%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV462+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:15:52 PM UTC 2026
% Result : Theorem 1.96s 1.14s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 19
% Syntax : Number of formulae : 160 ( 37 unt; 10 def)
% Number of atoms : 1085 ( 432 equ)
% Maximal formula atoms : 88 ( 6 avg)
% Number of connectives : 1562 ( 637 ~; 508 |; 335 &)
% ( 14 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 18 con; 0-2 aty)
% Number of variables : 431 ( 0 sgn 407 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f13,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/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,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] :
( setIn(X3,alive)
& host(X3) = index(ldr,host(X3))
& norm = index(status,host(X3))
& setIn(X6,alive)
& leq(nbr_proc,s(index(pendack,host(X6))))
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(X2,X1)))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X6))
& host(X4) = index(pendack,host(X6))
& host(X5) = s(index(pendack,host(X6)))
& host(X1) != host(X6)
& host(X2) = host(X6) )
& host(X1) != host(X3) )
& setIn(X1,alive)
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10] :
( host(X9) != host(X10)
| ~ elem(m_Down(X10),queue(host(X9))) )
& ! [X11,X12] :
( ~ leq(host(X11),host(X12))
| ~ elem(m_Halt(X12),queue(host(X11))) )
& ! [X13,X14,X15] :
( ~ leq(host(X13),host(X15))
| ~ elem(m_Ack(X15,X13),queue(host(X14))) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| X16 = X17
| host(X17) != host(X16) )
& ! [X18,X19] :
( leq(host(X18),index(pendack,host(X19)))
| ~ setIn(X19,alive)
| ~ elem(m_Ack(X19,X18),queue(host(X19))) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ( elec_1 != index(status,host(X22))
& elec_2 != index(status,host(X22)) )
| ~ setIn(X22,alive) )
& ! [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] :
( ~ 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(X25) != host(X26) )
& ! [X28,X29,X30] :
( ~ elem(m_Ack(X28,X29),queue(host(X28)))
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| host(X29) != host(X30)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X30)) )
& ! [X31,X32] :
( ~ leq(index(pendack,host(X31)),index(pendack,host(X32)))
| leq(host(X31),host(X32))
| ~ setIn(X31,alive)
| ~ setIn(X32,alive)
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35] :
( ~ setIn(X33,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| leq(index(pendack,host(X35)),host(X33))
| ~ setIn(X35,alive)
| ~ elem(m_Halt(X35),queue(host(X34)))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38,X39] :
( ~ setIn(X36,alive)
| ~ elem(m_Down(X37),queue(host(X36)))
| ? [X40] :
( ~ setIn(X40,index(down,host(X39)))
& host(X38) != X40
& ~ leq(host(X39),X40)
& leq(s(zero),X40) )
| ~ elem(m_Down(X38),queue(host(X39)))
| host(X39) != host(X37)
| nbr_proc != host(X39)
| elec_1 != index(status,host(X39)) )
& ! [X41,X42,X43,X44] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| elec_2 != index(status,host(X44))
| index(pendack,host(X44)) != host(X42)
| s(index(pendack,host(X44))) != host(X43) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK6,alive)
& host(sK6) = index(ldr,host(sK6))
& norm = index(status,host(sK6))
& setIn(sK9,alive)
& leq(nbr_proc,s(index(pendack,host(sK9))))
& elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ack(sK5,sK4)))
& elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Ack(sK5,sK4)))
& elec_2 = index(status,host(sK9))
& index(pendack,host(sK9)) = host(sK7)
& s(index(pendack,host(sK9))) = host(sK8)
& host(sK9) != host(sK4)
& host(sK9) = host(sK5)
& host(sK6) != host(sK4)
& setIn(sK4,alive)
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10] :
( host(X9) != host(X10)
| ~ elem(m_Down(X10),queue(host(X9))) )
& ! [X11,X12] :
( ~ leq(host(X11),host(X12))
| ~ elem(m_Halt(X12),queue(host(X11))) )
& ! [X13,X14,X15] :
( ~ leq(host(X13),host(X15))
| ~ elem(m_Ack(X15,X13),queue(host(X14))) )
& ! [X16,X17] :
