%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV466+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 01:24:21 PM UTC 2026
% Result : Theorem 0.19s 0.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 144 ( 52 unt; 7 def)
% Number of atoms : 966 ( 361 equ)
% Maximal formula atoms : 92 ( 6 avg)
% Number of connectives : 1306 ( 484 ~; 382 |; 351 &)
% ( 11 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 20 con; 0-2 aty)
% Number of variables : 401 ( 2 sgn 374 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f15,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_14) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(f61,axiom,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5))) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = nbr_proc
& host(X5) = host(X7)
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Ack(X5,X7),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X7) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( setIn(X11,alive)
& leq(nbr_proc,s(index(pendack,host(X11))))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Ldr(X2)))
& index(status,host(X11)) = elec_2
& host(X9) = index(pendack,host(X11))
& host(X10) = s(index(pendack,host(X11))) )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5))) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = nbr_proc
& host(X5) = host(X7)
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Ack(X5,X7),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X7) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( setIn(X11,alive)
& leq(nbr_proc,s(index(pendack,host(X11))))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Ldr(X2)))
& index(status,host(X11)) = elec_2
& host(X9) = index(pendack,host(X11))
& host(X10) = s(index(pendack,host(X11))) )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X8,X9] :
( elem(m_Halt(X9),queue(host(X8)))
=> ~ leq(host(X8),host(X9)) )
& ! [X10,X11,X12] :
( elem(m_Ack(X12,X10),queue(host(X11)))
=> ~ leq(host(X10),host(X12)) )
& ! [X13,X14] :
( ( X13 != X14
& host(X13) = host(X14) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X14,alive) ) )
& ! [X15,X16] :
( ( setIn(X16,alive)
& elem(m_Ack(X16,X15),queue(host(X16))) )
=> leq(host(X15),index(pendack,host(X16))) )
& ! [X17,X18] :
( ( setIn(X18,alive)
& elec_1 = index(status,host(X18)) )
=> ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X19] :
( ( ( elec_1 = index(status,host(X19))
| elec_2 = index(status,host(X19)) )
& setIn(X19,alive) )
=> index(elid,host(X19)) = X19 )
& ! [X20,X21,X22] :
( ( setIn(X22,alive)
& elem(m_Down(X21),queue(host(X22)))
& host(X20) = host(X21) )
=> ~ ( setIn(X20,alive)
& host(X20) = index(ldr,host(X20))
& norm = index(status,host(X20)) ) )
& ! [X23,X24] :
( ( ~ leq(host(X23),host(X24))
& setIn(X23,alive)
& setIn(X24,alive)
& elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X24)) )
=> leq(index(pendack,host(X24)),host(X23)) )
& ! [X25,X26,X27] :
( ( setIn(X25,alive)
& setIn(X27,alive)
& host(X27) = host(X26)
& elec_2 = index(status,host(X25))
& elec_2 = index(status,host(X27)) )
=> ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [X28,X29] :
( ( ~ leq(host(X28),host(X29))
& setIn(X28,alive)
& setIn(X29,alive)
& elec_2 = index(status,host(X28))
& elec_2 = index(status,host(X29)) )
=> ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X30,X31,X32] :
( ( ~ leq(index(pendack,host(X32)),host(X30))
& setIn(X32,alive)
& elem(m_Halt(X32),queue(host(X31)))
& elec_2 = index(status,host(X32)) )
=> ~ ( setIn(X30,alive)
& host(X30) = index(ldr,host(X30))
& norm = index(status,host(X30)) ) )
& ! [X33,X34,X35,X36] :
( ( ! [X37] :
( ( ~ leq(host(X36),X37)
& leq(s(zero),X37) )
=> ( setIn(X37,index(down,host(X36)))
| host(X35) = X37 ) )
& elem(m_Down(X35),queue(host(X36)))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elec_1 = index(status,host(X36)) )
=> ~ ( setIn(X33,alive)
& elem(m_Down(X34),queue(host(X33))) ) )
& ! [X38,X39,X40,X41] :
( ( setIn(X41,alive)
& elem(m_Down(X40),queue(host(X41)))
& elem(m_Ack(X41,X39),queue(host(X41)))
& leq(nbr_proc,s(index(pendack,host(X41))))
& elec_2 = index(status,host(X41))
& index(pendack,host(X41)) = host(X39)
& s(index(pendack,host(X41))) = host(X40) )
=> ~ ( setIn(X38,alive)
& host(X38) = index(ldr,host(X38))
& norm = index(status,host(X38)) ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X42] :
( setIn(host(X42),index(acks,host(X2)))
=> ! [X43] :
( host(X2) = host(X43)
=> ! [X44,X45,X46] :
( host(X42) = host(X46)
=> ( host(X2) != host(X46)
=> ( ( setIn(X46,alive)
& leq(nbr_proc,s(index(pendack,host(X46))))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elec_2 = index(status,host(X46))
