181,plain,
( ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ldr @ sk7 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2138]) ).
thf(2212,plain,
( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ldr @ sk7 ) ),
inference(simp,[status(thm)],[2181]) ).
thf(5123,plain,
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk7 ) ),
inference(rewrite,[status(thm)],[2212,5115]) ).
thf(38,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
thf(286,plain,
elec_2 != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(287,plain,
elec_2 != wait,
inference(polarity_switch,[status(thm)],[286]) ).
thf(288,plain,
wait != elec_2,
inference(lifteq,[status(thm)],[287]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ ( s @ B ) )
<=> ( ( A
= ( s @ B ) )
| ( leq @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
thf(404,plain,
! [A: $i,B: $i] :
( ( ( leq @ A @ ( s @ B ) )
=> ( ( A
= ( s @ B ) )
| ( leq @ A @ B ) ) )
& ( ( ( A
= ( s @ B ) )
| ( leq @ A @ B ) )
=> ( leq @ A @ ( s @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(76,plain,
elem @ ( m_Down @ sk8 ) @ sk1,
inference(cnf,[status(esa)],[70]) ).
thf(1770,plain,
! [A: $i] :
( ~ ( elem @ ( m_Down @ A ) @ ( queue @ nbr_proc ) )
| ( ( host @ sk7 )
!= ( host @ A ) ) ),
inference(paramod_ordered,[status(thm)],[447,1748]) ).
thf(1771,plain,
~ ( elem @ ( m_Down @ sk7 ) @ ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[1770:[bind(A,$thf( sk7 ))]]) ).
thf(1783,plain,
( ( elem @ ( m_Down @ sk8 ) @ sk1 )
!= ( elem @ ( m_Down @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[76,1771]) ).
thf(1785,plain,
( ( ( m_Down @ sk8 )
!= ( m_Down @ sk7 ) )
| ( ( queue @ nbr_proc )
!= sk1 ) ),
inference(simp,[status(thm)],[1783]) ).
thf(3263,plain,
( ( sk8 != sk7 )
| ( ( queue @ nbr_proc )
!= sk1 ) ),
inference(simp,[status(thm)],[1785]) ).
thf(59,axiom,
! [A: $i] :
( ( A = q_nil )
| ( A
= ( cons @ ( head @ A ) @ ( tail @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
thf(372,plain,
! [A: $i] :
( ( A = q_nil )
| ( A
= ( cons @ ( head @ A ) @ ( tail @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(67,axiom,
! [A: $i,B: $i] :
( ( ( s @ ( host @ A ) )
= ( host @ B ) )
=> ( ( host @ A )
!= ( host @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_01) ).
thf(421,plain,
! [A: $i,B: $i] :
( ( ( s @ ( host @ A ) )
= ( host @ B ) )
=> ( ( host @ A )
!= ( host @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(37,axiom,
! [A: $i] :
( ( ordered @ ( cons @ A @ q_nil ) )
& ( ordered @ ( snoc @ q_nil @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
thf(281,plain,
! [A: $i] :
( ( ordered @ ( cons @ A @ q_nil ) )
& ( ordered @ ( snoc @ q_nil @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(282,plain,
( ! [A: $i] : ( ordered @ ( cons @ A @ q_nil ) )
& ! [A: $i] : ( ordered @ ( snoc @ q_nil @ A ) ) ),
inference(miniscope,[status(thm)],[281]) ).
thf(284,plain,
! [A: $i] : ( ordered @ ( cons @ A @ q_nil ) ),
inference(cnf,[status(esa)],[282]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i] :
( ( elem @ A @ ( snoc @ C @ B ) )
<=> ( ( A = B )
| ( elem @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
thf(325,plain,
! [A: $i,B: $i,C: $i] :
( ( ( elem @ A @ ( snoc @ C @ B ) )
=> ( ( A = B )
| ( elem @ A @ C ) ) )
& ( ( ( A = B )
| ( elem @ A @ C ) )
=> ( elem @ A @ ( snoc @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( init @ ( snoc @ B @ A ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
thf(150,plain,
! [A: $i,B: $i] :
( ( init @ ( snoc @ B @ A ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(151,plain,
! [B: $i,A: $i] :
( ( init @ ( snoc @ B @ A ) )
= B ),
inference(cnf,[status(esa)],[150]) ).
thf(152,plain,
! [B: $i,A: $i] :
( ( init @ ( snoc @ B @ A ) )
= B ),
inference(lifteq,[status(thm)],[151]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_NormQ @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(289,plain,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_NormQ @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(43,axiom,
! [A: $i] : ( leq @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
thf(316,plain,
! [A: $i] : ( leq @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(9,axiom,
! [A: $i] :
( ( A = q_nil )
| ( A
= ( snoc @ ( init @ A ) @ ( last @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
thf(161,plain,
! [A: $i] :
( ( A = q_nil )
| ( A
= ( snoc @ ( init @ A ) @ ( last @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(162,plain,
! [A: $i] :
( ( A = q_nil )
| ( A
= ( snoc @ ( init @ A ) @ ( last @ A ) ) ) ),
inference(cnf,[status(esa)],[161]) ).
thf(163,plain,
! [A: $i] :
( ( A = q_nil )
| ( ( snoc @ ( init @ A ) @ ( last @ A ) )
= A ) ),
inference(lifteq,[status(thm)],[162]) ).
thf(326,plain,
( ! [A: $i,B: $i,C: $i] :
( ( elem @ A @ ( snoc @ C @ B ) )
=> ( ( A = B )
| ( elem @ A @ C ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
| ( elem @ A @ C ) )
=> ( elem @ A @ ( snoc @ C @ B ) ) ) ),
inference(miniscope,[status(thm)],[325]) ).
thf(327,plain,
! [C: $i,B: $i,A: $i] :
( ( A != B )
| ( elem @ A @ ( snoc @ C @ B ) ) ),
inference(cnf,[status(esa)],[326]) ).
thf(330,plain,
! [C: $i,B: $i,A: $i] :
( ( A != B )
| ( elem @ A @ ( snoc @ C @ B ) ) ),
inference(lifteq,[status(thm)],[327]) ).
thf(331,plain,
! [B: $i,A: $i] : ( elem @ A @ ( snoc @ B @ A ) ),
inference(simp,[status(thm)],[330]) ).
thf(5412,plain,
! [C: $i,B: $i,A: $i] :
( ( A = q_nil )
| ( elem @ B @ A )
| ( ( snoc @ ( init @ A ) @ ( last @ A ) )
!= ( snoc @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[163,331]) ).
thf(5413,plain,
! [A: $i] :
( ( A = q_nil )
| ( elem @ ( last @ A ) @ A ) ),
inference(pattern_uni,[status(thm)],[5412:[bind(A,$thf( E )),bind(B,$thf( last @ E )),bind(C,$thf( init @ E ))]]) ).
thf(5431,plain,
! [A: $i] :
( ( A = q_nil )
| ( elem @ ( last @ A ) @ A ) ),
inference(simp,[status(thm)],[5413]) ).
thf(366,plain,
~ ? [A: $i,B: $i] :
( q_nil
= ( cons @ A @ B ) ),
inference(miniscope,[status(thm)],[365]) ).
thf(367,plain,
! [B: $i,A: $i] :
( q_nil
!= ( cons @ A @ B ) ),
inference(cnf,[status(esa)],[366]) ).
thf(368,plain,
! [B: $i,A: $i] :
( ( cons @ A @ B )
!= q_nil ),
inference(lifteq,[status(thm)],[367]) ).
thf(1008,plain,
! [B: $i,A: $i] :
( ( ( queue @ nbr_proc )
!= q_nil )
| ( ( cons @ ( m_Ack @ sk2 @ sk4 ) @ sk1 )
!= ( cons @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[495,368]) ).
thf(1009,plain,
( ( queue @ nbr_proc )
!= q_nil ),
inference(pattern_uni,[status(thm)],[1008:[bind(A,$thf( m_Ack @ sk2 @ sk4 )),bind(B,$thf( sk1 ))]]) ).
thf(6461,plain,
! [A: $i] :
( ( elem @ ( last @ A ) @ A )
| ( A
!= ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[5431,1009]) ).
thf(6462,plain,
elem @ ( last @ ( queue @ nbr_proc ) ) @ ( queue @ nbr_proc ),
inference(pattern_uni,[status(thm)],[6461:[bind(A,$thf( queue @ nbr_proc ))]]) ).
thf(694,plain,
! [A: $i] :
( ~ ( elem @ ( m_Ldr @ A ) @ ( queue @ nbr_proc ) )
| ( ( host @ sk9 )
!= ( host @ A ) ) ),
inference(paramod_ordered,[status(thm)],[104,686]) ).
thf(695,plain,
~ ( elem @ ( m_Ldr @ sk9 ) @ ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[694:[bind(A,$thf( sk9 ))]]) ).
thf(7085,plain,
( ( elem @ ( last @ ( queue @ nbr_proc ) ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Ldr @ sk9 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[6462,695]) ).
thf(7176,plain,
( ( ( last @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk9 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[7085]) ).