( ~ setIn(X16,alive)
| ~ setIn(X17,alive)
| X16 = X17
| host(X17) != host(X16) )
& ! [X18,X19] :
( leq(host(X18),index(pendack,host(X19)))
| ~ setIn(X19,alive)
| ~ elem(m_Ack(X19,X18),queue(host(X19))) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ( elec_1 != index(status,host(X22))
& elec_2 != index(status,host(X22)) )
| ~ setIn(X22,alive) )
& ! [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] :
( ~ 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(X25) != host(X26) )
& ! [X28,X29,X30] :
( ~ elem(m_Ack(X28,X29),queue(host(X28)))
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| host(X29) != host(X30)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X30)) )
& ! [X31,X32] :
( ~ leq(index(pendack,host(X31)),index(pendack,host(X32)))
| leq(host(X31),host(X32))
| ~ setIn(X31,alive)
| ~ setIn(X32,alive)
| elec_2 != index(status,host(X31))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35] :
( ~ setIn(X33,alive)
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| leq(index(pendack,host(X35)),host(X33))
| ~ setIn(X35,alive)
| ~ elem(m_Halt(X35),queue(host(X34)))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38,X39] :
( ~ setIn(X36,alive)
| ~ elem(m_Down(X37),queue(host(X36)))
| ( ~ setIn(sK10(X38,X39),index(down,host(X39)))
& host(X38) != sK10(X38,X39)
& ~ leq(host(X39),sK10(X38,X39))
& leq(s(zero),sK10(X38,X39)) )
| ~ elem(m_Down(X38),queue(host(X39)))
| host(X39) != host(X37)
| nbr_proc != host(X39)
| elec_1 != index(status,host(X39)) )
& ! [X41,X42,X43,X44] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| elec_2 != index(status,host(X44))
| index(pendack,host(X44)) != host(X42)
| s(index(pendack,host(X44))) != host(X43) )
& queue(host(sK4)) = cons(m_Halt(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X40,sK10(X38,X39))],[f112]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f13]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f73]) ).
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(f200,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f206,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f210,plain,
queue(host(sK4)) = cons(m_Halt(sK5),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f211,plain,
! [X41,X44,X42,X43] :
( ~ setIn(X41,alive)
| host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44)))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| elec_2 != index(status,host(X44))
| index(pendack,host(X44)) != host(X42)
| s(index(pendack,host(X44))) != host(X43) ),
inference(cnf_transformation,[],[f113]) ).
fof(f216,plain,
! [X34,X35,X33] :
( ~ elem(m_Halt(X35),queue(host(X34)))
| host(X33) != index(ldr,host(X33))
| norm != index(status,host(X33))
| leq(index(pendack,host(X35)),host(X33))
| ~ setIn(X35,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X35)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f219,plain,
! [X26,X27,X25] :
( ~ elem(m_Down(X26),queue(host(X27)))
| host(X25) != index(ldr,host(X25))
| norm != index(status,host(X25))
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| host(X25) != host(X26) ),
inference(cnf_transformation,[],[f113]) ).
fof(f231,plain,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
host(sK9) = host(sK5),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
s(index(pendack,host(sK9))) = host(sK8),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
index(pendack,host(sK9)) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
elec_2 = index(status,host(sK9)),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
elem(m_Ack(sK9,sK7),snoc(queue(host(sK9)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
elem(m_Down(sK8),snoc(queue(host(sK9)),m_Ack(sK5,sK4))),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
leq(nbr_proc,s(index(pendack,host(sK9)))),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
setIn(sK9,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f113]) ).
fof(f242,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f113]) ).