& index(pendack,host(X46)) = host(X44)
& s(index(pendack,host(X46))) = host(X45) )
=> ~ ( setIn(X43,alive)
& host(X2) = host(X43) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( setIn(X43,alive)
& host(X2) = host(X43)
& setIn(X46,alive)
& leq(nbr_proc,s(index(pendack,host(X46))))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elec_2 = index(status,host(X46))
& index(pendack,host(X46)) = host(X44)
& s(index(pendack,host(X46))) = host(X45)
& host(X2) != host(X46)
& host(X42) = host(X46) )
& host(X2) = host(X43) )
& setIn(host(X42),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Halt(X9),queue(host(X8))) )
& ! [X10,X11,X12] :
( ~ leq(host(X10),host(X12))
| ~ elem(m_Ack(X12,X10),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X13) != host(X14) )
& ! [X15,X16] :
( leq(host(X15),index(pendack,host(X16)))
| ~ setIn(X16,alive)
| ~ elem(m_Ack(X16,X15),queue(host(X16))) )
& ! [X17,X18] :
( ~ elem(m_Ack(X18,X17),queue(host(X18)))
| ~ setIn(X18,alive)
| elec_1 != index(status,host(X18)) )
& ! [X19] :
( index(elid,host(X19)) = X19
| ( elec_1 != index(status,host(X19))
& elec_2 != index(status,host(X19)) )
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| leq(host(X23),host(X24))
| ~ setIn(X23,alive)
| ~ setIn(X24,alive)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26,X27] :
( ~ elem(m_Ack(X25,X26),queue(host(X25)))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X26)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29] :
( ~ leq(index(pendack,host(X28)),index(pendack,host(X29)))
| leq(host(X28),host(X29))
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31,X32] :
( ~ setIn(X30,alive)
| host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| leq(index(pendack,host(X32)),host(X30))
| ~ setIn(X32,alive)
| ~ elem(m_Halt(X32),queue(host(X31)))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35,X36] :
( ~ setIn(X33,alive)
| ~ elem(m_Down(X34),queue(host(X33)))
| ? [X37] :
( ~ setIn(X37,index(down,host(X36)))
& host(X35) != X37
& ~ leq(host(X36),X37)
& leq(s(zero),X37) )
| ~ elem(m_Down(X35),queue(host(X36)))
| nbr_proc != host(X36)
| host(X36) != host(X34)
| elec_1 != index(status,host(X36)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| elec_2 != index(status,host(X41))
| index(pendack,host(X41)) != host(X39)
| s(index(pendack,host(X41))) != host(X40) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( setIn(X43,alive)
& host(X2) = host(X43)
& setIn(X46,alive)
& leq(nbr_proc,s(index(pendack,host(X46))))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elec_2 = index(status,host(X46))
& index(pendack,host(X46)) = host(X44)
& s(index(pendack,host(X46))) = host(X45)
& host(X2) != host(X46)
& host(X42) = host(X46) )
& host(X2) = host(X43) )
& setIn(host(X42),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Halt(X9),queue(host(X8))) )
& ! [X10,X11,X12] :
( ~ leq(host(X10),host(X12))
| ~ elem(m_Ack(X12,X10),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X13) != host(X14) )
& ! [X15,X16] :
( leq(host(X15),index(pendack,host(X16)))
| ~ setIn(X16,alive)
| ~ elem(m_Ack(X16,X15),queue(host(X16))) )
& ! [X17,X18] :
( ~ elem(m_Ack(X18,X17),queue(host(X18)))
| ~ setIn(X18,alive)
| elec_1 != index(status,host(X18)) )
& ! [X19] :
( index(elid,host(X19)) = X19
| ( elec_1 != index(status,host(X19))
& elec_2 != index(status,host(X19)) )
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| leq(host(X23),host(X24))
| ~ setIn(X23,alive)
| ~ setIn(X24,alive)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26,X27] :
( ~ elem(m_Ack(X25,X26),queue(host(X25)))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X26)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29] :
( ~ leq(index(pendack,host(X28)),index(pendack,host(X29)))
| leq(host(X28),host(X29))
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31,X32] :
( ~ setIn(X30,alive)
| host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| leq(index(pendack,host(X32)),host(X30))
| ~ setIn(X32,alive)
| ~ elem(m_Halt(X32),queue(host(X31)))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35,X36] :
( ~ setIn(X33,alive)
| ~ elem(m_Down(X34),queue(host(X33)))
| ? [X37] :
( ~ setIn(X37,index(down,host(X36)))
& host(X35) != X37
& ~ leq(host(X36),X37)
& leq(s(zero),X37) )
| ~ elem(m_Down(X35),queue(host(X36)))
| nbr_proc != host(X36)
| host(X36) != host(X34)
| elec_1 != index(status,host(X36)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| elec_2 != index(status,host(X41))
| index(pendack,host(X41)) != host(X39)
| s(index(pendack,host(X41))) != host(X40) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f92]) ).
