%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV463+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 01:24:20 PM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 96 ( 39 unt; 6 def)
% Number of atoms : 889 ( 370 equ)
% Maximal formula atoms : 94 ( 9 avg)
% Number of connectives : 1284 ( 491 ~; 363 |; 348 &)
% ( 7 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 21 con; 0-2 aty)
% Number of variables : 374 ( 0 sgn 344 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_18) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& 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)))
| host(X4) = host(X3) )
=> ! [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)
& index(ldr,host(X8)) = host(X8)
& index(status,host(X8)) = norm ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& 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)))
| host(X4) = host(X3) )
=> ! [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)
& index(ldr,host(X8)) = host(X8)
& index(status,host(X8)) = norm ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& 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)))
| host(X3) = host(X42) )
=> ! [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(X43) = index(ldr,host(X43))
& norm = index(status,host(X43)) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X1,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( setIn(X43,alive)
& host(X43) = index(ldr,host(X43))
& norm = index(status,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)))
| host(X3) = host(X42) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& 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_Ack(X1,X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( setIn(X43,alive)
& host(X43) = index(ldr,host(X43))
& norm = index(status,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)))
| host(X3) = host(X42) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& 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_Ack(X1,X3),X0) ),
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(f112,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( setIn(X5,alive)
& host(X5) = index(ldr,host(X5))
& norm = index(status,host(X5))
& setIn(X8,alive)
& leq(nbr_proc,s(index(pendack,host(X8))))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(X2)))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(X2)))
& elec_2 = index(status,host(X8))
& host(X6) = index(pendack,host(X8))
& host(X7) = s(index(pendack,host(X8)))
& host(X2) != host(X8)
& host(X4) = host(X8) )
& host(X2) != host(X5) )
& ( setIn(host(X4),index(acks,host(X2)))
| host(X4) = host(X3) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& setIn(X2,alive)
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Ldr(X10),queue(host(X9))) )
& ! [X11,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X11))) )
& ! [X13,X14] :
( ~ leq(host(X13),host(X14))
| ~ elem(m_Halt(X14),queue(host(X13))) )
& ! [X15,X16,X17] :
( ~ leq(host(X15),host(X17))
| ~ elem(m_Ack(X17,X15),queue(host(X16))) )
& ! [X18,X19] :
( ~ setIn(X18,alive)
| ~ setIn(X19,alive)
| X18 = X19
| host(X18) != host(X19) )
& ! [X20,X21] :
( leq(host(X20),index(pendack,host(X21)))
| ~ setIn(X21,alive)
| ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X22,X23] :
( ~ elem(m_Ack(X23,X22),queue(host(X23)))
| ~ setIn(X23,alive)
| elec_1 != index(status,host(X23)) )
& ! [X24] :
( index(elid,host(X24)) = X24
| ( elec_1 != index(status,host(X24))
& elec_2 != index(status,host(X24)) )
| ~ setIn(X24,alive) )
& ! [X25,X26,X27] :
( ~ setIn(X25,alive)
| host(X25) != index(ldr,host(X25))
| norm != index(status,host(X25))
| ~ setIn(X27,alive)
| ~ elem(m_Down(X26),queue(host(X27)))
| host(X26) != host(X25) )
& ! [X28,X29] :
( leq(index(pendack,host(X29)),host(X28))
| 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] :
( ~ elem(m_Ack(X30,X31),queue(host(X30)))
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X32) != host(X31)
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34] :
( ~ leq(index(pendack,host(X33)),index(pendack,host(X34)))
| leq(host(X33),host(X34))
| ~ setIn(X33,alive)
| ~ setIn(X34,alive)
| elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X34)) )
& ! [X35,X36,X37] :
( ~ setIn(X35,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| leq(index(pendack,host(X37)),host(X35))
| ~ setIn(X37,alive)
| ~ elem(m_Halt(X37),queue(host(X36)))
| elec_2 != index(status,host(X37)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| ~ elem(m_Down(X39),queue(host(X38)))
