%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV448+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:59:28 AM UTC 2026
% Result : Theorem 241.68s 65.58s
% Output : Refutation 243.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 81
% Syntax : Number of formulae : 507 ( 280 unt; 0 typ; 14 def)
% Number of atoms : 1678 ( 976 equ; 0 cnn)
% Maximal formula atoms : 85 ( 3 avg)
% Number of connectives : 5976 ( 802 ~; 449 |; 392 &;4113 @)
% ( 13 <=>; 207 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 52 usr; 24 con; 0-3 aty)
% Number of variables : 991 ( 5 ^; 886 !; 86 ?; 991 :)
% ( 0 !>; 0 ?*; 0 @-; 14 @+)
% Comments :
%------------------------------------------------------------------------------
thf(elem_decl,type,
elem: $i > $i > $o ).
thf(m_Ldr_decl,type,
m_Ldr: $i > $i ).
thf(queue_decl,type,
queue: $i > $i ).
thf(host_decl,type,
host: $i > $i ).
thf(leq_decl,type,
leq: $i > $i > $o ).
thf(setIn_decl,type,
setIn: $i > $i > $o ).
thf(alive_decl,type,
alive: $i ).
thf(index_decl,type,
index: $i > $i > $i ).
thf(status_decl,type,
status: $i ).
thf(elec_1_decl,type,
elec_1: $i ).
thf(elec_2_decl,type,
elec_2: $i ).
thf(elid_decl,type,
elid: $i ).
thf(ldr_decl,type,
ldr: $i ).
thf(norm_decl,type,
norm: $i ).
thf(m_Down_decl,type,
m_Down: $i > $i ).
thf(nbr_proc_decl,type,
nbr_proc: $i ).
thf(pendack_decl,type,
pendack: $i ).
thf(m_Ack_decl,type,
m_Ack: $i > $i > $i ).
thf(s_decl,type,
s: $i > $i ).
thf(zero_decl,type,
zero: $i ).
thf(down_decl,type,
down: $i ).
thf(cons_decl,type,
cons: $i > $i > $i ).
thf(wait_decl,type,
wait: $i ).
thf(setEmpty_decl,type,
setEmpty: $i ).
thf(m_NotNorm_decl,type,
m_NotNorm: $i > $i ).
thf(m_Halt_decl,type,
m_Halt: $i > $i ).
thf(m_NormQ_decl,type,
m_NormQ: $i > $i ).
thf(pidMsg_decl,type,
pidMsg: $i > $i ).
thf(last_decl,type,
last: $i > $i ).
thf(snoc_decl,type,
snoc: $i > $i > $i ).
thf(q_nil_decl,type,
q_nil: $i ).
thf(init_decl,type,
init: $i > $i ).
thf(ordered_decl,type,
ordered: $i > $o ).
thf(nil_decl,type,
nil: $i ).
thf(tail_decl,type,
tail: $i > $i ).
thf(pidElem_decl,type,
pidElem: $i > $o ).
thf(head_decl,type,
head: $i > $i ).
thf(pids_decl,type,
pids: $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i > $i > $i > $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i > $i ).
thf(sk9_decl,type,
sk9: $i > $i ).
thf(sk10_decl,type,
sk10: $i > $i ).
thf(sk13_decl,type,
sk13: $i > $i ).
thf(sk14_decl,type,
sk14: $i > $i ).
thf(sk15_decl,type,
sk15: $i > $i ).
thf(sk18_decl,type,
sk18: $i > $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ! [B: $i,C: $i] :
( ( ( ( B @ host @ queue )
= ( A @ ( C @ m_Down @ cons ) ) )
& ! [D: $i] :
( ? [E: $i,F: $i] :
( ( ( F @ host @ ( status @ index ) )
= elec_1 )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ~ ( D @ host @ ( F @ host @ leq ) )
& ! [G: $i] :
( ( ( G @ ( zero @ s @ leq ) )
& ~ ( G @ ( F @ host @ leq ) ) )
=> ( ( G
= ( E @ host ) )
| ( F @ host @ ( down @ index ) @ ( G @ setIn ) ) ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ( ? [D: $i,E: $i] :
( ( ( D @ host )
= ( E @ host @ ( pendack @ index ) ) )
& ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( E @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( E @ host @ queue @ ( D @ ( E @ m_Ack ) @ elem ) )
& ( alive @ ( E @ setIn ) ) )
=> ~ ? [D: $i] :
( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ( ? [D: $i,E: $i] :
( ( ( D @ host )
= ( E @ host @ ( pendack @ index ) ) )
& ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( E @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( E @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( E @ setIn ) ) )
=> ~ ? [D: $i] :
( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( E = D ) )
& ! [D: $i] :
( ( ( alive @ ( D @ setIn ) )
& ( ( ( D @ host @ ( status @ index ) )
= elec_2 )
| ( ( D @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( D @ host @ ( elid @ index ) )
= D ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( E != D ) )
=> ( ~ ( alive @ ( E @ setIn ) )
| ~ ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Ldr @ elem ) )
=> ~ ( E @ host @ ( D @ host @ leq ) ) ) )
=> ( ( alive @ ( B @ setIn ) )
=> ( ~ ( C @ host @ ( B @ host @ leq ) )
=> ( ~ ( ( ( ( C @ host )
= ( B @ host @ ( elid @ index ) @ host ) )
& ( ( B @ host @ ( status @ index ) )
= wait ) )
| ( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( C @ host ) ) ) )
=> ( ( ( ( B @ host @ ( status @ index ) )
= elec_1 )
& ! [D: $i] :
( ( ( D @ ( zero @ s @ leq ) )
& ~ ( D @ ( B @ host @ leq ) ) )
=> ( ( D
= ( C @ host ) )
| ( B @ host @ ( down @ index ) @ ( D @ setIn ) ) ) ) )
=> ( ( B @ host @ ( nbr_proc @ leq ) )
=> ( ~ ! [D: $i] : ( setEmpty @ ( D @ host @ setIn ) )
=> ! [D: $i] :
( ( ( B @ host )
= ( D @ host ) )
=> ! [E: $i] :
( ( ( B @ host )
!= ( E @ host ) )
=> ( ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( B @ host )
= ( D @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( E = D ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ! [B: $i] :
( ( ( ( A @ host @ queue )
= ( sk1 @ ( B @ m_Down @ cons ) ) )
& ! [C: $i] :
( ? [D: $i,E: $i] :
( ( ( E @ host @ ( status @ index ) )
= elec_1 )
& ( E @ host @ queue @ ( D @ m_Down @ elem ) )
& ~ ( C @ host @ ( E @ host @ leq ) )
& ! [F: $i] :
( ( ( F @ ( zero @ s @ leq ) )
& ~ ( F @ ( E @ host @ leq ) ) )
=> ( ( F
= ( D @ host ) )
| ( E @ host @ ( down @ index ) @ ( F @ setIn ) ) ) ) )
=> ~ ( ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( alive @ ( C @ setIn ) ) ) )
& ( ? [C: $i,D: $i] :
( ( ( C @ host )
= ( D @ host @ ( pendack @ index ) ) )
& ( ( D @ host @ ( status @ index ) )
= elec_2 )
& ( D @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( D @ host @ queue @ ( C @ ( D @ m_Ack ) @ elem ) )
& ( alive @ ( D @ setIn ) ) )
=> ~ ? [C: $i] :
( ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( alive @ ( C @ setIn ) ) ) )
& ( ? [C: $i,D: $i] :
( ( ( C @ host )
= ( D @ host @ ( pendack @ index ) ) )
& ( ( D @ host @ ( status @ index ) )
= elec_2 )
& ( D @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( D @ host @ queue @ ( C @ m_Down @ elem ) )
& ( alive @ ( D @ setIn ) ) )
=> ~ ? [C: $i] :
( ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( alive @ ( C @ setIn ) ) ) )
& ! [C: $i,D: $i] :
( ( ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( alive @ ( D @ setIn ) )
& ( alive @ ( C @ setIn ) ) )
=> ( D = C ) )
& ! [C: $i] :
( ( ( alive @ ( C @ setIn ) )
& ( ( ( C @ host @ ( status @ index ) )
= elec_2 )
| ( ( C @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( C @ host @ ( elid @ index ) )
= C ) )
& ! [C: $i,D: $i] :
( ( ( ( D @ host )
= ( C @ host ) )
& ( D != C ) )
=> ( ~ ( alive @ ( D @ setIn ) )
| ~ ( alive @ ( C @ setIn ) ) ) )
& ! [C: $i,D: $i] :
( ( C @ host @ queue @ ( D @ m_Ldr @ elem ) )
=> ~ ( D @ host @ ( C @ host @ leq ) ) ) )
=> ( ( alive @ ( A @ setIn ) )
=> ( ~ ( B @ host @ ( A @ host @ leq ) )
=> ( ~ ( ( ( ( B @ host )
= ( A @ host @ ( elid @ index ) @ host ) )
& ( ( A @ host @ ( status @ index ) )
= wait ) )
| ( ( ( A @ host @ ( status @ index ) )
= norm )
& ( ( A @ host @ ( ldr @ index ) )
= ( B @ host ) ) ) )
=> ( ( ( ( A @ host @ ( status @ index ) )
= elec_1 )
& ! [C: $i] :
( ( ( C @ ( zero @ s @ leq ) )
& ~ ( C @ ( A @ host @ leq ) ) )
=> ( ( C
= ( B @ host ) )
| ( A @ host @ ( down @ index ) @ ( C @ setIn ) ) ) ) )
=> ( ( A @ host @ ( nbr_proc @ leq ) )
=> ( ~ ! [C: $i] : ( setEmpty @ ( C @ host @ setIn ) )
=> ! [C: $i] :
( ( ( A @ host )
= ( C @ host ) )
=> ! [D: $i] :
( ( ( A @ host )
!= ( D @ host ) )
=> ( ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( ( A @ host )
= ( C @ host ) )
& ( alive @ ( D @ setIn ) )
& ( alive @ ( C @ setIn ) ) )
=> ( D = C ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ( ( ( ( sk2 @ host @ queue )
= ( sk1 @ ( A @ m_Down @ cons ) ) )
& ! [B: $i] :
( ? [C: $i,D: $i] :
( ( ( D @ host @ ( status @ index ) )
= elec_1 )
& ( D @ host @ queue @ ( C @ m_Down @ elem ) )
& ~ ( B @ host @ ( D @ host @ leq ) )
& ! [E: $i] :
( ( ( E @ ( zero @ s @ leq ) )
& ~ ( E @ ( D @ host @ leq ) ) )
=> ( ( E
= ( C @ host ) )
| ( D @ host @ ( down @ index ) @ ( E @ setIn ) ) ) ) )
=> ~ ( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( B @ host ) )
& ( alive @ ( B @ setIn ) ) ) )
& ( ? [B: $i,C: $i] :
( ( ( B @ host )
= ( C @ host @ ( pendack @ index ) ) )
& ( ( C @ host @ ( status @ index ) )
= elec_2 )
& ( C @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( C @ host @ queue @ ( B @ ( C @ m_Ack ) @ elem ) )
& ( alive @ ( C @ setIn ) ) )
=> ~ ? [B: $i] :
( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( B @ host ) )
& ( alive @ ( B @ setIn ) ) ) )
& ( ? [B: $i,C: $i] :
( ( ( B @ host )
= ( C @ host @ ( pendack @ index ) ) )
& ( ( C @ host @ ( status @ index ) )
= elec_2 )
& ( C @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( C @ host @ queue @ ( B @ m_Down @ elem ) )
& ( alive @ ( C @ setIn ) ) )
=> ~ ? [B: $i] :
( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( B @ host ) )
& ( alive @ ( B @ setIn ) ) ) )
& ! [B: $i,C: $i] :
( ( ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( B @ host ) )
& ( alive @ ( C @ setIn ) )
& ( alive @ ( B @ setIn ) ) )
=> ( C = B ) )
& ! [B: $i] :
( ( ( alive @ ( B @ setIn ) )
& ( ( ( B @ host @ ( status @ index ) )
= elec_2 )
| ( ( B @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( B @ host @ ( elid @ index ) )
= B ) )
& ! [B: $i,C: $i] :
( ( ( ( C @ host )
= ( B @ host ) )
& ( C != B ) )
=> ( ~ ( alive @ ( C @ setIn ) )
| ~ ( alive @ ( B @ setIn ) ) ) )
& ! [B: $i,C: $i] :
( ( B @ host @ queue @ ( C @ m_Ldr @ elem ) )
=> ~ ( C @ host @ ( B @ host @ leq ) ) ) )
=> ( ( alive @ ( sk2 @ setIn ) )
=> ( ~ ( A @ host @ ( sk2 @ host @ leq ) )
=> ( ~ ( ( ( ( A @ host )
= ( sk2 @ host @ ( elid @ index ) @ host ) )
& ( ( sk2 @ host @ ( status @ index ) )
= wait ) )
| ( ( ( sk2 @ host @ ( status @ index ) )
= norm )
& ( ( sk2 @ host @ ( ldr @ index ) )
= ( A @ host ) ) ) )
=> ( ( ( ( sk2 @ host @ ( status @ index ) )
= elec_1 )
& ! [B: $i] :
( ( ( B @ ( zero @ s @ leq ) )
& ~ ( B @ ( sk2 @ host @ leq ) ) )
=> ( ( B
= ( A @ host ) )
| ( sk2 @ host @ ( down @ index ) @ ( B @ setIn ) ) ) ) )
=> ( ( sk2 @ host @ ( nbr_proc @ leq ) )
=> ( ~ ! [B: $i] : ( setEmpty @ ( B @ host @ setIn ) )
=> ! [B: $i] :
( ( ( sk2 @ host )
= ( B @ host ) )
=> ! [C: $i] :
( ( ( sk2 @ host )
!= ( C @ host ) )
=> ( ( ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( C @ host ) )
& ( ( sk2 @ host )
= ( B @ host ) )
& ( alive @ ( C @ setIn ) )
& ( alive @ ( B @ setIn ) ) )
=> ( C = B ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( ^ [A: $i,B: $i,C: $i] :
@+[D: $i] :
~ ( ( ( D @ ( zero @ s @ leq ) )
& ~ ( D @ ( A @ host @ leq ) ) )
=> ( ( D
= ( B @ host ) )
| ( A @ host @ ( down @ index ) @ ( D @ setIn ) ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i] :
~ ( setEmpty @ ( A @ host @ setIn ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: $i] :
~ ( ( ( sk2 @ host )
= ( A @ host ) )
=> ! [B: $i] :
( ( ( sk2 @ host )
!= ( B @ host ) )
=> ( ( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( B @ host ) )
& ( ( sk2 @ host )
= ( A @ host ) )
& ( alive @ ( B @ setIn ) )
& ( alive @ ( A @ setIn ) ) )
=> ( B = A ) ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
~ ( ( ( sk2 @ host )
!= ( A @ host ) )
=> ( ( ( ( A @ host @ ( status @ index ) )
= norm )
& ( ( A @ host @ ( ldr @ index ) )
= ( A @ host ) )
& ( ( sk2 @ host )
= ( sk6 @ host ) )
& ( alive @ ( A @ setIn ) )
& ( alive @ ( sk6 @ setIn ) ) )
=> ( A = sk6 ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_NotNorm @ A )
= B ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_NormQ @ A )
= B ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_Halt @ A )
= B ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( ^ [A: $i] :
@+[B: $i] :
( A
= ( B @ m_Halt ) ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( ^ [A: $i] :
@+[B: $i] :
( A
= ( B @ m_Down ) ) ) ) ).