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(f110,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( setIn(X4,alive)
& host(X1) = host(X4)
& setIn(X7,alive)
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Down(X6),snoc(queue(host(X7)),m_Ldr(X1)))
& elem(m_Ack(X7,X5),snoc(queue(host(X7)),m_Ldr(X1)))
& elec_2 = index(status,host(X7))
& host(X5) = index(pendack,host(X7))
& host(X6) = s(index(pendack,host(X7)))
& host(X1) != host(X7)
& host(X7) = host(X3) )
& host(X1) = host(X4) )
& setIn(host(X3),index(acks,host(X1))) )
& leq(nbr_proc,index(pendack,host(X1)))
& elec_2 = index(status,host(X1))
& host(X2) = index(pendack,host(X1))
& leq(host(X1),host(X2))
& setIn(X1,alive)
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Ldr(X9),queue(host(X8))) )
& ! [X10,X11] :
( host(X11) != host(X10)
| ~ 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(X18) != host(X17) )
& ! [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] :
( leq(index(pendack,host(X28)),host(X27))
| 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] :
( ~ elem(m_Ack(X29,X30),queue(host(X29)))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| host(X30) != host(X31)
| elec_2 != index(status,host(X29))
| 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)))
| nbr_proc != host(X40)
| host(X40) != host(X38)
| 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))
| host(X43) != index(pendack,host(X45))
| host(X44) != s(index(pendack,host(X45))) )
& queue(host(X1)) = cons(m_Down(X2),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK7,alive)
& host(sK4) = host(sK7)
& setIn(sK10,alive)
& leq(nbr_proc,s(index(pendack,host(sK10))))
& elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elec_2 = index(status,host(sK10))
& index(pendack,host(sK10)) = host(sK8)
& s(index(pendack,host(sK10))) = host(sK9)
& host(sK4) != host(sK10)
& host(sK10) = host(sK6)
& host(sK4) = host(sK7)
& setIn(host(sK6),index(acks,host(sK4)))
& leq(nbr_proc,index(pendack,host(sK4)))
& elec_2 = index(status,host(sK4))
& index(pendack,host(sK4)) = host(sK5)
& leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Ldr(X9),queue(host(X8))) )
& ! [X10,X11] :
( host(X11) != host(X10)
| ~ 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(X18) != host(X17) )
& ! [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] :
( leq(index(pendack,host(X28)),host(X27))
| 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] :
( ~ elem(m_Ack(X29,X30),queue(host(X29)))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| host(X30) != host(X31)
| elec_2 != index(status,host(X29))
| 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(sK11(X39,X40),index(down,host(X40)))
& host(X39) != sK11(X39,X40)
& ~ leq(host(X40),sK11(X39,X40))
& leq(s(zero),sK11(X39,X40)) )
| ~ elem(m_Down(X39),queue(host(X40)))
| nbr_proc != host(X40)
| host(X40) != host(X38)
| 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))
| host(X43) != index(pendack,host(X45))
| host(X44) != s(index(pendack,host(X45))) )
& queue(host(sK4)) = cons(m_Down(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10),skolemize(X41,sK11(X39,X40))],[f112]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f129,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f15]) ).
