%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV460+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:15:52 PM UTC 2026
% Result : Theorem 2.95s 1.13s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 98 ( 20 unt; 6 def)
% Number of atoms : 743 ( 259 equ)
% Maximal formula atoms : 72 ( 7 avg)
% Number of connectives : 1048 ( 403 ~; 314 |; 256 &)
% ( 9 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 269 ( 2 sgn 254 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
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(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4] :
( index(status,host(X4)) = elec_2
=> ~ leq(index(pendack,host(X4)),host(X4)) )
& ! [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)
& 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,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(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,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))) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X4] :
( host(X2) = host(X4)
=> ! [X7] :
( host(X2) != host(X7)
=> ( ( ~ leq(host(X4),host(X7))
& setIn(X4,alive)
& setIn(X7,alive)
& index(status,host(X7)) = elec_2 )
=> ~ leq(s(host(X2)),index(pendack,host(X7))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4] :
( index(status,host(X4)) = elec_2
=> ~ leq(index(pendack,host(X4)),host(X4)) )
& ! [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)
& 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,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(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,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))) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X4] :
( host(X2) = host(X4)
=> ! [X7] :
( host(X2) != host(X7)
=> ( ( ~ leq(host(X4),host(X7))
& setIn(X4,alive)
& setIn(X7,alive)
& index(status,host(X7)) = elec_2 )
=> ~ leq(s(host(X2)),index(pendack,host(X7))) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6] :
( elec_2 = index(status,host(X6))
=> ~ leq(index(pendack,host(X6)),host(X6)) )
& ! [X7,X8,X9] :
( elem(m_Ack(X9,X7),queue(host(X8)))
=> ~ leq(host(X7),host(X9)) )
& ! [X10,X11] :
( ( X10 != X11
& host(X10) = host(X11) )
=> ( ~ setIn(X10,alive)
| ~ setIn(X11,alive) ) )
& ! [X12,X13] :
( ( setIn(X13,alive)
& elec_2 = index(status,host(X13)) )
=> ~ elem(m_Ack(X12,X13),queue(host(X12))) )
& ! [X14] :
( ( ( elec_1 = index(status,host(X14))
| elec_2 = index(status,host(X14)) )
& setIn(X14,alive) )
=> index(elid,host(X14)) = X14 )
& ! [X15,X16] :
( ( setIn(X15,alive)
& setIn(X16,alive)
& setIn(host(X16),index(down,host(X15)))
& elec_2 = index(status,host(X16)) )
=> leq(index(pendack,host(X16)),host(X15)) )
& ! [X17,X18,X19] :
( ( ~ leq(host(X19),host(X17))
& setIn(X17,alive)
& setIn(X19,alive)
& host(X19) = host(X18)
& elec_2 = index(status,host(X19)) )
=> ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X20,X21] :
( ( ~ leq(host(X20),host(X21))
& setIn(X20,alive)
& setIn(X21,alive)
& elec_2 = index(status,host(X20))
& elec_2 = index(status,host(X21)) )
=> leq(index(pendack,host(X21)),host(X20)) )
& ! [X22,X23,X24] :
( ( setIn(X22,alive)
& setIn(X24,alive)
& host(X24) = host(X23)
& elec_2 = index(status,host(X22))
& elec_2 = index(status,host(X24)) )
=> ~ elem(m_Ack(X22,X23),queue(host(X22))) )
& ! [X25,X26,X27] :
( ( setIn(X25,alive)
& setIn(X27,alive)
& elem(m_Down(X26),queue(host(X25)))
& host(X27) = host(X26)
& elec_2 = index(status,host(X27)) )
=> leq(index(pendack,host(X27)),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))) )
& 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))) ) )
=> ( ( ! [X30] :
( ( ~ leq(host(X2),X30)
& leq(s(zero),X30) )
=> ( setIn(X30,index(down,host(X2)))
| host(X3) = X30 ) )
& index(status,host(X2)) = elec_1 )
=> ( ~ leq(nbr_proc,host(X2))
=> ! [X31] :
( host(X2) = host(X31)
=> ! [X32] :
( host(X2) != host(X32)
=> ( ( ~ leq(host(X31),host(X32))
& setIn(X31,alive)
& setIn(X32,alive)
& elec_2 = index(status,host(X32)) )
=> ~ leq(s(host(X2)),index(pendack,host(X32))) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X31] :