thf(sk15_def,definition,
( sk15
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_Down @ A )
= B ) ) ) ).
thf(sk18_def,definition,
( sk18
= ( @+[A: $i > $i] :
! [B: $i] :
( ( B @ m_Ldr @ A )
= B ) ) ) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( C @ host @ queue )
= ( A @ ( D @ m_Down @ cons ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( status @ index ) )
= elec_1 )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ~ ( E @ host @ ( G @ host @ leq ) )
& ! [H: $i] :
( ( ( H @ ( zero @ s @ leq ) )
& ~ ( H @ ( G @ host @ leq ) ) )
=> ( ( H
= ( F @ host ) )
| ( G @ host @ ( down @ index ) @ ( H @ setIn ) ) ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( F @ host )
= ( G @ host @ ( pendack @ index ) ) )
& ( ( G @ host @ ( status @ index ) )
= elec_2 )
& ( G @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( G @ host @ queue @ ( F @ ( G @ m_Ack ) @ elem ) )
& ( alive @ ( G @ setIn ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( F @ host )
= ( G @ host @ ( pendack @ index ) ) )
& ( ( G @ host @ ( status @ index ) )
= elec_2 )
& ( G @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( F = E ) )
& ! [E: $i] :
( ( ( alive @ ( E @ setIn ) )
& ( ( ( E @ host @ ( status @ index ) )
= elec_2 )
| ( ( E @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( E @ host @ ( elid @ index ) )
= E ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host )
= ( E @ host ) )
& ( F != E ) )
=> ( ~ ( alive @ ( F @ setIn ) )
| ~ ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( E @ host @ queue @ ( F @ m_Ldr @ elem ) )
=> ~ ( F @ host @ ( E @ host @ leq ) ) ) )
=> ( ( alive @ ( C @ setIn ) )
=> ( ~ ( D @ host @ ( C @ host @ leq ) )
=> ( ~ ( ( ( ( D @ host )
= ( C @ host @ ( elid @ index ) @ host ) )
& ( ( C @ host @ ( status @ index ) )
= wait ) )
| ( ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( D @ host ) ) ) )
=> ( ( ( ( C @ host @ ( status @ index ) )
= elec_1 )
& ! [E: $i] :
( ( ( E @ ( zero @ s @ leq ) )
& ~ ( E @ ( C @ host @ leq ) ) )
=> ( ( E
= ( D @ host ) )
| ( C @ host @ ( down @ index ) @ ( E @ setIn ) ) ) ) )
=> ( ( C @ host @ ( nbr_proc @ leq ) )
=> ! [E: $i] :
( ~ ( setEmpty @ ( E @ host @ setIn ) )
=> ! [F: $i] :
( ( ( C @ host )
= ( F @ host ) )
=> ! [G: $i] :
( ( ( C @ host )
!= ( G @ host ) )
=> ( ( ( ( G @ host @ ( status @ index ) )
= norm )
& ( ( G @ host @ ( ldr @ index ) )
= ( G @ host ) )
& ( ( C @ host )
= ( F @ host ) )
& ( alive @ ( G @ setIn ) )
& ( alive @ ( F @ setIn ) ) )
=> ( G = F ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ( C @ host @ queue )
= ( A @ ( D @ m_Down @ cons ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( G @ host @ ( status @ index ) )
= elec_1 )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ~ ( E @ host @ ( G @ host @ leq ) )
& ! [H: $i] :
( ( ( H @ ( zero @ s @ leq ) )
& ~ ( H @ ( G @ host @ leq ) ) )
=> ( ( H
= ( F @ host ) )
| ( G @ host @ ( down @ index ) @ ( H @ setIn ) ) ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( F @ host )
= ( G @ host @ ( pendack @ index ) ) )
& ( ( G @ host @ ( status @ index ) )
= elec_2 )
& ( G @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( G @ host @ queue @ ( F @ ( G @ m_Ack ) @ elem ) )
& ( alive @ ( G @ setIn ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( ( F @ host )
= ( G @ host @ ( pendack @ index ) ) )
& ( ( G @ host @ ( status @ index ) )
= elec_2 )
& ( G @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( G @ host @ queue @ ( F @ m_Down @ elem ) )
& ( alive @ ( G @ setIn ) ) )
=> ~ ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( F = E ) )
& ! [E: $i] :
( ( ( alive @ ( E @ setIn ) )
& ( ( ( E @ host @ ( status @ index ) )
= elec_2 )
| ( ( E @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( E @ host @ ( elid @ index ) )
= E ) )
& ! [E: $i,F: $i] :
( ( ( ( F @ host )
= ( E @ host ) )
& ( F != E ) )
=> ( ~ ( alive @ ( F @ setIn ) )
| ~ ( alive @ ( E @ setIn ) ) ) )
& ! [E: $i,F: $i] :
( ( E @ host @ queue @ ( F @ m_Ldr @ elem ) )
=> ~ ( F @ host @ ( E @ host @ leq ) ) ) )
=> ( ( alive @ ( C @ setIn ) )
=> ( ~ ( D @ host @ ( C @ host @ leq ) )
=> ( ~ ( ( ( ( D @ host )
= ( C @ host @ ( elid @ index ) @ host ) )
& ( ( C @ host @ ( status @ index ) )
= wait ) )
| ( ( ( C @ host @ ( status @ index ) )
= norm )
& ( ( C @ host @ ( ldr @ index ) )
= ( D @ host ) ) ) )
=> ( ( ( ( C @ host @ ( status @ index ) )
= elec_1 )
& ! [E: $i] :
( ( ( E @ ( zero @ s @ leq ) )
& ~ ( E @ ( C @ host @ leq ) ) )
=> ( ( E
= ( D @ host ) )
| ( C @ host @ ( down @ index ) @ ( E @ setIn ) ) ) ) )
=> ( ( C @ host @ ( nbr_proc @ leq ) )
=> ! [E: $i] :
( ~ ( setEmpty @ ( E @ host @ setIn ) )
=> ! [F: $i] :
( ( ( C @ host )
= ( F @ host ) )
=> ! [G: $i] :
( ( ( C @ host )
!= ( G @ host ) )
=> ( ( ( ( G @ host @ ( status @ index ) )
= norm )
& ( ( G @ host @ ( ldr @ index ) )
= ( G @ host ) )
& ( ( C @ host )
= ( F @ host ) )
& ( alive @ ( G @ setIn ) )
& ( alive @ ( F @ setIn ) ) )
=> ( G = F ) ) ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(69,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ( ( B @ host @ queue )
= ( A @ ( C @ m_Down @ cons ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( F @ host @ ( status @ index ) )
= elec_1 )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ~ ( D @ host @ ( F @ host @ leq ) )
& ! [G: $i] :
( ( ( G @ ( zero @ s @ leq ) )
& ~ ( G @ ( F @ host @ leq ) ) )
=> ( ( G
= ( E @ host ) )
| ( F @ host @ ( down @ index ) @ ( G @ setIn ) ) ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( E @ host )
= ( F @ host @ ( pendack @ index ) ) )
& ( ( F @ host @ ( status @ index ) )
= elec_2 )
& ( F @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( F @ host @ queue @ ( E @ ( F @ m_Ack ) @ elem ) )
& ( alive @ ( F @ setIn ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( ( E @ host )
= ( F @ host @ ( pendack @ index ) ) )
& ( ( F @ host @ ( status @ index ) )
= elec_2 )
& ( F @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ( alive @ ( F @ setIn ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( E = D ) )
& ! [D: $i] :
( ( ( alive @ ( D @ setIn ) )
& ( ( ( D @ host @ ( status @ index ) )
= elec_2 )
| ( ( D @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( D @ host @ ( elid @ index ) )
= D ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( E != D ) )
=> ( ~ ( alive @ ( E @ setIn ) )
| ~ ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Ldr @ elem ) )
=> ~ ( E @ host @ ( D @ host @ leq ) ) ) )
=> ( ( alive @ ( B @ setIn ) )
=> ( ~ ( C @ host @ ( B @ host @ leq ) )
=> ( ~ ( ( ( ( C @ host )
= ( B @ host @ ( elid @ index ) @ host ) )
& ( ( B @ host @ ( status @ index ) )
= wait ) )
| ( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( C @ host ) ) ) )
=> ( ( ( ( B @ host @ ( status @ index ) )
= elec_1 )
& ! [D: $i] :
( ( ( D @ ( zero @ s @ leq ) )
& ~ ( D @ ( B @ host @ leq ) ) )
=> ( ( D
= ( C @ host ) )
| ( B @ host @ ( down @ index ) @ ( D @ setIn ) ) ) ) )
=> ( ( B @ host @ ( nbr_proc @ leq ) )
=> ! [D: $i] :
( ~ ( setEmpty @ ( D @ host @ setIn ) )
=> ! [E: $i] :
( ( ( B @ host )
= ( E @ host ) )
=> ! [F: $i] :
( ( ( B @ host )
!= ( F @ host ) )
=> ( ( ( ( F @ host @ ( status @ index ) )
= norm )
& ( ( F @ host @ ( ldr @ index ) )
= ( F @ host ) )
& ( ( B @ host )
= ( E @ host ) )
& ( alive @ ( F @ setIn ) )
& ( alive @ ( E @ setIn ) ) )
=> ( F = E ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ leq ) )
| ( B @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
thf(346,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ leq ) )
| ( B @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(347,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ leq ) )
| ( B @ ( A @ leq ) ) ),
inference(cnf,[status(esa)],[346]) ).
