%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV457+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:15:51 PM UTC 2026
% Result : Theorem 2.94s 1.11s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 89 ( 31 unt; 0 def)
% Number of atoms : 728 ( 288 equ)
% Maximal formula atoms : 72 ( 8 avg)
% Number of connectives : 1058 ( 419 ~; 302 |; 269 &)
% ( 3 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-2 aty)
% Number of variables : 377 ( 359 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f60,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f67,conjecture,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( ( ~ setIn(X3,alive)
& leq(X4,X3)
& host(X4) = host(X3) )
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( ( X4 != X3
& host(X4) = host(X3) )
=> ( ~ setIn(X3,alive)
| ~ setIn(X4,alive) ) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& elem(m_Ack(X4,X3),queue(host(X4))) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3] :
( ( ( index(status,host(X3)) = elec_1
| index(status,host(X3)) = elec_2 )
& setIn(X3,alive) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4,X5] :
( ( elem(m_Down(X3),queue(host(X4)))
& elem(m_Ack(X5,X4),queue(host(X5)))
& host(X5) = host(X3) )
=> ~ setIn(X5,alive) )
& ! [X3,X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Ack(X5,X3),queue(host(X5)))
& host(X4) = host(X3) )
=> ~ setIn(host(X5),index(down,host(X4))) )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5)))
& leq(nbr_proc,index(pendack,host(X5)))
& index(status,host(X5)) = elec_2
& host(X4) = index(pendack,host(X5)) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& queue(host(X1)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X3] :
( host(X1) != host(X3)
=> ! [X4,X6] :
( host(X2) = host(X6)
=> ( host(X1) != host(X6)
=> ( ( setIn(X6,alive)
& leq(nbr_proc,index(pendack,host(X6)))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& index(status,host(X6)) = elec_2
& host(X4) = index(pendack,host(X6)) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) )
& ! [X3,X4] :
( elem(m_Down(X4),queue(host(X3)))
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( elem(m_Ldr(X4),queue(host(X3)))
=> ~ leq(host(X3),host(X4)) )
& ! [X3,X4,X5] :
( elem(m_Ack(X5,X3),queue(host(X4)))
=> ~ leq(host(X3),host(X5)) )
& ! [X3,X4] :
( ( ~ setIn(X3,alive)
& leq(X4,X3)
& host(X4) = host(X3) )
=> ~ setIn(X4,alive) )
& ! [X3,X4] :
( ( X4 != X3
& host(X4) = host(X3) )
=> ( ~ setIn(X3,alive)
| ~ setIn(X4,alive) ) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& elem(m_Ack(X4,X3),queue(host(X4))) )
=> leq(host(X3),index(pendack,host(X4))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X3,X4),queue(host(X3))) )
& ! [X3,X4] :
( ( setIn(X4,alive)
& index(status,host(X4)) = elec_1 )
=> ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X3] :
( ( ( index(status,host(X3)) = elec_1
| index(status,host(X3)) = elec_2 )
& setIn(X3,alive) )
=> index(elid,host(X3)) = X3 )
& ! [X3,X4,X5] :
( ( elem(m_Down(X3),queue(host(X4)))
& elem(m_Ack(X5,X4),queue(host(X5)))
& host(X5) = host(X3) )
=> ~ setIn(X5,alive) )
& ! [X3,X4,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Ack(X5,X3),queue(host(X5)))
& host(X4) = host(X3) )
=> ~ setIn(host(X5),index(down,host(X4))) )
& ! [X3,X4] :
( ( ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& index(status,host(X3)) = elec_2
