%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV448+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:24:18 PM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 69 ( 19 unt; 3 def)
% Number of atoms : 505 ( 242 equ)
% Maximal formula atoms : 65 ( 7 avg)
% Number of connectives : 677 ( 241 ~; 199 |; 175 &)
% ( 5 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-2 aty)
% Number of variables : 169 ( 2 sgn 155 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( 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)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& leq(nbr_proc,index(pendack,host(X5)))
& index(status,host(X5)) = elec_2
& host(X6) = index(pendack,host(X5)) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X6),queue(host(X5)))
& leq(nbr_proc,index(pendack,host(X5)))
& index(status,host(X5)) = elec_2
& host(X6) = index(pendack,host(X5)) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& ~ leq(host(X5),host(X4))
& elem(m_Down(X6),queue(host(X5)))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( leq(nbr_proc,host(X2))
=> ! [X4] :
( ~ setIn(host(X4),setEmpty)
=> ! [X7] :
( host(X2) = host(X7)
=> ! [X8] :
( host(X2) != host(X8)
=> ( ( setIn(X7,alive)
& setIn(X8,alive)
& host(X2) = host(X7)
& index(ldr,host(X8)) = host(X8)
& index(status,host(X8)) = norm )
=> X8 = X7 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( ( X5 != X4
& host(X5) = host(X4) )
=> ( ~ setIn(X4,alive)
| ~ setIn(X5,alive) ) )
& ! [X4] :
( ( ( 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)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> X5 = X4 )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& leq(nbr_proc,index(pendack,host(X5)))
& index(status,host(X5)) = elec_2
& host(X6) = index(pendack,host(X5)) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& elem(m_Ack(X5,X6),queue(host(X5)))
& leq(nbr_proc,index(pendack,host(X5)))
& index(status,host(X5)) = elec_2
& host(X6) = index(pendack,host(X5)) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [X4,X6,X5] :
( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& ~ leq(host(X5),host(X4))
& elem(m_Down(X6),queue(host(X5)))
& index(status,host(X5)) = elec_1 )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( index(ldr,host(X2)) = host(X3)
& index(status,host(X2)) = norm )
| ( index(status,host(X2)) = wait
& host(X3) = host(index(elid,host(X2))) ) )
=> ( ( ! [X4] :
( ( ~ leq(host(X2),X4)
& leq(s(zero),X4) )
=> ( setIn(X4,index(down,host(X2)))
| X4 = host(X3) ) )
& index(status,host(X2)) = elec_1 )
=> ( leq(nbr_proc,host(X2))
=> ! [X4] :
( ~ setIn(host(X4),setEmpty)
=> ! [X7] :
( host(X2) = host(X7)
=> ! [X8] :
( host(X2) != host(X8)
=> ( ( setIn(X7,alive)
& setIn(X8,alive)
& host(X2) = host(X7)
& index(ldr,host(X8)) = host(X8)
& index(status,host(X8)) = norm )
=> X8 = X7 ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( ( X6 != X7
& host(X6) = host(X7) )
=> ( ~ setIn(X6,alive)
| ~ setIn(X7,alive) ) )
& ! [X8] :
( ( ( elec_1 = index(status,host(X8))
| elec_2 = index(status,host(X8)) )
& setIn(X8,alive) )
=> index(elid,host(X8)) = X8 )
& ! [X9,X10] :
( ( setIn(X9,alive)
& setIn(X10,alive)
& host(X9) = index(ldr,host(X9))
& norm = index(status,host(X9))
& norm = index(status,host(X10))
& host(X10) = index(ldr,host(X10)) )
=> X9 = X10 )
& ! [X11,X12,X13] :
( ( setIn(X13,alive)
& elem(m_Down(X12),queue(host(X13)))
& leq(nbr_proc,index(pendack,host(X13)))
& elec_2 = index(status,host(X13))
& index(pendack,host(X13)) = host(X12) )
=> ~ ( setIn(X11,alive)
& host(X11) = index(ldr,host(X11))