thf(70,plain,
~ ! [A: $i,B: $i,C: $i] :
( ( ( ( B @ host @ queue )
= ( A @ ( C @ m_Down @ cons ) ) )
& ! [D: $i] :
( ? [E: $i,F: $i] :
( ( ( F @ host @ ( status @ index ) )
= elec_1 )
& ( F @ host @ queue @ ( E @ m_Down @ elem ) )
& ~ ( D @ host @ ( F @ host @ leq ) )
& ! [G: $i] :
( ( ( G @ ( zero @ s @ leq ) )
& ~ ( G @ ( F @ host @ leq ) ) )
=> ( ( G
= ( E @ host ) )
| ( F @ host @ ( down @ index ) @ ( G @ setIn ) ) ) ) )
=> ~ ( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ( ? [D: $i,E: $i] :
( ( ( D @ host )
= ( E @ host @ ( pendack @ index ) ) )
& ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( E @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( E @ host @ queue @ ( D @ ( E @ m_Ack ) @ elem ) )
& ( alive @ ( E @ setIn ) ) )
=> ~ ? [D: $i] :
( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ( ? [D: $i,E: $i] :
( ( ( D @ host )
= ( E @ host @ ( pendack @ index ) ) )
& ( ( E @ host @ ( status @ index ) )
= elec_2 )
& ( E @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
& ( E @ host @ queue @ ( D @ m_Down @ elem ) )
& ( alive @ ( E @ setIn ) ) )
=> ~ ? [D: $i] :
( ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( status @ index ) )
= norm )
& ( ( D @ host @ ( ldr @ index ) )
= ( D @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( E = D ) )
& ! [D: $i] :
( ( ( alive @ ( D @ setIn ) )
& ( ( ( D @ host @ ( status @ index ) )
= elec_2 )
| ( ( D @ host @ ( status @ index ) )
= elec_1 ) ) )
=> ( ( D @ host @ ( elid @ index ) )
= D ) )
& ! [D: $i,E: $i] :
( ( ( ( E @ host )
= ( D @ host ) )
& ( E != D ) )
=> ( ~ ( alive @ ( E @ setIn ) )
| ~ ( alive @ ( D @ setIn ) ) ) )
& ! [D: $i,E: $i] :
( ( D @ host @ queue @ ( E @ m_Ldr @ elem ) )
=> ~ ( E @ host @ ( D @ host @ leq ) ) ) )
=> ( ( alive @ ( B @ setIn ) )
=> ( ~ ( C @ host @ ( B @ host @ leq ) )
=> ( ~ ( ( ( ( C @ host )
= ( B @ host @ ( elid @ index ) @ host ) )
& ( ( B @ host @ ( status @ index ) )
= wait ) )
| ( ( ( B @ host @ ( status @ index ) )
= norm )
& ( ( B @ host @ ( ldr @ index ) )
= ( C @ host ) ) ) )
=> ( ( ( ( B @ host @ ( status @ index ) )
= elec_1 )
& ! [D: $i] :
( ( ( D @ ( zero @ s @ leq ) )
& ~ ( D @ ( B @ host @ leq ) ) )
=> ( ( D
= ( C @ host ) )
| ( B @ host @ ( down @ index ) @ ( D @ setIn ) ) ) ) )
=> ( ( B @ host @ ( nbr_proc @ leq ) )
=> ( ~ ! [D: $i] : ( setEmpty @ ( D @ host @ setIn ) )
=> ! [D: $i] :
( ( ( B @ host )
= ( D @ host ) )
=> ! [E: $i] :
( ( ( B @ host )
!= ( E @ host ) )
=> ( ( ( ( E @ host @ ( status @ index ) )
= norm )
& ( ( E @ host @ ( ldr @ index ) )
= ( E @ host ) )
& ( ( B @ host )
= ( D @ host ) )
& ( alive @ ( E @ setIn ) )
& ( alive @ ( D @ setIn ) ) )
=> ( E = D ) ) ) ) ) ) ) ) ) ) ),
inference(miniscope,[status(thm)],[69]) ).
thf(71,plain,
! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( sk7 != sk6 )
& ( ( sk7 @ host @ ( status @ index ) )
= norm )
& ( ( sk7 @ host @ ( ldr @ index ) )
= ( sk7 @ host ) )
& ( ( sk2 @ host )
= ( sk6 @ host ) )
& ( alive @ ( sk7 @ setIn ) )
& ( alive @ ( sk6 @ setIn ) )
& ( ( sk2 @ host )
!= ( sk7 @ host ) )
& ( ( sk2 @ host )
= ( sk6 @ host ) )
& ~ ( setEmpty @ ( sk5 @ host @ setIn ) )
& ( sk2 @ host @ ( nbr_proc @ leq ) )
& ( ( sk2 @ host @ ( status @ index ) )
= elec_1 )
& ( ( Q
= ( sk3 @ host ) )
| ( sk2 @ host @ ( down @ index ) @ ( Q @ setIn ) )
| ~ ( Q @ ( zero @ s @ leq ) )
| ( Q @ ( sk2 @ host @ leq ) ) )
& ( ( ( sk3 @ host )
!= ( sk2 @ host @ ( elid @ index ) @ host ) )
| ( ( sk2 @ host @ ( status @ index ) )
!= wait ) )
& ( ( ( sk2 @ host @ ( status @ index ) )
!= norm )
| ( ( sk2 @ host @ ( ldr @ index ) )
!= ( sk3 @ host ) ) )
& ~ ( sk3 @ host @ ( sk2 @ host @ leq ) )
& ( alive @ ( sk2 @ setIn ) )
& ( ( sk2 @ host @ queue )
= ( sk1 @ ( sk3 @ m_Down @ cons ) ) )
& ( ( ( N @ host @ ( status @ index ) )
!= norm )
| ( ( N @ host @ ( ldr @ index ) )
!= ( N @ host ) )
| ~ ( alive @ ( N @ setIn ) )
| ( ( P @ host @ ( status @ index ) )
!= elec_1 )
| ~ ( P @ host @ queue @ ( O @ m_Down @ elem ) )
| ( N @ host @ ( P @ host @ leq ) )
| ( ( N @ ( O @ ( P @ sk4 ) ) )
!= ( O @ host ) ) )
& ( ( ( N @ host @ ( status @ index ) )
!= norm )
| ( ( N @ host @ ( ldr @ index ) )
!= ( N @ host ) )
| ~ ( alive @ ( N @ setIn ) )
| ( ( P @ host @ ( status @ index ) )
!= elec_1 )
| ~ ( P @ host @ queue @ ( O @ m_Down @ elem ) )
| ( N @ host @ ( P @ host @ leq ) )
| ~ ( P @ host @ ( down @ index ) @ ( N @ ( O @ ( P @ sk4 ) ) @ setIn ) ) )
& ( ( ( N @ host @ ( status @ index ) )
!= norm )
| ( ( N @ host @ ( ldr @ index ) )
!= ( N @ host ) )
| ~ ( alive @ ( N @ setIn ) )
| ( ( P @ host @ ( status @ index ) )
!= elec_1 )
| ~ ( P @ host @ queue @ ( O @ m_Down @ elem ) )
| ( N @ host @ ( P @ host @ leq ) )
| ( N @ ( O @ ( P @ sk4 ) ) @ ( zero @ s @ leq ) ) )
& ( ( ( N @ host @ ( status @ index ) )
!= norm )
| ( ( N @ host @ ( ldr @ index ) )
!= ( N @ host ) )
| ~ ( alive @ ( N @ setIn ) )
| ( ( P @ host @ ( status @ index ) )
!= elec_1 )
| ~ ( P @ host @ queue @ ( O @ m_Down @ elem ) )
| ( N @ host @ ( P @ host @ leq ) )
| ~ ( N @ ( O @ ( P @ sk4 ) ) @ ( P @ host @ leq ) ) )
& ( ( ( M @ host @ ( status @ index ) )
!= norm )
| ( ( M @ host @ ( ldr @ index ) )
!= ( M @ host ) )
| ~ ( alive @ ( M @ setIn ) )
| ( ( K @ host )
!= ( L @ host @ ( pendack @ index ) ) )
| ( ( L @ host @ ( status @ index ) )
!= elec_2 )
| ~ ( L @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
| ~ ( L @ host @ queue @ ( K @ ( L @ m_Ack ) @ elem ) )
| ~ ( alive @ ( L @ setIn ) ) )
& ( ( ( J @ host @ ( status @ index ) )
!= norm )
| ( ( J @ host @ ( ldr @ index ) )
!= ( J @ host ) )
| ~ ( alive @ ( J @ setIn ) )
| ( ( H @ host )
!= ( I @ host @ ( pendack @ index ) ) )
| ( ( I @ host @ ( status @ index ) )
!= elec_2 )
| ~ ( I @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
| ~ ( I @ host @ queue @ ( H @ m_Down @ elem ) )
| ~ ( alive @ ( I @ setIn ) ) )
& ( ( G = F )
| ( ( G @ host @ ( ldr @ index ) )
!= ( G @ host ) )
| ( ( G @ host @ ( status @ index ) )
!= norm )
| ( ( F @ host @ ( status @ index ) )
!= norm )
| ( ( F @ host @ ( ldr @ index ) )
!= ( F @ host ) )
| ~ ( alive @ ( G @ setIn ) )
| ~ ( alive @ ( F @ setIn ) ) )
& ( ( ( E @ host @ ( elid @ index ) )
= E )
| ~ ( alive @ ( E @ setIn ) )
| ( ( E @ host @ ( status @ index ) )
!= elec_2 ) )
& ( ( ( E @ host @ ( elid @ index ) )
= E )
| ~ ( alive @ ( E @ setIn ) )
| ( ( E @ host @ ( status @ index ) )
!= elec_1 ) )
& ( ~ ( alive @ ( D @ setIn ) )
| ~ ( alive @ ( C @ setIn ) )
| ( ( D @ host )
!= ( C @ host ) )
| ( D = C ) )
& ( ~ ( B @ host @ ( A @ host @ leq ) )
| ~ ( A @ host @ queue @ ( B @ m_Ldr @ elem ) ) ) ),
inference(cnf,[status(esa)],[70]) ).
thf(81,plain,
alive @ ( sk7 @ setIn ),
inference(cnfConj,[status(thm)],[71]) ).
thf(16,axiom,
~ ( alive @ ( nil @ setIn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
thf(192,plain,
~ ( alive @ ( nil @ setIn ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(193,plain,
~ ( alive @ ( nil @ setIn ) ),
inference(polarity_switch,[status(thm)],[192]) ).
thf(457,plain,
( ( ( alive @ ( sk7 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[81,193]) ).
thf(458,plain,
( ( alive @ ( sk7 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) ),
inference(simp,[status(thm)],[457]) ).
thf(463,plain,
( ( alive != alive )
| ( sk7 != nil ) ),
inference(simp,[status(thm)],[458]) ).
thf(468,plain,
sk7 != nil,
inference(simp,[status(thm)],[463]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(234,plain,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(84,plain,
( ( sk2 @ host )
!= ( sk7 @ host ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(101,plain,
( ( sk7 @ host )
!= ( sk2 @ host ) ),
inference(lifteq,[status(thm)],[84]) ).
thf(54,axiom,
! [A: $i] :
( ( q_nil @ ( A @ cons ) )
= ( A @ ( q_nil @ snoc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
thf(371,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) )
= ( A @ ( q_nil @ snoc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(372,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) )
= ( A @ ( q_nil @ snoc ) ) ),
inference(cnf,[status(esa)],[371]) ).
thf(373,plain,
! [A: $i] :
( ( A @ ( q_nil @ snoc ) )
= ( q_nil @ ( A @ cons ) ) ),
inference(lifteq,[status(thm)],[372]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ init )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).
thf(164,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ init )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(165,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ init )
= B ),
inference(cnf,[status(esa)],[164]) ).
thf(166,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ init )
= B ),
inference(lifteq,[status(thm)],[165]) ).
thf(2335,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( B @ ( C @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) @ init )
= C ) ),
inference(paramod_ordered,[status(thm)],[373,166]) ).
thf(2336,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) @ init )
= q_nil ),
inference(pattern_uni,[status(thm)],[2335:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ snoc ) @ ( A @ elem ) )
<=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
thf(336,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( A @ elem ) )
| ( A = B ) )
=> ( B @ ( C @ snoc ) @ ( A @ elem ) ) )
& ( ( B @ ( C @ snoc ) @ ( A @ elem ) )
=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(337,plain,
( ! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ elem ) )
| ( A = B ) )
=> ( B @ ( C @ snoc ) @ ( A @ elem ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ snoc ) @ ( A @ elem ) )
=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ) ),
inference(miniscope,[status(thm)],[336]) ).
thf(338,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( E @ ( F @ snoc ) @ ( D @ elem ) )
| ~ ( F @ ( D @ elem ) ) )
& ( ( E @ ( F @ snoc ) @ ( D @ elem ) )
| ( D != E ) )
& ( ( C @ ( A @ elem ) )
| ( A = B )
| ~ ( B @ ( C @ snoc ) @ ( A @ elem ) ) ) ),
inference(cnf,[status(esa)],[337]) ).
thf(340,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ snoc ) @ ( A @ elem ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[338]) ).
thf(343,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ snoc ) @ ( A @ elem ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[340]) ).
thf(344,plain,
! [B: $i,A: $i] : ( A @ ( B @ snoc ) @ ( A @ elem ) ),
inference(simp,[status(thm)],[343]) ).
thf(93,plain,
( ( sk2 @ host )
= ( sk6 @ host ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(112,plain,
( ( sk6 @ host )
= ( sk2 @ host ) ),
inference(lifteq,[status(thm)],[93]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
thf(265,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) ) )
& ( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(266,plain,
( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) ) )
& ! [A: $i,B: $i] :
( ( ( A @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( A = B ) ) ),
inference(miniscope,[status(thm)],[265]) ).
thf(267,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C @ ( D @ leq ) )
| ( C != D ) )
& ( ( D @ ( C @ leq ) )
| ( C != D ) )
& ( ( A = B )
| ~ ( A @ ( B @ leq ) )
| ~ ( B @ ( A @ leq ) ) ) ),
inference(cnf,[status(esa)],[266]) ).
thf(269,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ leq ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[267]) ).
thf(272,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ leq ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[269]) ).
thf(273,plain,
! [A: $i] : ( A @ ( A @ leq ) ),
inference(simp,[status(thm)],[272]) ).
thf(97,plain,
! [B: $i,A: $i] :
( ~ ( B @ host @ ( A @ host @ leq ) )
| ~ ( A @ host @ queue @ ( B @ m_Ldr @ elem ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(1006,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( C @ host @ ( B @ host @ leq ) ) )
| ~ $true
| ~ ( B @ host @ queue @ ( C @ m_Ldr @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[273,97]) ).
thf(1007,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( C @ host @ ( B @ host @ leq ) ) )
| ~ ( B @ host @ queue @ ( C @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[1006]) ).
