%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV467+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 03:22:14 PM UTC 2026
% Result : Theorem 10.35s 2.73s
% Output : CNFRefutation 10.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 4
% Syntax : Number of formulae : 113 ( 40 unt; 0 def)
% Number of atoms : 1034 ( 408 equ)
% Maximal formula atoms : 98 ( 9 avg)
% Number of connectives : 1536 ( 615 ~; 482 |; 356 &)
% ( 2 <=>; 81 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 21 con; 0-2 aty)
% Number of variables : 478 ( 2 sgn 451 !; 27 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : leq(host(X0),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(f47,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(f62,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(f67,conjecture,
! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X7,X6,X5] :
( ( host(X6) = s(index(pendack,host(X5)))
& host(X7) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& leq(nbr_proc,s(index(pendack,host(X5))))
& elem(m_Ack(X5,X7),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& host(X5) = host(X7)
& host(X5) = nbr_proc
& elem(m_Down(X6),queue(host(X5)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( elem(m_Down(X7),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& elem(m_Halt(X5),queue(host(X6)))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive) )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = elec_2
| index(status,host(X4)) = elec_1 ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_1
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4,X5] :
( ( elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ( index(status,host(X2)) = elec_1
& ! [X4] :
( ( leq(s(zero),X4)
& ~ leq(host(X2),X4) )
=> ( X4 = host(X3)
| setIn(X4,index(down,host(X2))) ) ) )
=> ( leq(nbr_proc,host(X2))
=> ! [X4] :
( ~ setIn(host(X4),setEmpty)
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X2) != host(X11)
=> ( ( host(X10) = s(index(pendack,host(X11)))
& host(X9) = index(pendack,host(X11))
& index(status,host(X11)) = elec_2
& leq(nbr_proc,s(index(pendack,host(X11))))
& elem(m_Ack(X11,X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& setIn(X11,alive) )
=> ~ ( host(X2) = host(X8)
& setIn(X8,alive) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X7,X6,X5] :
( ( host(X6) = s(index(pendack,host(X5)))
& host(X7) = index(pendack,host(X5))
& index(status,host(X5)) = elec_2
& leq(nbr_proc,s(index(pendack,host(X5))))
& elem(m_Ack(X5,X7),queue(host(X5)))
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X7,X6,X5] :
( ( index(status,host(X5)) = elec_1
& host(X5) = host(X7)
& host(X5) = nbr_proc
& elem(m_Down(X6),queue(host(X5)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X5),X8) )
=> ( X8 = host(X6)
| setIn(X8,index(down,host(X5))) ) ) )
=> ~ ( elem(m_Down(X7),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& elem(m_Halt(X5),queue(host(X6)))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4)) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> ~ leq(index(pendack,host(X4)),index(pendack,host(X5))) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive) )
=> ~ elem(m_Ack(X4,X6),queue(host(X4))) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& index(status,host(X4)) = elec_2
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X4),host(X5)) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4] :
( ( setIn(X4,alive)
& ( index(status,host(X4)) = elec_2
| index(status,host(X4)) = elec_1 ) )
=> index(elid,host(X4)) = X4 )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_1
& setIn(X5,alive) )
=> ~ elem(m_Ack(X5,X4),queue(host(X5))) )
& ! [X4,X5] :
( ( elem(m_Ack(X5,X4),queue(host(X5)))
& setIn(X5,alive) )
=> leq(host(X4),index(pendack,host(X5))) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( elem(m_Ack(X5,X4),queue(host(X6)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X4,X5] :
( elem(m_Down(X5),queue(host(X4)))
=> host(X5) != host(X4) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ( index(status,host(X2)) = elec_1
& ! [X4] :
( ( leq(s(zero),X4)
& ~ leq(host(X2),X4) )
=> ( X4 = host(X3)
| setIn(X4,index(down,host(X2))) ) ) )
=> ( leq(nbr_proc,host(X2))
=> ! [X4] :
( ~ setIn(host(X4),setEmpty)
=> ! [X8] :
( host(X2) = host(X8)
=> ! [X9,X10,X11] :
( host(X2) != host(X11)
=> ( ( host(X10) = s(index(pendack,host(X11)))
& host(X9) = index(pendack,host(X11))
& index(status,host(X11)) = elec_2
& leq(nbr_proc,s(index(pendack,host(X11))))
& elem(m_Ack(X11,X9),queue(host(X11)))
& elem(m_Down(X10),queue(host(X11)))
& setIn(X11,alive) )
=> ~ ( host(X2) = host(X8)
& setIn(X8,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X38,X39,X40,X41] :
( ( s(index(pendack,host(X41))) = host(X40)
& index(pendack,host(X41)) = host(X39)
& elec_2 = index(status,host(X41))
