%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV461+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 01:15:52 PM UTC 2026
% Result : Theorem 2.25s 0.74s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 102 ( 36 unt; 8 def)
% Number of atoms : 913 ( 381 equ)
% Maximal formula atoms : 97 ( 8 avg)
% Number of connectives : 1320 ( 509 ~; 367 |; 353 &)
% ( 10 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 19 con; 0-2 aty)
% Number of variables : 374 ( 0 sgn 353 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f12,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f18,axiom,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f67,conjecture,
! [X0,X1] :
( ( ! [X2] :
( host(X1) = host(X2)
=> ~ setIn(X2,alive) )
& ! [X2,X3] :
( elem(m_Ldr(X3),queue(host(X2)))
=> ~ leq(host(X2),host(X3)) )
& ! [X2,X3] :
( elem(m_Down(X3),queue(host(X2)))
=> host(X3) != host(X2) )
& ! [X2,X3] :
( elem(m_Halt(X3),queue(host(X2)))
=> ~ leq(host(X2),host(X3)) )
& ! [X2,X3,X4] :
( elem(m_Ack(X4,X2),queue(host(X3)))
=> ~ leq(host(X2),host(X4)) )
& ! [X2,X3] :
( ( X3 != X2
& host(X3) = host(X2) )
=> ( ~ setIn(X2,alive)
| ~ setIn(X3,alive) ) )
& ! [X2,X3] :
( ( setIn(X3,alive)
& elem(m_Ack(X3,X2),queue(host(X3))) )
=> leq(host(X2),index(pendack,host(X3))) )
& ! [X2,X3] :
( ( setIn(X3,alive)
& index(status,host(X3)) = elec_1 )
=> ~ elem(m_Ack(X3,X2),queue(host(X3))) )
& ! [X2] :
( ( ( index(status,host(X2)) = elec_1
| index(status,host(X2)) = elec_2 )
& setIn(X2,alive) )
=> index(elid,host(X2)) = X2 )
& ! [X2,X3,X4] :
( ( setIn(X4,alive)
& elem(m_Down(X3),queue(host(X4)))
& host(X3) = host(X2) )
=> ~ ( setIn(X2,alive)
& index(ldr,host(X2)) = host(X2)
& index(status,host(X2)) = norm ) )
& ! [X2,X3,X4] :
( ( setIn(X2,alive)
& setIn(X4,alive)
& host(X4) = host(X3)
& index(status,host(X2)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ elem(m_Ack(X2,X3),queue(host(X2))) )
& ! [X2,X3] :
( ( ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& setIn(X3,alive)
& index(status,host(X2)) = elec_2
& index(status,host(X3)) = elec_2 )
=> leq(index(pendack,host(X3)),host(X2)) )
& ! [X2,X3] :
( ( ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& setIn(X3,alive)
& index(status,host(X2)) = elec_2
& index(status,host(X3)) = elec_2 )
=> ~ leq(index(pendack,host(X2)),index(pendack,host(X3))) )
& ! [X2,X3,X4] :
( ( ~ leq(index(pendack,host(X4)),host(X2))
& setIn(X4,alive)
& elem(m_Halt(X4),queue(host(X3)))
& index(status,host(X4)) = elec_2 )
=> ~ ( setIn(X2,alive)
& index(ldr,host(X2)) = host(X2)
& index(status,host(X2)) = norm ) )
& ! [X2,X3,X4,X5] :
( ( ! [X6] :
( ( ~ leq(host(X5),X6)
& leq(s(zero),X6) )
=> ( setIn(X6,index(down,host(X5)))
| X6 = host(X4) ) )
& elem(m_Down(X4),queue(host(X5)))
& host(X5) = host(X3)
& host(X5) = nbr_proc
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X2,alive)
& elem(m_Down(X3),queue(host(X2))) ) )
& ! [X2,X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& elem(m_Ack(X5,X3),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X3) = index(pendack,host(X5))
& host(X4) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X2,alive)
& index(ldr,host(X2)) = host(X2)
& index(status,host(X2)) = norm ) ) )
=> ( queue(host(X1)) = q_nil
=> ( ( ! [X2] :
( host(X1) = host(X2)
=> leq(X2,X0) )
& ~ setIn(X0,pids)
& host(X1) = host(X0) )
=> ( host(X0) = s(zero)
=> ( ~ leq(nbr_proc,host(X0))
=> ! [X2] :
( host(X0) != host(X2)
=> ! [X3,X4,X7] :
( s(host(X0)) = host(X7)
=> ( host(X0) != host(X7)
=> ( ( ( setIn(X7,alive)
| X7 = X0 )
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Down(X4),snoc(queue(host(X7)),m_Halt(X0)))
& elem(m_Ack(X7,X3),snoc(queue(host(X7)),m_Halt(X0)))
& index(status,host(X7)) = elec_2
& host(X3) = index(pendack,host(X7))
& host(X4) = s(index(pendack,host(X7))) )
=> ~ ( ( setIn(X2,alive)
| X2 = X0 )
& index(ldr,host(X2)) = host(X2)
& index(status,host(X2)) = norm ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1] :
( ( ! [X2] :
( host(X1) = host(X2)
=> ~ setIn(X2,alive) )
& ! [X2,X3] :
( elem(m_Ldr(X3),queue(host(X2)))
=> ~ leq(host(X2),host(X3)) )
