%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV474+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:15:54 PM UTC 2026
% Result : Theorem 6.80s 1.83s
% Output : Refutation 8.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 35
% Syntax : Number of formulae : 211 ( 96 unt; 30 def)
% Number of atoms : 1017 ( 448 equ)
% Maximal formula atoms : 75 ( 4 avg)
% Number of connectives : 1349 ( 543 ~; 458 |; 271 &)
% ( 14 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 35 con; 0-2 aty)
% Number of variables : 350 ( 2 sgn 323 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( host(X5) = nbr_proc
=> ~ elem(m_NotNorm(X4),queue(host(X5))) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& host(X5) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ elem(m_Down(X4),queue(host(X6))) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& host(X5) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ elem(m_Down(X4),queue(host(X6))) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [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))) ) )
& 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 )
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X9,X10,X11] :
( host(X2) = host(X11)
=> ( ( ! [X8] :
( ( ~ leq(host(X11),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X2)))
| X8 = host(X3)
| X8 = host(X10) ) )
& elem(m_Down(X10),X0)
& host(X11) = host(X9)
& host(X11) = nbr_proc
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X9),queue(host(X4))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( host(X5) = nbr_proc
=> ~ elem(m_NotNorm(X4),queue(host(X5))) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( index(status,host(X4)) = elec_1
| index(status,host(X4)) = elec_2 )
& setIn(X4,alive) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& host(X5) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ elem(m_Down(X4),queue(host(X6))) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& host(X5) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ elem(m_Down(X4),queue(host(X6))) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& elem(m_Down(X7),queue(host(X6))) ) )
& ! [X4,X7,X6,X5] :
( ( host(X6) != host(X4)
& setIn(X4,alive)
& setIn(X6,alive)
& host(X7) = host(X4)
& host(X5) = host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(host(X7),index(down,host(X6))) ) )
& ! [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))) ) )
& 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 )
=> ! [X4] :
( host(X2) != host(X4)
=> ! [X9,X10,X11] :
( host(X2) = host(X11)
=> ( ( ! [X8] :
( ( ~ leq(host(X11),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X2)))
| X8 = host(X3)
| X8 = host(X10) ) )
& elem(m_Down(X10),X0)
& host(X11) = host(X9)
& host(X11) = nbr_proc
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X9),queue(host(X4))) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X8,X9] :
( nbr_proc = host(X9)
=> ~ elem(m_NotNorm(X8),queue(host(X9))) )
& ! [X10,X11] :
( ( X10 != X11
& host(X11) = host(X10) )
=> ( ~ setIn(X10,alive)
| ~ setIn(X11,alive) ) )
& ! [X12] :
( ( ( elec_1 = index(status,host(X12))
| elec_2 = index(status,host(X12)) )
& setIn(X12,alive) )
=> index(elid,host(X12)) = X12 )
& ! [X13,X14,X15] :
( ( host(X15) != host(X14)
& setIn(X15,alive)
& host(X15) = host(X13)
& norm = index(status,host(X15))
& host(X14) = index(ldr,host(X15)) )
=> ~ elem(m_Down(X13),queue(host(X14))) )
& ! [X16,X17,X18] :
( ( host(X18) != host(X17)
& setIn(X18,alive)
& host(X18) = host(X16)
& wait = index(status,host(X18))
& host(X17) = host(index(elid,host(X18))) )
=> ~ elem(m_Down(X16),queue(host(X17))) )
& ! [X19,X20,X21,X22] :
( ( host(X19) != host(X21)
& setIn(X19,alive)
& setIn(X21,alive)
& host(X19) = host(X20)
& host(X21) = host(X22) )
=> ~ ( elem(m_Down(X22),queue(host(X19)))
& elem(m_Down(X20),queue(host(X21))) ) )
& ! [X23,X24,X25,X26] :
( ( host(X23) != host(X25)
& setIn(X23,alive)
& setIn(X25,alive)
& host(X23) = host(X24)
& host(X25) = host(X26) )
=> ~ ( elem(m_Down(X26),queue(host(X23)))
& setIn(host(X24),index(down,host(X25))) ) )
& ! [X27,X28,X29,X30] :
( ( ! [X31] :
( ( ~ leq(host(X30),X31)
& leq(s(zero),X31) )
=> ( setIn(X31,index(down,host(X30)))
| host(X29) = X31 ) )
& elem(m_Down(X29),queue(host(X30)))
& nbr_proc = host(X30)
& host(X30) = host(X28)
& elec_1 = index(status,host(X30)) )
=> ~ ( setIn(X27,alive)
& elem(m_Down(X28),queue(host(X27))) ) )
& 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))) ) )
=> ( ~ ( ! [X32] :
( ( ~ leq(host(X2),X32)
& leq(s(zero),X32) )
=> ( setIn(X32,index(down,host(X2)))
| host(X3) = X32 ) )
& index(status,host(X2)) = elec_1 )
=> ! [X33] :
( host(X2) != host(X33)
=> ! [X34,X35,X36] :
( host(X2) = host(X36)
=> ( ( ! [X37] :
( ( ~ leq(host(X36),X37)
& leq(s(zero),X37) )
=> ( setIn(X37,index(down,host(X2)))
| host(X3) = X37
| host(X35) = X37 ) )
& elem(m_Down(X35),X0)
& host(X36) = host(X34)
& nbr_proc = host(X36)
& elec_1 = index(status,host(X36)) )
=> ~ ( setIn(X33,alive)
& elem(m_Down(X34),queue(host(X33))) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X33] :
( ? [X34,X35,X36] :
( setIn(X33,alive)
& elem(m_Down(X34),queue(host(X33)))
& ! [X37] :
( setIn(X37,index(down,host(X2)))
| host(X3) = X37
| host(X35) = X37
| leq(host(X36),X37)
| ~ leq(s(zero),X37) )
& elem(m_Down(X35),X0)
& host(X36) = host(X34)
& nbr_proc = host(X36)
& elec_1 = index(status,host(X36))
& host(X2) = host(X36) )
& host(X2) != host(X33) )
& ( ? [X32] :
( ~ setIn(X32,index(down,host(X2)))
& host(X3) != X32
& ~ leq(host(X2),X32)
& leq(s(zero),X32) )
| elec_1 != index(status,host(X2)) )
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ elem(m_NotNorm(X8),queue(host(X9)))
| nbr_proc != host(X9) )
& ! [X10,X11] :
( ~ setIn(X10,alive)
| ~ setIn(X11,alive)
| X10 = X11