& leq(nbr_proc,s(index(pendack,host(X41))))
& elem(m_Ack(X41,X39),queue(host(X41)))
& elem(m_Down(X40),queue(host(X41)))
& setIn(X41,alive) )
=> ~ ( norm = index(status,host(X38))
& host(X38) = index(ldr,host(X38))
& setIn(X38,alive) ) )
& ! [X33,X34,X35,X36] :
( ( elec_1 = index(status,host(X36))
& host(X36) = host(X34)
& nbr_proc = host(X36)
& elem(m_Down(X35),queue(host(X36)))
& ! [X37] :
( ( leq(s(zero),X37)
& ~ leq(host(X36),X37) )
=> ( host(X35) = X37
| setIn(X37,index(down,host(X36))) ) ) )
=> ~ ( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) )
& ! [X30,X31,X32] :
( ( elec_2 = index(status,host(X32))
& elem(m_Halt(X32),queue(host(X31)))
& setIn(X32,alive)
& ~ leq(index(pendack,host(X32)),host(X30)) )
=> ~ ( norm = index(status,host(X30))
& host(X30) = index(ldr,host(X30))
& setIn(X30,alive) ) )
& ! [X28,X29] :
( ( elec_2 = index(status,host(X29))
& elec_2 = index(status,host(X28))
& setIn(X29,alive)
& setIn(X28,alive)
& ~ leq(host(X28),host(X29)) )
=> ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X25,X26,X27] :
( ( elec_2 = index(status,host(X27))
& elec_2 = index(status,host(X25))
& host(X27) = host(X26)
& setIn(X27,alive)
& setIn(X25,alive) )
=> ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [X23,X24] :
( ( elec_2 = index(status,host(X24))
& elec_2 = index(status,host(X23))
& setIn(X24,alive)
& setIn(X23,alive)
& ~ leq(host(X23),host(X24)) )
=> leq(index(pendack,host(X24)),host(X23)) )
& ! [X20,X21,X22] :
( ( host(X20) = host(X21)
& elem(m_Down(X21),queue(host(X22)))
& setIn(X22,alive) )
=> ~ ( norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20))
& setIn(X20,alive) ) )
& ! [X19] :
( ( setIn(X19,alive)
& ( elec_2 = index(status,host(X19))
| elec_1 = index(status,host(X19)) ) )
=> index(elid,host(X19)) = X19 )
& ! [X17,X18] :
( ( elec_1 = index(status,host(X18))
& setIn(X18,alive) )
=> ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X15,X16] :
( ( elem(m_Ack(X16,X15),queue(host(X16)))
& setIn(X16,alive) )
=> leq(host(X15),index(pendack,host(X16))) )
& ! [X13,X14] :
( ( host(X13) = host(X14)
& X13 != X14 )
=> ( ~ setIn(X14,alive)
| ~ setIn(X13,alive) ) )
& ! [X10,X11,X12] :
( elem(m_Ack(X12,X10),queue(host(X11)))
=> ~ leq(host(X10),host(X12)) )
& ! [X8,X9] :
( elem(m_Halt(X9),queue(host(X8)))
=> ~ leq(host(X8),host(X9)) )
& ! [X6,X7] :
( elem(m_Down(X7),queue(host(X6)))
=> host(X6) != host(X7) )
& ! [X4,X5] :
( elem(m_Ldr(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& index(status,host(X2)) = wait )
| ( index(status,host(X2)) = norm
& index(ldr,host(X2)) = host(X3) ) )
=> ( ( index(status,host(X2)) = elec_1
& ! [X42] :
( ( leq(s(zero),X42)
& ~ leq(host(X2),X42) )
=> ( host(X3) = X42
| setIn(X42,index(down,host(X2))) ) ) )
=> ( leq(nbr_proc,host(X2))
=> ! [X43] :
( ~ setIn(host(X43),setEmpty)
=> ! [X44] :
( host(X2) = host(X44)
=> ! [X45,X46,X47] :
( host(X2) != host(X47)
=> ( ( s(index(pendack,host(X47))) = host(X46)
& index(pendack,host(X47)) = host(X45)
& elec_2 = index(status,host(X47))
& leq(nbr_proc,s(index(pendack,host(X47))))
& elem(m_Ack(X47,X45),queue(host(X47)))
& elem(m_Down(X46),queue(host(X47)))
& setIn(X47,alive) )
=> ~ ( host(X2) = host(X44)
& setIn(X44,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X38,X39,X40,X41] :
( s(index(pendack,host(X41))) != host(X40)
| index(pendack,host(X41)) != host(X39)
| elec_2 != index(status,host(X41))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ setIn(X41,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| ~ setIn(X38,alive) )
& ! [X33,X34,X35,X36] :
( elec_1 != index(status,host(X36))
| host(X36) != host(X34)
| nbr_proc != host(X36)
| ~ elem(m_Down(X35),queue(host(X36)))
| ? [X37] :
( leq(s(zero),X37)
& ~ leq(host(X36),X37)
& host(X35) != X37
& ~ setIn(X37,index(down,host(X36))) )
| ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X30,X31,X32] :
( elec_2 != index(status,host(X32))
| ~ elem(m_Halt(X32),queue(host(X31)))
| ~ setIn(X32,alive)
| leq(index(pendack,host(X32)),host(X30))
| norm != index(status,host(X30))
| host(X30) != index(ldr,host(X30))
| ~ setIn(X30,alive) )
& ! [X28,X29] :
( elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X28))
| ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| leq(host(X28),host(X29))
| ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X25,X26,X27] :
( elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X25))
| host(X27) != host(X26)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [X23,X24] :
( elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24))
| leq(index(pendack,host(X24)),host(X23)) )
& ! [X20,X21,X22] :
( host(X20) != host(X21)
| ~ elem(m_Down(X21),queue(host(X22)))
| ~ setIn(X22,alive)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive) )
& ! [X19] :
( ~ setIn(X19,alive)
| ( elec_2 != index(status,host(X19))