fof(f168,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f95]) ).
fof(f197,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f199,plain,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f206,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,X1)
| s(X1) = X0 ),
inference(cnf_transformation,[],[f111]) ).
fof(f210,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f217,plain,
! [X32,X33] :
( elec_2 != index(status,host(X33))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| ~ leq(index(pendack,host(X32)),index(pendack,host(X33))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f218,plain,
! [X31,X29,X30] :
( elec_2 != index(status,host(X31))
| ~ setIn(X29,alive)
| ~ setIn(X31,alive)
| host(X30) != host(X31)
| elec_2 != index(status,host(X29))
| ~ elem(m_Ack(X29,X30),queue(host(X29))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f219,plain,
! [X28,X27] :
( elec_2 != index(status,host(X28))
| leq(host(X27),host(X28))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| elec_2 != index(status,host(X27))
| leq(index(pendack,host(X28)),host(X27)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f228,plain,
! [X10,X11] :
( host(X11) != host(X10)
| ~ elem(m_Down(X11),queue(host(X10))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f230,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
index(pendack,host(sK4)) = host(sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f233,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
host(sK4) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
host(sK10) = host(sK6),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
s(index(pendack,host(sK10))) = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
index(pendack,host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
elec_2 = index(status,host(sK10)),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
leq(nbr_proc,s(index(pendack,host(sK10)))),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f254,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
fof(f268,plain,
host(sK4) != host(sK6),
inference(forward_demodulation,[],[f238,f237]) ).
fof(f269,plain,
elec_2 = index(status,host(sK6)),
inference(forward_demodulation,[],[f241,f237]) ).
fof(f270,plain,
leq(nbr_proc,host(sK5)),
inference(superposition,[],[f234,f232]) ).
fof(f271,plain,
host(sK8) = index(pendack,host(sK6)),
inference(forward_demodulation,[],[f240,f237]) ).
fof(f272,plain,
leq(nbr_proc,s(index(pendack,host(sK6)))),
inference(forward_demodulation,[],[f244,f237]) ).
fof(f273,plain,
leq(nbr_proc,s(host(sK8))),
inference(forward_demodulation,[],[f272,f271]) ).
fof(f274,plain,
host(sK9) = s(index(pendack,host(sK6))),
inference(forward_demodulation,[],[f239,f237]) ).
fof(f275,plain,
host(sK9) = s(host(sK8)),
inference(forward_demodulation,[],[f274,f271]) ).
fof(f276,plain,
leq(nbr_proc,host(sK9)),
inference(superposition,[],[f273,f275]) ).
fof(f278,plain,
elem(m_Ack(sK10,sK8),snoc(queue(host(sK6)),m_Ldr(sK4))),
inference(forward_demodulation,[],[f242,f237]) ).
fof(f285,plain,
! [X0] : ~ elem(m_Down(X0),queue(host(X0))),
inference(equality_resolution,[],[f228]) ).
fof(f389,plain,
! [X0,X1] :
( elec_2 != elec_2
| ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| host(X1) != host(sK4)
| elec_2 != index(status,host(X0))
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(superposition,[],[f218,f233]) ).
fof(f392,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| host(X1) != host(sK4)
| elec_2 != index(status,host(X0))
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(trivial_inequality_removal,[],[f389]) ).
fof(f393,plain,
! [X0,X1] :
( elec_2 != index(status,host(X0))
| host(X1) != host(sK4)
| ~ setIn(X0,alive)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(forward_subsumption_resolution,[],[f392,f230]) ).
fof(f399,plain,
! [X0] :
( elec_2 != index(status,host(sK6))
| leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive)
| elec_2 != index(status,host(X0))
| leq(index(pendack,host(sK6)),host(X0)) ),
inference(superposition,[],[f219,f237]) ).
fof(f405,plain,
! [X0] :
( leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| ~ setIn(sK10,alive)
| elec_2 != index(status,host(X0))
| leq(index(pendack,host(sK6)),host(X0)) ),
inference(forward_subsumption_resolution,[],[f399,f269]) ).
fof(f408,plain,
! [X0] :
( leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| leq(index(pendack,host(sK6)),host(X0)) ),
inference(forward_subsumption_resolution,[],[f405,f245]) ).