& ! [X2,X3] :
( elem(m_Down(X3),queue(host(X2)))
=> host(X3) != host(X2) )
& ! [X2,X3] :
( elem(m_Halt(X3),queue(host(X2)))
=> ~ leq(host(X2),host(X3)) )
& ! [X2,X3,X4] :
( elem(m_Ack(X4,X2),queue(host(X3)))
=> ~ leq(host(X2),host(X4)) )
& ! [X2,X3] :
( ( X3 != X2
& host(X3) = host(X2) )
=> ( ~ setIn(X2,alive)
| ~ setIn(X3,alive) ) )
& ! [X2,X3] :
( ( setIn(X3,alive)
& elem(m_Ack(X3,X2),queue(host(X3))) )
=> leq(host(X2),index(pendack,host(X3))) )
& ! [X2,X3] :
( ( setIn(X3,alive)
& index(status,host(X3)) = elec_1 )
=> ~ elem(m_Ack(X3,X2),queue(host(X3))) )
& ! [X2] :
( ( ( index(status,host(X2)) = elec_1
| index(status,host(X2)) = elec_2 )
& setIn(X2,alive) )
=> index(elid,host(X2)) = X2 )
& ! [X2,X3,X4] :
( ( setIn(X4,alive)
& elem(m_Down(X3),queue(host(X4)))
& host(X3) = host(X2) )
=> ~ ( setIn(X2,alive)
& index(ldr,host(X2)) = host(X2)
& index(status,host(X2)) = norm ) )
& ! [X2,X3,X4] :
( ( setIn(X2,alive)
& setIn(X4,alive)
& host(X4) = host(X3)
& index(status,host(X2)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ elem(m_Ack(X2,X3),queue(host(X2))) )
& ! [X2,X3] :
( ( ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& setIn(X3,alive)
& index(status,host(X2)) = elec_2
& index(status,host(X3)) = elec_2 )
=> leq(index(pendack,host(X3)),host(X2)) )
& ! [X2,X3] :
( ( ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& setIn(X3,alive)
& index(status,host(X2)) = elec_2
& index(status,host(X3)) = elec_2 )
=> ~ leq(index(pendack,host(X2)),index(pendack,host(X3))) )
& ! [X2,X3,X4] :
( ( ~ leq(index(pendack,host(X4)),host(X2))
& setIn(X4,alive)
& elem(m_Halt(X4),queue(host(X3)))
& index(status,host(X4)) = elec_2 )
=> ~ ( setIn(X2,alive)
& index(ldr,host(X2)) = host(X2)
& index(status,host(X2)) = norm ) )
& ! [X2,X3,X4,X5] :
( ( ! [X6] :
( ( ~ leq(host(X5),X6)
& leq(s(zero),X6) )
=> ( setIn(X6,index(down,host(X5)))
| X6 = host(X4) ) )
& elem(m_Down(X4),queue(host(X5)))
& host(X5) = host(X3)
& host(X5) = nbr_proc
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X2,alive)
& elem(m_Down(X3),queue(host(X2))) ) )
& ! [X2,X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& elem(m_Ack(X5,X3),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X3) = index(pendack,host(X5))
& host(X4) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X2,alive)
& index(ldr,host(X2)) = host(X2)
& index(status,host(X2)) = norm ) ) )
=> ( queue(host(X1)) = q_nil
=> ( ( ! [X2] :
( host(X1) = host(X2)
=> leq(X2,X0) )
& ~ setIn(X0,pids)
& host(X1) = host(X0) )
=> ( host(X0) = s(zero)
=> ( ~ leq(nbr_proc,host(X0))
=> ! [X2] :
( host(X0) != host(X2)
=> ! [X3,X4,X7] :
( s(host(X0)) = host(X7)
=> ( host(X0) != host(X7)
=> ( ( ( setIn(X7,alive)
| X7 = X0 )
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Down(X4),snoc(queue(host(X7)),m_Halt(X0)))
& elem(m_Ack(X7,X3),snoc(queue(host(X7)),m_Halt(X0)))
& index(status,host(X7)) = elec_2
& host(X3) = index(pendack,host(X7))
& host(X4) = s(index(pendack,host(X7))) )
=> ~ ( ( setIn(X2,alive)
| X2 = X0 )
& index(ldr,host(X2)) = host(X2)
& index(status,host(X2)) = norm ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1] :
( ( ! [X2] :
( host(X1) = host(X2)
=> ~ setIn(X2,alive) )
& ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X7,X8] :
( elem(m_Halt(X8),queue(host(X7)))
=> ~ leq(host(X7),host(X8)) )
& ! [X9,X10,X11] :
( elem(m_Ack(X11,X9),queue(host(X10)))
=> ~ leq(host(X9),host(X11)) )
& ! [X12,X13] :
( ( X12 != X13
& host(X12) = host(X13) )
=> ( ~ setIn(X12,alive)
| ~ setIn(X13,alive) ) )
& ! [X14,X15] :
( ( setIn(X15,alive)
& elem(m_Ack(X15,X14),queue(host(X15))) )
=> leq(host(X14),index(pendack,host(X15))) )
& ! [X16,X17] :
( ( setIn(X17,alive)
& elec_1 = index(status,host(X17)) )
=> ~ elem(m_Ack(X17,X16),queue(host(X17))) )
& ! [X18] :
( ( ( elec_1 = index(status,host(X18))
| elec_2 = index(status,host(X18)) )
& setIn(X18,alive) )
=> index(elid,host(X18)) = X18 )
& ! [X19,X20,X21] :
( ( setIn(X21,alive)
& elem(m_Down(X20),queue(host(X21)))
& host(X19) = host(X20) )
=> ~ ( setIn(X19,alive)
& host(X19) = index(ldr,host(X19))
& norm = index(status,host(X19)) ) )