& elec_1 != index(status,host(X19)) )
| index(elid,host(X19)) = X19 )
& ! [X17,X18] :
( elec_1 != index(status,host(X18))
| ~ setIn(X18,alive)
| ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X15,X16] :
( ~ elem(m_Ack(X16,X15),queue(host(X16)))
| ~ setIn(X16,alive)
| leq(host(X15),index(pendack,host(X16))) )
& ! [X13,X14] :
( host(X13) != host(X14)
| X13 = X14
| ~ setIn(X14,alive)
| ~ setIn(X13,alive) )
& ! [X10,X11,X12] :
( ~ elem(m_Ack(X12,X10),queue(host(X11)))
| ~ leq(host(X10),host(X12)) )
& ! [X8,X9] :
( ~ elem(m_Halt(X9),queue(host(X8)))
| ~ leq(host(X8),host(X9)) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| host(X6) != host(X7) )
& ! [X4,X5] :
( ~ elem(m_Ldr(X5),queue(host(X4)))
| ~ leq(host(X4),host(X5)) )
& setIn(X2,alive)
& ~ leq(host(X2),host(X3))
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& index(status,host(X2)) = elec_1
& ! [X42] :
( ~ leq(s(zero),X42)
| leq(host(X2),X42)
| host(X3) = X42
| setIn(X42,index(down,host(X2))) )
& leq(nbr_proc,host(X2))
& ? [X43] :
( ~ setIn(host(X43),setEmpty)
& ? [X44] :
( host(X2) = host(X44)
& ? [X45,X46,X47] :
( host(X2) != host(X47)
& s(index(pendack,host(X47))) = host(X46)
& index(pendack,host(X47)) = host(X45)
& elec_2 = index(status,host(X47))
& leq(nbr_proc,s(index(pendack,host(X47))))
& elem(m_Ack(X47,X45),queue(host(X47)))
& elem(m_Down(X46),queue(host(X47)))
& setIn(X47,alive)
& host(X2) = host(X44)
& setIn(X44,alive) ) ) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X38,X39,X40,X41] :
( s(index(pendack,host(X41))) != host(X40)
| index(pendack,host(X41)) != host(X39)
| elec_2 != index(status,host(X41))
| ~ leq(nbr_proc,s(index(pendack,host(X41))))
| ~ elem(m_Ack(X41,X39),queue(host(X41)))
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ setIn(X41,alive)
| norm != index(status,host(X38))
| host(X38) != index(ldr,host(X38))
| ~ setIn(X38,alive) )
& ! [X33,X34,X35,X36] :
( elec_1 != index(status,host(X36))
| host(X36) != host(X34)
| nbr_proc != host(X36)
| ~ elem(m_Down(X35),queue(host(X36)))
| ? [X37] :
( leq(s(zero),X37)
& ~ leq(host(X36),X37)
& host(X35) != X37
& ~ setIn(X37,index(down,host(X36))) )
| ~ elem(m_Down(X34),queue(host(X33)))
| ~ setIn(X33,alive) )
& ! [X30,X31,X32] :
( elec_2 != index(status,host(X32))
| ~ elem(m_Halt(X32),queue(host(X31)))
| ~ setIn(X32,alive)
| leq(index(pendack,host(X32)),host(X30))
| norm != index(status,host(X30))
| host(X30) != index(ldr,host(X30))
| ~ setIn(X30,alive) )
& ! [X28,X29] :
( elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X28))
| ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| leq(host(X28),host(X29))
| ~ leq(index(pendack,host(X28)),index(pendack,host(X29))) )
& ! [X25,X26,X27] :
( elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X25))
| host(X27) != host(X26)
| ~ setIn(X27,alive)
| ~ setIn(X25,alive)
| ~ elem(m_Ack(X25,X26),queue(host(X25))) )
& ! [X23,X24] :
( elec_2 != index(status,host(X24))
| elec_2 != index(status,host(X23))
| ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| leq(host(X23),host(X24))
| leq(index(pendack,host(X24)),host(X23)) )
& ! [X20,X21,X22] :
( host(X20) != host(X21)
| ~ elem(m_Down(X21),queue(host(X22)))
| ~ setIn(X22,alive)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive) )
& ! [X19] :
( ~ setIn(X19,alive)
| ( elec_2 != index(status,host(X19))
& elec_1 != index(status,host(X19)) )
| index(elid,host(X19)) = X19 )
& ! [X17,X18] :
( elec_1 != index(status,host(X18))
| ~ setIn(X18,alive)
| ~ elem(m_Ack(X18,X17),queue(host(X18))) )
& ! [X15,X16] :
( ~ elem(m_Ack(X16,X15),queue(host(X16)))
| ~ setIn(X16,alive)
| leq(host(X15),index(pendack,host(X16))) )
& ! [X13,X14] :
( host(X13) != host(X14)
| X13 = X14
| ~ setIn(X14,alive)
| ~ setIn(X13,alive) )
& ! [X10,X11,X12] :
( ~ elem(m_Ack(X12,X10),queue(host(X11)))
| ~ leq(host(X10),host(X12)) )
& ! [X8,X9] :
( ~ elem(m_Halt(X9),queue(host(X8)))
| ~ leq(host(X8),host(X9)) )
& ! [X6,X7] :
( ~ elem(m_Down(X7),queue(host(X6)))
| host(X6) != host(X7) )
& ! [X4,X5] :
( ~ elem(m_Ldr(X5),queue(host(X4)))
| ~ leq(host(X4),host(X5)) )
& setIn(X2,alive)
& ~ leq(host(X2),host(X3))
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& index(status,host(X2)) = elec_1
& ! [X42] :
( ~ leq(s(zero),X42)
| leq(host(X2),X42)
| host(X3) = X42
| setIn(X42,index(down,host(X2))) )
& leq(nbr_proc,host(X2))
& ? [X43] :
( ~ setIn(host(X43),setEmpty)
& ? [X44] :
( host(X2) = host(X44)
& ? [X45,X46,X47] :
( host(X2) != host(X47)
& s(index(pendack,host(X47))) = host(X46)
& index(pendack,host(X47)) = host(X45)
& elec_2 = index(status,host(X47))
& leq(nbr_proc,s(index(pendack,host(X47))))
& elem(m_Ack(X47,X45),queue(host(X47)))
& elem(m_Down(X46),queue(host(X47)))
& setIn(X47,alive)
& host(X2) = host(X44)
& setIn(X44,alive) ) ) ) ),
inference(flattening,[],[f70]) ).