& index(status,host(X4)) = elec_2 )
=> ~ leq(index(pendack,host(X3)),index(pendack,host(X4))) )
& ! [X3,X4,X5] :
( ( ~ leq(index(pendack,host(X5)),host(X3))
& setIn(X5,alive)
& elem(m_Halt(X5),queue(host(X4)))
& index(status,host(X5)) = elec_2 )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& ! [X3,X4,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X4),queue(host(X5)))
& leq(nbr_proc,index(pendack,host(X5)))
& index(status,host(X5)) = elec_2
& host(X4) = index(pendack,host(X5)) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) )
& queue(host(X1)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X3] :
( host(X1) != host(X3)
=> ! [X4,X6] :
( host(X2) = host(X6)
=> ( host(X1) != host(X6)
=> ( ( setIn(X6,alive)
& leq(nbr_proc,index(pendack,host(X6)))
& elem(m_Ack(X6,X4),snoc(queue(host(X6)),m_Ack(X2,X1)))
& index(status,host(X6)) = elec_2
& host(X4) = index(pendack,host(X6)) )
=> ~ ( setIn(X3,alive)
& index(ldr,host(X3)) = host(X3)
& index(status,host(X3)) = norm ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X1,X2] :
( ( ! [X3,X4] :
( elem(m_Ack(X4,X3),queue(host(X4)))
=> setIn(X4,pids) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> ~ setIn(X6,alive) )
& ! [X7,X8] :
( elem(m_Ldr(X8),queue(host(X7)))
=> ~ leq(host(X7),host(X8)) )
& ! [X9,X10,X11] :
( elem(m_Ack(X11,X9),queue(host(X10)))
=> ~ leq(host(X9),host(X11)) )
& ! [X12,X13] :
( ( ~ setIn(X12,alive)
& leq(X13,X12)
& host(X13) = host(X12) )
=> ~ setIn(X13,alive) )
& ! [X14,X15] :
( ( X14 != X15
& host(X15) = host(X14) )
=> ( ~ setIn(X14,alive)
| ~ setIn(X15,alive) ) )
& ! [X16,X17] :
( ( setIn(X17,alive)
& elem(m_Ack(X17,X16),queue(host(X17))) )
=> leq(host(X16),index(pendack,host(X17))) )
& ! [X18,X19] :
( ( setIn(X19,alive)
& elec_1 = index(status,host(X19)) )
=> ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X20,X21] :
( ( setIn(X21,alive)
& elec_1 = index(status,host(X21)) )
=> ~ elem(m_Ack(X21,X20),queue(host(X21))) )
& ! [X22] :
( ( ( elec_1 = index(status,host(X22))
| elec_2 = index(status,host(X22)) )
& setIn(X22,alive) )
=> index(elid,host(X22)) = X22 )
& ! [X23,X24,X25] :
( ( elem(m_Down(X23),queue(host(X24)))
& elem(m_Ack(X25,X24),queue(host(X25)))
& host(X25) = host(X23) )
=> ~ setIn(X25,alive) )
& ! [X26,X27,X28] :
( ( setIn(X27,alive)
& setIn(X28,alive)
& elem(m_Ack(X28,X26),queue(host(X28)))
& host(X27) = host(X26) )
=> ~ setIn(host(X28),index(down,host(X27))) )
& ! [X29,X30] :
( ( ~ leq(host(X29),host(X30))
& setIn(X29,alive)
& setIn(X30,alive)
& elec_2 = index(status,host(X29))
& elec_2 = index(status,host(X30)) )
=> ~ leq(index(pendack,host(X29)),index(pendack,host(X30))) )
& ! [X31,X32,X33] :
( ( ~ leq(index(pendack,host(X33)),host(X31))
& setIn(X33,alive)
& elem(m_Halt(X33),queue(host(X32)))
& elec_2 = index(status,host(X33)) )
=> ~ ( setIn(X31,alive)
& host(X31) = index(ldr,host(X31))
& norm = index(status,host(X31)) ) )
& ! [X34,X35,X36] :
( ( setIn(X36,alive)
& elem(m_Ack(X36,X35),queue(host(X36)))
& leq(nbr_proc,index(pendack,host(X36)))
& elec_2 = index(status,host(X36))
& index(pendack,host(X36)) = host(X35) )
=> ~ ( setIn(X34,alive)
& host(X34) = index(ldr,host(X34))
& norm = index(status,host(X34)) ) )
& queue(host(X1)) = cons(m_Halt(X2),X0) )
=> ( setIn(X1,alive)
=> ! [X37] :
( host(X1) != host(X37)
=> ! [X38,X39] :
( host(X2) = host(X39)
=> ( host(X1) != host(X39)
