TSTP Solution File: SWV464+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:34:42 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 29 unt; 1 typ; 0 def)
% Number of atoms : 3917 ( 400 equ)
% Maximal formula atoms : 182 ( 58 avg)
% Number of connectives : 1499 ( 570 ~; 412 |; 440 &)
% ( 5 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 2921 (2921 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 38 ( 36 usr; 22 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 474 ( 427 !; 46 ?; 40 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_6,type,
sQ11_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f705,plain,
$false,
inference(avatar_sat_refutation,[],[f364,f368,f704]) ).
tff(f704,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f703]) ).
tff(f703,plain,
( $false
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f702,f413]) ).
tff(f413,plain,
sQ11_eqProxy($i,host(sK5),index(pendack,host(sK7))),
inference(resolution,[],[f357,f288]) ).
tff(f288,plain,
sQ11_eqProxy($i,index(pendack,host(sK7)),host(sK5)),
inference(equality_proxy_replacement,[],[f190,f284]) ).
tff(f284,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ11_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ11_eqProxy])]) ).
tff(f190,plain,
index(pendack,host(sK7)) = host(sK5),
inference(cnf_transformation,[],[f135]) ).
tff(f135,plain,
( ( norm = index(status,host(sK4)) )
& ( host(sK4) = index(ldr,host(sK4)) )
& setIn(sK4,alive)
& ( host(sK6) = s(index(pendack,host(sK7))) )
& ( index(pendack,host(sK7)) = host(sK5) )
& ( elec_2 = index(status,host(sK7)) )
& elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2)))
& elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(sK7))))
& setIn(sK7,alive)
& ( host(sK2) != host(sK7) )
& ( s(index(pendack,host(sK2))) = host(sK7) )
& ~ leq(nbr_proc,index(pendack,host(sK2)))
& ( index(pendack,host(sK2)) = host(sK3) )
& ( elec_2 = index(status,host(sK2)) )
& ( sK1 = index(elid,host(sK2)) )
& setIn(sK2,alive)
& ( queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0) )
& ! [X8,X9,X10,X11] :
( ( norm != index(status,host(X8)) )
| ( host(X8) != index(ldr,host(X8)) )
| ~ setIn(X8,alive)
| ( host(X10) != s(index(pendack,host(X11))) )
| ( host(X9) != index(pendack,host(X11)) )
| ( elec_2 != index(status,host(X11)) )
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| ( elec_1 != index(status,host(X15)) )
| ( host(X13) != host(X15) )
| ( nbr_proc != host(X15) )
| ~ elem(m_Down(X14),queue(host(X15)))
| ( ( host(X14) != sK8(X14,X15) )
& ~ setIn(sK8(X14,X15),index(down,host(X15)))
& leq(s(zero),sK8(X14,X15))
& ~ leq(host(X15),sK8(X14,X15)) ) )
& ! [X17,X18,X19] :
( ( norm != index(status,host(X17)) )
| ( host(X17) != index(ldr,host(X17)) )
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X19)) )
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| ( elec_2 != index(status,host(X21)) )
| ( elec_2 != index(status,host(X20)) )
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ( elec_2 != index(status,host(X24)) )
| ( elec_2 != index(status,host(X22)) )
| ( host(X23) != host(X24) )
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| ( elec_2 != index(status,host(X26)) )
| ( elec_2 != index(status,host(X25)) )
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( ( norm != index(status,host(X27)) )
| ( host(X27) != index(ldr,host(X27)) )
| ~ setIn(X27,alive)
| ( host(X28) != host(X27) )
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( ( index(elid,host(X30)) = X30 )
| ~ setIn(X30,alive)
| ( ( elec_2 != index(status,host(X30)) )
& ( elec_1 != index(status,host(X30)) ) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| ( elec_1 != index(status,host(X32)) )
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| ( host(X35) != host(X36) )
| ( X35 = X36 ) )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( ( host(X43) != host(X42) )
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f131,f134,f133,f132]) ).
