%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV473+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:24:22 PM UTC 2026
% Result : Theorem 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 96 ( 23 unt; 6 def)
% Number of atoms : 642 ( 265 equ)
% Maximal formula atoms : 67 ( 6 avg)
% Number of connectives : 900 ( 354 ~; 303 |; 182 &)
% ( 7 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 20 con; 0-2 aty)
% Number of variables : 286 ( 0 sgn 268 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ! [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(X11)))
| 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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ! [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(X11)))
| 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,X1,X2,X3] :
( ( ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X8,X9] :
( 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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ~ ( index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ! [X32] :
( host(X2) != host(X32)
=> ! [X33,X34,X35] :
( host(X2) = host(X35)
=> ( ( ! [X36] :
( ( ~ leq(host(X35),X36)
& leq(s(zero),X36) )
=> ( setIn(X36,index(down,host(X35)))
| host(X34) = X36 ) )
& elem(m_Down(X34),X0)
& host(X35) = host(X33)
& nbr_proc = host(X35)
& elec_1 = index(status,host(X35)) )
=> ~ ( setIn(X32,alive)
& elem(m_Down(X33),queue(host(X32))) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f85,plain,
? [X0,X1,X2,X3] :
( ? [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),X0)
& host(X35) = host(X33)
& nbr_proc = host(X35)
& elec_1 = index(status,host(X35))
& host(X2) = host(X35) )
& host(X2) != host(X32) )
& ( index(elid,host(X2)) != X1
| elec_2 != index(status,host(X2))
| host(X3) != index(pendack,host(X2)) )
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ 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_Ack(X1,X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( ? [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),X0)
& host(X35) = host(X33)
& nbr_proc = host(X35)
& elec_1 = index(status,host(X35))
& host(X2) = host(X35) )
& host(X2) != host(X32) )
& ( index(elid,host(X2)) != X1
| elec_2 != index(status,host(X2))
| host(X3) != index(pendack,host(X2)) )
& setIn(X2,alive)
& ! [X4,X5] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Ldr(X5),queue(host(X4))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| ~ elem(m_Down(X7),queue(host(X6))) )
& ! [X8,X9] :
( ~ 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_Ack(X1,X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f140,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f183,plain,
! [X36] :
( ~ leq(s(zero),X36)
| leq(host(sK11),X36)
| host(sK10) = X36
| setIn(X36,index(down,host(sK11))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f184,plain,
host(sK11) = host(sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
elec_1 = index(status,host(sK11)),
inference(cnf_transformation,[],[f86]) ).
fof(f186,plain,
nbr_proc = host(sK11),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
host(sK11) = host(sK9),
inference(cnf_transformation,[],[f86]) ).
fof(f188,plain,
elem(m_Down(sK10),sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f189,plain,
elem(m_Down(sK9),queue(host(sK7))),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f191,plain,
! [X28,X29,X27,X30] :
( elec_1 != index(status,host(X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| leq(s(zero),sK8(X29,X30))
| ~ elem(m_Down(X28),queue(host(X27)))
| ~ setIn(X27,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f192,plain,
! [X28,X29,X27,X30] :
( elec_1 != index(status,host(X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ leq(host(X30),sK8(X29,X30))
| ~ elem(m_Down(X28),queue(host(X27)))
| ~ setIn(X27,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f193,plain,
! [X28,X29,X27,X30] :
( elec_1 != index(status,host(X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| host(X29) != sK8(X29,X30)
| ~ elem(m_Down(X28),queue(host(X27)))
| ~ setIn(X27,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f194,plain,
! [X28,X29,X27,X30] :
( elec_1 != index(status,host(X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(sK8(X29,X30),index(down,host(X30)))
| ~ elem(m_Down(X28),queue(host(X27)))
| ~ setIn(X27,alive) ),
inference(cnf_transformation,[],[f86]) ).
fof(f207,plain,
queue(host(sK5)) = cons(m_Ack(sK4,sK6),sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f273,plain,
! [X28,X29,X27,X30] :
( elec_1 != index(status,host(X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| setIn(sK8(X29,X30),index(down,host(X30)))
| ~ elem(m_Down(X28),queue(host(X27)))
| setIn(X27,alive) ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f274,plain,
! [X28,X29,X27,X30] :
( host(X29) != sK8(X29,X30)
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| elec_1 != index(status,host(X30))
| ~ elem(m_Down(X28),queue(host(X27)))
| setIn(X27,alive) ),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f275,plain,
! [X28,X29,X27,X30] :
( elec_1 != index(status,host(X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| leq(host(X30),sK8(X29,X30))
| ~ elem(m_Down(X28),queue(host(X27)))
| setIn(X27,alive) ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f276,plain,
! [X28,X29,X27,X30] :
( ~ leq(s(zero),sK8(X29,X30))
| host(X30) != host(X28)
| nbr_proc != host(X30)
| ~ elem(m_Down(X29),queue(host(X30)))
| elec_1 != index(status,host(X30))
| ~ elem(m_Down(X28),queue(host(X27)))
| setIn(X27,alive) ),
inference(consistent_polarity_flipping,[],[f191]) ).