fof(f243,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f250,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
fof(f258,definition,
( spl11_1
<=> ! [X44,X43,X42] :
( ~ setIn(X44,alive)
| s(index(pendack,host(X44))) != host(X43)
| index(pendack,host(X44)) != host(X42)
| elec_2 != index(status,host(X44))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| ~ elem(m_Down(X43),queue(host(X44)))
| ~ elem(m_Ack(X44,X42),queue(host(X44))) ) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f259,plain,
( ! [X44,X42,X43] :
( ~ elem(m_Down(X43),queue(host(X44)))
| s(index(pendack,host(X44))) != host(X43)
| index(pendack,host(X44)) != host(X42)
| elec_2 != index(status,host(X44))
| ~ leq(nbr_proc,s(index(pendack,host(X44))))
| ~ setIn(X44,alive)
| ~ elem(m_Ack(X44,X42),queue(host(X44))) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,definition,
( spl11_2
<=> ! [X41] :
( ~ setIn(X41,alive)
| norm != index(status,host(X41))
| host(X41) != index(ldr,host(X41)) ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f262,plain,
( ! [X41] :
( host(X41) != index(ldr,host(X41))
| norm != index(status,host(X41))
| ~ setIn(X41,alive) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f211,f261,f258]) ).
fof(f264,plain,
leq(nbr_proc,s(host(sK7))),
inference(forward_demodulation,[],[f239,f235]) ).
fof(f265,plain,
host(sK8) = s(host(sK7)),
inference(forward_demodulation,[],[f234,f235]) ).
fof(f266,plain,
leq(nbr_proc,host(sK8)),
inference(superposition,[],[f264,f265]) ).
fof(f276,definition,
( spl11_3
<=> setIn(sK5,alive) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f278,plain,
( ~ setIn(sK5,alive)
| spl11_3 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f316,plain,
( host(sK6) != host(sK6)
| norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| ~ spl11_2 ),
inference(superposition,[],[f262,f242]) ).
fof(f317,plain,
( norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| ~ spl11_2 ),
inference(trivial_inequality_removal,[],[f316]) ).
fof(f318,plain,
( ~ setIn(sK6,alive)
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f317,f241]) ).
fof(f319,plain,
( $false
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f318,f243]) ).
fof(f320,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f366,plain,
elem(m_Halt(sK5),queue(host(sK4))),
inference(superposition,[],[f250,f210]) ).
fof(f367,plain,
! [X0] :
( host(X0) != index(ldr,host(X0))
| norm != index(status,host(X0))
| leq(index(pendack,host(sK5)),host(X0))
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| elec_2 != index(status,host(sK5)) ),
inference(resolution,[],[f366,f216]) ).
fof(f460,plain,
( nbr_proc = host(sK8)
| ~ leq(host(sK8),nbr_proc) ),
inference(resolution,[],[f200,f266]) ).
fof(f462,plain,
nbr_proc = host(sK8),
inference(forward_subsumption_resolution,[],[f460,f119]) ).
fof(f653,plain,
( elem(m_Down(sK8),queue(host(sK9)))
| m_Down(sK8) = m_Ack(sK5,sK4) ),
inference(resolution,[],[f169,f238]) ).
fof(f654,plain,
( elem(m_Ack(sK9,sK7),queue(host(sK9)))
| m_Ack(sK5,sK4) = m_Ack(sK9,sK7) ),
inference(resolution,[],[f169,f237]) ).
fof(f659,definition,
( spl11_37
<=> m_Ack(sK5,sK4) = m_Ack(sK9,sK7) ),
introduced(definition,[new_symbols(definition,[spl11_37])],[avatar_definition]) ).
fof(f661,plain,
( m_Ack(sK5,sK4) = m_Ack(sK9,sK7)
| ~ spl11_37 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f663,definition,
( spl11_38
<=> elem(m_Ack(sK9,sK7),queue(host(sK9))) ),
introduced(definition,[new_symbols(definition,[spl11_38])],[avatar_definition]) ).
