%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV469+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:24:21 PM UTC 2026
% Result : Theorem 0.06s 0.25s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 29 unt; 4 def)
% Number of atoms : 702 ( 287 equ)
% Maximal formula atoms : 108 ( 8 avg)
% Number of connectives : 961 ( 340 ~; 239 |; 294 &)
% ( 7 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 275 ( 2 sgn 263 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
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(f60,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(f61,axiom,
! [X0,X1] :
( leq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X5),queue(host(X4))) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( ~ leq(host(X5),host(X4))
& setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Down(X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& ~ leq(host(X5),host(X4))
& elem(m_Down(X6),queue(host(X5)))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X8] :
( host(X2) = host(X8)
=> ( ( ~ leq(s(host(X2)),host(X4))
& setIn(X8,alive) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X5),queue(host(X4))) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( ~ leq(host(X5),host(X4))
& setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Down(X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(X4))) ) )
& ! [X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& ~ leq(host(X5),host(X4))
& elem(m_Down(X6),queue(host(X5)))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X8] :
( host(X2) = host(X8)
=> ( ( ~ leq(s(host(X2)),host(X4))
& setIn(X8,alive) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( ( X6 != X7
& host(X6) = host(X7) )
=> ( ~ setIn(X6,alive)
| ~ setIn(X7,alive) ) )
& ! [X8,X9] :
( ( setIn(X9,alive)
& elec_2 = index(status,host(X9)) )
=> ~ elem(m_Ack(X8,X9),queue(host(X8))) )
& ! [X10] :
( ( ( elec_1 = index(status,host(X10))
| elec_2 = index(status,host(X10)) )
& setIn(X10,alive) )
=> index(elid,host(X10)) = X10 )
& ! [X11,X12] :
( ( setIn(X11,alive)
& setIn(X12,alive)
& setIn(host(X12),index(down,host(X11)))
& elec_2 = index(status,host(X12)) )
=> leq(index(pendack,host(X12)),host(X11)) )
& ! [X13,X14] :
( ( setIn(X14,alive)
& norm = index(status,host(X14))
& host(X14) = index(ldr,host(X14)) )
=> ~ ( setIn(X13,alive)
& setIn(host(X14),index(down,host(X13))) ) )
& ! [X15,X16,X17] :
( ( ~ leq(host(X17),host(X15))
& setIn(X15,alive)
& setIn(X17,alive)
& host(X17) = host(X16)
& elec_2 = index(status,host(X17)) )
=> ~ elem(m_Down(X16),queue(host(X15))) )
& ! [X18,X19] :
( ( ~ leq(host(X18),host(X19))
& setIn(X18,alive)
& setIn(X19,alive)
& elec_2 = index(status,host(X18))
& elec_2 = index(status,host(X19)) )
=> leq(index(pendack,host(X19)),host(X18)) )
& ! [X20,X21,X22] :
( ( setIn(X22,alive)
& elem(m_Ack(X22,X21),queue(host(X22)))
& host(X20) = host(X21) )
=> ~ ( setIn(X20,alive)
& host(X20) = index(ldr,host(X20))
& norm = index(status,host(X20)) ) )
& ! [X23,X24,X25] :
( ( setIn(X23,alive)
& setIn(X25,alive)
& host(X25) = host(X24)
& elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X25)) )
=> ~ elem(m_Ack(X23,X24),queue(host(X23))) )
& ! [X26,X27,X28] :
( ( setIn(X26,alive)
& setIn(X28,alive)
& elem(m_Down(X27),queue(host(X26)))
& host(X28) = host(X27)
& elec_2 = index(status,host(X28)) )
=> leq(index(pendack,host(X28)),host(X26)) )
& ! [X29,X30,X31] :
( ( setIn(X31,alive)
& host(X31) = host(X30)
& norm = index(status,host(X31))
& host(X31) = index(ldr,host(X31)) )
=> ~ ( setIn(X29,alive)
& elem(m_Down(X30),queue(host(X29))) ) )
& ! [X32,X33] :
( ( ~ leq(index(pendack,host(X33)),host(X32))
& setIn(X33,alive)
& elec_2 = index(status,host(X33)) )
=> ~ ( setIn(X32,alive)
& host(X32) = index(ldr,host(X32))
& norm = index(status,host(X32)) ) )
& ! [X34,X35] :
( ( ~ leq(host(X34),host(X35))
& setIn(X34,alive)
& setIn(X35,alive)
& elec_2 = index(status,host(X34))
& elec_2 = index(status,host(X35)) )
=> ~ leq(index(pendack,host(X34)),index(pendack,host(X35))) )