thf(7183,plain,
( ( last @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk9 ) ),
inference(simp,[status(thm)],[7176]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( m_Ack @ A @ C )
!= ( m_Ack @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
thf(216,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( m_Ack @ A @ C )
!= ( m_Ack @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(10,axiom,
ordered @ q_nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
thf(164,plain,
ordered @ q_nil,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( m_NotNorm @ A )
!= ( m_Halt @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(179,plain,
! [A: $i,B: $i] :
( ( m_NotNorm @ A )
!= ( m_Halt @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( m_Ldr @ A )
!= ( m_NormQ @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
thf(321,plain,
! [A: $i,B: $i] :
( ( m_Ldr @ A )
!= ( m_NormQ @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(32,axiom,
! [A: $i] :
( ( pidElem @ A )
<=> ? [B: $i] :
( ( A
= ( m_Halt @ B ) )
| ( A
= ( m_Down @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
thf(245,plain,
! [A: $i] :
( ( ( pidElem @ A )
=> ? [B: $i] :
( ( A
= ( m_Halt @ B ) )
| ( A
= ( m_Down @ B ) ) ) )
& ( ? [B: $i] :
( ( A
= ( m_Halt @ B ) )
| ( A
= ( m_Down @ B ) ) )
=> ( pidElem @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(246,plain,
( ! [A: $i] :
( ( pidElem @ A )
=> ( ? [B: $i] :
( A
= ( m_Halt @ B ) )
| ? [B: $i] :
( A
= ( m_Down @ B ) ) ) )
& ! [A: $i] :
( ( ? [B: $i] :
( A
= ( m_Halt @ B ) )
| ? [B: $i] :
( A
= ( m_Down @ B ) ) )
=> ( pidElem @ A ) ) ),
inference(miniscope,[status(thm)],[245]) ).
thf(248,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Down @ B ) )
| ( pidElem @ A ) ),
inference(cnf,[status(esa)],[246]) ).
thf(252,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Down @ B ) )
| ( pidElem @ A ) ),
inference(lifteq,[status(thm)],[248]) ).
thf(253,plain,
! [A: $i] : ( pidElem @ ( m_Down @ A ) ),
inference(simp,[status(thm)],[252]) ).
thf(95,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk5 @ D @ C @ B @ A )
!= ( host @ C ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(105,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk5 @ D @ C @ B @ A )
!= ( host @ C ) )
| ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(lifteq,[status(thm)],[95]) ).
thf(106,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk5 @ D @ C @ B @ A )
!= ( host @ C ) )
| ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(simp,[status(thm)],[105]) ).
thf(84,plain,
elem @ ( m_Down @ sk7 ) @ ( queue @ ( host @ sk6 ) ),
inference(cnf,[status(esa)],[70]) ).
thf(55,axiom,
! [A: $i] :
( ( cons @ A @ q_nil )
= ( snoc @ q_nil @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
thf(359,plain,
! [A: $i] :
( ( cons @ A @ q_nil )
= ( snoc @ q_nil @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(360,plain,
! [A: $i] :
( ( cons @ A @ q_nil )
= ( snoc @ q_nil @ A ) ),
inference(cnf,[status(esa)],[359]) ).
thf(361,plain,
! [A: $i] :
( ( snoc @ q_nil @ A )
= ( cons @ A @ q_nil ) ),
inference(lifteq,[status(thm)],[360]) ).
thf(1768,plain,
! [A: $i] :
( ~ ( elem @ ( m_Down @ A ) @ ( queue @ nbr_proc ) )
| ( ( host @ sk9 )
!= ( host @ A ) ) ),
inference(paramod_ordered,[status(thm)],[104,1748]) ).
thf(1769,plain,
~ ( elem @ ( m_Down @ sk9 ) @ ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[1768:[bind(A,$thf( sk9 ))]]) ).
thf(4883,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( snoc @ B @ A ) )
!= ( elem @ ( m_Down @ sk9 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[331,1769]) ).
thf(4899,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Down @ sk9 ) )
| ( ( snoc @ B @ A )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[4883]) ).
thf(4970,plain,
! [A: $i] :
( ( snoc @ A @ ( m_Down @ sk9 ) )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[4899]) ).
thf(5044,plain,
! [B: $i,A: $i] :
( ( ( cons @ A @ q_nil )
!= ( queue @ nbr_proc ) )
| ( ( snoc @ q_nil @ A )
!= ( snoc @ B @ ( m_Down @ sk9 ) ) ) ),
inference(paramod_ordered,[status(thm)],[361,4970]) ).
thf(5045,plain,
( ( cons @ ( m_Down @ sk9 ) @ q_nil )
!= ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[5044:[bind(A,$thf( m_Down @ sk9 )),bind(B,$thf( q_nil ))]]) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( m_Ldr @ A )
!= ( m_Halt @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
thf(277,plain,
! [A: $i,B: $i] :
( ( m_Ldr @ A )
!= ( m_Halt @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(278,plain,
~ ? [A: $i,B: $i] :
( ( m_Ldr @ A )
= ( m_Halt @ B ) ),
inference(miniscope,[status(thm)],[277]) ).
thf(279,plain,
! [B: $i,A: $i] :
( ( m_Ldr @ A )
!= ( m_Halt @ B ) ),
inference(cnf,[status(esa)],[278]) ).
thf(280,plain,
! [B: $i,A: $i] :
( ( m_Ldr @ A )
!= ( m_Halt @ B ) ),
inference(lifteq,[status(thm)],[279]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
<=> ( leq @ ( s @ A ) @ ( s @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
thf(221,plain,
! [A: $i,B: $i] :
( ( ( leq @ A @ B )
=> ( leq @ ( s @ A ) @ ( s @ B ) ) )
& ( ( leq @ ( s @ A ) @ ( s @ B ) )
=> ( leq @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(3,axiom,
! [A: $i] :
( ( pidMsg @ ( m_Halt @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
thf(132,plain,
! [A: $i] :
( ( pidMsg @ ( m_Halt @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( m_NormQ @ A )
!= ( m_NotNorm @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
thf(265,plain,
! [A: $i,B: $i] :
( ( m_NormQ @ A )
!= ( m_NotNorm @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(386,plain,
~ ? [A: $i] : ( elem @ A @ q_nil ),
inference(miniscope,[status(thm)],[385]) ).
thf(387,plain,
! [A: $i] :
~ ( elem @ A @ q_nil ),
inference(cnf,[status(esa)],[386]) ).
thf(503,plain,
! [A: $i] :
( ( elem @ ( m_Down @ sk8 ) @ sk1 )
!= ( elem @ A @ q_nil ) ),
inference(paramod_ordered,[status(thm)],[76,387]) ).
thf(505,plain,
! [A: $i] :
( ( ( m_Down @ sk8 )
!= A )
| ( sk1 != q_nil ) ),
inference(simp,[status(thm)],[503]) ).
thf(507,plain,
sk1 != q_nil,
inference(simp,[status(thm)],[505]) ).
thf(23,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
thf(206,plain,
elec_1 != norm,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ordered @ ( cons @ A @ B ) )
<=> ( ( ordered @ B )
& ! [C: $i] :
( ( ( elem @ C @ B )
& ( pidElem @ A )
& ( pidElem @ C )
& ( ( host @ ( pidMsg @ C ) )
= ( host @ ( pidMsg @ A ) ) ) )
=> ( leq @ ( pidMsg @ A ) @ ( pidMsg @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
thf(293,plain,
! [A: $i,B: $i] :
( ( ( ordered @ ( cons @ A @ B ) )
=> ( ( ordered @ B )
& ! [C: $i] :
( ( ( elem @ C @ B )
& ( pidElem @ A )
& ( pidElem @ C )
& ( ( host @ ( pidMsg @ C ) )
= ( host @ ( pidMsg @ A ) ) ) )
=> ( leq @ ( pidMsg @ A ) @ ( pidMsg @ C ) ) ) ) )
& ( ( ( ordered @ B )
& ! [C: $i] :
( ( ( elem @ C @ B )
& ( pidElem @ A )
& ( pidElem @ C )
& ( ( host @ ( pidMsg @ C ) )
= ( host @ ( pidMsg @ A ) ) ) )
=> ( leq @ ( pidMsg @ A ) @ ( pidMsg @ C ) ) ) )
=> ( ordered @ ( cons @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(4872,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( snoc @ B @ A ) )
!= ( elem @ ( m_Ldr @ sk9 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[331,695]) ).
thf(4939,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Ldr @ sk9 ) )
| ( ( snoc @ B @ A )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[4872]) ).
thf(5010,plain,
! [A: $i] :
( ( snoc @ A @ ( m_Ldr @ sk9 ) )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[4939]) ).
thf(5100,plain,
! [B: $i,A: $i] :
( ( ( cons @ A @ q_nil )
!= ( queue @ nbr_proc ) )
| ( ( snoc @ q_nil @ A )
!= ( snoc @ B @ ( m_Ldr @ sk9 ) ) ) ),
inference(paramod_ordered,[status(thm)],[361,5010]) ).
thf(5101,plain,
( ( cons @ ( m_Ldr @ sk9 ) @ q_nil )
!= ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[5100:[bind(A,$thf( m_Ldr @ sk9 )),bind(B,$thf( q_nil ))]]) ).
thf(96,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ A ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ C @ alive )
| ( ( host @ B )
!= ( host @ A ) )
| ( ( host @ D )
!= ( host @ C ) )
| ~ ( elem @ ( m_Down @ D ) @ ( queue @ ( host @ A ) ) )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ C ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(115,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ A ) )
| ( ( host @ B )
!= ( host @ A ) )
| ( ( host @ D )
!= ( host @ C ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ C @ alive )
| ~ ( elem @ ( m_Down @ D ) @ ( queue @ ( host @ A ) ) )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ C ) ) ) ),
inference(lifteq,[status(thm)],[96]) ).
thf(116,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ A ) )
| ( ( host @ B )
!= ( host @ A ) )
| ( ( host @ D )
!= ( host @ C ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ C @ alive )
| ~ ( elem @ ( m_Down @ D ) @ ( queue @ ( host @ A ) ) )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ C ) ) ) ),
inference(simp,[status(thm)],[115]) ).
