%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV478+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 : n017.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 01:24:23 PM UTC 2026
% Result : Theorem 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 122 ( 43 unt; 8 def)
% Number of atoms : 873 ( 350 equ)
% Maximal formula atoms : 126 ( 7 avg)
% Number of connectives : 1120 ( 369 ~; 295 |; 357 &)
% ( 11 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 19 con; 0-2 aty)
% Number of variables : 344 ( 2 sgn 324 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f19,axiom,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_18) ).
fof(f48,axiom,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( X0 = X1
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(f59,axiom,
! [X0] : ~ leq(s(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(f60,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
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(f63,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_62) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
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] :
( ( 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)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(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] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [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,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(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(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),snoc(queue(host(X11)),m_Ldr(X2)))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ) ),
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] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [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)
& setIn(host(X5),index(down,host(X4)))
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X5] :
( ( setIn(X5,alive)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& setIn(host(X5),index(down,host(X4))) ) )
& ! [X4,X6,X5] :
( ( setIn(X4,alive)
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X4)))
& host(X5) = host(X6)
& index(status,host(X5)) = elec_2 )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( setIn(X5,alive)
& host(X6) = host(X5)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X5) )
=> ~ ( setIn(X4,alive)
& elem(m_Down(X6),queue(host(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] :
( ( ~ leq(host(X6),host(X5))
& setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5)))
& host(X6) = host(X4) )
=> ~ ( setIn(X4,alive)
& index(ldr,host(X4)) = host(X4)
& index(status,host(X4)) = norm ) )
& ! [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,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = norm
& index(ldr,host(X5)) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X6,X5] :
( ( host(X5) != host(X6)
& setIn(X5,alive)
& elem(m_Down(X4),queue(host(X5)))
& host(X6) = host(X4)
& index(status,host(X5)) = wait
& host(index(elid,host(X5))) = host(X6) )
=> ~ ( setIn(X6,alive)
& index(status,host(X6)) = norm
& index(ldr,host(X6)) = host(X6) ) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X4,alive)
& leq(host(X4),host(X5))
& elem(m_Down(X6),queue(host(X5)))
& host(X7) = host(X5)
& index(status,host(X4)) = elec_2
& index(status,host(X5)) = elec_1 )
=> ~ elem(m_Ack(X4,X7),queue(host(X4))) )
& ! [X4,X7,X6,X5] :
( ( ! [X8] :
( ( ~ leq(host(X5),X8)
& leq(s(zero),X8) )
=> ( setIn(X8,index(down,host(X5)))
| X8 = host(X6) ) )
& setIn(X5,alive)
& leq(nbr_proc,s(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& elem(m_Down(X7),queue(host(X5)))
& host(X7) = s(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(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X4] :
( setIn(host(X4),index(acks,host(X2)))
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X4) = host(X11)
=> ( host(X2) != host(X11)
=> ( ( ! [X12] :
( ( ~ leq(host(X11),X12)
& leq(s(zero),X12) )