fof(f410,plain,
! [X0] :
( elec_2 != index(status,host(X0))
| leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| leq(host(sK8),host(X0)) ),
inference(forward_demodulation,[],[f408,f271]) ).
fof(f442,definition,
( spl12_13
<=> leq(host(sK6),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition]) ).
fof(f444,plain,
( leq(host(sK6),host(sK4))
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f448,plain,
! [X0] :
( elec_2 != elec_2
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| elec_2 != index(status,host(X0))
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK4))) ),
inference(superposition,[],[f217,f233]) ).
fof(f451,plain,
! [X0] :
( leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| ~ setIn(sK4,alive)
| elec_2 != index(status,host(X0))
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK4))) ),
inference(trivial_inequality_removal,[],[f448]) ).
fof(f452,plain,
! [X0] :
( leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK4))) ),
inference(forward_subsumption_resolution,[],[f451,f230]) ).
fof(f455,plain,
! [X0] :
( elec_2 != index(status,host(X0))
| leq(host(X0),host(sK4))
| ~ setIn(X0,alive)
| ~ leq(index(pendack,host(X0)),host(sK5)) ),
inference(forward_demodulation,[],[f452,f232]) ).
fof(f460,plain,
( elec_2 != index(status,host(sK4))
| leq(host(sK4),host(sK6))
| ~ setIn(sK7,alive)
| leq(host(sK8),host(sK4)) ),
inference(superposition,[],[f410,f236]) ).
fof(f467,plain,
( leq(host(sK4),host(sK6))
| ~ setIn(sK7,alive)
| leq(host(sK8),host(sK4)) ),
inference(forward_subsumption_resolution,[],[f460,f233]) ).
fof(f469,definition,
( spl12_14
<=> leq(host(sK8),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f471,plain,
( leq(host(sK8),host(sK4))
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,definition,
( spl12_15
<=> leq(host(sK4),host(sK6)) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f477,plain,
( leq(host(sK4),host(sK6))
| leq(host(sK8),host(sK4)) ),
inference(forward_subsumption_resolution,[],[f467,f247]) ).
fof(f478,plain,
( spl12_14
| spl12_15 ),
inference(avatar_split_clause,[],[f477,f473,f469]) ).
fof(f498,plain,
! [X0] :
( elec_2 != index(status,host(sK6))
| host(X0) != host(sK4)
| ~ setIn(sK10,alive)
| ~ elem(m_Ack(sK10,X0),queue(host(sK6))) ),
inference(superposition,[],[f393,f237]) ).
fof(f504,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ setIn(sK10,alive)
| ~ elem(m_Ack(sK10,X0),queue(host(sK6))) ),
inference(forward_subsumption_resolution,[],[f498,f269]) ).
fof(f506,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ elem(m_Ack(sK10,X0),queue(host(sK6))) ),
inference(forward_subsumption_resolution,[],[f504,f245]) ).
fof(f527,plain,
~ leq(host(sK9),host(sK8)),
inference(superposition,[],[f197,f275]) ).
fof(f551,plain,
( elec_2 != index(status,host(sK6))
| leq(host(sK6),host(sK4))
| ~ setIn(sK10,alive)
| ~ leq(index(pendack,host(sK6)),host(sK5)) ),
inference(superposition,[],[f455,f237]) ).
fof(f556,plain,
( leq(host(sK6),host(sK4))
| ~ setIn(sK10,alive)
| ~ leq(index(pendack,host(sK6)),host(sK5)) ),
inference(forward_subsumption_resolution,[],[f551,f269]) ).
fof(f557,plain,
( leq(host(sK6),host(sK4))
| ~ leq(index(pendack,host(sK6)),host(sK5)) ),
inference(forward_subsumption_resolution,[],[f556,f245]) ).
fof(f558,plain,
( ~ leq(host(sK8),host(sK5))
| leq(host(sK6),host(sK4)) ),
inference(forward_demodulation,[],[f557,f271]) ).
fof(f560,definition,
( spl12_16
<=> leq(host(sK8),host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
fof(f562,plain,
( ~ leq(host(sK8),host(sK5))
| spl12_16 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( spl12_13
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f558,f560,f442]) ).
fof(f582,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f254,f210]) ).