& norm = index(status,host(X11)) ) )
& ! [X14,X15,X16] :
( ( setIn(X16,alive)
& elem(m_Ack(X16,X15),queue(host(X16)))
& leq(nbr_proc,index(pendack,host(X16)))
& elec_2 = index(status,host(X16))
& index(pendack,host(X16)) = host(X15) )
=> ~ ( setIn(X14,alive)
& host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14)) ) )
& ! [X17,X18,X19] :
( ( ! [X20] :
( ( ~ leq(host(X19),X20)
& leq(s(zero),X20) )
=> ( setIn(X20,index(down,host(X19)))
| host(X18) = X20 ) )
& ~ leq(host(X19),host(X17))
& elem(m_Down(X18),queue(host(X19)))
& elec_1 = index(status,host(X19)) )
=> ~ ( setIn(X17,alive)
& host(X17) = index(ldr,host(X17))
& norm = index(status,host(X17)) ) )
& 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))) ) )
=> ( ( ! [X21] :
( ( ~ leq(host(X2),X21)
& leq(s(zero),X21) )
=> ( setIn(X21,index(down,host(X2)))
| host(X3) = X21 ) )
& index(status,host(X2)) = elec_1 )
=> ( leq(nbr_proc,host(X2))
=> ! [X22] :
( ~ setIn(host(X22),setEmpty)
=> ! [X23] :
( host(X2) = host(X23)
=> ! [X24] :
( host(X2) != host(X24)
=> ( ( setIn(X23,alive)
& setIn(X24,alive)
& host(X2) = host(X23)
& host(X24) = index(ldr,host(X24))
& norm = index(status,host(X24)) )
=> X23 = X24 ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X22] :
( ? [X23] :
( ? [X24] :
( X23 != X24
& setIn(X23,alive)
& setIn(X24,alive)
& host(X2) = host(X23)
& host(X24) = index(ldr,host(X24))
& norm = index(status,host(X24))
& host(X2) != host(X24) )
& host(X2) = host(X23) )
& ~ setIn(host(X22),setEmpty) )
& leq(nbr_proc,host(X2))
& ! [X21] :
( setIn(X21,index(down,host(X2)))
| host(X3) = X21
| leq(host(X2),X21)
| ~ leq(s(zero),X21) )
& index(status,host(X2)) = elec_1
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| X6 = X7
| host(X6) != host(X7) )
& ! [X8] :
( index(elid,host(X8)) = X8
| ( elec_1 != index(status,host(X8))
& elec_2 != index(status,host(X8)) )
| ~ setIn(X8,alive) )
& ! [X9,X10] :
( X9 = X10
| ~ setIn(X9,alive)
| ~ setIn(X10,alive)
| host(X9) != index(ldr,host(X9))
| norm != index(status,host(X9))
| norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10)) )
& ! [X11,X12,X13] :
( ~ setIn(X11,alive)
| host(X11) != index(ldr,host(X11))
| norm != index(status,host(X11))
| ~ setIn(X13,alive)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,index(pendack,host(X13)))
| elec_2 != index(status,host(X13))
| index(pendack,host(X13)) != host(X12) )
& ! [X14,X15,X16] :
( ~ setIn(X14,alive)
| host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| ~ setIn(X16,alive)
| ~ elem(m_Ack(X16,X15),queue(host(X16)))
| ~ leq(nbr_proc,index(pendack,host(X16)))
| elec_2 != index(status,host(X16))
| index(pendack,host(X16)) != host(X15) )
& ! [X17,X18,X19] :
( ~ setIn(X17,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| ? [X20] :
( ~ setIn(X20,index(down,host(X19)))
& host(X18) != X20
& ~ leq(host(X19),X20)
& leq(s(zero),X20) )
| leq(host(X19),host(X17))
| ~ elem(m_Down(X18),queue(host(X19)))
| elec_1 != index(status,host(X19)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X22] :
( ? [X23] :
( ? [X24] :
( X23 != X24
& setIn(X23,alive)
& setIn(X24,alive)
& host(X2) = host(X23)
& host(X24) = index(ldr,host(X24))
& norm = index(status,host(X24))
& host(X2) != host(X24) )
& host(X2) = host(X23) )
& ~ setIn(host(X22),setEmpty) )
& leq(nbr_proc,host(X2))
& ! [X21] :
( setIn(X21,index(down,host(X2)))
| host(X3) = X21
| leq(host(X2),X21)
| ~ leq(s(zero),X21) )
& index(status,host(X2)) = elec_1
& ( host(X3) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& ( wait != index(status,host(X2))