fof(f277,plain,
~ setIn(sK7,alive),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f278,plain,
! [X36] :
( leq(s(zero),X36)
| ~ leq(host(sK11),X36)
| host(sK10) = X36
| ~ setIn(X36,index(down,host(sK11))) ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f292,plain,
nbr_proc = host(sK5),
inference(forward_demodulation,[],[f184,f186]) ).
fof(f293,plain,
nbr_proc = host(sK9),
inference(forward_demodulation,[],[f187,f186]) ).
fof(f295,plain,
elec_1 = index(status,nbr_proc),
inference(forward_demodulation,[],[f185,f186]) ).
fof(f297,plain,
cons(m_Ack(sK4,sK6),sK3) = queue(nbr_proc),
inference(forward_demodulation,[],[f207,f292]) ).
fof(f385,plain,
! [X36] :
( ~ leq(nbr_proc,X36)
| leq(s(zero),X36)
| host(sK10) = X36
| ~ setIn(X36,index(down,host(sK11))) ),
inference(forward_demodulation,[],[f278,f186]) ).
fof(f386,plain,
! [X36] :
( ~ leq(nbr_proc,X36)
| ~ setIn(X36,index(down,nbr_proc))
| leq(s(zero),X36)
| host(sK10) = X36 ),
inference(forward_demodulation,[],[f385,f186]) ).
fof(f428,plain,
! [X2,X0,X1] :
( elec_1 != index(status,nbr_proc)
| host(X0) != nbr_proc
| nbr_proc != nbr_proc
| ~ elem(m_Down(X1),queue(nbr_proc))
| leq(nbr_proc,sK8(X1,sK9))
| ~ elem(m_Down(X0),queue(host(X2)))
| setIn(X2,alive) ),
inference(superposition,[],[f275,f293]) ).
fof(f429,plain,
! [X2,X0,X1] :
( elec_1 != index(status,nbr_proc)
| host(X0) != nbr_proc
| ~ elem(m_Down(X1),queue(nbr_proc))
| leq(nbr_proc,sK8(X1,sK9))
| ~ elem(m_Down(X0),queue(host(X2)))
| setIn(X2,alive) ),
inference(trivial_inequality_removal,[],[f428]) ).
fof(f432,plain,
! [X2,X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X1),queue(nbr_proc))
| leq(nbr_proc,sK8(X1,sK9))
| ~ elem(m_Down(X0),queue(host(X2)))
| setIn(X2,alive) ),
inference(forward_subsumption_resolution,[],[f429,f295]) ).
fof(f436,definition,
( spl12_14
<=> ! [X1] :
( ~ elem(m_Down(X1),queue(nbr_proc))
| leq(nbr_proc,sK8(X1,sK9)) ) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f437,plain,
( ! [X1] :
( ~ elem(m_Down(X1),queue(nbr_proc))
| leq(nbr_proc,sK8(X1,sK9)) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,definition,
( spl12_15
<=> ! [X2,X0] :
( host(X0) != nbr_proc
| setIn(X2,alive)
| ~ elem(m_Down(X0),queue(host(X2))) ) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f440,plain,
( ! [X2,X0] :
( host(X0) != nbr_proc
| setIn(X2,alive)
| ~ elem(m_Down(X0),queue(host(X2))) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( spl12_14
| spl12_15 ),
inference(avatar_split_clause,[],[f432,f439,f436]) ).
fof(f452,plain,
! [X2,X0,X1] :
( elec_1 != index(status,nbr_proc)
| host(X0) != nbr_proc
| nbr_proc != nbr_proc
| ~ elem(m_Down(X1),queue(nbr_proc))
| setIn(sK8(X1,sK9),index(down,nbr_proc))
| ~ elem(m_Down(X0),queue(host(X2)))
| setIn(X2,alive) ),
inference(superposition,[],[f273,f293]) ).
fof(f453,plain,
! [X2,X0,X1] :
( elec_1 != index(status,nbr_proc)
| host(X0) != nbr_proc
| ~ elem(m_Down(X1),queue(nbr_proc))
| setIn(sK8(X1,sK9),index(down,nbr_proc))
| ~ elem(m_Down(X0),queue(host(X2)))
| setIn(X2,alive) ),
inference(trivial_inequality_removal,[],[f452]) ).