| ? [X42] :
( ~ setIn(X42,index(down,host(X41)))
& host(X40) != X42
& ~ leq(host(X41),X42)
& leq(s(zero),X42) )
| ~ elem(m_Down(X40),queue(host(X41)))
| nbr_proc != host(X41)
| host(X41) != host(X39)
| elec_1 != index(status,host(X41)) )
& ! [X43,X44,X45,X46] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| norm != index(status,host(X43))
| ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| elec_2 != index(status,host(X46))
| index(pendack,host(X46)) != host(X44)
| s(index(pendack,host(X46))) != host(X45) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK8,alive)
& host(sK8) = index(ldr,host(sK8))
& norm = index(status,host(sK8))
& setIn(sK11,alive)
& leq(nbr_proc,s(index(pendack,host(sK11))))
& elem(m_Down(sK10),snoc(queue(host(sK11)),m_Ldr(sK5)))
& elem(m_Ack(sK11,sK9),snoc(queue(host(sK11)),m_Ldr(sK5)))
& elec_2 = index(status,host(sK11))
& index(pendack,host(sK11)) = host(sK9)
& s(index(pendack,host(sK11))) = host(sK10)
& host(sK11) != host(sK5)
& host(sK11) = host(sK7)
& host(sK8) != host(sK5)
& ( setIn(host(sK7),index(acks,host(sK5)))
| host(sK7) = host(sK6) )
& leq(nbr_proc,index(pendack,host(sK5)))
& sK4 = index(elid,host(sK5))
& elec_2 = index(status,host(sK5))
& host(sK6) = index(pendack,host(sK5))
& setIn(sK5,alive)
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Ldr(X10),queue(host(X9))) )
& ! [X11,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X11))) )
& ! [X13,X14] :
( ~ leq(host(X13),host(X14))
| ~ elem(m_Halt(X14),queue(host(X13))) )
& ! [X15,X16,X17] :
( ~ leq(host(X15),host(X17))
| ~ elem(m_Ack(X17,X15),queue(host(X16))) )
& ! [X18,X19] :
( ~ setIn(X18,alive)
| ~ setIn(X19,alive)
| X18 = X19
| host(X18) != host(X19) )
& ! [X20,X21] :
( leq(host(X20),index(pendack,host(X21)))
| ~ setIn(X21,alive)
| ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X22,X23] :
( ~ elem(m_Ack(X23,X22),queue(host(X23)))
| ~ setIn(X23,alive)
| elec_1 != index(status,host(X23)) )
& ! [X24] :
( index(elid,host(X24)) = X24
| ( elec_1 != index(status,host(X24))
& elec_2 != index(status,host(X24)) )
| ~ setIn(X24,alive) )
& ! [X25,X26,X27] :
( ~ setIn(X25,alive)
| host(X25) != index(ldr,host(X25))
| norm != index(status,host(X25))
| ~ setIn(X27,alive)
| ~ elem(m_Down(X26),queue(host(X27)))
| host(X26) != host(X25) )
& ! [X28,X29] :
( leq(index(pendack,host(X29)),host(X28))
| 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] :
( ~ elem(m_Ack(X30,X31),queue(host(X30)))
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X32) != host(X31)
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34] :
( ~ leq(index(pendack,host(X33)),index(pendack,host(X34)))
| leq(host(X33),host(X34))
| ~ setIn(X33,alive)
| ~ setIn(X34,alive)
| elec_2 != index(status,host(X33))
| elec_2 != index(status,host(X34)) )
& ! [X35,X36,X37] :
( ~ setIn(X35,alive)
| host(X35) != index(ldr,host(X35))
| norm != index(status,host(X35))
| leq(index(pendack,host(X37)),host(X35))
| ~ setIn(X37,alive)
| ~ elem(m_Halt(X37),queue(host(X36)))
| elec_2 != index(status,host(X37)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| ~ elem(m_Down(X39),queue(host(X38)))
| ( ~ setIn(sK12(X40,X41),index(down,host(X41)))
& host(X40) != sK12(X40,X41)
& ~ leq(host(X41),sK12(X40,X41))
& leq(s(zero),sK12(X40,X41)) )
| ~ elem(m_Down(X40),queue(host(X41)))
| nbr_proc != host(X41)
| host(X41) != host(X39)
| elec_1 != index(status,host(X41)) )
& ! [X43,X44,X45,X46] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| norm != index(status,host(X43))
| ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| elec_2 != index(status,host(X46))
| index(pendack,host(X46)) != host(X44)
| s(index(pendack,host(X46))) != host(X45) )
& queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),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(X8,sK11),skolemize(X42,sK12(X40,X41))],[f112]) ).
fof(f129,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f15]) ).
fof(f133,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f19]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f95]) ).
fof(f211,plain,
! [X46,X44,X45,X43] :
( ~ setIn(X43,alive)
| host(X43) != index(ldr,host(X43))
| norm != index(status,host(X43))
| ~ setIn(X46,alive)
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| elec_2 != index(status,host(X46))
| index(pendack,host(X46)) != host(X44)
| s(index(pendack,host(X46))) != host(X45) ),
inference(cnf_transformation,[],[f113]) ).