=> ( setIn(X12,index(down,host(X11)))
| X12 = host(X10) ) )
& setIn(X11,alive)
& leq(nbr_proc,s(host(X11)))
& elem(m_Down(X9),snoc(queue(host(X11)),m_Ldr(X2)))
& elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
& host(X9) = s(host(X11))
& index(status,host(X11)) = elec_1 )
=> ~ ( setIn(X8,alive)
& host(X2) = host(X8) ) ) ) ) ) ) ) ) ) ) ),
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] :
( ( X8 != X9
& host(X8) = host(X9) )
=> ( ~ setIn(X8,alive)
| ~ setIn(X9,alive) ) )
& ! [X10] :
( ( ( elec_1 = index(status,host(X10))
| elec_2 = index(status,host(X10)) )
& setIn(X10,alive) )
=> index(elid,host(X10)) = X10 )
& ! [X11,X12] :
( ( setIn(X11,alive)
& setIn(X12,alive)
& setIn(host(X12),index(down,host(X11)))
& elec_2 = index(status,host(X12)) )
=> leq(index(pendack,host(X12)),host(X11)) )
& ! [X13,X14] :
( ( setIn(X14,alive)
& norm = index(status,host(X14))
& host(X14) = index(ldr,host(X14)) )
=> ~ ( setIn(X13,alive)
& setIn(host(X14),index(down,host(X13))) ) )
& ! [X15,X16,X17] :
( ( setIn(X15,alive)
& setIn(X17,alive)
& elem(m_Down(X16),queue(host(X15)))
& host(X17) = host(X16)
& elec_2 = index(status,host(X17)) )
=> leq(index(pendack,host(X17)),host(X15)) )
& ! [X18,X19,X20] :
( ( setIn(X20,alive)
& host(X20) = host(X19)
& norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20)) )
=> ~ ( setIn(X18,alive)
& elem(m_Down(X19),queue(host(X18))) ) )
& ! [X21,X22] :
( ( setIn(X21,alive)
& setIn(X22,alive)
& host(X21) = index(ldr,host(X21))
& norm = index(status,host(X21))
& norm = index(status,host(X22))
& host(X22) = index(ldr,host(X22)) )
=> X21 = X22 )
& ! [X23,X24,X25] :
( ( ~ leq(host(X24),host(X25))
& setIn(X25,alive)
& elem(m_Down(X24),queue(host(X25)))
& host(X24) = host(X23) )
=> ~ ( setIn(X23,alive)
& host(X23) = index(ldr,host(X23))
& norm = index(status,host(X23)) ) )
& ! [X26,X27,X28,X29] :
( ( host(X26) != host(X28)
& setIn(X26,alive)
& setIn(X28,alive)
& host(X26) = host(X27)
& host(X28) = host(X29) )
=> ~ ( elem(m_Down(X29),queue(host(X26)))
& elem(m_Down(X27),queue(host(X28))) ) )
& ! [X30,X31,X32,X33] :
( ( host(X30) != host(X32)
& setIn(X30,alive)
& setIn(X32,alive)
& host(X30) = host(X31)
& host(X32) = host(X33) )
=> ~ ( elem(m_Down(X33),queue(host(X30)))
& setIn(host(X31),index(down,host(X32))) ) )
& ! [X34,X35,X36] :
( ( host(X36) != host(X35)
& setIn(X36,alive)
& elem(m_Down(X34),queue(host(X36)))
& host(X35) = host(X34)
& norm = index(status,host(X36))
& host(X35) = index(ldr,host(X36)) )
=> ~ ( setIn(X35,alive)
& norm = index(status,host(X35))
& host(X35) = index(ldr,host(X35)) ) )
& ! [X37,X38,X39] :
( ( host(X39) != host(X38)
& setIn(X39,alive)
& elem(m_Down(X37),queue(host(X39)))
& host(X38) = host(X37)
& wait = index(status,host(X39))
& host(X38) = host(index(elid,host(X39))) )
=> ~ ( setIn(X38,alive)
& norm = index(status,host(X38))
& host(X38) = index(ldr,host(X38)) ) )
& ! [X40,X41,X42,X43] :
( ( ! [X44] :
( ( ~ leq(host(X43),X44)
& leq(s(zero),X44) )
=> ( setIn(X44,index(down,host(X43)))
| host(X42) = X44 ) )
& setIn(X40,alive)
& leq(host(X40),host(X43))
& elem(m_Down(X42),queue(host(X43)))
& host(X43) = host(X41)
& elec_2 = index(status,host(X40))
& elec_1 = index(status,host(X43)) )
=> ~ elem(m_Ack(X40,X41),queue(host(X40))) )
& ! [X45,X46,X47,X48] :
( ( ! [X49] :
( ( ~ leq(host(X48),X49)
& leq(s(zero),X49) )
=> ( setIn(X49,index(down,host(X48)))
| host(X47) = X49 ) )
& setIn(X48,alive)
& leq(nbr_proc,s(host(X48)))
& elem(m_Down(X47),queue(host(X48)))
& elem(m_Down(X46),queue(host(X48)))
& s(host(X48)) = host(X46)
& elec_1 = index(status,host(X48)) )
=> ~ ( setIn(X45,alive)
& host(X45) = index(ldr,host(X45))
& norm = index(status,host(X45)) ) )
& queue(host(X2)) = cons(m_Down(X3),X0) )
=> ( setIn(X2,alive)
=> ( leq(host(X2),host(X3))
=> ( ( index(status,host(X2)) = elec_2
& host(X3) = index(pendack,host(X2)) )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X50] :
( setIn(host(X50),index(acks,host(X2)))
=> ! [X51] :
( host(X2) = host(X51)
=> ! [X52,X53,X54] :
( host(X50) = host(X54)