thf(1008,plain,
! [A: $i] :
~ ( A @ host @ queue @ ( A @ m_Ldr @ elem ) ),
inference(pattern_uni,[status(thm)],[1007:[bind(A,$thf( D @ host )),bind(B,$thf( D )),bind(C,$thf( D ))]]) ).
thf(1013,plain,
! [A: $i] :
~ ( A @ host @ queue @ ( A @ m_Ldr @ elem ) ),
inference(simp,[status(thm)],[1008]) ).
thf(2135,plain,
! [A: $i] :
( ( ( sk6 @ host )
!= ( A @ host ) )
| ~ ( sk2 @ host @ queue @ ( A @ m_Ldr @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[112,1013]) ).
thf(2136,plain,
~ ( sk2 @ host @ queue @ ( sk6 @ m_Ldr @ elem ) ),
inference(pattern_uni,[status(thm)],[2135:[bind(A,$thf( sk6 ))]]) ).
thf(4560,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk6 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[344,2136]) ).
thf(4561,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk6 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[4560]) ).
thf(4595,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) )
!= ( sk2 @ host @ queue ) )
| ( A
!= ( sk6 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[4561]) ).
thf(4607,plain,
! [A: $i] :
( ( sk6 @ m_Ldr @ ( A @ snoc ) )
!= ( sk2 @ host @ queue ) ),
inference(simp,[status(thm)],[4595]) ).
thf(4908,plain,
! [B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( sk6 @ m_Ldr @ ( B @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) )
!= ( sk2 @ host @ queue ) ) ),
inference(paramod_ordered,[status(thm)],[373,4607]) ).
thf(4909,plain,
( ( q_nil @ ( sk6 @ m_Ldr @ cons ) )
!= ( sk2 @ host @ queue ) ),
inference(pattern_uni,[status(thm)],[4908:[bind(A,$thf( sk6 @ m_Ldr )),bind(B,$thf( q_nil ))]]) ).
thf(66,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(431,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(432,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) ) ) ),
inference(miniscope,[status(thm)],[431]) ).
thf(433,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_Ldr )
= ( D @ m_Ldr ) ) )
& ( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[432]) ).
thf(434,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[433]) ).
thf(436,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Ldr )
!= ( B @ m_Ldr ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[434]) ).
thf(437,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_Ldr @ A )
= B ),
inference(detectInverse,[status(thm)],[436]) ).
thf(438,plain,
! [A: $i] :
( ( A @ m_Ldr @ sk18 )
= A ),
inference(cnf,[status(esa)],[437]) ).
thf(2104,plain,
! [A: $i] :
( ( A @ m_Ldr @ sk18 )
= A ),
inference(lifteq,[status(thm)],[438]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_Down )
!= ( B @ m_Down ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
thf(276,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_Down )
!= ( B @ m_Down ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_Down )
!= ( B @ m_Down ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(85,plain,
! [A: $i] :
( ( A
= ( sk3 @ host ) )
| ( sk2 @ host @ ( down @ index ) @ ( A @ setIn ) )
| ~ ( A @ ( zero @ s @ leq ) )
| ( A @ ( sk2 @ host @ leq ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(102,plain,
! [A: $i] :
( ( sk2 @ host @ ( down @ index ) @ ( A @ setIn ) )
| ~ ( A @ ( zero @ s @ leq ) )
| ( A @ ( sk2 @ host @ leq ) )
| ( A
= ( sk3 @ host ) ) ),
inference(lifteq,[status(thm)],[85]) ).
thf(103,plain,
! [A: $i] :
( ( sk2 @ host @ ( down @ index ) @ ( A @ setIn ) )
| ~ ( A @ ( zero @ s @ leq ) )
| ( A @ ( sk2 @ host @ leq ) )
| ( A
= ( sk3 @ host ) ) ),
inference(simp,[status(thm)],[102]) ).
thf(1009,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( B @ ( zero @ s @ leq ) ) )
| ( sk2 @ host @ ( down @ index ) @ ( B @ setIn ) )
| ~ $true
| ( B @ ( sk2 @ host @ leq ) )
| ( B
= ( sk3 @ host ) ) ),
inference(paramod_ordered,[status(thm)],[273,103]) ).
thf(1010,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( B @ ( zero @ s @ leq ) ) )
| ( sk2 @ host @ ( down @ index ) @ ( B @ setIn ) )
| ( B @ ( sk2 @ host @ leq ) )
| ( B
= ( sk3 @ host ) ) ),
inference(simp,[status(thm)],[1009]) ).
thf(1011,plain,
( ( sk2 @ host @ ( down @ index ) @ ( zero @ s @ setIn ) )
| ( zero @ s @ ( sk2 @ host @ leq ) )
| ( ( zero @ s )
= ( sk3 @ host ) ) ),
inference(pattern_uni,[status(thm)],[1010:[bind(A,$thf( zero @ s )),bind(B,$thf( zero @ s ))]]) ).
thf(20,axiom,
! [A: $i] : ( A @ host @ ( zero @ s @ leq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
thf(204,plain,
! [A: $i] : ( A @ host @ ( zero @ s @ leq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(205,plain,
! [A: $i] : ( A @ host @ ( zero @ s @ leq ) ),
inference(cnf,[status(esa)],[204]) ).
thf(2380,plain,
! [A: $i] :
( ( ( zero @ s )
!= ( zero @ s ) )
| ( A @ host @ ( sk3 @ host @ leq ) )
| ( sk2 @ host @ ( down @ index ) @ ( zero @ s @ setIn ) )
| ( zero @ s @ ( sk2 @ host @ leq ) ) ),
inference(paramod_ordered,[status(thm)],[1011,205]) ).
thf(2381,plain,
! [A: $i] :
( ( A @ host @ ( sk3 @ host @ leq ) )
| ( sk2 @ host @ ( down @ index ) @ ( zero @ s @ setIn ) )
| ( zero @ s @ ( sk2 @ host @ leq ) ) ),
inference(pattern_uni,[status(thm)],[2380:[]]) ).
thf(72,plain,
( ( sk7 @ host @ ( status @ index ) )
= norm ),
inference(cnfConj,[status(thm)],[71]) ).
thf(110,plain,
( ( sk7 @ host @ ( status @ index ) )
= norm ),
inference(lifteq,[status(thm)],[72]) ).
thf(90,plain,
( ( sk7 @ host @ ( ldr @ index ) )
= ( sk7 @ host ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(129,plain,
( ( sk7 @ host @ ( ldr @ index ) )
= ( sk7 @ host ) ),
inference(lifteq,[status(thm)],[90]) ).
thf(502,plain,
( ( ( sk7 @ host @ ( ldr @ index ) )
!= ( sk7 @ host @ ( status @ index ) ) )
| ( ( sk7 @ host )
= norm ) ),
inference(paramod_ordered,[status(thm)],[110,129]) ).
thf(509,plain,
( ( ( sk7 @ host )
!= ( sk7 @ host ) )
| ( ldr != status )
| ( ( sk7 @ host )
= norm ) ),
inference(simp,[status(thm)],[502]) ).
thf(511,plain,
( ( ldr != status )
| ( ( sk7 @ host )
= norm ) ),
inference(simp,[status(thm)],[509]) ).
thf(4566,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( C @ host @ queue @ ( C @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[344,1013]) ).
thf(4567,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( C @ host @ queue @ ( C @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[4566]) ).
thf(4591,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) )
!= ( C @ host @ queue ) )
| ( A
!= ( C @ m_Ldr ) ) ),
inference(simp,[status(thm)],[4567]) ).
thf(4602,plain,
! [B: $i,A: $i] :
( ( B @ m_Ldr @ ( A @ snoc ) )
!= ( B @ host @ queue ) ),
inference(simp,[status(thm)],[4591]) ).
thf(5345,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( C @ m_Ldr @ ( B @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) )
!= ( C @ host @ queue ) ) ),
inference(paramod_ordered,[status(thm)],[373,4602]) ).
thf(5346,plain,
! [A: $i] :
( ( q_nil @ ( A @ m_Ldr @ cons ) )
!= ( A @ host @ queue ) ),
inference(pattern_uni,[status(thm)],[5345:[bind(A,$thf( D @ m_Ldr )),bind(B,$thf( q_nil )),bind(C,$thf( D ))]]) ).
thf(5348,plain,
! [A: $i] :
( ( q_nil @ ( A @ m_Ldr @ cons ) )
!= ( A @ host @ queue ) ),
inference(simp,[status(thm)],[5346]) ).
thf(58,axiom,
! [A: $i] :
( ( A
= ( A @ tail @ ( A @ head @ cons ) ) )
| ( A = q_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
thf(384,plain,
! [A: $i] :
( ( A
= ( A @ tail @ ( A @ head @ cons ) ) )
| ( A = q_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(17,axiom,
nbr_proc @ ( zero @ s @ leq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
thf(194,plain,
nbr_proc @ ( zero @ s @ leq ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(57,axiom,
! [A: $i] :
~ ( A @ ( A @ s @ leq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
thf(381,plain,
! [A: $i] :
~ ( A @ ( A @ s @ leq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(382,plain,
~ ? [A: $i] : ( A @ ( A @ s @ leq ) ),
inference(miniscope,[status(thm)],[381]) ).
thf(383,plain,
! [A: $i] :
~ ( A @ ( A @ s @ leq ) ),
inference(cnf,[status(esa)],[382]) ).
thf(1715,plain,
! [A: $i] :
( ( ( nbr_proc @ ( zero @ s @ leq ) )
!= ( A @ ( A @ s @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[194,383]) ).
thf(1716,plain,
! [A: $i] :
( ( nbr_proc @ ( zero @ s @ leq ) )
!= ( A @ ( A @ s @ leq ) ) ),
inference(simp,[status(thm)],[1715]) ).
thf(1730,plain,
! [A: $i] :
( ( nbr_proc != A )
| ( ( zero @ s )
!= ( A @ s ) ) ),
inference(simp,[status(thm)],[1716]) ).
thf(1735,plain,
( ( zero @ s )
!= ( nbr_proc @ s ) ),
inference(simp,[status(thm)],[1730]) ).
thf(64,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ ordered )
<=> ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( A @ pidMsg @ ( C @ pidMsg @ leq ) ) )
& ( B @ ordered ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).
thf(404,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( A @ pidMsg @ ( C @ pidMsg @ leq ) ) )
& ( B @ ordered ) )
=> ( A @ ( B @ snoc ) @ ordered ) )
& ( ( A @ ( B @ snoc ) @ ordered )
=> ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( A @ pidMsg @ ( C @ pidMsg @ leq ) ) )
& ( B @ ordered ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( A @ m_NormQ )
!= ( B @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
thf(185,plain,
! [A: $i,B: $i] :
( ( A @ m_NormQ )
!= ( B @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(40,axiom,
elec_2 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).
thf(320,plain,
elec_2 != norm,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(13,axiom,
q_nil @ ordered,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(184,plain,
q_nil @ ordered,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ m_Down @ pidMsg )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).
thf(355,plain,
! [A: $i] :
( ( A @ m_Down @ pidMsg )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(356,plain,
! [A: $i] :
( ( A @ m_Down @ pidMsg )
= A ),
inference(cnf,[status(esa)],[355]) ).
thf(357,plain,
! [A: $i] :
( ( A @ m_Down @ pidMsg )
= A ),
inference(lifteq,[status(thm)],[356]) ).
thf(2125,plain,
! [A: $i] :
( ( ( sk7 @ host )
!= ( A @ host ) )
| ~ ( norm @ queue @ ( A @ m_Ldr @ elem ) )
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[511,1013]) ).
thf(2126,plain,
( ~ ( norm @ queue @ ( sk7 @ m_Ldr @ elem ) )
| ( ldr != status ) ),
inference(pattern_uni,[status(thm)],[2125:[bind(A,$thf( sk7 ))]]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ last )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
thf(157,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ snoc ) @ last )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(75,plain,
! [B: $i,A: $i] :
( ( B = A )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(124,plain,
! [B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( B = A )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) ) ),
inference(lifteq,[status(thm)],[75]) ).
thf(125,plain,
! [B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( B = A )
| ( ( B @ host @ ( ldr @ index ) )
!= ( B @ host ) )
| ( ( B @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) ) ),
inference(simp,[status(thm)],[124]) ).
thf(21,axiom,
! [A: $i] : ( nbr_proc @ ( A @ host @ leq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
thf(206,plain,
! [A: $i] : ( nbr_proc @ ( A @ host @ leq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(207,plain,
! [A: $i] : ( nbr_proc @ ( A @ host @ leq ) ),
inference(cnf,[status(esa)],[206]) ).
thf(637,plain,
! [A: $i] :
( ( ( sk7 @ host )
!= ( A @ host ) )
| ( nbr_proc @ ( norm @ leq ) )
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[511,207]) ).
thf(638,plain,
( ( nbr_proc @ ( norm @ leq ) )
| ( ldr != status ) ),
inference(pattern_uni,[status(thm)],[637:[bind(A,$thf( sk7 ))]]) ).
thf(15,axiom,
elec_1 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).