fof(f665,plain,
( elem(m_Ack(sK9,sK7),queue(host(sK9)))
| ~ spl11_38 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f666,plain,
( spl11_37
| spl11_38 ),
inference(avatar_split_clause,[],[f654,f663,f659]) ).
fof(f667,plain,
elem(m_Down(sK8),queue(host(sK9))),
inference(forward_subsumption_resolution,[],[f653,f127]) ).
fof(f668,plain,
( ! [X0] :
( s(index(pendack,host(sK9))) != host(sK8)
| host(X0) != index(pendack,host(sK9))
| elec_2 != index(status,host(sK9))
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ setIn(sK9,alive)
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(resolution,[],[f667,f259]) ).
fof(f669,plain,
! [X0] :
( host(X0) != index(ldr,host(X0))
| norm != index(status,host(X0))
| ~ setIn(sK9,alive)
| ~ setIn(X0,alive)
| host(X0) != host(sK8) ),
inference(resolution,[],[f667,f219]) ).
fof(f672,plain,
! [X0] :
( host(X0) != index(ldr,host(X0))
| norm != index(status,host(X0))
| ~ setIn(X0,alive)
| host(X0) != host(sK8) ),
inference(forward_subsumption_resolution,[],[f669,f240]) ).
fof(f673,plain,
( ! [X0] :
( s(index(pendack,host(sK9))) != host(sK8)
| host(X0) != index(pendack,host(sK9))
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ setIn(sK9,alive)
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f668,f236]) ).
fof(f674,plain,
! [X0] :
( host(X0) != nbr_proc
| host(X0) != index(ldr,host(X0))
| norm != index(status,host(X0))
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f672,f462]) ).
fof(f675,plain,
( ! [X0] :
( s(index(pendack,host(sK9))) != host(sK8)
| host(X0) != index(pendack,host(sK9))
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f673,f240]) ).
fof(f676,plain,
( ! [X0] :
( nbr_proc != s(index(pendack,host(sK9)))
| host(X0) != index(pendack,host(sK9))
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(forward_demodulation,[],[f675,f462]) ).
fof(f677,plain,
( ! [X0] :
( nbr_proc != s(host(sK7))
| host(X0) != index(pendack,host(sK9))
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(forward_demodulation,[],[f676,f235]) ).
fof(f678,plain,
( ! [X0] :
( nbr_proc != host(sK8)
| host(X0) != index(pendack,host(sK9))
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(forward_demodulation,[],[f677,f265]) ).
fof(f679,plain,
( ! [X0] :
( host(X0) != index(pendack,host(sK9))
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f678,f462]) ).
fof(f680,plain,
( ! [X0] :
( host(X0) != host(sK7)
| ~ leq(nbr_proc,s(index(pendack,host(sK9))))
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(forward_demodulation,[],[f679,f235]) ).
fof(f681,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(host(sK7)))
| host(X0) != host(sK7)
| ~ elem(m_Ack(sK9,X0),queue(host(sK9))) )
| ~ spl11_1 ),
inference(forward_demodulation,[],[f680,f235]) ).
fof(f682,plain,
( ! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(host(sK9)))
| host(X0) != host(sK7) )
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f681,f264]) ).
fof(f703,plain,
! [X0,X1] :
( ~ leq(X1,s(X0))
| s(X0) = X1
| X0 = X1
| ~ leq(X0,X1) ),
inference(resolution,[],[f206,f200]) ).
fof(f877,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK9,sK7)
| sK5 = X0 )
| ~ spl11_37 ),
inference(superposition,[],[f151,f661]) ).
fof(f926,definition,
( spl11_51
<=> sK5 = sK9 ),
introduced(definition,[new_symbols(definition,[spl11_51])],[avatar_definition]) ).