=> ( ( setIn(X39,alive)
& leq(nbr_proc,index(pendack,host(X39)))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X39))
& index(pendack,host(X39)) = host(X38) )
=> ~ ( setIn(X37,alive)
& host(X37) = index(ldr,host(X37))
& norm = index(status,host(X37)) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ? [X37] :
( ? [X38,X39] :
( setIn(X37,alive)
& host(X37) = index(ldr,host(X37))
& norm = index(status,host(X37))
& setIn(X39,alive)
& leq(nbr_proc,index(pendack,host(X39)))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X39))
& index(pendack,host(X39)) = host(X38)
& host(X1) != host(X39)
& host(X2) = host(X39) )
& host(X1) != host(X37) )
& setIn(X1,alive)
& ! [X3,X4] :
( setIn(X4,pids)
| ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X5,X6] :
( ~ setIn(X6,alive)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| setIn(X12,alive)
| ~ leq(X13,X12)
| host(X13) != host(X12) )
& ! [X14,X15] :
( ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| X14 = X15
| host(X15) != host(X14) )
& ! [X16,X17] :
( leq(host(X16),index(pendack,host(X17)))
| ~ setIn(X17,alive)
| ~ elem(m_Ack(X17,X16),queue(host(X17))) )
& ! [X18,X19] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| ~ setIn(X19,alive)
| elec_1 != index(status,host(X19)) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ( elec_1 != index(status,host(X22))
& elec_2 != index(status,host(X22)) )
| ~ setIn(X22,alive) )
& ! [X23,X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| host(X25) != host(X23) )
& ! [X26,X27,X28] :
( ~ setIn(host(X28),index(down,host(X27)))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| ~ elem(m_Ack(X28,X26),queue(host(X28)))
| host(X27) != host(X26) )
& ! [X29,X30] :
( ~ leq(index(pendack,host(X29)),index(pendack,host(X30)))
| leq(host(X29),host(X30))
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X30)) )
& ! [X31,X32,X33] :
( ~ setIn(X31,alive)
| host(X31) != index(ldr,host(X31))
| norm != index(status,host(X31))
| leq(index(pendack,host(X33)),host(X31))
| ~ setIn(X33,alive)
| ~ elem(m_Halt(X33),queue(host(X32)))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Ack(X36,X35),queue(host(X36)))
| ~ leq(nbr_proc,index(pendack,host(X36)))
| elec_2 != index(status,host(X36))
| index(pendack,host(X36)) != host(X35) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X1,X2] :
( ? [X37] :
( ? [X38,X39] :
( setIn(X37,alive)
& host(X37) = index(ldr,host(X37))
& norm = index(status,host(X37))
& setIn(X39,alive)
& leq(nbr_proc,index(pendack,host(X39)))
& elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X39))
& index(pendack,host(X39)) = host(X38)
& host(X1) != host(X39)
& host(X2) = host(X39) )
& host(X1) != host(X37) )
& setIn(X1,alive)
& ! [X3,X4] :
( setIn(X4,pids)
| ~ elem(m_Ack(X4,X3),queue(host(X4))) )
& ! [X5,X6] :
( ~ setIn(X6,alive)
| ~ elem(m_Down(X6),queue(host(X5))) )
& ! [X7,X8] :
( ~ leq(host(X7),host(X8))
| ~ elem(m_Ldr(X8),queue(host(X7))) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| setIn(X12,alive)
| ~ leq(X13,X12)
| host(X13) != host(X12) )
& ! [X14,X15] :
( ~ setIn(X14,alive)
| ~ setIn(X15,alive)
| X14 = X15
| host(X15) != host(X14) )
& ! [X16,X17] :
( leq(host(X16),index(pendack,host(X17)))
| ~ setIn(X17,alive)
| ~ elem(m_Ack(X17,X16),queue(host(X17))) )
& ! [X18,X19] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| ~ setIn(X19,alive)