fof(f82,plain,
? [X0,X1,X2] :
( queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X43,X44,X45,X46] :
( host(X45) != s(index(pendack,host(X46)))
| host(X44) != index(pendack,host(X46))
| elec_2 != index(status,host(X46))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ setIn(X46,alive)
| norm != index(status,host(X43))
| host(X43) != index(ldr,host(X43))
| ~ setIn(X43,alive) )
& ! [X38,X39,X40,X41] :
( elec_1 != index(status,host(X41))
| host(X41) != host(X39)
| nbr_proc != host(X41)
| ~ elem(m_Down(X40),queue(host(X41)))
| ? [X42] :
( leq(s(zero),X42)
& ~ leq(host(X41),X42)
& host(X40) != X42
& ~ setIn(X42,index(down,host(X41))) )
| ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive) )
& ! [X35,X36,X37] :
( elec_2 != index(status,host(X37))
| ~ elem(m_Halt(X37),queue(host(X36)))
| ~ setIn(X37,alive)
| leq(index(pendack,host(X37)),host(X35))
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| ~ setIn(X35,alive) )
& ! [X33,X34] :
( elec_2 != index(status,host(X34))
| elec_2 != index(status,host(X33))
| ~ setIn(X34,alive)
| ~ setIn(X33,alive)
| leq(host(X33),host(X34))
| ~ leq(index(pendack,host(X33)),index(pendack,host(X34))) )
& ! [X30,X31,X32] :
( elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X30))
| host(X32) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| ~ elem(m_Ack(X30,X31),queue(host(X30))) )
& ! [X28,X29] :
( elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X28))
| ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| leq(host(X28),host(X29))
| leq(index(pendack,host(X29)),host(X28)) )
& ! [X25,X26,X27] :
( host(X26) != host(X25)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ setIn(X27,alive)
| norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25))
| ~ setIn(X25,alive) )
& ! [X24] :
( ~ setIn(X24,alive)
| ( elec_2 != index(status,host(X24))
& elec_1 != index(status,host(X24)) )
| index(elid,host(X24)) = X24 )
& ! [X22,X23] :
( elec_1 != index(status,host(X23))
| ~ setIn(X23,alive)
| ~ elem(m_Ack(X23,X22),queue(host(X23))) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| leq(host(X20),index(pendack,host(X21))) )
& ! [X18,X19] :
( host(X18) != host(X19)
| X18 = X19
| ~ setIn(X19,alive)
| ~ setIn(X18,alive) )
& ! [X15,X16,X17] :
( ~ elem(m_Ack(X17,X15),queue(host(X16)))
| ~ leq(host(X15),host(X17)) )
& ! [X13,X14] :
( ~ elem(m_Halt(X14),queue(host(X13)))
| ~ leq(host(X13),host(X14)) )
& ! [X11,X12] :
( ~ elem(m_Down(X12),queue(host(X11)))
| host(X11) != host(X12) )
& ! [X9,X10] :
( ~ elem(m_Ldr(X10),queue(host(X9)))
| ~ leq(host(X9),host(X10)) )
& setIn(X1,alive)
& ~ leq(host(X1),host(X2))
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& elec_1 = index(status,host(X1))
& ! [X8] :
( ~ leq(s(zero),X8)
| leq(host(X1),X8)
| host(X2) = X8
| setIn(X8,index(down,host(X1))) )
& leq(nbr_proc,host(X1))
& ? [X3] :
( ~ setIn(host(X3),setEmpty)
& ? [X4] :
( host(X1) = host(X4)
& ? [X5,X6,X7] :
( host(X1) != host(X7)
& host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Ack(X7,X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& setIn(X7,alive)
& host(X1) = host(X4)
& setIn(X4,alive) ) ) ) ),
inference(rectify,[],[f71]) ).
