%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV468+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : 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 01:24:21 PM UTC 2026
% Result : Theorem 0.10s 0.31s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 34 unt; 5 def)
% Number of atoms : 709 ( 272 equ)
% Maximal formula atoms : 109 ( 8 avg)
% Number of connectives : 947 ( 320 ~; 240 |; 296 &)
% ( 7 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% Number of variables : 280 ( 2 sgn 266 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
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] :
( ~ setIn(host(X4),setEmpty)
=> ! [X7] :
( host(X2) = host(X7)
=> ! [X8] :
( host(X2) != host(X8)
=> ( ( ~ leq(index(pendack,host(X8)),host(X7))
& setIn(X8,alive)
& index(status,host(X8)) = elec_2 )
=> ~ ( setIn(X7,alive)
& host(X2) = host(X7) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( 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] :
( ~ setIn(host(X4),setEmpty)
=> ! [X7] :
( host(X2) = host(X7)
=> ! [X8] :
( host(X2) != host(X8)
=> ( ( ~ leq(index(pendack,host(X8)),host(X7))
& setIn(X8,alive)
& index(status,host(X8)) = elec_2 )
=> ~ ( setIn(X7,alive)
& host(X2) = host(X7) ) ) ) ) ) ) ) ) ) ) ),
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] :
( ~ setIn(host(X44),setEmpty)
=> ! [X45] :
( host(X2) = host(X45)
=> ! [X46] :
( host(X2) != host(X46)
=> ( ( ~ leq(index(pendack,host(X46)),host(X45))
& setIn(X46,alive)
& elec_2 = index(status,host(X46)) )
=> ~ ( setIn(X45,alive)
& host(X2) = host(X45) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X44] :
( ? [X45] :
( ? [X46] :
( setIn(X45,alive)
& host(X2) = host(X45)
& ~ leq(index(pendack,host(X46)),host(X45))
& setIn(X46,alive)
& elec_2 = index(status,host(X46))
& host(X2) != host(X46) )
& host(X2) = host(X45) )
& ~ setIn(host(X44),setEmpty) )
& 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] :
( ? [X46] :
( setIn(X45,alive)
& host(X2) = host(X45)
& ~ leq(index(pendack,host(X46)),host(X45))
& setIn(X46,alive)
& elec_2 = index(status,host(X46))
& host(X2) != host(X46) )
& host(X2) = host(X45) )
& ~ setIn(host(X44),setEmpty) )
& 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(f92,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f141,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f173,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f183,plain,
host(sK4) != host(sK9),
inference(cnf_transformation,[],[f86]) ).
fof(f184,plain,
elec_2 = index(status,host(sK9)),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
setIn(sK9,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f186,plain,
~ leq(index(pendack,host(sK9)),host(sK8)),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
host(sK4) = host(sK8),
inference(cnf_transformation,[],[f86]) ).
fof(f197,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,
! [X11,X12] :
( elec_2 != index(status,host(X12))
| ~ setIn(host(X12),index(down,host(X11)))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| leq(index(pendack,host(X12)),host(X11)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f207,plain,
! [X28,X26,X27] :
( elec_2 != index(status,host(X28))
| host(X28) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| leq(index(pendack,host(X28)),host(X26)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f214,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f215,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f218,plain,
leq(nbr_proc,host(sK4)),
inference(cnf_transformation,[],[f86]) ).
fof(f225,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f141]) ).
fof(f234,plain,
! [X0] : ~ leq(s(zero),host(X0)),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f236,plain,
! [X0] : ~ leq(host(X0),nbr_proc),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f239,plain,
! [X2,X1] : ~ elem(X1,cons(X1,X2)),
inference(consistent_polarity_flipping,[],[f225]) ).
fof(f273,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f281,plain,
~ leq(nbr_proc,host(sK4)),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f283,plain,
~ setIn(sK4,alive),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f288,plain,
! [X28,X26,X27] :
( elec_2 != index(status,host(X28))
| host(X28) != host(X27)
| elem(m_Down(X27),queue(host(X26)))
| setIn(X28,alive)
| setIn(X26,alive)
| ~ leq(index(pendack,host(X28)),host(X26)) ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f294,plain,
! [X11,X12] :
( elec_2 != index(status,host(X12))
| setIn(host(X12),index(down,host(X11)))
| setIn(X12,alive)
| setIn(X11,alive)
| ~ leq(index(pendack,host(X12)),host(X11)) ),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f298,plain,
! [X43] :
( ~ setIn(X43,index(down,host(sK4)))
| ~ leq(host(sK4),X43)
| host(sK5) = X43
| leq(s(zero),X43) ),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f307,plain,
leq(index(pendack,host(sK9)),host(sK8)),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f308,plain,
~ setIn(sK9,alive),
inference(consistent_polarity_flipping,[],[f185]) ).