=> ( host(X2) != host(X54)
=> ( ( ! [X55] :
( ( ~ leq(host(X54),X55)
& leq(s(zero),X55) )
=> ( setIn(X55,index(down,host(X54)))
| host(X53) = X55 ) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
& elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54)) )
=> ~ ( setIn(X51,alive)
& host(X2) = host(X51) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f83,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f84,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
& elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54)
& host(X50) = host(X54) )
& host(X2) = host(X51) )
& setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,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] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X2,X3] :
( ? [X50] :
( ? [X51] :
( ? [X52,X53,X54] :
( setIn(X51,alive)
& host(X2) = host(X51)
& ! [X55] :
( setIn(X55,index(down,host(X54)))
| host(X53) = X55
| leq(host(X54),X55)
| ~ leq(s(zero),X55) )
& setIn(X54,alive)
& leq(nbr_proc,s(host(X54)))
& elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
& elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
& s(host(X54)) = host(X52)
& elec_1 = index(status,host(X54))
& host(X2) != host(X54)
& host(X50) = host(X54) )
& host(X2) = host(X51) )
& setIn(host(X50),index(acks,host(X2))) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(status,host(X2)) = elec_2
& host(X3) = index(pendack,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] :
( ~ setIn(X8,alive)
| ~ setIn(X9,alive)
| X8 = X9
| host(X8) != host(X9) )
& ! [X10] :
( index(elid,host(X10)) = X10
| ( elec_1 != index(status,host(X10))
& elec_2 != index(status,host(X10)) )
| ~ setIn(X10,alive) )
& ! [X11,X12] :
( leq(index(pendack,host(X12)),host(X11))
| ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| elec_2 != index(status,host(X12)) )
& ! [X13,X14] :
( ~ setIn(X13,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X14,alive)
| norm != index(status,host(X14))
| host(X14) != index(ldr,host(X14)) )
& ! [X15,X16,X17] :
( leq(index(pendack,host(X17)),host(X15))
| ~ setIn(X15,alive)
| ~ setIn(X17,alive)
| ~ elem(m_Down(X16),queue(host(X15)))
| host(X17) != host(X16)
| elec_2 != index(status,host(X17)) )
& ! [X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X19),queue(host(X18)))
| ~ setIn(X20,alive)
| host(X20) != host(X19)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20)) )
& ! [X21,X22] :
( X21 = X22
| ~ setIn(X21,alive)
| ~ setIn(X22,alive)
| host(X21) != index(ldr,host(X21))
| norm != index(status,host(X21))
| norm != index(status,host(X22))
| host(X22) != index(ldr,host(X22)) )
& ! [X23,X24,X25] :
( ~ setIn(X23,alive)
| host(X23) != index(ldr,host(X23))
| norm != index(status,host(X23))
| leq(host(X24),host(X25))
| ~ setIn(X25,alive)
| ~ elem(m_Down(X24),queue(host(X25)))
| host(X24) != host(X23) )
& ! [X26,X27,X28,X29] :
( ~ elem(m_Down(X29),queue(host(X26)))
| ~ elem(m_Down(X27),queue(host(X28)))
| host(X26) = host(X28)
| ~ setIn(X26,alive)
| ~ setIn(X28,alive)
| host(X26) != host(X27)
| host(X28) != host(X29) )
& ! [X30,X31,X32,X33] :
( ~ elem(m_Down(X33),queue(host(X30)))
| ~ setIn(host(X31),index(down,host(X32)))
| host(X30) = host(X32)
| ~ setIn(X30,alive)
| ~ setIn(X32,alive)
| host(X30) != host(X31)
| host(X32) != host(X33) )
& ! [X34,X35,X36] :
( ~ setIn(X35,alive)
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| host(X36) = host(X35)
| ~ setIn(X36,alive)
| ~ elem(m_Down(X34),queue(host(X36)))
| host(X35) != host(X34)
| norm != index(status,host(X36))
| host(X35) != index(ldr,host(X36)) )
& ! [X37,X38,X39] :
( ~ setIn(X38,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| host(X39) = host(X38)
| ~ setIn(X39,alive)
| ~ elem(m_Down(X37),queue(host(X39)))
| host(X38) != host(X37)
| wait != index(status,host(X39))
| host(X38) != host(index(elid,host(X39))) )
& ! [X40,X41,X42,X43] :
( ~ elem(m_Ack(X40,X41),queue(host(X40)))
| ? [X44] :
( ~ setIn(X44,index(down,host(X43)))
& host(X42) != X44
& ~ leq(host(X43),X44)
