%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV464+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:24:20 PM UTC 2026
% Result : Theorem 0.18s 0.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 61 ( 26 unt; 4 def)
% Number of atoms : 597 ( 250 equ)
% Maximal formula atoms : 91 ( 9 avg)
% Number of connectives : 838 ( 302 ~; 198 |; 264 &)
% ( 5 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 16 con; 0-2 aty)
% Number of variables : 274 ( 0 sgn 256 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_11) ).
fof(f18,axiom,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_17) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5))) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = nbr_proc
& host(X5) = host(X7)
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Ack(X5,X7),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X7) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( ~ leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4,X9,X10,X11] :
( s(index(pendack,host(X2))) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( setIn(X11,alive)
& leq(nbr_proc,s(index(pendack,host(X11))))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Halt(X2)))
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Halt(X2)))
& index(status,host(X11)) = elec_2
& host(X9) = index(pendack,host(X11))
& host(X10) = s(index(pendack,host(X11))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5))) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& host(X5) = host(X6)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( ~ leq(host(X4),host(X5))
& setIn(X4,alive)
& setIn(X5,alive)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_2 )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X4))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X6)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& elem(m_Down(X6),queue(host(X5)))
& host(X5) = nbr_proc
& host(X5) = host(X7)
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X4,X7,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Ack(X5,X7),queue(host(X5)))
& leq(nbr_proc,s(index(pendack,host(X5))))
& index(status,host(X5)) = elec_2
& host(X7) = index(pendack,host(X5))
& host(X6) = s(index(pendack,host(X5))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( ~ leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4,X9,X10,X11] :
( s(index(pendack,host(X2))) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( setIn(X11,alive)
& leq(nbr_proc,s(index(pendack,host(X11))))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Halt(X2)))
& elem(m_Ack(X11,X9),snoc(queue(host(X11)),m_Halt(X2)))
& index(status,host(X11)) = elec_2
& host(X9) = index(pendack,host(X11))
& host(X10) = s(index(pendack,host(X11))) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X8,X9] :
( elem(m_Halt(X9),queue(host(X8)))
=> ~ leq(host(X8),host(X9)) )
& ! [X10,X11,X12] :
( elem(m_Ack(X12,X10),queue(host(X11)))
=> ~ leq(host(X10),host(X12)) )
& ! [X13,X14] :
( ( X13 != X14
& host(X13) = host(X14) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X14,alive) ) )
& ! [X15,X16] :
( ( setIn(X16,alive)
& elem(m_Ack(X16,X15),queue(host(X16))) )
=> leq(host(X15),index(pendack,host(X16))) )
& ! [X17,X18] :
( ( setIn(X18,alive)
& elec_1 = index(status,host(X18)) )
=> ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X19] :
( ( ( elec_1 = index(status,host(X19))
| elec_2 = index(status,host(X19)) )
& setIn(X19,alive) )
=> index(elid,host(X19)) = X19 )
& ! [X20,X21,X22] :
( ( setIn(X22,alive)
& elem(m_Down(X21),queue(host(X22)))
& host(X20) = host(X21) )
=> ~ ( setIn(X20,alive)
& host(X20) = index(ldr,host(X20))
& norm = index(status,host(X20)) ) )
& ! [X23,X24] :
( ( ~ leq(host(X23),host(X24))
& setIn(X23,alive)
& setIn(X24,alive)
& elec_2 = index(status,host(X23))