& ! [X36,X37,X38] :
( ( setIn(X38,alive)
& elem(m_Down(X37),queue(host(X38)))
& host(X36) = host(X37)
& elec_2 = index(status,host(X38)) )
=> ~ ( setIn(X36,alive)
& host(X36) = index(ldr,host(X36))
& norm = index(status,host(X36)) ) )
& ! [X39,X40,X41] :
( ( ! [X42] :
( ( ~ leq(host(X41),X42)
& leq(s(zero),X42) )
=> ( setIn(X42,index(down,host(X41)))
| host(X40) = X42 ) )
& ~ leq(host(X41),host(X39))
& elem(m_Down(X40),queue(host(X41)))
& elec_1 = index(status,host(X41)) )
=> ~ ( setIn(X39,alive)
& host(X39) = index(ldr,host(X39))
& norm = index(status,host(X39)) ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X43] :
( ( ~ leq(host(X2),X43)
& leq(s(zero),X43) )
=> ( setIn(X43,index(down,host(X2)))
| host(X3) = X43 ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X44] :
( host(X2) != host(X44)
=> ! [X45] :
( host(X2) = host(X45)
=> ( ( ~ leq(s(host(X2)),host(X44))
& setIn(X45,alive) )
=> ~ ( setIn(X44,alive)
& host(X44) = index(ldr,host(X44))
& norm = index(status,host(X44)) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( setIn(X44,alive)
& host(X44) = index(ldr,host(X44))
& norm = index(status,host(X44))
& ~ leq(s(host(X2)),host(X44))
& setIn(X45,alive)
& host(X2) = host(X45) )
& host(X2) != host(X44) )
& ~ leq(nbr_proc,host(X2))
& ! [X43] :
( setIn(X43,index(down,host(X2)))
| host(X3) = X43
| leq(host(X2),X43)
| ~ leq(s(zero),X43) )
& index(status,host(X2)) = elec_1
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| X6 = X7
| host(X6) != host(X7) )
& ! [X8,X9] :
( ~ elem(m_Ack(X8,X9),queue(host(X8)))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X9)) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| leq(host(X17),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19] :
( leq(index(pendack,host(X19)),host(X18))
| leq(host(X18),host(X19))
| ~ setIn(X18,alive)
| ~ setIn(X19,alive)
| elec_2 != index(status,host(X18))
| elec_2 != index(status,host(X19)) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| ~ setIn(X23,alive)
| ~ setIn(X25,alive)
| host(X25) != host(X24)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X25)) )
& ! [X26,X27,X28] :
( leq(index(pendack,host(X28)),host(X26))
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| ~ elem(m_Down(X27),queue(host(X26)))
| host(X28) != host(X27)
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X31,alive)
| host(X31) != host(X30)
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31)) )
& ! [X32,X33] :
( ~ setIn(X32,alive)
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| leq(index(pendack,host(X33)),host(X32))
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X33)) )
& ! [X34,X35] :
( ~ leq(index(pendack,host(X34)),index(pendack,host(X35)))
| leq(host(X34),host(X35))
| ~ setIn(X34,alive)
| ~ setIn(X35,alive)
| elec_2 != index(status,host(X34))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38] :
( ~ setIn(X36,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X38,alive)
| ~ elem(m_Down(X37),queue(host(X38)))
| host(X36) != host(X37)
| elec_2 != index(status,host(X38)) )
& ! [X39,X40,X41] :
( ~ setIn(X39,alive)
| host(X39) != index(ldr,host(X39))
| norm != index(status,host(X39))
| ? [X42] :
( ~ setIn(X42,index(down,host(X41)))
& host(X40) != X42
& ~ leq(host(X41),X42)
& leq(s(zero),X42) )
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( setIn(X44,alive)
& host(X44) = index(ldr,host(X44))
& norm = index(status,host(X44))
& ~ leq(s(host(X2)),host(X44))
& setIn(X45,alive)
& host(X2) = host(X45) )
& host(X2) != host(X44) )
& ~ leq(nbr_proc,host(X2))
& ! [X43] :
( setIn(X43,index(down,host(X2)))
| host(X3) = X43
| leq(host(X2),X43)
| ~ leq(s(zero),X43) )
& index(status,host(X2)) = elec_1
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| X6 = X7
| host(X6) != host(X7) )
& ! [X8,X9] :
( ~ elem(m_Ack(X8,X9),queue(host(X8)))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X9)) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( ~ elem(m_Down(X16),queue(host(X15)))