thf(189,plain,
elec_1 != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(65,axiom,
! [A: $i,B: $i] :
( ( B @ s @ ( A @ leq ) )
<=> ( ( B @ ( A @ leq ) )
| ( A
= ( B @ s ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
thf(421,plain,
! [A: $i,B: $i] :
( ( ( ( B @ ( A @ leq ) )
| ( A
= ( B @ s ) ) )
=> ( B @ s @ ( A @ leq ) ) )
& ( ( B @ s @ ( A @ leq ) )
=> ( ( B @ ( A @ leq ) )
| ( A
= ( B @ s ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ leq ) )
<=> ( B @ s @ ( A @ s @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
thf(228,plain,
! [A: $i,B: $i] :
( ( ( B @ s @ ( A @ s @ leq ) )
=> ( B @ ( A @ leq ) ) )
& ( ( B @ ( A @ leq ) )
=> ( B @ s @ ( A @ s @ leq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(286,plain,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(287,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Ldr )
= ( B @ m_Halt ) ),
inference(miniscope,[status(thm)],[286]) ).
thf(288,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_Halt ) ),
inference(cnf,[status(esa)],[287]) ).
thf(289,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_Halt ) ),
inference(lifteq,[status(thm)],[288]) ).
thf(55,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).
thf(374,plain,
elec_1 != elec_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(375,plain,
elec_1 != elec_2,
inference(polarity_switch,[status(thm)],[374]) ).
thf(376,plain,
elec_2 != elec_1,
inference(lifteq,[status(thm)],[375]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_NotNorm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(208,plain,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_NotNorm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(209,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Down )
= ( B @ m_NotNorm ) ),
inference(miniscope,[status(thm)],[208]) ).
thf(210,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_NotNorm ) ),
inference(cnf,[status(esa)],[209]) ).
thf(211,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_NotNorm ) ),
inference(lifteq,[status(thm)],[210]) ).
thf(86,plain,
sk7 != sk6,
inference(cnfConj,[status(thm)],[71]) ).
thf(106,plain,
sk7 != sk6,
inference(lifteq,[status(thm)],[86]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(238,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(76,plain,
! [A: $i] :
( ( ( A @ host @ ( elid @ index ) )
= A )
| ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(120,plain,
! [A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( elid @ index ) )
= A )
| ( ( A @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(lifteq,[status(thm)],[76]) ).
thf(121,plain,
! [A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( elid @ index ) )
= A )
| ( ( A @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(simp,[status(thm)],[120]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ ( A @ cons ) @ snoc ) )
= ( B @ ( C @ snoc ) @ ( A @ cons ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
thf(348,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( C @ ( A @ cons ) @ snoc ) )
= ( B @ ( C @ snoc ) @ ( A @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(62,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Ldr ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(397,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Ldr ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(25,axiom,
! [A: $i] :
~ ( setEmpty @ ( A @ setIn ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
thf(219,plain,
! [A: $i] :
~ ( setEmpty @ ( A @ setIn ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(220,plain,
~ ? [A: $i] : ( setEmpty @ ( A @ setIn ) ),
inference(miniscope,[status(thm)],[219]) ).
thf(221,plain,
! [A: $i] :
~ ( setEmpty @ ( A @ setIn ) ),
inference(cnf,[status(esa)],[220]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ ( q_nil @ snoc ) @ ordered )
& ( q_nil @ ( A @ cons ) @ ordered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).
thf(290,plain,
! [A: $i] :
( ( A @ ( q_nil @ snoc ) @ ordered )
& ( q_nil @ ( A @ cons ) @ ordered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(291,plain,
( ! [A: $i] : ( A @ ( q_nil @ snoc ) @ ordered )
& ! [A: $i] : ( q_nil @ ( A @ cons ) @ ordered ) ),
inference(miniscope,[status(thm)],[290]) ).
thf(292,plain,
! [B: $i,A: $i] :
( ( B @ ( q_nil @ snoc ) @ ordered )
& ( q_nil @ ( A @ cons ) @ ordered ) ),
inference(cnf,[status(esa)],[291]) ).
thf(293,plain,
! [A: $i] : ( q_nil @ ( A @ cons ) @ ordered ),
inference(cnfConj,[status(thm)],[292]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( A @ m_NotNorm )
!= ( B @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(130,plain,
! [A: $i,B: $i] :
( ( A @ m_NotNorm )
!= ( B @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(131,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_NotNorm )
= ( B @ m_Halt ) ),
inference(miniscope,[status(thm)],[130]) ).
thf(132,plain,
! [B: $i,A: $i] :
( ( A @ m_NotNorm )
!= ( B @ m_Halt ) ),
inference(cnf,[status(esa)],[131]) ).
thf(133,plain,
! [B: $i,A: $i] :
( ( A @ m_NotNorm )
!= ( B @ m_Halt ) ),
inference(lifteq,[status(thm)],[132]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ cons ) @ ( A @ elem ) )
<=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
thf(244,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ( C @ ( A @ elem ) )
| ( A = B ) )
=> ( C @ ( B @ cons ) @ ( A @ elem ) ) )
& ( ( C @ ( B @ cons ) @ ( A @ elem ) )
=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(245,plain,
( ! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ elem ) )
| ( A = B ) )
=> ( C @ ( B @ cons ) @ ( A @ elem ) ) )
& ! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ cons ) @ ( A @ elem ) )
=> ( ( C @ ( A @ elem ) )
| ( A = B ) ) ) ),
inference(miniscope,[status(thm)],[244]) ).
thf(246,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( F @ ( E @ cons ) @ ( D @ elem ) )
| ~ ( F @ ( D @ elem ) ) )
& ( ( F @ ( E @ cons ) @ ( D @ elem ) )
| ( D != E ) )
& ( ( C @ ( A @ elem ) )
| ( A = B )
| ~ ( C @ ( B @ cons ) @ ( A @ elem ) ) ) ),
inference(cnf,[status(esa)],[245]) ).
thf(248,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ cons ) @ ( A @ elem ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[246]) ).
thf(251,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ cons ) @ ( A @ elem ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[248]) ).
thf(252,plain,
! [B: $i,A: $i] : ( B @ ( A @ cons ) @ ( A @ elem ) ),
inference(simp,[status(thm)],[251]) ).
thf(63,axiom,
! [A: $i] :
~ ( q_nil @ ( A @ elem ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).
thf(401,plain,
! [A: $i] :
~ ( q_nil @ ( A @ elem ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(402,plain,
~ ? [A: $i] : ( q_nil @ ( A @ elem ) ),
inference(miniscope,[status(thm)],[401]) ).
thf(403,plain,
! [A: $i] :
~ ( q_nil @ ( A @ elem ) ),
inference(cnf,[status(esa)],[402]) ).
thf(4446,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( q_nil @ ( C @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[252,403]) ).
thf(4447,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( q_nil @ ( C @ elem ) ) ),
inference(simp,[status(thm)],[4446]) ).
thf(4464,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ cons ) )
!= q_nil )
| ( A != C ) ),
inference(simp,[status(thm)],[4447]) ).
thf(4475,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ cons ) )
!= q_nil ),
inference(simp,[status(thm)],[4464]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(134,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(135,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) ) ) ),
inference(miniscope,[status(thm)],[134]) ).
thf(136,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_NotNorm )
= ( D @ m_NotNorm ) ) )
& ( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[135]) ).
thf(137,plain,
! [B: $i,A: $i] :
( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[136]) ).
thf(139,plain,
! [B: $i,A: $i] :
( ( ( A @ m_NotNorm )
!= ( B @ m_NotNorm ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[137]) ).
thf(140,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_NotNorm @ A )
= B ),
inference(detectInverse,[status(thm)],[139]) ).
thf(141,plain,
! [A: $i] :
( ( A @ m_NotNorm @ sk8 )
= A ),
inference(cnf,[status(esa)],[140]) ).
thf(1438,plain,
! [A: $i] :
( ( A @ m_NotNorm @ sk8 )
= A ),
inference(lifteq,[status(thm)],[141]) ).
thf(4436,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk6 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[252,2136]) ).
thf(4437,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( sk2 @ host @ queue @ ( sk6 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[4436]) ).
thf(4469,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ cons ) )
!= ( sk2 @ host @ queue ) )
| ( A
!= ( sk6 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[4437]) ).
thf(4480,plain,
! [A: $i] :
( ( A @ ( sk6 @ m_Ldr @ cons ) )
!= ( sk2 @ host @ queue ) ),
inference(simp,[status(thm)],[4469]) ).
thf(52,axiom,
norm != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(364,plain,
norm != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(365,plain,
norm != wait,
inference(polarity_switch,[status(thm)],[364]) ).
thf(366,plain,
wait != norm,
inference(lifteq,[status(thm)],[365]) ).
thf(1709,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( nbr_proc @ ( norm @ leq ) ) )
| ~ $true
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[638,383]) ).
thf(1710,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( nbr_proc @ ( norm @ leq ) ) )
| ( ldr != status ) ),
inference(simp,[status(thm)],[1709]) ).
thf(1731,plain,
! [A: $i] :
( ( A != nbr_proc )
| ( ( A @ s )
!= norm )
| ( ldr != status ) ),
inference(simp,[status(thm)],[1710]) ).
thf(1736,plain,
( ( ( nbr_proc @ s )
!= norm )
| ( ldr != status ) ),
inference(simp,[status(thm)],[1731]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( q_nil
!= ( B @ ( A @ cons ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
thf(377,plain,
! [A: $i,B: $i] :
( q_nil
!= ( B @ ( A @ cons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(378,plain,
~ ? [A: $i,B: $i] :
( q_nil
= ( B @ ( A @ cons ) ) ),
inference(miniscope,[status(thm)],[377]) ).
thf(379,plain,
! [B: $i,A: $i] :
( q_nil
!= ( B @ ( A @ cons ) ) ),
inference(cnf,[status(esa)],[378]) ).
thf(380,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) )
!= q_nil ),
inference(lifteq,[status(thm)],[379]) ).
thf(77,plain,
! [B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( B @ host )
!= ( A @ host ) )
| ( B = A ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(116,plain,
! [B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( B @ host )
!= ( A @ host ) )
| ( B = A ) ),
inference(lifteq,[status(thm)],[77]) ).
thf(117,plain,
! [B: $i,A: $i] :
( ~ ( alive @ ( B @ setIn ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( B @ host )
!= ( A @ host ) )
| ( B = A ) ),
inference(simp,[status(thm)],[116]) ).
thf(1711,plain,
! [B: $i,A: $i] :
( ( ( A @ host @ ( zero @ s @ leq ) )
!= ( B @ ( B @ s @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[205,383]) ).
thf(1712,plain,
! [B: $i,A: $i] :
( ( A @ host @ ( zero @ s @ leq ) )
!= ( B @ ( B @ s @ leq ) ) ),
inference(simp,[status(thm)],[1711]) ).
thf(1728,plain,
! [B: $i,A: $i] :
( ( ( A @ host )
!= B )
| ( ( zero @ s )
!= ( B @ s ) ) ),
inference(simp,[status(thm)],[1712]) ).
thf(1732,plain,
! [A: $i] :
( ( A @ host @ s )
!= ( zero @ s ) ),
inference(simp,[status(thm)],[1728]) ).
thf(1784,plain,
! [A: $i] :
( ( A @ host )
!= zero ),
inference(simp,[status(thm)],[1732]) ).
thf(1899,plain,
! [A: $i] :
( ( ( sk7 @ host )
!= ( A @ host ) )
| ( zero != norm )
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[511,1784]) ).
thf(1900,plain,
( ( zero != norm )
| ( ldr != status ) ),
inference(pattern_uni,[status(thm)],[1899:[bind(A,$thf( sk7 ))]]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NormQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(299,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NormQ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(300,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
= ( C @ m_NormQ ) ),
inference(miniscope,[status(thm)],[299]) ).
thf(301,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NormQ ) ),
inference(cnf,[status(esa)],[300]) ).
thf(302,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NormQ ) ),
inference(lifteq,[status(thm)],[301]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( q_nil
!= ( A @ ( B @ snoc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).
thf(160,plain,
! [A: $i,B: $i] :
( q_nil
!= ( A @ ( B @ snoc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(92,plain,
~ ( sk3 @ host @ ( sk2 @ host @ leq ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(94,plain,
alive @ ( sk2 @ setIn ),
inference(cnfConj,[status(thm)],[71]) ).
thf(461,plain,
( ( ( alive @ ( sk2 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[94,193]) ).
thf(462,plain,
( ( alive @ ( sk2 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) ),
inference(simp,[status(thm)],[461]) ).
thf(465,plain,
( ( alive != alive )
| ( sk2 != nil ) ),
inference(simp,[status(thm)],[462]) ).
thf(467,plain,
sk2 != nil,
inference(simp,[status(thm)],[465]) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_NormQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
thf(358,plain,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_NormQ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(359,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Down )
= ( B @ m_NormQ ) ),
inference(miniscope,[status(thm)],[358]) ).
thf(360,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_NormQ ) ),
inference(cnf,[status(esa)],[359]) ).
thf(361,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_NormQ ) ),
inference(lifteq,[status(thm)],[360]) ).
thf(521,plain,
( ( ( sk7 @ host )
!= ( sk7 @ host ) )
| ( ( norm @ ( status @ index ) )
= norm )
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[511,110]) ).
thf(522,plain,
( ( ( norm @ ( status @ index ) )
= norm )
| ( ldr != status ) ),
inference(pattern_uni,[status(thm)],[521:[]]) ).