& ! [X22,X23,X24] :
( ( setIn(X22,alive)
& setIn(X24,alive)
& host(X23) = host(X24)
& elec_2 = index(status,host(X22))
& elec_2 = index(status,host(X24)) )
=> ~ elem(m_Ack(X22,X23),queue(host(X22))) )
& ! [X25,X26] :
( ( ~ leq(host(X25),host(X26))
& setIn(X25,alive)
& setIn(X26,alive)
& elec_2 = index(status,host(X25))
& elec_2 = index(status,host(X26)) )
=> leq(index(pendack,host(X26)),host(X25)) )
& ! [X27,X28] :
( ( ~ leq(host(X27),host(X28))
& setIn(X27,alive)
& setIn(X28,alive)
& elec_2 = index(status,host(X27))
& elec_2 = index(status,host(X28)) )
=> ~ leq(index(pendack,host(X27)),index(pendack,host(X28))) )
& ! [X29,X30,X31] :
( ( ~ leq(index(pendack,host(X31)),host(X29))
& setIn(X31,alive)
& elem(m_Halt(X31),queue(host(X30)))
& elec_2 = index(status,host(X31)) )
=> ~ ( setIn(X29,alive)
& host(X29) = index(ldr,host(X29))
& norm = index(status,host(X29)) ) )
& ! [X32,X33,X34,X35] :
( ( ! [X36] :
( ( ~ leq(host(X35),X36)
& leq(s(zero),X36) )
=> ( setIn(X36,index(down,host(X35)))
| host(X34) = X36 ) )
& elem(m_Down(X34),queue(host(X35)))
& host(X35) = host(X33)
& nbr_proc = host(X35)
& elec_1 = index(status,host(X35)) )
=> ~ ( setIn(X32,alive)
& elem(m_Down(X33),queue(host(X32))) ) )
& ! [X37,X38,X39,X40] :
( ( setIn(X40,alive)
& elem(m_Down(X39),queue(host(X40)))
& elem(m_Ack(X40,X38),queue(host(X40)))
& leq(nbr_proc,s(index(pendack,host(X40))))
& elec_2 = index(status,host(X40))
& index(pendack,host(X40)) = host(X38)
& s(index(pendack,host(X40))) = host(X39) )
=> ~ ( setIn(X37,alive)
& host(X37) = index(ldr,host(X37))
& norm = index(status,host(X37)) ) ) )
=> ( queue(host(X1)) = q_nil
=> ( ( ! [X41] :
( host(X1) = host(X41)
=> leq(X41,X0) )
& ~ setIn(X0,pids)
& host(X1) = host(X0) )
=> ( host(X0) = s(zero)
=> ( ~ leq(nbr_proc,host(X0))
=> ! [X42] :
( host(X0) != host(X42)
=> ! [X43,X44,X45] :
( s(host(X0)) = host(X45)
=> ( host(X0) != host(X45)
=> ( ( ( setIn(X45,alive)
| X0 = X45 )
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X0)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X0)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44) )
=> ~ ( ( setIn(X42,alive)
| X0 = X42 )
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42)) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X1] :
( ? [X42] :
( ? [X43,X44,X45] :
( ( setIn(X42,alive)
| X0 = X42 )
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42))
& ( setIn(X45,alive)
| X0 = X45 )
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X0)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X0)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44)
& host(X0) != host(X45)
& s(host(X0)) = host(X45) )
& host(X0) != host(X42) )
& ~ leq(nbr_proc,host(X0))
& host(X0) = s(zero)
& ! [X41] :
( leq(X41,X0)
| host(X1) != host(X41) )
& ~ setIn(X0,pids)
& host(X1) = host(X0)
& queue(host(X1)) = q_nil
& ! [X2] :
( ~ setIn(X2,alive)
| host(X1) != host(X2) )
& ! [X3,X4] :
( ~ leq(host(X3),host(X4))
| ~ elem(m_Ldr(X4),queue(host(X3))) )
& ! [X5,X6] :
( host(X5) != host(X6)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Halt(X8),queue(host(X7))) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| X12 = X13
| host(X12) != host(X13) )
& ! [X14,X15] :
( leq(host(X14),index(pendack,host(X15)))
| ~ setIn(X15,alive)
| ~ elem(m_Ack(X15,X14),queue(host(X15))) )
& ! [X16,X17] :
( ~ elem(m_Ack(X17,X16),queue(host(X17)))
| ~ setIn(X17,alive)
| elec_1 != index(status,host(X17)) )
& ! [X18] :
( index(elid,host(X18)) = X18
| ( elec_1 != index(status,host(X18))
& elec_2 != index(status,host(X18)) )
| ~ setIn(X18,alive) )
& ! [X19,X20,X21] :
( ~ setIn(X19,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| ~ setIn(X21,alive)
| ~ elem(m_Down(X20),queue(host(X21)))
| host(X19) != host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ~ setIn(X22,alive)
| ~ setIn(X24,alive)
| host(X23) != host(X24)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| leq(host(X25),host(X26))
| ~ setIn(X25,alive)
| ~ setIn(X26,alive)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X26)) )
& ! [X27,X28] :