| leq(host(X17),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19] :
( leq(index(pendack,host(X19)),host(X18))
| leq(host(X18),host(X19))
| ~ setIn(X18,alive)
| ~ setIn(X19,alive)
| elec_2 != index(status,host(X18))
| elec_2 != index(status,host(X19)) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| ~ setIn(X23,alive)
| ~ setIn(X25,alive)
| host(X25) != host(X24)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X25)) )
& ! [X26,X27,X28] :
( leq(index(pendack,host(X28)),host(X26))
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| ~ elem(m_Down(X27),queue(host(X26)))
| host(X28) != host(X27)
| elec_2 != index(status,host(X28)) )
& ! [X29,X30,X31] :
( ~ setIn(X29,alive)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X31,alive)
| host(X31) != host(X30)
| norm != index(status,host(X31))
| host(X31) != index(ldr,host(X31)) )
& ! [X32,X33] :
( ~ setIn(X32,alive)
| host(X32) != index(ldr,host(X32))
| norm != index(status,host(X32))
| leq(index(pendack,host(X33)),host(X32))
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X33)) )
& ! [X34,X35] :
( ~ leq(index(pendack,host(X34)),index(pendack,host(X35)))
| leq(host(X34),host(X35))
| ~ setIn(X34,alive)
| ~ setIn(X35,alive)
| elec_2 != index(status,host(X34))
| elec_2 != index(status,host(X35)) )
& ! [X36,X37,X38] :
( ~ setIn(X36,alive)
| host(X36) != index(ldr,host(X36))
| norm != index(status,host(X36))
| ~ setIn(X38,alive)
| ~ elem(m_Down(X37),queue(host(X38)))
| host(X36) != host(X37)
| elec_2 != index(status,host(X38)) )
& ! [X39,X40,X41] :
( ~ setIn(X39,alive)
| host(X39) != index(ldr,host(X39))
| norm != index(status,host(X39))
| ? [X42] :
( ~ setIn(X42,index(down,host(X41)))
& host(X40) != X42
& ~ leq(host(X41),X42)
& leq(s(zero),X42) )
| leq(host(X41),host(X39))
| ~ elem(m_Down(X40),queue(host(X41)))
| elec_1 != index(status,host(X41)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f90,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f171,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f172,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
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(sK4) = host(sK8),
inference(cnf_transformation,[],[f86]) ).
fof(f184,plain,
setIn(sK8,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
~ leq(s(host(sK4)),host(sK6)),
inference(cnf_transformation,[],[f86]) ).
fof(f186,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f86]) ).
fof(f188,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f195,plain,
host(sK4) != host(sK6),
inference(cnf_transformation,[],[f86]) ).
fof(f196,plain,
! [X43] :
( ~ leq(s(zero),X43)
| leq(host(sK4),X43)
| host(sK5) = X43
| setIn(X43,index(down,host(sK4))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f201,plain,
! [X14,X13] :
( host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| ~ setIn(X14,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X13,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f207,plain,
! [X31,X29,X30] :
( ~ elem(m_Down(X30),queue(host(X29)))
| norm != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| host(X31) != index(ldr,host(X31))
| ~ setIn(X29,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f213,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f224,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f141]) ).
fof(f231,plain,
! [X0] : ~ leq(s(zero),host(X0)),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f247,plain,
! [X0] : ~ leq(X0,X0),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f248,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f251,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f257,plain,
! [X0,X1] :
( leq(X0,s(X1))
| s(X1) = X0
| ~ leq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f267,plain,
! [X43] :
( setIn(X43,index(down,host(sK4)))
| ~ leq(host(sK4),X43)
| host(sK5) = X43
| leq(s(zero),X43) ),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f272,plain,
leq(s(host(sK4)),host(sK6)),
inference(consistent_polarity_flipping,[],[f185]) ).