fof(f327,plain,
leq(index(pendack,host(sK9)),host(sK4)),
inference(forward_demodulation,[],[f307,f187]) ).
fof(f405,plain,
! [X0] :
( elec_2 != elec_2
| setIn(host(sK9),index(down,host(X0)))
| setIn(sK9,alive)
| setIn(X0,alive)
| ~ leq(index(pendack,host(sK9)),host(X0)) ),
inference(superposition,[],[f294,f184]) ).
fof(f407,plain,
! [X0] :
( setIn(host(sK9),index(down,host(X0)))
| setIn(sK9,alive)
| setIn(X0,alive)
| ~ leq(index(pendack,host(sK9)),host(X0)) ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f408,plain,
! [X0] :
( ~ leq(index(pendack,host(sK9)),host(X0))
| setIn(X0,alive)
| setIn(host(sK9),index(down,host(X0))) ),
inference(forward_subsumption_resolution,[],[f407,f308]) ).
fof(f429,plain,
! [X0,X1] :
( elec_2 != elec_2
| host(X0) != host(sK9)
| elem(m_Down(X0),queue(host(X1)))
| setIn(sK9,alive)
| setIn(X1,alive)
| ~ leq(index(pendack,host(sK9)),host(X1)) ),
inference(superposition,[],[f288,f184]) ).
fof(f431,plain,
! [X0,X1] :
( host(X0) != host(sK9)
| elem(m_Down(X0),queue(host(X1)))
| setIn(sK9,alive)
| setIn(X1,alive)
| ~ leq(index(pendack,host(sK9)),host(X1)) ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f432,plain,
! [X0,X1] :
( ~ leq(index(pendack,host(sK9)),host(X1))
| elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive)
| host(X0) != host(sK9) ),
inference(forward_subsumption_resolution,[],[f431,f308]) ).
fof(f456,plain,
( setIn(sK4,alive)
| setIn(host(sK9),index(down,host(sK4))) ),
inference(resolution,[],[f408,f327]) ).
fof(f459,plain,
setIn(host(sK9),index(down,host(sK4))),
inference(forward_subsumption_resolution,[],[f456,f283]) ).
fof(f461,plain,
( ~ leq(host(sK4),host(sK9))
| host(sK9) = host(sK5)
| leq(s(zero),host(sK9)) ),
inference(resolution,[],[f459,f298]) ).
fof(f463,definition,
( spl10_15
<=> leq(s(zero),host(sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).
fof(f465,plain,
( leq(s(zero),host(sK9))
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f467,definition,
( spl10_16
<=> host(sK9) = host(sK5) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f471,definition,
( spl10_17
<=> leq(host(sK4),host(sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f474,plain,
( spl10_15
| spl10_16
| ~ spl10_17 ),
inference(avatar_split_clause,[],[f461,f471,f467,f463]) ).
fof(f479,definition,
( spl10_18
<=> ! [X0] :
( host(X0) != host(sK9)
| elem(m_Down(X0),queue(host(sK4))) ) ),
introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).
fof(f480,plain,
( ! [X0] :
( elem(m_Down(X0),queue(host(sK4)))
| host(X0) != host(sK9) )
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,definition,
( spl10_19
<=> leq(host(sK9),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition]) ).
fof(f483,plain,
( leq(host(sK9),host(sK4))
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( ~ leq(host(sK9),host(sK4))
| spl10_19 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f486,plain,
! [X0] :
( elem(m_Down(X0),queue(host(sK4)))
| setIn(sK4,alive)
| host(X0) != host(sK9) ),
inference(resolution,[],[f432,f327]) ).
fof(f489,plain,
! [X0] :
( elem(m_Down(X0),queue(host(sK4)))
| host(X0) != host(sK9) ),
inference(forward_subsumption_resolution,[],[f486,f283]) ).