| host(X11) != host(X10) )
& ! [X12] :
( index(elid,host(X12)) = X12
| ( elec_1 != index(status,host(X12))
& elec_2 != index(status,host(X12)) )
| ~ setIn(X12,alive) )
& ! [X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X14)))
| host(X15) = host(X14)
| ~ setIn(X15,alive)
| host(X15) != host(X13)
| norm != index(status,host(X15))
| host(X14) != index(ldr,host(X15)) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X16),queue(host(X17)))
| host(X18) = host(X17)
| ~ setIn(X18,alive)
| host(X18) != host(X16)
| wait != index(status,host(X18))
| host(X17) != host(index(elid,host(X18))) )
& ! [X19,X20,X21,X22] :
( ~ elem(m_Down(X22),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X21)))
| host(X19) = host(X21)
| ~ setIn(X19,alive)
| ~ setIn(X21,alive)
| host(X19) != host(X20)
| host(X21) != host(X22) )
& ! [X23,X24,X25,X26] :
( ~ elem(m_Down(X26),queue(host(X23)))
| ~ setIn(host(X24),index(down,host(X25)))
| host(X23) = host(X25)
| ~ setIn(X23,alive)
| ~ setIn(X25,alive)
| host(X23) != host(X24)
| host(X25) != host(X26) )
& ! [X27,X28,X29,X30] :
( ~ setIn(X27,alive)
| ~ elem(m_Down(X28),queue(host(X27)))
| ? [X31] :
( ~ setIn(X31,index(down,host(X30)))
& host(X29) != X31
& ~ leq(host(X30),X31)
& leq(s(zero),X31) )
| ~ elem(m_Down(X29),queue(host(X30)))
| nbr_proc != host(X30)
| host(X30) != host(X28)
| elec_1 != index(status,host(X30)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X33] :
( ? [X34,X35,X36] :
( setIn(X33,alive)
& elem(m_Down(X34),queue(host(X33)))
& ! [X37] :
( setIn(X37,index(down,host(X2)))
| host(X3) = X37
| host(X35) = X37
| leq(host(X36),X37)
| ~ leq(s(zero),X37) )
& elem(m_Down(X35),X0)
& host(X36) = host(X34)
& nbr_proc = host(X36)
& elec_1 = index(status,host(X36))
& host(X2) = host(X36) )
& host(X2) != host(X33) )
& ( ? [X32] :
( ~ setIn(X32,index(down,host(X2)))
& host(X3) != X32
& ~ leq(host(X2),X32)
& leq(s(zero),X32) )
| elec_1 != index(status,host(X2)) )
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ elem(m_NotNorm(X8),queue(host(X9)))
| nbr_proc != host(X9) )
& ! [X10,X11] :
( ~ setIn(X10,alive)
| ~ setIn(X11,alive)
| X10 = X11
| host(X11) != host(X10) )
& ! [X12] :
( index(elid,host(X12)) = X12
| ( elec_1 != index(status,host(X12))
& elec_2 != index(status,host(X12)) )
| ~ setIn(X12,alive) )
& ! [X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X14)))
| host(X15) = host(X14)
| ~ setIn(X15,alive)
| host(X15) != host(X13)
| norm != index(status,host(X15))
| host(X14) != index(ldr,host(X15)) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X16),queue(host(X17)))
| host(X18) = host(X17)
| ~ setIn(X18,alive)
| host(X18) != host(X16)
| wait != index(status,host(X18))
| host(X17) != host(index(elid,host(X18))) )
& ! [X19,X20,X21,X22] :
( ~ elem(m_Down(X22),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X21)))
| host(X19) = host(X21)
| ~ setIn(X19,alive)
| ~ setIn(X21,alive)
| host(X19) != host(X20)
| host(X21) != host(X22) )
& ! [X23,X24,X25,X26] :
( ~ elem(m_Down(X26),queue(host(X23)))
| ~ setIn(host(X24),index(down,host(X25)))
| host(X23) = host(X25)
| ~ setIn(X23,alive)
| ~ setIn(X25,alive)
| host(X23) != host(X24)
| host(X25) != host(X26) )
& ! [X27,X28,X29,X30] :
( ~ setIn(X27,alive)
| ~ elem(m_Down(X28),queue(host(X27)))
| ? [X31] :
( ~ setIn(X31,index(down,host(X30)))
& host(X29) != X31
& ~ leq(host(X30),X31)
& leq(s(zero),X31) )
| ~ elem(m_Down(X29),queue(host(X30)))
| nbr_proc != host(X30)
| host(X30) != host(X28)
| elec_1 != index(status,host(X30)) )
& 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(f112,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5,X6] :
( setIn(X3,alive)
& elem(m_Down(X4),queue(host(X3)))
& ! [X7] :
( setIn(X7,index(down,host(X1)))
| host(X2) = X7
| host(X5) = X7
| leq(host(X6),X7)
| ~ leq(s(zero),X7) )
& elem(m_Down(X5),X0)
& host(X4) = host(X6)
& nbr_proc = host(X6)
& elec_1 = index(status,host(X6))
& host(X1) = host(X6) )
& host(X1) != host(X3) )
& ( ? [X8] :
( ~ setIn(X8,index(down,host(X1)))
& host(X2) != X8
& ~ leq(host(X1),X8)
& leq(s(zero),X8) )
| 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)
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Ldr(X10),queue(host(X9))) )
& ! [X11,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X11))) )
& ! [X13,X14] :
( ~ elem(m_NotNorm(X13),queue(host(X14)))
| nbr_proc != host(X14) )
& ! [X15,X16] :
( ~ setIn(X15,alive)
| ~ setIn(X16,alive)
| X15 = X16
| host(X15) != host(X16) )
& ! [X17] :
( index(elid,host(X17)) = X17
| ( elec_1 != index(status,host(X17))
& elec_2 != index(status,host(X17)) )
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| host(X19) = host(X20)
| ~ setIn(X20,alive)
| host(X18) != host(X20)
| norm != index(status,host(X20))
| host(X19) != index(ldr,host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) = host(X23)
| ~ setIn(X23,alive)
| host(X21) != host(X23)
| wait != index(status,host(X23))
| host(X22) != host(index(elid,host(X23))) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X27),queue(host(X24)))
| ~ elem(m_Down(X25),queue(host(X26)))
| host(X24) = host(X26)
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X24)
| host(X26) != host(X27) )
& ! [X28,X29,X30,X31] :
( ~ elem(m_Down(X31),queue(host(X28)))
| ~ setIn(host(X29),index(down,host(X30)))
| host(X30) = host(X28)
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| host(X29) != host(X28)
| host(X30) != host(X31) )
& ! [X32,X33,X34,X35] :
( ~ setIn(X32,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ? [X36] :
( ~ setIn(X36,index(down,host(X35)))
& host(X34) != X36
& ~ leq(host(X35),X36)
& leq(s(zero),X36) )
| ~ elem(m_Down(X34),queue(host(X35)))
| nbr_proc != host(X35)
| host(X33) != host(X35)
| elec_1 != index(status,host(X35)) )
& queue(host(X1)) = cons(m_Down(X2),X0) ),
inference(rectify,[],[f86]) ).