tff(f132,plain,
( ? [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( ( norm = index(status,host(X4)) )
& ( host(X4) = index(ldr,host(X4)) )
& setIn(X4,alive)
& ( host(X6) = s(index(pendack,host(X7))) )
& ( host(X5) = index(pendack,host(X7)) )
& ( elec_2 = index(status,host(X7)) )
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(X2)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& ( host(X2) != host(X7) )
& ( host(X7) = s(index(pendack,host(X2))) ) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& ( host(X3) = index(pendack,host(X2)) )
& ( elec_2 = index(status,host(X2)) )
& ( index(elid,host(X2)) = X1 )
& setIn(X2,alive)
& ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
& ! [X8,X9,X10,X11] :
( ( norm != index(status,host(X8)) )
| ( host(X8) != index(ldr,host(X8)) )
| ~ setIn(X8,alive)
| ( host(X10) != s(index(pendack,host(X11))) )
| ( host(X9) != index(pendack,host(X11)) )
| ( elec_2 != index(status,host(X11)) )
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| ( elec_1 != index(status,host(X15)) )
| ( host(X13) != host(X15) )
| ( nbr_proc != host(X15) )
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( ( host(X14) != X16 )
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( ( norm != index(status,host(X17)) )
| ( host(X17) != index(ldr,host(X17)) )
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X19)) )
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| ( elec_2 != index(status,host(X21)) )
| ( elec_2 != index(status,host(X20)) )
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ( elec_2 != index(status,host(X24)) )
| ( elec_2 != index(status,host(X22)) )
| ( host(X23) != host(X24) )
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| ( elec_2 != index(status,host(X26)) )
| ( elec_2 != index(status,host(X25)) )
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( ( norm != index(status,host(X27)) )
| ( host(X27) != index(ldr,host(X27)) )
| ~ setIn(X27,alive)
| ( host(X28) != host(X27) )
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( ( index(elid,host(X30)) = X30 )
| ~ setIn(X30,alive)
| ( ( elec_2 != index(status,host(X30)) )
& ( elec_1 != index(status,host(X30)) ) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| ( elec_1 != index(status,host(X32)) )
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| ( host(X35) != host(X36) )
| ( X35 = X36 ) )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( ( host(X43) != host(X42) )
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) )
=> ( ? [X7,X6,X5,X4] :
( ( norm = index(status,host(X4)) )
& ( host(X4) = index(ldr,host(X4)) )
& setIn(X4,alive)
& ( host(X6) = s(index(pendack,host(X7))) )
& ( host(X5) = index(pendack,host(X7)) )
& ( elec_2 = index(status,host(X7)) )
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(sK2)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& ( host(X7) != host(sK2) )
& ( host(X7) = s(index(pendack,host(sK2))) ) )
& ~ leq(nbr_proc,index(pendack,host(sK2)))
& ( index(pendack,host(sK2)) = host(sK3) )
& ( elec_2 = index(status,host(sK2)) )
& ( sK1 = index(elid,host(sK2)) )
& setIn(sK2,alive)
& ( queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0) )
& ! [X8,X9,X10,X11] :
( ( norm != index(status,host(X8)) )
| ( host(X8) != index(ldr,host(X8)) )
| ~ setIn(X8,alive)
| ( host(X10) != s(index(pendack,host(X11))) )
| ( host(X9) != index(pendack,host(X11)) )
| ( elec_2 != index(status,host(X11)) )
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| ( elec_1 != index(status,host(X15)) )
| ( host(X13) != host(X15) )
| ( nbr_proc != host(X15) )
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( ( host(X14) != X16 )
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( ( norm != index(status,host(X17)) )
| ( host(X17) != index(ldr,host(X17)) )
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X19)) )
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| ( elec_2 != index(status,host(X21)) )
| ( elec_2 != index(status,host(X20)) )
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ( elec_2 != index(status,host(X24)) )
| ( elec_2 != index(status,host(X22)) )
| ( host(X23) != host(X24) )
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| ( elec_2 != index(status,host(X26)) )
| ( elec_2 != index(status,host(X25)) )
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( ( norm != index(status,host(X27)) )
| ( host(X27) != index(ldr,host(X27)) )
| ~ setIn(X27,alive)
| ( host(X28) != host(X27) )
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( ( index(elid,host(X30)) = X30 )
| ~ setIn(X30,alive)
| ( ( elec_2 != index(status,host(X30)) )
& ( elec_1 != index(status,host(X30)) ) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| ( elec_1 != index(status,host(X32)) )
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| ( host(X35) != host(X36) )
| ( X35 = X36 ) )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( ( host(X43) != host(X42) )
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f133,plain,
( ? [X7,X6,X5,X4] :
( ( norm = index(status,host(X4)) )
& ( host(X4) = index(ldr,host(X4)) )
& setIn(X4,alive)
& ( host(X6) = s(index(pendack,host(X7))) )
& ( host(X5) = index(pendack,host(X7)) )
& ( elec_2 = index(status,host(X7)) )
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(sK2)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& ( host(X7) != host(sK2) )
& ( host(X7) = s(index(pendack,host(sK2))) ) )
=> ( ( norm = index(status,host(sK4)) )
& ( host(sK4) = index(ldr,host(sK4)) )
& setIn(sK4,alive)
& ( host(sK6) = s(index(pendack,host(sK7))) )
& ( index(pendack,host(sK7)) = host(sK5) )
& ( elec_2 = index(status,host(sK7)) )
& elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2)))
& elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2)))
& leq(nbr_proc,s(index(pendack,host(sK7))))
& setIn(sK7,alive)
& ( host(sK2) != host(sK7) )
& ( s(index(pendack,host(sK2))) = host(sK7) ) ) ),
introduced(choice_axiom,[]) ).
tff(f134,plain,
! [X14,X15] :
( ? [X16] :
( ( host(X14) != X16 )
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) )
=> ( ( host(X14) != sK8(X14,X15) )
& ~ setIn(sK8(X14,X15),index(down,host(X15)))
& leq(s(zero),sK8(X14,X15))
& ~ leq(host(X15),sK8(X14,X15)) ) ),
introduced(choice_axiom,[]) ).