( ~ leq(index(pendack,host(X27)),index(pendack,host(X28)))
| leq(host(X27),host(X28))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( ~ setIn(X29,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| leq(index(pendack,host(X31)),host(X29))
| ~ setIn(X31,alive)
| ~ elem(m_Halt(X31),queue(host(X30)))
| elec_2 != index(status,host(X31)) )
& ! [X32,X33,X34,X35] :
( ~ setIn(X32,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ? [X36] :
( ~ setIn(X36,index(down,host(X35)))
& host(X34) != X36
& ~ leq(host(X35),X36)
& leq(s(zero),X36) )
| ~ elem(m_Down(X34),queue(host(X35)))
| host(X35) != host(X33)
| nbr_proc != host(X35)
| elec_1 != index(status,host(X35)) )
& ! [X37,X38,X39,X40] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X40,alive)
| ~ elem(m_Down(X39),queue(host(X40)))
| ~ elem(m_Ack(X40,X38),queue(host(X40)))
| ~ leq(nbr_proc,s(index(pendack,host(X40))))
| elec_2 != index(status,host(X40))
| index(pendack,host(X40)) != host(X38)
| s(index(pendack,host(X40))) != host(X39) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1] :
( ? [X42] :
( ? [X43,X44,X45] :
( ( setIn(X42,alive)
| X0 = X42 )
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42))
& ( setIn(X45,alive)
| X0 = X45 )
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X0)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X0)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44)
& host(X0) != host(X45)
& s(host(X0)) = host(X45) )
& host(X0) != host(X42) )
& ~ leq(nbr_proc,host(X0))
& host(X0) = s(zero)
& ! [X41] :
( leq(X41,X0)
| host(X1) != host(X41) )
& ~ setIn(X0,pids)
& host(X1) = host(X0)
& queue(host(X1)) = q_nil
& ! [X2] :
( ~ setIn(X2,alive)
| host(X1) != host(X2) )
& ! [X3,X4] :
( ~ leq(host(X3),host(X4))
| ~ elem(m_Ldr(X4),queue(host(X3))) )
& ! [X5,X6] :
( host(X5) != host(X6)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Halt(X8),queue(host(X7))) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| X12 = X13
| host(X12) != host(X13) )
& ! [X14,X15] :
( leq(host(X14),index(pendack,host(X15)))
| ~ setIn(X15,alive)
| ~ elem(m_Ack(X15,X14),queue(host(X15))) )
& ! [X16,X17] :
( ~ elem(m_Ack(X17,X16),queue(host(X17)))
| ~ setIn(X17,alive)
| elec_1 != index(status,host(X17)) )
& ! [X18] :
( index(elid,host(X18)) = X18
| ( elec_1 != index(status,host(X18))
& elec_2 != index(status,host(X18)) )
| ~ setIn(X18,alive) )
& ! [X19,X20,X21] :
( ~ setIn(X19,alive)
| host(X19) != index(ldr,host(X19))
| norm != index(status,host(X19))
| ~ setIn(X21,alive)
| ~ elem(m_Down(X20),queue(host(X21)))
| host(X19) != host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ~ setIn(X22,alive)
| ~ setIn(X24,alive)
| host(X23) != host(X24)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26] :
( leq(index(pendack,host(X26)),host(X25))
| leq(host(X25),host(X26))
| ~ setIn(X25,alive)
| ~ setIn(X26,alive)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X26)) )
& ! [X27,X28] :
( ~ leq(index(pendack,host(X27)),index(pendack,host(X28)))
| leq(host(X27),host(X28))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( ~ setIn(X29,alive)
| host(X29) != index(ldr,host(X29))
| norm != index(status,host(X29))
| leq(index(pendack,host(X31)),host(X29))
| ~ setIn(X31,alive)
| ~ elem(m_Halt(X31),queue(host(X30)))
| elec_2 != index(status,host(X31)) )
& ! [X32,X33,X34,X35] :
( ~ setIn(X32,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ? [X36] :
( ~ setIn(X36,index(down,host(X35)))
& host(X34) != X36
& ~ leq(host(X35),X36)
& leq(s(zero),X36) )
| ~ elem(m_Down(X34),queue(host(X35)))
| host(X35) != host(X33)
| nbr_proc != host(X35)
| elec_1 != index(status,host(X35)) )
& ! [X37,X38,X39,X40] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X40,alive)
| ~ elem(m_Down(X39),queue(host(X40)))
| ~ elem(m_Ack(X40,X38),queue(host(X40)))
| ~ leq(nbr_proc,s(index(pendack,host(X40))))
| elec_2 != index(status,host(X40))
| index(pendack,host(X40)) != host(X38)
| s(index(pendack,host(X40))) != host(X39) ) ),
inference(flattening,[],[f85]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f94]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f107]) ).