fof(f113,plain,
( setIn(sK6,alive)
& elem(m_Down(sK7),queue(host(sK6)))
& ! [X7] :
( setIn(X7,index(down,host(sK4)))
| host(sK5) = X7
| host(sK8) = X7
| leq(host(sK9),X7)
| ~ leq(s(zero),X7) )
& elem(m_Down(sK8),sK3)
& host(sK9) = host(sK7)
& nbr_proc = host(sK9)
& elec_1 = index(status,host(sK9))
& host(sK4) = host(sK9)
& host(sK6) != host(sK4)
& ( ( ~ setIn(sK10,index(down,host(sK4)))
& host(sK5) != sK10
& ~ leq(host(sK4),sK10)
& leq(s(zero),sK10) )
| 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)
& ! [X9,X10] :
( ~ leq(host(X9),host(X10))
| ~ elem(m_Ldr(X10),queue(host(X9))) )
& ! [X11,X12] :
( host(X11) != host(X12)
| ~ elem(m_Down(X12),queue(host(X11))) )
& ! [X13,X14] :
( ~ elem(m_NotNorm(X13),queue(host(X14)))
| nbr_proc != host(X14) )
& ! [X15,X16] :
( ~ setIn(X15,alive)
| ~ setIn(X16,alive)
| X15 = X16
| host(X15) != host(X16) )
& ! [X17] :
( index(elid,host(X17)) = X17
| ( elec_1 != index(status,host(X17))
& elec_2 != index(status,host(X17)) )
| ~ setIn(X17,alive) )
& ! [X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| host(X19) = host(X20)
| ~ setIn(X20,alive)
| host(X18) != host(X20)
| norm != index(status,host(X20))
| host(X19) != index(ldr,host(X20)) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) = host(X23)
| ~ setIn(X23,alive)
| host(X21) != host(X23)
| wait != index(status,host(X23))
| host(X22) != host(index(elid,host(X23))) )
& ! [X24,X25,X26,X27] :
( ~ elem(m_Down(X27),queue(host(X24)))
| ~ elem(m_Down(X25),queue(host(X26)))
| host(X24) = host(X26)
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X24)
| host(X26) != host(X27) )
& ! [X28,X29,X30,X31] :
( ~ elem(m_Down(X31),queue(host(X28)))
| ~ setIn(host(X29),index(down,host(X30)))
| host(X30) = host(X28)
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| host(X29) != host(X28)
| host(X30) != host(X31) )
& ! [X32,X33,X34,X35] :
( ~ setIn(X32,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ( ~ setIn(sK11(X34,X35),index(down,host(X35)))
& host(X34) != sK11(X34,X35)
& ~ leq(host(X35),sK11(X34,X35))
& leq(s(zero),sK11(X34,X35)) )
| ~ elem(m_Down(X34),queue(host(X35)))
| nbr_proc != host(X35)
| host(X33) != host(X35)
| elec_1 != index(status,host(X35)) )
& queue(host(sK4)) = cons(m_Down(sK5),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X8,sK10),skolemize(X36,sK11(X34,X35))],[f112]) ).
fof(f117,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f168,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f93]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f210,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f215,plain,
! [X31,X28,X29,X30] :
( ~ elem(m_Down(X31),queue(host(X28)))
| ~ setIn(host(X29),index(down,host(X30)))
| host(X30) = host(X28)
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| host(X29) != host(X28)
| host(X30) != host(X31) ),
inference(cnf_transformation,[],[f113]) ).
fof(f216,plain,
! [X26,X27,X24,X25] :
( ~ elem(m_Down(X27),queue(host(X24)))
| ~ elem(m_Down(X25),queue(host(X26)))
| host(X24) = host(X26)
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X24)
| host(X26) != host(X27) ),
inference(cnf_transformation,[],[f113]) ).
fof(f225,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f229,plain,
( leq(s(zero),sK10)
| elec_1 != index(status,host(sK4)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f230,plain,
( ~ leq(host(sK4),sK10)
| elec_1 != index(status,host(sK4)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f231,plain,
( host(sK5) != sK10
| elec_1 != index(status,host(sK4)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f232,plain,
( ~ setIn(sK10,index(down,host(sK4)))
| elec_1 != index(status,host(sK4)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f233,plain,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
host(sK4) = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
elec_1 = index(status,host(sK9)),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
nbr_proc = host(sK9),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
host(sK9) = host(sK7),
inference(cnf_transformation,[],[f113]) ).
fof(f238,plain,
elem(m_Down(sK8),sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f239,plain,
! [X7] :
( setIn(X7,index(down,host(sK4)))
| host(sK5) = X7
| host(sK8) = X7
| leq(host(sK9),X7)
| ~ leq(s(zero),X7) ),
inference(cnf_transformation,[],[f113]) ).
fof(f240,plain,
elem(m_Down(sK7),queue(host(sK6))),
inference(cnf_transformation,[],[f113]) ).
fof(f241,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f113]) ).
fof(f248,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f168]) ).
fof(f255,definition,
sF12 = m_Down(sK7),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f256,plain,
m_Down(sK7) = sF12,
inference(reorient_equations,[],[f255]) ).
fof(f257,definition,
sF13 = host(sK6),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f258,plain,
host(sK6) = sF13,
inference(reorient_equations,[],[f257]) ).
fof(f259,definition,
sF14 = queue(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f260,plain,
queue(sF13) = sF14,
inference(reorient_equations,[],[f259]) ).
fof(f261,plain,
elem(sF12,sF14),
inference(definition_folding,[],[f240,f260,f258,f256]) ).
fof(f262,definition,
sF15 = host(sK4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f263,plain,
host(sK4) = sF15,
inference(reorient_equations,[],[f262]) ).
fof(f264,definition,
sF16 = index(down,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f265,plain,
index(down,sF15) = sF16,
inference(reorient_equations,[],[f264]) ).
fof(f266,definition,
sF17 = host(sK5),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f267,plain,
host(sK5) = sF17,
inference(reorient_equations,[],[f266]) ).
fof(f268,definition,
sF18 = host(sK8),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f269,plain,
host(sK8) = sF18,
inference(reorient_equations,[],[f268]) ).
fof(f270,definition,
sF19 = host(sK9),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f271,plain,
host(sK9) = sF19,
inference(reorient_equations,[],[f270]) ).
fof(f272,definition,
sF20 = s(zero),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f273,plain,
s(zero) = sF20,
inference(reorient_equations,[],[f272]) ).