fof(f602,plain,
( leq(host(sK5),host(sK8))
| spl12_16 ),
inference(resolution,[],[f199,f562]) ).
fof(f668,plain,
( ~ leq(host(sK4),host(sK6))
| host(sK4) = host(sK6)
| ~ spl12_13 ),
inference(resolution,[],[f200,f444]) ).
fof(f669,plain,
( ~ leq(host(sK4),host(sK8))
| host(sK4) = host(sK8)
| ~ spl12_14 ),
inference(resolution,[],[f200,f471]) ).
fof(f679,plain,
( ~ leq(host(sK5),nbr_proc)
| nbr_proc = host(sK5) ),
inference(resolution,[],[f200,f270]) ).
fof(f680,plain,
( ~ leq(host(sK9),nbr_proc)
| nbr_proc = host(sK9) ),
inference(resolution,[],[f200,f276]) ).
fof(f683,plain,
nbr_proc = host(sK9),
inference(forward_subsumption_resolution,[],[f680,f119]) ).
fof(f684,plain,
nbr_proc = host(sK5),
inference(forward_subsumption_resolution,[],[f679,f119]) ).
fof(f705,definition,
( spl12_24
<=> host(sK4) = host(sK8) ),
introduced(definition,[new_symbols(definition,[spl12_24])],[avatar_definition]) ).
fof(f707,plain,
( host(sK4) = host(sK8)
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f709,definition,
( spl12_25
<=> leq(host(sK4),host(sK8)) ),
introduced(definition,[new_symbols(definition,[spl12_25])],[avatar_definition]) ).
fof(f711,plain,
( ~ leq(host(sK4),host(sK8))
| spl12_25 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,plain,
( spl12_24
| ~ spl12_25
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f669,f469,f709,f705]) ).
fof(f713,plain,
( ~ leq(host(sK4),host(sK6))
| ~ spl12_13 ),
inference(forward_subsumption_resolution,[],[f668,f268]) ).
fof(f734,plain,
( ~ spl12_15
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f713,f442,f473]) ).
fof(f736,plain,
~ leq(nbr_proc,host(sK8)),
inference(superposition,[],[f527,f683]) ).
fof(f795,definition,
( spl12_33
<=> nbr_proc = host(sK4) ),
introduced(definition,[new_symbols(definition,[spl12_33])],[avatar_definition]) ).
fof(f796,plain,
( nbr_proc = host(sK4)
| ~ spl12_33 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f966,plain,
~ elem(m_Down(sK5),queue(nbr_proc)),
inference(superposition,[],[f285,f684]) ).
fof(f1245,plain,
( elem(m_Ack(sK10,sK8),queue(host(sK6)))
| m_Ldr(sK4) = m_Ack(sK10,sK8) ),
inference(resolution,[],[f169,f278]) ).
fof(f1251,plain,
elem(m_Ack(sK10,sK8),queue(host(sK6))),
inference(forward_subsumption_resolution,[],[f1245,f129]) ).
fof(f1270,plain,
! [X0] :
( ~ leq(X0,host(sK9))
| leq(X0,host(sK8))
| host(sK9) = X0 ),
inference(superposition,[],[f206,f275]) ).
fof(f1271,plain,
! [X0] :
( ~ leq(X0,nbr_proc)
| leq(X0,host(sK8))
| host(sK9) = X0 ),
inference(forward_demodulation,[],[f1270,f683]) ).
fof(f1274,plain,
! [X0] :
( leq(X0,host(sK8))
| ~ leq(X0,nbr_proc)
| nbr_proc = X0 ),
inference(forward_demodulation,[],[f1271,f683]) ).
fof(f1441,plain,
( ~ leq(host(sK4),nbr_proc)
| nbr_proc = host(sK4)
| spl12_25 ),
inference(resolution,[],[f1274,f711]) ).
fof(f1448,plain,
( nbr_proc = host(sK4)
| spl12_25 ),
inference(forward_subsumption_resolution,[],[f1441,f119]) ).
fof(f1590,plain,
( host(sK4) != host(sK4)
| ~ elem(m_Ack(sK10,sK8),queue(host(sK6)))
| ~ spl12_24 ),
inference(superposition,[],[f506,f707]) ).