fof(f221,plain,
! [X24] :
( elec_2 != index(status,host(X24))
| index(elid,host(X24)) = X24
| ~ setIn(X24,alive) ),
inference(cnf_transformation,[],[f113]) ).
fof(f230,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f113]) ).
fof(f233,plain,
sK4 = index(elid,host(sK5)),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
host(sK11) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
s(index(pendack,host(sK11))) = host(sK10),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
index(pendack,host(sK11)) = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
elec_2 = index(status,host(sK11)),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
elem(m_Ack(sK11,sK9),snoc(queue(host(sK11)),m_Ldr(sK5))),
inference(cnf_transformation,[],[f113]) ).
fof(f243,plain,
elem(m_Down(sK10),snoc(queue(host(sK11)),m_Ldr(sK5))),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
leq(nbr_proc,s(index(pendack,host(sK11)))),
inference(cnf_transformation,[],[f113]) ).
fof(f245,plain,
setIn(sK11,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f246,plain,
norm = index(status,host(sK8)),
inference(cnf_transformation,[],[f113]) ).
fof(f247,plain,
host(sK8) = index(ldr,host(sK8)),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f263,definition,
( spl13_1
<=> ! [X45,X44,X46] :
( ~ setIn(X46,alive)
| s(index(pendack,host(X46))) != host(X45)
| index(pendack,host(X46)) != host(X44)
| elec_2 != index(status,host(X46))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ elem(m_Down(X45),queue(host(X46))) ) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f264,plain,
( ! [X46,X44,X45] :
( s(index(pendack,host(X46))) != host(X45)
| ~ setIn(X46,alive)
| index(pendack,host(X46)) != host(X44)
| elec_2 != index(status,host(X46))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ elem(m_Down(X45),queue(host(X46))) )
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,definition,
( spl13_2
<=> ! [X43] :
( ~ setIn(X43,alive)
| norm != index(status,host(X43))
| host(X43) != index(ldr,host(X43)) ) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f267,plain,
( ! [X43] :
( host(X43) != index(ldr,host(X43))
| norm != index(status,host(X43))
| ~ setIn(X43,alive) )
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f268,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f211,f266,f263]) ).
fof(f280,plain,
elec_2 = index(status,host(sK7)),
inference(forward_demodulation,[],[f241,f237]) ).
fof(f283,plain,
host(sK9) = index(pendack,host(sK7)),
inference(forward_demodulation,[],[f240,f237]) ).
fof(f285,plain,
leq(nbr_proc,s(index(pendack,host(sK7)))),
inference(forward_demodulation,[],[f244,f237]) ).
fof(f288,plain,
host(sK10) = s(index(pendack,host(sK7))),
inference(forward_demodulation,[],[f239,f237]) ).
fof(f292,plain,
elem(m_Down(sK10),snoc(queue(host(sK7)),m_Ldr(sK5))),
inference(forward_demodulation,[],[f243,f237]) ).
fof(f294,plain,
elem(m_Ack(sK11,sK9),snoc(queue(host(sK7)),m_Ldr(sK5))),
inference(forward_demodulation,[],[f242,f237]) ).
fof(f332,plain,
( elec_2 != elec_2
| sK5 = index(elid,host(sK5))
| ~ setIn(sK5,alive) ),
inference(superposition,[],[f221,f232]) ).
fof(f336,plain,
( sK5 = index(elid,host(sK5))
| ~ setIn(sK5,alive) ),
inference(trivial_inequality_removal,[],[f332]) ).
fof(f347,plain,
sK5 = index(elid,host(sK5)),
inference(forward_subsumption_resolution,[],[f336,f230]) ).
fof(f358,plain,
sK4 = sK5,
inference(forward_demodulation,[],[f347,f233]) ).
fof(f382,definition,
( spl13_13
<=> sK4 = sK5 ),
introduced(definition,[new_symbols(definition,[spl13_13])],[avatar_definition]) ).
fof(f384,plain,
( sK4 = sK5
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f416,plain,
spl13_13,
inference(avatar_split_clause,[],[f358,f382]) ).
fof(f419,plain,
( host(sK8) != host(sK8)
| norm != index(status,host(sK8))
| ~ setIn(sK8,alive)
| ~ spl13_2 ),
inference(superposition,[],[f267,f247]) ).