thf(690,plain,
! [A: $i] :
( ~ ( elem @ ( m_Ldr @ A ) @ ( queue @ nbr_proc ) )
| ( ( host @ sk3 )
!= ( host @ A ) ) ),
inference(paramod_ordered,[status(thm)],[460,686]) ).
thf(691,plain,
~ ( elem @ ( m_Ldr @ sk3 ) @ ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[690:[bind(A,$thf( sk3 ))]]) ).
thf(2010,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( cons @ A @ B ) )
!= ( elem @ ( m_Ldr @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[242,691]) ).
thf(2023,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Ldr @ sk3 ) )
| ( ( cons @ A @ B )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2010]) ).
thf(2103,plain,
! [A: $i] :
( ( cons @ ( m_Ldr @ sk3 ) @ A )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[2023]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_Halt @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(312,plain,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_Halt @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(290,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
= ( m_NormQ @ C ) ),
inference(miniscope,[status(thm)],[289]) ).
thf(291,plain,
! [C: $i,B: $i,A: $i] :
( ( m_Ack @ A @ B )
!= ( m_NormQ @ C ) ),
inference(cnf,[status(esa)],[290]) ).
thf(292,plain,
! [C: $i,B: $i,A: $i] :
( ( m_Ack @ A @ B )
!= ( m_NormQ @ C ) ),
inference(lifteq,[status(thm)],[291]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( ordered @ A )
=> ( ordered @ ( snoc @ A @ ( m_Ldr @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
thf(233,plain,
! [A: $i,B: $i] :
( ( ordered @ A )
=> ( ordered @ ( snoc @ A @ ( m_Ldr @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(21,axiom,
! [A: $i] : ( leq @ ( host @ A ) @ nbr_proc ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
thf(200,plain,
! [A: $i] : ( leq @ ( host @ A ) @ nbr_proc ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(201,plain,
! [A: $i] : ( leq @ ( host @ A ) @ nbr_proc ),
inference(cnf,[status(esa)],[200]) ).
thf(313,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
= ( m_Halt @ C ) ),
inference(miniscope,[status(thm)],[312]) ).
thf(314,plain,
! [C: $i,B: $i,A: $i] :
( ( m_Ack @ A @ B )
!= ( m_Halt @ C ) ),
inference(cnf,[status(esa)],[313]) ).
thf(315,plain,
! [C: $i,B: $i,A: $i] :
( ( m_Ack @ A @ B )
!= ( m_Halt @ C ) ),
inference(lifteq,[status(thm)],[314]) ).
thf(5137,plain,
! [C: $i,B: $i,A: $i] :
( ( ( head @ ( queue @ nbr_proc ) )
!= ( m_Halt @ C ) )
| ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ack @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5115,315]) ).
thf(5138,plain,
! [A: $i] :
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Halt @ A ) ),
inference(pattern_uni,[status(thm)],[5137:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(5142,plain,
! [A: $i] :
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Halt @ A ) ),
inference(simp,[status(thm)],[5138]) ).
thf(62,axiom,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_Ldr @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(381,plain,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_Ldr @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(4857,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( snoc @ B @ A ) )
!= ( elem @ ( m_Down @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[331,1761]) ).
thf(4928,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Down @ sk3 ) )
| ( ( snoc @ B @ A )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[4857]) ).
thf(4999,plain,
! [A: $i] :
( ( snoc @ A @ ( m_Down @ sk3 ) )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[4928]) ).
thf(91,plain,
! [B: $i,A: $i] :
( ( ( host @ B )
!= nbr_proc )
| ~ ( elem @ ( m_NotNorm @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(102,plain,
! [B: $i,A: $i] :
( ( ( host @ B )
!= nbr_proc )
| ~ ( elem @ ( m_NotNorm @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(lifteq,[status(thm)],[91]) ).
thf(103,plain,
! [B: $i,A: $i] :
( ( ( host @ B )
!= nbr_proc )
| ~ ( elem @ ( m_NotNorm @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(simp,[status(thm)],[102]) ).
thf(704,plain,
! [B: $i,A: $i] :
( ~ ( elem @ ( m_NotNorm @ A ) @ ( queue @ ( host @ B ) ) )
| ( ( host @ sk3 )
!= ( host @ B ) ) ),
inference(paramod_ordered,[status(thm)],[460,103]) ).
thf(705,plain,
! [A: $i] :
~ ( elem @ ( m_NotNorm @ A ) @ ( queue @ ( host @ sk3 ) ) ),
inference(pattern_uni,[status(thm)],[704:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(728,plain,
! [A: $i] :
~ ( elem @ ( m_NotNorm @ A ) @ ( queue @ nbr_proc ) ),
inference(rewrite,[status(thm)],[705,460]) ).
thf(2146,plain,
! [A: $i] :
( ( elem @ ( m_Ack @ sk2 @ sk4 ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_NotNorm @ A ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[2006,728]) ).
thf(2183,plain,
! [A: $i] :
( ( ( m_Ack @ sk2 @ sk4 )
!= ( m_NotNorm @ A ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2146]) ).
thf(2214,plain,
! [A: $i] :
( ( m_Ack @ sk2 @ sk4 )
!= ( m_NotNorm @ A ) ),
inference(simp,[status(thm)],[2183]) ).
thf(5122,plain,
! [A: $i] :
( ( head @ ( queue @ nbr_proc ) )
!= ( m_NotNorm @ A ) ),
inference(rewrite,[status(thm)],[2214,5115]) ).
thf(47,axiom,
! [A: $i,B: $i] :
( ( leq @ A @ B )
| ( leq @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
thf(334,plain,
! [A: $i,B: $i] :
( ( leq @ A @ B )
| ( leq @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(82,plain,
! [A: $i] :
( ( leq @ ( host @ sk9 ) @ A )
| ~ ( leq @ ( s @ zero ) @ A )
| ( setIn @ A @ ( index @ down @ ( host @ sk9 ) ) )
| ( A
= ( host @ sk8 ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(123,plain,
! [A: $i] :
( ( A
= ( host @ sk8 ) )
| ( leq @ ( host @ sk9 ) @ A )
| ~ ( leq @ ( s @ zero ) @ A )
| ( setIn @ A @ ( index @ down @ ( host @ sk9 ) ) ) ),
inference(lifteq,[status(thm)],[82]) ).
thf(124,plain,
! [A: $i] :
( ( A
= ( host @ sk8 ) )
| ( leq @ ( host @ sk9 ) @ A )
| ~ ( leq @ ( s @ zero ) @ A )
| ( setIn @ A @ ( index @ down @ ( host @ sk9 ) ) ) ),
inference(simp,[status(thm)],[123]) ).
thf(2249,plain,
! [A: $i] :
( ( A
= ( host @ sk8 ) )
| ( leq @ nbr_proc @ A )
| ~ ( leq @ ( s @ zero ) @ A )
| ( setIn @ A @ ( index @ down @ nbr_proc ) ) ),
inference(rewrite,[status(thm)],[124,104]) ).
thf(51,axiom,
! [A: $i,B: $i] :
( ( m_Down @ A )
!= ( m_NormQ @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
thf(346,plain,
! [A: $i,B: $i] :
( ( m_Down @ A )
!= ( m_NormQ @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(347,plain,
~ ? [A: $i,B: $i] :
( ( m_Down @ A )
= ( m_NormQ @ B ) ),
inference(miniscope,[status(thm)],[346]) ).
thf(348,plain,
! [B: $i,A: $i] :
( ( m_Down @ A )
!= ( m_NormQ @ B ) ),
inference(cnf,[status(esa)],[347]) ).
thf(349,plain,
! [B: $i,A: $i] :
( ( m_Down @ A )
!= ( m_NormQ @ B ) ),
inference(lifteq,[status(thm)],[348]) ).
thf(154,plain,
( ! [A: $i,B: $i] :
( ( A != B )
=> ( ( m_Halt @ A )
!= ( m_Halt @ B ) ) )
& ! [A: $i,B: $i] :
( ( ( m_Halt @ A )
!= ( m_Halt @ B ) )
=> ( A != B ) ) ),
inference(miniscope,[status(thm)],[153]) ).
thf(156,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_Halt @ A )
!= ( m_Halt @ B ) ) ),
inference(cnf,[status(esa)],[154]) ).
thf(159,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_Halt @ A )
!= ( m_Halt @ B ) ) ),
inference(lifteq,[status(thm)],[156]) ).
thf(160,plain,
! [A: $i] :
( ( sk11 @ ( m_Halt @ A ) )
= A ),
introduced(tautology,[new_symbols(inverse(m_Halt),[sk11])]) ).
thf(68,axiom,
! [A: $i,B: $i] :
( ( m_Down @ A )
!= ( m_Ldr @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
thf(424,plain,
! [A: $i,B: $i] :
( ( m_Down @ A )
!= ( m_Ldr @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( m_NormQ @ A )
!= ( m_Halt @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
thf(165,plain,
! [A: $i,B: $i] :
( ( m_NormQ @ A )
!= ( m_Halt @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(92,plain,
setIn @ sk6 @ alive,
inference(cnf,[status(esa)],[70]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( m_Down @ A )
!= ( m_Halt @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(226,plain,
! [A: $i,B: $i] :
( ( m_Down @ A )
!= ( m_Halt @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(227,plain,
~ ? [A: $i,B: $i] :
( ( m_Down @ A )
= ( m_Halt @ B ) ),
inference(miniscope,[status(thm)],[226]) ).
thf(228,plain,
! [B: $i,A: $i] :
( ( m_Down @ A )
!= ( m_Halt @ B ) ),
inference(cnf,[status(esa)],[227]) ).
