%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV468+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 2.00s 1.20s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 68 ( 32 unt; 0 def)
% Number of atoms : 908 ( 377 equ)
% Maximal formula atoms : 109 ( 13 avg)
% Number of connectives : 1338 ( 498 ~; 380 |; 374 &)
% ( 2 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 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 : 28 ( 28 usr; 19 con; 0-2 aty)
% Number of variables : 370 ( 2 sgn 349 !; 21 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
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(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,X6,X5] :
( ( index(status,host(X5)) = elec_1
& elem(m_Down(X6),queue(host(X5)))
& ~ leq(host(X5),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& 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,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,X5] :
( ( index(status,host(X5)) = elec_2
& 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,X6,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& host(X6) = host(X5)
& setIn(X5,alive) )
=> ~ ( elem(m_Down(X6),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& host(X5) = host(X6)
& elem(m_Down(X6),queue(host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [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,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Ack(X5,X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( 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(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X5),host(X4)) )
=> ~ elem(m_Down(X6),queue(host(X4))) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& setIn(X5,alive) )
=> ~ ( setIn(host(X5),index(down,host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& setIn(host(X5),index(down,host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [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_2
& setIn(X5,alive) )
=> ~ elem(m_Ack(X4,X5),queue(host(X4))) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [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)
=> ! [X7] :
( host(X2) = host(X7)
=> ! [X8] :
( host(X2) != host(X8)
=> ( ( index(status,host(X8)) = elec_2
& setIn(X8,alive)
& ~ leq(index(pendack,host(X8)),host(X7)) )
=> ~ ( host(X2) = host(X7)
& setIn(X7,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,X6,X5] :
( ( index(status,host(X5)) = elec_1
& elem(m_Down(X6),queue(host(X5)))
& ~ leq(host(X5),host(X4))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X5),X7) )
=> ( X7 = host(X6)
| setIn(X7,index(down,host(X5))) ) ) )
=> ~ ( index(status,host(X4)) = norm
& index(ldr,host(X4)) = host(X4)
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& 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,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,X5] :
( ( index(status,host(X5)) = elec_2
& 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,X6,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& host(X6) = host(X5)
& setIn(X5,alive) )
=> ~ ( elem(m_Down(X6),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& host(X5) = host(X6)
& elem(m_Down(X6),queue(host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [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,X6,X5] :
( ( host(X6) = host(X4)
& elem(m_Ack(X5,X6),queue(host(X5)))
& setIn(X5,alive) )
=> ~ ( 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(X5)),host(X4)) )
& ! [X4,X6,X5] :
( ( index(status,host(X5)) = elec_2
& host(X5) = host(X6)
& setIn(X5,alive)
& setIn(X4,alive)
& ~ leq(host(X5),host(X4)) )
=> ~ elem(m_Down(X6),queue(host(X4))) )
& ! [X4,X5] :
( ( index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm
& setIn(X5,alive) )
=> ~ ( setIn(host(X5),index(down,host(X4)))
& setIn(X4,alive) ) )