& leq(s(zero),X44) )
| ~ setIn(X40,alive)
| ~ leq(host(X40),host(X43))
| ~ elem(m_Down(X42),queue(host(X43)))
| host(X43) != host(X41)
| elec_2 != index(status,host(X40))
| elec_1 != index(status,host(X43)) )
& ! [X45,X46,X47,X48] :
( ~ setIn(X45,alive)
| host(X45) != index(ldr,host(X45))
| norm != index(status,host(X45))
| ? [X49] :
( ~ setIn(X49,index(down,host(X48)))
& host(X47) != X49
& ~ leq(host(X48),X49)
& leq(s(zero),X49) )
| ~ setIn(X48,alive)
| ~ leq(nbr_proc,s(host(X48)))
| ~ elem(m_Down(X47),queue(host(X48)))
| ~ elem(m_Down(X46),queue(host(X48)))
| s(host(X48)) != host(X46)
| elec_1 != index(status,host(X48)) )
& queue(host(X2)) = cons(m_Down(X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f90,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f19]) ).
fof(f142,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f170,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f59]) ).
fof(f171,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f60]) ).
fof(f173,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f179,plain,
! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f183,plain,
! [X55] :
( ~ leq(s(zero),X55)
| leq(host(sK12),X55)
| host(sK11) = X55
| setIn(X55,index(down,host(sK12))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
host(sK12) != host(sK4),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
s(host(sK12)) = host(sK10),
inference(cnf_transformation,[],[f86]) ).
fof(f188,plain,
elem(m_Down(sK11),snoc(queue(host(sK12)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f86]) ).
fof(f189,plain,
elem(m_Down(sK10),snoc(queue(host(sK12)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
leq(nbr_proc,s(host(sK12))),
inference(cnf_transformation,[],[f86]) ).
fof(f191,plain,
setIn(sK12,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f192,plain,
host(sK4) = host(sK9),
inference(cnf_transformation,[],[f86]) ).
fof(f193,plain,
setIn(sK9,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f209,plain,
! [X11,X12] :
( ~ setIn(X11,alive)
| ~ setIn(host(X12),index(down,host(X11)))
| ~ setIn(X12,alive)
| elec_2 != index(status,host(X12))
| leq(index(pendack,host(X12)),host(X11)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f211,plain,
! [X16,X17,X15] :
( elec_2 != index(status,host(X17))
| host(X17) != host(X16)
| ~ elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X17,alive)
| ~ setIn(X15,alive)
| leq(index(pendack,host(X17)),host(X15)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f221,plain,
leq(host(sK4),host(sK5)),
inference(cnf_transformation,[],[f86]) ).
fof(f222,plain,
host(sK5) = index(pendack,host(sK4)),
inference(cnf_transformation,[],[f86]) ).
fof(f223,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f86]) ).
fof(f224,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f86]) ).
fof(f246,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 = X1
| ~ elem(X0,X2) ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f258,plain,
! [X16,X17,X15] :
( ~ setIn(X15,alive)
| host(X17) != host(X16)
| elem(m_Down(X16),queue(host(X15)))
| ~ setIn(X17,alive)
| elec_2 != index(status,host(X17))
| leq(index(pendack,host(X17)),host(X15)) ),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f269,plain,
~ elem(m_Down(sK10),snoc(queue(host(sK12)),m_Ldr(sK4))),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f270,plain,
~ elem(m_Down(sK11),snoc(queue(host(sK12)),m_Ldr(sK4))),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f290,plain,
leq(nbr_proc,host(sK10)),
inference(superposition,[],[f190,f187]) ).
fof(f292,plain,
leq(nbr_proc,host(sK5)),
inference(superposition,[],[f224,f222]) ).
fof(f365,plain,
! [X0] :
( ~ setIn(host(X0),index(down,host(sK12)))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK12)) ),
inference(resolution,[],[f209,f191]) ).
fof(f394,plain,
! [X0,X1] :
( ~ setIn(X0,alive)
| elem(m_Down(X1),queue(host(sK12)))
| host(X0) != host(X1)
| elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK12)) ),
inference(resolution,[],[f258,f191]) ).
