%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV462+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 : n011.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 0.80s 0.39s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 169 ( 47 unt; 12 def)
% Number of atoms : 872 ( 324 equ)
% Maximal formula atoms : 88 ( 5 avg)
% Number of connectives : 1150 ( 447 ~; 366 |; 253 &)
% ( 16 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 367 ( 0 sgn 351 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f13,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_12) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_31) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_32) ).
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(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] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> host(X4) != host(X3) )
& ! [X3,X4] :
( elem(m_Halt(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( ( X4 != X3
& host(X4) = host(X3) )
=> ( ~ setIn(X3,alive)
| ~ setIn(X4,alive) ) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& elem(m_Ack(X4,X3),queue(host(X4))) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3] :
( ( ( index(status,host(X3)) = elec_1
| index(status,host(X3)) = elec_2 )
& setIn(X3,alive) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> leq(index(pendack,host(X4)),host(X3)) )
& ! [X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X4) = host(X3) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X5] :
( ( setIn(X3,alive)
& setIn(X5,alive)
& host(X5) = host(X4)
& index(status,host(X3)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = host(X4)
& host(X5) = nbr_proc
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X3,alive)
& elem(m_Down(X4),queue(host(X3))) ) )
& ! [X3,X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X4) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& queue(host(X1)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X3] :
( host(X1) != host(X3)
=> ! [X4,X8,X9] :
( host(X2) = host(X9)
=> ( host(X1) != host(X9)
=> ( ( setIn(X9,alive)
& leq(nbr_proc,s(index(pendack,host(X9))))
& elem(m_Down(X8),snoc(queue(host(X9)),m_Ack(X2,X1)))
& elem(m_Ack(X9,X4),snoc(queue(host(X9)),m_Ack(X2,X1)))
& index(status,host(X9)) = elec_2
& host(X4) = index(pendack,host(X9))
& host(X8) = s(index(pendack,host(X9))) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> host(X4) != host(X3) )
& ! [X3,X4] :
( elem(m_Halt(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( ( X4 != X3
& host(X4) = host(X3) )
=> ( ~ setIn(X3,alive)
| ~ setIn(X4,alive) ) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& elem(m_Ack(X4,X3),queue(host(X4))) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3] :
( ( ( index(status,host(X3)) = elec_1
| index(status,host(X3)) = elec_2 )
& setIn(X3,alive) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> leq(index(pendack,host(X4)),host(X3)) )
& ! [X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X4) = host(X3) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X5] :
( ( setIn(X3,alive)
& setIn(X5,alive)
& host(X5) = host(X4)
& index(status,host(X3)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = host(X4)
& host(X5) = nbr_proc
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X3,alive)
& elem(m_Down(X4),queue(host(X3))) ) )
& ! [X3,X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X4) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& queue(host(X1)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X3] :
( host(X1) != host(X3)
=> ! [X4,X8,X9] :
( host(X2) = host(X9)
=> ( host(X1) != host(X9)
=> ( ( setIn(X9,alive)
& leq(nbr_proc,s(index(pendack,host(X9))))
& elem(m_Down(X8),snoc(queue(host(X9)),m_Ack(X2,X1)))
& elem(m_Ack(X9,X4),snoc(queue(host(X9)),m_Ack(X2,X1)))
& index(status,host(X9)) = elec_2
& host(X4) = index(pendack,host(X9))
& host(X8) = s(index(pendack,host(X9))) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2] :
( ( ! [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] :
( ( ~ leq(host(X19),host(X20))
& setIn(X19,alive)
& setIn(X20,alive)
& elec_2 = index(status,host(X19))
& elec_2 = index(status,host(X20)) )
=> leq(index(pendack,host(X20)),host(X19)) )
& ! [X21,X22,X23] :
( ( setIn(X23,alive)
& elem(m_Down(X22),queue(host(X23)))
& host(X21) = host(X22) )
=> ~ ( setIn(X21,alive)
& host(X21) = index(ldr,host(X21))
& norm = index(status,host(X21)) ) )
& ! [X24,X25,X26] :
( ( setIn(X24,alive)
& setIn(X26,alive)
& host(X25) = host(X26)
& elec_2 = index(status,host(X24))
& elec_2 = index(status,host(X26)) )
=> ~ elem(m_Ack(X24,X25),queue(host(X24))) )
& ! [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_Ack(X40,X38),queue(host(X40)))
& elem(m_Down(X39),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)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X41] :
( host(X1) != host(X41)
=> ! [X42,X43,X44] :
( host(X2) = host(X44)
=> ( host(X1) != host(X44)
=> ( ( setIn(X44,alive)
& leq(nbr_proc,s(index(pendack,host(X44))))
& elem(m_Down(X43),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elem(m_Ack(X44,X42),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X44))
& index(pendack,host(X44)) = host(X42)
& s(index(pendack,host(X44))) = host(X43) )
=> ~ ( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41)) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f32]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f33]) ).