| elec_1 != index(status,host(X19)) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| elec_1 != index(status,host(X21)) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ( elec_1 != index(status,host(X22))
& elec_2 != index(status,host(X22)) )
| ~ setIn(X22,alive) )
& ! [X23,X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X23),queue(host(X24)))
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| host(X25) != host(X23) )
& ! [X26,X27,X28] :
( ~ setIn(host(X28),index(down,host(X27)))
| ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| ~ elem(m_Ack(X28,X26),queue(host(X28)))
| host(X27) != host(X26) )
& ! [X29,X30] :
( ~ leq(index(pendack,host(X29)),index(pendack,host(X30)))
| leq(host(X29),host(X30))
| ~ setIn(X29,alive)
| ~ setIn(X30,alive)
| elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X30)) )
& ! [X31,X32,X33] :
( ~ setIn(X31,alive)
| host(X31) != index(ldr,host(X31))
| norm != index(status,host(X31))
| leq(index(pendack,host(X33)),host(X31))
| ~ setIn(X33,alive)
| ~ elem(m_Halt(X33),queue(host(X32)))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Ack(X36,X35),queue(host(X36)))
| ~ leq(nbr_proc,index(pendack,host(X36)))
| elec_2 != index(status,host(X36))
| index(pendack,host(X36)) != host(X35) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f33]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f32]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( setIn(X3,alive)
& host(X3) = index(ldr,host(X3))
& norm = index(status,host(X3))
& setIn(X5,alive)
& leq(nbr_proc,index(pendack,host(X5)))
& elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(X2,X1)))
& elec_2 = index(status,host(X5))
& host(X4) = index(pendack,host(X5))
& host(X1) != host(X5)
& host(X2) = host(X5) )
& host(X1) != host(X3) )
& setIn(X1,alive)
& ! [X6,X7] :
( setIn(X7,pids)
| ~ elem(m_Ack(X7,X6),queue(host(X7))) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ elem(m_Down(X9),queue(host(X8))) )
& ! [X10,X11] :
( ~ leq(host(X10),host(X11))
| ~ elem(m_Ldr(X11),queue(host(X10))) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| setIn(X15,alive)
| ~ leq(X16,X15)
| host(X15) != host(X16) )
& ! [X17,X18] :
( ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18
| host(X17) != host(X18) )
& ! [X19,X20] :
( leq(host(X19),index(pendack,host(X20)))
| ~ setIn(X20,alive)
| ~ elem(m_Ack(X20,X19),queue(host(X20))) )
& ! [X21,X22] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| ~ setIn(X22,alive)
| elec_1 != index(status,host(X22)) )
& ! [X23,X24] :
( ~ elem(m_Ack(X24,X23),queue(host(X24)))
| ~ setIn(X24,alive)
| elec_1 != index(status,host(X24)) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ( elec_1 != index(status,host(X25))
& elec_2 != index(status,host(X25)) )
| ~ setIn(X25,alive) )
& ! [X26,X27,X28] :
( ~ setIn(X28,alive)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| host(X28) != host(X26) )
& ! [X29,X30,X31] :
( ~ setIn(host(X31),index(down,host(X30)))
| ~ setIn(X30,alive)
| ~ setIn(X31,alive)
| ~ elem(m_Ack(X31,X29),queue(host(X31)))
| host(X29) != host(X30) )
& ! [X32,X33] :
( ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X39,alive)
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| elec_2 != index(status,host(X39))
| index(pendack,host(X39)) != host(X38) )
& queue(host(X1)) = cons(m_Halt(X2),X0) ),
inference(rectify,[],[f71]) ).