( ? [X32] :
( leq(s(host(X2)),index(pendack,host(X32)))
& ~ leq(host(X31),host(X32))
& setIn(X31,alive)
& setIn(X32,alive)
& elec_2 = index(status,host(X32))
& host(X2) != host(X32) )
& host(X2) = host(X31) )
& ~ leq(nbr_proc,host(X2))
& ! [X30] :
( setIn(X30,index(down,host(X2)))
| host(X3) = X30
| leq(host(X2),X30)
| ~ leq(s(zero),X30) )
& 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_Halt(X5),queue(host(X4))) )
& ! [X6] :
( ~ leq(index(pendack,host(X6)),host(X6))
| elec_2 != index(status,host(X6)) )
& ! [X7,X8,X9] :
( ~ leq(host(X7),host(X9))
| ~ elem(m_Ack(X9,X7),queue(host(X8))) )
& ! [X10,X11] :
( ~ setIn(X10,alive)
| ~ setIn(X11,alive)
| X10 = X11
| host(X10) != host(X11) )
& ! [X12,X13] :
( ~ elem(m_Ack(X12,X13),queue(host(X12)))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X13)) )
& ! [X14] :
( index(elid,host(X14)) = X14
| ( elec_1 != index(status,host(X14))
& elec_2 != index(status,host(X14)) )
| ~ setIn(X14,alive) )
& ! [X15,X16] :
( leq(index(pendack,host(X16)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X16,alive)
| ~ setIn(host(X16),index(down,host(X15)))
| elec_2 != index(status,host(X16)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| leq(host(X19),host(X17))
| ~ setIn(X17,alive)
| ~ setIn(X19,alive)
| host(X19) != host(X18)
| elec_2 != index(status,host(X19)) )
& ! [X20,X21] :
( leq(index(pendack,host(X21)),host(X20))
| leq(host(X20),host(X21))
| ~ setIn(X20,alive)
| ~ setIn(X21,alive)
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ~ setIn(X22,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X23)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26,X27] :
( leq(index(pendack,host(X27)),host(X25))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| ~ elem(m_Down(X26),queue(host(X25)))
| host(X27) != host(X26)
| 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)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X31] :
( ? [X32] :
( leq(s(host(X2)),index(pendack,host(X32)))
& ~ leq(host(X31),host(X32))
& setIn(X31,alive)
& setIn(X32,alive)
& elec_2 = index(status,host(X32))
& host(X2) != host(X32) )
& host(X2) = host(X31) )
& ~ leq(nbr_proc,host(X2))
& ! [X30] :
( setIn(X30,index(down,host(X2)))
| host(X3) = X30
| leq(host(X2),X30)
| ~ leq(s(zero),X30) )
& 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_Halt(X5),queue(host(X4))) )
& ! [X6] :
( ~ leq(index(pendack,host(X6)),host(X6))
| elec_2 != index(status,host(X6)) )
& ! [X7,X8,X9] :
( ~ leq(host(X7),host(X9))
| ~ elem(m_Ack(X9,X7),queue(host(X8))) )
& ! [X10,X11] :
( ~ setIn(X10,alive)
| ~ setIn(X11,alive)
| X10 = X11
| host(X10) != host(X11) )
& ! [X12,X13] :
( ~ elem(m_Ack(X12,X13),queue(host(X12)))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X13)) )
& ! [X14] :
( index(elid,host(X14)) = X14
| ( elec_1 != index(status,host(X14))
& elec_2 != index(status,host(X14)) )
| ~ setIn(X14,alive) )
& ! [X15,X16] :
( leq(index(pendack,host(X16)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X16,alive)
| ~ setIn(host(X16),index(down,host(X15)))
| elec_2 != index(status,host(X16)) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X18),queue(host(X17)))
| leq(host(X19),host(X17))
| ~ setIn(X17,alive)
| ~ setIn(X19,alive)
| host(X19) != host(X18)
| elec_2 != index(status,host(X19)) )
& ! [X20,X21] :
( leq(index(pendack,host(X21)),host(X20))
| leq(host(X20),host(X21))
| ~ setIn(X20,alive)
| ~ setIn(X21,alive)
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X21)) )
& ! [X22,X23,X24] :
( ~ elem(m_Ack(X22,X23),queue(host(X22)))
| ~ setIn(X22,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X23)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X24)) )
& ! [X25,X26,X27] :
( leq(index(pendack,host(X27)),host(X25))
| ~ setIn(X25,alive)
| ~ setIn(X27,alive)
| ~ elem(m_Down(X26),queue(host(X25)))
| host(X27) != host(X26)
| 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)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f92]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f107]) ).