thf(229,plain,
! [B: $i,A: $i] :
( ( m_Down @ A )
!= ( m_Halt @ B ) ),
inference(lifteq,[status(thm)],[228]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_NotNorm @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(194,plain,
! [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
!= ( m_NotNorm @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(195,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( m_Ack @ A @ B )
= ( m_NotNorm @ C ) ),
inference(miniscope,[status(thm)],[194]) ).
thf(196,plain,
! [C: $i,B: $i,A: $i] :
( ( m_Ack @ A @ B )
!= ( m_NotNorm @ C ) ),
inference(cnf,[status(esa)],[195]) ).
thf(197,plain,
! [C: $i,B: $i,A: $i] :
( ( m_Ack @ A @ B )
!= ( m_NotNorm @ C ) ),
inference(lifteq,[status(thm)],[196]) ).
thf(90,plain,
( ( host @ sk3 )
!= ( host @ sk6 ) ),
inference(cnf,[status(esa)],[70]) ).
thf(129,plain,
( ( host @ sk6 )
!= ( host @ sk3 ) ),
inference(lifteq,[status(thm)],[90]) ).
thf(461,plain,
( ( host @ sk6 )
!= nbr_proc ),
inference(rewrite,[status(thm)],[129,460]) ).
thf(2001,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( cons @ A @ B ) )
!= ( elem @ ( m_Down @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[242,1771]) ).
thf(2032,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Down @ sk7 ) )
| ( ( cons @ A @ B )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2001]) ).
thf(2112,plain,
! [A: $i] :
( ( cons @ ( m_Down @ sk7 ) @ A )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[2032]) ).
thf(322,plain,
~ ? [A: $i,B: $i] :
( ( m_Ldr @ A )
= ( m_NormQ @ B ) ),
inference(miniscope,[status(thm)],[321]) ).
thf(323,plain,
! [B: $i,A: $i] :
( ( m_Ldr @ A )
!= ( m_NormQ @ B ) ),
inference(cnf,[status(esa)],[322]) ).
thf(324,plain,
! [B: $i,A: $i] :
( ( m_Ldr @ A )
!= ( m_NormQ @ B ) ),
inference(lifteq,[status(thm)],[323]) ).
thf(64,axiom,
! [A: $i,B: $i] :
( ( ordered @ ( snoc @ B @ A ) )
<=> ( ( ordered @ B )
& ! [C: $i] :
( ( ( elem @ C @ B )
& ( pidElem @ A )
& ( pidElem @ C )
& ( ( host @ ( pidMsg @ C ) )
= ( host @ ( pidMsg @ A ) ) ) )
=> ( leq @ ( pidMsg @ C ) @ ( pidMsg @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
thf(388,plain,
! [A: $i,B: $i] :
( ( ( ordered @ ( snoc @ B @ A ) )
=> ( ( ordered @ B )
& ! [C: $i] :
( ( ( elem @ C @ B )
& ( pidElem @ A )
& ( pidElem @ C )
& ( ( host @ ( pidMsg @ C ) )
= ( host @ ( pidMsg @ A ) ) ) )
=> ( leq @ ( pidMsg @ C ) @ ( pidMsg @ A ) ) ) ) )
& ( ( ( ordered @ B )
& ! [C: $i] :
( ( ( elem @ C @ B )
& ( pidElem @ A )
& ( pidElem @ C )
& ( ( host @ ( pidMsg @ C ) )
= ( host @ ( pidMsg @ A ) ) ) )
=> ( leq @ ( pidMsg @ C ) @ ( pidMsg @ A ) ) ) )
=> ( ordered @ ( snoc @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(1138,plain,
zero != nbr_proc,
inference(simp,[status(thm)],[1137]) ).
thf(12,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
thf(169,plain,
elec_1 != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(66,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( m_Ldr @ A )
!= ( m_Ldr @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(413,plain,
! [A: $i,B: $i] :
( ( ( A != B )
=> ( ( m_Ldr @ A )
!= ( m_Ldr @ B ) ) )
& ( ( ( m_Ldr @ A )
!= ( m_Ldr @ B ) )
=> ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(414,plain,
( ! [A: $i,B: $i] :
( ( A != B )
=> ( ( m_Ldr @ A )
!= ( m_Ldr @ B ) ) )
& ! [A: $i,B: $i] :
( ( ( m_Ldr @ A )
!= ( m_Ldr @ B ) )
=> ( A != B ) ) ),
inference(miniscope,[status(thm)],[413]) ).
thf(416,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_Ldr @ A )
!= ( m_Ldr @ B ) ) ),
inference(cnf,[status(esa)],[414]) ).
thf(419,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_Ldr @ A )
!= ( m_Ldr @ B ) ) ),
inference(lifteq,[status(thm)],[416]) ).
thf(420,plain,
! [A: $i] :
( ( sk20 @ ( m_Ldr @ A ) )
= A ),
introduced(tautology,[new_symbols(inverse(m_Ldr),[sk20])]) ).
thf(87,plain,
! [A: $i] :
( ( ( index @ status @ ( host @ A ) )
!= elec_1 )
| ~ ( setIn @ A @ alive )
| ( ( index @ elid @ ( host @ A ) )
= A ) ),
inference(cnf,[status(esa)],[70]) ).
thf(108,plain,
! [A: $i] :
( ( ( index @ status @ ( host @ A ) )
!= elec_1 )
| ( ( index @ elid @ ( host @ A ) )
= A )
| ~ ( setIn @ A @ alive ) ),
inference(lifteq,[status(thm)],[87]) ).
thf(109,plain,
! [A: $i] :
( ( ( index @ status @ ( host @ A ) )
!= elec_1 )
| ( ( index @ elid @ ( host @ A ) )
= A )
| ~ ( setIn @ A @ alive ) ),
inference(simp,[status(thm)],[108]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( m_Ldr @ A )
!= ( m_NotNorm @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
thf(339,plain,
! [A: $i,B: $i] :
( ( m_Ldr @ A )
!= ( m_NotNorm @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( m_NotNorm @ A )
!= ( m_NotNorm @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
thf(186,plain,
! [A: $i,B: $i] :
( ( ( A != B )
=> ( ( m_NotNorm @ A )
!= ( m_NotNorm @ B ) ) )
& ( ( ( m_NotNorm @ A )
!= ( m_NotNorm @ B ) )
=> ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(187,plain,
( ! [A: $i,B: $i] :
( ( A != B )
=> ( ( m_NotNorm @ A )
!= ( m_NotNorm @ B ) ) )
& ! [A: $i,B: $i] :
( ( ( m_NotNorm @ A )
!= ( m_NotNorm @ B ) )
=> ( A != B ) ) ),
inference(miniscope,[status(thm)],[186]) ).
thf(189,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_NotNorm @ A )
!= ( m_NotNorm @ B ) ) ),
inference(cnf,[status(esa)],[187]) ).
thf(192,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( m_NotNorm @ A )
!= ( m_NotNorm @ B ) ) ),
inference(lifteq,[status(thm)],[189]) ).
thf(193,plain,
! [A: $i] :
( ( sk13 @ ( m_NotNorm @ A ) )
= A ),
introduced(tautology,[new_symbols(inverse(m_NotNorm),[sk13])]) ).
thf(5062,plain,
! [B: $i,A: $i] :
( ( ( cons @ A @ q_nil )
!= ( queue @ nbr_proc ) )
| ( ( snoc @ q_nil @ A )
!= ( snoc @ B @ ( m_Down @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[361,4999]) ).
thf(5063,plain,
( ( cons @ ( m_Down @ sk3 ) @ q_nil )
!= ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[5062:[bind(A,$thf( m_Down @ sk3 )),bind(B,$thf( q_nil ))]]) ).
thf(2004,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( cons @ A @ B ) )
!= ( elem @ ( m_Ldr @ sk9 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[242,695]) ).
thf(2045,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Ldr @ sk9 ) )
| ( ( cons @ A @ B )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2004]) ).
thf(2125,plain,
! [A: $i] :
( ( cons @ ( m_Ldr @ sk9 ) @ A )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[2045]) ).
thf(7101,plain,
( ( elem @ ( last @ ( queue @ nbr_proc ) ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Ldr @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[6462,691]) ).
thf(7155,plain,
( ( ( last @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk3 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[7101]) ).
thf(7221,plain,
( ( last @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk3 ) ),
inference(simp,[status(thm)],[7155]) ).
thf(1119,plain,
! [B: $i,A: $i] :
( ( leq @ ( host @ A ) @ nbr_proc )
!= ( leq @ ( s @ B ) @ B ) ),
inference(paramod_ordered,[status(thm)],[201,371]) ).
thf(1124,plain,
! [B: $i,A: $i] :
( ( ( host @ A )
!= ( s @ B ) )
| ( nbr_proc != B ) ),
inference(simp,[status(thm)],[1119]) ).
thf(1131,plain,
! [A: $i] :
( ( host @ A )
!= ( s @ nbr_proc ) ),
inference(simp,[status(thm)],[1124]) ).
thf(133,plain,
! [A: $i] :
( ( pidMsg @ ( m_Halt @ A ) )
= A ),
inference(cnf,[status(esa)],[132]) ).
thf(134,plain,
! [A: $i] :
( ( pidMsg @ ( m_Halt @ A ) )
= A ),
inference(lifteq,[status(thm)],[133]) ).
thf(203,plain,
~ ? [A: $i,B: $i] :
( ( m_Down @ A )
= ( m_NotNorm @ B ) ),
inference(miniscope,[status(thm)],[202]) ).
thf(204,plain,
! [B: $i,A: $i] :
( ( m_Down @ A )
!= ( m_NotNorm @ B ) ),
inference(cnf,[status(esa)],[203]) ).