& elec_2 = index(status,host(X24)) )
=> leq(index(pendack,host(X24)),host(X23)) )
& ! [X25,X26,X27] :
( ( setIn(X25,alive)
& setIn(X27,alive)
& host(X27) = host(X26)
& elec_2 = index(status,host(X25))
& elec_2 = index(status,host(X27)) )
=> ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [X28,X29] :
( ( ~ leq(host(X28),host(X29))
& setIn(X28,alive)
& setIn(X29,alive)
& elec_2 = index(status,host(X28))
& elec_2 = index(status,host(X29)) )
=> ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X30,X31,X32] :
( ( ~ leq(index(pendack,host(X32)),host(X30))
& setIn(X32,alive)
& elem(m_Halt(X32),queue(host(X31)))
& elec_2 = index(status,host(X32)) )
=> ~ ( setIn(X30,alive)
& host(X30) = index(ldr,host(X30))
& norm = index(status,host(X30)) ) )
& ! [X33,X34,X35,X36] :
( ( ! [X37] :
( ( ~ leq(host(X36),X37)
& leq(s(zero),X37) )
=> ( setIn(X37,index(down,host(X36)))
| host(X35) = X37 ) )
& elem(m_Down(X35),queue(host(X36)))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elec_1 = index(status,host(X36)) )
=> ~ ( setIn(X33,alive)
& elem(m_Down(X34),queue(host(X33))) ) )
& ! [X38,X39,X40,X41] :
( ( setIn(X41,alive)
& elem(m_Down(X40),queue(host(X41)))
& elem(m_Ack(X41,X39),queue(host(X41)))
& leq(nbr_proc,s(index(pendack,host(X41))))
& elec_2 = index(status,host(X41))
& index(pendack,host(X41)) = host(X39)
& s(index(pendack,host(X41))) = host(X40) )
=> ~ ( setIn(X38,alive)
& host(X38) = index(ldr,host(X38))
& norm = index(status,host(X38)) ) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( ~ leq(nbr_proc,index(pendack,host(X2)))
=> ! [X42,X43,X44,X45] :
( s(index(pendack,host(X2))) = host(X45)
=> ( host(X2) != host(X45)
=> ( ( setIn(X45,alive)
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44) )
=> ~ ( setIn(X42,alive)
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42)) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X1,X2,X3] :
( ? [X42,X43,X44,X45] :
( setIn(X42,alive)
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42))
& setIn(X45,alive)
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44)
& host(X2) != host(X45)
& s(index(pendack,host(X2))) = host(X45) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Halt(X9),queue(host(X8))) )
& ! [X10,X11,X12] :
( ~ leq(host(X10),host(X12))
| ~ elem(m_Ack(X12,X10),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X13) != host(X14) )
& ! [X15,X16] :
( leq(host(X15),index(pendack,host(X16)))
| ~ setIn(X16,alive)
| ~ elem(m_Ack(X16,X15),queue(host(X16))) )
& ! [X17,X18] :
( ~ elem(m_Ack(X18,X17),queue(host(X18)))
| ~ setIn(X18,alive)
| elec_1 != index(status,host(X18)) )
& ! [X19] :
( index(elid,host(X19)) = X19
| ( elec_1 != index(status,host(X19))
& elec_2 != index(status,host(X19)) )
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| leq(host(X23),host(X24))
| ~ setIn(X23,alive)
| ~ setIn(X24,alive)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26,X27] :
( ~ elem(m_Ack(X25,X26),queue(host(X25)))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X26)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29] :
( ~ leq(index(pendack,host(X28)),index(pendack,host(X29)))
| leq(host(X28),host(X29))
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31,X32] :
( ~ setIn(X30,alive)
| host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| leq(index(pendack,host(X32)),host(X30))
| ~ setIn(X32,alive)
| ~ elem(m_Halt(X32),queue(host(X31)))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35,X36] :
( ~ setIn(X33,alive)
| ~ elem(m_Down(X34),queue(host(X33)))
| ? [X37] :
( ~ setIn(X37,index(down,host(X36)))
& host(X35) != X37
& ~ leq(host(X36),X37)
& leq(s(zero),X37) )
| ~ elem(m_Down(X35),queue(host(X36)))
| nbr_proc != host(X36)
| host(X36) != host(X34)
| elec_1 != index(status,host(X36)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| elec_2 != index(status,host(X41))