| host(X3) != host(index(elid,host(X2))) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| X6 = X7
| host(X6) != host(X7) )
& ! [X8] :
( index(elid,host(X8)) = X8
| ( elec_1 != index(status,host(X8))
& elec_2 != index(status,host(X8)) )
| ~ setIn(X8,alive) )
& ! [X9,X10] :
( X9 = X10
| ~ setIn(X9,alive)
| ~ setIn(X10,alive)
| host(X9) != index(ldr,host(X9))
| norm != index(status,host(X9))
| norm != index(status,host(X10))
| host(X10) != index(ldr,host(X10)) )
& ! [X11,X12,X13] :
( ~ setIn(X11,alive)
| host(X11) != index(ldr,host(X11))
| norm != index(status,host(X11))
| ~ setIn(X13,alive)
| ~ elem(m_Down(X12),queue(host(X13)))
| ~ leq(nbr_proc,index(pendack,host(X13)))
| elec_2 != index(status,host(X13))
| index(pendack,host(X13)) != host(X12) )
& ! [X14,X15,X16] :
( ~ setIn(X14,alive)
| host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| ~ setIn(X16,alive)
| ~ elem(m_Ack(X16,X15),queue(host(X16)))
| ~ leq(nbr_proc,index(pendack,host(X16)))
| elec_2 != index(status,host(X16))
| index(pendack,host(X16)) != host(X15) )
& ! [X17,X18,X19] :
( ~ setIn(X17,alive)
| host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| ? [X20] :
( ~ setIn(X20,index(down,host(X19)))
& host(X18) != X20
& ~ leq(host(X19),X20)
& leq(s(zero),X20) )
| leq(host(X19),host(X17))
| ~ elem(m_Down(X18),queue(host(X19)))
| elec_1 != index(status,host(X19)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f92,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f141,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f173,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f183,plain,
host(sK4) != host(sK9),
inference(cnf_transformation,[],[f86]) ).
fof(f184,plain,
norm = index(status,host(sK9)),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
host(sK9) = index(ldr,host(sK9)),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
setIn(sK9,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f191,plain,
! [X18,X19,X17] :
( ~ setIn(X17,alive)
| ~ elem(m_Down(X18),queue(host(X19)))
| leq(host(X19),host(X17))
| leq(s(zero),sK7(X18,X19))
| norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| elec_1 != index(status,host(X19)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f192,plain,
! [X18,X19,X17] :
( ~ setIn(X17,alive)
| ~ elem(m_Down(X18),queue(host(X19)))
| leq(host(X19),host(X17))
| ~ leq(host(X19),sK7(X18,X19))
| norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| elec_1 != index(status,host(X19)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f193,plain,
! [X18,X19,X17] :
( ~ setIn(X17,alive)
| ~ elem(m_Down(X18),queue(host(X19)))
| leq(host(X19),host(X17))
| host(X18) != sK7(X18,X19)
| norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| elec_1 != index(status,host(X19)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f194,plain,
! [X18,X19,X17] :
( ~ setIn(sK7(X18,X19),index(down,host(X19)))
| ~ setIn(X17,alive)
| leq(host(X19),host(X17))
| elec_1 != index(status,host(X19))
| norm != index(status,host(X17))
| host(X17) != index(ldr,host(X17))
| ~ elem(m_Down(X18),queue(host(X19))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f198,plain,
! [X21] :
( setIn(X21,index(down,host(sK4)))
| leq(host(sK4),X21)
| host(sK5) = X21
| ~ leq(s(zero),X21) ),
inference(cnf_transformation,[],[f86]) ).
fof(f206,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f209,plain,
elec_1 = index(status,host(sK4)),
inference(cnf_transformation,[],[f86]) ).
fof(f210,plain,
leq(nbr_proc,host(sK4)),
inference(cnf_transformation,[],[f86]) ).
fof(f217,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f141]) ).