fof(f112,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3,X4,X5] :
( ( setIn(X2,alive)
| X0 = X2 )
& host(X2) = index(ldr,host(X2))
& norm = index(status,host(X2))
& ( setIn(X5,alive)
| X0 = X5 )
& leq(nbr_proc,s(index(pendack,host(X5))))
& elem(m_Down(X4),snoc(queue(host(X5)),m_Halt(X0)))
& elem(m_Ack(X5,X3),snoc(queue(host(X5)),m_Halt(X0)))
& elec_2 = index(status,host(X5))
& host(X3) = index(pendack,host(X5))
& host(X4) = s(index(pendack,host(X5)))
& host(X0) != host(X5)
& s(host(X0)) = host(X5) )
& host(X0) != host(X2) )
& ~ leq(nbr_proc,host(X0))
& host(X0) = s(zero)
& ! [X6] :
( leq(X6,X0)
| host(X1) != host(X6) )
& ~ setIn(X0,pids)
& host(X1) = host(X0)
& queue(host(X1)) = q_nil
& ! [X7] :
( ~ setIn(X7,alive)
| host(X1) != host(X7) )
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Ldr(X9),queue(host(X8))) )
& ! [X10,X11] :
( host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X10))) )
& ! [X12,X13] :
( ~ leq(host(X12),host(X13))
| ~ elem(m_Halt(X13),queue(host(X12))) )
& ! [X14,X15,X16] :
( ~ leq(host(X14),host(X16))
| ~ elem(m_Ack(X16,X14),queue(host(X15))) )
& ! [X17,X18] :
( ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18
| host(X17) != host(X18) )
& ! [X19,X20] :
( leq(host(X19),index(pendack,host(X20)))
| ~ setIn(X20,alive)
| ~ elem(m_Ack(X20,X19),queue(host(X20))) )
& ! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive)
| elec_1 != index(status,host(X22)) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ( elec_1 != index(status,host(X23))
& elec_2 != index(status,host(X23)) )
| ~ setIn(X23,alive) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X26,alive)
| ~ elem(m_Down(X25),queue(host(X26)))
| host(X24) != host(X25) )
& ! [X27,X28,X29] :
( ~ elem(m_Ack(X27,X28),queue(host(X27)))
| ~ setIn(X27,alive)
| ~ setIn(X29,alive)
| host(X28) != host(X29)
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| leq(host(X30),host(X31))
| ~ setIn(X30,alive)
| ~ setIn(X31,alive)
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X31)) )
& ! [X32,X33] :
( ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) )
& ! [X37,X38,X39,X40] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X38),queue(host(X37)))
| ? [X41] :
( ~ setIn(X41,index(down,host(X40)))
& host(X39) != X41
& ~ leq(host(X40),X41)
& leq(s(zero),X41) )
| ~ elem(m_Down(X39),queue(host(X40)))
| host(X40) != host(X38)
| nbr_proc != host(X40)
| elec_1 != index(status,host(X40)) )
& ! [X42,X43,X44,X45] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| norm != index(status,host(X42))
| ~ setIn(X45,alive)
| ~ elem(m_Down(X44),queue(host(X45)))
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| elec_2 != index(status,host(X45))
| index(pendack,host(X45)) != host(X43)
| s(index(pendack,host(X45))) != host(X44) ) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( ( setIn(sK5,alive)
| sK3 = sK5 )
& host(sK5) = index(ldr,host(sK5))
& norm = index(status,host(sK5))
& ( setIn(sK8,alive)
| sK3 = sK8 )
& leq(nbr_proc,s(index(pendack,host(sK8))))
& elem(m_Down(sK7),snoc(queue(host(sK8)),m_Halt(sK3)))
& elem(m_Ack(sK8,sK6),snoc(queue(host(sK8)),m_Halt(sK3)))
& elec_2 = index(status,host(sK8))
& index(pendack,host(sK8)) = host(sK6)
& s(index(pendack,host(sK8))) = host(sK7)
& host(sK8) != host(sK3)
& host(sK8) = s(host(sK3))
& host(sK5) != host(sK3)
& ~ leq(nbr_proc,host(sK3))
& s(zero) = host(sK3)
& ! [X6] :
( leq(X6,sK3)
| host(X6) != host(sK4) )
& ~ setIn(sK3,pids)
& host(sK3) = host(sK4)
& q_nil = queue(host(sK4))
& ! [X7] :
( ~ setIn(X7,alive)
| host(X7) != host(sK4) )
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Ldr(X9),queue(host(X8))) )
& ! [X10,X11] :
( host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X10))) )
& ! [X12,X13] :
( ~ leq(host(X12),host(X13))
| ~ elem(m_Halt(X13),queue(host(X12))) )
& ! [X14,X15,X16] :
( ~ leq(host(X14),host(X16))
| ~ elem(m_Ack(X16,X14),queue(host(X15))) )
& ! [X17,X18] :
( ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18
| host(X17) != host(X18) )
& ! [X19,X20] :
( leq(host(X19),index(pendack,host(X20)))
| ~ setIn(X20,alive)
| ~ elem(m_Ack(X20,X19),queue(host(X20))) )
& ! [X21,X22] :
( ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive)
| elec_1 != index(status,host(X22)) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ( elec_1 != index(status,host(X23))
