%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV475+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 : n007.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 0.20s 0.33s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 142 ( 40 unt; 8 def)
% Number of atoms : 929 ( 375 equ)
% Maximal formula atoms : 127 ( 6 avg)
% Number of connectives : 1167 ( 380 ~; 331 |; 359 &)
% ( 12 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 18 con; 0-2 aty)
% Number of variables : 350 ( 0 sgn 328 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( s(host(X0)) = host(X1)
=> host(X0) != host(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_01) ).
fof(f3,axiom,
! [X0] : leq(s(zero),host(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f19,axiom,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(f60,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& leq(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f64,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
fof(f65,axiom,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( X0 = s(X1)
| leq(X0,X1) ) ),
file('/export/starexec/sandbox2/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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& 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)))
| host(X4) = host(X3) )
=> ! [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/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] :
( ( 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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& 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)))
| host(X4) = host(X3) )
=> ! [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,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] :
( ( 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_Ack(X1,X3),X0) )
=> ( setIn(X2,alive)
=> ( ( index(elid,host(X2)) = X1
& 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)))
| host(X3) = host(X50) )
=> ! [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(f71,plain,
! [X0,X1] :
( host(X0) != host(X1)
| s(host(X0)) != host(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f85,plain,
? [X0,X1,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)))
| host(X3) = host(X50) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& 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] :
( ~ 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_Ack(X1,X3),X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f86,plain,
? [X0,X1,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)))
| host(X3) = host(X50) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& index(elid,host(X2)) = X1
& index(status,host(X2)) = elec_2
& 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] :
( ~ 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_Ack(X1,X3),X0) ),
inference(flattening,[],[f85]) ).
fof(f89,plain,
! [X0,X1] :
( s(host(X0)) != host(X1)
| host(X0) != host(X1) ),
inference(cnf_transformation,[],[f71]) ).
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(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(f177,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f178,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
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(sK13),X55)
| host(sK12) = X55
| setIn(X55,index(down,host(sK13))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
host(sK13) != host(sK5),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
s(host(sK13)) = host(sK11),
inference(cnf_transformation,[],[f86]) ).
fof(f188,plain,
elem(m_Down(sK12),snoc(queue(host(sK13)),m_Ldr(sK5))),
inference(cnf_transformation,[],[f86]) ).
fof(f189,plain,
elem(m_Down(sK11),snoc(queue(host(sK13)),m_Ldr(sK5))),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
leq(nbr_proc,s(host(sK13))),
inference(cnf_transformation,[],[f86]) ).
fof(f191,plain,
setIn(sK13,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f209,plain,
! [X11,X12] :
( elec_2 != index(status,host(X12))
| ~ setIn(host(X12),index(down,host(X11)))
| ~ setIn(X12,alive)
| ~ setIn(X11,alive)
| 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(f220,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f86]) ).
fof(f221,plain,
host(sK6) = index(pendack,host(sK5)),
inference(cnf_transformation,[],[f86]) ).
fof(f222,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f86]) ).
fof(f224,plain,
leq(nbr_proc,index(pendack,host(sK5))),
inference(cnf_transformation,[],[f86]) ).
fof(f247,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 = X1
| ~ elem(X0,X2) ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f261,plain,
~ setIn(sK5,alive),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f269,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(consistent_polarity_flipping,[],[f211]) ).
fof(f271,plain,
! [X11,X12] :
( elec_2 != index(status,host(X12))
| setIn(host(X12),index(down,host(X11)))
| setIn(X12,alive)
| setIn(X11,alive)
| leq(index(pendack,host(X12)),host(X11)) ),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f287,plain,
~ setIn(sK13,alive),
inference(consistent_polarity_flipping,[],[f191]) ).
fof(f288,plain,
~ elem(m_Down(sK11),snoc(queue(host(sK13)),m_Ldr(sK5))),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f289,plain,
~ elem(m_Down(sK12),snoc(queue(host(sK13)),m_Ldr(sK5))),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f290,plain,
! [X55] :
( ~ leq(s(zero),X55)
| leq(host(sK13),X55)
| host(sK12) = X55
| ~ setIn(X55,index(down,host(sK13))) ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f319,plain,
leq(nbr_proc,host(sK11)),
inference(superposition,[],[f190,f187]) ).