| index(pendack,host(X41)) != host(X39)
| s(index(pendack,host(X41))) != host(X40) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( ? [X42,X43,X44,X45] :
( setIn(X42,alive)
& host(X42) = index(ldr,host(X42))
& norm = index(status,host(X42))
& setIn(X45,alive)
& leq(nbr_proc,s(index(pendack,host(X45))))
& elem(m_Down(X44),snoc(queue(host(X45)),m_Halt(X2)))
& elem(m_Ack(X45,X43),snoc(queue(host(X45)),m_Halt(X2)))
& elec_2 = index(status,host(X45))
& index(pendack,host(X45)) = host(X43)
& s(index(pendack,host(X45))) = host(X44)
& host(X2) != host(X45)
& s(index(pendack,host(X2))) = host(X45) )
& ~ leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ leq(host(X8),host(X9))
| ~ elem(m_Halt(X9),queue(host(X8))) )
& ! [X10,X11,X12] :
( ~ leq(host(X10),host(X12))
| ~ elem(m_Ack(X12,X10),queue(host(X11))) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14
| host(X13) != host(X14) )
& ! [X15,X16] :
( leq(host(X15),index(pendack,host(X16)))
| ~ setIn(X16,alive)
| ~ elem(m_Ack(X16,X15),queue(host(X16))) )
& ! [X17,X18] :
( ~ elem(m_Ack(X18,X17),queue(host(X18)))
| ~ setIn(X18,alive)
| elec_1 != index(status,host(X18)) )
& ! [X19] :
( index(elid,host(X19)) = X19
| ( elec_1 != index(status,host(X19))
& elec_2 != index(status,host(X19)) )
| ~ setIn(X19,alive) )
& ! [X20,X21,X22] :
( ~ setIn(X20,alive)
| host(X20) != index(ldr,host(X20))
| norm != index(status,host(X20))
| ~ setIn(X22,alive)
| ~ elem(m_Down(X21),queue(host(X22)))
| host(X20) != host(X21) )
& ! [X23,X24] :
( leq(index(pendack,host(X24)),host(X23))
| leq(host(X23),host(X24))
| ~ setIn(X23,alive)
| ~ setIn(X24,alive)
| elec_2 != index(status,host(X23))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26,X27] :
( ~ elem(m_Ack(X25,X26),queue(host(X25)))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| host(X27) != host(X26)
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X27)) )
& ! [X28,X29] :
( ~ leq(index(pendack,host(X28)),index(pendack,host(X29)))
| leq(host(X28),host(X29))
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X29)) )
& ! [X30,X31,X32] :
( ~ setIn(X30,alive)
| host(X30) != index(ldr,host(X30))
| norm != index(status,host(X30))
| leq(index(pendack,host(X32)),host(X30))
| ~ setIn(X32,alive)
| ~ elem(m_Halt(X32),queue(host(X31)))
| elec_2 != index(status,host(X32)) )
& ! [X33,X34,X35,X36] :
( ~ setIn(X33,alive)
| ~ elem(m_Down(X34),queue(host(X33)))
| ? [X37] :
( ~ setIn(X37,index(down,host(X36)))
& host(X35) != X37
& ~ leq(host(X36),X37)
& leq(s(zero),X37) )
| ~ elem(m_Down(X35),queue(host(X36)))
| nbr_proc != host(X36)
| host(X36) != host(X34)
| elec_1 != index(status,host(X36)) )
& ! [X38,X39,X40,X41] :
( ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38))
| norm != index(status,host(X38))
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| elec_2 != index(status,host(X41))
| index(pendack,host(X41)) != host(X39)
| s(index(pendack,host(X41))) != host(X40) )
& queue(host(X2)) = cons(m_Ack(X1,X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f99,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f12]) ).
fof(f105,plain,
! [X0,X1] : m_Halt(X1) != m_Down(X0),
inference(cnf_transformation,[],[f18]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f191,plain,
s(index(pendack,host(sK10))) = host(sK9),
inference(cnf_transformation,[],[f86]) ).
fof(f192,plain,
index(pendack,host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f86]) ).
fof(f193,plain,
elec_2 = index(status,host(sK10)),
inference(cnf_transformation,[],[f86]) ).
fof(f194,plain,
elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Halt(sK5))),
inference(cnf_transformation,[],[f86]) ).
fof(f195,plain,
elem(m_Down(sK9),snoc(queue(host(sK10)),m_Halt(sK5))),
inference(cnf_transformation,[],[f86]) ).