& elec_2 != index(status,host(X23)) )
| ~ setIn(X23,alive) )
& ! [X24,X25,X26] :
( ~ setIn(X24,alive)
| host(X24) != index(ldr,host(X24))
| norm != index(status,host(X24))
| ~ setIn(X26,alive)
| ~ elem(m_Down(X25),queue(host(X26)))
| host(X24) != host(X25) )
& ! [X27,X28,X29] :
( ~ elem(m_Ack(X27,X28),queue(host(X27)))
| ~ setIn(X27,alive)
| ~ setIn(X29,alive)
| host(X28) != host(X29)
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31] :
( leq(index(pendack,host(X31)),host(X30))
| leq(host(X30),host(X31))
| ~ setIn(X30,alive)
| ~ setIn(X31,alive)
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X31)) )
& ! [X32,X33] :
( ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) )
& ! [X37,X38,X39,X40] :
( ~ setIn(X37,alive)
| ~ elem(m_Down(X38),queue(host(X37)))
| ( ~ setIn(sK9(X39,X40),index(down,host(X40)))
& host(X39) != sK9(X39,X40)
& ~ leq(host(X40),sK9(X39,X40))
& leq(s(zero),sK9(X39,X40)) )
| ~ elem(m_Down(X39),queue(host(X40)))
| host(X40) != host(X38)
| nbr_proc != host(X40)
| elec_1 != index(status,host(X40)) )
& ! [X42,X43,X44,X45] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| norm != index(status,host(X42))
| ~ setIn(X45,alive)
| ~ elem(m_Down(X44),queue(host(X45)))
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| elec_2 != index(status,host(X45))
| index(pendack,host(X45)) != host(X43)
| s(index(pendack,host(X45))) != host(X44) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X41,sK9(X39,X40))],[f112]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f12]) ).
fof(f132,plain,
! [X0,X1] : m_Halt(X1) != m_Down(X0),
inference(cnf_transformation,[],[f18]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f95]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f210,plain,
! [X44,X45,X42,X43] :
( ~ setIn(X42,alive)
| host(X42) != index(ldr,host(X42))
| norm != index(status,host(X42))
| ~ setIn(X45,alive)
| ~ elem(m_Down(X44),queue(host(X45)))
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| elec_2 != index(status,host(X45))
| index(pendack,host(X45)) != host(X43)
| s(index(pendack,host(X45))) != host(X44) ),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
host(sK5) != host(sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
host(sK8) != host(sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
s(index(pendack,host(sK8))) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
index(pendack,host(sK8)) = host(sK6),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
elec_2 = index(status,host(sK8)),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
elem(m_Ack(sK8,sK6),snoc(queue(host(sK8)),m_Halt(sK3))),
inference(cnf_transformation,[],[f113]) ).
fof(f243,plain,
elem(m_Down(sK7),snoc(queue(host(sK8)),m_Halt(sK3))),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
leq(nbr_proc,s(index(pendack,host(sK8)))),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
( setIn(sK8,alive)
| sK3 = sK8 ),
inference(cnf_transformation,[],[f113]) ).
fof(f246,plain,
norm = index(status,host(sK5)),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
host(sK5) = index(ldr,host(sK5)),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
( setIn(sK5,alive)
| sK3 = sK5 ),
inference(cnf_transformation,[],[f113]) ).
fof(f263,definition,
( spl10_1
<=> ! [X45,X44,X43] :
( ~ setIn(X45,alive)
| s(index(pendack,host(X45))) != host(X44)
| index(pendack,host(X45)) != host(X43)
| elec_2 != index(status,host(X45))
| ~ leq(nbr_proc,s(index(pendack,host(X45))))
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ elem(m_Down(X44),queue(host(X45))) ) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f264,plain,
( ! [X44,X45,X43] :
( ~ leq(nbr_proc,s(index(pendack,host(X45))))
| s(index(pendack,host(X45))) != host(X44)
| index(pendack,host(X45)) != host(X43)
| elec_2 != index(status,host(X45))
| ~ setIn(X45,alive)
| ~ elem(m_Ack(X45,X43),queue(host(X45)))
| ~ elem(m_Down(X44),queue(host(X45))) )
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,definition,
( spl10_2
<=> ! [X42] :
( ~ setIn(X42,alive)
| norm != index(status,host(X42))
| host(X42) != index(ldr,host(X42)) ) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f267,plain,
( ! [X42] :
( host(X42) != index(ldr,host(X42))
| norm != index(status,host(X42))
| ~ setIn(X42,alive) )
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f210,f266,f263]) ).