thf(82,plain,
( ( sk2 @ host @ queue )
= ( sk1 @ ( sk3 @ m_Down @ cons ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(126,plain,
( ( sk1 @ ( sk3 @ m_Down @ cons ) )
= ( sk2 @ host @ queue ) ),
inference(lifteq,[status(thm)],[82]) ).
thf(4460,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( B @ ( A @ cons ) ) )
| ( sk2 @ host @ queue @ ( A @ elem ) ) ),
inference(paramod_ordered,[status(thm)],[126,252]) ).
thf(4461,plain,
sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ),
inference(pattern_uni,[status(thm)],[4460:[bind(A,$thf( sk3 @ m_Down )),bind(B,$thf( sk1 ))]]) ).
thf(1740,plain,
zero != nbr_proc,
inference(simp,[status(thm)],[1735]) ).
thf(43,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ordered )
=> ( C @ ( B @ m_Ack ) @ ( A @ snoc ) @ ordered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
thf(329,plain,
! [A: $i,B: $i,C: $i] :
( ( A @ ordered )
=> ( C @ ( B @ m_Ack ) @ ( A @ snoc ) @ ordered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(1793,plain,
! [A: $i] :
( ( ( sk6 @ host )
!= ( A @ host ) )
| ( ( sk2 @ host @ s )
!= ( zero @ s ) ) ),
inference(paramod_ordered,[status(thm)],[112,1732]) ).
thf(1794,plain,
( ( sk2 @ host @ s )
!= ( zero @ s ) ),
inference(pattern_uni,[status(thm)],[1793:[bind(A,$thf( sk6 ))]]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ m_Halt @ pidMsg )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(154,plain,
! [A: $i] :
( ( A @ m_Halt @ pidMsg )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(155,plain,
! [A: $i] :
( ( A @ m_Halt @ pidMsg )
= A ),
inference(cnf,[status(esa)],[154]) ).
thf(156,plain,
! [A: $i] :
( ( A @ m_Halt @ pidMsg )
= A ),
inference(lifteq,[status(thm)],[155]) ).
thf(186,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_NormQ )
= ( B @ m_Halt ) ),
inference(miniscope,[status(thm)],[185]) ).
thf(187,plain,
! [B: $i,A: $i] :
( ( A @ m_NormQ )
!= ( B @ m_Halt ) ),
inference(cnf,[status(esa)],[186]) ).
thf(188,plain,
! [B: $i,A: $i] :
( ( A @ m_NormQ )
!= ( B @ m_Halt ) ),
inference(lifteq,[status(thm)],[187]) ).
thf(80,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ~ ( A @ ( B @ ( C @ sk4 ) ) @ ( C @ host @ leq ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(108,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ~ ( A @ ( B @ ( C @ sk4 ) ) @ ( C @ host @ leq ) )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(lifteq,[status(thm)],[80]) ).
thf(109,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ~ ( A @ ( B @ ( C @ sk4 ) ) @ ( C @ host @ leq ) )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(simp,[status(thm)],[108]) ).
thf(1004,plain,
! [A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( sk3 @ host @ ( sk2 @ host @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[273,92]) ).
thf(1005,plain,
! [A: $i] :
( ( A @ ( A @ leq ) )
!= ( sk3 @ host @ ( sk2 @ host @ leq ) ) ),
inference(simp,[status(thm)],[1004]) ).
thf(1012,plain,
! [A: $i] :
( ( A
!= ( sk3 @ host ) )
| ( A
!= ( sk2 @ host ) ) ),
inference(simp,[status(thm)],[1005]) ).
thf(1014,plain,
( ( sk3 @ host )
!= ( sk2 @ host ) ),
inference(simp,[status(thm)],[1012]) ).
thf(1016,plain,
sk3 != sk2,
inference(simp,[status(thm)],[1014]) ).
thf(23,axiom,
elec_1 != norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).
thf(212,plain,
elec_1 != norm,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(1719,plain,
! [B: $i,A: $i] :
( ( ( nbr_proc @ ( A @ host @ leq ) )
!= ( B @ ( B @ s @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[207,383]) ).
thf(1720,plain,
! [B: $i,A: $i] :
( ( nbr_proc @ ( A @ host @ leq ) )
!= ( B @ ( B @ s @ leq ) ) ),
inference(simp,[status(thm)],[1719]) ).
thf(1727,plain,
! [B: $i,A: $i] :
( ( nbr_proc != B )
| ( ( A @ host )
!= ( B @ s ) ) ),
inference(simp,[status(thm)],[1720]) ).
thf(1739,plain,
! [A: $i] :
( ( A @ host )
!= ( nbr_proc @ s ) ),
inference(simp,[status(thm)],[1727]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_Halt )
!= ( B @ m_Halt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(167,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_Halt )
!= ( B @ m_Halt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(168,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_Halt )
!= ( B @ m_Halt ) ) ) ),
inference(miniscope,[status(thm)],[167]) ).
thf(169,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_Halt )
= ( D @ m_Halt ) ) )
& ( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[168]) ).
thf(170,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[169]) ).
thf(172,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Halt )
!= ( B @ m_Halt ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[170]) ).
thf(173,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_Halt @ A )
= B ),
inference(detectInverse,[status(thm)],[172]) ).
thf(174,plain,
! [A: $i] :
( ( A @ m_Halt @ sk10 )
= A ),
inference(cnf,[status(esa)],[173]) ).
thf(1825,plain,
! [A: $i] :
( ( A @ m_Halt @ sk10 )
= A ),
inference(lifteq,[status(thm)],[174]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
thf(391,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(392,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
inference(cnf,[status(esa)],[391]) ).
thf(393,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ head )
= A ),
inference(lifteq,[status(thm)],[392]) ).
thf(4442,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( C @ host @ queue @ ( C @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[252,1013]) ).
thf(4443,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ cons ) @ ( A @ elem ) )
!= ( C @ host @ queue @ ( C @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[4442]) ).
thf(4465,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ cons ) )
!= ( C @ host @ queue ) )
| ( A
!= ( C @ m_Ldr ) ) ),
inference(simp,[status(thm)],[4443]) ).
thf(4476,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ m_Ldr @ cons ) )
!= ( B @ host @ queue ) ),
inference(simp,[status(thm)],[4465]) ).
thf(79,plain,
! [A: $i] :
( ( ( A @ host @ ( elid @ index ) )
= A )
| ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(127,plain,
! [A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( elid @ index ) )
= A )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(lifteq,[status(thm)],[79]) ).
thf(128,plain,
! [A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ( ( A @ host @ ( elid @ index ) )
= A )
| ( ( A @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(simp,[status(thm)],[127]) ).
thf(235,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Down )
= ( B @ m_Halt ) ),
inference(miniscope,[status(thm)],[234]) ).
thf(236,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_Halt ) ),
inference(cnf,[status(esa)],[235]) ).
thf(237,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_Halt ) ),
inference(lifteq,[status(thm)],[236]) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ~ ( C @ host @ ( down @ index ) @ ( A @ ( B @ ( C @ sk4 ) ) @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(104,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ~ ( C @ host @ ( down @ index ) @ ( A @ ( B @ ( C @ sk4 ) ) @ setIn ) )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(lifteq,[status(thm)],[73]) ).
thf(105,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ~ ( C @ host @ ( down @ index ) @ ( A @ ( B @ ( C @ sk4 ) ) @ setIn ) )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(simp,[status(thm)],[104]) ).
thf(37,axiom,
elec_2 != wait,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).
thf(296,plain,
elec_2 != wait,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(297,plain,
elec_2 != wait,
inference(polarity_switch,[status(thm)],[296]) ).
thf(298,plain,
wait != elec_2,
inference(lifteq,[status(thm)],[297]) ).
thf(1697,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( B @ ( A @ cons ) ) )
| ( ( sk2 @ host @ queue )
!= q_nil ) ),
inference(paramod_ordered,[status(thm)],[126,380]) ).
thf(1698,plain,
( ( sk2 @ host @ queue )
!= q_nil ),
inference(pattern_uni,[status(thm)],[1697:[bind(A,$thf( sk3 @ m_Down )),bind(B,$thf( sk1 ))]]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ pidElem )
<=> ? [B: $i] :
( ( A
= ( B @ m_Down ) )
| ( A
= ( B @ m_Halt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).
thf(254,plain,
! [A: $i] :
( ( ? [B: $i] :
( ( A
= ( B @ m_Down ) )
| ( A
= ( B @ m_Halt ) ) )
=> ( A @ pidElem ) )
& ( ( A @ pidElem )
=> ? [B: $i] :
( ( A
= ( B @ m_Down ) )
| ( A
= ( B @ m_Halt ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(255,plain,
( ! [A: $i] :
( ( ? [B: $i] :
( A
= ( B @ m_Down ) )
| ? [B: $i] :
( A
= ( B @ m_Halt ) ) )
=> ( A @ pidElem ) )
& ! [A: $i] :
( ( A @ pidElem )
=> ( ? [B: $i] :
( A
= ( B @ m_Down ) )
| ? [B: $i] :
( A
= ( B @ m_Halt ) ) ) ) ),
inference(miniscope,[status(thm)],[254]) ).
thf(256,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ pidElem )
| ( B
!= ( D @ m_Down ) ) )
& ( ( B @ pidElem )
| ( B
!= ( C @ m_Halt ) ) )
& ( ( A
= ( A @ sk14 @ m_Down ) )
| ( A
= ( A @ sk13 @ m_Halt ) )
| ~ ( A @ pidElem ) ) ),
inference(cnf,[status(esa)],[255]) ).
thf(259,plain,
! [B: $i,A: $i] :
( ( A @ pidElem )
| ( A
!= ( B @ m_Down ) ) ),
inference(cnfConj,[status(thm)],[256]) ).
thf(263,plain,
! [B: $i,A: $i] :
( ( A @ pidElem )
| ( A
!= ( B @ m_Down ) ) ),
inference(lifteq,[status(thm)],[259]) ).
thf(264,plain,
! [A: $i] : ( A @ m_Down @ pidElem ),
inference(simp,[status(thm)],[263]) ).
thf(564,plain,
! [A: $i] :
( ( ( alive @ ( sk7 @ setIn ) )
!= ( setEmpty @ ( A @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[81,221]) ).
thf(565,plain,
! [A: $i] :
( ( alive @ ( sk7 @ setIn ) )
!= ( setEmpty @ ( A @ setIn ) ) ),
inference(simp,[status(thm)],[564]) ).
thf(570,plain,
! [A: $i] :
( ( setEmpty != alive )
| ( sk7 != A ) ),
inference(simp,[status(thm)],[565]) ).
thf(573,plain,
setEmpty != alive,
inference(simp,[status(thm)],[570]) ).
thf(68,axiom,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_Ldr ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(444,plain,
! [A: $i,B: $i] :
( ( A @ m_Down )
!= ( B @ m_Ldr ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(4570,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( q_nil @ ( C @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[344,403]) ).
thf(4571,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ ( A @ elem ) )
!= ( q_nil @ ( C @ elem ) ) ),
inference(simp,[status(thm)],[4570]) ).
thf(4588,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ snoc ) )
!= q_nil )
| ( A != C ) ),
inference(simp,[status(thm)],[4571]) ).
thf(4599,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ snoc ) )
!= q_nil ),
inference(simp,[status(thm)],[4588]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( A != B )
<=> ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
thf(144,plain,
! [A: $i,B: $i] :
( ( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
=> ( A != B ) )
& ( ( A != B )
=> ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(145,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) ) ) ),
inference(miniscope,[status(thm)],[144]) ).
thf(146,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_NormQ )
= ( D @ m_NormQ ) ) )
& ( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[145]) ).
thf(147,plain,
! [B: $i,A: $i] :
( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[146]) ).
thf(149,plain,
! [B: $i,A: $i] :
( ( ( A @ m_NormQ )
!= ( B @ m_NormQ ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[147]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( A @ m_NormQ )
!= ( B @ m_NotNorm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(177,plain,
! [A: $i,B: $i] :
( ( A @ m_NormQ )
!= ( B @ m_NotNorm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(178,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_NormQ )
= ( B @ m_NotNorm ) ),
inference(miniscope,[status(thm)],[177]) ).
thf(179,plain,
! [B: $i,A: $i] :
( ( A @ m_NormQ )
!= ( B @ m_NotNorm ) ),
inference(cnf,[status(esa)],[178]) ).
thf(180,plain,
! [B: $i,A: $i] :
( ( A @ m_NormQ )
!= ( B @ m_NotNorm ) ),
inference(lifteq,[status(thm)],[179]) ).
thf(190,plain,
elec_1 != wait,
inference(polarity_switch,[status(thm)],[189]) ).
thf(191,plain,
wait != elec_1,
inference(lifteq,[status(thm)],[190]) ).
thf(1721,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ leq ) )
!= ( B @ ( B @ s @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[273,383]) ).
thf(1722,plain,
! [B: $i,A: $i] :
( ( A @ ( A @ leq ) )
!= ( B @ ( B @ s @ leq ) ) ),
inference(simp,[status(thm)],[1721]) ).
thf(1729,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( A
!= ( B @ s ) ) ),
inference(simp,[status(thm)],[1722]) ).
thf(1733,plain,
! [A: $i] :
( ( A @ s )
!= A ),
inference(simp,[status(thm)],[1729]) ).
thf(95,plain,
alive @ ( sk6 @ setIn ),
inference(cnfConj,[status(thm)],[71]) ).
thf(459,plain,
( ( ( alive @ ( sk6 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[95,193]) ).