fof(f85,plain,
? [X0,X1,X2] :
( ? [X41] :
( ? [X42,X43,X44] :
( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41))
& setIn(X44,alive)
& leq(nbr_proc,s(index(pendack,host(X44))))
& elem(m_Down(X43),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elem(m_Ack(X44,X42),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X44))
& index(pendack,host(X44)) = host(X42)
& s(index(pendack,host(X44))) = host(X43)
& host(X1) != host(X44)
& host(X2) = host(X44) )
& host(X1) != host(X41) )
& setIn(X1,alive)
& ! [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] :
( leq(index(pendack,host(X20)),host(X19))
| leq(host(X19),host(X20))
| ~ setIn(X19,alive)
| ~ setIn(X20,alive)
| elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X20)) )
& ! [X21,X22,X23] :
( ~ setIn(X21,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X23,alive)
| ~ elem(m_Down(X22),queue(host(X23)))
| host(X21) != host(X22) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X26)
| elec_2 != index(status,host(X24))
| 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_Ack(X40,X38),queue(host(X40)))
| ~ elem(m_Down(X39),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) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,X2] :
( ? [X41] :
( ? [X42,X43,X44] :
( setIn(X41,alive)
& host(X41) = index(ldr,host(X41))
& norm = index(status,host(X41))
& setIn(X44,alive)
& leq(nbr_proc,s(index(pendack,host(X44))))
& elem(m_Down(X43),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elem(m_Ack(X44,X42),snoc(queue(host(X44)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X44))
& index(pendack,host(X44)) = host(X42)
& s(index(pendack,host(X44))) = host(X43)
& host(X1) != host(X44)
& host(X2) = host(X44) )
& host(X1) != host(X41) )
& setIn(X1,alive)
& ! [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] :
( leq(index(pendack,host(X20)),host(X19))
| leq(host(X19),host(X20))
| ~ setIn(X19,alive)
| ~ setIn(X20,alive)
| elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X20)) )
& ! [X21,X22,X23] :
( ~ setIn(X21,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| ~ setIn(X23,alive)
| ~ elem(m_Down(X22),queue(host(X23)))
| host(X21) != host(X22) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X26)
| elec_2 != index(status,host(X24))
| 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_Ack(X40,X38),queue(host(X40)))
| ~ elem(m_Down(X39),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) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f13]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f73]) ).
fof(f141,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f142,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f173,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f179,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f183,plain,
host(sK5) = host(sK10),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
s(index(pendack,host(sK10))) = host(sK9),
inference(cnf_transformation,[],[f86]) ).
fof(f186,plain,
index(pendack,host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
elec_2 = index(status,host(sK10)),
inference(cnf_transformation,[],[f86]) ).
fof(f188,plain,
elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f86]) ).
fof(f189,plain,
elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
leq(nbr_proc,s(index(pendack,host(sK10)))),
inference(cnf_transformation,[],[f86]) ).
fof(f191,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f192,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f86]) ).
fof(f193,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f86]) ).
fof(f194,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f201,plain,
host(sK4) != host(sK6),
inference(cnf_transformation,[],[f86]) ).
fof(f210,plain,
! [X21,X22,X23] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X23)))
| ~ setIn(X23,alive)
| norm != index(status,host(X21))
| host(X21) != index(ldr,host(X21))
| ~ setIn(X21,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f213,plain,
! [X31,X29,X30] :
( elec_2 != index(status,host(X31))
| ~ elem(m_Halt(X31),queue(host(X30)))
| ~ setIn(X31,alive)
| leq(index(pendack,host(X31)),host(X29))
| norm != index(status,host(X29))
| host(X29) != index(ldr,host(X29))
| ~ setIn(X29,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f214,plain,
! [X40,X38,X39,X37] :
( s(index(pendack,host(X40))) != host(X39)
| index(pendack,host(X40)) != host(X38)
| elec_2 != index(status,host(X40))
| ~ leq(nbr_proc,s(index(pendack,host(X40))))
| ~ elem(m_Down(X39),queue(host(X40)))
| ~ elem(m_Ack(X40,X38),queue(host(X40)))
| ~ setIn(X40,alive)
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X37,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f215,plain,
queue(host(sK4)) = cons(m_Halt(sK5),sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f223,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f141]) ).