tff(f131,plain,
? [X0,X1,X2,X3] :
( ? [X4,X5,X6,X7] :
( ( norm = index(status,host(X4)) )
& ( host(X4) = index(ldr,host(X4)) )
& setIn(X4,alive)
& ( host(X6) = s(index(pendack,host(X7))) )
& ( host(X5) = index(pendack,host(X7)) )
& ( elec_2 = index(status,host(X7)) )
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Halt(X2)))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X7))))
& setIn(X7,alive)
& ( host(X2) != host(X7) )
& ( host(X7) = s(index(pendack,host(X2))) ) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& ( host(X3) = index(pendack,host(X2)) )
& ( elec_2 = index(status,host(X2)) )
& ( index(elid,host(X2)) = X1 )
& setIn(X2,alive)
& ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
& ! [X8,X9,X10,X11] :
( ( norm != index(status,host(X8)) )
| ( host(X8) != index(ldr,host(X8)) )
| ~ setIn(X8,alive)
| ( host(X10) != s(index(pendack,host(X11))) )
| ( host(X9) != index(pendack,host(X11)) )
| ( elec_2 != index(status,host(X11)) )
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X12)))
| ~ setIn(X12,alive)
| ( elec_1 != index(status,host(X15)) )
| ( host(X13) != host(X15) )
| ( nbr_proc != host(X15) )
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X16] :
( ( host(X14) != X16 )
& ~ setIn(X16,index(down,host(X15)))
& leq(s(zero),X16)
& ~ leq(host(X15),X16) ) )
& ! [X17,X18,X19] :
( ( norm != index(status,host(X17)) )
| ( host(X17) != index(ldr,host(X17)) )
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X19)) )
| ~ elem(m_Halt(X19),queue(host(X18)))
| ~ setIn(X19,alive)
| leq(index(pendack,host(X19)),host(X17)) )
& ! [X20,X21] :
( ~ leq(index(pendack,host(X20)),index(pendack,host(X21)))
| ( elec_2 != index(status,host(X21)) )
| ( elec_2 != index(status,host(X20)) )
| ~ setIn(X21,alive)
| ~ setIn(X20,alive)
| leq(host(X20),host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ( elec_2 != index(status,host(X24)) )
| ( elec_2 != index(status,host(X22)) )
| ( host(X23) != host(X24) )
| ~ setIn(X24,alive)
| ~ setIn(X22,alive) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| ( elec_2 != index(status,host(X26)) )
| ( elec_2 != index(status,host(X25)) )
| ~ setIn(X26,alive)
| ~ setIn(X25,alive)
| leq(host(X25),host(X26)) )
& ! [X27,X28,X29] :
( ( norm != index(status,host(X27)) )
| ( host(X27) != index(ldr,host(X27)) )
| ~ setIn(X27,alive)
| ( host(X28) != host(X27) )
| ~ elem(m_Down(X28),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X30] :
( ( index(elid,host(X30)) = X30 )
| ~ setIn(X30,alive)
| ( ( elec_2 != index(status,host(X30)) )
& ( elec_1 != index(status,host(X30)) ) ) )
& ! [X31,X32] :
( ~ elem(m_Ack(X32,X31),queue(host(X32)))
| ( elec_1 != index(status,host(X32)) )
| ~ setIn(X32,alive) )
& ! [X33,X34] :
( leq(host(X33),index(pendack,host(X34)))
| ~ elem(m_Ack(X34,X33),queue(host(X34)))
| ~ setIn(X34,alive) )
& ! [X35,X36] :
( ~ setIn(X36,alive)
| ~ setIn(X35,alive)
| ( host(X35) != host(X36) )
| ( X35 = X36 ) )
& ! [X37,X38,X39] :
( ~ leq(host(X37),host(X39))
| ~ elem(m_Ack(X39,X37),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Halt(X41),queue(host(X40))) )
& ! [X42,X43] :
( ( host(X43) != host(X42) )
| ~ elem(m_Down(X43),queue(host(X42))) )
& ! [X44,X45] :
( ~ leq(host(X44),host(X45))
| ~ elem(m_Ldr(X45),queue(host(X44))) ) ),
inference(rectify,[],[f115]) ).
tff(f115,plain,
? [X0,X1,X2,X3] :
( ? [X42,X43,X44,X45] :
( ( norm = index(status,host(X42)) )
& ( host(X42) = index(ldr,host(X42)) )
& setIn(X42,alive)
& ( s(index(pendack,host(X45))) = host(X44) )
& ( index(pendack,host(X45)) = host(X43) )
& ( elec_2 = index(status,host(X45)) )
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& setIn(X45,alive)
& ( host(X2) != host(X45) )
& ( s(index(pendack,host(X2))) = host(X45) ) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& ( host(X3) = index(pendack,host(X2)) )
& ( elec_2 = index(status,host(X2)) )
& ( index(elid,host(X2)) = X1 )
& setIn(X2,alive)
& ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
& ! [X4,X5,X6,X7] :
( ( norm != index(status,host(X4)) )
| ( host(X4) != index(ldr,host(X4)) )
| ~ setIn(X4,alive)
| ( host(X6) != s(index(pendack,host(X7))) )
| ( host(X5) != index(pendack,host(X7)) )
| ( elec_2 != index(status,host(X7)) )
| ~ leq(nbr_proc,s(index(pendack,host(X7))))
| ~ elem(m_Ack(X7,X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ setIn(X7,alive) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| ( elec_1 != index(status,host(X11)) )
| ( host(X11) != host(X9) )
| ( nbr_proc != host(X11) )
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( ( host(X10) != X12 )
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15] :
( ( norm != index(status,host(X13)) )
| ( host(X13) != index(ldr,host(X13)) )
| ~ setIn(X13,alive)
| ( elec_2 != index(status,host(X15)) )
| ~ elem(m_Halt(X15),queue(host(X14)))
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X13)) )
& ! [X16,X17] :
( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
| ( elec_2 != index(status,host(X17)) )
| ( elec_2 != index(status,host(X16)) )
| ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(host(X16),host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| ( elec_2 != index(status,host(X20)) )
| ( elec_2 != index(status,host(X18)) )
| ( host(X19) != host(X20) )
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| ( elec_2 != index(status,host(X22)) )
| ( elec_2 != index(status,host(X21)) )
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( ( norm != index(status,host(X23)) )
| ( host(X23) != index(ldr,host(X23)) )
| ~ setIn(X23,alive)
| ( host(X23) != host(X24) )
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive) )
& ! [X26] :
( ( index(elid,host(X26)) = X26 )
| ~ setIn(X26,alive)
| ( ( elec_2 != index(status,host(X26)) )
& ( elec_1 != index(status,host(X26)) ) ) )
& ! [X27,X28] :
( ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ( elec_1 != index(status,host(X28)) )
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(host(X29),index(pendack,host(X30)))
| ~ elem(m_Ack(X30,X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| ( host(X31) != host(X32) )
| ( X31 = X32 ) )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( ( host(X38) != host(X39) )
| ~ elem(m_Down(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
inference(flattening,[],[f114]) ).