fof(f79,plain,
( setIn(sK3,alive)
& host(sK3) = index(ldr,host(sK3))
& norm = index(status,host(sK3))
& setIn(sK5,alive)
& leq(nbr_proc,index(pendack,host(sK5)))
& elem(m_Ack(sK5,sK4),snoc(queue(host(sK5)),m_Ack(sK2,sK1)))
& elec_2 = index(status,host(sK5))
& index(pendack,host(sK5)) = host(sK4)
& host(sK5) != host(sK1)
& host(sK5) = host(sK2)
& host(sK3) != host(sK1)
& setIn(sK1,alive)
& ! [X6,X7] :
( setIn(X7,pids)
| ~ elem(m_Ack(X7,X6),queue(host(X7))) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ elem(m_Down(X9),queue(host(X8))) )
& ! [X10,X11] :
( ~ leq(host(X10),host(X11))
| ~ elem(m_Ldr(X11),queue(host(X10))) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| setIn(X15,alive)
| ~ leq(X16,X15)
| host(X15) != host(X16) )
& ! [X17,X18] :
( ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| X17 = X18
| host(X17) != host(X18) )
& ! [X19,X20] :
( leq(host(X19),index(pendack,host(X20)))
| ~ setIn(X20,alive)
| ~ elem(m_Ack(X20,X19),queue(host(X20))) )
& ! [X21,X22] :
( ~ elem(m_Ack(X21,X22),queue(host(X21)))
| ~ setIn(X22,alive)
| elec_1 != index(status,host(X22)) )
& ! [X23,X24] :
( ~ elem(m_Ack(X24,X23),queue(host(X24)))
| ~ setIn(X24,alive)
| elec_1 != index(status,host(X24)) )
& ! [X25] :
( index(elid,host(X25)) = X25
| ( elec_1 != index(status,host(X25))
& elec_2 != index(status,host(X25)) )
| ~ setIn(X25,alive) )
& ! [X26,X27,X28] :
( ~ setIn(X28,alive)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ elem(m_Ack(X28,X27),queue(host(X28)))
| host(X28) != host(X26) )
& ! [X29,X30,X31] :
( ~ setIn(host(X31),index(down,host(X30)))
| ~ setIn(X30,alive)
| ~ setIn(X31,alive)
| ~ elem(m_Ack(X31,X29),queue(host(X31)))
| host(X29) != host(X30) )
& ! [X32,X33] :
( ~ leq(index(pendack,host(X32)),index(pendack,host(X33)))
| leq(host(X32),host(X33))
| ~ setIn(X32,alive)
| ~ setIn(X33,alive)
| elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X33)) )
& ! [X34,X35,X36] :
( ~ setIn(X34,alive)
| host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X37,alive)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X39,alive)
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| elec_2 != index(status,host(X39))
| index(pendack,host(X39)) != host(X38) )
& queue(host(sK1)) = cons(m_Halt(sK2),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f85,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f84]) ).
fof(f89,plain,
queue(host(sK1)) = cons(m_Halt(sK2),sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f90,plain,
! [X38,X39,X37] :
( index(pendack,host(X39)) != host(X38)
| host(X37) != index(ldr,host(X37))
| norm != index(status,host(X37))
| ~ setIn(X39,alive)
| ~ elem(m_Ack(X39,X38),queue(host(X39)))
| ~ leq(nbr_proc,index(pendack,host(X39)))
| elec_2 != index(status,host(X39))
| ~ setIn(X37,alive) ),
inference(cnf_transformation,[],[f79]) ).
fof(f91,plain,
! [X36,X34,X35] :
( host(X34) != index(ldr,host(X34))
| ~ setIn(X34,alive)
| norm != index(status,host(X34))
| leq(index(pendack,host(X36)),host(X34))
| ~ setIn(X36,alive)
| ~ elem(m_Halt(X36),queue(host(X35)))
| elec_2 != index(status,host(X36)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f101,plain,
! [X16,X15] :
( host(X15) != host(X16)
| setIn(X15,alive)
| ~ leq(X16,X15)
| ~ setIn(X16,alive) ),
inference(cnf_transformation,[],[f79]) ).
fof(f107,plain,
host(sK3) != host(sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f108,plain,
host(sK5) = host(sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f110,plain,
index(pendack,host(sK5)) = host(sK4),
inference(cnf_transformation,[],[f79]) ).
fof(f111,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f79]) ).
fof(f112,plain,
elem(m_Ack(sK5,sK4),snoc(queue(host(sK5)),m_Ack(sK2,sK1))),
inference(cnf_transformation,[],[f79]) ).
fof(f113,plain,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f79]) ).
fof(f114,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f115,plain,
norm = index(status,host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f116,plain,
host(sK3) = index(ldr,host(sK3)),
inference(cnf_transformation,[],[f79]) ).
fof(f117,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f79]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f72]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f73]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f127,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f137,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f138,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f157,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f127]) ).
fof(f165,plain,
elec_2 = index(status,host(sK2)),
inference(forward_demodulation,[],[f111,f108]) ).