fof(f1597,plain,
( ~ elem(m_Ack(sK10,sK8),queue(host(sK6)))
| ~ spl12_24 ),
inference(trivial_inequality_removal,[],[f1590]) ).
fof(f1600,plain,
( $false
| ~ spl12_24 ),
inference(forward_subsumption_resolution,[],[f1597,f1251]) ).
fof(f1601,plain,
~ spl12_24,
inference(avatar_contradiction_clause,[],[f1600]) ).
fof(f1649,plain,
( spl12_33
| spl12_25 ),
inference(avatar_split_clause,[],[f1448,f709,f795]) ).
fof(f1671,plain,
( elem(m_Down(sK5),queue(nbr_proc))
| ~ spl12_33 ),
inference(superposition,[],[f582,f796]) ).
fof(f1735,plain,
( $false
| ~ spl12_33 ),
inference(forward_subsumption_resolution,[],[f1671,f966]) ).
fof(f1736,plain,
~ spl12_33,
inference(avatar_contradiction_clause,[],[f1735]) ).
fof(f1761,plain,
( leq(nbr_proc,host(sK8))
| spl12_16 ),
inference(forward_demodulation,[],[f602,f684]) ).
fof(f1786,plain,
( $false
| spl12_16 ),
inference(forward_subsumption_resolution,[],[f1761,f736]) ).
fof(f1787,plain,
spl12_16,
inference(avatar_contradiction_clause,[],[f1786]) ).
cnf(s13,plain,
( spl12_14
| spl12_15 ),
inference(sat_conversion,[],[f478]) ).
cnf(s14,plain,
( spl12_13
| ~ spl12_16 ),
inference(sat_conversion,[],[f563]) ).
cnf(s22,plain,
( ~ spl12_14
| spl12_24
| ~ spl12_25 ),
inference(sat_conversion,[],[f712]) ).
cnf(s25,plain,
( ~ spl12_13
| ~ spl12_15 ),
inference(sat_conversion,[],[f734]) ).
cnf(s100,plain,
~ spl12_24,
inference(sat_conversion,[],[f1601]) ).
cnf(s107,plain,
( spl12_25
| spl12_33 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s110,plain,
~ spl12_33,
inference(sat_conversion,[],[f1736]) ).
cnf(s127,plain,
spl12_16,
inference(sat_conversion,[],[f1787]) ).
cnf(s130,plain,
spl12_25,
inference(rat,[],[s107,s110]) ).
cnf(s132,plain,
~ spl12_14,
inference(rat,[],[s22,s130,s100]) ).
cnf(s133,plain,
spl12_13,
inference(rat,[],[s14,s127]) ).
cnf(s134,plain,
~ spl12_15,
inference(rat,[],[s25,s133]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s13,s134,s132]) ).
fof(f1791,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV466+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 11:08:03 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.31 % (2325286)Will run a generic schedule for satisfiability detection.
% 0.19/0.31 % (2325293)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=474337624:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31 % (2325292)% WARNING: option uhcvi not known.
% 0.19/0.31 % (2325291)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2966894289_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.31 % (2325292)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=928398436:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.31 % (2325296)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2943915557:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.31 % (2325294)dis+10_1_sil=32000:sp=arity:random_seed=1412782194:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.31 % (2325295)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=824334131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.31 % (2325297)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3185881905:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.31 % Detected minimum model sizes of [4]
% 0.19/0.31 % Detected maximum model sizes of [max]
% 0.19/0.31 % TRYING [4]
% 0.19/0.31 % (2325294) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2325286-2325294"...
% 0.19/0.31 % (2325294)...printing done.
% 0.19/0.31 % (2325294)Refutation found. Thanks to Tanya!
% 0.19/0.31 % SZS status Theorem for theBenchmark
% 0.19/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31 % (2325294)------------------------------
% 0.19/0.31 % (2325294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (2325294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (2325294)CaDiCaL version: 2.1.3
% 0.19/0.31 % (2325294)Termination reason: Refutation
% 0.19/0.31 % (2325294)Time elapsed: 0.038 s
% 0.19/0.31 % (2325294)Peak memory usage: 13 MB
% 0.19/0.31 % (2325294)Instructions burned: 60 (million)
% 0.19/0.31 % (2325286)Success in time 0.079 s
% 0.19/0.31 % Vampire exiting
%------------------------------------------------------------------------------