fof(f320,plain,
leq(nbr_proc,host(sK6)),
inference(superposition,[],[f224,f221]) ).
fof(f406,plain,
! [X0] :
( elec_2 != elec_2
| setIn(host(sK5),index(down,host(X0)))
| setIn(sK5,alive)
| setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(superposition,[],[f271,f222]) ).
fof(f407,plain,
! [X0] :
( setIn(host(sK5),index(down,host(X0)))
| setIn(sK5,alive)
| setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(trivial_inequality_removal,[],[f406]) ).
fof(f408,plain,
! [X0] :
( setIn(host(sK5),index(down,host(X0)))
| setIn(X0,alive)
| leq(index(pendack,host(sK5)),host(X0)) ),
inference(forward_subsumption_resolution,[],[f407,f261]) ).
fof(f410,plain,
! [X0] :
( setIn(host(sK5),index(down,host(X0)))
| leq(host(sK6),host(X0))
| setIn(X0,alive) ),
inference(forward_demodulation,[],[f408,f221]) ).
fof(f424,plain,
! [X0,X1] :
( elec_2 != elec_2
| host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(X1)))
| setIn(sK5,alive)
| setIn(X1,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(superposition,[],[f269,f222]) ).
fof(f425,plain,
! [X0,X1] :
( host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(X1)))
| setIn(sK5,alive)
| setIn(X1,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(trivial_inequality_removal,[],[f424]) ).
fof(f426,plain,
! [X0,X1] :
( host(X0) != host(sK5)
| elem(m_Down(X0),queue(host(X1)))
| setIn(X1,alive)
| leq(index(pendack,host(sK5)),host(X1)) ),
inference(forward_subsumption_resolution,[],[f425,f261]) ).
fof(f428,plain,
! [X0,X1] :
( elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK5)
| leq(host(sK6),host(X1))
| setIn(X1,alive) ),
inference(forward_demodulation,[],[f426,f221]) ).
fof(f565,plain,
! [X0] :
( ~ setIn(host(X0),index(down,host(sK13)))
| host(X0) = host(sK12)
| leq(host(sK13),host(X0)) ),
inference(resolution,[],[f90,f290]) ).
fof(f578,definition,
( spl14_29
<=> leq(host(sK6),host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl14_29])],[avatar_definition]) ).
fof(f579,plain,
( ~ leq(host(sK6),host(sK5))
| spl14_29 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f580,plain,
( leq(host(sK6),host(sK5))
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f588,plain,
( host(sK12) = host(sK5)
| leq(host(sK13),host(sK5))
| leq(host(sK6),host(sK13))
| setIn(sK13,alive) ),
inference(resolution,[],[f565,f410]) ).
fof(f591,plain,
( host(sK12) = host(sK5)
| leq(host(sK13),host(sK5))
| leq(host(sK6),host(sK13)) ),
inference(forward_subsumption_resolution,[],[f588,f287]) ).
fof(f593,definition,
( spl14_31
<=> leq(host(sK6),host(sK13)) ),
introduced(definition,[new_symbols(definition,[spl14_31])],[avatar_definition]) ).
fof(f594,plain,
( ~ leq(host(sK6),host(sK13))
| spl14_31 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f595,plain,
( leq(host(sK6),host(sK13))
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f597,definition,
( spl14_32
<=> leq(host(sK13),host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl14_32])],[avatar_definition]) ).
fof(f599,plain,
( leq(host(sK13),host(sK5))
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f601,definition,
( spl14_33
<=> host(sK12) = host(sK5) ),
introduced(definition,[new_symbols(definition,[spl14_33])],[avatar_definition]) ).
fof(f604,plain,
( spl14_31
| spl14_32
| spl14_33 ),
inference(avatar_split_clause,[],[f591,f601,f597,f593]) ).
fof(f675,plain,
! [X0] :
( ~ leq(s(X0),host(sK11))
| leq(X0,host(sK13)) ),
inference(superposition,[],[f177,f187]) ).
fof(f679,plain,
! [X0] :
( leq(host(sK11),s(X0))
| ~ leq(host(sK13),X0) ),
inference(superposition,[],[f178,f187]) ).
fof(f702,plain,
( ~ leq(host(sK11),nbr_proc)
| nbr_proc = host(sK11) ),
inference(resolution,[],[f173,f319]) ).