fof(f928,plain,
( sK5 = sK9
| ~ spl11_51 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f1637,plain,
! [X0] :
( ~ leq(X0,host(sK8))
| host(sK8) = X0
| host(sK7) = X0
| ~ leq(host(sK7),X0) ),
inference(superposition,[],[f703,f265]) ).
fof(f1638,plain,
! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK8) = X0
| host(sK7) = X0
| ~ leq(host(sK7),X0) ),
inference(forward_demodulation,[],[f1637,f462]) ).
fof(f1640,plain,
! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| host(sK7) = X0
| ~ leq(host(sK7),X0) ),
inference(forward_demodulation,[],[f1638,f462]) ).
fof(f2519,plain,
( sK5 = sK9
| ~ spl11_37 ),
inference(equality_resolution,[],[f877]) ).
fof(f2520,plain,
( spl11_51
| ~ spl11_37 ),
inference(avatar_split_clause,[],[f2519,f659,f926]) ).
fof(f2524,plain,
( ~ setIn(sK9,alive)
| spl11_3
| ~ spl11_51 ),
inference(superposition,[],[f278,f928]) ).
fof(f2567,plain,
( $false
| spl11_3
| ~ spl11_51 ),
inference(forward_subsumption_resolution,[],[f2524,f240]) ).
fof(f2568,plain,
( spl11_3
| ~ spl11_51 ),
inference(avatar_contradiction_clause,[],[f2567]) ).
fof(f2636,plain,
( host(sK7) != host(sK7)
| ~ spl11_1
| ~ spl11_38 ),
inference(resolution,[],[f682,f665]) ).
fof(f2637,plain,
( $false
| ~ spl11_1
| ~ spl11_38 ),
inference(trivial_inequality_removal,[],[f2636]) ).
fof(f2638,plain,
( ~ spl11_1
| ~ spl11_38 ),
inference(avatar_contradiction_clause,[],[f2637]) ).
fof(f2658,plain,
! [X0] :
( leq(index(pendack,host(sK9)),host(X0))
| host(X0) != index(ldr,host(X0))
| norm != index(status,host(X0))
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| elec_2 != index(status,host(sK5)) ),
inference(forward_demodulation,[],[f367,f232]) ).
fof(f2680,plain,
! [X0] :
( leq(host(sK7),host(X0))
| host(X0) != index(ldr,host(X0))
| norm != index(status,host(X0))
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| elec_2 != index(status,host(sK5)) ),
inference(forward_demodulation,[],[f2658,f235]) ).
fof(f2694,plain,
! [X0] :
( elec_2 != index(status,host(sK9))
| leq(host(sK7),host(X0))
| host(X0) != index(ldr,host(X0))
| norm != index(status,host(X0))
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive) ),
inference(forward_demodulation,[],[f2680,f232]) ).
fof(f2696,plain,
! [X0] :
( leq(host(sK7),host(X0))
| host(X0) != index(ldr,host(X0))
| norm != index(status,host(X0))
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[],[f2694,f236]) ).
fof(f2699,definition,
( spl11_194
<=> ! [X0] :
( leq(host(sK7),host(X0))
| ~ setIn(X0,alive)
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl11_194])],[avatar_definition]) ).
fof(f2700,plain,
( ! [X0] :
( leq(host(sK7),host(X0))
| ~ setIn(X0,alive)
| norm != index(status,host(X0))
| host(X0) != index(ldr,host(X0)) )
| ~ spl11_194 ),
inference(avatar_component_clause,[],[f2699]) ).
fof(f2701,plain,
( ~ spl11_3
| spl11_194 ),
inference(avatar_split_clause,[],[f2696,f2699,f276]) ).
fof(f3056,plain,
( m_Ack(sK9,sK7) = m_Ack(sK9,sK4)
| ~ spl11_37
| ~ spl11_51 ),
inference(forward_demodulation,[],[f661,f928]) ).
fof(f3070,plain,
( ! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK9,sK4)
| sK7 = X1 )
| ~ spl11_37
| ~ spl11_51 ),
inference(superposition,[],[f152,f3056]) ).