fof(f274,plain,
! [X7] :
( setIn(X7,sF16)
| sF17 = X7
| sF18 = X7
| leq(sF19,X7)
| ~ leq(sF20,X7) ),
inference(definition_folding,[],[f239,f273,f271,f269,f267,f265,f263]) ).
fof(f275,definition,
sF21 = m_Down(sK8),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f276,plain,
m_Down(sK8) = sF21,
inference(reorient_equations,[],[f275]) ).
fof(f277,plain,
elem(sF21,sK3),
inference(definition_folding,[],[f238,f276]) ).
fof(f278,definition,
sF22 = host(sK7),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f279,plain,
host(sK7) = sF22,
inference(reorient_equations,[],[f278]) ).
fof(f280,plain,
sF19 = sF22,
inference(definition_folding,[],[f237,f279,f271]) ).
fof(f281,plain,
nbr_proc = sF19,
inference(definition_folding,[],[f236,f271]) ).
fof(f282,definition,
sF23 = index(status,sF19),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f283,plain,
index(status,sF19) = sF23,
inference(reorient_equations,[],[f282]) ).
fof(f284,plain,
elec_1 = sF23,
inference(definition_folding,[],[f235,f283,f271]) ).
fof(f285,plain,
sF15 = sF19,
inference(definition_folding,[],[f234,f271,f263]) ).
fof(f286,plain,
sF13 != sF15,
inference(definition_folding,[],[f233,f263,f258]) ).
fof(f287,definition,
sF24 = index(status,sF15),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f288,plain,
index(status,sF15) = sF24,
inference(reorient_equations,[],[f287]) ).
fof(f289,plain,
( ~ setIn(sK10,sF16)
| elec_1 != sF24 ),
inference(definition_folding,[],[f232,f288,f263,f265,f263]) ).
fof(f290,plain,
( sK10 != sF17
| elec_1 != sF24 ),
inference(definition_folding,[],[f231,f288,f263,f267]) ).
fof(f291,plain,
( ~ leq(sF15,sK10)
| elec_1 != sF24 ),
inference(definition_folding,[],[f230,f288,f263,f263]) ).
fof(f292,plain,
( leq(sF20,sK10)
| elec_1 != sF24 ),
inference(definition_folding,[],[f229,f288,f263,f273]) ).
fof(f302,definition,
! [X9] : sF28(X9) = queue(host(X9)),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f303,plain,
! [X9] : queue(host(X9)) = sF28(X9),
inference(reorient_equations,[],[f302]) ).
fof(f319,plain,
! [X26,X27,X24,X25] :
( host(X26) != host(X27)
| ~ elem(m_Down(X25),sF28(X26))
| host(X24) = host(X26)
| ~ setIn(X24,alive)
| ~ setIn(X26,alive)
| host(X25) != host(X24)
| ~ elem(m_Down(X27),sF28(X24)) ),
inference(definition_folding,[],[f216,f303,f303]) ).
fof(f320,definition,
! [X30] : sF33(X30) = index(down,host(X30)),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f321,plain,
! [X30] : index(down,host(X30)) = sF33(X30),
inference(reorient_equations,[],[f320]) ).
fof(f322,plain,
! [X31,X28,X29,X30] :
( host(X30) != host(X31)
| ~ setIn(host(X29),sF33(X30))
| host(X30) = host(X28)
| ~ setIn(X28,alive)
| ~ setIn(X30,alive)
| host(X29) != host(X28)
| ~ elem(m_Down(X31),sF28(X28)) ),
inference(definition_folding,[],[f215,f321,f303]) ).
fof(f327,definition,
sF34 = queue(sF15),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f328,plain,
queue(sF15) = sF34,
inference(reorient_equations,[],[f327]) ).
fof(f329,definition,
sF35 = m_Down(sK5),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f330,plain,
m_Down(sK5) = sF35,
inference(reorient_equations,[],[f329]) ).
fof(f331,definition,
sF36 = cons(sF35,sK3),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f332,plain,
cons(sF35,sK3) = sF36,
inference(reorient_equations,[],[f331]) ).
fof(f333,plain,
sF34 = sF36,
inference(definition_folding,[],[f210,f332,f330,f328,f263]) ).
fof(f353,definition,
( spl37_5
<=> elec_1 = sF24 ),
introduced(definition,[new_symbols(definition,[spl37_5])],[avatar_definition]) ).
fof(f357,definition,
( spl37_6
<=> leq(sF20,sK10) ),
introduced(definition,[new_symbols(definition,[spl37_6])],[avatar_definition]) ).
fof(f359,plain,
( leq(sF20,sK10)
| ~ spl37_6 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( ~ spl37_5
| spl37_6 ),
inference(avatar_split_clause,[],[f292,f357,f353]) ).
fof(f362,definition,
( spl37_7
<=> leq(sF15,sK10) ),
introduced(definition,[new_symbols(definition,[spl37_7])],[avatar_definition]) ).
fof(f364,plain,
( ~ leq(sF15,sK10)
| spl37_7 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f365,plain,
( ~ spl37_5
| ~ spl37_7 ),
inference(avatar_split_clause,[],[f291,f362,f353]) ).
fof(f367,definition,
( spl37_8
<=> sK10 = sF17 ),
introduced(definition,[new_symbols(definition,[spl37_8])],[avatar_definition]) ).
fof(f369,plain,
( sK10 != sF17
| spl37_8 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f370,plain,
( ~ spl37_5
| ~ spl37_8 ),
inference(avatar_split_clause,[],[f290,f367,f353]) ).
fof(f372,definition,
( spl37_9
<=> setIn(sK10,sF16) ),
introduced(definition,[new_symbols(definition,[spl37_9])],[avatar_definition]) ).
fof(f374,plain,
( ~ setIn(sK10,sF16)
| spl37_9 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f375,plain,
( ~ spl37_5
| ~ spl37_9 ),
inference(avatar_split_clause,[],[f289,f372,f353]) ).
fof(f376,plain,
nbr_proc = sF15,
inference(forward_demodulation,[],[f281,f285]) ).
fof(f377,plain,
sF15 = sF22,
inference(forward_demodulation,[],[f280,f285]) ).
fof(f378,plain,
! [X7] :
( ~ leq(sF20,X7)
| setIn(X7,sF16)
| sF17 = X7
| sF18 = X7
| leq(sF15,X7) ),
inference(forward_demodulation,[],[f274,f285]) ).
fof(f380,plain,
elec_1 = index(status,sF19),
inference(forward_demodulation,[],[f283,f284]) ).
fof(f381,plain,
sF34 = cons(sF35,sK3),
inference(forward_demodulation,[],[f332,f333]) ).
fof(f382,plain,
elec_1 = index(status,sF15),
inference(forward_demodulation,[],[f380,f285]) ).
fof(f383,plain,
elec_1 = sF24,
inference(forward_demodulation,[],[f382,f288]) ).