fof(f196,plain,
leq(nbr_proc,s(index(pendack,host(sK10)))),
inference(cnf_transformation,[],[f86]) ).
fof(f197,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f198,plain,
norm = index(status,host(sK7)),
inference(cnf_transformation,[],[f86]) ).
fof(f199,plain,
host(sK7) = index(ldr,host(sK7)),
inference(cnf_transformation,[],[f86]) ).
fof(f200,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f213,plain,
! [X40,X38,X41,X39] :
( s(index(pendack,host(X41))) != host(X40)
| index(pendack,host(X41)) != host(X39)
| elec_2 != index(status,host(X41))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ setIn(X41,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| ~ setIn(X38,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f233,plain,
leq(nbr_proc,host(sK9)),
inference(forward_demodulation,[],[f196,f191]) ).
fof(f235,definition,
( spl12_1
<=> ! [X38] :
( norm != index(status,host(X38))
| ~ setIn(X38,alive)
| host(X38) != index(ldr,host(X38)) ) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f236,plain,
( ! [X38] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38)) )
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,definition,
( spl12_2
<=> ! [X41,X40,X39] :
( s(index(pendack,host(X41))) != host(X40)
| ~ setIn(X41,alive)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| elec_2 != index(status,host(X41))
| index(pendack,host(X41)) != host(X39) ) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f239,plain,
( ! [X40,X41,X39] :
( ~ setIn(X41,alive)
| s(index(pendack,host(X41))) != host(X40)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| elec_2 != index(status,host(X41))
| index(pendack,host(X41)) != host(X39) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f213,f238,f235]) ).
fof(f452,plain,
( ! [X0,X1] :
( host(X0) != s(index(pendack,host(sK10)))
| ~ elem(m_Down(X0),queue(host(sK10)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK10)))
| ~ leq(nbr_proc,s(index(pendack,host(sK10))))
| elec_2 != index(status,host(sK10))
| host(X1) != index(pendack,host(sK10)) )
| ~ spl12_2 ),
inference(resolution,[],[f239,f197]) ).
fof(f457,plain,
( ! [X0,X1] :
( host(X0) != s(index(pendack,host(sK10)))
| ~ elem(m_Down(X0),queue(host(sK10)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK10)))
| ~ leq(nbr_proc,s(index(pendack,host(sK10))))
| host(X1) != index(pendack,host(sK10)) )
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f452,f193]) ).
fof(f459,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK10)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK10)))
| ~ leq(nbr_proc,s(index(pendack,host(sK10))))
| host(X1) != index(pendack,host(sK10)) )
| ~ spl12_2 ),
inference(forward_demodulation,[],[f457,f191]) ).
fof(f461,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK9))
| host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK10)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK10)))
| host(X1) != index(pendack,host(sK10)) )
| ~ spl12_2 ),
inference(forward_demodulation,[],[f459,f191]) ).
fof(f463,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK10)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK10)))
| host(X1) != index(pendack,host(sK10)) )
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f461,f233]) ).
fof(f475,plain,
( ! [X0,X1] :
( host(X1) != host(sK8)
| host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK10)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK10))) )
| ~ spl12_2 ),
inference(forward_demodulation,[],[f463,f192]) ).
fof(f477,definition,
( spl12_18
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK10))) ) ),
introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition]) ).
fof(f478,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10)))
| host(X0) != host(sK9) )
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f480,definition,
( spl12_19
<=> ! [X1] :
( host(X1) != host(sK8)
| ~ elem(m_Ack(sK10,X1),queue(host(sK10))) ) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
fof(f481,plain,
( ! [X1] :
( ~ elem(m_Ack(sK10,X1),queue(host(sK10)))
| host(X1) != host(sK8) )
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( spl12_18
| spl12_19
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f475,f238,f480,f477]) ).
fof(f877,plain,
( m_Halt(sK5) = m_Down(sK9)
| elem(m_Down(sK9),queue(host(sK10))) ),
inference(resolution,[],[f142,f195]) ).