fof(f166,plain,
leq(nbr_proc,index(pendack,host(sK2))),
inference(forward_demodulation,[],[f113,f108]) ).
fof(f167,plain,
host(sK4) = index(pendack,host(sK2)),
inference(forward_demodulation,[],[f110,f108]) ).
fof(f168,plain,
leq(nbr_proc,host(sK4)),
inference(superposition,[],[f166,f167]) ).
fof(f172,plain,
elem(m_Ack(sK5,sK4),snoc(queue(host(sK2)),m_Ack(sK2,sK1))),
inference(forward_demodulation,[],[f112,f108]) ).
fof(f182,plain,
! [X0] :
( host(X0) != host(sK2)
| setIn(X0,alive)
| ~ leq(sK5,X0)
| ~ setIn(sK5,alive) ),
inference(superposition,[],[f101,f108]) ).
fof(f184,plain,
! [X0] :
( host(X0) != host(sK2)
| setIn(X0,alive)
| ~ leq(sK5,X0) ),
inference(forward_subsumption_resolution,[],[f182,f114]) ).
fof(f224,plain,
( setIn(sK2,alive)
| ~ leq(sK5,sK2) ),
inference(equality_resolution,[],[f184]) ).
fof(f247,plain,
! [X0,X1] :
( host(sK3) != host(sK3)
| ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| leq(index(pendack,host(X0)),host(sK3))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| elec_2 != index(status,host(X0)) ),
inference(superposition,[],[f91,f116]) ).
fof(f248,plain,
! [X0,X1] :
( ~ setIn(sK3,alive)
| norm != index(status,host(sK3))
| leq(index(pendack,host(X0)),host(sK3))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| elec_2 != index(status,host(X0)) ),
inference(trivial_inequality_removal,[],[f247]) ).
fof(f249,plain,
! [X0,X1] :
( norm != index(status,host(sK3))
| leq(index(pendack,host(X0)),host(sK3))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f248,f117]) ).
fof(f251,plain,
! [X0,X1] :
( elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1)))
| leq(index(pendack,host(X0)),host(sK3)) ),
inference(forward_subsumption_resolution,[],[f249,f115]) ).
fof(f257,plain,
! [X0,X1] :
( host(X0) != index(pendack,host(sK2))
| host(X1) != index(ldr,host(X1))
| norm != index(status,host(X1))
| ~ setIn(sK5,alive)
| ~ elem(m_Ack(sK5,X0),queue(host(sK2)))
| ~ leq(nbr_proc,index(pendack,host(sK2)))
| elec_2 != index(status,host(sK2))
| ~ setIn(X1,alive) ),
inference(superposition,[],[f90,f108]) ).
fof(f260,plain,
! [X0,X1] :
( host(X0) != index(pendack,host(sK2))
| host(X1) != index(ldr,host(X1))
| norm != index(status,host(X1))
| ~ elem(m_Ack(sK5,X0),queue(host(sK2)))
| ~ leq(nbr_proc,index(pendack,host(sK2)))
| elec_2 != index(status,host(sK2))
| ~ setIn(X1,alive) ),
inference(forward_subsumption_resolution,[],[f257,f114]) ).
fof(f262,plain,
! [X0,X1] :
( host(X0) != index(pendack,host(sK2))
| host(X1) != index(ldr,host(X1))
| norm != index(status,host(X1))
| ~ elem(m_Ack(sK5,X0),queue(host(sK2)))
| elec_2 != index(status,host(sK2))
| ~ setIn(X1,alive) ),
inference(forward_subsumption_resolution,[],[f260,f166]) ).
fof(f263,plain,
! [X0,X1] :
( host(X0) != index(pendack,host(sK2))
| host(X1) != index(ldr,host(X1))
| norm != index(status,host(X1))
| ~ elem(m_Ack(sK5,X0),queue(host(sK2)))
| ~ setIn(X1,alive) ),
inference(forward_subsumption_resolution,[],[f262,f165]) ).