fof(f384,plain,
spl37_5,
inference(avatar_split_clause,[],[f383,f353]) ).
fof(f388,plain,
leq(sF13,nbr_proc),
inference(superposition,[],[f119,f258]) ).
fof(f389,plain,
leq(sF13,sF15),
inference(forward_demodulation,[],[f388,f376]) ).
fof(f397,plain,
( setIn(sK10,sF16)
| sK10 = sF17
| sK10 = sF18
| leq(sF15,sK10)
| ~ spl37_6 ),
inference(resolution,[],[f359,f378]) ).
fof(f398,plain,
( sK10 = sF17
| sK10 = sF18
| leq(sF15,sK10)
| ~ spl37_6
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f397,f374]) ).
fof(f399,plain,
( sK10 = sF18
| leq(sF15,sK10)
| ~ spl37_6
| spl37_8
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f398,f369]) ).
fof(f400,plain,
( sK10 = sF18
| ~ spl37_6
| spl37_7
| spl37_8
| spl37_9 ),
inference(forward_subsumption_resolution,[],[f399,f364]) ).
fof(f405,plain,
! [X0] :
( ~ elem(X0,sK3)
| elem(X0,sF34) ),
inference(superposition,[],[f167,f381]) ).
fof(f406,plain,
elem(sF21,sF34),
inference(resolution,[],[f405,f277]) ).
fof(f409,plain,
leq(s(zero),sF13),
inference(superposition,[],[f117,f258]) ).
fof(f416,plain,
leq(sF20,sF13),
inference(forward_demodulation,[],[f409,f273]) ).
fof(f443,plain,
queue(sF15) = sF28(sK4),
inference(superposition,[],[f303,f263]) ).
fof(f445,plain,
queue(sF13) = sF28(sK6),
inference(superposition,[],[f303,f258]) ).
fof(f453,plain,
sF14 = sF28(sK6),
inference(forward_demodulation,[],[f445,f260]) ).
fof(f454,plain,
sF34 = sF28(sK4),
inference(forward_demodulation,[],[f443,f328]) ).
fof(f456,plain,
! [X2,X0,X1] :
( host(X0) != sF15
| ~ elem(m_Down(X1),sF28(sK4))
| host(X2) = sF15
| ~ setIn(X2,alive)
| ~ setIn(sK4,alive)
| host(X1) != host(X2)
| ~ elem(m_Down(X0),sF28(X2)) ),
inference(superposition,[],[f319,f263]) ).
fof(f495,plain,
! [X2,X0,X1] :
( host(X0) != sF15
| ~ elem(m_Down(X1),sF28(sK4))
| host(X2) = sF15
| ~ setIn(X2,alive)
| host(X1) != host(X2)
| ~ elem(m_Down(X0),sF28(X2)) ),
inference(forward_subsumption_resolution,[],[f456,f225]) ).
fof(f503,definition,
( spl37_15
<=> ! [X2,X0,X1] :
( ~ elem(m_Down(X1),sF34)
| host(X1) != host(X2)
| host(X2) = sF15
| ~ setIn(X2,alive)
| host(X0) != sF15
| ~ elem(m_Down(X0),sF28(X2)) ) ),
introduced(definition,[new_symbols(definition,[spl37_15])],[avatar_definition]) ).
fof(f504,plain,
( ! [X2,X0,X1] :
( host(X1) != host(X2)
| ~ elem(m_Down(X1),sF34)
| host(X2) = sF15
| ~ setIn(X2,alive)
| host(X0) != sF15
| ~ elem(m_Down(X0),sF28(X2)) )
| ~ spl37_15 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f509,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X1),sF34)
| host(X0) != sF15
| host(X2) = sF15
| ~ setIn(X2,alive)
| host(X1) != host(X2)
| ~ elem(m_Down(X0),sF28(X2)) ),
inference(forward_demodulation,[],[f495,f454]) ).
fof(f519,plain,
spl37_15,
inference(avatar_split_clause,[],[f509,f503]) ).
fof(f533,plain,
( ! [X0,X1] :
( host(X0) != sF13
| ~ elem(m_Down(X0),sF34)
| sF13 = sF15
| ~ setIn(sK6,alive)
| host(X1) != sF15
| ~ elem(m_Down(X1),sF28(sK6)) )
| ~ spl37_15 ),
inference(superposition,[],[f504,f258]) ).
fof(f538,plain,
( ! [X0,X1] :
( host(X0) != sF13
| ~ elem(m_Down(X0),sF34)
| ~ setIn(sK6,alive)
| host(X1) != sF15
| ~ elem(m_Down(X1),sF28(sK6)) )
| ~ spl37_15 ),
inference(forward_subsumption_resolution,[],[f533,f286]) ).
fof(f558,plain,
( ! [X0,X1] :
( host(X0) != sF13
| ~ elem(m_Down(X0),sF34)
| host(X1) != sF15
| ~ elem(m_Down(X1),sF28(sK6)) )
| ~ spl37_15 ),
inference(forward_subsumption_resolution,[],[f538,f241]) ).
fof(f564,definition,
( spl37_24
<=> elem(sF35,sF34) ),
introduced(definition,[new_symbols(definition,[spl37_24])],[avatar_definition]) ).
fof(f565,plain,
( elem(sF35,sF34)
| ~ spl37_24 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f566,plain,
( ~ elem(sF35,sF34)
| spl37_24 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f568,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X1),sF14)
| host(X0) != sF13
| ~ elem(m_Down(X0),sF34)
| host(X1) != sF15 )
| ~ spl37_15 ),
inference(forward_demodulation,[],[f558,f453]) ).
fof(f571,definition,
( spl37_25
<=> ! [X0] :
( host(X0) != sF13
| ~ elem(m_Down(X0),sF34) ) ),
introduced(definition,[new_symbols(definition,[spl37_25])],[avatar_definition]) ).
fof(f572,plain,
( ! [X0] :
( host(X0) != sF13
| ~ elem(m_Down(X0),sF34) )
| ~ spl37_25 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,definition,
( spl37_26
<=> ! [X1] :
( ~ elem(m_Down(X1),sF14)
| host(X1) != sF15 ) ),
introduced(definition,[new_symbols(definition,[spl37_26])],[avatar_definition]) ).
fof(f575,plain,
( ! [X1] :
( host(X1) != sF15
| ~ elem(m_Down(X1),sF14) )
| ~ spl37_26 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f576,plain,
( spl37_25
| spl37_26
| ~ spl37_15 ),
inference(avatar_split_clause,[],[f568,f503,f574,f571]) ).
fof(f578,plain,
( sF13 != sF17
| ~ elem(m_Down(sK5),sF34)
| ~ spl37_25 ),
inference(superposition,[],[f572,f267]) ).