fof(f234,plain,
! [X0] : ~ leq(host(X0),nbr_proc),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f236,plain,
! [X2,X1] : ~ elem(X1,cons(X1,X2)),
inference(consistent_polarity_flipping,[],[f223]) ).
fof(f241,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 = X1
| ~ elem(X0,X2) ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f254,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f260,plain,
! [X0,X1] :
( leq(X0,s(X1))
| s(X1) = X0
| ~ leq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f261,plain,
! [X40,X38,X39,X37] :
( s(index(pendack,host(X40))) != host(X39)
| index(pendack,host(X40)) != host(X38)
| elec_2 != index(status,host(X40))
| leq(nbr_proc,s(index(pendack,host(X40))))
| elem(m_Down(X39),queue(host(X40)))
| elem(m_Ack(X40,X38),queue(host(X40)))
| ~ setIn(X40,alive)
| norm != index(status,host(X37))
| host(X37) != index(ldr,host(X37))
| ~ setIn(X37,alive) ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f262,plain,
! [X31,X29,X30] :
( host(X29) != index(ldr,host(X29))
| elem(m_Halt(X31),queue(host(X30)))
| ~ setIn(X31,alive)
| ~ leq(index(pendack,host(X31)),host(X29))
| norm != index(status,host(X29))
| elec_2 != index(status,host(X31))
| ~ setIn(X29,alive) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f265,plain,
! [X21,X22,X23] :
( host(X21) != index(ldr,host(X21))
| elem(m_Down(X22),queue(host(X23)))
| ~ setIn(X23,alive)
| norm != index(status,host(X21))
| host(X21) != host(X22)
| ~ setIn(X21,alive) ),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f277,plain,
~ leq(nbr_proc,s(index(pendack,host(sK10)))),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f278,plain,
~ elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ack(sK5,sK4))),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f279,plain,
~ elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ack(sK5,sK4))),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f281,definition,
( spl11_1
<=> ! [X37] :
( norm != index(status,host(X37))
| ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37)) ) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f282,plain,
( ! [X37] :
( host(X37) != index(ldr,host(X37))
| ~ setIn(X37,alive)
| norm != index(status,host(X37)) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,definition,
( spl11_2
<=> ! [X38,X40,X39] :
( s(index(pendack,host(X40))) != host(X39)
| ~ setIn(X40,alive)
| elem(m_Ack(X40,X38),queue(host(X40)))
| elem(m_Down(X39),queue(host(X40)))
| leq(nbr_proc,s(index(pendack,host(X40))))
| elec_2 != index(status,host(X40))
| index(pendack,host(X40)) != host(X38) ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f285,plain,
( ! [X40,X38,X39] :
( elec_2 != index(status,host(X40))
| ~ setIn(X40,alive)
| elem(m_Ack(X40,X38),queue(host(X40)))
| elem(m_Down(X39),queue(host(X40)))
| leq(nbr_proc,s(index(pendack,host(X40))))
| s(index(pendack,host(X40))) != host(X39)
| index(pendack,host(X40)) != host(X38) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f286,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f261,f284,f281]) ).
fof(f287,plain,
~ leq(nbr_proc,s(host(sK8))),
inference(forward_demodulation,[],[f277,f186]) ).
fof(f288,plain,
host(sK9) = s(host(sK8)),
inference(forward_demodulation,[],[f185,f186]) ).
fof(f289,plain,
~ leq(nbr_proc,host(sK9)),
inference(superposition,[],[f287,f288]) ).
fof(f363,plain,
! [X0,X1] :
( host(sK6) != host(sK6)
| elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| norm != index(status,host(sK6))
| host(X0) != host(sK6)
| ~ setIn(sK6,alive) ),
inference(superposition,[],[f265,f193]) ).
fof(f364,plain,
! [X0,X1] :
( elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| norm != index(status,host(sK6))
| host(X0) != host(sK6)
| ~ setIn(sK6,alive) ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f365,plain,
! [X0,X1] :
( elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| host(X0) != host(sK6)
| ~ setIn(sK6,alive) ),
inference(forward_subsumption_resolution,[],[f364,f192]) ).