fof(f270,definition,
( spl10_3
<=> sK3 = sK8 ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f272,plain,
( sK3 = sK8
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl10_4
<=> setIn(sK8,alive) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f276,plain,
( setIn(sK8,alive)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f245,f274,f270]) ).
fof(f279,definition,
( spl10_5
<=> sK3 = sK5 ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f281,plain,
( sK3 = sK5
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f283,definition,
( spl10_6
<=> setIn(sK5,alive) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f285,plain,
( setIn(sK5,alive)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,plain,
( spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f248,f283,f279]) ).
fof(f288,plain,
( host(sK3) != host(sK3)
| ~ spl10_5 ),
inference(forward_demodulation,[],[f236,f281]) ).
fof(f289,plain,
( $false
| ~ spl10_5 ),
inference(trivial_inequality_removal,[],[f288]) ).
fof(f290,plain,
~ spl10_5,
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f291,plain,
( host(sK3) != host(sK3)
| ~ spl10_3 ),
inference(forward_demodulation,[],[f238,f272]) ).
fof(f292,plain,
( $false
| ~ spl10_3 ),
inference(trivial_inequality_removal,[],[f291]) ).
fof(f293,plain,
~ spl10_3,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f294,plain,
leq(nbr_proc,s(host(sK6))),
inference(forward_demodulation,[],[f244,f240]) ).
fof(f297,plain,
host(sK7) = s(host(sK6)),
inference(forward_demodulation,[],[f239,f240]) ).
fof(f298,plain,
leq(nbr_proc,host(sK7)),
inference(superposition,[],[f294,f297]) ).
fof(f351,plain,
( host(sK5) != host(sK5)
| norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| ~ spl10_2 ),
inference(superposition,[],[f267,f247]) ).
fof(f352,plain,
( norm != index(status,host(sK5))
| ~ setIn(sK5,alive)
| ~ spl10_2 ),
inference(trivial_inequality_removal,[],[f351]) ).
fof(f353,plain,
( ~ setIn(sK5,alive)
| ~ spl10_2 ),
inference(forward_subsumption_resolution,[],[f352,f246]) ).
fof(f354,plain,
( $false
| ~ spl10_2
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f353,f285]) ).
fof(f355,plain,
( ~ spl10_2
| ~ spl10_6 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f432,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,s(host(sK6)))
| host(X0) != s(host(sK6))
| host(X1) != host(sK6)
| elec_2 != index(status,host(sK8))
| ~ setIn(sK8,alive)
| ~ elem(m_Ack(sK8,X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8))) )
| ~ spl10_1 ),
inference(superposition,[],[f264,f240]) ).
fof(f433,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK6))
| host(X1) != host(sK6)
| elec_2 != index(status,host(sK8))
| ~ setIn(sK8,alive)
| ~ elem(m_Ack(sK8,X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8))) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f432,f294]) ).
fof(f434,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK6))
| host(X1) != host(sK6)
| ~ setIn(sK8,alive)
| ~ elem(m_Ack(sK8,X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8))) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f433,f241]) ).
fof(f435,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK6))
| host(X1) != host(sK6)
| ~ elem(m_Ack(sK8,X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8))) )
| ~ spl10_1
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f434,f276]) ).
fof(f436,plain,
( ! [X0,X1] :
( host(X0) != host(sK7)
| host(X1) != host(sK6)
| ~ elem(m_Ack(sK8,X1),queue(host(sK8)))
| ~ elem(m_Down(X0),queue(host(sK8))) )
| ~ spl10_1
| ~ spl10_4 ),
inference(forward_demodulation,[],[f435,f297]) ).
fof(f438,definition,
( spl10_20
<=> ! [X1] :
( host(X1) != host(sK6)
| ~ elem(m_Ack(sK8,X1),queue(host(sK8))) ) ),
introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition]) ).
fof(f439,plain,
( ! [X1] :
( ~ elem(m_Ack(sK8,X1),queue(host(sK8)))
| host(X1) != host(sK6) )
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f441,definition,
( spl10_21
<=> ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(sK8))) ) ),
introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).
fof(f442,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(sK8))) )
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f443,plain,
( spl10_20
| spl10_21
| ~ spl10_1
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f436,f274,f263,f441,f438]) ).
fof(f649,plain,
( nbr_proc = host(sK7)
| ~ leq(host(sK7),nbr_proc) ),
inference(resolution,[],[f200,f298]) ).
fof(f654,plain,
nbr_proc = host(sK7),
inference(forward_subsumption_resolution,[],[f649,f119]) ).
fof(f858,plain,
( elem(m_Down(sK7),queue(host(sK8)))
| m_Down(sK7) = m_Halt(sK3) ),
inference(resolution,[],[f169,f243]) ).