tff(f114,plain,
? [X0,X1,X2,X3] :
( ? [X42,X43,X44,X45] :
( ( norm = index(status,host(X42)) )
& ( host(X42) = index(ldr,host(X42)) )
& setIn(X42,alive)
& ( s(index(pendack,host(X45))) = host(X44) )
& ( index(pendack,host(X45)) = host(X43) )
& ( elec_2 = index(status,host(X45)) )
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& setIn(X45,alive)
& ( host(X2) != host(X45) )
& ( s(index(pendack,host(X2))) = host(X45) ) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& ( host(X3) = index(pendack,host(X2)) )
& ( elec_2 = index(status,host(X2)) )
& ( index(elid,host(X2)) = X1 )
& setIn(X2,alive)
& ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
& ! [X4,X5,X6,X7] :
( ( norm != index(status,host(X4)) )
| ( host(X4) != index(ldr,host(X4)) )
| ~ setIn(X4,alive)
| ( host(X6) != s(index(pendack,host(X7))) )
| ( host(X5) != index(pendack,host(X7)) )
| ( elec_2 != index(status,host(X7)) )
| ~ leq(nbr_proc,s(index(pendack,host(X7))))
| ~ elem(m_Ack(X7,X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ setIn(X7,alive) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| ( elec_1 != index(status,host(X11)) )
| ( host(X11) != host(X9) )
| ( nbr_proc != host(X11) )
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( ( host(X10) != X12 )
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15] :
( ( norm != index(status,host(X13)) )
| ( host(X13) != index(ldr,host(X13)) )
| ~ setIn(X13,alive)
| ( elec_2 != index(status,host(X15)) )
| ~ elem(m_Halt(X15),queue(host(X14)))
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X13)) )
& ! [X16,X17] :
( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
| ( elec_2 != index(status,host(X17)) )
| ( elec_2 != index(status,host(X16)) )
| ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(host(X16),host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| ( elec_2 != index(status,host(X20)) )
| ( elec_2 != index(status,host(X18)) )
| ( host(X19) != host(X20) )
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| ( elec_2 != index(status,host(X22)) )
| ( elec_2 != index(status,host(X21)) )
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( ( norm != index(status,host(X23)) )
| ( host(X23) != index(ldr,host(X23)) )
| ~ setIn(X23,alive)
| ( host(X23) != host(X24) )
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive) )
& ! [X26] :
( ( index(elid,host(X26)) = X26 )
| ~ setIn(X26,alive)
| ( ( elec_2 != index(status,host(X26)) )
& ( elec_1 != index(status,host(X26)) ) ) )
& ! [X27,X28] :
( ~ elem(m_Ack(X28,X27),queue(host(X28)))
| ( elec_1 != index(status,host(X28)) )
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(host(X29),index(pendack,host(X30)))
| ~ elem(m_Ack(X30,X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| ( host(X31) != host(X32) )
| ( X31 = X32 ) )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( ( host(X38) != host(X39) )
| ~ elem(m_Down(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
inference(ennf_transformation,[],[f69]) ).