fof(f366,plain,
! [X0,X1] :
( elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| host(X0) != host(sK6) ),
inference(forward_subsumption_resolution,[],[f365,f194]) ).
fof(f379,plain,
! [X0,X1] :
( host(sK6) != host(sK6)
| elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ leq(index(pendack,host(X0)),host(sK6))
| norm != index(status,host(sK6))
| elec_2 != index(status,host(X0))
| ~ setIn(sK6,alive) ),
inference(superposition,[],[f262,f193]) ).
fof(f380,plain,
! [X0,X1] :
( elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ leq(index(pendack,host(X0)),host(sK6))
| norm != index(status,host(sK6))
| elec_2 != index(status,host(X0))
| ~ setIn(sK6,alive) ),
inference(trivial_inequality_removal,[],[f379]) ).
fof(f381,plain,
! [X0,X1] :
( elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| ~ leq(index(pendack,host(X0)),host(sK6))
| elec_2 != index(status,host(X0))
| ~ setIn(sK6,alive) ),
inference(forward_subsumption_resolution,[],[f380,f192]) ).
fof(f382,plain,
! [X0,X1] :
( ~ leq(index(pendack,host(X0)),host(sK6))
| ~ setIn(X0,alive)
| elem(m_Halt(X0),queue(host(X1)))
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f381,f194]) ).
fof(f387,plain,
! [X0] :
( ~ leq(index(pendack,host(sK10)),host(sK6))
| ~ setIn(sK5,alive)
| elem(m_Halt(sK5),queue(host(X0)))
| elec_2 != index(status,host(sK10)) ),
inference(superposition,[],[f382,f183]) ).
fof(f392,definition,
( spl11_12
<=> ! [X0] : elem(m_Halt(sK10),queue(host(X0))) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f393,plain,
( ! [X0] : elem(m_Halt(sK10),queue(host(X0)))
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,definition,
( spl11_13
<=> leq(host(sK8),host(sK6)) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f397,plain,
( ~ leq(host(sK8),host(sK6))
| spl11_13 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f439,definition,
( spl11_20
<=> ! [X1] :
( host(X1) != host(sK9)
| elem(m_Down(X1),queue(host(sK10))) ) ),
introduced(definition,[new_symbols(definition,[spl11_20])],[avatar_definition]) ).
fof(f440,plain,
( ! [X1] :
( elem(m_Down(X1),queue(host(sK10)))
| host(X1) != host(sK9) )
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f442,definition,
( spl11_21
<=> ! [X0] :
( host(X0) != host(sK8)
| elem(m_Ack(sK10,X0),queue(host(sK10))) ) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
fof(f443,plain,
( ! [X0] :
( elem(m_Ack(sK10,X0),queue(host(sK10)))
| host(X0) != host(sK8) )
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f446,plain,
( host(sK6) != host(sK6)
| ~ setIn(sK6,alive)
| norm != index(status,host(sK6))
| ~ spl11_1 ),
inference(superposition,[],[f282,f193]) ).
fof(f447,plain,
( ~ setIn(sK6,alive)
| norm != index(status,host(sK6))
| ~ spl11_1 ),
inference(trivial_inequality_removal,[],[f446]) ).
fof(f448,plain,
( norm != index(status,host(sK6))
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f447,f194]) ).
fof(f449,plain,
( $false
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f448,f192]) ).
fof(f450,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f461,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ setIn(sK10,alive)
| elem(m_Ack(sK10,X0),queue(host(sK10)))
| elem(m_Down(X1),queue(host(sK10)))
| leq(nbr_proc,s(index(pendack,host(sK10))))
| host(X1) != s(index(pendack,host(sK10)))
| host(X0) != index(pendack,host(sK10)) )
| ~ spl11_2 ),
inference(superposition,[],[f285,f187]) ).
fof(f463,plain,
( ! [X0,X1] :
( ~ setIn(sK10,alive)
| elem(m_Ack(sK10,X0),queue(host(sK10)))
| elem(m_Down(X1),queue(host(sK10)))
| leq(nbr_proc,s(index(pendack,host(sK10))))
| host(X1) != s(index(pendack,host(sK10)))
| host(X0) != index(pendack,host(sK10)) )
| ~ spl11_2 ),
inference(trivial_inequality_removal,[],[f461]) ).