fof(f859,plain,
( elem(m_Ack(sK8,sK6),queue(host(sK8)))
| m_Halt(sK3) = m_Ack(sK8,sK6) ),
inference(resolution,[],[f169,f242]) ).
fof(f863,plain,
elem(m_Ack(sK8,sK6),queue(host(sK8))),
inference(forward_subsumption_resolution,[],[f859,f126]) ).
fof(f864,plain,
elem(m_Down(sK7),queue(host(sK8))),
inference(forward_subsumption_resolution,[],[f858,f132]) ).
fof(f957,plain,
( host(sK6) != host(sK6)
| ~ spl10_20 ),
inference(resolution,[],[f863,f439]) ).
fof(f959,plain,
( $false
| ~ spl10_20 ),
inference(trivial_inequality_removal,[],[f957]) ).
fof(f960,plain,
~ spl10_20,
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f961,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK8)))
| host(X0) != nbr_proc )
| ~ spl10_21 ),
inference(forward_demodulation,[],[f442,f654]) ).
fof(f963,plain,
( nbr_proc != host(sK7)
| ~ spl10_21 ),
inference(resolution,[],[f961,f864]) ).
fof(f964,plain,
( $false
| ~ spl10_21 ),
inference(forward_subsumption_resolution,[],[f963,f654]) ).
fof(f965,plain,
~ spl10_21,
inference(avatar_contradiction_clause,[],[f964]) ).
cnf(s1,plain,
( spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f268]) ).
cnf(s2,plain,
( spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f277]) ).
cnf(s3,plain,
( spl10_5
| spl10_6 ),
inference(sat_conversion,[],[f286]) ).
cnf(s4,plain,
~ spl10_5,
inference(sat_conversion,[],[f290]) ).
cnf(s5,plain,
~ spl10_3,
inference(sat_conversion,[],[f293]) ).
cnf(s9,plain,
( ~ spl10_2
| ~ spl10_6 ),
inference(sat_conversion,[],[f355]) ).
cnf(s13,plain,
( ~ spl10_1
| ~ spl10_4
| spl10_20
| spl10_21 ),
inference(sat_conversion,[],[f443]) ).
cnf(s32,plain,
~ spl10_20,
inference(sat_conversion,[],[f960]) ).
cnf(s33,plain,
~ spl10_21,
inference(sat_conversion,[],[f965]) ).
cnf(s34,plain,
( ~ spl10_1
| ~ spl10_4 ),
inference(rat,[],[s13,s33,s32]) ).
cnf(s35,plain,
spl10_6,
inference(rat,[],[s3,s4]) ).
cnf(s36,plain,
~ spl10_2,
inference(rat,[],[s9,s35]) ).
cnf(s37,plain,
spl10_4,
inference(rat,[],[s2,s5]) ).
cnf(s38,plain,
~ spl10_1,
inference(rat,[],[s34,s37]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s1,s36,s38]) ).
fof(f966,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV461+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n002.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 11:11:52 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.25/0.74 % (290244)Detected formulas, will run a generic FOF schedule.
% 2.25/0.74 % (290254)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1776675031:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.25/0.74 % (290252)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1400164411:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.25/0.74 % (290249)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1760385874:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.25/0.74 % (290253)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1819218828:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.25/0.74 % (290255)dis-21_1_sil=8000:lcm=predicate:random_seed=3853293127:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.25/0.74 % (290251)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4050777423:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.25/0.74 % (290250)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2450660420:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.25/0.74 % (290254)First to succeed.
% 2.25/0.74 % (290254)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-290244"
% 2.25/0.74 % (290253)Also succeeded, but the first one will report.
% 2.25/0.74 % (290252)Also succeeded, but the first one will report.
% 2.25/0.74 % (290255)Instruction limit reached!
% 2.25/0.74 % (290255)------------------------------
% 2.25/0.74 % (290255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.25/0.74 % (290255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.74 % (290255)CaDiCaL version: 2.1.3
% 2.25/0.74 % (290255)Termination reason: Instruction limit
% 2.25/0.74 % (290255)Termination phase: Saturation
% 2.25/0.74 % (290255)Time elapsed: 0.080 s
% 2.25/0.74 % (290255)Peak memory usage: 89 MB
% 2.25/0.74 % (290255)Instructions burned: 130 (million)
% 2.25/0.74 % (290254)Refutation found. Thanks to Tanya!
% 2.25/0.74 % SZS status Theorem for theBenchmark
% 2.25/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/0.94 % (290254)------------------------------
% 2.79/0.94 % (290254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/0.94 % (290254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.94 % (290254)CaDiCaL version: 2.1.3
% 2.79/0.94 % (290254)Termination reason: Refutation
% 2.79/0.94 % (290254)Time elapsed: 0.017 s
% 2.79/0.94 % (290254)Peak memory usage: 90 MB
% 2.79/0.94 % (290254)Instructions burned: 45 (million)
% 2.79/0.94 % (290254)------------------------------
% 2.79/0.94 % (290254)------------------------------
% 2.79/0.94 % (290244)Success in time 0.339 s
% 2.79/0.94 % Vampire exiting
%------------------------------------------------------------------------------