fof(f436,plain,
( ~ setIn(host(sK4),index(down,host(sK12)))
| ~ setIn(sK9,alive)
| elec_2 != index(status,host(sK4))
| leq(index(pendack,host(sK4)),host(sK12)) ),
inference(superposition,[],[f365,f192]) ).
fof(f437,plain,
( ~ setIn(host(sK4),index(down,host(sK12)))
| elec_2 != index(status,host(sK4))
| leq(index(pendack,host(sK4)),host(sK12)) ),
inference(forward_subsumption_resolution,[],[f436,f193]) ).
fof(f438,plain,
( ~ setIn(host(sK4),index(down,host(sK12)))
| leq(index(pendack,host(sK4)),host(sK12)) ),
inference(forward_subsumption_resolution,[],[f437,f223]) ).
fof(f439,plain,
( leq(host(sK5),host(sK12))
| ~ setIn(host(sK4),index(down,host(sK12))) ),
inference(forward_demodulation,[],[f438,f222]) ).
fof(f441,definition,
( spl13_20
<=> setIn(host(sK4),index(down,host(sK12))) ),
introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).
fof(f443,plain,
( ~ setIn(host(sK4),index(down,host(sK12)))
| spl13_20 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f445,definition,
( spl13_21
<=> leq(host(sK5),host(sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_21])],[avatar_definition]) ).
fof(f447,plain,
( leq(host(sK5),host(sK12))
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f448,plain,
( ~ spl13_20
| spl13_21 ),
inference(avatar_split_clause,[],[f439,f445,f441]) ).
fof(f491,plain,
! [X0] :
( elem(m_Down(X0),queue(host(sK12)))
| host(X0) != host(sK9)
| elec_2 != index(status,host(sK9))
| leq(index(pendack,host(sK9)),host(sK12)) ),
inference(resolution,[],[f394,f193]) ).
fof(f494,plain,
! [X0] :
( host(X0) != host(sK4)
| elem(m_Down(X0),queue(host(sK12)))
| elec_2 != index(status,host(sK9))
| leq(index(pendack,host(sK9)),host(sK12)) ),
inference(forward_demodulation,[],[f491,f192]) ).
fof(f496,plain,
! [X0] :
( elec_2 != index(status,host(sK4))
| host(X0) != host(sK4)
| elem(m_Down(X0),queue(host(sK12)))
| leq(index(pendack,host(sK9)),host(sK12)) ),
inference(forward_demodulation,[],[f494,f192]) ).
fof(f498,definition,
( spl13_26
<=> ! [X0] :
( elem(m_Down(X0),queue(host(sK12)))
| host(X0) != host(sK4) ) ),
introduced(definition,[new_symbols(definition,[spl13_26])],[avatar_definition]) ).
fof(f499,plain,
( ! [X0] :
( elem(m_Down(X0),queue(host(sK12)))
| host(X0) != host(sK4) )
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f501,plain,
! [X0] :
( host(X0) != host(sK4)
| elem(m_Down(X0),queue(host(sK12)))
| leq(index(pendack,host(sK9)),host(sK12)) ),
inference(forward_subsumption_resolution,[],[f496,f223]) ).
fof(f502,plain,
! [X0] :
( leq(index(pendack,host(sK4)),host(sK12))
| host(X0) != host(sK4)
| elem(m_Down(X0),queue(host(sK12))) ),
inference(forward_demodulation,[],[f501,f192]) ).
fof(f503,plain,
! [X0] :
( leq(host(sK5),host(sK12))
| host(X0) != host(sK4)
| elem(m_Down(X0),queue(host(sK12))) ),
inference(forward_demodulation,[],[f502,f222]) ).
fof(f504,plain,
( spl13_26
| spl13_21 ),
inference(avatar_split_clause,[],[f503,f445,f498]) ).
fof(f553,plain,
~ leq(host(sK10),host(sK12)),
inference(superposition,[],[f170,f187]) ).
fof(f593,definition,
( spl13_34
<=> leq(host(sK4),host(sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_34])],[avatar_definition]) ).
fof(f594,plain,
( leq(host(sK4),host(sK12))
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f619,plain,
! [X0] :
( setIn(host(X0),index(down,host(sK12)))
| host(X0) = host(sK11)
| leq(host(sK12),host(X0)) ),
inference(resolution,[],[f90,f183]) ).