fof(f464,plain,
( ! [X0,X1] :
( elem(m_Ack(sK10,X0),queue(host(sK10)))
| elem(m_Down(X1),queue(host(sK10)))
| leq(nbr_proc,s(index(pendack,host(sK10))))
| host(X1) != s(index(pendack,host(sK10)))
| host(X0) != index(pendack,host(sK10)) )
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f463,f191]) ).
fof(f465,plain,
( ! [X0,X1] :
( leq(nbr_proc,s(host(sK8)))
| elem(m_Ack(sK10,X0),queue(host(sK10)))
| elem(m_Down(X1),queue(host(sK10)))
| host(X1) != s(index(pendack,host(sK10)))
| host(X0) != index(pendack,host(sK10)) )
| ~ spl11_2 ),
inference(forward_demodulation,[],[f464,f186]) ).
fof(f466,plain,
( ! [X0,X1] :
( elem(m_Ack(sK10,X0),queue(host(sK10)))
| elem(m_Down(X1),queue(host(sK10)))
| host(X1) != s(index(pendack,host(sK10)))
| host(X0) != index(pendack,host(sK10)) )
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f465,f287]) ).
fof(f467,plain,
( ! [X0,X1] :
( host(X1) != s(host(sK8))
| elem(m_Ack(sK10,X0),queue(host(sK10)))
| elem(m_Down(X1),queue(host(sK10)))
| host(X0) != index(pendack,host(sK10)) )
| ~ spl11_2 ),
inference(forward_demodulation,[],[f466,f186]) ).
fof(f468,plain,
( ! [X0,X1] :
( host(X1) != host(sK9)
| elem(m_Ack(sK10,X0),queue(host(sK10)))
| elem(m_Down(X1),queue(host(sK10)))
| host(X0) != index(pendack,host(sK10)) )
| ~ spl11_2 ),
inference(forward_demodulation,[],[f467,f288]) ).
fof(f471,plain,
~ elem(m_Halt(sK5),queue(host(sK4))),
inference(superposition,[],[f236,f215]) ).
fof(f548,plain,
! [X0] :
( leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f254,f234]) ).
fof(f576,definition,
( spl11_29
<=> host(sK8) = host(sK6) ),
introduced(definition,[new_symbols(definition,[spl11_29])],[avatar_definition]) ).
fof(f578,plain,
( host(sK8) = host(sK6)
| ~ spl11_29 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f580,definition,
( spl11_30
<=> leq(host(sK6),host(sK8)) ),
introduced(definition,[new_symbols(definition,[spl11_30])],[avatar_definition]) ).
fof(f582,plain,
( leq(host(sK6),host(sK8))
| ~ spl11_30 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f652,plain,
( m_Ack(sK5,sK4) = m_Down(sK9)
| ~ elem(m_Down(sK9),queue(host(sK10))) ),
inference(resolution,[],[f241,f278]) ).
fof(f653,plain,
( m_Ack(sK10,sK8) = m_Ack(sK5,sK4)
| ~ elem(m_Ack(sK10,sK8),queue(host(sK10))) ),
inference(resolution,[],[f241,f279]) ).
fof(f658,definition,
( spl11_33
<=> elem(m_Ack(sK10,sK8),queue(host(sK10))) ),
introduced(definition,[new_symbols(definition,[spl11_33])],[avatar_definition]) ).
fof(f660,plain,
( ~ elem(m_Ack(sK10,sK8),queue(host(sK10)))
| spl11_33 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl11_34
<=> m_Ack(sK10,sK8) = m_Ack(sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl11_34])],[avatar_definition]) ).
fof(f664,plain,
( m_Ack(sK10,sK8) = m_Ack(sK5,sK4)
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( ~ spl11_33
| spl11_34 ),
inference(avatar_split_clause,[],[f653,f662,f658]) ).
fof(f666,plain,
~ elem(m_Down(sK9),queue(host(sK10))),
inference(forward_subsumption_resolution,[],[f652,f100]) ).
fof(f690,plain,
! [X0] :
( ~ leq(X0,host(sK8))
| host(sK9) = X0
| leq(X0,host(sK9)) ),
inference(superposition,[],[f260,f288]) ).
fof(f697,definition,
( spl11_36
<=> nbr_proc = host(sK9) ),
introduced(definition,[new_symbols(definition,[spl11_36])],[avatar_definition]) ).
fof(f699,plain,
( nbr_proc = host(sK9)
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f743,plain,
( host(sK9) != host(sK9)
| ~ spl11_20 ),
inference(resolution,[],[f666,f440]) ).