& ! [X4,X5] :
( ( index(status,host(X5)) = elec_2
& setIn(host(X5),index(down,host(X4)))
& setIn(X5,alive)
& setIn(X4,alive) )
=> leq(index(pendack,host(X5)),host(X4)) )
& ! [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_2
& setIn(X5,alive) )
=> ~ elem(m_Ack(X4,X5),queue(host(X4))) )
& ! [X4,X5] :
( ( host(X5) = host(X4)
& X5 != X4 )
=> ( ~ setIn(X5,alive)
| ~ setIn(X4,alive) ) )
& ! [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)
=> ! [X7] :
( host(X2) = host(X7)
=> ! [X8] :
( host(X2) != host(X8)
=> ( ( index(status,host(X8)) = elec_2
& setIn(X8,alive)
& ~ leq(index(pendack,host(X8)),host(X7)) )
=> ~ ( host(X2) = host(X7)
& setIn(X7,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X39,X40,X41] :
( ( elec_1 = index(status,host(X41))
& elem(m_Down(X40),queue(host(X41)))
& ~ leq(host(X41),host(X39))
& ! [X42] :
( ( leq(s(zero),X42)
& ~ leq(host(X41),X42) )
=> ( host(X40) = X42
| setIn(X42,index(down,host(X41))) ) ) )
=> ~ ( norm = index(status,host(X39))
& host(X39) = index(ldr,host(X39))
& setIn(X39,alive) ) )
& ! [X36,X37,X38] :
( ( elec_2 = index(status,host(X38))
& host(X36) = host(X37)
& elem(m_Down(X37),queue(host(X38)))
& setIn(X38,alive) )
=> ~ ( norm = index(status,host(X36))
& host(X36) = index(ldr,host(X36))
& setIn(X36,alive) ) )
& ! [X34,X35] :
( ( elec_2 = index(status,host(X35))
& elec_2 = index(status,host(X34))
& setIn(X35,alive)
& setIn(X34,alive)
& ~ leq(host(X34),host(X35)) )
=> ~ leq(index(pendack,host(X34)),index(pendack,host(X35))) )
& ! [X32,X33] :
( ( elec_2 = index(status,host(X33))
& setIn(X33,alive)
& ~ leq(index(pendack,host(X33)),host(X32)) )
=> ~ ( norm = index(status,host(X32))
& host(X32) = index(ldr,host(X32))
& setIn(X32,alive) ) )
& ! [X29,X30,X31] :
( ( host(X31) = index(ldr,host(X31))
& norm = index(status,host(X31))
& host(X31) = host(X30)
& setIn(X31,alive) )
=> ~ ( elem(m_Down(X30),queue(host(X29)))
& setIn(X29,alive) ) )
& ! [X26,X27,X28] :
( ( elec_2 = index(status,host(X28))
& host(X28) = host(X27)
& elem(m_Down(X27),queue(host(X26)))
& setIn(X28,alive)
& setIn(X26,alive) )
=> leq(index(pendack,host(X28)),host(X26)) )
& ! [X23,X24,X25] :
( ( elec_2 = index(status,host(X25))
& elec_2 = index(status,host(X23))
& host(X25) = host(X24)
& setIn(X25,alive)
& setIn(X23,alive) )
=> ~ elem(m_Ack(X23,X24),queue(host(X23))) )
& ! [X20,X21,X22] :
( ( host(X20) = host(X21)
& elem(m_Ack(X22,X21),queue(host(X22)))
& setIn(X22,alive) )
=> ~ ( norm = index(status,host(X20))
& host(X20) = index(ldr,host(X20))
& setIn(X20,alive) ) )
& ! [X18,X19] :
( ( elec_2 = index(status,host(X19))
& elec_2 = index(status,host(X18))
& setIn(X19,alive)
& setIn(X18,alive)
& ~ leq(host(X18),host(X19)) )
=> leq(index(pendack,host(X19)),host(X18)) )
& ! [X15,X16,X17] :
( ( elec_2 = index(status,host(X17))
& host(X17) = host(X16)
& setIn(X17,alive)
& setIn(X15,alive)
& ~ leq(host(X17),host(X15)) )
=> ~ elem(m_Down(X16),queue(host(X15))) )
& ! [X13,X14] :
( ( host(X14) = index(ldr,host(X14))
& norm = index(status,host(X14))
& setIn(X14,alive) )
=> ~ ( setIn(host(X14),index(down,host(X13)))
& setIn(X13,alive) ) )
& ! [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)) )
& ! [X10] :
( ( setIn(X10,alive)
& ( elec_2 = index(status,host(X10))
| elec_1 = index(status,host(X10)) ) )
=> index(elid,host(X10)) = X10 )
& ! [X8,X9] :
( ( elec_2 = index(status,host(X9))
& setIn(X9,alive) )
=> ~ elem(m_Ack(X8,X9),queue(host(X8))) )
& ! [X6,X7] :
( ( host(X6) = host(X7)
& X6 != X7 )
=> ( ~ setIn(X7,alive)
| ~ setIn(X6,alive) ) )
& ! [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
& ! [X43] :
( ( leq(s(zero),X43)
& ~ leq(host(X2),X43) )
=> ( host(X3) = X43
| setIn(X43,index(down,host(X2))) ) ) )
=> ( leq(nbr_proc,host(X2))
=> ! [X44] :
( ~ setIn(host(X44),setEmpty)
=> ! [X45] :
( host(X2) = host(X45)