tff(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
& ! [X4,X5,X6,X7] :
( ( ( host(X6) = s(index(pendack,host(X7))) )
& ( host(X5) = index(pendack,host(X7)) )
& ( elec_2 = index(status,host(X7)) )
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Ack(X7,X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& setIn(X7,alive) )
=> ~ ( ( norm = index(status,host(X4)) )
& ( host(X4) = index(ldr,host(X4)) )
& setIn(X4,alive) ) )
& ! [X8,X9,X10,X11] :
( ( ( elec_1 = index(status,host(X11)) )
& ( host(X11) = host(X9) )
& ( nbr_proc = host(X11) )
& elem(m_Down(X10),queue(host(X11)))
& ! [X12] :
( ( leq(s(zero),X12)
& ~ leq(host(X11),X12) )
=> ( ( host(X10) = X12 )
| setIn(X12,index(down,host(X11))) ) ) )
=> ~ ( elem(m_Down(X9),queue(host(X8)))
& setIn(X8,alive) ) )
& ! [X13,X14,X15] :
( ( ( elec_2 = index(status,host(X15)) )
& elem(m_Halt(X15),queue(host(X14)))
& setIn(X15,alive)
& ~ leq(index(pendack,host(X15)),host(X13)) )
=> ~ ( ( norm = index(status,host(X13)) )
& ( host(X13) = index(ldr,host(X13)) )
& setIn(X13,alive) ) )
& ! [X16,X17] :
( ( ( elec_2 = index(status,host(X17)) )
& ( elec_2 = index(status,host(X16)) )
& setIn(X17,alive)
& setIn(X16,alive)
& ~ leq(host(X16),host(X17)) )
=> ~ leq(index(pendack,host(X16)),index(pendack,host(X17))) )
& ! [X18,X19,X20] :
( ( ( elec_2 = index(status,host(X20)) )
& ( elec_2 = index(status,host(X18)) )
& ( host(X19) = host(X20) )
& setIn(X20,alive)
& setIn(X18,alive) )
=> ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X21,X22] :
( ( ( elec_2 = index(status,host(X22)) )
& ( elec_2 = index(status,host(X21)) )
& setIn(X22,alive)
& setIn(X21,alive)
& ~ leq(host(X21),host(X22)) )
=> leq(index(pendack,host(X22)),host(X21)) )
& ! [X23,X24,X25] :
( ( ( host(X23) = host(X24) )
& elem(m_Down(X24),queue(host(X25)))
& setIn(X25,alive) )
=> ~ ( ( norm = index(status,host(X23)) )
& ( host(X23) = index(ldr,host(X23)) )
& setIn(X23,alive) ) )
& ! [X26] :
( ( setIn(X26,alive)
& ( ( elec_2 = index(status,host(X26)) )
| ( elec_1 = index(status,host(X26)) ) ) )
=> ( index(elid,host(X26)) = X26 ) )
& ! [X27,X28] :
( ( ( elec_1 = index(status,host(X28)) )
& setIn(X28,alive) )
=> ~ elem(m_Ack(X28,X27),queue(host(X28))) )
& ! [X29,X30] :
( ( elem(m_Ack(X30,X29),queue(host(X30)))
& setIn(X30,alive) )
=> leq(host(X29),index(pendack,host(X30))) )
& ! [X31,X32] :
( ( ( host(X31) = host(X32) )
& ( X31 != X32 ) )
=> ( ~ setIn(X32,alive)
| ~ setIn(X31,alive) ) )
& ! [X33,X34,X35] :
( elem(m_Ack(X35,X33),queue(host(X34)))
=> ~ leq(host(X33),host(X35)) )
& ! [X36,X37] :
( elem(m_Halt(X37),queue(host(X36)))
=> ~ leq(host(X36),host(X37)) )
& ! [X38,X39] :
( elem(m_Down(X39),queue(host(X38)))
=> ( host(X38) != host(X39) ) )
& ! [X40,X41] :
( elem(m_Ldr(X41),queue(host(X40)))
=> ~ leq(host(X40),host(X41)) ) )
=> ( setIn(X2,alive)
=> ( ( ( host(X3) = index(pendack,host(X2)) )
& ( elec_2 = index(status,host(X2)) )
& ( index(elid,host(X2)) = X1 ) )
=> ( ~ leq(nbr_proc,index(pendack,host(X2)))
=> ! [X42,X43,X44,X45] :
( ( s(index(pendack,host(X2))) = host(X45) )
=> ( ( host(X2) != host(X45) )
=> ( ( ( s(index(pendack,host(X45))) = host(X44) )
& ( index(pendack,host(X45)) = host(X43) )
& ( elec_2 = index(status,host(X45)) )
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& leq(nbr_proc,s(index(pendack,host(X45))))
& setIn(X45,alive) )
=> ~ ( ( norm = index(status,host(X42)) )
& ( host(X42) = index(ldr,host(X42)) )
& setIn(X42,alive) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
tff(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11) )
& ! [X6,X15,X14,X13] :
( ( ( host(X14) = s(index(pendack,host(X13))) )
& ( index(pendack,host(X13)) = host(X15) )
& ( elec_2 = index(status,host(X13)) )
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( ( norm = index(status,host(X6)) )
& ( host(X6) = index(ldr,host(X6)) )
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( ( elec_1 = index(status,host(X13)) )
& ( host(X13) = host(X15) )
& ( nbr_proc = host(X13) )
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( ( host(X14) = X16 )
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( ( elec_2 = index(status,host(X13)) )
& elem(m_Halt(X13),queue(host(X14)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( ( norm = index(status,host(X6)) )
& ( host(X6) = index(ldr,host(X6)) )
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( ( elec_2 = index(status,host(X13)) )
& ( elec_2 = index(status,host(X6)) )
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X14,X13] :
( ( ( elec_2 = index(status,host(X13)) )
& ( elec_2 = index(status,host(X6)) )
& ( host(X13) = host(X14) )
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X13] :
( ( ( elec_2 = index(status,host(X13)) )
& ( elec_2 = index(status,host(X6)) )
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( ( host(X6) = host(X14) )
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( ( norm = index(status,host(X6)) )
& ( host(X6) = index(ldr,host(X6)) )
& setIn(X6,alive) ) )
& ! [X6] :
( ( setIn(X6,alive)
& ( ( elec_2 = index(status,host(X6)) )
| ( elec_1 = index(status,host(X6)) ) ) )
=> ( index(elid,host(X6)) = X6 ) )