fof(f744,plain,
( ~ setIn(sK10,alive)
| host(sK9) != host(sK6) ),
inference(resolution,[],[f666,f366]) ).
fof(f745,plain,
( $false
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f743]) ).
fof(f746,plain,
~ spl11_20,
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f747,plain,
host(sK9) != host(sK6),
inference(forward_subsumption_resolution,[],[f744,f191]) ).
fof(f748,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| host(X1) != host(sK9)
| elem(m_Ack(sK10,X0),queue(host(sK10)))
| elem(m_Down(X1),queue(host(sK10))) )
| ~ spl11_2 ),
inference(forward_demodulation,[],[f468,f186]) ).
fof(f749,plain,
( spl11_20
| spl11_21
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f748,f284,f442,f439]) ).
fof(f812,plain,
( host(sK8) != host(sK8)
| ~ spl11_21
| spl11_33 ),
inference(resolution,[],[f443,f660]) ).
fof(f813,plain,
( $false
| ~ spl11_21
| spl11_33 ),
inference(trivial_inequality_removal,[],[f812]) ).
fof(f814,plain,
( ~ spl11_21
| spl11_33 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f823,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK10,sK8)
| sK5 = X0 )
| ~ spl11_34 ),
inference(superposition,[],[f124,f664]) ).
fof(f825,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK10,sK8)
| sK4 = X1 )
| ~ spl11_34 ),
inference(superposition,[],[f125,f664]) ).
fof(f855,definition,
( spl11_43
<=> sK5 = sK10 ),
introduced(definition,[new_symbols(definition,[spl11_43])],[avatar_definition]) ).
fof(f857,plain,
( sK5 = sK10
| ~ spl11_43 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f974,plain,
nbr_proc = host(sK9),
inference(resolution,[],[f548,f289]) ).
fof(f983,plain,
spl11_36,
inference(avatar_split_clause,[],[f974,f697]) ).
fof(f1479,plain,
( nbr_proc != host(sK6)
| ~ spl11_36 ),
inference(forward_demodulation,[],[f747,f699]) ).
fof(f1937,plain,
( ~ elem(m_Halt(sK10),queue(host(sK4)))
| ~ spl11_43 ),
inference(superposition,[],[f471,f857]) ).
fof(f1943,plain,
( $false
| ~ spl11_12
| ~ spl11_43 ),
inference(forward_subsumption_resolution,[],[f1937,f393]) ).
fof(f1944,plain,
( ~ spl11_12
| ~ spl11_43 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1961,plain,
! [X0] :
( ~ leq(index(pendack,host(sK10)),host(sK6))
| ~ setIn(sK5,alive)
| elem(m_Halt(sK5),queue(host(X0))) ),
inference(forward_subsumption_resolution,[],[f387,f187]) ).
fof(f1975,plain,
! [X0] :
( ~ leq(host(sK8),host(sK6))
| ~ setIn(sK5,alive)
| elem(m_Halt(sK5),queue(host(X0))) ),
inference(forward_demodulation,[],[f1961,f186]) ).
fof(f1985,plain,
( ! [X0] :
( ~ setIn(sK10,alive)
| ~ leq(host(sK8),host(sK6))
| elem(m_Halt(sK5),queue(host(X0))) )
| ~ spl11_43 ),
inference(forward_demodulation,[],[f1975,f857]) ).
fof(f1994,plain,
( ! [X0] :
( ~ leq(host(sK8),host(sK6))
| elem(m_Halt(sK5),queue(host(X0))) )
| ~ spl11_43 ),
inference(forward_subsumption_resolution,[],[f1985,f191]) ).
fof(f1999,plain,
( ! [X0] :
( elem(m_Halt(sK10),queue(host(X0)))
| ~ leq(host(sK8),host(sK6)) )
| ~ spl11_43 ),
inference(forward_demodulation,[],[f1994,f857]) ).
fof(f2615,plain,
( host(sK9) = host(sK6)
| leq(host(sK6),host(sK9))
| ~ spl11_30 ),
inference(resolution,[],[f582,f690]) ).
fof(f2623,plain,
( nbr_proc = host(sK6)
| leq(host(sK6),host(sK9))
| ~ spl11_30
| ~ spl11_36 ),
inference(forward_demodulation,[],[f2615,f699]) ).
fof(f2626,plain,
( leq(host(sK6),host(sK9))
| ~ spl11_30
| ~ spl11_36 ),
inference(forward_subsumption_resolution,[],[f2623,f1479]) ).