fof(f703,plain,
( ~ leq(host(sK6),nbr_proc)
| nbr_proc = host(sK6) ),
inference(resolution,[],[f173,f320]) ).
fof(f706,plain,
nbr_proc = host(sK6),
inference(forward_subsumption_resolution,[],[f703,f92]) ).
fof(f707,plain,
nbr_proc = host(sK11),
inference(forward_subsumption_resolution,[],[f702,f92]) ).
fof(f738,plain,
( leq(nbr_proc,host(sK13))
| ~ spl14_31 ),
inference(superposition,[],[f595,f706]) ).
fof(f739,plain,
( leq(nbr_proc,host(sK5))
| ~ spl14_29 ),
inference(superposition,[],[f580,f706]) ).
fof(f788,definition,
( spl14_45
<=> nbr_proc = host(sK5) ),
introduced(definition,[new_symbols(definition,[spl14_45])],[avatar_definition]) ).
fof(f797,definition,
( spl14_47
<=> nbr_proc = host(sK13) ),
introduced(definition,[new_symbols(definition,[spl14_47])],[avatar_definition]) ).
fof(f1014,plain,
( ~ leq(host(sK13),nbr_proc)
| nbr_proc = host(sK13)
| ~ spl14_31 ),
inference(resolution,[],[f738,f173]) ).
fof(f1015,plain,
( nbr_proc = host(sK13)
| ~ spl14_31 ),
inference(forward_subsumption_resolution,[],[f1014,f92]) ).
fof(f1016,plain,
( spl14_47
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f1015,f593,f797]) ).
fof(f1017,plain,
( ~ leq(nbr_proc,host(sK13))
| spl14_31 ),
inference(forward_demodulation,[],[f594,f706]) ).
fof(f1027,plain,
( ~ leq(host(sK5),nbr_proc)
| nbr_proc = host(sK5)
| ~ spl14_29 ),
inference(resolution,[],[f739,f173]) ).
fof(f1028,plain,
( nbr_proc = host(sK5)
| ~ spl14_29 ),
inference(forward_subsumption_resolution,[],[f1027,f92]) ).
fof(f1029,plain,
( spl14_45
| ~ spl14_29 ),
inference(avatar_split_clause,[],[f1028,f578,f788]) ).
fof(f1030,plain,
( ~ leq(nbr_proc,host(sK5))
| spl14_29 ),
inference(forward_demodulation,[],[f579,f706]) ).
fof(f1035,plain,
! [X0] :
( host(X0) != host(sK11)
| host(X0) != host(sK13) ),
inference(superposition,[],[f89,f187]) ).
fof(f1036,plain,
! [X0] :
( host(X0) != nbr_proc
| host(X0) != host(sK13) ),
inference(forward_demodulation,[],[f1035,f707]) ).
fof(f1086,plain,
( m_Ldr(sK5) = m_Down(sK11)
| ~ elem(m_Down(sK11),queue(host(sK13))) ),
inference(resolution,[],[f247,f288]) ).
fof(f1087,plain,
( m_Down(sK12) = m_Ldr(sK5)
| ~ elem(m_Down(sK12),queue(host(sK13))) ),
inference(resolution,[],[f247,f289]) ).
fof(f1091,plain,
~ elem(m_Down(sK12),queue(host(sK13))),
inference(forward_subsumption_resolution,[],[f1087,f106]) ).
fof(f1092,plain,
~ elem(m_Down(sK11),queue(host(sK13))),
inference(forward_subsumption_resolution,[],[f1086,f106]) ).
fof(f1156,plain,
( host(sK12) != host(sK5)
| leq(host(sK6),host(sK13))
| setIn(sK13,alive) ),
inference(resolution,[],[f1091,f428]) ).
fof(f1157,plain,
( host(sK12) != host(sK5)
| leq(host(sK6),host(sK13)) ),
inference(forward_subsumption_resolution,[],[f1156,f287]) ).
fof(f1160,plain,
( leq(nbr_proc,host(sK13))
| host(sK12) != host(sK5) ),
inference(forward_demodulation,[],[f1157,f706]) ).
fof(f1171,plain,
( host(sK12) != host(sK5)
| spl14_31 ),
inference(forward_subsumption_resolution,[],[f1160,f1017]) ).