fof(f110,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( s(X1) != X0
& ~ leq(X0,X1) ) )
& ( X0 = s(X1)
| leq(X0,X1)
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( leq(s(host(X1)),index(pendack,host(X4)))
& ~ leq(host(X3),host(X4))
& setIn(X3,alive)
& setIn(X4,alive)
& elec_2 = index(status,host(X4))
& host(X1) != host(X4) )
& host(X1) = host(X3) )
& ~ leq(nbr_proc,host(X1))
& ! [X5] :
( setIn(X5,index(down,host(X1)))
| host(X2) = X5
| leq(host(X1),X5)
| ~ leq(s(zero),X5) )
& elec_1 = index(status,host(X1))
& ( host(X2) != index(ldr,host(X1))
| norm != index(status,host(X1)) )
& ( wait != index(status,host(X1))
| host(X2) != host(index(elid,host(X1))) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& ! [X6,X7] :
( ~ leq(host(X6),host(X7))
| ~ elem(m_Halt(X7),queue(host(X6))) )
& ! [X8] :
( ~ leq(index(pendack,host(X8)),host(X8))
| elec_2 != index(status,host(X8)) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| X12 = X13
| host(X13) != host(X12) )
& ! [X14,X15] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X15)) )
& ! [X16] :
( index(elid,host(X16)) = X16
| ( elec_1 != index(status,host(X16))
& elec_2 != index(status,host(X16)) )
| ~ setIn(X16,alive) )
& ! [X17,X18] :
( leq(index(pendack,host(X18)),host(X17))
| ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| ~ setIn(host(X18),index(down,host(X17)))
| elec_2 != index(status,host(X18)) )
& ! [X19,X20,X21] :
( ~ elem(m_Down(X20),queue(host(X19)))
| leq(host(X21),host(X19))
| ~ setIn(X19,alive)
| ~ setIn(X21,alive)
| host(X20) != host(X21)
| elec_2 != index(status,host(X21)) )
& ! [X22,X23] :
( leq(index(pendack,host(X23)),host(X22))
| leq(host(X22),host(X23))
| ~ setIn(X22,alive)
| ~ setIn(X23,alive)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X23)) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X26)
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X26)) )
& ! [X27,X28,X29] :
( leq(index(pendack,host(X29)),host(X27))
| ~ setIn(X27,alive)
| ~ setIn(X29,alive)
| ~ elem(m_Down(X28),queue(host(X27)))
| host(X28) != host(X29)
| elec_2 != index(status,host(X29)) )
& ! [X30,X31] :
( ~ leq(index(pendack,host(X30)),index(pendack,host(X31)))
| leq(host(X30),host(X31))
| ~ setIn(X30,alive)
| ~ setIn(X31,alive)
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X31)) )
& queue(host(X1)) = cons(m_Down(X2),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( leq(s(host(sK4)),index(pendack,host(sK7)))
& ~ leq(host(sK6),host(sK7))
& setIn(sK6,alive)
& setIn(sK7,alive)
& elec_2 = index(status,host(sK7))
& host(sK4) != host(sK7)
& host(sK4) = host(sK6)
& ~ leq(nbr_proc,host(sK4))
& ! [X5] :
( setIn(X5,index(down,host(sK4)))
| host(sK5) = X5
| leq(host(sK4),X5)
| ~ leq(s(zero),X5) )
& elec_1 = index(status,host(sK4))
& ( host(sK5) != index(ldr,host(sK4))
| norm != index(status,host(sK4)) )
& ( wait != index(status,host(sK4))
| host(sK5) != host(index(elid,host(sK4))) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& ! [X6,X7] :
( ~ leq(host(X6),host(X7))
| ~ elem(m_Halt(X7),queue(host(X6))) )
& ! [X8] :
( ~ leq(index(pendack,host(X8)),host(X8))
| elec_2 != index(status,host(X8)) )
& ! [X9,X10,X11] :
( ~ leq(host(X9),host(X11))
| ~ elem(m_Ack(X11,X9),queue(host(X10))) )
& ! [X12,X13] :
( ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| X12 = X13
| host(X13) != host(X12) )
& ! [X14,X15] :
( ~ elem(m_Ack(X14,X15),queue(host(X14)))
| ~ setIn(X15,alive)
| elec_2 != index(status,host(X15)) )
& ! [X16] :
( index(elid,host(X16)) = X16
| ( elec_1 != index(status,host(X16))
& elec_2 != index(status,host(X16)) )
| ~ setIn(X16,alive) )
& ! [X17,X18] :
( leq(index(pendack,host(X18)),host(X17))
| ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| ~ setIn(host(X18),index(down,host(X17)))
| elec_2 != index(status,host(X18)) )
& ! [X19,X20,X21] :
( ~ elem(m_Down(X20),queue(host(X19)))
| leq(host(X21),host(X19))
| ~ setIn(X19,alive)
| ~ setIn(X21,alive)
| host(X20) != host(X21)
| elec_2 != index(status,host(X21)) )
& ! [X22,X23] :
( leq(index(pendack,host(X23)),host(X22))
| leq(host(X22),host(X23))
| ~ setIn(X22,alive)
| ~ setIn(X23,alive)
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X23)) )
& ! [X24,X25,X26] :
( ~ elem(m_Ack(X24,X25),queue(host(X24)))
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X26)
| elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X26)) )
& ! [X27,X28,X29] :
( leq(index(pendack,host(X29)),host(X27))
| ~ setIn(X27,alive)
| ~ setIn(X29,alive)
| ~ elem(m_Down(X28),queue(host(X27)))
| host(X28) != host(X29)
| elec_2 != index(status,host(X29)) )
& ! [X30,X31] :
( ~ leq(index(pendack,host(X30)),index(pendack,host(X31)))
| leq(host(X30),host(X31))
| ~ setIn(X30,alive)
| ~ setIn(X31,alive)
| elec_2 != index(status,host(X30))
| elec_2 != index(status,host(X31)) )
& queue(host(sK4)) = cons(m_Down(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7)],[f112]) ).
fof(f117,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f197,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f207,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f210,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f212,plain,
! [X28,X29,X27] :
( ~ elem(m_Down(X28),queue(host(X27)))
| ~ setIn(X27,alive)
| ~ setIn(X29,alive)
| leq(index(pendack,host(X29)),host(X27))
| host(X28) != host(X29)
| elec_2 != index(status,host(X29)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f216,plain,
! [X18,X17] :
( ~ setIn(host(X18),index(down,host(X17)))
| ~ setIn(X17,alive)
| ~ setIn(X18,alive)
| leq(index(pendack,host(X18)),host(X17))
| elec_2 != index(status,host(X18)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f229,plain,
! [X5] :
( ~ leq(s(zero),X5)
| host(sK5) = X5
| leq(host(sK4),X5)
| setIn(X5,index(down,host(sK4))) ),
inference(cnf_transformation,[],[f113]) ).
fof(f231,plain,
host(sK4) = host(sK6),
inference(cnf_transformation,[],[f113]) ).
fof(f233,plain,
elec_2 = index(status,host(sK7)),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
~ leq(host(sK6),host(sK7)),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
leq(s(host(sK4)),index(pendack,host(sK7))),
inference(cnf_transformation,[],[f113]) ).
fof(f244,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
fof(f269,plain,
~ leq(host(sK4),host(sK7)),
inference(forward_demodulation,[],[f236,f231]) ).
fof(f321,plain,
! [X0] :
( ~ setIn(host(X0),index(down,host(sK4)))
| ~ setIn(sK6,alive)
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK4))
| elec_2 != index(status,host(X0)) ),
inference(superposition,[],[f216,f231]) ).
fof(f322,plain,
! [X0] :
( ~ setIn(host(X0),index(down,host(sK4)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK4))
| elec_2 != index(status,host(X0)) ),
inference(forward_subsumption_resolution,[],[f321,f235]) ).
fof(f328,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| ~ setIn(sK6,alive)
| ~ setIn(X1,alive)
| leq(index(pendack,host(X1)),host(sK4))
| host(X0) != host(X1)
| elec_2 != index(status,host(X1)) ),
inference(superposition,[],[f212,f231]) ).
fof(f329,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| ~ setIn(X1,alive)
| leq(index(pendack,host(X1)),host(sK4))
| host(X0) != host(X1)
| elec_2 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f328,f235]) ).
fof(f396,plain,
! [X0] :
( leq(host(sK4),host(X0))
| host(X0) = host(sK5)
| setIn(host(X0),index(down,host(sK4))) ),
inference(resolution,[],[f117,f229]) ).