fof(f264,plain,
! [X0,X1] :
( host(X1) != index(ldr,host(X1))
| host(X0) != host(sK4)
| norm != index(status,host(X1))
| ~ elem(m_Ack(sK5,X0),queue(host(sK2)))
| ~ setIn(X1,alive) ),
inference(forward_demodulation,[],[f263,f167]) ).
fof(f279,plain,
! [X0] :
( elec_2 != elec_2
| ~ setIn(sK2,alive)
| ~ elem(m_Halt(sK2),queue(host(X0)))
| leq(index(pendack,host(sK2)),host(sK3)) ),
inference(superposition,[],[f251,f165]) ).
fof(f280,plain,
! [X0] :
( ~ setIn(sK2,alive)
| ~ elem(m_Halt(sK2),queue(host(X0)))
| leq(index(pendack,host(sK2)),host(sK3)) ),
inference(trivial_inequality_removal,[],[f279]) ).
fof(f281,plain,
! [X0] :
( ~ elem(m_Halt(sK2),queue(host(X0)))
| ~ setIn(sK2,alive)
| leq(host(sK4),host(sK3)) ),
inference(forward_demodulation,[],[f280,f167]) ).
fof(f288,plain,
elem(m_Halt(sK2),queue(host(sK1))),
inference(superposition,[],[f157,f89]) ).
fof(f289,plain,
( leq(host(sK4),host(sK3))
| ~ setIn(sK2,alive) ),
inference(resolution,[],[f288,f281]) ).
fof(f294,plain,
! [X0] :
( host(sK3) != host(sK3)
| host(X0) != host(sK4)
| norm != index(status,host(sK3))
| ~ elem(m_Ack(sK5,X0),queue(host(sK2)))
| ~ setIn(sK3,alive) ),
inference(superposition,[],[f264,f116]) ).
fof(f295,plain,
! [X0] :
( host(X0) != host(sK4)
| norm != index(status,host(sK3))
| ~ elem(m_Ack(sK5,X0),queue(host(sK2)))
| ~ setIn(sK3,alive) ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f296,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ elem(m_Ack(sK5,X0),queue(host(sK2)))
| ~ setIn(sK3,alive) ),
inference(forward_subsumption_resolution,[],[f295,f115]) ).
fof(f298,plain,
! [X0] :
( host(X0) != host(sK4)
| ~ elem(m_Ack(sK5,X0),queue(host(sK2))) ),
inference(forward_subsumption_resolution,[],[f296,f117]) ).
fof(f302,plain,
~ elem(m_Ack(sK5,sK4),queue(host(sK2))),
inference(equality_resolution,[],[f298]) ).
fof(f343,plain,
( ~ leq(host(sK4),nbr_proc)
| nbr_proc = host(sK4) ),
inference(resolution,[],[f133,f168]) ).
fof(f347,plain,
nbr_proc = host(sK4),
inference(forward_subsumption_resolution,[],[f343,f138]) ).
fof(f353,plain,
( leq(nbr_proc,host(sK3))
| ~ setIn(sK2,alive) ),
inference(superposition,[],[f289,f347]) ).
fof(f406,plain,
( ~ setIn(sK2,alive)
| ~ leq(host(sK3),nbr_proc)
| nbr_proc = host(sK3) ),
inference(resolution,[],[f353,f133]) ).
fof(f407,plain,
( nbr_proc = host(sK3)
| ~ setIn(sK2,alive) ),
inference(forward_subsumption_resolution,[],[f406,f138]) ).
fof(f408,plain,
( nbr_proc != host(sK1)
| ~ setIn(sK2,alive) ),
inference(superposition,[],[f107,f407]) ).
fof(f494,plain,
( elem(m_Ack(sK5,sK4),queue(host(sK2)))
| m_Ack(sK5,sK4) = m_Ack(sK2,sK1) ),
inference(resolution,[],[f122,f172]) ).
fof(f499,plain,
m_Ack(sK5,sK4) = m_Ack(sK2,sK1),
inference(forward_subsumption_resolution,[],[f494,f302]) ).
fof(f508,plain,
! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK2,sK1)
| sK4 = X1 ),
inference(superposition,[],[f118,f499]) ).