fof(f420,plain,
( norm != index(status,host(sK8))
| ~ setIn(sK8,alive)
| ~ spl13_2 ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f421,plain,
( ~ setIn(sK8,alive)
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f420,f246]) ).
fof(f423,plain,
( $false
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f421,f248]) ).
fof(f424,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f620,plain,
( elem(m_Down(sK10),snoc(queue(host(sK7)),m_Ldr(sK4)))
| ~ spl13_13 ),
inference(forward_demodulation,[],[f292,f384]) ).
fof(f621,plain,
( elem(m_Ack(sK11,sK9),snoc(queue(host(sK7)),m_Ldr(sK4)))
| ~ spl13_13 ),
inference(forward_demodulation,[],[f294,f384]) ).
fof(f627,definition,
( spl13_23
<=> elec_2 = index(status,host(sK7)) ),
introduced(definition,[new_symbols(definition,[spl13_23])],[avatar_definition]) ).
fof(f628,plain,
( elec_2 = index(status,host(sK7))
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f698,plain,
spl13_23,
inference(avatar_split_clause,[],[f280,f627]) ).
fof(f699,plain,
leq(nbr_proc,s(host(sK9))),
inference(forward_demodulation,[],[f285,f283]) ).
fof(f700,plain,
host(sK10) = s(host(sK9)),
inference(forward_demodulation,[],[f288,f283]) ).
fof(f731,plain,
( ! [X0,X1] :
( host(X0) != s(index(pendack,host(sK7)))
| ~ setIn(sK11,alive)
| host(X1) != index(pendack,host(sK7))
| elec_2 != index(status,host(sK7))
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ elem(m_Ack(sK11,X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_1 ),
inference(superposition,[],[f264,f237]) ).
fof(f737,plain,
( ! [X0,X1] :
( host(X0) != s(index(pendack,host(sK7)))
| host(X1) != index(pendack,host(sK7))
| elec_2 != index(status,host(sK7))
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ elem(m_Ack(sK11,X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f731,f245]) ).
fof(f740,plain,
( ! [X0,X1] :
( host(X0) != s(index(pendack,host(sK7)))
| host(X1) != index(pendack,host(sK7))
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ elem(m_Ack(sK11,X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_1
| ~ spl13_23 ),
inference(forward_subsumption_resolution,[],[f737,f628]) ).
fof(f753,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK9))
| host(X1) != index(pendack,host(sK7))
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ elem(m_Ack(sK11,X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_1
| ~ spl13_23 ),
inference(forward_demodulation,[],[f740,f283]) ).
fof(f755,plain,
( ! [X0,X1] :
( host(X0) != host(sK10)
| host(X1) != index(pendack,host(sK7))
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ elem(m_Ack(sK11,X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_1
| ~ spl13_23 ),
inference(forward_demodulation,[],[f753,f700]) ).
fof(f757,plain,
( ! [X0,X1] :
( host(X1) != host(sK9)
| host(X0) != host(sK10)
| ~ leq(nbr_proc,s(index(pendack,host(sK7))))
| ~ elem(m_Ack(sK11,X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_1
| ~ spl13_23 ),
inference(forward_demodulation,[],[f755,f283]) ).
fof(f758,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,s(host(sK9)))
| host(X1) != host(sK9)
| host(X0) != host(sK10)
| ~ elem(m_Ack(sK11,X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_1
| ~ spl13_23 ),
inference(forward_demodulation,[],[f757,f283]) ).
fof(f759,plain,
( ! [X0,X1] :
( host(X1) != host(sK9)
| host(X0) != host(sK10)
| ~ elem(m_Ack(sK11,X1),queue(host(sK7)))
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_1
| ~ spl13_23 ),
inference(forward_subsumption_resolution,[],[f758,f699]) ).
fof(f761,definition,
( spl13_43
<=> ! [X0] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),queue(host(sK7))) ) ),
introduced(definition,[new_symbols(definition,[spl13_43])],[avatar_definition]) ).
fof(f762,plain,
( ! [X0] :
( host(X0) != host(sK10)
| ~ elem(m_Down(X0),queue(host(sK7))) )
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f764,definition,
( spl13_44
<=> ! [X1] :
( host(X1) != host(sK9)
| ~ elem(m_Ack(sK11,X1),queue(host(sK7))) ) ),
introduced(definition,[new_symbols(definition,[spl13_44])],[avatar_definition]) ).