fof(f399,plain,
( host(sK7) = host(sK5)
| setIn(host(sK7),index(down,host(sK4))) ),
inference(resolution,[],[f396,f269]) ).
fof(f402,definition,
( spl8_14
<=> setIn(host(sK7),index(down,host(sK4))) ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
fof(f404,plain,
( setIn(host(sK7),index(down,host(sK4)))
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f406,definition,
( spl8_15
<=> host(sK7) = host(sK5) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
fof(f408,plain,
( host(sK7) = host(sK5)
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f409,plain,
( spl8_14
| spl8_15 ),
inference(avatar_split_clause,[],[f399,f406,f402]) ).
fof(f410,plain,
( ~ setIn(sK7,alive)
| leq(index(pendack,host(sK7)),host(sK4))
| elec_2 != index(status,host(sK7))
| ~ spl8_14 ),
inference(resolution,[],[f404,f322]) ).
fof(f413,plain,
( leq(index(pendack,host(sK7)),host(sK4))
| elec_2 != index(status,host(sK7))
| ~ spl8_14 ),
inference(forward_subsumption_resolution,[],[f410,f234]) ).
fof(f415,plain,
( leq(index(pendack,host(sK7)),host(sK4))
| ~ spl8_14 ),
inference(forward_subsumption_resolution,[],[f413,f233]) ).
fof(f418,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f244,f210]) ).
fof(f419,plain,
! [X0] :
( leq(index(pendack,host(X0)),host(sK4))
| ~ setIn(X0,alive)
| host(X0) != host(sK5)
| elec_2 != index(status,host(X0)) ),
inference(resolution,[],[f418,f329]) ).
fof(f526,plain,
( s(host(sK4)) = index(pendack,host(sK7))
| ~ leq(index(pendack,host(sK7)),s(host(sK4))) ),
inference(resolution,[],[f200,f237]) ).
fof(f542,definition,
( spl8_24
<=> leq(index(pendack,host(sK7)),s(host(sK4))) ),
introduced(definition,[new_symbols(definition,[spl8_24])],[avatar_definition]) ).
fof(f543,plain,
( leq(index(pendack,host(sK7)),s(host(sK4)))
| ~ spl8_24 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f544,plain,
( ~ leq(index(pendack,host(sK7)),s(host(sK4)))
| spl8_24 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f546,definition,
( spl8_25
<=> s(host(sK4)) = index(pendack,host(sK7)) ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
fof(f548,plain,
( s(host(sK4)) = index(pendack,host(sK7))
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f549,plain,
( ~ spl8_24
| spl8_25 ),
inference(avatar_split_clause,[],[f526,f546,f542]) ).
fof(f590,plain,
( elec_2 = index(status,host(sK5))
| ~ spl8_15 ),
inference(superposition,[],[f233,f408]) ).
fof(f645,definition,
( spl8_33
<=> elec_2 = index(status,host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl8_33])],[avatar_definition]) ).
fof(f650,definition,
( spl8_34
<=> leq(index(pendack,host(sK5)),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl8_34])],[avatar_definition]) ).
fof(f689,plain,
( spl8_33
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f590,f406,f645]) ).
fof(f880,plain,
( ~ leq(index(pendack,host(sK7)),host(sK4))
| spl8_24 ),
inference(resolution,[],[f544,f207]) ).
fof(f883,plain,
( $false
| ~ spl8_14
| spl8_24 ),
inference(forward_subsumption_resolution,[],[f880,f415]) ).
fof(f884,plain,
( ~ spl8_14
| spl8_24 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f886,plain,
( s(host(sK4)) = index(pendack,host(sK7))
| ~ leq(s(host(sK4)),index(pendack,host(sK7)))
| ~ spl8_24 ),
inference(resolution,[],[f543,f200]) ).
fof(f887,plain,
( s(host(sK4)) = index(pendack,host(sK7))
| ~ spl8_24 ),
inference(forward_subsumption_resolution,[],[f886,f237]) ).
fof(f888,plain,
( spl8_25
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f887,f542,f546]) ).
fof(f894,plain,
( leq(s(host(sK4)),host(sK4))
| ~ spl8_14
| ~ spl8_25 ),
inference(superposition,[],[f415,f548]) ).