fof(f363,plain,
! [X0] :
( host(sK6) != host(sK6)
| norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(superposition,[],[f201,f187]) ).
fof(f364,plain,
! [X0] :
( norm != index(status,host(sK6))
| ~ setIn(sK6,alive)
| ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f365,plain,
! [X0] :
( ~ setIn(sK6,alive)
| ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[],[f364,f186]) ).
fof(f367,plain,
! [X0] :
( ~ setIn(host(sK6),index(down,host(X0)))
| ~ setIn(X0,alive) ),
inference(forward_subsumption_resolution,[],[f365,f188]) ).
fof(f388,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| norm != index(status,host(X1))
| host(X0) != host(X1)
| ~ setIn(X1,alive)
| host(X1) != index(ldr,host(X1))
| ~ setIn(sK8,alive) ),
inference(superposition,[],[f207,f183]) ).
fof(f389,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| norm != index(status,host(X1))
| host(X0) != host(X1)
| ~ setIn(X1,alive)
| host(X1) != index(ldr,host(X1)) ),
inference(forward_subsumption_resolution,[],[f388,f184]) ).
fof(f401,plain,
( ~ setIn(host(sK6),index(down,host(sK4)))
| ~ setIn(sK8,alive) ),
inference(superposition,[],[f367,f183]) ).
fof(f402,plain,
~ setIn(host(sK6),index(down,host(sK4))),
inference(forward_subsumption_resolution,[],[f401,f184]) ).
fof(f409,definition,
( spl9_17
<=> host(sK6) = host(sK5) ),
introduced(definition,[new_symbols(definition,[spl9_17])],[avatar_definition]) ).
fof(f410,plain,
( host(sK6) != host(sK5)
| spl9_17 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f413,definition,
( spl9_18
<=> leq(host(sK4),host(sK6)) ),
introduced(definition,[new_symbols(definition,[spl9_18])],[avatar_definition]) ).
fof(f417,plain,
( ~ leq(host(sK4),host(sK6))
| host(sK6) = host(sK5)
| leq(s(zero),host(sK6)) ),
inference(resolution,[],[f402,f267]) ).
fof(f472,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f224,f213]) ).
fof(f474,plain,
! [X0] :
( host(X0) != index(ldr,host(X0))
| host(X0) != host(sK5)
| ~ setIn(X0,alive)
| norm != index(status,host(X0)) ),
inference(resolution,[],[f472,f389]) ).
fof(f489,plain,
( host(sK6) != host(sK6)
| host(sK6) != host(sK5)
| ~ setIn(sK6,alive)
| norm != index(status,host(sK6)) ),
inference(superposition,[],[f474,f187]) ).
fof(f490,plain,
( host(sK6) != host(sK5)
| ~ setIn(sK6,alive)
| norm != index(status,host(sK6)) ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f491,plain,
( host(sK6) != host(sK5)
| norm != index(status,host(sK6)) ),
inference(forward_subsumption_resolution,[],[f490,f188]) ).
fof(f492,plain,
host(sK6) != host(sK5),
inference(forward_subsumption_resolution,[],[f491,f186]) ).
fof(f493,plain,
~ spl9_17,
inference(avatar_split_clause,[],[f492,f409]) ).
fof(f509,plain,
~ leq(host(sK6),s(host(sK4))),
inference(resolution,[],[f248,f272]) ).
fof(f719,plain,
( s(host(sK4)) = host(sK6)
| ~ leq(host(sK6),host(sK4)) ),
inference(resolution,[],[f257,f509]) ).
fof(f727,definition,
( spl9_32
<=> leq(host(sK6),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl9_32])],[avatar_definition]) ).
fof(f729,plain,
( ~ leq(host(sK6),host(sK4))
| spl9_32 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f731,definition,
( spl9_33
<=> s(host(sK4)) = host(sK6) ),
introduced(definition,[new_symbols(definition,[spl9_33])],[avatar_definition]) ).