fof(f765,plain,
( ! [X1] :
( host(X1) != host(sK9)
| ~ elem(m_Ack(sK11,X1),queue(host(sK7))) )
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f766,plain,
( spl13_43
| spl13_44
| ~ spl13_1
| ~ spl13_23 ),
inference(avatar_split_clause,[],[f759,f627,f263,f764,f761]) ).
fof(f770,plain,
( ~ elem(m_Down(sK10),queue(host(sK7)))
| ~ spl13_43 ),
inference(equality_resolution,[],[f762]) ).
fof(f1467,plain,
( elem(m_Down(sK10),queue(host(sK7)))
| m_Down(sK10) = m_Ldr(sK4)
| ~ spl13_13 ),
inference(resolution,[],[f169,f620]) ).
fof(f1468,plain,
( elem(m_Ack(sK11,sK9),queue(host(sK7)))
| m_Ack(sK11,sK9) = m_Ldr(sK4)
| ~ spl13_13 ),
inference(resolution,[],[f169,f621]) ).
fof(f1474,plain,
( elem(m_Ack(sK11,sK9),queue(host(sK7)))
| ~ spl13_13 ),
inference(forward_subsumption_resolution,[],[f1468,f129]) ).
fof(f1475,plain,
( m_Down(sK10) = m_Ldr(sK4)
| ~ spl13_13
| ~ spl13_43 ),
inference(forward_subsumption_resolution,[],[f1467,f770]) ).
fof(f1476,plain,
( $false
| ~ spl13_13
| ~ spl13_43 ),
inference(forward_subsumption_resolution,[],[f1475,f133]) ).
fof(f1477,plain,
( ~ spl13_13
| ~ spl13_43 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1699,plain,
( ~ elem(m_Ack(sK11,sK9),queue(host(sK7)))
| ~ spl13_44 ),
inference(equality_resolution,[],[f765]) ).
fof(f1700,plain,
( $false
| ~ spl13_13
| ~ spl13_44 ),
inference(forward_subsumption_resolution,[],[f1699,f1474]) ).
fof(f1701,plain,
( ~ spl13_13
| ~ spl13_44 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f268]) ).
cnf(s13,plain,
spl13_13,
inference(sat_conversion,[],[f416]) ).
cnf(s14,plain,
~ spl13_2,
inference(sat_conversion,[],[f424]) ).
cnf(s32,plain,
spl13_23,
inference(sat_conversion,[],[f698]) ).
cnf(s35,plain,
( ~ spl13_1
| ~ spl13_23
| spl13_43
| spl13_44 ),
inference(sat_conversion,[],[f766]) ).
cnf(s96,plain,
( ~ spl13_13
| ~ spl13_43 ),
inference(sat_conversion,[],[f1477]) ).
cnf(s106,plain,
( ~ spl13_13
| ~ spl13_44 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s116,plain,
~ spl13_44,
inference(rat,[],[s106,s13]) ).
cnf(s118,plain,
~ spl13_43,
inference(rat,[],[s96,s13]) ).
cnf(s126,plain,
~ spl13_1,
inference(rat,[],[s35,s116,s32,s118]) ).
cnf(s127,plain,
$false,
inference(rat,[],[s1,s14,s126]) ).
fof(f1707,plain,
$false,
inference(avatar_sat_refutation,[],[s127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV463+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 11:12:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.29 % (3306077)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (3306085)dis+10_1_sil=32000:sp=arity:random_seed=3035793092:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (3306083)% WARNING: option uhcvi not known.
% 0.21/0.29 % (3306086)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4239846256:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (3306082)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1436604992_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (3306083)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2209278119:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (3306084)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=242496244:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (3306085) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3306077-3306085"...
% 0.21/0.29 % (3306085)...printing done.
% 0.21/0.29 % (3306088)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3340293085:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % Detected minimum model sizes of [4]
% 0.21/0.29 % Detected maximum model sizes of [max]
% 0.21/0.29 % TRYING [4]
% 0.21/0.29 % (3306087)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2882851647:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (3306085)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (3306085)------------------------------
% 0.21/0.30 % (3306085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (3306085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (3306085)CaDiCaL version: 2.1.3
% 0.21/0.30 % (3306085)Termination reason: Refutation
% 0.21/0.30 % (3306085)Time elapsed: 0.022 s
% 0.21/0.30 % (3306085)Peak memory usage: 13 MB
% 0.21/0.30 % (3306085)Instructions burned: 61 (million)
% 0.21/0.30 % (3306077)Success in time 0.058 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------