fof(f900,plain,
( leq(s(host(sK4)),host(sK4))
| ~ setIn(sK7,alive)
| host(sK7) != host(sK5)
| elec_2 != index(status,host(sK7))
| ~ spl8_25 ),
inference(superposition,[],[f419,f548]) ).
fof(f908,plain,
( $false
| ~ spl8_14
| ~ spl8_25 ),
inference(forward_subsumption_resolution,[],[f894,f197]) ).
fof(f909,plain,
( ~ spl8_14
| ~ spl8_25 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f912,plain,
( ~ setIn(sK7,alive)
| host(sK7) != host(sK5)
| elec_2 != index(status,host(sK7))
| ~ spl8_25 ),
inference(forward_subsumption_resolution,[],[f900,f197]) ).
fof(f914,plain,
( host(sK7) != host(sK5)
| elec_2 != index(status,host(sK7))
| ~ spl8_25 ),
inference(forward_subsumption_resolution,[],[f912,f234]) ).
fof(f916,plain,
( host(sK7) != host(sK5)
| ~ spl8_25 ),
inference(forward_subsumption_resolution,[],[f914,f233]) ).
fof(f917,plain,
( ~ spl8_15
| ~ spl8_25 ),
inference(avatar_split_clause,[],[f916,f546,f406]) ).
fof(f956,plain,
( leq(index(pendack,host(sK5)),host(sK4))
| ~ setIn(sK7,alive)
| host(sK5) != host(sK5)
| elec_2 != index(status,host(sK5))
| ~ spl8_15 ),
inference(superposition,[],[f419,f408]) ).
fof(f962,plain,
( leq(index(pendack,host(sK5)),host(sK4))
| ~ setIn(sK7,alive)
| elec_2 != index(status,host(sK5))
| ~ spl8_15 ),
inference(trivial_inequality_removal,[],[f956]) ).
fof(f964,plain,
( leq(index(pendack,host(sK5)),host(sK4))
| elec_2 != index(status,host(sK5))
| ~ spl8_15 ),
inference(forward_subsumption_resolution,[],[f962,f234]) ).
fof(f981,plain,
( ~ spl8_33
| spl8_34
| ~ spl8_15 ),
inference(avatar_split_clause,[],[f964,f406,f650,f645]) ).
fof(f989,plain,
( ~ leq(index(pendack,host(sK5)),s(host(sK4)))
| ~ spl8_15
| spl8_24 ),
inference(forward_demodulation,[],[f544,f408]) ).
fof(f1035,plain,
( ~ leq(index(pendack,host(sK5)),host(sK4))
| ~ spl8_15
| spl8_24 ),
inference(resolution,[],[f989,f207]) ).
fof(f1038,plain,
( ~ spl8_34
| ~ spl8_15
| spl8_24 ),
inference(avatar_split_clause,[],[f1035,f542,f406,f650]) ).
cnf(s9,plain,
( spl8_14
| spl8_15 ),
inference(sat_conversion,[],[f409]) ).
cnf(s13,plain,
( ~ spl8_24
| spl8_25 ),
inference(sat_conversion,[],[f549]) ).
cnf(s27,plain,
( ~ spl8_15
| spl8_33 ),
inference(sat_conversion,[],[f689]) ).
cnf(s31,plain,
( ~ spl8_14
| spl8_24 ),
inference(sat_conversion,[],[f884]) ).
cnf(s32,plain,
( ~ spl8_24
| spl8_25 ),
inference(sat_conversion,[],[f888]) ).
cnf(s34,plain,
( ~ spl8_14
| ~ spl8_25 ),
inference(sat_conversion,[],[f909]) ).
cnf(s35,plain,
( ~ spl8_15
| ~ spl8_25 ),
inference(sat_conversion,[],[f917]) ).
cnf(s41,plain,
( ~ spl8_15
| ~ spl8_33
| spl8_34 ),
inference(sat_conversion,[],[f981]) ).
cnf(s54,plain,
( ~ spl8_15
| spl8_24
| ~ spl8_34 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s56,plain,
~ spl8_15,
inference(rat,[],[s54,s41,s32,s27,s35]) ).
cnf(s57,plain,
spl8_14,
inference(rat,[],[s9,s56]) ).
cnf(s58,plain,
~ spl8_25,
inference(rat,[],[s34,s57]) ).
cnf(s59,plain,
spl8_24,
inference(rat,[],[s31,s57]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s13,s58,s59]) ).
fof(f1039,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV460+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 11:08:36 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 2.95/1.13 % (1104976)Detected formulas, will run a generic FOF schedule.