fof(f83,plain,
( queue(host(sK1)) = cons(m_Down(sK2),sK0)
& ! [X43,X44,X45,X46] :
( host(X45) != s(index(pendack,host(X46)))
| host(X44) != index(pendack,host(X46))
| elec_2 != index(status,host(X46))
| ~ leq(nbr_proc,s(index(pendack,host(X46))))
| ~ elem(m_Ack(X46,X44),queue(host(X46)))
| ~ elem(m_Down(X45),queue(host(X46)))
| ~ setIn(X46,alive)
| norm != index(status,host(X43))
| host(X43) != index(ldr,host(X43))
| ~ setIn(X43,alive) )
& ! [X38,X39,X40,X41] :
( elec_1 != index(status,host(X41))
| host(X41) != host(X39)
| nbr_proc != host(X41)
| ~ elem(m_Down(X40),queue(host(X41)))
| ( leq(s(zero),sK8(X40,X41))
& ~ leq(host(X41),sK8(X40,X41))
& host(X40) != sK8(X40,X41)
& ~ setIn(sK8(X40,X41),index(down,host(X41))) )
| ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive) )
& ! [X35,X36,X37] :
( elec_2 != index(status,host(X37))
| ~ elem(m_Halt(X37),queue(host(X36)))
| ~ setIn(X37,alive)
| leq(index(pendack,host(X37)),host(X35))
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| ~ setIn(X35,alive) )
& ! [X33,X34] :
( elec_2 != index(status,host(X34))
| elec_2 != index(status,host(X33))
| ~ setIn(X34,alive)
| ~ setIn(X33,alive)
| leq(host(X33),host(X34))
| ~ leq(index(pendack,host(X33)),index(pendack,host(X34))) )
& ! [X30,X31,X32] :
( elec_2 != index(status,host(X32))
| elec_2 != index(status,host(X30))
| host(X32) != host(X31)
| ~ setIn(X32,alive)
| ~ setIn(X30,alive)
| ~ elem(m_Ack(X30,X31),queue(host(X30))) )
& ! [X28,X29] :
( elec_2 != index(status,host(X29))
| elec_2 != index(status,host(X28))
| ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| leq(host(X28),host(X29))
| leq(index(pendack,host(X29)),host(X28)) )
& ! [X25,X26,X27] :
( host(X26) != host(X25)
| ~ elem(m_Down(X26),queue(host(X27)))
| ~ setIn(X27,alive)
| norm != index(status,host(X25))
| host(X25) != index(ldr,host(X25))
| ~ setIn(X25,alive) )
& ! [X24] :
( ~ setIn(X24,alive)
| ( elec_2 != index(status,host(X24))
& elec_1 != index(status,host(X24)) )
| index(elid,host(X24)) = X24 )
& ! [X22,X23] :
( elec_1 != index(status,host(X23))
| ~ setIn(X23,alive)
| ~ elem(m_Ack(X23,X22),queue(host(X23))) )
& ! [X20,X21] :
( ~ elem(m_Ack(X21,X20),queue(host(X21)))
| ~ setIn(X21,alive)
| leq(host(X20),index(pendack,host(X21))) )
& ! [X18,X19] :
( host(X18) != host(X19)
| X18 = X19
| ~ setIn(X19,alive)
| ~ setIn(X18,alive) )
& ! [X15,X16,X17] :
( ~ elem(m_Ack(X17,X15),queue(host(X16)))
| ~ leq(host(X15),host(X17)) )
& ! [X13,X14] :
( ~ elem(m_Halt(X14),queue(host(X13)))
| ~ leq(host(X13),host(X14)) )
& ! [X11,X12] :
( ~ elem(m_Down(X12),queue(host(X11)))
| host(X11) != host(X12) )
& ! [X9,X10] :
( ~ elem(m_Ldr(X10),queue(host(X9)))
| ~ leq(host(X9),host(X10)) )
& setIn(sK1,alive)
& ~ leq(host(sK1),host(sK2))
& ( host(sK2) != host(index(elid,host(sK1)))
| wait != index(status,host(sK1)) )
& ( norm != index(status,host(sK1))
| host(sK2) != index(ldr,host(sK1)) )
& elec_1 = index(status,host(sK1))
& ! [X8] :
( ~ leq(s(zero),X8)
| leq(host(sK1),X8)
| host(sK2) = X8
| setIn(X8,index(down,host(sK1))) )
& leq(nbr_proc,host(sK1))
& ~ setIn(host(sK3),setEmpty)
& host(sK1) = host(sK4)
& host(sK1) != host(sK7)
& s(index(pendack,host(sK7))) = host(sK6)
& index(pendack,host(sK7)) = host(sK5)
& elec_2 = index(status,host(sK7))
& leq(nbr_proc,s(index(pendack,host(sK7))))
& elem(m_Ack(sK7,sK5),queue(host(sK7)))
& elem(m_Down(sK6),queue(host(sK7)))
& setIn(sK7,alive)
& host(sK1) = host(sK4)
& setIn(sK4,alive) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X42,sK8(X40,X41))],[f82]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,cons(X1,X2))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( ~ elem(X0,cons(X1,X2))
| elem(X0,X2)
| X0 = X1 )
& ( ( ~ elem(X0,X2)
& X0 != X1 )
| elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f89,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ( leq(X1,X0)
& leq(X0,X1) ) ) ),
inference(flattening,[],[f88]) ).
fof(f98,plain,
queue(host(sK1)) = cons(m_Down(sK2),sK0),
inference(cnf_transformation,[],[f83]) ).
fof(f100,plain,
! [X40,X38,X41,X39] :
( elec_1 != index(status,host(X41))
| host(X41) != host(X39)
| nbr_proc != host(X41)
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(s(zero),sK8(X40,X41))
| ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f101,plain,
! [X40,X38,X41,X39] :
( elec_1 != index(status,host(X41))
| host(X41) != host(X39)
| nbr_proc != host(X41)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ leq(host(X41),sK8(X40,X41))
| ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f102,plain,
! [X40,X38,X41,X39] :
( elec_1 != index(status,host(X41))
| host(X41) != host(X39)
| nbr_proc != host(X41)
| ~ elem(m_Down(X40),queue(host(X41)))
| host(X40) != sK8(X40,X41)
| ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f103,plain,
! [X40,X38,X41,X39] :
( elec_1 != index(status,host(X41))
| host(X41) != host(X39)
| nbr_proc != host(X41)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ setIn(sK8(X40,X41),index(down,host(X41)))
| ~ elem(m_Down(X39),queue(host(X38)))
| ~ setIn(X38,alive) ),
inference(cnf_transformation,[],[f83]) ).
fof(f122,plain,
elec_1 = index(status,host(sK1)),
inference(cnf_transformation,[],[f83]) ).
fof(f123,plain,
! [X8] :
( ~ leq(s(zero),X8)
| leq(host(sK1),X8)
| host(sK2) = X8
| setIn(X8,index(down,host(sK1))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
leq(nbr_proc,host(sK1)),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
s(index(pendack,host(sK7))) = host(sK6),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
index(pendack,host(sK7)) = host(sK5),
inference(cnf_transformation,[],[f83]) ).
fof(f131,plain,
leq(nbr_proc,s(index(pendack,host(sK7)))),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
elem(m_Down(sK6),queue(host(sK7))),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f149,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f154,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f167,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f149]) ).