fof(f2628,plain,
( leq(host(sK6),nbr_proc)
| ~ spl11_30
| ~ spl11_36 ),
inference(forward_demodulation,[],[f2626,f699]) ).
fof(f2630,plain,
( $false
| ~ spl11_30
| ~ spl11_36 ),
inference(forward_subsumption_resolution,[],[f2628,f234]) ).
fof(f2631,plain,
( ~ spl11_30
| ~ spl11_36 ),
inference(avatar_contradiction_clause,[],[f2630]) ).
fof(f2972,plain,
( sK5 = sK10
| ~ spl11_34 ),
inference(equality_resolution,[],[f823]) ).
fof(f3016,plain,
( ~ spl11_13
| spl11_12
| ~ spl11_43 ),
inference(avatar_split_clause,[],[f1999,f855,f392,f395]) ).
fof(f3019,plain,
( spl11_43
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f2972,f662,f855]) ).
fof(f3034,plain,
( leq(host(sK6),host(sK8))
| host(sK8) = host(sK6)
| spl11_13 ),
inference(resolution,[],[f397,f254]) ).
fof(f3037,plain,
( spl11_29
| spl11_30
| spl11_13 ),
inference(avatar_split_clause,[],[f3034,f395,f580,f576]) ).
fof(f3039,plain,
( sK4 = sK8
| ~ spl11_34 ),
inference(equality_resolution,[],[f825]) ).
fof(f4151,plain,
( host(sK4) = host(sK6)
| ~ spl11_29
| ~ spl11_34 ),
inference(forward_demodulation,[],[f578,f3039]) ).
fof(f4152,plain,
( $false
| ~ spl11_29
| ~ spl11_34 ),
inference(forward_subsumption_resolution,[],[f4151,f201]) ).
fof(f4153,plain,
( ~ spl11_29
| ~ spl11_34 ),
inference(avatar_contradiction_clause,[],[f4152]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f286]) ).
cnf(s15,plain,
~ spl11_1,
inference(sat_conversion,[],[f450]) ).
cnf(s27,plain,
( ~ spl11_33
| spl11_34 ),
inference(sat_conversion,[],[f665]) ).
cnf(s30,plain,
~ spl11_20,
inference(sat_conversion,[],[f746]) ).
cnf(s31,plain,
( ~ spl11_2
| spl11_20
| spl11_21 ),
inference(sat_conversion,[],[f749]) ).
cnf(s34,plain,
( ~ spl11_21
| spl11_33 ),
inference(sat_conversion,[],[f814]) ).
cnf(s40,plain,
spl11_36,
inference(sat_conversion,[],[f983]) ).
cnf(s124,plain,
( ~ spl11_12
| ~ spl11_43 ),
inference(sat_conversion,[],[f1944]) ).
cnf(s202,plain,
( ~ spl11_30
| ~ spl11_36 ),
inference(sat_conversion,[],[f2631]) ).
cnf(s295,plain,
( spl11_12
| ~ spl11_13
| ~ spl11_43 ),
inference(sat_conversion,[],[f3016]) ).
cnf(s296,plain,
( ~ spl11_34
| spl11_43 ),
inference(sat_conversion,[],[f3019]) ).
cnf(s301,plain,
( spl11_13
| spl11_29
| spl11_30 ),
inference(sat_conversion,[],[f3037]) ).
cnf(s366,plain,
( ~ spl11_29
| ~ spl11_34 ),
inference(sat_conversion,[],[f4153]) ).
cnf(s374,plain,
~ spl11_30,
inference(rat,[],[s202,s40]) ).
cnf(s384,plain,
spl11_2,
inference(rat,[],[s1,s15]) ).
cnf(s385,plain,
spl11_21,
inference(rat,[],[s31,s30,s384]) ).
cnf(s386,plain,
spl11_33,
inference(rat,[],[s34,s385]) ).
cnf(s387,plain,
spl11_34,
inference(rat,[],[s27,s386]) ).
cnf(s388,plain,
~ spl11_29,
inference(rat,[],[s366,s387]) ).
cnf(s393,plain,
spl11_43,
inference(rat,[],[s296,s387]) ).
cnf(s394,plain,
spl11_13,
inference(rat,[],[s301,s374,s388]) ).
cnf(s409,plain,
~ spl11_12,
inference(rat,[],[s124,s393]) ).
cnf(s411,plain,
$false,
inference(rat,[],[s295,s393,s394,s409]) ).
fof(f4154,plain,
$false,
inference(avatar_sat_refutation,[],[s411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV462+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n011.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 11:09:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.80/0.39 % (3328222)Will run a generic schedule for satisfiability detection.