thf(205,plain,
! [B: $i,A: $i] :
( ( m_Down @ A )
!= ( m_NotNorm @ B ) ),
inference(lifteq,[status(thm)],[204]) ).
thf(41,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
thf(309,plain,
elec_2 != norm,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(310,plain,
elec_2 != norm,
inference(polarity_switch,[status(thm)],[309]) ).
thf(311,plain,
norm != elec_2,
inference(lifteq,[status(thm)],[310]) ).
thf(2152,plain,
( ( elem @ ( m_Ack @ sk2 @ sk4 ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Down @ sk9 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[2006,1769]) ).
thf(2208,plain,
( ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Down @ sk9 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2152]) ).
thf(2233,plain,
( ( m_Ack @ sk2 @ sk4 )
!= ( m_Down @ sk9 ) ),
inference(simp,[status(thm)],[2208]) ).
thf(5126,plain,
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk9 ) ),
inference(rewrite,[status(thm)],[2233,5115]) ).
thf(94,plain,
! [B: $i,A: $i] :
( ( B = A )
| ( ( host @ B )
!= ( host @ A ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ B @ alive ) ),
inference(cnf,[status(esa)],[70]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ( B = A )
| ( ( host @ B )
!= ( host @ A ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ B @ alive ) ),
inference(lifteq,[status(thm)],[94]) ).
thf(128,plain,
! [B: $i,A: $i] :
( ( B = A )
| ( ( host @ B )
!= ( host @ A ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ B @ alive ) ),
inference(simp,[status(thm)],[127]) ).
thf(50,axiom,
! [A: $i] :
( ( pidMsg @ ( m_Down @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
thf(343,plain,
! [A: $i] :
( ( pidMsg @ ( m_Down @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(1121,plain,
! [B: $i,A: $i] :
( ( leq @ A @ A )
!= ( leq @ ( s @ B ) @ B ) ),
inference(paramod_ordered,[status(thm)],[261,371]) ).
thf(1128,plain,
! [B: $i,A: $i] :
( ( A
!= ( s @ B ) )
| ( A != B ) ),
inference(simp,[status(thm)],[1121]) ).
thf(1135,plain,
! [A: $i] :
( ( s @ A )
!= A ),
inference(simp,[status(thm)],[1128]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( q_nil
!= ( snoc @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
thf(146,plain,
! [A: $i,B: $i] :
( q_nil
!= ( snoc @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(147,plain,
~ ? [A: $i,B: $i] :
( q_nil
= ( snoc @ B @ A ) ),
inference(miniscope,[status(thm)],[146]) ).
thf(148,plain,
! [B: $i,A: $i] :
( q_nil
!= ( snoc @ B @ A ) ),
inference(cnf,[status(esa)],[147]) ).
thf(149,plain,
! [B: $i,A: $i] :
( ( snoc @ B @ A )
!= q_nil ),
inference(lifteq,[status(thm)],[148]) ).
thf(730,plain,
! [A: $i] :
( ( elem @ ( m_NotNorm @ A ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Down @ sk8 ) @ sk1 ) ),
inference(paramod_ordered,[status(thm)],[76,728]) ).
thf(732,plain,
! [A: $i] :
( ( ( m_NotNorm @ A )
!= ( m_Down @ sk8 ) )
| ( ( queue @ nbr_proc )
!= sk1 ) ),
inference(simp,[status(thm)],[730]) ).
thf(2132,plain,
( ( elem @ ( m_Ack @ sk2 @ sk4 ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Down @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[2006,1761]) ).
thf(2191,plain,
( ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Down @ sk3 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2132]) ).
thf(2220,plain,
( ( m_Ack @ sk2 @ sk4 )
!= ( m_Down @ sk3 ) ),
inference(simp,[status(thm)],[2191]) ).
thf(5121,plain,
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk3 ) ),
inference(rewrite,[status(thm)],[2220,5115]) ).
thf(1782,plain,
( ( elem @ ( m_Down @ sk7 ) @ ( queue @ ( host @ sk6 ) ) )
!= ( elem @ ( m_Down @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[84,1771]) ).
thf(1784,plain,
( ( ( m_Down @ sk7 )
!= ( m_Down @ sk7 ) )
| ( ( queue @ ( host @ sk6 ) )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[1782]) ).
thf(1786,plain,
( ( queue @ ( host @ sk6 ) )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[1784]) ).
thf(2147,plain,
( ( elem @ ( m_Ack @ sk2 @ sk4 ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Ldr @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[2006,691]) ).
thf(2187,plain,
( ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ldr @ sk3 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2147]) ).
thf(2217,plain,
( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ldr @ sk3 ) ),
inference(simp,[status(thm)],[2187]) ).
thf(5118,plain,
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk3 ) ),
inference(rewrite,[status(thm)],[2217,5115]) ).
thf(52,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( leq @ A @ B )
& ( leq @ B @ C ) )
=> ( leq @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
thf(350,plain,
! [A: $i,B: $i,C: $i] :
( ( ( leq @ A @ B )
& ( leq @ B @ C ) )
=> ( leq @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(2360,plain,
! [B: $i,A: $i] :
( ( B
= ( host @ sk8 ) )
| ( leq @ nbr_proc @ B )
| ( setIn @ B @ ( index @ down @ nbr_proc ) )
| ( ( leq @ A @ A )
!= ( leq @ ( s @ zero ) @ B ) ) ),
inference(paramod_ordered,[status(thm)],[261,2249]) ).
thf(2361,plain,
( ( ( s @ zero )
= ( host @ sk8 ) )
| ( leq @ nbr_proc @ ( s @ zero ) )
| ( setIn @ ( s @ zero ) @ ( index @ down @ nbr_proc ) ) ),
inference(pattern_uni,[status(thm)],[2360:[bind(A,$thf( s @ zero )),bind(B,$thf( s @ zero ))]]) ).
thf(1775,plain,
( ( elem @ ( m_Down @ sk8 ) @ sk1 )
!= ( elem @ ( m_Down @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[76,1761]) ).
thf(1777,plain,
( ( ( m_Down @ sk8 )
!= ( m_Down @ sk3 ) )
| ( ( queue @ nbr_proc )
!= sk1 ) ),
inference(simp,[status(thm)],[1775]) ).
thf(1806,plain,
( ( sk8 != sk3 )
| ( ( queue @ nbr_proc )
!= sk1 ) ),
inference(simp,[status(thm)],[1777]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( tail @ ( cons @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
thf(230,plain,
! [A: $i,B: $i] :
( ( tail @ ( cons @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(231,plain,
! [B: $i,A: $i] :
( ( tail @ ( cons @ A @ B ) )
= B ),
inference(cnf,[status(esa)],[230]) ).
thf(232,plain,
! [B: $i,A: $i] :
( ( tail @ ( cons @ A @ B ) )
= B ),
inference(lifteq,[status(thm)],[231]) ).
thf(1800,plain,
! [B: $i,A: $i] :
( ( ( tail @ ( queue @ nbr_proc ) )
= B )
| ( ( cons @ ( m_Ack @ sk2 @ sk4 ) @ sk1 )
!= ( cons @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[495,232]) ).
thf(1801,plain,
( ( tail @ ( queue @ nbr_proc ) )
= sk1 ),
inference(pattern_uni,[status(thm)],[1800:[bind(A,$thf( m_Ack @ sk2 @ sk4 )),bind(B,$thf( sk1 ))]]) ).
thf(56,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_05) ).
thf(362,plain,
elec_1 != elec_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i] :
( ( ordered @ A )
=> ( ordered @ ( snoc @ A @ ( m_Ack @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
thf(318,plain,
! [A: $i,B: $i,C: $i] :
( ( ordered @ A )
=> ( ordered @ ( snoc @ A @ ( m_Ack @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( last @ ( snoc @ B @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(143,plain,
! [A: $i,B: $i] :
( ( last @ ( snoc @ B @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(144,plain,
! [B: $i,A: $i] :
( ( last @ ( snoc @ B @ A ) )
= A ),
inference(cnf,[status(esa)],[143]) ).
thf(145,plain,
! [B: $i,A: $i] :
( ( last @ ( snoc @ B @ A ) )
= A ),
inference(lifteq,[status(thm)],[144]) ).
thf(1689,plain,
! [C: $i,B: $i,A: $i] :
( ( ( last @ ( cons @ A @ q_nil ) )
= B )
| ( ( snoc @ q_nil @ A )
!= ( snoc @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[361,145]) ).
thf(1690,plain,
! [A: $i] :
( ( last @ ( cons @ A @ q_nil ) )
= A ),
inference(pattern_uni,[status(thm)],[1689:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(207,plain,
elec_1 != norm,
inference(polarity_switch,[status(thm)],[206]) ).
thf(208,plain,
norm != elec_1,
inference(lifteq,[status(thm)],[207]) ).
thf(89,plain,
( ( index @ status @ ( host @ sk9 ) )
= elec_1 ),
inference(cnf,[status(esa)],[70]) ).
thf(112,plain,
( ( index @ status @ ( host @ sk9 ) )
= elec_1 ),
inference(lifteq,[status(thm)],[89]) ).
thf(494,plain,
( ( index @ status @ nbr_proc )
= elec_1 ),
inference(rewrite,[status(thm)],[112,104]) ).
thf(344,plain,
! [A: $i] :
( ( pidMsg @ ( m_Down @ A ) )
= A ),
inference(cnf,[status(esa)],[343]) ).
thf(345,plain,
! [A: $i] :
( ( pidMsg @ ( m_Down @ A ) )
= A ),
inference(lifteq,[status(thm)],[344]) ).