tcf(c_51,negated_conjecture,
setIn(sK7,alive),
inference(cnf_transformation,[],[f134]) ).
tcf(c_52,negated_conjecture,
elem(m_Down(sK6),queue(host(sK7))),
inference(cnf_transformation,[],[f133]) ).
tcf(c_54,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(sK7)))),
inference(cnf_transformation,[],[f131]) ).
tcf(c_56,negated_conjecture,
index(pendack,host(sK7)) = host(sK5),
inference(cnf_transformation,[],[f129]) ).
tcf(c_57,negated_conjecture,
s(index(pendack,host(sK7))) = host(sK6),
inference(cnf_transformation,[],[f128]) ).
tcf(c_61,negated_conjecture,
leq(nbr_proc,host(sK1)),
inference(cnf_transformation,[],[f124]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] :
( leq(host(sK1),X0)
| setIn(X0,index(down,host(sK1)))
| ( host(sK2) = X0 )
| ~ leq(s(zero),X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_63,negated_conjecture,
index(status,host(sK1)) = elec_1,
inference(cnf_transformation,[],[f122]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X3,alive)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ setIn(sK8(X2,X0),index(down,host(X0)))
| ( host(X0) != nbr_proc )
| ( host(X0) != host(X1) )
| ( index(status,host(X0)) != elec_1 ) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X3,alive)
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X1) != nbr_proc )
| ( host(X1) != host(X2) )
| ( sK8(X0,X1) != host(X0) )
| ( index(status,host(X1)) != elec_1 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ setIn(X3,alive)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X3)))
| ~ leq(host(X0),sK8(X2,X0))
| ( host(X0) != nbr_proc )
| ( host(X0) != host(X1) )
| ( index(status,host(X0)) != elec_1 ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(s(zero),sK8(X3,X0))
| ~ setIn(X2,alive)
| ~ elem(m_Down(X3),queue(host(X0)))
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X0) != nbr_proc )
| ( host(X0) != host(X1) )
| ( index(status,host(X0)) != elec_1 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_87,negated_conjecture,
cons(m_Down(sK2),sK0) = queue(host(sK1)),
inference(cnf_transformation,[],[f98]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f206]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_117,plain,
! [X0: $i] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f167]) ).
tcf(c_853,plain,
leq(nbr_proc,s(host(sK5))),
inference(demodulation,[status(thm)],[c_54,c_56]) ).
tcf(c_874,plain,
s(host(sK5)) = host(sK6),
inference(light_normalisation,[status(thm)],[c_57,c_56]) ).
tcf(c_875,plain,
leq(nbr_proc,host(sK6)),
inference(demodulation,[status(thm)],[c_853,c_874]) ).
tcf(c_3820,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK8(X2,sK1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(sK1) != nbr_proc )
| ( host(X0) != host(sK1) ) ),
inference(superposition,[status(thm)],[c_63,c_85]) ).
tcf(c_3851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X1,alive)
| ~ leq(host(sK1),sK8(X2,sK1))
| ~ elem(m_Down(X2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(sK1) != nbr_proc )
| ( host(X0) != host(sK1) ) ),
inference(superposition,[status(thm)],[c_63,c_84]) ).
tcf(c_3920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ elem(m_Down(X1),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(sK8(X1,sK1),index(down,host(sK1)))
| ( host(sK1) != nbr_proc )
| ( host(X0) != host(sK1) ) ),
inference(superposition,[status(thm)],[c_63,c_82]) ).
tcf(c_4111,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK8(X0,sK1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ( host(sK1) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_3820]) ).
tcf(c_4160,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ leq(host(sK1),sK8(X0,sK1))
| ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ( host(sK1) != nbr_proc ) ),
inference(equality_resolution,[status(thm)],[c_3851]) ).
tcf(c_4580,plain,
( ( host(sK1) = nbr_proc )
| ~ leq(host(sK1),nbr_proc) ),
inference(superposition,[status(thm)],[c_61,c_106]) ).
tcf(c_4590,plain,
( ( host(sK6) = nbr_proc )
| ~ leq(host(sK6),nbr_proc) ),
inference(superposition,[status(thm)],[c_875,c_106]) ).
tcf(c_4610,plain,
host(sK6) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_4590,c_117]) ).
tcf(c_4615,plain,
host(sK1) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_4580,c_117]) ).
tcf(c_4694,plain,
index(status,nbr_proc) = elec_1,
inference(demodulation,[status(thm)],[c_63,c_4615]) ).
tcf(c_4913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X1,alive)
| ~ leq(host(sK1),sK8(X2,sK1))
| ~ elem(m_Down(X2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(sK1) != nbr_proc )
| ( host(X0) != host(sK1) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_4615,c_84]) ).
tcf(c_4914,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK8(X2,sK1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(sK1) != nbr_proc )
| ( host(X0) != host(sK1) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(superposition,[status(thm)],[c_4615,c_85]) ).
tcf(c_4947,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK8(X2,sK1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK1) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4914,c_4615]) ).
tcf(c_4948,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK8(X2,sK1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK1) ) ),
inference(ground_joinability,[status(thm)],[c_4947,c_4694]) ).
tcf(c_4949,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(s(zero),sK8(X2,sK1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_4948,c_4615]) ).
tcf(c_4955,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X1,alive)
| ~ leq(host(sK1),sK8(X2,sK1))
| ~ elem(m_Down(X2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK1) )
| ( index(status,nbr_proc) != elec_1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4913,c_4615]) ).