& ! [X6,X13] :
( ( ( elec_1 = index(status,host(X13)) )
& setIn(X13,alive) )
=> ~ elem(m_Ack(X13,X6),queue(host(X13))) )
& ! [X6,X13] :
( ( elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> leq(host(X6),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( ( host(X6) = host(X13) )
& ( X6 != X13 ) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ( host(X6) != host(X13) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( ( host(X5) = index(pendack,host(X4)) )
& ( elec_2 = index(status,host(X4)) )
& ( index(elid,host(X4)) = X12 ) )
=> ( ~ leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6,X17,X18,X19] :
( ( s(index(pendack,host(X4))) = host(X19) )
=> ( ( host(X4) != host(X19) )
=> ( ( ( s(index(pendack,host(X19))) = host(X18) )
& ( index(pendack,host(X19)) = host(X17) )
& ( elec_2 = index(status,host(X19)) )
& elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Halt(X4)))
& elem(m_Down(X18),snoc(queue(host(X19)),m_Halt(X4)))
& leq(nbr_proc,s(index(pendack,host(X19))))
& setIn(X19,alive) )
=> ~ ( ( norm = index(status,host(X6)) )
& ( host(X6) = index(ldr,host(X6)) )
& setIn(X6,alive) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
tff(f67,conjecture,
! [X11,X12,X4,X5] :
( ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11) )
& ! [X6,X15,X14,X13] :
( ( ( host(X14) = s(index(pendack,host(X13))) )
& ( index(pendack,host(X13)) = host(X15) )
& ( elec_2 = index(status,host(X13)) )
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( ( norm = index(status,host(X6)) )
& ( host(X6) = index(ldr,host(X6)) )
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( ( elec_1 = index(status,host(X13)) )
& ( host(X13) = host(X15) )
& ( nbr_proc = host(X13) )
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( ( host(X14) = X16 )
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( ( elec_2 = index(status,host(X13)) )
& elem(m_Halt(X13),queue(host(X14)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( ( norm = index(status,host(X6)) )
& ( host(X6) = index(ldr,host(X6)) )
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( ( elec_2 = index(status,host(X13)) )
& ( elec_2 = index(status,host(X6)) )
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X14,X13] :
( ( ( elec_2 = index(status,host(X13)) )
& ( elec_2 = index(status,host(X6)) )
& ( host(X13) = host(X14) )
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X13] :
( ( ( elec_2 = index(status,host(X13)) )
& ( elec_2 = index(status,host(X6)) )
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( ( host(X6) = host(X14) )
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( ( norm = index(status,host(X6)) )
& ( host(X6) = index(ldr,host(X6)) )
& setIn(X6,alive) ) )
& ! [X6] :
( ( setIn(X6,alive)
& ( ( elec_2 = index(status,host(X6)) )
| ( elec_1 = index(status,host(X6)) ) ) )
=> ( index(elid,host(X6)) = X6 ) )
& ! [X6,X13] :
( ( ( elec_1 = index(status,host(X13)) )
& setIn(X13,alive) )
=> ~ elem(m_Ack(X13,X6),queue(host(X13))) )
& ! [X6,X13] :
( ( elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> leq(host(X6),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( ( host(X6) = host(X13) )
& ( X6 != X13 ) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ( host(X6) != host(X13) ) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( ( host(X5) = index(pendack,host(X4)) )
& ( elec_2 = index(status,host(X4)) )
& ( index(elid,host(X4)) = X12 ) )
=> ( ~ leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6,X17,X18,X19] :
( ( s(index(pendack,host(X4))) = host(X19) )
=> ( ( host(X4) != host(X19) )
=> ( ( ( s(index(pendack,host(X19))) = host(X18) )
& ( index(pendack,host(X19)) = host(X17) )
& ( elec_2 = index(status,host(X19)) )
& elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Halt(X4)))
& elem(m_Down(X18),snoc(queue(host(X19)),m_Halt(X4)))
& leq(nbr_proc,s(index(pendack,host(X19))))
& setIn(X19,alive) )
=> ~ ( ( norm = index(status,host(X6)) )
& ( host(X6) = index(ldr,host(X6)) )
& setIn(X6,alive) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5GIqoS1Vh/Vampire---4.8_30569',conj) ).
tff(f357,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ sQ11_eqProxy(X0,X1,X2)
| sQ11_eqProxy(X0,X2,X1) ),
inference(equality_proxy_axiom,[],[f284]) ).
tff(f702,plain,
( ~ sQ11_eqProxy($i,host(sK5),index(pendack,host(sK7)))
| ~ spl12_1 ),
inference(resolution,[],[f531,f525]) ).
tff(f525,plain,
elem(m_Ack(sK7,sK5),queue(host(sK7))),
inference(subsumption_resolution,[],[f520,f317]) ).
tff(f317,plain,
! [X2: $i,X0: $i,X1: $i] : ~ sQ11_eqProxy($i,m_Ack(X0,X1),m_Halt(X2)),
inference(equality_proxy_replacement,[],[f202,f284]) ).
tff(f202,plain,
! [X2: $i,X0: $i,X1: $i] : ( m_Ack(X0,X1) != m_Halt(X2) ),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
! [X0,X1,X2] : ( m_Ack(X0,X1) != m_Halt(X2) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X4,X5,X6] : ( m_Ack(X4,X5) != m_Halt(X6) ),
file('/export/starexec/sandbox/tmp/tmp.h5GIqoS1Vh/Vampire---4.8_30569',axiom_11) ).
tff(f520,plain,
( sQ11_eqProxy($i,m_Ack(sK7,sK5),m_Halt(sK2))
| elem(m_Ack(sK7,sK5),queue(host(sK7))) ),
inference(resolution,[],[f323,f188]) ).