fof(f733,plain,
( s(host(sK4)) = host(sK6)
| ~ spl9_33 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f734,plain,
( ~ spl9_32
| spl9_33 ),
inference(avatar_split_clause,[],[f719,f731,f727]) ).
fof(f784,plain,
( leq(host(sK4),host(sK6))
| host(sK4) = host(sK6)
| spl9_32 ),
inference(resolution,[],[f729,f251]) ).
fof(f793,plain,
( ~ leq(host(sK4),host(sK6))
| leq(s(zero),host(sK6))
| spl9_17 ),
inference(forward_subsumption_resolution,[],[f417,f410]) ).
fof(f794,plain,
( leq(host(sK4),host(sK6))
| spl9_32 ),
inference(forward_subsumption_resolution,[],[f784,f195]) ).
fof(f796,plain,
( ~ leq(host(sK4),host(sK6))
| spl9_17 ),
inference(forward_subsumption_resolution,[],[f793,f231]) ).
fof(f797,plain,
( spl9_18
| spl9_32 ),
inference(avatar_split_clause,[],[f794,f727,f413]) ).
fof(f798,plain,
( ~ spl9_18
| spl9_17 ),
inference(avatar_split_clause,[],[f796,f409,f413]) ).
fof(f826,plain,
( leq(host(sK6),host(sK6))
| ~ spl9_33 ),
inference(superposition,[],[f272,f733]) ).
fof(f837,plain,
( $false
| ~ spl9_33 ),
inference(forward_subsumption_resolution,[],[f826,f247]) ).
fof(f838,plain,
~ spl9_33,
inference(avatar_contradiction_clause,[],[f837]) ).
cnf(s16,plain,
~ spl9_17,
inference(sat_conversion,[],[f493]) ).
cnf(s26,plain,
( ~ spl9_32
| spl9_33 ),
inference(sat_conversion,[],[f734]) ).
cnf(s30,plain,
( spl9_18
| spl9_32 ),
inference(sat_conversion,[],[f797]) ).
cnf(s32,plain,
( spl9_17
| ~ spl9_18 ),
inference(sat_conversion,[],[f798]) ).
cnf(s33,plain,
~ spl9_33,
inference(sat_conversion,[],[f838]) ).
cnf(s34,plain,
~ spl9_32,
inference(rat,[],[s26,s33]) ).
cnf(s35,plain,
spl9_18,
inference(rat,[],[s30,s34]) ).
cnf(s36,plain,
spl9_17,
inference(rat,[],[s32,s35]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s16,s36]) ).
fof(f839,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV469+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17 % Computer : n005.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 11:10:02 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20 Running first-order model finding
% 0.06/0.20 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
% 0.06/0.25 % (724145)Will run a generic schedule for satisfiability detection.
% 0.06/0.25 % (724151)% WARNING: option uhcvi not known.
% 0.06/0.25 % (724153)dis+10_1_sil=32000:sp=arity:random_seed=695623899:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.25 % (724155)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1031993645:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.25 % (724150)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2943137168_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.25 % (724152)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2639222318:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.25 % (724154)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1483397836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.25 % (724156)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1362916189:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.25 % (724151)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=317091962:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.25 % (724151) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-724145-724151"...
% 0.06/0.25 % Detected minimum model sizes of [4]
% 0.06/0.25 % Detected maximum model sizes of [max]
% 0.06/0.25 % TRYING [4]
% 0.06/0.25 % (724151)...printing done.
% 0.06/0.25 % (724151)Refutation found. Thanks to Tanya!
% 0.06/0.25 % SZS status Theorem for theBenchmark
% 0.06/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.25 % (724151)------------------------------
% 0.06/0.25 % (724151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.25 % (724151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.25 % (724151)CaDiCaL version: 2.1.3
% 0.06/0.25 % (724151)Termination reason: Refutation
% 0.06/0.25 % (724151)Time elapsed: 0.016 s
% 0.06/0.25 % (724151)Peak memory usage: 13 MB
% 0.06/0.25 % (724151)Instructions burned: 42 (million)
% 0.06/0.25 % (724145)Success in time 0.048 s
% 0.06/0.25 % Vampire exiting
%------------------------------------------------------------------------------