fof(f581,plain,
( sF13 != sF18
| ~ elem(m_Down(sK8),sF34)
| ~ spl37_25 ),
inference(superposition,[],[f572,f269]) ).
fof(f585,plain,
( sK10 != sF13
| ~ elem(m_Down(sK8),sF34)
| ~ spl37_6
| spl37_7
| spl37_8
| spl37_9
| ~ spl37_25 ),
inference(forward_demodulation,[],[f581,f400]) ).
fof(f587,plain,
( ~ elem(sF35,sF34)
| sF13 != sF17
| ~ spl37_25 ),
inference(forward_demodulation,[],[f578,f330]) ).
fof(f588,plain,
( ~ elem(sF21,sF34)
| sK10 != sF13
| ~ spl37_6
| spl37_7
| spl37_8
| spl37_9
| ~ spl37_25 ),
inference(forward_demodulation,[],[f585,f276]) ).
fof(f589,plain,
( sK10 != sF13
| ~ spl37_6
| spl37_7
| spl37_8
| spl37_9
| ~ spl37_25 ),
inference(forward_subsumption_resolution,[],[f588,f406]) ).
fof(f658,plain,
! [X2,X0,X1] :
( host(X0) != sF15
| ~ setIn(host(X1),sF33(sK4))
| host(X2) = sF15
| ~ setIn(X2,alive)
| ~ setIn(sK4,alive)
| host(X1) != host(X2)
| ~ elem(m_Down(X0),sF28(X2)) ),
inference(superposition,[],[f322,f263]) ).
fof(f683,plain,
! [X2,X0,X1] :
( host(X1) != host(X2)
| ~ setIn(host(X1),sF33(sK4))
| host(X2) = sF15
| ~ setIn(X2,alive)
| host(X0) != sF15
| ~ elem(m_Down(X0),sF28(X2)) ),
inference(forward_subsumption_resolution,[],[f658,f225]) ).
fof(f757,plain,
( ~ leq(sF15,sF13)
| sF13 = sF15 ),
inference(resolution,[],[f200,f389]) ).
fof(f793,plain,
~ leq(sF15,sF13),
inference(forward_subsumption_resolution,[],[f757,f286]) ).
fof(f984,plain,
( setIn(sF13,sF16)
| sF13 = sF17
| sF13 = sF18
| leq(sF15,sF13) ),
inference(resolution,[],[f416,f378]) ).
fof(f995,plain,
( setIn(sF13,sF16)
| sF13 = sF17
| sF13 = sF18 ),
inference(forward_subsumption_resolution,[],[f984,f793]) ).
fof(f996,plain,
( sK10 = sF13
| setIn(sF13,sF16)
| sF13 = sF17
| ~ spl37_6
| spl37_7
| spl37_8
| spl37_9 ),
inference(forward_demodulation,[],[f995,f400]) ).
fof(f997,plain,
( setIn(sF13,sF16)
| sF13 = sF17
| ~ spl37_6
| spl37_7
| spl37_8
| spl37_9
| ~ spl37_25 ),
inference(forward_subsumption_resolution,[],[f996,f589]) ).
fof(f999,definition,
( spl37_70
<=> sF13 = sF17 ),
introduced(definition,[new_symbols(definition,[spl37_70])],[avatar_definition]) ).
fof(f1001,plain,
( sF13 = sF17
| ~ spl37_70 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1003,definition,
( spl37_71
<=> setIn(sF13,sF16) ),
introduced(definition,[new_symbols(definition,[spl37_71])],[avatar_definition]) ).
fof(f1005,plain,
( setIn(sF13,sF16)
| ~ spl37_71 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1006,plain,
( spl37_70
| spl37_71
| ~ spl37_6
| spl37_7
| spl37_8
| spl37_9
| ~ spl37_25 ),
inference(avatar_split_clause,[],[f997,f571,f372,f367,f362,f357,f1003,f999]) ).
fof(f1015,plain,
( sF15 != sF22
| ~ elem(m_Down(sK7),sF14)
| ~ spl37_26 ),
inference(superposition,[],[f575,f279]) ).
fof(f1022,plain,
( ~ elem(m_Down(sK7),sF14)
| ~ spl37_26 ),
inference(forward_subsumption_resolution,[],[f1015,f377]) ).
fof(f1023,plain,
( ~ elem(sF12,sF14)
| ~ spl37_26 ),
inference(forward_demodulation,[],[f1022,f256]) ).
fof(f1024,plain,
( $false
| ~ spl37_26 ),
inference(forward_subsumption_resolution,[],[f1023,f261]) ).
fof(f1025,plain,
~ spl37_26,
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1071,plain,
elem(sF35,sF34),
inference(superposition,[],[f248,f381]) ).
fof(f1072,plain,
( $false
| spl37_24 ),
inference(forward_subsumption_resolution,[],[f1071,f566]) ).
fof(f1073,plain,
spl37_24,
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1074,plain,
( sF13 != sF17
| ~ spl37_24
| ~ spl37_25 ),
inference(forward_subsumption_resolution,[],[f587,f565]) ).
fof(f1077,plain,
( $false
| ~ spl37_24
| ~ spl37_25
| ~ spl37_70 ),
inference(forward_subsumption_resolution,[],[f1074,f1001]) ).
fof(f1078,plain,
( ~ spl37_24
| ~ spl37_25
| ~ spl37_70 ),
inference(avatar_contradiction_clause,[],[f1077]) ).
fof(f1147,plain,
index(down,sF15) = sF33(sK4),
inference(superposition,[],[f321,f263]) ).
fof(f1158,plain,
sF16 = sF33(sK4),
inference(forward_demodulation,[],[f1147,f265]) ).
fof(f1297,plain,
! [X0,X1] :
( host(X0) != sF13
| ~ setIn(host(X0),sF33(sK4))
| sF13 = sF15
| ~ setIn(sK6,alive)
| host(X1) != sF15
| ~ elem(m_Down(X1),sF28(sK6)) ),
inference(superposition,[],[f683,f258]) ).
fof(f1303,plain,
! [X0,X1] :
( host(X0) != sF13
| ~ setIn(host(X0),sF33(sK4))
| ~ setIn(sK6,alive)
| host(X1) != sF15
| ~ elem(m_Down(X1),sF28(sK6)) ),
inference(forward_subsumption_resolution,[],[f1297,f286]) ).
fof(f1308,plain,
! [X0,X1] :
( host(X0) != sF13
| ~ setIn(host(X0),sF33(sK4))
| host(X1) != sF15
| ~ elem(m_Down(X1),sF28(sK6)) ),
inference(forward_subsumption_resolution,[],[f1303,f241]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ setIn(host(X0),sF16)
| host(X0) != sF13
| host(X1) != sF15
| ~ elem(m_Down(X1),sF28(sK6)) ),
inference(forward_demodulation,[],[f1308,f1158]) ).