tff(f188,plain,
elem(m_Ack(sK7,sK5),snoc(queue(host(sK7)),m_Halt(sK2))),
inference(cnf_transformation,[],[f135]) ).
tff(f323,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ elem(X0,snoc(X2,X1))
| sQ11_eqProxy($i,X0,X1)
| elem(X0,X2) ),
inference(equality_proxy_replacement,[],[f218,f284]) ).
tff(f218,plain,
! [X2: $i,X0: $i,X1: $i] :
( elem(X0,X2)
| ( X0 = X1 )
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& ( X0 != X1 ) ) )
& ( elem(X0,X2)
| ( X0 = X1 )
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f146]) ).
tff(f146,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& ( X0 != X1 ) ) )
& ( elem(X0,X2)
| ( X0 = X1 )
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f81]) ).
tff(f81,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| ( X0 = X1 ) ) ),
inference(rectify,[],[f48]) ).
tff(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| ( X4 = X5 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.h5GIqoS1Vh/Vampire---4.8_30569',axiom_47) ).
tff(f531,plain,
( ! [X0: $i] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ~ sQ11_eqProxy($i,host(X0),index(pendack,host(sK7))) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f530,f289]) ).
tff(f289,plain,
sQ11_eqProxy($i,elec_2,index(status,host(sK7))),
inference(equality_proxy_replacement,[],[f189,f284]) ).
tff(f189,plain,
elec_2 = index(status,host(sK7)),
inference(cnf_transformation,[],[f135]) ).
tff(f530,plain,
( ! [X0: $i] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ~ sQ11_eqProxy($i,elec_2,index(status,host(sK7)))
| ~ sQ11_eqProxy($i,host(X0),index(pendack,host(sK7))) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f529,f186]) ).
tff(f186,plain,
leq(nbr_proc,s(index(pendack,host(sK7)))),
inference(cnf_transformation,[],[f135]) ).
tff(f529,plain,
( ! [X0: $i] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ sQ11_eqProxy($i,elec_2,index(status,host(sK7)))
| ~ sQ11_eqProxy($i,host(X0),index(pendack,host(sK7))) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f528,f287]) ).
tff(f287,plain,
sQ11_eqProxy($i,host(sK6),s(index(pendack,host(sK7)))),
inference(equality_proxy_replacement,[],[f191,f284]) ).
tff(f191,plain,
host(sK6) = s(index(pendack,host(sK7))),
inference(cnf_transformation,[],[f135]) ).
tff(f528,plain,
( ! [X0: $i] :
( ~ sQ11_eqProxy($i,host(sK6),s(index(pendack,host(sK7))))
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ sQ11_eqProxy($i,elec_2,index(status,host(sK7)))
| ~ sQ11_eqProxy($i,host(X0),index(pendack,host(sK7))) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f526,f185]) ).
tff(f185,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f135]) ).
tff(f526,plain,
( ! [X0: $i] :
( ~ setIn(sK7,alive)
| ~ sQ11_eqProxy($i,host(sK6),s(index(pendack,host(sK7))))
| ~ elem(m_Ack(sK7,X0),queue(host(sK7)))
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ sQ11_eqProxy($i,elec_2,index(status,host(sK7)))
| ~ sQ11_eqProxy($i,host(X0),index(pendack,host(sK7))) )
| ~ spl12_1 ),
inference(resolution,[],[f524,f360]) ).
tff(f360,plain,
( ! [X10: $i,X11: $i,X9: $i] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive)
| ~ sQ11_eqProxy($i,host(X10),s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ sQ11_eqProxy($i,elec_2,index(status,host(X11)))
| ~ sQ11_eqProxy($i,host(X9),index(pendack,host(X11))) )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f359]) ).
tff(f359,plain,
( spl12_1
<=> ! [X9,X11,X10] :
( ~ sQ11_eqProxy($i,host(X10),s(index(pendack,host(X11))))
| ~ setIn(X11,alive)
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ sQ11_eqProxy($i,elec_2,index(status,host(X11)))
| ~ sQ11_eqProxy($i,host(X9),index(pendack,host(X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
tff(f524,plain,
elem(m_Down(sK6),queue(host(sK7))),
inference(subsumption_resolution,[],[f523,f340]) ).
tff(f340,plain,
! [X0: $i,X1: $i] : ~ sQ11_eqProxy($i,m_Halt(X1),m_Down(X0)),
inference(equality_proxy_replacement,[],[f255,f284]) ).
tff(f255,plain,
! [X0: $i,X1: $i] : ( m_Halt(X1) != m_Down(X0) ),
inference(cnf_transformation,[],[f98]) ).
tff(f98,plain,
! [X0,X1] : ( m_Halt(X1) != m_Down(X0) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X4,X5] : ( m_Halt(X5) != m_Down(X4) ),
file('/export/starexec/sandbox/tmp/tmp.h5GIqoS1Vh/Vampire---4.8_30569',axiom_17) ).
tff(f523,plain,
( sQ11_eqProxy($i,m_Halt(sK2),m_Down(sK6))
| elem(m_Down(sK6),queue(host(sK7))) ),
inference(forward_literal_rewriting,[],[f519,f357]) ).
tff(f519,plain,
( sQ11_eqProxy($i,m_Down(sK6),m_Halt(sK2))
| elem(m_Down(sK6),queue(host(sK7))) ),
inference(resolution,[],[f323,f187]) ).