tcf(c_4956,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X1,alive)
| ~ leq(host(sK1),sK8(X2,sK1))
| ~ elem(m_Down(X2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK1) ) ),
inference(ground_joinability,[status(thm)],[c_4955,c_4694]) ).
tcf(c_4957,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X1,alive)
| ~ leq(nbr_proc,sK8(X2,sK1))
| ~ elem(m_Down(X2),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_4956,c_4615]) ).
tcf(c_6670,plain,
elem(m_Down(sK2),queue(host(sK1))),
inference(superposition,[status(thm)],[c_87,c_98]) ).
tcf(c_7723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ elem(m_Down(X1),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(sK8(X1,sK1),index(down,host(sK1)))
| ( host(sK1) != nbr_proc )
| ( host(X0) != host(sK1) ) ),
inference(superposition,[status(thm)],[c_63,c_82]) ).
tcf(c_7840,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ elem(m_Down(X1),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(sK8(X1,sK1),index(down,host(sK1)))
| ( host(X0) != host(sK1) ) ),
inference(global_subsumption_just,[status(thm)],[c_7723,c_3920,c_4615]) ).
tcf(c_7852,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ~ setIn(sK8(X0,sK1),index(down,host(sK1))) ),
inference(equality_resolution,[status(thm)],[c_7840]) ).
tcf(c_8441,plain,
! [X0: $i,X1: $i] :
( leq(host(sK1),sK8(X0,sK1))
| ( sK8(X0,sK1) = host(sK2) )
| ~ setIn(X1,alive)
| ~ leq(s(zero),sK8(X0,sK1))
| ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1))) ),
inference(superposition,[status(thm)],[c_62,c_7852]) ).
tcf(c_8949,plain,
! [X0: $i,X1: $i] :
( leq(s(zero),sK8(X1,sK1))
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_4610,c_4949]) ).
tcf(c_8966,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X0,alive)
| ~ leq(nbr_proc,sK8(X1,sK1))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_4610,c_4957]) ).
tcf(c_8995,plain,
! [X0: $i,X1: $i] :
( ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ~ setIn(X1,alive)
| ( sK8(X0,sK1) = host(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_8441,c_4111,c_4160,c_4615,c_8441]) ).
tcf(c_8996,plain,
! [X0: $i,X1: $i] :
( ( sK8(X0,sK1) = host(sK2) )
| ~ setIn(X1,alive)
| ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1))) ),
inference(renaming,[status(thm)],[c_8995]) ).
tcf(c_12383,plain,
( ( host(sK1) = nbr_proc )
| ~ leq(host(sK1),nbr_proc) ),
inference(superposition,[status(thm)],[c_61,c_106]) ).
tcf(c_12393,plain,
( ( host(sK6) = nbr_proc )
| ~ leq(host(sK6),nbr_proc) ),
inference(superposition,[status(thm)],[c_875,c_106]) ).
tcf(c_12413,plain,
host(sK6) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_12393,c_117]) ).
tcf(c_12418,plain,
host(sK1) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_12383,c_117]) ).
tcf(c_12483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(sK8(X1,sK1),index(down,nbr_proc))
| ( host(X0) != nbr_proc ) ),
inference(demodulation,[status(thm)],[c_7840,c_12418]) ).
tcf(c_12488,plain,
elem(m_Down(sK2),queue(nbr_proc)),
inference(demodulation,[status(thm)],[c_6670,c_12418]) ).
tcf(c_12491,plain,
! [X0: $i] :
( leq(nbr_proc,X0)
| setIn(X0,index(down,nbr_proc))
| ( host(sK2) = X0 )
| ~ leq(s(zero),X0) ),
inference(demodulation,[status(thm)],[c_62,c_12418]) ).
tcf(c_17877,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(nbr_proc))
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ setIn(sK8(X0,sK1),index(down,nbr_proc)) ),
inference(superposition,[status(thm)],[c_12413,c_12483]) ).
tcf(c_41800,plain,
! [X0: $i,X1: $i] :
( leq(nbr_proc,sK8(X1,sK1))
| ( sK8(X1,sK1) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ leq(s(zero),sK8(X1,sK1))
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_12491,c_17877]) ).
tcf(c_41808,plain,
! [X0: $i,X1: $i] :
( ~ elem(m_Down(sK6),queue(host(X0)))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(X0,alive)
| ( sK8(X1,sK1) = host(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_41800,c_8949,c_8966,c_41800]) ).
tcf(c_41809,plain,
! [X0: $i,X1: $i] :
( ( sK8(X1,sK1) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(renaming,[status(thm)],[c_41808]) ).
tcf(c_41819,plain,
! [X0: $i] :
( ( sK8(X0,sK1) = host(sK2) )
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(nbr_proc)) ),
inference(superposition,[status(thm)],[c_52,c_41809]) ).
tcf(c_41822,plain,
! [X0: $i] :
( ( sK8(X0,sK1) = host(sK2) )
| ~ elem(m_Down(X0),queue(nbr_proc)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41819,c_51]) ).
tcf(c_41833,plain,
sK8(sK2,sK1) = host(sK2),
inference(superposition,[status(thm)],[c_12488,c_41822]) ).
tcf(c_59823,plain,
elem(m_Down(sK2),queue(host(sK1))),
inference(superposition,[status(thm)],[c_87,c_98]) ).
tcf(c_60148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ elem(m_Down(X1),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(sK8(X1,sK1),index(down,host(sK1)))
| ( host(sK1) != nbr_proc )
| ( host(X0) != host(sK1) ) ),
inference(superposition,[status(thm)],[c_63,c_82]) ).
tcf(c_60160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ setIn(X2,alive)
| ~ elem(m_Down(X1),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(sK8(X1,sK1),index(down,host(sK1)))
| ( host(X0) != host(sK1) ) ),
inference(global_subsumption_just,[status(thm)],[c_60148,c_3920,c_4615]) ).