fof(f1312,plain,
! [X0,X1] :
( ~ elem(m_Down(X1),sF14)
| ~ setIn(host(X0),sF16)
| host(X0) != sF13
| host(X1) != sF15 ),
inference(forward_demodulation,[],[f1310,f453]) ).
fof(f1314,definition,
( spl37_74
<=> ! [X0] :
( ~ setIn(host(X0),sF16)
| host(X0) != sF13 ) ),
introduced(definition,[new_symbols(definition,[spl37_74])],[avatar_definition]) ).
fof(f1315,plain,
( ! [X0] :
( host(X0) != sF13
| ~ setIn(host(X0),sF16) )
| ~ spl37_74 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1316,plain,
( spl37_74
| spl37_26 ),
inference(avatar_split_clause,[],[f1312,f574,f1314]) ).
fof(f1319,plain,
( sF13 != sF13
| ~ setIn(sF13,sF16)
| ~ spl37_74 ),
inference(superposition,[],[f1315,f258]) ).
fof(f1324,plain,
( ~ setIn(sF13,sF16)
| ~ spl37_74 ),
inference(trivial_inequality_removal,[],[f1319]) ).
fof(f1328,plain,
( $false
| ~ spl37_71
| ~ spl37_74 ),
inference(forward_subsumption_resolution,[],[f1324,f1005]) ).
fof(f1329,plain,
( ~ spl37_71
| ~ spl37_74 ),
inference(avatar_contradiction_clause,[],[f1328]) ).
cnf(s3,plain,
( ~ spl37_5
| spl37_6 ),
inference(sat_conversion,[],[f360]) ).
cnf(s4,plain,
( ~ spl37_5
| ~ spl37_7 ),
inference(sat_conversion,[],[f365]) ).
cnf(s5,plain,
( ~ spl37_5
| ~ spl37_8 ),
inference(sat_conversion,[],[f370]) ).
cnf(s6,plain,
( ~ spl37_5
| ~ spl37_9 ),
inference(sat_conversion,[],[f375]) ).
cnf(s7,plain,
spl37_5,
inference(sat_conversion,[],[f384]) ).
cnf(s12,plain,
spl37_15,
inference(sat_conversion,[],[f519]) ).
cnf(s17,plain,
( ~ spl37_15
| spl37_25
| spl37_26 ),
inference(sat_conversion,[],[f576]) ).
cnf(s53,plain,
( ~ spl37_6
| spl37_7
| spl37_8
| spl37_9
| ~ spl37_25
| spl37_70
| spl37_71 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s55,plain,
~ spl37_26,
inference(sat_conversion,[],[f1025]) ).
cnf(s56,plain,
spl37_24,
inference(sat_conversion,[],[f1073]) ).
cnf(s58,plain,
( ~ spl37_24
| ~ spl37_25
| ~ spl37_70 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s63,plain,
( spl37_26
| spl37_74 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s64,plain,
( ~ spl37_71
| ~ spl37_74 ),
inference(sat_conversion,[],[f1329]) ).
cnf(s65,plain,
spl37_74,
inference(rat,[],[s63,s55]) ).
cnf(s66,plain,
~ spl37_71,
inference(rat,[],[s64,s65]) ).
cnf(s68,plain,
( ~ spl37_6
| spl37_7
| spl37_8
| spl37_9
| ~ spl37_25
| spl37_70 ),
inference(rat,[],[s53,s66]) ).
cnf(s75,plain,
( ~ spl37_15
| spl37_25 ),
inference(rat,[],[s17,s55]) ).
cnf(s77,plain,
spl37_25,
inference(rat,[],[s75,s12]) ).
cnf(s79,plain,
~ spl37_70,
inference(rat,[],[s58,s56,s77]) ).
cnf(s83,plain,
~ spl37_9,
inference(rat,[],[s6,s7]) ).
cnf(s84,plain,
~ spl37_8,
inference(rat,[],[s5,s7]) ).
cnf(s85,plain,
~ spl37_7,
inference(rat,[],[s4,s7]) ).
cnf(s86,plain,
~ spl37_6,
inference(rat,[],[s68,s79,s77,s83,s84,s85]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s3,s86,s7]) ).
fof(f1330,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV474+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.19 % Computer : n003.cluster.edu
% 0.05/0.19 % Model : x86_64 x86_64
% 0.05/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.19 % Memory : 8046.5625MB
% 0.05/0.19 % OS : Linux 6.8.0-71-generic
% 0.05/0.19 % CPULimit : 300
% 0.05/0.19 % WCLimit : 300
% 0.05/0.19 % DateTime : Mon Sep 28 11:12:57 UTC 2026
% 0.05/0.19 % CPUTime :
% 0.05/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.23 Running first-order theorem proving
% 0.05/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.80/1.83 % (1518382)Detected formulas, will run a generic FOF schedule.
% 6.80/1.83 % (1518390)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2662522735:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.80/1.83 % (1518390)Instruction limit reached!
% 6.80/1.83 % (1518390)------------------------------
% 6.80/1.83 % (1518390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518390)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518390)Termination reason: Instruction limit
% 6.80/1.83 % (1518390)Termination phase: Saturation
% 6.80/1.83 % (1518390)Time elapsed: 0.038 s
% 6.80/1.83 % (1518390)Peak memory usage: 90 MB
% 6.80/1.83 % (1518390)Instructions burned: 110 (million)
% 6.80/1.83 % (1518391)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1908380819:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.80/1.83 % (1518387)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=2551622099:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.80/1.83 % (1518388)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=1091878686:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.80/1.83 % (1518389)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=2552680718:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.80/1.83 % (1518393)dis-21_1_sil=8000:lcm=predicate:random_seed=1570483123: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)
% 6.80/1.83 % (1518392)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2625501717:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.80/1.83 % (1518391)Instruction limit reached!
% 6.80/1.83 % (1518391)------------------------------
% 6.80/1.83 % (1518391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518391)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518391)Termination reason: Instruction limit
% 6.80/1.83 % (1518391)Termination phase: Saturation
% 6.80/1.83 % (1518391)Time elapsed: 0.071 s
% 6.80/1.83 % (1518391)Peak memory usage: 88 MB
% 6.80/1.83 % (1518391)Instructions burned: 119 (million)
% 6.80/1.83 % (1518393)Instruction limit reached!
% 6.80/1.83 % (1518393)------------------------------
% 6.80/1.83 % (1518393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518393)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518393)Termination reason: Instruction limit
% 6.80/1.83 % (1518393)Termination phase: Saturation
% 6.80/1.83 % (1518393)Time elapsed: 0.076 s
% 6.80/1.83 % (1518393)Peak memory usage: 88 MB
% 6.80/1.83 % (1518393)Instructions burned: 130 (million)
% 6.80/1.83 % (1518392)Instruction limit reached!