tff(f187,plain,
elem(m_Down(sK6),snoc(queue(host(sK7)),m_Halt(sK2))),
inference(cnf_transformation,[],[f135]) ).
tff(f368,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f367]) ).
tff(f367,plain,
( $false
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f366,f285]) ).
tff(f285,plain,
sQ11_eqProxy($i,norm,index(status,host(sK4))),
inference(equality_proxy_replacement,[],[f194,f284]) ).
tff(f194,plain,
norm = index(status,host(sK4)),
inference(cnf_transformation,[],[f135]) ).
tff(f366,plain,
( ~ sQ11_eqProxy($i,norm,index(status,host(sK4)))
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f365,f192]) ).
tff(f192,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f135]) ).
tff(f365,plain,
( ~ setIn(sK4,alive)
| ~ sQ11_eqProxy($i,norm,index(status,host(sK4)))
| ~ spl12_2 ),
inference(resolution,[],[f363,f286]) ).
tff(f286,plain,
sQ11_eqProxy($i,host(sK4),index(ldr,host(sK4))),
inference(equality_proxy_replacement,[],[f193,f284]) ).
tff(f193,plain,
host(sK4) = index(ldr,host(sK4)),
inference(cnf_transformation,[],[f135]) ).
tff(f363,plain,
( ! [X8: $i] :
( ~ sQ11_eqProxy($i,host(X8),index(ldr,host(X8)))
| ~ setIn(X8,alive)
| ~ sQ11_eqProxy($i,norm,index(status,host(X8))) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f362]) ).
tff(f362,plain,
( spl12_2
<=> ! [X8] :
( ~ sQ11_eqProxy($i,norm,index(status,host(X8)))
| ~ setIn(X8,alive)
| ~ sQ11_eqProxy($i,host(X8),index(ldr,host(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
tff(f364,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f296,f362,f359]) ).
tff(f296,plain,
! [X10: $i,X11: $i,X8: $i,X9: $i] :
( ~ sQ11_eqProxy($i,norm,index(status,host(X8)))
| ~ sQ11_eqProxy($i,host(X8),index(ldr,host(X8)))
| ~ setIn(X8,alive)
| ~ sQ11_eqProxy($i,host(X10),s(index(pendack,host(X11))))
| ~ sQ11_eqProxy($i,host(X9),index(pendack,host(X11)))
| ~ sQ11_eqProxy($i,elec_2,index(status,host(X11)))
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) ),
inference(equality_proxy_replacement,[],[f176,f284]) ).
tff(f176,plain,
! [X10: $i,X11: $i,X8: $i,X9: $i] :
( ( norm != index(status,host(X8)) )
| ( host(X8) != index(ldr,host(X8)) )
| ~ setIn(X8,alive)
| ( host(X10) != s(index(pendack,host(X11))) )
| ( host(X9) != index(pendack,host(X11)) )
| ( elec_2 != index(status,host(X11)) )
| ~ leq(nbr_proc,s(index(pendack,host(X11))))
| ~ elem(m_Ack(X11,X9),queue(host(X11)))
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(X11,alive) ),
inference(cnf_transformation,[],[f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:06:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.h5GIqoS1Vh/Vampire---4.8_30569
% 0.58/0.75 % (30684)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76 % (30677)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76 % (30679)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (30678)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.76 % (30681)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.76 % (30680)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.76 % (30682)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.76 % (30683)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.61/0.77 % (30677)First to succeed.
% 0.61/0.77 % (30684)Instruction limit reached!
% 0.61/0.77 % (30684)------------------------------
% 0.61/0.77 % (30684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (30684)Termination reason: Unknown
% 0.61/0.77 % (30684)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (30684)Memory used [KB]: 1814
% 0.61/0.77 % (30684)Time elapsed: 0.020 s
% 0.61/0.77 % (30684)Instructions burned: 59 (million)
% 0.61/0.77 % (30684)------------------------------
% 0.61/0.77 % (30684)------------------------------
% 0.61/0.77 % (30680)Instruction limit reached!
% 0.61/0.77 % (30680)------------------------------
% 0.61/0.77 % (30680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (30680)Termination reason: Unknown
% 0.61/0.77 % (30680)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (30680)Memory used [KB]: 1538
% 0.61/0.77 % (30680)Time elapsed: 0.020 s
% 0.61/0.77 % (30680)Instructions burned: 33 (million)
% 0.61/0.77 % (30680)------------------------------
% 0.61/0.77 % (30680)------------------------------
% 0.61/0.78 % (30685)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.78 % (30681)Instruction limit reached!
% 0.61/0.78 % (30681)------------------------------
% 0.61/0.78 % (30681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (30681)Termination reason: Unknown
% 0.61/0.78 % (30681)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (30681)Memory used [KB]: 1505
% 0.61/0.78 % (30681)Time elapsed: 0.022 s
% 0.61/0.78 % (30681)Instructions burned: 35 (million)
% 0.61/0.78 % (30681)------------------------------
% 0.61/0.78 % (30681)------------------------------
% 0.61/0.78 % (30677)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30676"
% 0.61/0.78 % (30677)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (30677)------------------------------
% 0.61/0.78 % (30677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (30677)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (30677)Memory used [KB]: 1348
% 0.61/0.78 % (30677)Time elapsed: 0.023 s
% 0.61/0.78 % (30677)Instructions burned: 40 (million)
% 0.61/0.78 % (30676)Success in time 0.397 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------