thf(460,plain,
( ( alive @ ( sk6 @ setIn ) )
!= ( alive @ ( nil @ setIn ) ) ),
inference(simp,[status(thm)],[459]) ).
thf(464,plain,
( ( alive != alive )
| ( sk6 != nil ) ),
inference(simp,[status(thm)],[460]) ).
thf(466,plain,
sk6 != nil,
inference(simp,[status(thm)],[464]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NormQ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).
thf(332,plain,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NormQ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(333,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Ldr )
= ( B @ m_NormQ ) ),
inference(miniscope,[status(thm)],[332]) ).
thf(334,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NormQ ) ),
inference(cnf,[status(esa)],[333]) ).
thf(335,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NormQ ) ),
inference(lifteq,[status(thm)],[334]) ).
thf(12,axiom,
! [A: $i] :
( ( A
= ( A @ last @ ( A @ init @ snoc ) ) )
| ( A = q_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
thf(181,plain,
! [A: $i] :
( ( A
= ( A @ last @ ( A @ init @ snoc ) ) )
| ( A = q_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(158,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ last )
= A ),
inference(cnf,[status(esa)],[157]) ).
thf(159,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) @ last )
= A ),
inference(lifteq,[status(thm)],[158]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
thf(362,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ leq ) )
& ( B @ ( A @ leq ) ) )
=> ( C @ ( A @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ cons ) @ ordered )
<=> ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( C @ pidMsg @ ( A @ pidMsg @ leq ) ) )
& ( B @ ordered ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
thf(303,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( C @ pidMsg @ ( A @ pidMsg @ leq ) ) )
& ( B @ ordered ) )
=> ( B @ ( A @ cons ) @ ordered ) )
& ( ( B @ ( A @ cons ) @ ordered )
=> ( ! [C: $i] :
( ( ( ( C @ pidMsg @ host )
= ( A @ pidMsg @ host ) )
& ( C @ pidElem )
& ( A @ pidElem )
& ( B @ ( C @ elem ) ) )
=> ( C @ pidMsg @ ( A @ pidMsg @ leq ) ) )
& ( B @ ordered ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(59,axiom,
! [A: $i,B: $i] :
( ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
=> ( ( pids @ ( B @ setIn ) )
& ( pids @ ( A @ setIn ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
thf(387,plain,
! [A: $i,B: $i] :
( ( A @ host @ queue @ ( B @ ( A @ m_Ack ) @ elem ) )
=> ( ( pids @ ( B @ setIn ) )
& ( pids @ ( A @ setIn ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(4487,plain,
( ( ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) )
!= ( sk2 @ host @ queue @ ( sk6 @ m_Ldr @ elem ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[4461,2136]) ).
thf(4488,plain,
( ( sk2 @ host @ queue @ ( sk3 @ m_Down @ elem ) )
!= ( sk2 @ host @ queue @ ( sk6 @ m_Ldr @ elem ) ) ),
inference(simp,[status(thm)],[4487]) ).
thf(4534,plain,
( ( ( sk2 @ host @ queue )
!= ( sk2 @ host @ queue ) )
| ( ( sk3 @ m_Down )
!= ( sk6 @ m_Ldr ) ) ),
inference(simp,[status(thm)],[4488]) ).
thf(4541,plain,
( ( sk3 @ m_Down )
!= ( sk6 @ m_Ldr ) ),
inference(simp,[status(thm)],[4534]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( ( A @ host )
!= ( B @ host ) )
=> ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(367,plain,
! [A: $i,B: $i] :
( ( ( A @ host )
!= ( B @ host ) )
=> ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(2313,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( B @ ( C @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) @ last )
= B ) ),
inference(paramod_ordered,[status(thm)],[373,159]) ).
thf(2314,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) @ last )
= A ),
inference(pattern_uni,[status(thm)],[2313:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Halt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(323,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Halt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(519,plain,
( ( ( sk7 @ host )
!= ( sk7 @ host ) )
| ( ( sk2 @ host )
!= norm )
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[511,101]) ).
thf(520,plain,
( ( ( sk2 @ host )
!= norm )
| ( ldr != status ) ),
inference(pattern_uni,[status(thm)],[519:[]]) ).
thf(239,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
inference(cnf,[status(esa)],[238]) ).
thf(240,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ cons ) @ tail )
= B ),
inference(lifteq,[status(thm)],[239]) ).
thf(5464,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ leq ) )
!= ( C @ ( C @ s @ leq ) ) )
| ~ $true
| ( B @ ( A @ leq ) ) ),
inference(paramod_ordered,[status(thm)],[347,383]) ).
thf(5465,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( B @ leq ) )
!= ( C @ ( C @ s @ leq ) ) )
| ( B @ ( A @ leq ) ) ),
inference(simp,[status(thm)],[5464]) ).
thf(5466,plain,
! [A: $i] : ( A @ s @ ( A @ leq ) ),
inference(pattern_uni,[status(thm)],[5465:[bind(A,$thf( A )),bind(B,$thf( A @ s )),bind(C,$thf( A ))]]) ).
thf(5006,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( B @ ( A @ cons ) ) )
| ( ( sk2 @ host @ queue @ head )
= A ) ),
inference(paramod_ordered,[status(thm)],[126,393]) ).
thf(5007,plain,
( ( sk2 @ host @ queue @ head )
= ( sk3 @ m_Down ) ),
inference(pattern_uni,[status(thm)],[5006:[bind(A,$thf( sk3 @ m_Down )),bind(B,$thf( sk1 ))]]) ).
thf(61,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ m_Down @ elem ) )
& ( ( B @ host )
= ( C @ host ) )
& ( A @ ( B @ m_Halt @ cons ) @ ordered ) )
=> ( C @ ( B @ leq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
thf(394,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ m_Down @ elem ) )
& ( ( B @ host )
= ( C @ host ) )
& ( A @ ( B @ m_Halt @ cons ) @ ordered ) )
=> ( C @ ( B @ leq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(2751,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( B @ ( A @ cons ) ) )
| ( ( sk2 @ host @ queue @ tail )
= B ) ),
inference(paramod_ordered,[status(thm)],[126,240]) ).
thf(2752,plain,
( ( sk2 @ host @ queue @ tail )
= sk1 ),
inference(pattern_uni,[status(thm)],[2751:[bind(A,$thf( sk3 @ m_Down )),bind(B,$thf( sk1 ))]]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( A @ ordered )
=> ( B @ m_Ldr @ ( A @ snoc ) @ ordered ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).
thf(241,plain,
! [A: $i,B: $i] :
( ( A @ ordered )
=> ( B @ m_Ldr @ ( A @ snoc ) @ ordered ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(5504,plain,
! [A: $i] :
( ( ( A @ s @ ( A @ leq ) )
!= ( sk3 @ host @ ( sk2 @ host @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[5466,92]) ).
thf(5505,plain,
! [A: $i] :
( ( A @ s @ ( A @ leq ) )
!= ( sk3 @ host @ ( sk2 @ host @ leq ) ) ),
inference(simp,[status(thm)],[5504]) ).
thf(5530,plain,
! [A: $i] :
( ( ( A @ s )
!= ( sk3 @ host ) )
| ( A
!= ( sk2 @ host ) ) ),
inference(simp,[status(thm)],[5505]) ).
thf(5538,plain,
( ( sk2 @ host @ s )
!= ( sk3 @ host ) ),
inference(simp,[status(thm)],[5530]) ).
thf(98,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ~ ( alive @ ( C @ setIn ) )
| ( ( A @ host )
!= ( B @ host @ ( pendack @ index ) ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 )
| ~ ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
| ~ ( B @ host @ queue @ ( A @ ( B @ m_Ack ) @ elem ) )
| ~ ( alive @ ( B @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(122,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( C @ setIn ) )
| ~ ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
| ~ ( B @ host @ queue @ ( A @ ( B @ m_Ack ) @ elem ) )
| ~ ( alive @ ( B @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ( ( A @ host )
!= ( B @ host @ ( pendack @ index ) ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(lifteq,[status(thm)],[98]) ).
thf(123,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( C @ setIn ) )
| ~ ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
| ~ ( B @ host @ queue @ ( A @ ( B @ m_Ack ) @ elem ) )
| ~ ( alive @ ( B @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ( ( A @ host )
!= ( B @ host @ ( pendack @ index ) ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(simp,[status(thm)],[122]) ).
thf(476,plain,
( ( ( sk6 @ host )
!= ( sk3 @ host ) )
| ~ ( sk2 @ host @ ( sk2 @ host @ leq ) ) ),
inference(paramod_ordered,[status(thm)],[112,92]) ).
thf(480,plain,
( ( sk6 != sk3 )
| ~ ( sk2 @ host @ ( sk2 @ host @ leq ) ) ),
inference(simp,[status(thm)],[476]) ).
thf(1002,plain,
( ( sk6 != sk3 )
| ~ $true ),
inference(rewrite,[status(thm)],[480,273]) ).
thf(1003,plain,
sk6 != sk3,
inference(simp,[status(thm)],[1002]) ).
thf(42,axiom,
! [A: $i] : ( A @ ( A @ leq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
thf(327,plain,
! [A: $i] : ( A @ ( A @ leq ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(67,axiom,
! [A: $i,B: $i] :
( ( ( A @ host @ s )
= ( B @ host ) )
=> ( ( A @ host )
!= ( B @ host ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).
thf(441,plain,
! [A: $i,B: $i] :
( ( ( A @ host @ s )
= ( B @ host ) )
=> ( ( A @ host )
!= ( B @ host ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(83,plain,
sk2 @ host @ ( nbr_proc @ leq ),
inference(cnfConj,[status(thm)],[71]) ).
thf(1723,plain,
! [A: $i] :
( ( ( A @ ( A @ s @ leq ) )
!= ( sk2 @ host @ ( nbr_proc @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[83,383]) ).
thf(1724,plain,
! [A: $i] :
( ( A @ ( A @ s @ leq ) )
!= ( sk2 @ host @ ( nbr_proc @ leq ) ) ),
inference(simp,[status(thm)],[1723]) ).
thf(1726,plain,
! [A: $i] :
( ( A
!= ( sk2 @ host ) )
| ( ( A @ s )
!= nbr_proc ) ),
inference(simp,[status(thm)],[1724]) ).
thf(1738,plain,
( ( sk2 @ host @ s )
!= nbr_proc ),
inference(simp,[status(thm)],[1726]) ).
thf(161,plain,
~ ? [A: $i,B: $i] :
( q_nil
= ( A @ ( B @ snoc ) ) ),
inference(miniscope,[status(thm)],[160]) ).
thf(162,plain,
! [B: $i,A: $i] :
( q_nil
!= ( A @ ( B @ snoc ) ) ),
inference(cnf,[status(esa)],[161]) ).
thf(163,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ snoc ) )
!= q_nil ),
inference(lifteq,[status(thm)],[162]) ).
thf(2112,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( q_nil @ snoc ) )
!= ( B @ ( C @ snoc ) ) )
| ( ( q_nil @ ( A @ cons ) )
!= q_nil ) ),
inference(paramod_ordered,[status(thm)],[373,163]) ).
thf(2113,plain,
! [A: $i] :
( ( q_nil @ ( A @ cons ) )
!= q_nil ),
inference(pattern_uni,[status(thm)],[2112:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( q_nil ))]]) ).
thf(1797,plain,
( ( sk2 @ host )
!= zero ),
inference(simp,[status(thm)],[1794]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NotNorm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(200,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NotNorm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(201,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
= ( C @ m_NotNorm ) ),
inference(miniscope,[status(thm)],[200]) ).
thf(202,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NotNorm ) ),
inference(cnf,[status(esa)],[201]) ).
thf(203,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_NotNorm ) ),
inference(lifteq,[status(thm)],[202]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Down ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(215,plain,
! [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Down ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(216,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
= ( C @ m_Down ) ),
inference(miniscope,[status(thm)],[215]) ).
thf(217,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Down ) ),
inference(cnf,[status(esa)],[216]) ).
thf(218,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Down ) ),
inference(lifteq,[status(thm)],[217]) ).
thf(277,plain,
( ! [A: $i,B: $i] :
( ( ( A @ m_Down )
!= ( B @ m_Down ) )
=> ( A != B ) )
& ! [A: $i,B: $i] :
( ( A != B )
=> ( ( A @ m_Down )
!= ( B @ m_Down ) ) ) ),
inference(miniscope,[status(thm)],[276]) ).
thf(278,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( C != D )
| ( ( C @ m_Down )
= ( D @ m_Down ) ) )
& ( ( ( A @ m_Down )
!= ( B @ m_Down ) )
| ( A = B ) ) ),
inference(cnf,[status(esa)],[277]) ).
thf(279,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Down )
!= ( B @ m_Down ) )
| ( A = B ) ),
inference(cnfConj,[status(thm)],[278]) ).
thf(281,plain,
! [B: $i,A: $i] :
( ( ( A @ m_Down )
!= ( B @ m_Down ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[279]) ).
thf(282,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_Down @ A )
= B ),
inference(detectInverse,[status(thm)],[281]) ).
thf(283,plain,
! [A: $i] :
( ( A @ m_Down @ sk15 )
= A ),
inference(cnf,[status(esa)],[282]) ).
thf(1918,plain,
! [A: $i] :
( ( A @ m_Down @ sk15 )
= A ),
inference(lifteq,[status(thm)],[283]) ).