fof(f491,plain,
spl10_18,
inference(avatar_split_clause,[],[f489,f479]) ).
fof(f515,plain,
~ elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f239,f214]) ).
fof(f516,plain,
( host(sK9) != host(sK5)
| ~ spl10_18 ),
inference(resolution,[],[f515,f480]) ).
fof(f517,plain,
( ~ spl10_16
| ~ spl10_18 ),
inference(avatar_split_clause,[],[f516,f479,f467]) ).
fof(f565,plain,
! [X0] :
( leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f273,f236]) ).
fof(f570,plain,
( leq(host(sK4),host(sK9))
| host(sK4) = host(sK9)
| spl10_19 ),
inference(resolution,[],[f273,f484]) ).
fof(f597,plain,
( $false
| ~ spl10_15 ),
inference(forward_subsumption_resolution,[],[f465,f234]) ).
fof(f598,plain,
~ spl10_15,
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f599,plain,
( leq(host(sK4),host(sK9))
| spl10_19 ),
inference(forward_subsumption_resolution,[],[f570,f183]) ).
fof(f601,plain,
( spl10_17
| spl10_19 ),
inference(avatar_split_clause,[],[f599,f482,f471]) ).
fof(f931,plain,
nbr_proc = host(sK4),
inference(resolution,[],[f565,f281]) ).
fof(f949,plain,
( leq(host(sK9),nbr_proc)
| ~ spl10_19 ),
inference(superposition,[],[f483,f931]) ).
fof(f1016,plain,
( $false
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f949,f236]) ).
fof(f1017,plain,
~ spl10_19,
inference(avatar_contradiction_clause,[],[f1016]) ).
cnf(s13,plain,
( spl10_15
| spl10_16
| ~ spl10_17 ),
inference(sat_conversion,[],[f474]) ).
cnf(s16,plain,
spl10_18,
inference(sat_conversion,[],[f491]) ).
cnf(s18,plain,
( ~ spl10_16
| ~ spl10_18 ),
inference(sat_conversion,[],[f517]) ).
cnf(s23,plain,
~ spl10_15,
inference(sat_conversion,[],[f598]) ).
cnf(s24,plain,
( spl10_17
| spl10_19 ),
inference(sat_conversion,[],[f601]) ).
cnf(s37,plain,
~ spl10_19,
inference(sat_conversion,[],[f1017]) ).
cnf(s54,plain,
spl10_17,
inference(rat,[],[s24,s37]) ).
cnf(s56,plain,
~ spl10_16,
inference(rat,[],[s18,s16]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s13,s54,s56,s23]) ).
fof(f1098,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV468+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n017.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 11:05:36 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % (3481090)Will run a generic schedule for satisfiability detection.
% 0.10/0.31 % (3481095)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1791800722_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.31 % (3481096)% WARNING: option uhcvi not known.
% 0.10/0.31 % (3481098)dis+10_1_sil=32000:sp=arity:random_seed=1511497418:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.31 % (3481099)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4056446191:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.31 % (3481097)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2140523826:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.31 % Detected minimum model sizes of [4]
% 0.10/0.31 % Detected maximum model sizes of [max]
% 0.10/0.31 % TRYING [4]
% 0.10/0.31 % (3481101)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3545752711:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.31 % (3481096)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2255318452:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.31 % (3481100)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2092705127:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.31 % TRYING [5]
% 0.10/0.31 % (3481096) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3481090-3481096"...
% 0.10/0.31 % (3481096)...printing done.
% 0.10/0.31 % (3481096)Refutation found. Thanks to Tanya!
% 0.10/0.31 % SZS status Theorem for theBenchmark
% 0.10/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.31 % (3481096)------------------------------
% 0.10/0.31 % (3481096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.31 % (3481096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.31 % (3481096)CaDiCaL version: 2.1.3
% 0.10/0.31 % (3481096)Termination reason: Refutation
% 0.10/0.31 % (3481096)Time elapsed: 0.049 s
% 0.10/0.31 % (3481096)Peak memory usage: 13 MB
% 0.10/0.31 % (3481096)Instructions burned: 45 (million)
% 0.10/0.31 % (3481090)Success in time 0.094 s
% 0.10/0.31 % Vampire exiting
%------------------------------------------------------------------------------