fof(f3102,plain,
( sK4 = sK7
| ~ spl11_37
| ~ spl11_51 ),
inference(equality_resolution,[],[f3070]) ).
fof(f3378,plain,
( ! [X0] :
( host(sK4) = X0
| nbr_proc = X0
| ~ leq(X0,nbr_proc)
| ~ leq(host(sK7),X0) )
| ~ spl11_37
| ~ spl11_51 ),
inference(forward_demodulation,[],[f1640,f3102]) ).
fof(f3379,plain,
( ! [X0] :
( ~ leq(host(sK4),X0)
| host(sK4) = X0
| nbr_proc = X0
| ~ leq(X0,nbr_proc) )
| ~ spl11_37
| ~ spl11_51 ),
inference(forward_demodulation,[],[f3378,f3102]) ).
fof(f3632,plain,
( ! [X0] :
( host(X0) != index(ldr,host(X0))
| ~ setIn(X0,alive)
| norm != index(status,host(X0))
| leq(host(sK4),host(X0)) )
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(forward_demodulation,[],[f2700,f3102]) ).
fof(f3639,plain,
( host(sK6) != host(sK6)
| ~ setIn(sK6,alive)
| norm != index(status,host(sK6))
| leq(host(sK4),host(sK6))
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(superposition,[],[f3632,f242]) ).
fof(f3640,plain,
( ~ setIn(sK6,alive)
| norm != index(status,host(sK6))
| leq(host(sK4),host(sK6))
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(trivial_inequality_removal,[],[f3639]) ).
fof(f3641,plain,
( norm != index(status,host(sK6))
| leq(host(sK4),host(sK6))
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(forward_subsumption_resolution,[],[f3640,f243]) ).
fof(f3643,plain,
( leq(host(sK4),host(sK6))
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(forward_subsumption_resolution,[],[f3641,f241]) ).
fof(f3746,plain,
( host(sK6) = host(sK4)
| nbr_proc = host(sK6)
| ~ leq(host(sK6),nbr_proc)
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(resolution,[],[f3643,f3379]) ).
fof(f3751,plain,
( nbr_proc = host(sK6)
| ~ leq(host(sK6),nbr_proc)
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(forward_subsumption_resolution,[],[f3746,f231]) ).
fof(f3761,plain,
( nbr_proc = host(sK6)
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(forward_subsumption_resolution,[],[f3751,f119]) ).
fof(f3763,definition,
( spl11_279
<=> nbr_proc = host(sK6) ),
introduced(definition,[new_symbols(definition,[spl11_279])],[avatar_definition]) ).
fof(f3765,plain,
( nbr_proc = host(sK6)
| ~ spl11_279 ),
inference(avatar_component_clause,[],[f3763]) ).
fof(f3767,plain,
( spl11_279
| ~ spl11_37
| ~ spl11_51
| ~ spl11_194 ),
inference(avatar_split_clause,[],[f3761,f2699,f926,f659,f3763]) ).
fof(f3770,plain,
( nbr_proc = index(ldr,nbr_proc)
| ~ spl11_279 ),
inference(superposition,[],[f242,f3765]) ).
fof(f3771,plain,
( norm = index(status,nbr_proc)
| ~ spl11_279 ),
inference(superposition,[],[f241,f3765]) ).
fof(f3802,plain,
( nbr_proc != nbr_proc
| nbr_proc != index(ldr,nbr_proc)
| norm != index(status,nbr_proc)
| ~ setIn(sK6,alive)
| ~ spl11_279 ),
inference(superposition,[],[f674,f3765]) ).
fof(f3819,plain,
( nbr_proc != index(ldr,nbr_proc)
| norm != index(status,nbr_proc)
| ~ setIn(sK6,alive)
| ~ spl11_279 ),
inference(trivial_inequality_removal,[],[f3802]) ).