fof(f510,plain,
! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK2,sK1)
| sK5 = X0 ),
inference(superposition,[],[f119,f499]) ).
fof(f637,plain,
sK1 = sK4,
inference(equality_resolution,[],[f508]) ).
fof(f650,plain,
( nbr_proc != host(sK4)
| ~ setIn(sK2,alive) ),
inference(superposition,[],[f408,f637]) ).
fof(f658,plain,
~ setIn(sK2,alive),
inference(forward_subsumption_resolution,[],[f650,f347]) ).
fof(f669,plain,
~ leq(sK5,sK2),
inference(resolution,[],[f658,f224]) ).
fof(f670,plain,
! [X0,X1] :
( m_Ack(X0,X1) != m_Ack(sK2,sK4)
| sK5 = X0 ),
inference(forward_demodulation,[],[f510,f637]) ).
fof(f681,plain,
sK2 = sK5,
inference(equality_resolution,[],[f670]) ).
fof(f696,plain,
~ leq(sK2,sK2),
inference(superposition,[],[f669,f681]) ).
fof(f699,plain,
$false,
inference(forward_subsumption_resolution,[],[f696,f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV457+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n002.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 11:11:37 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/1.11 % (289535)Detected formulas, will run a generic FOF schedule.
% 2.94/1.11 % (289543)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3285242849:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.94/1.11 % (289543)Instruction limit reached!
% 2.94/1.11 % (289543)------------------------------
% 2.94/1.11 % (289543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.11 % (289543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.11 % (289543)CaDiCaL version: 2.1.3
% 2.94/1.11 % (289543)Termination reason: Instruction limit
% 2.94/1.11 % (289543)Termination phase: Saturation
% 2.94/1.11 % (289543)Time elapsed: 0.040 s
% 2.94/1.11 % (289543)Peak memory usage: 89 MB
% 2.94/1.11 % (289543)Instructions burned: 110 (million)
% 2.94/1.11 % (289542)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=499454501:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.94/1.11 % (289540)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3039902557:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.94/1.11 % (289541)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2419973083:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.94/1.11 % (289545)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2501181477:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.94/1.11 % (289544)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2995815707:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.94/1.11 % (289546)dis-21_1_sil=8000:lcm=predicate:random_seed=1398561725:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.94/1.11 % (289544)First to succeed.
% 2.94/1.11 % (289544)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-289535"
% 2.94/1.11 % (289545)Also succeeded, but the first one will report.
% 2.94/1.11 % (289548)lrs+10_1_sil=8000:sp=occurrence:random_seed=1837580306:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.94/1.11 % (289546)Instruction limit reached!
% 2.94/1.11 % (289546)------------------------------
% 2.94/1.11 % (289546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.11 % (289546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.11 % (289546)CaDiCaL version: 2.1.3
% 2.94/1.11 % (289546)Termination reason: Instruction limit
% 2.94/1.11 % (289546)Termination phase: Saturation
% 2.94/1.11 % (289546)Time elapsed: 0.084 s
% 2.94/1.11 % (289546)Peak memory usage: 89 MB
% 2.94/1.11 % (289546)Instructions burned: 129 (million)
% 2.94/1.11 % (289548)Also succeeded, but the first one will report.
% 2.94/1.11 % (289556)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1431882288:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.94/1.11 % (289556)Also succeeded, but the first one will report.
% 2.94/1.11 % (289544)Refutation found. Thanks to Tanya!
% 2.94/1.11 % SZS status Theorem for theBenchmark
% 2.94/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.32 % (289544)------------------------------
% 3.78/1.32 % (289544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.32 % (289544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.32 % (289544)CaDiCaL version: 2.1.3
% 3.78/1.32 % (289544)Termination reason: Refutation
% 3.78/1.32 % (289544)Time elapsed: 0.021 s
% 3.78/1.32 % (289544)Peak memory usage: 88 MB
% 3.78/1.32 % (289544)Instructions burned: 34 (million)
% 3.78/1.32 % (289544)------------------------------
% 3.78/1.32 % (289544)------------------------------
% 3.78/1.32 % (289535)Success in time 0.442 s
% 3.78/1.32 % Vampire exiting
%------------------------------------------------------------------------------