thf(2015,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( cons @ A @ B ) )
!= ( elem @ ( m_Down @ sk9 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[242,1769]) ).
thf(2031,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Down @ sk9 ) )
| ( ( cons @ A @ B )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2015]) ).
thf(2111,plain,
! [A: $i] :
( ( cons @ ( m_Down @ sk9 ) @ A )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[2031]) ).
thf(247,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Halt @ B ) )
| ( pidElem @ A ) ),
inference(cnf,[status(esa)],[246]) ).
thf(250,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Halt @ B ) )
| ( pidElem @ A ) ),
inference(lifteq,[status(thm)],[247]) ).
thf(251,plain,
! [A: $i] : ( pidElem @ ( m_Halt @ A ) ),
inference(simp,[status(thm)],[250]) ).
thf(7079,plain,
( ( elem @ ( last @ ( queue @ nbr_proc ) ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Ldr @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[6462,697]) ).
thf(7108,plain,
( ( ( last @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk7 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[7079]) ).
thf(7186,plain,
( ( last @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk7 ) ),
inference(simp,[status(thm)],[7108]) ).
thf(1698,plain,
! [C: $i,B: $i,A: $i] :
( ( ( init @ ( cons @ A @ q_nil ) )
= C )
| ( ( snoc @ q_nil @ A )
!= ( snoc @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[361,152]) ).
thf(1699,plain,
! [A: $i] :
( ( init @ ( cons @ A @ q_nil ) )
= q_nil ),
inference(pattern_uni,[status(thm)],[1698:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(5127,plain,
! [C: $i,B: $i,A: $i] :
( ( ( head @ ( queue @ nbr_proc ) )
!= ( m_NormQ @ C ) )
| ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ack @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5115,292]) ).
thf(5128,plain,
! [A: $i] :
( ( head @ ( queue @ nbr_proc ) )
!= ( m_NormQ @ A ) ),
inference(pattern_uni,[status(thm)],[5127:[bind(A,$thf( sk2 )),bind(B,$thf( sk4 ))]]) ).
thf(5139,plain,
! [A: $i] :
( ( head @ ( queue @ nbr_proc ) )
!= ( m_NormQ @ A ) ),
inference(simp,[status(thm)],[5128]) ).
thf(340,plain,
~ ? [A: $i,B: $i] :
( ( m_Ldr @ A )
= ( m_NotNorm @ B ) ),
inference(miniscope,[status(thm)],[339]) ).
thf(341,plain,
! [B: $i,A: $i] :
( ( m_Ldr @ A )
!= ( m_NotNorm @ B ) ),
inference(cnf,[status(esa)],[340]) ).
thf(342,plain,
! [B: $i,A: $i] :
( ( m_Ldr @ A )
!= ( m_NotNorm @ B ) ),
inference(lifteq,[status(thm)],[341]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( ( host @ A )
!= ( host @ B ) )
=> ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).
thf(355,plain,
! [A: $i,B: $i] :
( ( ( host @ A )
!= ( host @ B ) )
=> ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(484,plain,
( ( host @ sk7 )
!= ( host @ sk6 ) ),
inference(paramod_ordered,[status(thm)],[447,461]) ).
thf(487,plain,
sk7 != sk6,
inference(simp,[status(thm)],[484]) ).
thf(2143,plain,
( ( elem @ ( m_Ack @ sk2 @ sk4 ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Ldr @ sk9 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[2006,695]) ).
thf(2176,plain,
( ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ldr @ sk9 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2143]) ).
thf(2209,plain,
( ( m_Ack @ sk2 @ sk4 )
!= ( m_Ldr @ sk9 ) ),
inference(simp,[status(thm)],[2176]) ).
thf(5125,plain,
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Ldr @ sk9 ) ),
inference(rewrite,[status(thm)],[2209,5115]) ).
thf(7081,plain,
( ( elem @ ( last @ ( queue @ nbr_proc ) ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Down @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[6462,1771]) ).
thf(7124,plain,
( ( ( last @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk7 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[7081]) ).
thf(7196,plain,
( ( last @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk7 ) ),
inference(simp,[status(thm)],[7124]) ).
thf(437,plain,
( ( setIn @ sk6 @ alive )
!= ( setIn @ nil @ alive ) ),
inference(paramod_ordered,[status(thm)],[92,173]) ).
thf(439,plain,
( ( sk6 != nil )
| ( alive != alive ) ),
inference(simp,[status(thm)],[437]) ).
thf(441,plain,
sk6 != nil,
inference(simp,[status(thm)],[439]) ).
thf(1578,plain,
! [C: $i,B: $i,A: $i] :
( ( ( cons @ A @ q_nil )
!= q_nil )
| ( ( snoc @ q_nil @ A )
!= ( snoc @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[361,149]) ).
thf(1579,plain,
! [A: $i] :
( ( cons @ A @ q_nil )
!= q_nil ),
inference(pattern_uni,[status(thm)],[1578:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C != D )
=> ( ( m_Ack @ A @ C )
!= ( m_Ack @ B @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
thf(175,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C != D )
=> ( ( m_Ack @ A @ C )
!= ( m_Ack @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(176,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C = D )
| ( ( m_Ack @ A @ C )
!= ( m_Ack @ B @ D ) ) ),
inference(cnf,[status(esa)],[175]) ).
thf(177,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C = D )
| ( ( m_Ack @ A @ C )
!= ( m_Ack @ B @ D ) ) ),
inference(lifteq,[status(thm)],[176]) ).
thf(180,plain,
~ ? [A: $i,B: $i] :
( ( m_NotNorm @ A )
= ( m_Halt @ B ) ),
inference(miniscope,[status(thm)],[179]) ).
thf(181,plain,
! [B: $i,A: $i] :
( ( m_NotNorm @ A )
!= ( m_Halt @ B ) ),
inference(cnf,[status(esa)],[180]) ).
thf(182,plain,
! [B: $i,A: $i] :
( ( m_NotNorm @ A )
!= ( m_Halt @ B ) ),
inference(lifteq,[status(thm)],[181]) ).
thf(4878,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( snoc @ B @ A ) )
!= ( elem @ ( m_Ldr @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[331,691]) ).
thf(4898,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Ldr @ sk3 ) )
| ( ( snoc @ B @ A )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[4878]) ).
thf(4969,plain,
! [A: $i] :
( ( snoc @ A @ ( m_Ldr @ sk3 ) )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[4898]) ).
thf(5029,plain,
! [B: $i,A: $i] :
( ( ( cons @ A @ q_nil )
!= ( queue @ nbr_proc ) )
| ( ( snoc @ q_nil @ A )
!= ( snoc @ B @ ( m_Ldr @ sk3 ) ) ) ),
inference(paramod_ordered,[status(thm)],[361,4969]) ).
thf(5030,plain,
( ( cons @ ( m_Ldr @ sk3 ) @ q_nil )
!= ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[5029:[bind(A,$thf( m_Ldr @ sk3 )),bind(B,$thf( q_nil ))]]) ).
thf(1779,plain,
( ( elem @ ( m_Down @ sk9 ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Down @ sk8 ) @ sk1 ) ),
inference(paramod_ordered,[status(thm)],[76,1769]) ).
thf(1781,plain,
( ( ( m_Down @ sk9 )
!= ( m_Down @ sk8 ) )
| ( ( queue @ nbr_proc )
!= sk1 ) ),
inference(simp,[status(thm)],[1779]) ).
thf(2128,plain,
( ( sk9 != sk8 )
| ( ( queue @ nbr_proc )
!= sk1 ) ),
inference(simp,[status(thm)],[1781]) ).
thf(48,axiom,
! [A: $i,B: $i,C: $i] :
( ( snoc @ ( cons @ A @ C ) @ B )
= ( cons @ A @ ( snoc @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
thf(336,plain,
! [A: $i,B: $i,C: $i] :
( ( snoc @ ( cons @ A @ C ) @ B )
= ( cons @ A @ ( snoc @ C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(5716,plain,
! [A: $i] :
( ( elem @ ( last @ A ) @ A )
| ( A != sk1 ) ),
inference(paramod_ordered,[status(thm)],[5431,507]) ).
thf(5717,plain,
elem @ ( last @ sk1 ) @ sk1,
inference(pattern_uni,[status(thm)],[5716:[bind(A,$thf( sk1 ))]]) ).
thf(7106,plain,
( ( elem @ ( last @ ( queue @ nbr_proc ) ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Down @ sk9 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[6462,1769]) ).
thf(7160,plain,
( ( ( last @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk9 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[7106]) ).
thf(7224,plain,
( ( last @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk9 ) ),
inference(simp,[status(thm)],[7160]) ).
thf(1139,plain,
! [A: $i] :
( ( ( s @ nbr_proc )
!= nbr_proc )
| ( ( host @ sk3 )
!= ( host @ A ) ) ),
inference(paramod_ordered,[status(thm)],[460,1131]) ).
thf(1140,plain,
( ( s @ nbr_proc )
!= nbr_proc ),
inference(pattern_uni,[status(thm)],[1139:[bind(A,$thf( sk3 ))]]) ).
thf(2009,plain,
! [C: $i,B: $i,A: $i] :
( ( elem @ A @ ( cons @ A @ B ) )
!= ( elem @ ( m_NotNorm @ C ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[242,728]) ).
thf(2064,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( m_NotNorm @ C ) )
| ( ( cons @ A @ B )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2009]) ).
thf(2088,plain,
! [B: $i,A: $i] :
( ( cons @ ( m_NotNorm @ B ) @ A )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[2064]) ).
thf(85,plain,
! [A: $i] :
( ( ( index @ status @ ( host @ A ) )
!= elec_2 )
| ~ ( setIn @ A @ alive )
| ( ( index @ elid @ ( host @ A ) )
= A ) ),
inference(cnf,[status(esa)],[70]) ).