fof(f456,plain,
! [X2,X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X1),queue(nbr_proc))
| setIn(sK8(X1,sK9),index(down,nbr_proc))
| ~ elem(m_Down(X0),queue(host(X2)))
| setIn(X2,alive) ),
inference(forward_subsumption_resolution,[],[f453,f295]) ).
fof(f460,definition,
( spl12_18
<=> ! [X1] :
( ~ elem(m_Down(X1),queue(nbr_proc))
| setIn(sK8(X1,sK9),index(down,nbr_proc)) ) ),
introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition]) ).
fof(f461,plain,
( ! [X1] :
( setIn(sK8(X1,sK9),index(down,nbr_proc))
| ~ elem(m_Down(X1),queue(nbr_proc)) )
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( spl12_18
| spl12_15 ),
inference(avatar_split_clause,[],[f456,f439,f460]) ).
fof(f484,plain,
( ! [X0] :
( nbr_proc != nbr_proc
| setIn(X0,alive)
| ~ elem(m_Down(sK9),queue(host(X0))) )
| ~ spl12_15 ),
inference(superposition,[],[f440,f293]) ).
fof(f485,plain,
( ! [X0] :
( ~ elem(m_Down(sK9),queue(host(X0)))
| setIn(X0,alive) )
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f484]) ).
fof(f488,plain,
( setIn(sK7,alive)
| ~ spl12_15 ),
inference(resolution,[],[f485,f189]) ).
fof(f492,plain,
( $false
| ~ spl12_15 ),
inference(forward_subsumption_resolution,[],[f488,f277]) ).
fof(f493,plain,
~ spl12_15,
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f535,plain,
! [X0] :
( ~ elem(X0,sK3)
| elem(X0,queue(nbr_proc)) ),
inference(superposition,[],[f140,f297]) ).
fof(f536,plain,
elem(m_Down(sK10),queue(nbr_proc)),
inference(resolution,[],[f535,f188]) ).
fof(f541,plain,
( leq(nbr_proc,sK8(sK10,sK9))
| ~ spl12_14 ),
inference(resolution,[],[f536,f437]) ).
fof(f550,plain,
( ~ setIn(sK8(sK10,sK9),index(down,nbr_proc))
| leq(s(zero),sK8(sK10,sK9))
| host(sK10) = sK8(sK10,sK9)
| ~ spl12_14 ),
inference(resolution,[],[f541,f386]) ).
fof(f554,definition,
( spl12_21
<=> host(sK10) = sK8(sK10,sK9) ),
introduced(definition,[new_symbols(definition,[spl12_21])],[avatar_definition]) ).
fof(f556,plain,
( host(sK10) = sK8(sK10,sK9)
| ~ spl12_21 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f558,definition,
( spl12_22
<=> leq(s(zero),sK8(sK10,sK9)) ),
introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).
fof(f560,plain,
( leq(s(zero),sK8(sK10,sK9))
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f562,definition,
( spl12_23
<=> setIn(sK8(sK10,sK9),index(down,nbr_proc)) ),
introduced(definition,[new_symbols(definition,[spl12_23])],[avatar_definition]) ).
fof(f564,plain,
( ~ setIn(sK8(sK10,sK9),index(down,nbr_proc))
| spl12_23 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f565,plain,
( spl12_21
| spl12_22
| ~ spl12_23
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f550,f436,f562,f558,f554]) ).
fof(f693,plain,
( ~ elem(m_Down(sK10),queue(nbr_proc))
| ~ spl12_18
| spl12_23 ),
inference(resolution,[],[f564,f461]) ).
fof(f694,plain,
( $false
| ~ spl12_18
| spl12_23 ),
inference(forward_subsumption_resolution,[],[f693,f536]) ).
fof(f695,plain,
( ~ spl12_18
| spl12_23 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f766,plain,
( ! [X0,X1] :
( host(sK10) != host(sK10)
| host(X0) != host(sK9)
| nbr_proc != host(sK9)
| ~ elem(m_Down(sK10),queue(host(sK9)))
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_21 ),
inference(superposition,[],[f274,f556]) ).
fof(f767,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| nbr_proc != host(sK9)
| ~ elem(m_Down(sK10),queue(host(sK9)))
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_21 ),
inference(trivial_inequality_removal,[],[f766]) ).
fof(f768,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK10),queue(host(sK9)))
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_21 ),
inference(forward_subsumption_resolution,[],[f767,f293]) ).
fof(f770,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(sK10),queue(host(sK9)))
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_21 ),
inference(forward_demodulation,[],[f768,f293]) ).