fof(f3842,plain,
( nbr_proc != index(ldr,nbr_proc)
| norm != index(status,nbr_proc)
| ~ spl11_279 ),
inference(forward_subsumption_resolution,[],[f3819,f243]) ).
fof(f3854,definition,
( spl11_284
<=> norm = index(status,nbr_proc) ),
introduced(definition,[new_symbols(definition,[spl11_284])],[avatar_definition]) ).
fof(f3858,definition,
( spl11_285
<=> nbr_proc = index(ldr,nbr_proc) ),
introduced(definition,[new_symbols(definition,[spl11_285])],[avatar_definition]) ).
fof(f3861,plain,
( ~ spl11_284
| ~ spl11_285
| ~ spl11_279 ),
inference(avatar_split_clause,[],[f3842,f3763,f3858,f3854]) ).
fof(f3954,plain,
( spl11_285
| ~ spl11_279 ),
inference(avatar_split_clause,[],[f3770,f3763,f3858]) ).
fof(f3956,plain,
( spl11_284
| ~ spl11_279 ),
inference(avatar_split_clause,[],[f3771,f3763,f3854]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f263]) ).
cnf(s7,plain,
~ spl11_2,
inference(sat_conversion,[],[f320]) ).
cnf(s26,plain,
( spl11_37
| spl11_38 ),
inference(sat_conversion,[],[f666]) ).
cnf(s183,plain,
( ~ spl11_37
| spl11_51 ),
inference(sat_conversion,[],[f2520]) ).
cnf(s192,plain,
( spl11_3
| ~ spl11_51 ),
inference(sat_conversion,[],[f2568]) ).
cnf(s198,plain,
( ~ spl11_1
| ~ spl11_38 ),
inference(sat_conversion,[],[f2638]) ).
cnf(s216,plain,
( ~ spl11_3
| spl11_194 ),
inference(sat_conversion,[],[f2701]) ).
cnf(s354,plain,
( ~ spl11_37
| ~ spl11_51
| ~ spl11_194
| spl11_279 ),
inference(sat_conversion,[],[f3767]) ).
cnf(s357,plain,
( ~ spl11_279
| ~ spl11_284
| ~ spl11_285 ),
inference(sat_conversion,[],[f3861]) ).
cnf(s373,plain,
( ~ spl11_279
| spl11_285 ),
inference(sat_conversion,[],[f3954]) ).
cnf(s374,plain,
( ~ spl11_279
| spl11_284 ),
inference(sat_conversion,[],[f3956]) ).
cnf(s381,plain,
spl11_1,
inference(rat,[],[s1,s7]) ).
cnf(s382,plain,
~ spl11_38,
inference(rat,[],[s198,s381]) ).
cnf(s383,plain,
spl11_37,
inference(rat,[],[s26,s382]) ).
cnf(s384,plain,
spl11_51,
inference(rat,[],[s183,s383]) ).
cnf(s390,plain,
spl11_3,
inference(rat,[],[s192,s384]) ).
cnf(s398,plain,
spl11_194,
inference(rat,[],[s216,s390]) ).
cnf(s410,plain,
spl11_279,
inference(rat,[],[s354,s384,s383,s398]) ).
cnf(s411,plain,
spl11_284,
inference(rat,[],[s374,s410]) ).
cnf(s412,plain,
spl11_285,
inference(rat,[],[s373,s410]) ).
cnf(s415,plain,
$false,
inference(rat,[],[s357,s412,s411,s410]) ).
fof(f3957,plain,
$false,
inference(avatar_sat_refutation,[],[s415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV462+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n017.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 11:04:36 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.96/1.14 % (3479869)Detected formulas, will run a generic FOF schedule.
% 1.96/1.14 % (3479950)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3354364793:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.96/1.14 % (3479951)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1392896062:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.96/1.14 % (3479948)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1022472939:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.96/1.14 % (3479953)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2592184549:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.96/1.14 % (3479952)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1593597013:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.96/1.14 % (3479949)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1648856867:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.96/1.14 % (3479954)dis-21_1_sil=8000:lcm=predicate:random_seed=634522586:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.96/1.14 % (3479951)Instruction limit reached!