tcf(c_60172,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ~ setIn(sK8(X0,sK1),index(down,host(sK1))) ),
inference(equality_resolution,[status(thm)],[c_60160]) ).
tcf(c_60309,plain,
! [X0: $i,X1: $i] :
( leq(host(sK1),sK8(X0,sK1))
| ( sK8(X0,sK1) = host(sK2) )
| ~ setIn(X1,alive)
| ~ leq(s(zero),sK8(X0,sK1))
| ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1))) ),
inference(superposition,[status(thm)],[c_62,c_60172]) ).
tcf(c_60501,plain,
! [X0: $i,X1: $i] :
( ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ~ setIn(X1,alive)
| ( sK8(X0,sK1) = host(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_60309,c_8996]) ).
tcf(c_60502,plain,
! [X0: $i,X1: $i] :
( ( sK8(X0,sK1) = host(sK2) )
| ~ setIn(X1,alive)
| ~ elem(m_Down(sK1),queue(host(X1)))
| ~ elem(m_Down(X0),queue(host(sK1))) ),
inference(renaming,[status(thm)],[c_60501]) ).
tcf(c_60511,plain,
! [X0: $i] :
( ( sK8(sK2,sK1) = host(sK2) )
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK1),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_59823,c_60502]) ).
tcf(c_60712,plain,
( ( host(sK1) = nbr_proc )
| ~ leq(host(sK1),nbr_proc) ),
inference(superposition,[status(thm)],[c_61,c_106]) ).
tcf(c_60721,plain,
( ( host(sK6) = nbr_proc )
| ~ leq(host(sK6),nbr_proc) ),
inference(superposition,[status(thm)],[c_875,c_106]) ).
tcf(c_60730,plain,
host(sK6) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_60721,c_117]) ).
tcf(c_60735,plain,
host(sK1) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_60712,c_117]) ).
tcf(c_60795,plain,
elem(m_Down(sK2),queue(nbr_proc)),
inference(demodulation,[status(thm)],[c_59823,c_60735]) ).
tcf(c_60802,plain,
index(status,nbr_proc) = elec_1,
inference(demodulation,[status(thm)],[c_63,c_60735]) ).
tcf(c_61240,plain,
sK8(sK2,sK1) = host(sK2),
inference(global_subsumption_just,[status(thm)],[c_60511,c_41833]) ).
tcf(c_61242,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ elem(m_Down(sK2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(sK1) != nbr_proc )
| ( host(X0) != host(sK1) )
| ( index(status,host(sK1)) != elec_1 ) ),
inference(superposition,[status(thm)],[c_61240,c_83]) ).
tcf(c_61243,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ elem(m_Down(sK2),queue(host(sK1)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK1) ) ),
inference(ground_joinability,[status(thm)],[c_61242,c_60735,c_60802]) ).
tcf(c_61244,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ elem(m_Down(sK2),queue(nbr_proc))
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(light_normalisation,[status(thm)],[c_61243,c_60735]) ).
tcf(c_61245,plain,
! [X0: $i,X1: $i] :
( ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != nbr_proc ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61244,c_60795]) ).
tcf(c_61528,plain,
! [X0: $i] :
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_60730,c_61245]) ).
tcf(c_63312,plain,
~ setIn(sK7,alive),
inference(superposition,[status(thm)],[c_52,c_61528]) ).
tcf(c_63315,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_63312,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV467+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 19:50:49 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 10.35/2.73 % SZS status Started for theBenchmark.p
% 10.35/2.73 % SZS status Theorem for theBenchmark.p
% 10.35/2.73
% 10.35/2.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.35/2.73
% 10.35/2.73 % ------ iProver source info
% 10.35/2.73
% 10.35/2.73 % git: date: 2026-07-19 20:42:38 +0200
% 10.35/2.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.35/2.73 % git: non_committed_changes: false
% 10.35/2.73
% 10.35/2.73 % ------ Parsing...
% 10.35/2.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.35/2.73
% 10.35/2.73 % ------ Preprocessing... sup_sim: 7 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 10.35/2.73
% 10.35/2.73 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.35/2.73
% 10.35/2.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.35/2.73 % ------ Proving...
% 10.35/2.73 % ------ Problem Properties
% 10.35/2.73
% 10.35/2.73 %
% 10.35/2.73 % clauses 95
% 10.35/2.73 % conjectures 35
% 10.35/2.73 % EPR 17
% 10.35/2.73 % Horn 88
% 10.35/2.73 % unary 51
% 10.35/2.73 % binary 21
% 10.35/2.73 % lits 203
% 10.35/2.73 % lits eq 93
% 10.35/2.73 % fd_pure 0
% 10.35/2.73 % fd_pseudo 0
% 10.35/2.73 % fd_cond 1
% 10.35/2.73 % fd_pseudo_cond 12
% 10.35/2.73 % AC symbols 0
% 10.35/2.73
% 10.35/2.73 % ------ Schedule dynamic 5 is on
% 10.35/2.73
% 10.35/2.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.35/2.73
% 10.35/2.73
% 10.35/2.73 % ------
% 10.35/2.73 % Current options:
% 10.35/2.73 % ------
% 10.35/2.73
% 10.35/2.73
% 10.35/2.73 %
% 10.35/2.73
% 10.35/2.73 % ------ Proving...
% 10.35/2.73 %
% 10.35/2.73
% 10.35/2.73 % SZS status Theorem for theBenchmark.p
% 10.35/2.73
% 10.35/2.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.35/2.73
% 10.35/2.73
%------------------------------------------------------------------------------