% 6.80/1.83 % (1518392)------------------------------
% 6.80/1.83 % (1518392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518392)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518392)Termination reason: Instruction limit
% 6.80/1.83 % (1518392)Termination phase: Saturation
% 6.80/1.83 % (1518392)Time elapsed: 0.103 s
% 6.80/1.83 % (1518392)Peak memory usage: 90 MB
% 6.80/1.83 % (1518392)Instructions burned: 140 (million)
% 6.80/1.83 % (1518395)lrs+10_1_sil=8000:sp=occurrence:random_seed=1045824116:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.80/1.83 % (1518402)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1210427765:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.80/1.83 % (1518395)Instruction limit reached!
% 6.80/1.83 % (1518395)------------------------------
% 6.80/1.83 % (1518395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518395)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518395)Termination reason: Instruction limit
% 6.80/1.83 % (1518395)Termination phase: Saturation
% 6.80/1.83 % (1518395)Time elapsed: 0.098 s
% 6.80/1.83 % (1518395)Peak memory usage: 91 MB
% 6.80/1.83 % (1518395)Instructions burned: 287 (million)
% 6.80/1.83 % (1518403)lrs+1011_1_sil=32000:sp=occurrence:random_seed=391221899:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.80/1.83 % (1518404)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=129471366:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.80/1.83 % (1518402)Instruction limit reached!
% 6.80/1.83 % (1518402)------------------------------
% 6.80/1.83 % (1518402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518402)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518402)Termination reason: Instruction limit
% 6.80/1.83 % (1518402)Termination phase: Saturation
% 6.80/1.83 % (1518402)Time elapsed: 0.093 s
% 6.80/1.83 % (1518402)Peak memory usage: 90 MB
% 6.80/1.83 % (1518402)Instructions burned: 158 (million)
% 6.80/1.83 % (1518407)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=778521050:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.80/1.83 % (1518404)Instruction limit reached!
% 6.80/1.83 % (1518404)------------------------------
% 6.80/1.83 % (1518404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518404)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518404)Termination reason: Instruction limit
% 6.80/1.83 % (1518404)Termination phase: Saturation
% 6.80/1.83 % (1518404)Time elapsed: 0.151 s
% 6.80/1.83 % (1518404)Peak memory usage: 92 MB
% 6.80/1.83 % (1518404)Instructions burned: 248 (million)
% 6.80/1.83 % (1518407)Instruction limit reached!
% 6.80/1.83 % (1518407)------------------------------
% 6.80/1.83 % (1518407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518407)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518407)Termination reason: Instruction limit
% 6.80/1.83 % (1518407)Termination phase: Saturation
% 6.80/1.83 % (1518407)Time elapsed: 0.089 s
% 6.80/1.83 % (1518407)Peak memory usage: 89 MB
% 6.80/1.83 % (1518407)Instructions burned: 297 (million)
% 6.80/1.83 % (1518403)Instruction limit reached!
% 6.80/1.83 % (1518403)------------------------------
% 6.80/1.83 % (1518403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518403)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518403)Termination reason: Instruction limit
% 6.80/1.83 % (1518403)Termination phase: Saturation
% 6.80/1.83 % (1518403)Time elapsed: 0.223 s
% 6.80/1.83 % (1518403)Peak memory usage: 91 MB
% 6.80/1.83 % (1518403)Instructions burned: 325 (million)
% 6.80/1.83 % (1518410)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2288495277:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.80/1.83 % (1518413)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=410568218:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.80/1.83 % (1518412)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=178382862:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.80/1.83 % (1518413)Instruction limit reached!
% 6.80/1.83 % (1518413)------------------------------
% 6.80/1.83 % (1518413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518413)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518413)Termination reason: Instruction limit
% 6.80/1.83 % (1518413)Termination phase: Saturation
% 6.80/1.83 % (1518413)Time elapsed: 0.034 s
% 6.80/1.83 % (1518413)Peak memory usage: 88 MB
% 6.80/1.83 % (1518413)Instructions burned: 127 (million)
% 6.80/1.83 % (1518414)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2862129614:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.80/1.83 % (1518412)Instruction limit reached!
% 6.80/1.83 % (1518412)------------------------------
% 6.80/1.83 % (1518412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518412)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518412)Termination reason: Instruction limit
% 6.80/1.83 % (1518412)Termination phase: Saturation
% 6.80/1.83 % (1518412)Time elapsed: 0.077 s
% 6.80/1.83 % (1518412)Peak memory usage: 89 MB
% 6.80/1.83 % (1518412)Instructions burned: 114 (million)
% 6.80/1.83 % (1518414)Instruction limit reached!
% 6.80/1.83 % (1518414)------------------------------
% 6.80/1.83 % (1518414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.83 % (1518414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.83 % (1518414)CaDiCaL version: 2.1.3
% 6.80/1.83 % (1518414)Termination reason: Instruction limit
% 6.80/1.83 % (1518414)Termination phase: Saturation
% 6.80/1.83 % (1518414)Time elapsed: 0.066 s
% 6.80/1.83 % (1518414)Peak memory usage: 89 MB
% 6.80/1.83 % (1518414)Instructions burned: 116 (million)
% 6.80/1.83 % (1518418)lrs+10_1_sil=8000:sp=occurrence:random_seed=3482192523:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.80/1.83 % (1518387)First to succeed.
% 6.80/1.83 % (1518387)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1518382"
% 6.80/1.83 % (1518388)Also succeeded, but the first one will report.
% 6.80/1.83 % (1518420)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1963399417:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.80/1.83 % (1518421)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=746494796:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.80/1.83 % (1518387)Refutation found. Thanks to Tanya!
% 6.80/1.83 % SZS status Theorem for theBenchmark
% 6.80/1.83 % SZS output start Proof for theBenchmark
% See solution above
% 8.70/2.01 % (1518387)------------------------------
% 8.70/2.01 % (1518387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.01 % (1518387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.01 % (1518387)CaDiCaL version: 2.1.3
% 8.70/2.01 % (1518387)Termination reason: Refutation
% 8.70/2.01 % (1518387)Time elapsed: 0.716 s
% 8.70/2.01 % (1518387)Peak memory usage: 130 MB
% 8.70/2.01 % (1518387)Instructions burned: 1076 (million)
% 8.70/2.01 % (1518387)------------------------------
% 8.70/2.01 % (1518387)------------------------------
% 8.70/2.01 % (1518382)Success in time 1.154 s
% 8.70/2.01 % Vampire exiting
%------------------------------------------------------------------------------