fof(f627,plain,
( host(sK11) = host(sK4)
| leq(host(sK12),host(sK4))
| spl13_20 ),
inference(resolution,[],[f619,f443]) ).
fof(f631,definition,
( spl13_38
<=> leq(host(sK12),host(sK4)) ),
introduced(definition,[new_symbols(definition,[spl13_38])],[avatar_definition]) ).
fof(f635,definition,
( spl13_39
<=> host(sK11) = host(sK4) ),
introduced(definition,[new_symbols(definition,[spl13_39])],[avatar_definition]) ).
fof(f734,plain,
( ~ leq(host(sK10),nbr_proc)
| nbr_proc = host(sK10) ),
inference(resolution,[],[f173,f290]) ).
fof(f735,plain,
( ~ leq(host(sK5),nbr_proc)
| nbr_proc = host(sK5) ),
inference(resolution,[],[f173,f292]) ).
fof(f736,plain,
nbr_proc = host(sK5),
inference(forward_subsumption_resolution,[],[f735,f92]) ).
fof(f737,plain,
nbr_proc = host(sK10),
inference(forward_subsumption_resolution,[],[f734,f92]) ).
fof(f765,plain,
( leq(nbr_proc,host(sK12))
| ~ spl13_21 ),
inference(superposition,[],[f447,f736]) ).
fof(f795,definition,
( spl13_48
<=> leq(nbr_proc,host(sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_48])],[avatar_definition]) ).
fof(f814,definition,
( spl13_53
<=> nbr_proc = host(sK4) ),
introduced(definition,[new_symbols(definition,[spl13_53])],[avatar_definition]) ).
fof(f895,plain,
( spl13_48
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f765,f445,f795]) ).
fof(f912,plain,
( spl13_38
| spl13_39
| spl13_20 ),
inference(avatar_split_clause,[],[f627,f441,f635,f631]) ).
fof(f920,plain,
! [X0] :
( ~ leq(host(sK5),X0)
| leq(host(sK4),X0) ),
inference(resolution,[],[f176,f221]) ).
fof(f934,plain,
! [X0] :
( leq(host(sK4),X0)
| ~ leq(nbr_proc,X0) ),
inference(forward_demodulation,[],[f920,f736]) ).
fof(f963,plain,
~ leq(nbr_proc,host(sK12)),
inference(superposition,[],[f553,f737]) ).
fof(f1043,plain,
~ spl13_48,
inference(avatar_split_clause,[],[f963,f795]) ).
fof(f1119,plain,
! [X0] :
( ~ leq(X0,host(sK10))
| host(sK10) = X0
| leq(X0,host(sK12)) ),
inference(superposition,[],[f179,f187]) ).
fof(f1120,plain,
! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK10) = X0
| leq(X0,host(sK12)) ),
inference(forward_demodulation,[],[f1119,f737]) ).
fof(f1122,plain,
! [X0] :
( ~ leq(X0,nbr_proc)
| nbr_proc = X0
| leq(X0,host(sK12)) ),
inference(forward_demodulation,[],[f1120,f737]) ).
fof(f1130,plain,
( m_Ldr(sK4) = m_Down(sK10)
| ~ elem(m_Down(sK10),queue(host(sK12))) ),
inference(resolution,[],[f246,f269]) ).
fof(f1131,plain,
( m_Down(sK11) = m_Ldr(sK4)
| ~ elem(m_Down(sK11),queue(host(sK12))) ),
inference(resolution,[],[f246,f270]) ).
fof(f1135,plain,
~ elem(m_Down(sK11),queue(host(sK12))),
inference(forward_subsumption_resolution,[],[f1131,f106]) ).
fof(f1136,plain,
~ elem(m_Down(sK10),queue(host(sK12))),
inference(forward_subsumption_resolution,[],[f1130,f106]) ).
fof(f1208,plain,
( host(sK11) != host(sK4)
| ~ spl13_26 ),
inference(resolution,[],[f1135,f499]) ).
fof(f1209,plain,
( ~ spl13_39
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f1208,f498,f635]) ).
fof(f1210,plain,
( host(sK4) != host(sK10)
| ~ spl13_26 ),
inference(resolution,[],[f1136,f499]) ).