fof(f878,plain,
( m_Ack(sK10,sK8) = m_Halt(sK5)
| elem(m_Ack(sK10,sK8),queue(host(sK10))) ),
inference(resolution,[],[f142,f194]) ).
fof(f882,plain,
elem(m_Ack(sK10,sK8),queue(host(sK10))),
inference(forward_subsumption_resolution,[],[f878,f99]) ).
fof(f883,plain,
elem(m_Down(sK9),queue(host(sK10))),
inference(forward_subsumption_resolution,[],[f877,f105]) ).
fof(f887,plain,
( host(sK9) != host(sK9)
| ~ spl12_18 ),
inference(resolution,[],[f883,f478]) ).
fof(f899,plain,
( $false
| ~ spl12_18 ),
inference(trivial_inequality_removal,[],[f887]) ).
fof(f900,plain,
~ spl12_18,
inference(avatar_contradiction_clause,[],[f899]) ).
fof(f1037,plain,
( host(sK8) != host(sK8)
| ~ spl12_19 ),
inference(resolution,[],[f481,f882]) ).
fof(f1038,plain,
( $false
| ~ spl12_19 ),
inference(trivial_inequality_removal,[],[f1037]) ).
fof(f1039,plain,
~ spl12_19,
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1044,plain,
( norm != index(status,host(sK7))
| host(sK7) != index(ldr,host(sK7))
| ~ spl12_1 ),
inference(resolution,[],[f236,f200]) ).
fof(f1047,plain,
( host(sK7) != index(ldr,host(sK7))
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f1044,f198]) ).
fof(f1049,plain,
( $false
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f1047,f199]) ).
fof(f1050,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f1049]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f240]) ).
cnf(s9,plain,
( ~ spl12_2
| spl12_18
| spl12_19 ),
inference(sat_conversion,[],[f482]) ).
cnf(s22,plain,
~ spl12_18,
inference(sat_conversion,[],[f900]) ).
cnf(s26,plain,
~ spl12_19,
inference(sat_conversion,[],[f1039]) ).
cnf(s27,plain,
~ spl12_1,
inference(sat_conversion,[],[f1050]) ).
cnf(s29,plain,
~ spl12_2,
inference(rat,[],[s9,s26,s22]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s1,s29,s27]) ).
fof(f1051,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV464+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n018.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 11:12:14 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 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
% 0.18/0.30 % (3305390)Will run a generic schedule for satisfiability detection.
% 0.18/0.30 % (3305400)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2511366529:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.30 % (3305396)% WARNING: option uhcvi not known.
% 0.18/0.30 % (3305395)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=463737172_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.30 % (3305396)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3914696366:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.30 % (3305397)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=685941056:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.30 % (3305398)dis+10_1_sil=32000:sp=arity:random_seed=3982971788:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.30 % (3305399)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=249358994:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.30 % (3305401)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4512099:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.30 % Detected minimum model sizes of [4]
% 0.18/0.30 % Detected maximum model sizes of [max]
% 0.18/0.30 % TRYING [4]
% 0.18/0.30 % (3305398) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3305390-3305398"...
% 0.18/0.30 % (3305399) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3305390-3305399"...
% 0.18/0.30 % (3305399)...printing done.
% 0.18/0.30 % (3305398)...printing done.
% 0.18/0.30 % (3305399)Refutation found. Thanks to Tanya!
% 0.18/0.30 % SZS status Theorem for theBenchmark
% 0.18/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30 % (3305399)------------------------------
% 0.18/0.30 % (3305399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30 % (3305399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30 % (3305399)CaDiCaL version: 2.1.3
% 0.18/0.30 % (3305399)Termination reason: Refutation
% 0.18/0.30 % (3305399)Time elapsed: 0.032 s
% 0.18/0.30 % (3305399)Peak memory usage: 13 MB
% 0.18/0.30 % (3305399)Instructions burned: 52 (million)
% 0.18/0.30 % (3305390)Success in time 0.074 s
% 0.18/0.30 % Vampire exiting
%------------------------------------------------------------------------------