thf(98,plain,
! [A: $i] :
( ( ( index @ status @ ( host @ A ) )
!= elec_2 )
| ( ( index @ elid @ ( host @ A ) )
= A )
| ~ ( setIn @ A @ alive ) ),
inference(lifteq,[status(thm)],[85]) ).
thf(99,plain,
! [A: $i] :
( ( ( index @ status @ ( host @ A ) )
!= elec_2 )
| ( ( index @ elid @ ( host @ A ) )
= A )
| ~ ( setIn @ A @ alive ) ),
inference(simp,[status(thm)],[98]) ).
thf(71,plain,
( ( ( index @ elid @ ( host @ sk3 ) )
!= sk2 )
| ( ( index @ status @ ( host @ sk3 ) )
!= elec_2 )
| ( ( host @ sk4 )
!= ( index @ pendack @ ( host @ sk3 ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(117,plain,
( ( ( index @ elid @ ( host @ sk3 ) )
!= sk2 )
| ( ( index @ status @ ( host @ sk3 ) )
!= elec_2 )
| ( ( index @ pendack @ ( host @ sk3 ) )
!= ( host @ sk4 ) ) ),
inference(lifteq,[status(thm)],[71]) ).
thf(1649,plain,
( ( ( index @ elid @ nbr_proc )
!= sk2 )
| ( ( index @ status @ nbr_proc )
!= elec_2 )
| ( ( index @ pendack @ nbr_proc )
!= ( host @ sk4 ) ) ),
inference(rewrite,[status(thm)],[117,460]) ).
thf(5938,plain,
! [B: $i,A: $i] :
( ( elem @ ( last @ A ) @ A )
| ( q_nil != B )
| ( A
!= ( s @ B ) ) ),
inference(paramod_ordered,[status(thm)],[5431,1135]) ).
thf(5939,plain,
! [A: $i] :
( ( elem @ ( last @ ( s @ A ) ) @ ( s @ A ) )
| ( q_nil != A ) ),
inference(pattern_uni,[status(thm)],[5938:[bind(A,$thf( s @ C )),bind(B,$thf( C ))]]) ).
thf(6846,plain,
elem @ ( last @ ( s @ q_nil ) ) @ ( s @ q_nil ),
inference(simp,[status(thm)],[5939]) ).
thf(2002,plain,
! [C: $i,B: $i,A: $i] :
( ( elem @ A @ ( cons @ A @ B ) )
!= ( elem @ C @ q_nil ) ),
inference(paramod_ordered,[status(thm)],[242,387]) ).
thf(2030,plain,
! [C: $i,B: $i,A: $i] :
( ( A != C )
| ( ( cons @ A @ B )
!= q_nil ) ),
inference(simp,[status(thm)],[2002]) ).
thf(2110,plain,
! [B: $i,A: $i] :
( ( cons @ B @ A )
!= q_nil ),
inference(simp,[status(thm)],[2030]) ).
thf(5124,plain,
( ( cons @ ( head @ ( queue @ nbr_proc ) ) @ sk1 )
= ( queue @ nbr_proc ) ),
inference(rewrite,[status(thm)],[495,5115]) ).
thf(77,plain,
! [C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ B ) )
| ~ ( setIn @ C @ alive )
| ( ( host @ C )
!= ( host @ A ) )
| ( ( index @ status @ ( host @ C ) )
!= norm )
| ( ( index @ ldr @ ( host @ C ) )
!= ( host @ B ) )
| ~ ( elem @ ( m_Down @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(113,plain,
! [C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ B ) )
| ( ( host @ C )
!= ( host @ A ) )
| ( ( index @ status @ ( host @ C ) )
!= norm )
| ( ( index @ ldr @ ( host @ C ) )
!= ( host @ B ) )
| ~ ( setIn @ C @ alive )
| ~ ( elem @ ( m_Down @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(lifteq,[status(thm)],[77]) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ B ) )
| ( ( host @ C )
!= ( host @ A ) )
| ( ( index @ status @ ( host @ C ) )
!= norm )
| ( ( index @ ldr @ ( host @ C ) )
!= ( host @ B ) )
| ~ ( setIn @ C @ alive )
| ~ ( elem @ ( m_Down @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(simp,[status(thm)],[113]) ).
thf(170,plain,
elec_1 != wait,
inference(polarity_switch,[status(thm)],[169]) ).
thf(171,plain,
wait != elec_1,
inference(lifteq,[status(thm)],[170]) ).
thf(4867,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( snoc @ B @ A ) )
!= ( elem @ ( m_Ldr @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[331,697]) ).
thf(4938,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Ldr @ sk7 ) )
| ( ( snoc @ B @ A )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[4867]) ).
thf(5009,plain,
! [A: $i] :
( ( snoc @ A @ ( m_Ldr @ sk7 ) )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[4938]) ).
thf(5086,plain,
! [B: $i,A: $i] :
( ( ( cons @ A @ q_nil )
!= ( queue @ nbr_proc ) )
| ( ( snoc @ q_nil @ A )
!= ( snoc @ B @ ( m_Ldr @ sk7 ) ) ) ),
inference(paramod_ordered,[status(thm)],[361,5009]) ).
thf(5087,plain,
( ( cons @ ( m_Ldr @ sk7 ) @ q_nil )
!= ( queue @ nbr_proc ) ),
inference(pattern_uni,[status(thm)],[5086:[bind(A,$thf( m_Ldr @ sk7 )),bind(B,$thf( q_nil ))]]) ).
thf(61,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( ordered @ ( cons @ ( m_Halt @ B ) @ A ) )
& ( ( host @ B )
= ( host @ C ) )
& ( elem @ ( m_Down @ C ) @ A ) )
=> ( leq @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
thf(378,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ordered @ ( cons @ ( m_Halt @ B ) @ A ) )
& ( ( host @ B )
= ( host @ C ) )
& ( elem @ ( m_Down @ C ) @ A ) )
=> ( leq @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(1993,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( cons @ A @ B ) )
!= ( elem @ ( m_Down @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[242,1761]) ).
thf(2040,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Down @ sk3 ) )
| ( ( cons @ A @ B )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[1993]) ).
thf(2120,plain,
! [A: $i] :
( ( cons @ ( m_Down @ sk3 ) @ A )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[2040]) ).
thf(2140,plain,
( ( elem @ ( m_Ack @ sk2 @ sk4 ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Down @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[2006,1771]) ).
thf(2164,plain,
( ( ( m_Ack @ sk2 @ sk4 )
!= ( m_Down @ sk7 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[2140]) ).
thf(2242,plain,
( ( m_Ack @ sk2 @ sk4 )
!= ( m_Down @ sk7 ) ),
inference(simp,[status(thm)],[2164]) ).
thf(5119,plain,
( ( head @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk7 ) ),
inference(rewrite,[status(thm)],[2242,5115]) ).
thf(1999,plain,
! [B: $i,A: $i] :
( ( elem @ A @ ( cons @ A @ B ) )
!= ( elem @ ( m_Ldr @ sk7 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[242,697]) ).
thf(2022,plain,
! [B: $i,A: $i] :
( ( A
!= ( m_Ldr @ sk7 ) )
| ( ( cons @ A @ B )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[1999]) ).
thf(2102,plain,
! [A: $i] :
( ( cons @ ( m_Ldr @ sk7 ) @ A )
!= ( queue @ nbr_proc ) ),
inference(simp,[status(thm)],[2022]) ).
thf(166,plain,
~ ? [A: $i,B: $i] :
( ( m_NormQ @ A )
= ( m_Halt @ B ) ),
inference(miniscope,[status(thm)],[165]) ).
thf(167,plain,
! [B: $i,A: $i] :
( ( m_NormQ @ A )
!= ( m_Halt @ B ) ),
inference(cnf,[status(esa)],[166]) ).
thf(168,plain,
! [B: $i,A: $i] :
( ( m_NormQ @ A )
!= ( m_Halt @ B ) ),
inference(lifteq,[status(thm)],[167]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( elem @ ( m_Ack @ A @ B ) @ ( queue @ ( host @ A ) ) )
=> ( ( setIn @ A @ pids )
& ( setIn @ B @ pids ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
thf(183,plain,
! [A: $i,B: $i] :
( ( elem @ ( m_Ack @ A @ B ) @ ( queue @ ( host @ A ) ) )
=> ( ( setIn @ A @ pids )
& ( setIn @ B @ pids ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ B ) )
| ~ ( setIn @ C @ alive )
| ( ( host @ C )
!= ( host @ A ) )
| ( ( index @ status @ ( host @ C ) )
!= wait )
| ( ( host @ ( index @ elid @ ( host @ C ) ) )
!= ( host @ B ) )
| ~ ( elem @ ( m_Down @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(125,plain,
! [C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ B ) )
| ( ( host @ C )
!= ( host @ A ) )
| ( ( index @ status @ ( host @ C ) )
!= wait )
| ( ( host @ ( index @ elid @ ( host @ C ) ) )
!= ( host @ B ) )
| ~ ( setIn @ C @ alive )
| ~ ( elem @ ( m_Down @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(lifteq,[status(thm)],[79]) ).
thf(126,plain,
! [C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ B ) )
| ( ( host @ C )
!= ( host @ A ) )
| ( ( index @ status @ ( host @ C ) )
!= wait )
| ( ( host @ ( index @ elid @ ( host @ C ) ) )
!= ( host @ B ) )
| ~ ( setIn @ C @ alive )
| ~ ( elem @ ( m_Down @ A ) @ ( queue @ ( host @ B ) ) ) ),
inference(simp,[status(thm)],[125]) ).