fof(f771,plain,
( ! [X0,X1] :
( ~ elem(m_Down(sK10),queue(nbr_proc))
| host(X0) != nbr_proc
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_21 ),
inference(forward_demodulation,[],[f770,f293]) ).
fof(f772,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_21 ),
inference(forward_subsumption_resolution,[],[f771,f536]) ).
fof(f773,plain,
( ! [X0,X1] :
( elec_1 != index(status,nbr_proc)
| host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_21 ),
inference(forward_demodulation,[],[f772,f293]) ).
fof(f774,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_21 ),
inference(forward_subsumption_resolution,[],[f773,f295]) ).
fof(f775,plain,
( spl12_15
| ~ spl12_21 ),
inference(avatar_split_clause,[],[f774,f554,f439]) ).
fof(f784,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| nbr_proc != host(sK9)
| ~ elem(m_Down(sK10),queue(host(sK9)))
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_22 ),
inference(resolution,[],[f560,f276]) ).
fof(f798,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ elem(m_Down(sK10),queue(host(sK9)))
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f784,f293]) ).
fof(f799,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(sK10),queue(host(sK9)))
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_22 ),
inference(forward_demodulation,[],[f798,f293]) ).
fof(f800,plain,
( ! [X0,X1] :
( ~ elem(m_Down(sK10),queue(nbr_proc))
| host(X0) != nbr_proc
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_22 ),
inference(forward_demodulation,[],[f799,f293]) ).
fof(f801,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| elec_1 != index(status,host(sK9))
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f800,f536]) ).
fof(f802,plain,
( ! [X0,X1] :
( elec_1 != index(status,nbr_proc)
| host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_22 ),
inference(forward_demodulation,[],[f801,f293]) ).
fof(f803,plain,
( ! [X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive) )
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f802,f295]) ).
fof(f804,plain,
( spl12_15
| ~ spl12_22 ),
inference(avatar_split_clause,[],[f803,f558,f439]) ).
cnf(s12,plain,
( spl12_14
| spl12_15 ),
inference(sat_conversion,[],[f441]) ).
cnf(s15,plain,
( spl12_15
| spl12_18 ),
inference(sat_conversion,[],[f462]) ).
cnf(s18,plain,
~ spl12_15,
inference(sat_conversion,[],[f493]) ).
cnf(s19,plain,
( ~ spl12_14
| spl12_21
| spl12_22
| ~ spl12_23 ),
inference(sat_conversion,[],[f565]) ).
cnf(s24,plain,
( ~ spl12_18
| spl12_23 ),
inference(sat_conversion,[],[f695]) ).
cnf(s30,plain,
( spl12_15
| ~ spl12_21 ),
inference(sat_conversion,[],[f775]) ).
cnf(s32,plain,
( spl12_15
| ~ spl12_22 ),
inference(sat_conversion,[],[f804]) ).
cnf(s33,plain,
~ spl12_22,
inference(rat,[],[s32,s18]) ).
cnf(s34,plain,
~ spl12_21,
inference(rat,[],[s30,s18]) ).
cnf(s37,plain,
spl12_18,
inference(rat,[],[s15,s18]) ).
cnf(s38,plain,
spl12_23,
inference(rat,[],[s24,s37]) ).
cnf(s39,plain,
~ spl12_14,
inference(rat,[],[s19,s34,s33,s38]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s12,s18,s39]) ).
fof(f805,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV473+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.19 % Computer : n013.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 11:09:36 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.23 Running first-order model finding
% 0.12/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.30 % (1106264)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (1106271)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2055615164:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (1106270)% WARNING: option uhcvi not known.
% 0.21/0.30 % (1106269)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=417380203_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % (1106273)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2990007435:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (1106270)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1944266002:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (1106272)dis+10_1_sil=32000:sp=arity:random_seed=2394657918:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (1106274)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1865653994:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % (1106275)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2811523854:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % Detected minimum model sizes of [4]
% 0.21/0.30 % Detected maximum model sizes of [max]
% 0.21/0.30 % TRYING [4]
% 0.21/0.30 % (1106270) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1106264-1106270"...
% 0.21/0.30 % (1106270)...printing done.
% 0.21/0.30 % (1106270)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Theorem for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (1106270)------------------------------
% 0.21/0.31 % (1106270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (1106270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (1106270)CaDiCaL version: 2.1.3
% 0.21/0.31 % (1106270)Termination reason: Refutation
% 0.21/0.31 % (1106270)Time elapsed: 0.023 s
% 0.21/0.31 % (1106270)Peak memory usage: 13 MB
% 0.21/0.31 % (1106270)Instructions burned: 33 (million)
% 0.21/0.31 % (1106264)Success in time 0.069 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------