fof(f1172,plain,
( ~ spl14_33
| spl14_31 ),
inference(avatar_split_clause,[],[f1171,f593,f601]) ).
fof(f1175,plain,
( host(sK5) != host(sK11)
| leq(host(sK6),host(sK13))
| setIn(sK13,alive) ),
inference(resolution,[],[f1092,f428]) ).
fof(f1176,plain,
( host(sK5) != host(sK11)
| leq(host(sK6),host(sK13)) ),
inference(forward_subsumption_resolution,[],[f1175,f287]) ).
fof(f1177,plain,
( nbr_proc != host(sK5)
| leq(host(sK6),host(sK13)) ),
inference(forward_demodulation,[],[f1176,f707]) ).
fof(f1178,plain,
( leq(nbr_proc,host(sK13))
| nbr_proc != host(sK5) ),
inference(forward_demodulation,[],[f1177,f706]) ).
fof(f1179,plain,
( nbr_proc != host(sK5)
| spl14_31 ),
inference(forward_subsumption_resolution,[],[f1178,f1017]) ).
fof(f1180,plain,
( ~ spl14_45
| spl14_31 ),
inference(avatar_split_clause,[],[f1179,f593,f788]) ).
fof(f1217,plain,
! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK13)) ),
inference(forward_demodulation,[],[f675,f707]) ).
fof(f1223,plain,
! [X0] :
( ~ leq(host(sK13),X0)
| leq(nbr_proc,s(X0)) ),
inference(forward_demodulation,[],[f679,f707]) ).
fof(f1226,plain,
( leq(nbr_proc,s(host(sK5)))
| ~ spl14_32 ),
inference(resolution,[],[f1223,f599]) ).
fof(f1251,plain,
( nbr_proc != nbr_proc
| nbr_proc != host(sK13) ),
inference(superposition,[],[f1036,f707]) ).
fof(f1252,plain,
nbr_proc != host(sK13),
inference(trivial_inequality_removal,[],[f1251]) ).
fof(f1337,plain,
( nbr_proc = s(host(sK5))
| leq(nbr_proc,host(sK5))
| ~ spl14_32 ),
inference(resolution,[],[f1226,f179]) ).
fof(f1341,definition,
( spl14_87
<=> nbr_proc = s(host(sK5)) ),
introduced(definition,[new_symbols(definition,[spl14_87])],[avatar_definition]) ).
fof(f1343,plain,
( nbr_proc = s(host(sK5))
| ~ spl14_87 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1349,plain,
( nbr_proc = s(host(sK5))
| spl14_29
| ~ spl14_32 ),
inference(forward_subsumption_resolution,[],[f1337,f1030]) ).
fof(f1350,plain,
( spl14_87
| spl14_29
| ~ spl14_32 ),
inference(avatar_split_clause,[],[f1349,f597,f578,f1341]) ).
fof(f1354,plain,
~ spl14_47,
inference(avatar_split_clause,[],[f1252,f797]) ).
fof(f1400,definition,
( spl14_93
<=> leq(host(sK5),host(sK13)) ),
introduced(definition,[new_symbols(definition,[spl14_93])],[avatar_definition]) ).
fof(f1402,plain,
( ~ leq(host(sK5),host(sK13))
| spl14_93 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1552,plain,
( ~ leq(host(sK5),host(sK13))
| host(sK13) = host(sK5)
| ~ spl14_32 ),
inference(resolution,[],[f599,f173]) ).
fof(f1553,plain,
( ~ leq(host(sK5),host(sK13))
| ~ spl14_32 ),
inference(forward_subsumption_resolution,[],[f1552,f185]) ).
fof(f1554,plain,
( ~ spl14_93
| ~ spl14_32 ),
inference(avatar_split_clause,[],[f1553,f597,f1400]) ).
fof(f2023,plain,
( ~ leq(nbr_proc,nbr_proc)
| leq(host(sK5),host(sK13))
| ~ spl14_87 ),
inference(superposition,[],[f1217,f1343]) ).
fof(f2024,plain,
( leq(host(sK5),host(sK13))
| ~ spl14_87 ),
inference(forward_subsumption_resolution,[],[f2023,f171]) ).