% 0.80/0.39 % (3328232)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=157910490:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.39 % (3328228)% WARNING: option uhcvi not known.
% 0.80/0.39 % (3328230)dis+10_1_sil=32000:sp=arity:random_seed=358909074:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.39 % (3328227)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3023365218_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.39 % (3328228)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1802313366:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.39 % (3328229)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1288819204:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.39 % (3328231)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=883319175:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.39 % (3328233)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4065745659:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.39 % Detected minimum model sizes of [4]
% 0.80/0.39 % Detected maximum model sizes of [max]
% 0.80/0.39 % TRYING [4]
% 0.80/0.39 % (3328232)Instruction limit reached!
% 0.80/0.39 % (3328232)------------------------------
% 0.80/0.39 % (3328232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3328232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3328232)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3328232)Termination reason: Instruction limit
% 0.80/0.39 % (3328232)Termination phase: Saturation
% 0.80/0.39 % (3328232)Time elapsed: 0.044 s
% 0.80/0.39 % (3328232)Peak memory usage: 13 MB
% 0.80/0.39 % (3328232)Instructions burned: 133 (million)
% 0.80/0.39 % TRYING [5]
% 0.80/0.39 % (3328241)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2842526278:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.80/0.39 % Detected minimum model sizes of [4]
% 0.80/0.39 % Detected maximum model sizes of [max]
% 0.80/0.39 % TRYING [4]
% 0.80/0.39 % (3328230)Instruction limit reached!
% 0.80/0.39 % (3328230)------------------------------
% 0.80/0.39 % (3328230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % TRYING [5]
% 0.80/0.39 % (3328230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3328230)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3328230)Termination reason: Instruction limit
% 0.80/0.39 % (3328230)Termination phase: Saturation
% 0.80/0.39 % (3328230)Time elapsed: 0.070 s
% 0.80/0.39 % (3328230)Peak memory usage: 12 MB
% 0.80/0.39 % (3328230)Instructions burned: 104 (million)
% 0.80/0.39 % (3328231)Instruction limit reached!
% 0.80/0.39 % (3328231)------------------------------
% 0.80/0.39 % (3328231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3328231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3328231)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3328231)Termination reason: Instruction limit
% 0.80/0.39 % (3328231)Termination phase: Saturation
% 0.80/0.39 % (3328231)Time elapsed: 0.072 s
% 0.80/0.39 % (3328231)Peak memory usage: 12 MB
% 0.80/0.39 % (3328231)Instructions burned: 117 (million)
% 0.80/0.39 % (3328243)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2023683988:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.80/0.39 % TRYING [6]
% 0.80/0.39 % (3328244)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3157102274:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.80/0.39 % (3328233)Instruction limit reached!
% 0.80/0.39 % (3328233)------------------------------
% 0.80/0.39 % (3328233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3328233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3328233)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3328233)Termination reason: Instruction limit
% 0.80/0.39 % (3328233)Termination phase: Saturation
% 0.80/0.39 % (3328233)Time elapsed: 0.101 s
% 0.80/0.39 % (3328233)Peak memory usage: 13 MB
% 0.80/0.39 % (3328233)Instructions burned: 160 (million)
% 0.80/0.39 % TRYING [6]
% 0.80/0.39 % (3328228) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3328222-3328228"...
% 0.80/0.39 % (3328228)...printing done.
% 0.80/0.39 % (3328228)Refutation found. Thanks to Tanya!
% 0.80/0.39 % SZS status Theorem for theBenchmark
% 0.80/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.39 % (3328228)------------------------------
% 0.80/0.39 % (3328228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.39 % (3328228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.39 % (3328228)CaDiCaL version: 2.1.3
% 0.80/0.39 % (3328228)Termination reason: Refutation
% 0.80/0.39 % (3328228)Time elapsed: 0.117 s
% 0.80/0.39 % (3328228)Peak memory usage: 14 MB
% 0.80/0.39 % (3328228)Instructions burned: 176 (million)
% 0.80/0.39 % (3328222)Success in time 0.154 s
% 0.80/0.39 % Vampire exiting
%------------------------------------------------------------------------------