thf(502,plain,
! [A: $i] :
( ( elem @ ( m_Down @ sk7 ) @ ( queue @ ( host @ sk6 ) ) )
!= ( elem @ A @ q_nil ) ),
inference(paramod_ordered,[status(thm)],[84,387]) ).
thf(504,plain,
! [A: $i] :
( ( ( m_Down @ sk7 )
!= A )
| ( ( queue @ ( host @ sk6 ) )
!= q_nil ) ),
inference(simp,[status(thm)],[502]) ).
thf(506,plain,
( ( queue @ ( host @ sk6 ) )
!= q_nil ),
inference(simp,[status(thm)],[504]) ).
thf(266,plain,
~ ? [A: $i,B: $i] :
( ( m_NormQ @ A )
= ( m_NotNorm @ B ) ),
inference(miniscope,[status(thm)],[265]) ).
thf(267,plain,
! [B: $i,A: $i] :
( ( m_NormQ @ A )
!= ( m_NotNorm @ B ) ),
inference(cnf,[status(esa)],[266]) ).
thf(268,plain,
! [B: $i,A: $i] :
( ( m_NormQ @ A )
!= ( m_NotNorm @ B ) ),
inference(lifteq,[status(thm)],[267]) ).
thf(425,plain,
~ ? [A: $i,B: $i] :
( ( m_Down @ A )
= ( m_Ldr @ B ) ),
inference(miniscope,[status(thm)],[424]) ).
thf(426,plain,
! [B: $i,A: $i] :
( ( m_Down @ A )
!= ( m_Ldr @ B ) ),
inference(cnf,[status(esa)],[425]) ).
thf(427,plain,
! [B: $i,A: $i] :
( ( m_Down @ A )
!= ( m_Ldr @ B ) ),
inference(lifteq,[status(thm)],[426]) ).
thf(518,plain,
! [A: $i] :
( ( ( index @ status @ ( host @ A ) )
!= elec_2 )
| ( ( index @ elid @ ( host @ A ) )
= A )
| ( ( setIn @ sk3 @ alive )
!= ( setIn @ A @ alive ) ) ),
inference(paramod_ordered,[status(thm)],[93,99]) ).
thf(519,plain,
( ( ( index @ status @ ( host @ sk3 ) )
!= elec_2 )
| ( ( index @ elid @ ( host @ sk3 ) )
= sk3 ) ),
inference(pattern_uni,[status(thm)],[518:[bind(A,$thf( sk3 ))]]) ).
thf(1582,plain,
( ( ( index @ status @ nbr_proc )
!= elec_2 )
| ( ( index @ elid @ nbr_proc )
= sk3 ) ),
inference(rewrite,[status(thm)],[519,460]) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ A ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ C @ alive )
| ( ( host @ B )
!= ( host @ A ) )
| ( ( host @ D )
!= ( host @ C ) )
| ~ ( elem @ ( m_Down @ D ) @ ( queue @ ( host @ A ) ) )
| ~ ( setIn @ ( host @ B ) @ ( index @ down @ ( host @ C ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ A ) )
| ( ( host @ B )
!= ( host @ A ) )
| ( ( host @ D )
!= ( host @ C ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ C @ alive )
| ~ ( elem @ ( m_Down @ D ) @ ( queue @ ( host @ A ) ) )
| ~ ( setIn @ ( host @ B ) @ ( index @ down @ ( host @ C ) ) ) ),
inference(lifteq,[status(thm)],[83]) ).
thf(131,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ C )
= ( host @ A ) )
| ( ( host @ B )
!= ( host @ A ) )
| ( ( host @ D )
!= ( host @ C ) )
| ~ ( setIn @ A @ alive )
| ~ ( setIn @ C @ alive )
| ~ ( elem @ ( m_Down @ D ) @ ( queue @ ( host @ A ) ) )
| ~ ( setIn @ ( host @ B ) @ ( index @ down @ ( host @ C ) ) ) ),
inference(simp,[status(thm)],[130]) ).
thf(178,plain,
! [B: $i,A: $i] :
( ( sk12 @ A @ ( m_Ack @ A @ B ) )
= B ),
introduced(tautology,[new_symbols(inverse(m_Ack),[sk12])]) ).
thf(442,plain,
sk6 != sk3,
inference(simp,[status(thm)],[129]) ).
thf(78,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( leq @ ( s @ zero ) @ ( sk5 @ D @ C @ B @ A ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(110,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ( leq @ ( s @ zero ) @ ( sk5 @ D @ C @ B @ A ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(lifteq,[status(thm)],[78]) ).
thf(111,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ( leq @ ( s @ zero ) @ ( sk5 @ D @ C @ B @ A ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(simp,[status(thm)],[110]) ).
thf(7067,plain,
( ( elem @ ( last @ ( queue @ nbr_proc ) ) @ ( queue @ nbr_proc ) )
!= ( elem @ ( m_Down @ sk3 ) @ ( queue @ nbr_proc ) ) ),
inference(paramod_ordered,[status(thm)],[6462,1761]) ).
thf(7122,plain,
( ( ( last @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk3 ) )
| ( ( queue @ nbr_proc )
!= ( queue @ nbr_proc ) ) ),
inference(simp,[status(thm)],[7067]) ).
thf(7195,plain,
( ( last @ ( queue @ nbr_proc ) )
!= ( m_Down @ sk3 ) ),
inference(simp,[status(thm)],[7122]) ).
thf(483,plain,
( ( host @ sk9 )
!= ( host @ sk6 ) ),
inference(paramod_ordered,[status(thm)],[104,461]) ).
thf(486,plain,
sk9 != sk6,
inference(simp,[status(thm)],[483]) ).
thf(75,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( setIn @ ( sk5 @ D @ C @ B @ A ) @ ( index @ down @ ( host @ D ) ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(121,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( setIn @ ( sk5 @ D @ C @ B @ A ) @ ( index @ down @ ( host @ D ) ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(lifteq,[status(thm)],[75]) ).
thf(122,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( host @ D )
!= nbr_proc )
| ( ( host @ D )
!= ( host @ B ) )
| ( ( index @ status @ ( host @ D ) )
!= elec_1 )
| ~ ( setIn @ ( sk5 @ D @ C @ B @ A ) @ ( index @ down @ ( host @ D ) ) )
| ~ ( elem @ ( m_Down @ C ) @ ( queue @ ( host @ D ) ) )
| ~ ( setIn @ A @ alive )
| ~ ( elem @ ( m_Down @ B ) @ ( queue @ ( host @ A ) ) ) ),
inference(simp,[status(thm)],[121]) ).
thf(353,plain,
norm != wait,
inference(polarity_switch,[status(thm)],[352]) ).
thf(354,plain,
wait != norm,
inference(lifteq,[status(thm)],[353]) ).
thf(363,plain,
elec_1 != elec_2,
inference(polarity_switch,[status(thm)],[362]) ).
thf(364,plain,
elec_2 != elec_1,
inference(lifteq,[status(thm)],[363]) ).
thf(215691,plain,
$false,
inference(e,[status(thm)],[69,365,101,1554,352,5141,276,440,269,202,5120,385,1137,142,500,1761,153,5123,288,174,404,3263,372,460,421,93,284,325,152,289,316,7183,261,216,164,179,321,253,1136,106,84,5045,280,221,132,265,507,206,293,5101,116,2103,312,74,292,233,201,5142,381,4999,5122,334,2249,349,160,424,165,92,229,197,361,461,2112,324,697,388,1138,169,141,420,109,339,193,686,212,5063,2125,7221,173,371,4970,1131,134,205,311,5126,128,343,1135,161,149,375,732,5121,286,281,413,1786,5118,236,350,159,2361,172,1806,377,230,245,1801,362,76,1771,318,1690,208,387,494,345,103,2111,213,251,7186,198,1699,695,135,226,5139,255,342,355,209,487,194,145,1748,5125,150,7196,5431,199,331,441,1785,359,1579,177,182,5030,2128,336,5717,143,7224,175,1140,2088,99,5115,1781,104,368,1649,6846,2110,5124,186,114,171,5010,5087,4969,1777,346,6462,119,378,2120,5119,2102,315,168,146,183,5009,447,242,126,506,268,728,427,1582,131,178,442,369,163,200,277,691,111,7195,486,122,354,1009,309,215,1769,364,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWV473+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : run_Leo-III %s %d THM
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Jun 20 15:15:40 EDT 2024
% 0.14/0.36 % CPUTime :
% 1.00/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.32/1.05 % [INFO] Parsing done (160ms).
% 1.32/1.06 % [INFO] Running in sequential loop mode.
% 1.78/1.29 % [INFO] eprover registered as external prover.
% 1.78/1.30 % [INFO] Scanning for conjecture ...
% 2.20/1.43 % [INFO] Found a conjecture (or negated_conjecture) and 66 axioms. Running axiom selection ...
% 2.51/1.53 % [INFO] Axiom selection finished. Selected 66 axioms (removed 0 axioms).
% 2.60/1.57 % [INFO] Problem is first-order (TPTP FOF).
% 2.60/1.58 % [INFO] Type checking passed.
% 2.60/1.58 % [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 ...
% 249.09/72.03 % External prover 'e' found a proof!
% 249.09/72.03 % [INFO] Killing All external provers ...
% 249.09/72.03 % Time passed: 71526ms (effective reasoning time: 70971ms)
% 249.09/72.03 % 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)>
% 249.09/72.03 % 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
% 249.09/72.03 % No. of inferences in proof: 539
% 249.09/72.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 71526 ms resp. 70971 ms w/o parsing
% 249.09/72.14 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 249.09/72.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------