% 2.95/1.13 % (1105075)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4148612719:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.95/1.13 % (1105072)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=874609256:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.95/1.13 % (1105075)Instruction limit reached!
% 2.95/1.13 % (1105075)------------------------------
% 2.95/1.13 % (1105075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (1105075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (1105075)CaDiCaL version: 2.1.3
% 2.95/1.13 % (1105075)Termination reason: Instruction limit
% 2.95/1.13 % (1105075)Termination phase: Saturation
% 2.95/1.13 % (1105075)Time elapsed: 0.039 s
% 2.95/1.13 % (1105075)Peak memory usage: 89 MB
% 2.95/1.13 % (1105075)Instructions burned: 110 (million)
% 2.95/1.13 % (1105070)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=1553544840:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.95/1.13 % (1105074)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=1674809275:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.95/1.13 % (1105078)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4144759065:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.95/1.13 % (1105079)dis-21_1_sil=8000:lcm=predicate:random_seed=2343824317: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)
% 2.95/1.13 % (1105076)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3590659249:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.95/1.13 % (1105078)First to succeed.
% 2.95/1.13 % (1105078)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1104976"
% 2.95/1.13 % (1105076)Instruction limit reached!
% 2.95/1.13 % (1105076)------------------------------
% 2.95/1.13 % (1105076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (1105076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (1105076)CaDiCaL version: 2.1.3
% 2.95/1.13 % (1105076)Termination reason: Instruction limit
% 2.95/1.13 % (1105076)Termination phase: Saturation
% 2.95/1.13 % (1105076)Time elapsed: 0.071 s
% 2.95/1.13 % (1105076)Peak memory usage: 88 MB
% 2.95/1.13 % (1105076)Instructions burned: 119 (million)
% 2.95/1.13 % (1105122)lrs+10_1_sil=8000:sp=occurrence:random_seed=695649185:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.95/1.13 % (1105079)Instruction limit reached!
% 2.95/1.13 % (1105079)------------------------------
% 2.95/1.13 % (1105079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (1105079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (1105079)CaDiCaL version: 2.1.3
% 2.95/1.13 % (1105079)Termination reason: Instruction limit
% 2.95/1.13 % (1105079)Termination phase: Saturation
% 2.95/1.13 % (1105079)Time elapsed: 0.087 s
% 2.95/1.13 % (1105079)Peak memory usage: 89 MB
% 2.95/1.13 % (1105079)Instructions burned: 130 (million)
% 2.95/1.13 % (1105122)Instruction limit reached!
% 2.95/1.13 % (1105122)------------------------------
% 2.95/1.13 % (1105122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.13 % (1105122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.13 % (1105122)CaDiCaL version: 2.1.3
% 2.95/1.13 % (1105122)Termination reason: Instruction limit
% 2.95/1.13 % (1105122)Termination phase: Saturation
% 2.95/1.13 % (1105122)Time elapsed: 0.100 s
% 2.95/1.13 % (1105122)Peak memory usage: 90 MB
% 2.95/1.13 % (1105122)Instructions burned: 287 (million)
% 2.95/1.13 % (1105128)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3971199336:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.95/1.13 % (1105129)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2634215654:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.95/1.13 % (1105128)Also succeeded, but the first one will report.
% 2.95/1.13 % (1105129)Also succeeded, but the first one will report.
% 2.95/1.13 % (1105130)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1809310923:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.95/1.13 % (1105078)Refutation found. Thanks to Tanya!
% 2.95/1.13 % SZS status Theorem for theBenchmark
% 2.95/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.32 % (1105078)------------------------------
% 3.90/1.32 % (1105078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.32 % (1105078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.32 % (1105078)CaDiCaL version: 2.1.3
% 3.90/1.32 % (1105078)Termination reason: Refutation
% 3.90/1.32 % (1105078)Time elapsed: 0.031 s
% 3.90/1.32 % (1105078)Peak memory usage: 90 MB
% 3.90/1.32 % (1105078)Instructions burned: 44 (million)
% 3.90/1.32 % (1105078)------------------------------
% 3.90/1.32 % (1105078)------------------------------
% 3.90/1.32 % (1104976)Success in time 0.454 s
% 3.90/1.32 % Vampire exiting
%------------------------------------------------------------------------------