fof(f2025,plain,
( $false
| ~ spl14_87
| spl14_93 ),
inference(forward_subsumption_resolution,[],[f2024,f1402]) ).
fof(f2026,plain,
( ~ spl14_87
| spl14_93 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
cnf(s25,plain,
( spl14_31
| spl14_32
| spl14_33 ),
inference(sat_conversion,[],[f604]) ).
cnf(s71,plain,
( ~ spl14_31
| spl14_47 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s72,plain,
( ~ spl14_29
| spl14_45 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s77,plain,
( spl14_31
| ~ spl14_33 ),
inference(sat_conversion,[],[f1172]) ).
cnf(s78,plain,
( spl14_31
| ~ spl14_45 ),
inference(sat_conversion,[],[f1180]) ).
cnf(s89,plain,
( spl14_29
| ~ spl14_32
| spl14_87 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s91,plain,
~ spl14_47,
inference(sat_conversion,[],[f1354]) ).
cnf(s111,plain,
( ~ spl14_32
| ~ spl14_93 ),
inference(sat_conversion,[],[f1554]) ).
cnf(s120,plain,
( ~ spl14_87
| spl14_93 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s123,plain,
~ spl14_31,
inference(rat,[],[s71,s91]) ).
cnf(s124,plain,
~ spl14_45,
inference(rat,[],[s78,s123]) ).
cnf(s125,plain,
~ spl14_33,
inference(rat,[],[s77,s123]) ).
cnf(s126,plain,
~ spl14_29,
inference(rat,[],[s72,s124]) ).
cnf(s129,plain,
spl14_32,
inference(rat,[],[s25,s125,s123]) ).
cnf(s130,plain,
~ spl14_93,
inference(rat,[],[s111,s129]) ).
cnf(s131,plain,
spl14_87,
inference(rat,[],[s89,s126,s129]) ).
cnf(s132,plain,
$false,
inference(rat,[],[s120,s130,s131]) ).
fof(f2027,plain,
$false,
inference(avatar_sat_refutation,[],[s132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV475+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 11:09:10 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.33 % (2326609)Will run a generic schedule for satisfiability detection.
% 0.20/0.33 % (2326620)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=74774137:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.33 % (2326615)% WARNING: option uhcvi not known.
% 0.20/0.33 % (2326619)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2050258945:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.33 % (2326614)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4264672543_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.33 % (2326617)dis+10_1_sil=32000:sp=arity:random_seed=1697046774:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.33 % (2326616)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2345228673:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.33 % (2326618)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3305282285:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.33 % (2326615)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1600828990:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.33 % Detected minimum model sizes of [4]
% 0.20/0.33 % Detected maximum model sizes of [max]
% 0.20/0.33 % TRYING [4]
% 0.20/0.33 % (2326620)Instruction limit reached!
% 0.20/0.33 % (2326620)------------------------------
% 0.20/0.33 % (2326620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (2326620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (2326620)CaDiCaL version: 2.1.3
% 0.20/0.33 % (2326620)Termination reason: Instruction limit
% 0.20/0.33 % (2326620)Termination phase: Saturation
% 0.20/0.33 % (2326620)Time elapsed: 0.057 s
% 0.20/0.33 % (2326620)Peak memory usage: 13 MB
% 0.20/0.33 % (2326620)Instructions burned: 162 (million)
% 0.20/0.33 % (2326615) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2326609-2326615"...
% 0.20/0.33 % TRYING [5]
% 0.20/0.33 % (2326628)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3744276679:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.33 % (2326615)...printing done.
% 0.20/0.33 % (2326615)Refutation found. Thanks to Tanya!
% 0.20/0.33 % SZS status Theorem for theBenchmark
% 0.20/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33 % (2326615)------------------------------
% 0.20/0.33 % (2326615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (2326615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (2326615)CaDiCaL version: 2.1.3
% 0.20/0.33 % (2326615)Termination reason: Refutation
% 0.20/0.33 % (2326615)Time elapsed: 0.061 s
% 0.20/0.33 % (2326615)Peak memory usage: 13 MB
% 0.20/0.33 % (2326615)Instructions burned: 87 (million)
% 0.20/0.33 % (2326609)Success in time 0.095 s
% 0.20/0.33 % Vampire exiting
%------------------------------------------------------------------------------