fof(f371,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| leq(host(X1),host(sK9))
| host(X0) != sK7(X0,X1)
| norm != index(status,host(sK9))
| host(sK9) != index(ldr,host(sK9))
| elec_1 != index(status,host(X1)) ),
inference(resolution,[],[f193,f187]) ).
fof(f376,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| leq(host(X1),host(sK9))
| host(X0) != sK7(X0,X1)
| host(sK9) != index(ldr,host(sK9))
| elec_1 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f371,f184]) ).
fof(f378,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| leq(host(X1),host(sK9))
| host(X0) != sK7(X0,X1)
| elec_1 != index(status,host(X1)) ),
inference(forward_subsumption_resolution,[],[f376,f185]) ).
fof(f383,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| leq(host(sK4),host(X1))
| elec_1 != index(status,host(sK4))
| norm != index(status,host(X1))
| host(X1) != index(ldr,host(X1))
| ~ elem(m_Down(X0),queue(host(sK4)))
| leq(host(sK4),sK7(X0,sK4))
| host(sK5) = sK7(X0,sK4)
| ~ leq(s(zero),sK7(X0,sK4)) ),
inference(resolution,[],[f194,f198]) ).
fof(f386,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| leq(host(sK4),host(X1))
| elec_1 != index(status,host(sK4))
| norm != index(status,host(X1))
| host(X1) != index(ldr,host(X1))
| ~ elem(m_Down(X0),queue(host(sK4)))
| host(sK5) = sK7(X0,sK4)
| ~ leq(s(zero),sK7(X0,sK4)) ),
inference(forward_subsumption_resolution,[],[f383,f192]) ).
fof(f388,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| leq(host(sK4),host(X1))
| elec_1 != index(status,host(sK4))
| norm != index(status,host(X1))
| host(X1) != index(ldr,host(X1))
| ~ elem(m_Down(X0),queue(host(sK4)))
| host(sK5) = sK7(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f386,f191]) ).
fof(f390,definition,
( spl10_10
<=> ! [X1] :
( ~ setIn(X1,alive)
| host(X1) != index(ldr,host(X1))
| norm != index(status,host(X1))
| leq(host(sK4),host(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f391,plain,
( ! [X1] :
( ~ setIn(X1,alive)
| host(X1) != index(ldr,host(X1))
| norm != index(status,host(X1))
| leq(host(sK4),host(X1)) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f396,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| leq(host(sK4),host(X1))
| norm != index(status,host(X1))
| host(X1) != index(ldr,host(X1))
| ~ elem(m_Down(X0),queue(host(sK4)))
| host(sK5) = sK7(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f388,f209]) ).
fof(f398,definition,
( spl10_12
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| host(sK5) = sK7(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f399,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| host(sK5) = sK7(X0,sK4) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f400,plain,
( spl10_12
| spl10_10 ),
inference(avatar_split_clause,[],[f396,f390,f398]) ).
fof(f401,plain,
( host(sK9) != index(ldr,host(sK9))
| norm != index(status,host(sK9))
| leq(host(sK4),host(sK9))
| ~ spl10_10 ),
inference(resolution,[],[f391,f187]) ).
fof(f409,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(superposition,[],[f217,f206]) ).
fof(f410,plain,
( leq(host(sK4),host(sK9))
| host(sK5) != sK7(sK5,sK4)
| elec_1 != index(status,host(sK4)) ),
inference(resolution,[],[f409,f378]) ).
fof(f500,plain,
! [X0] :
( ~ leq(nbr_proc,host(X0))
| host(X0) = nbr_proc ),
inference(resolution,[],[f173,f92]) ).
fof(f1036,plain,
nbr_proc = host(sK4),
inference(resolution,[],[f500,f210]) ).
fof(f1051,plain,
elem(m_Down(sK5),queue(nbr_proc)),
inference(superposition,[],[f409,f1036]) ).
fof(f1093,definition,
( spl10_23
<=> leq(nbr_proc,host(sK9)) ),
introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition]) ).
fof(f1094,plain,
( ~ leq(nbr_proc,host(sK9))
| spl10_23 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1095,plain,
( leq(nbr_proc,host(sK9))
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1181,plain,
( nbr_proc = host(sK9)
| ~ spl10_23 ),
inference(resolution,[],[f1095,f500]) ).