% 1.96/1.14 % (3479951)------------------------------
% 1.96/1.14 % (3479951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.14 % (3479951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.14 % (3479951)CaDiCaL version: 2.1.3
% 1.96/1.14 % (3479951)Termination reason: Instruction limit
% 1.96/1.14 % (3479951)Termination phase: Saturation
% 1.96/1.14 % (3479951)Time elapsed: 0.071 s
% 1.96/1.14 % (3479951)Peak memory usage: 89 MB
% 1.96/1.14 % (3479951)Instructions burned: 110 (million)
% 1.96/1.14 % (3479952)Instruction limit reached!
% 1.96/1.14 % (3479952)------------------------------
% 1.96/1.14 % (3479952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.14 % (3479952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.14 % (3479952)CaDiCaL version: 2.1.3
% 1.96/1.14 % (3479952)Termination reason: Instruction limit
% 1.96/1.14 % (3479952)Termination phase: Saturation
% 1.96/1.14 % (3479952)Time elapsed: 0.074 s
% 1.96/1.14 % (3479952)Peak memory usage: 88 MB
% 1.96/1.14 % (3479952)Instructions burned: 120 (million)
% 1.96/1.14 % (3479954)Instruction limit reached!
% 1.96/1.14 % (3479954)------------------------------
% 1.96/1.14 % (3479954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.14 % (3479954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.14 % (3479954)CaDiCaL version: 2.1.3
% 1.96/1.14 % (3479954)Termination reason: Instruction limit
% 1.96/1.14 % (3479954)Termination phase: Saturation
% 1.96/1.14 % (3479954)Time elapsed: 0.082 s
% 1.96/1.14 % (3479954)Peak memory usage: 89 MB
% 1.96/1.14 % (3479954)Instructions burned: 129 (million)
% 1.96/1.14 % (3479953)First to succeed.
% 1.96/1.14 % (3479953)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3479869"
% 1.96/1.14 % (3479962)lrs+10_1_sil=8000:sp=occurrence:random_seed=2766648611:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.96/1.14 % (3479963)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1548229457:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.96/1.14 % (3479964)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3204821517:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.96/1.14 % (3479963)Instruction limit reached!
% 1.96/1.14 % (3479963)------------------------------
% 1.96/1.14 % (3479963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.96/1.14 % (3479963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/1.14 % (3479963)CaDiCaL version: 2.1.3
% 1.96/1.14 % (3479963)Termination reason: Instruction limit
% 1.96/1.14 % (3479963)Termination phase: Saturation
% 1.96/1.14 % (3479963)Time elapsed: 0.092 s
% 1.96/1.14 % (3479963)Peak memory usage: 90 MB
% 1.96/1.14 % (3479963)Instructions burned: 157 (million)
% 1.96/1.14 % (3479964)Also succeeded, but the first one will report.
% 1.96/1.14 % (3479953)Refutation found. Thanks to Tanya!
% 1.96/1.14 % SZS status Theorem for theBenchmark
% 1.96/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.33 % (3479953)------------------------------
% 4.15/1.33 % (3479953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.33 % (3479953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.33 % (3479953)CaDiCaL version: 2.1.3
% 4.15/1.33 % (3479953)Termination reason: Refutation
% 4.15/1.33 % (3479953)Time elapsed: 0.092 s
% 4.15/1.33 % (3479953)Peak memory usage: 91 MB
% 4.15/1.33 % (3479953)Instructions burned: 132 (million)
% 4.15/1.33 % (3479953)------------------------------
% 4.15/1.33 % (3479953)------------------------------
% 4.15/1.33 % (3479869)Success in time 0.494 s
% 4.15/1.33 % Vampire exiting
%------------------------------------------------------------------------------