fof(f1211,plain,
( nbr_proc != host(sK4)
| ~ spl13_26 ),
inference(forward_demodulation,[],[f1210,f737]) ).
fof(f1278,plain,
( nbr_proc = host(sK4)
| leq(host(sK4),host(sK12))
| ~ leq(nbr_proc,nbr_proc) ),
inference(resolution,[],[f1122,f934]) ).
fof(f1297,plain,
( ~ leq(host(sK12),host(sK4))
| host(sK12) = host(sK4)
| ~ spl13_34 ),
inference(resolution,[],[f594,f173]) ).
fof(f1298,plain,
( ~ leq(host(sK12),host(sK4))
| ~ spl13_34 ),
inference(forward_subsumption_resolution,[],[f1297,f185]) ).
fof(f1299,plain,
( ~ spl13_38
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f1298,f593,f631]) ).
fof(f1300,plain,
( ~ spl13_53
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f1211,f498,f814]) ).
fof(f1301,plain,
( nbr_proc = host(sK4)
| leq(host(sK4),host(sK12)) ),
inference(forward_subsumption_resolution,[],[f1278,f171]) ).
fof(f1302,plain,
( spl13_34
| spl13_53 ),
inference(avatar_split_clause,[],[f1301,f814,f593]) ).
cnf(s19,plain,
( ~ spl13_20
| spl13_21 ),
inference(sat_conversion,[],[f448]) ).
cnf(s23,plain,
( spl13_21
| spl13_26 ),
inference(sat_conversion,[],[f504]) ).
cnf(s52,plain,
( ~ spl13_21
| spl13_48 ),
inference(sat_conversion,[],[f895]) ).
cnf(s56,plain,
( spl13_20
| spl13_38
| spl13_39 ),
inference(sat_conversion,[],[f912]) ).
cnf(s73,plain,
~ spl13_48,
inference(sat_conversion,[],[f1043]) ).
cnf(s82,plain,
( ~ spl13_26
| ~ spl13_39 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s92,plain,
( ~ spl13_34
| ~ spl13_38 ),
inference(sat_conversion,[],[f1299]) ).
cnf(s93,plain,
( ~ spl13_26
| ~ spl13_53 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s94,plain,
( spl13_34
| spl13_53 ),
inference(sat_conversion,[],[f1302]) ).
cnf(s97,plain,
~ spl13_21,
inference(rat,[],[s52,s73]) ).
cnf(s100,plain,
spl13_26,
inference(rat,[],[s23,s97]) ).
cnf(s101,plain,
~ spl13_53,
inference(rat,[],[s93,s100]) ).
cnf(s102,plain,
~ spl13_39,
inference(rat,[],[s82,s100]) ).
cnf(s103,plain,
spl13_34,
inference(rat,[],[s94,s101]) ).
cnf(s104,plain,
~ spl13_38,
inference(rat,[],[s92,s103]) ).
cnf(s105,plain,
spl13_20,
inference(rat,[],[s56,s102,s104]) ).
cnf(s106,plain,
$false,
inference(rat,[],[s19,s97,s105]) ).
fof(f1303,plain,
$false,
inference(avatar_sat_refutation,[],[s106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV478+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 % Computer : n017.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Mon Sep 28 11:06:27 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 Running first-order model finding
% 0.11/0.24 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
% 0.21/0.30 % (3481972)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (3481978)% WARNING: option uhcvi not known.
% 0.21/0.30 % (3481978)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1987052642:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (3481977)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2626019195_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % (3481980)dis+10_1_sil=32000:sp=arity:random_seed=1119244071:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (3481982)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4280406309:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % (3481979)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3418958575:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (3481983)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=780914666:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % (3481981)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4092046539:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (3481978) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3481972-3481978"...
% 0.21/0.30 % (3481978)...printing done.
% 0.21/0.30 % (3481978)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
% 0.21/0.30 % (3481978)------------------------------
% 0.21/0.30 % (3481978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (3481978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (3481978)CaDiCaL version: 2.1.3
% 0.21/0.30 % (3481978)Termination reason: Refutation
% 0.21/0.30 % (3481978)Time elapsed: 0.021 s
% 0.21/0.30 % (3481978)Peak memory usage: 13 MB
% 0.21/0.30 % (3481978)Instructions burned: 57 (million)
% 0.21/0.30 % (3481972)Success in time 0.049 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------