thf(2346,plain,
! [A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( q_nil @ ( A @ cons ) ) )
| ( ( sk2 @ host @ queue @ init )
= q_nil ) ),
inference(paramod_ordered,[status(thm)],[126,2336]) ).
thf(2348,plain,
! [A: $i] :
( ( sk1 != q_nil )
| ( ( sk3 @ m_Down )
!= A )
| ( ( sk2 @ host @ queue @ init )
= q_nil ) ),
inference(simp,[status(thm)],[2346]) ).
thf(2352,plain,
( ( sk1 != q_nil )
| ( ( sk2 @ host @ queue @ init )
= q_nil ) ),
inference(simp,[status(thm)],[2348]) ).
thf(516,plain,
( ( ( sk7 @ host )
!= ( sk7 @ host ) )
| ( ( norm @ ( ldr @ index ) )
= ( sk7 @ host ) )
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[511,129]) ).
thf(517,plain,
( ( ( norm @ ( ldr @ index ) )
= ( sk7 @ host ) )
| ( ldr != status ) ),
inference(pattern_uni,[status(thm)],[516:[]]) ).
thf(945,plain,
! [A: $i] :
( ( ( sk7 @ host )
!= ( A @ host ) )
| ( norm @ ( zero @ s @ leq ) )
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[511,205]) ).
thf(946,plain,
( ( norm @ ( zero @ s @ leq ) )
| ( ldr != status ) ),
inference(pattern_uni,[status(thm)],[945:[bind(A,$thf( sk7 ))]]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NotNorm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(351,plain,
! [A: $i,B: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NotNorm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(150,plain,
? [A: $i > $i] :
! [B: $i] :
( ( B @ m_NormQ @ A )
= B ),
inference(detectInverse,[status(thm)],[149]) ).
thf(151,plain,
! [A: $i] :
( ( A @ m_NormQ @ sk9 )
= A ),
inference(cnf,[status(esa)],[150]) ).
thf(1745,plain,
! [A: $i] :
( ( A @ m_NormQ @ sk9 )
= A ),
inference(lifteq,[status(thm)],[151]) ).
thf(89,plain,
! [C: $i,B: $i,A: $i] :
( ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ~ ( alive @ ( C @ setIn ) )
| ( ( A @ host )
!= ( B @ host @ ( pendack @ index ) ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 )
| ~ ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
| ~ ( B @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( alive @ ( B @ setIn ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(113,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( C @ setIn ) )
| ~ ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
| ~ ( B @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( alive @ ( B @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ( ( A @ host )
!= ( B @ host @ ( pendack @ index ) ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(lifteq,[status(thm)],[89]) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( C @ setIn ) )
| ~ ( B @ host @ ( pendack @ index ) @ ( nbr_proc @ leq ) )
| ~ ( B @ host @ queue @ ( A @ m_Down @ elem ) )
| ~ ( alive @ ( B @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= norm )
| ( ( C @ host @ ( ldr @ index ) )
!= ( C @ host ) )
| ( ( A @ host )
!= ( B @ host @ ( pendack @ index ) ) )
| ( ( B @ host @ ( status @ index ) )
!= elec_2 ) ),
inference(simp,[status(thm)],[113]) ).
thf(1776,plain,
! [A: $i] :
( ( ( sk6 @ host )
!= ( A @ host ) )
| ( ( nbr_proc @ s )
!= ( sk2 @ host ) ) ),
inference(paramod_ordered,[status(thm)],[112,1739]) ).
thf(1777,plain,
( ( nbr_proc @ s )
!= ( sk2 @ host ) ),
inference(pattern_uni,[status(thm)],[1776:[bind(A,$thf( sk6 ))]]) ).
thf(213,plain,
elec_1 != norm,
inference(polarity_switch,[status(thm)],[212]) ).
thf(214,plain,
norm != elec_1,
inference(lifteq,[status(thm)],[213]) ).
thf(96,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ( A @ ( B @ ( C @ sk4 ) ) @ ( zero @ s @ leq ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(118,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ( A @ ( B @ ( C @ sk4 ) ) @ ( zero @ s @ leq ) )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(lifteq,[status(thm)],[96]) ).
thf(119,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ( A @ ( B @ ( C @ sk4 ) ) @ ( zero @ s @ leq ) )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 ) ),
inference(simp,[status(thm)],[118]) ).
thf(445,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Down )
= ( B @ m_Ldr ) ),
inference(miniscope,[status(thm)],[444]) ).
thf(446,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_Ldr ) ),
inference(cnf,[status(esa)],[445]) ).
thf(447,plain,
! [B: $i,A: $i] :
( ( A @ m_Down )
!= ( B @ m_Ldr ) ),
inference(lifteq,[status(thm)],[446]) ).
thf(258,plain,
! [B: $i,A: $i] :
( ( A @ pidElem )
| ( A
!= ( B @ m_Halt ) ) ),
inference(cnfConj,[status(thm)],[256]) ).
thf(261,plain,
! [B: $i,A: $i] :
( ( A @ pidElem )
| ( A
!= ( B @ m_Halt ) ) ),
inference(lifteq,[status(thm)],[258]) ).
thf(262,plain,
! [A: $i] : ( A @ m_Halt @ pidElem ),
inference(simp,[status(thm)],[261]) ).
thf(324,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
= ( C @ m_Halt ) ),
inference(miniscope,[status(thm)],[323]) ).
thf(325,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Halt ) ),
inference(cnf,[status(esa)],[324]) ).
thf(326,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Halt ) ),
inference(lifteq,[status(thm)],[325]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C != D )
=> ( ( C @ ( A @ m_Ack ) )
!= ( D @ ( B @ m_Ack ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
thf(195,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( C != D )
=> ( ( C @ ( A @ m_Ack ) )
!= ( D @ ( B @ m_Ack ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(398,plain,
~ ? [A: $i,B: $i,C: $i] :
( ( B @ ( A @ m_Ack ) )
= ( C @ m_Ldr ) ),
inference(miniscope,[status(thm)],[397]) ).
thf(399,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Ldr ) ),
inference(cnf,[status(esa)],[398]) ).
thf(400,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ m_Ack ) )
!= ( C @ m_Ldr ) ),
inference(lifteq,[status(thm)],[399]) ).
thf(523,plain,
( ( ( sk7 @ host )
!= ( sk3 @ host ) )
| ~ ( norm @ ( sk2 @ host @ leq ) )
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[511,92]) ).
thf(532,plain,
( ( sk7 != sk3 )
| ~ ( norm @ ( sk2 @ host @ leq ) )
| ( ldr != status ) ),
inference(simp,[status(thm)],[523]) ).
thf(87,plain,
( ( sk2 @ host @ ( status @ index ) )
= elec_1 ),
inference(cnfConj,[status(thm)],[71]) ).
thf(111,plain,
( ( sk2 @ host @ ( status @ index ) )
= elec_1 ),
inference(lifteq,[status(thm)],[87]) ).
thf(321,plain,
elec_2 != norm,
inference(polarity_switch,[status(thm)],[320]) ).
thf(322,plain,
norm != elec_2,
inference(lifteq,[status(thm)],[321]) ).
thf(484,plain,
( ( ( nbr_proc @ ( zero @ s @ leq ) )
!= ( sk3 @ host @ ( sk2 @ host @ leq ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[194,92]) ).
thf(485,plain,
( ( nbr_proc @ ( zero @ s @ leq ) )
!= ( sk3 @ host @ ( sk2 @ host @ leq ) ) ),
inference(simp,[status(thm)],[484]) ).
thf(486,plain,
( ( ( sk3 @ host )
!= nbr_proc )
| ( ( zero @ s )
!= ( sk2 @ host ) ) ),
inference(simp,[status(thm)],[485]) ).
thf(1717,plain,
! [A: $i] :
( ( ( norm @ ( zero @ s @ leq ) )
!= ( A @ ( A @ s @ leq ) ) )
| ~ $true
| ( ldr != status ) ),
inference(paramod_ordered,[status(thm)],[946,383]) ).
thf(1718,plain,
! [A: $i] :
( ( ( norm @ ( zero @ s @ leq ) )
!= ( A @ ( A @ s @ leq ) ) )
| ( ldr != status ) ),
inference(simp,[status(thm)],[1717]) ).
thf(1725,plain,
! [A: $i] :
( ( norm != A )
| ( ( zero @ s )
!= ( A @ s ) )
| ( ldr != status ) ),
inference(simp,[status(thm)],[1718]) ).
thf(1737,plain,
( ( ( zero @ s )
!= ( norm @ s ) )
| ( ldr != status ) ),
inference(simp,[status(thm)],[1725]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( C @ ( A @ m_Ack ) )
!= ( D @ ( B @ m_Ack ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).
thf(222,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( C @ ( A @ m_Ack ) )
!= ( D @ ( B @ m_Ack ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(88,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ~ ( alive @ ( A @ setIn ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ( ( A @ ( B @ ( C @ sk4 ) ) )
!= ( B @ host ) ) ),
inference(cnfConj,[status(thm)],[71]) ).
thf(99,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ ( B @ ( C @ sk4 ) ) )
!= ( B @ host ) ) ),
inference(lifteq,[status(thm)],[88]) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( alive @ ( A @ setIn ) )
| ~ ( C @ host @ queue @ ( B @ m_Down @ elem ) )
| ( A @ host @ ( C @ host @ leq ) )
| ( ( A @ host @ ( status @ index ) )
!= norm )
| ( ( A @ host @ ( ldr @ index ) )
!= ( A @ host ) )
| ( ( C @ host @ ( status @ index ) )
!= elec_1 )
| ( ( A @ ( B @ ( C @ sk4 ) ) )
!= ( B @ host ) ) ),
inference(simp,[status(thm)],[99]) ).
thf(469,plain,
sk7 != sk2,
inference(simp,[status(thm)],[101]) ).
thf(937,plain,
! [A: $i] :
( ( ( sk1 @ ( sk3 @ m_Down @ cons ) )
!= ( q_nil @ ( A @ cons ) ) )
| ( sk2 @ host @ queue @ ordered ) ),
inference(paramod_ordered,[status(thm)],[126,293]) ).
thf(938,plain,
! [A: $i] :
( ( sk1 != q_nil )
| ( ( sk3 @ m_Down )
!= A )
| ( sk2 @ host @ queue @ ordered ) ),
inference(simp,[status(thm)],[937]) ).
thf(940,plain,
( ( sk1 != q_nil )
| ( sk2 @ host @ queue @ ordered ) ),
inference(simp,[status(thm)],[938]) ).
thf(352,plain,
~ ? [A: $i,B: $i] :
( ( A @ m_Ldr )
= ( B @ m_NotNorm ) ),
inference(miniscope,[status(thm)],[351]) ).
thf(353,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NotNorm ) ),
inference(cnf,[status(esa)],[352]) ).
thf(354,plain,
! [B: $i,A: $i] :
( ( A @ m_Ldr )
!= ( B @ m_NotNorm ) ),
inference(lifteq,[status(thm)],[353]) ).
thf(120291,plain,
$false,
inference(e,[status(thm)],[69,347,468,234,101,2336,4909,2104,276,2381,511,5348,384,1735,404,185,2136,320,4607,184,110,357,2126,157,125,344,638,189,421,1013,228,289,164,376,211,106,238,121,348,397,221,293,133,265,206,4475,1438,4480,381,366,1736,380,117,1900,302,160,192,92,467,252,361,522,4461,1740,97,329,1794,156,403,188,109,1016,212,1739,193,129,371,1825,393,134,205,4476,1732,128,237,105,244,298,1698,166,264,573,444,4599,149,180,296,191,1784,286,204,391,144,1733,466,335,181,159,172,219,1011,81,377,362,303,208,387,4541,367,2314,103,323,520,240,5466,5007,130,394,2752,299,431,241,167,5538,374,112,123,355,194,1003,95,327,177,441,1738,336,2113,154,1797,203,218,1918,2352,517,946,351,1745,114,401,139,4602,1777,207,383,346,214,290,119,447,262,273,373,326,126,358,195,400,532,94,332,163,200,111,254,322,486,1737,215,222,364,100,1014,469,940,354,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV448+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 13:55:03 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.32/1.22 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.90/1.58 % [INFO] Parsing done (355ms).
% 2.29/1.60 % [INFO] Running in sequential loop mode.
% 3.18/2.18 % [INFO] eprover registered as external prover.
% 3.18/2.19 % [INFO] Scanning for conjecture ...
% 3.74/2.46 % [INFO] Found a conjecture (or negated_conjecture) and 66 axioms. Running axiom selection ...
% 4.13/2.65 % [INFO] Axiom selection finished. Selected 66 axioms (removed 0 axioms).
% 4.38/2.74 % [INFO] Problem is first-order (TPTP FOF).
% 4.38/2.76 % [INFO] Type checking passed.
% 4.38/2.77 % [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 ...
% 241.68/65.58 % External prover 'e' found a proof!
% 241.68/65.58 % [INFO] Killing All external provers ...
% 241.68/65.58 % Time passed: 64979ms (effective reasoning time: 63972ms)
% 241.68/65.58 % 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)>
% 241.68/65.58 % 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
% 241.68/65.58 % No. of inferences in proof: 493
% 241.68/65.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 64979 ms resp. 63972 ms w/o parsing
% 243.10/65.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 243.10/65.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------