fof(f1186,plain,
( nbr_proc != host(sK4)
| ~ spl10_23 ),
inference(superposition,[],[f183,f1181]) ).
fof(f1210,plain,
( $false
| ~ spl10_23 ),
inference(forward_subsumption_resolution,[],[f1186,f1036]) ).
fof(f1211,plain,
~ spl10_23,
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1216,plain,
( norm != index(status,host(sK9))
| leq(host(sK4),host(sK9))
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f401,f185]) ).
fof(f1219,plain,
( leq(host(sK4),host(sK9))
| host(sK5) != sK7(sK5,sK4) ),
inference(forward_subsumption_resolution,[],[f410,f209]) ).
fof(f1225,plain,
( leq(host(sK4),host(sK9))
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f1216,f184]) ).
fof(f1228,plain,
( leq(nbr_proc,host(sK9))
| host(sK5) != sK7(sK5,sK4) ),
inference(forward_demodulation,[],[f1219,f1036]) ).
fof(f1234,plain,
( leq(nbr_proc,host(sK9))
| ~ spl10_10 ),
inference(forward_demodulation,[],[f1225,f1036]) ).
fof(f1237,plain,
( host(sK5) != sK7(sK5,sK4)
| spl10_23 ),
inference(forward_subsumption_resolution,[],[f1228,f1094]) ).
fof(f1243,plain,
( $false
| ~ spl10_10
| spl10_23 ),
inference(forward_subsumption_resolution,[],[f1234,f1094]) ).
fof(f1244,plain,
( ~ spl10_10
| spl10_23 ),
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1251,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(sK5) = sK7(X0,sK4) )
| ~ spl10_12 ),
inference(forward_demodulation,[],[f399,f1036]) ).
fof(f1581,plain,
( host(sK5) = sK7(sK5,sK4)
| ~ spl10_12 ),
inference(resolution,[],[f1051,f1251]) ).
fof(f1583,plain,
( $false
| ~ spl10_12
| spl10_23 ),
inference(forward_subsumption_resolution,[],[f1581,f1237]) ).
fof(f1584,plain,
( ~ spl10_12
| spl10_23 ),
inference(avatar_contradiction_clause,[],[f1583]) ).
cnf(s7,plain,
( spl10_10
| spl10_12 ),
inference(sat_conversion,[],[f400]) ).
cnf(s21,plain,
~ spl10_23,
inference(sat_conversion,[],[f1211]) ).
cnf(s22,plain,
( ~ spl10_10
| spl10_23 ),
inference(sat_conversion,[],[f1244]) ).
cnf(s24,plain,
( ~ spl10_12
| spl10_23 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s25,plain,
~ spl10_12,
inference(rat,[],[s24,s21]) ).
cnf(s26,plain,
~ spl10_10,
inference(rat,[],[s22,s21]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s7,s25,s26]) ).
fof(f1585,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV448+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n015.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 11:12:01 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.27 % (2552535)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2552544)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1152847539:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (2552541)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2552540)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3835544427_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (2552541)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1897184570:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (2552542)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=537675726:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (2552543)dis+10_1_sil=32000:sp=arity:random_seed=1788314088:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (2552545)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3251627326:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (2552546)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2601208706:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % Detected minimum model sizes of [4]
% 0.19/0.27 % Detected maximum model sizes of [max]
% 0.19/0.27 % TRYING [4]
% 0.19/0.27 % (2552544) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2552535-2552544"...
% 0.19/0.27 % (2552544)...printing done.
% 0.19/0.27 % (2552544)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (2552544)------------------------------
% 0.19/0.28 % (2552544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (2552544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (2552544)CaDiCaL version: 2.1.3
% 0.19/0.28 % (2552544)Termination reason: Refutation
% 0.19/0.28 % (2552544)Time elapsed: 0.023 s
% 0.19/0.28 % (2552544)Peak memory usage: 13 MB
% 0.19/0.28 % (2552544)Instructions burned: 67 (million)
% 0.19/0.28 % (2552535)Success in time 0.056 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------