=> ! [X46] :
( host(X2) != host(X46)
=> ( ( elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45)) )
=> ~ ( host(X2) = host(X45)
& setIn(X45,alive) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X39,X40,X41] :
( elec_1 != index(status,host(X41))
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(host(X41),host(X39))
| ? [X42] :
( leq(s(zero),X42)
& ~ leq(host(X41),X42)
& host(X40) != X42
& ~ setIn(X42,index(down,host(X41))) )
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) )
& ! [X36,X37,X38] :
( elec_2 != index(status,host(X38))
| host(X36) != host(X37)
| ~ elem(m_Down(X37),queue(host(X38)))
| ~ setIn(X38,alive)
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) )
& ! [X34,X35] :
( elec_2 != index(status,host(X35))
| elec_2 != index(status,host(X34))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| leq(host(X34),host(X35))
| ~ leq(index(pendack,host(X34)),index(pendack,host(X35))) )
& ! [X32,X33] :
( elec_2 != index(status,host(X33))
| ~ setIn(X33,alive)
| leq(index(pendack,host(X33)),host(X32))
| norm != index(status,host(X32))
| host(X32) != index(ldr,host(X32))
| ~ setIn(X32,alive) )
& ! [X29,X30,X31] :
( host(X31) != index(ldr,host(X31))
| norm != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X26,X27,X28] :
( elec_2 != index(status,host(X28))
| host(X28) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| leq(index(pendack,host(X28)),host(X26)) )
& ! [X23,X24,X25] :
( elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X25) != host(X24)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive)
| ~ elem(m_Ack(X23,X24),queue(host(X23))) )
& ! [X20,X21,X22] :
( host(X20) != host(X21)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive) )
& ! [X18,X19] :
( elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X18))
| ~ setIn(X19,alive)
| ~ setIn(X18,alive)
| leq(host(X18),host(X19))
| leq(index(pendack,host(X19)),host(X18)) )
& ! [X15,X16,X17] :
( elec_2 != index(status,host(X17))
| host(X17) != host(X16)
| ~ setIn(X17,alive)
| ~ setIn(X15,alive)
| leq(host(X17),host(X15))
| ~ elem(m_Down(X16),queue(host(X15))) )
& ! [X13,X14] :
( host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| ~ setIn(X14,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X13,alive) )
& ! [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)) )
& ! [X10] :
( ~ setIn(X10,alive)
| ( elec_2 != index(status,host(X10))
& elec_1 != index(status,host(X10)) )
| index(elid,host(X10)) = X10 )
& ! [X8,X9] :
( elec_2 != index(status,host(X9))
| ~ setIn(X9,alive)
| ~ elem(m_Ack(X8,X9),queue(host(X8))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| X6 = X7
| ~ setIn(X7,alive)
| ~ setIn(X6,alive) )
& ! [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
& ! [X43] :
( ~ leq(s(zero),X43)
| leq(host(X2),X43)
| host(X3) = X43
| setIn(X43,index(down,host(X2))) )
& leq(nbr_proc,host(X2))
& ? [X44] :
( ~ setIn(host(X44),setEmpty)
& ? [X45] :
( host(X2) = host(X45)
& ? [X46] :
( host(X2) != host(X46)
& elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45))
& host(X2) = host(X45)
& setIn(X45,alive) ) ) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f71,plain,
? [X0,X2,X3] :
( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X39,X40,X41] :
( elec_1 != index(status,host(X41))
| ~ elem(m_Down(X40),queue(host(X41)))
| leq(host(X41),host(X39))
| ? [X42] :
( leq(s(zero),X42)
& ~ leq(host(X41),X42)
& host(X40) != X42
& ~ setIn(X42,index(down,host(X41))) )
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) )
& ! [X36,X37,X38] :
( elec_2 != index(status,host(X38))
| host(X36) != host(X37)
| ~ elem(m_Down(X37),queue(host(X38)))
| ~ setIn(X38,alive)
| norm != index(status,host(X36))
| host(X36) != index(ldr,host(X36))
| ~ setIn(X36,alive) )
& ! [X34,X35] :
( elec_2 != index(status,host(X35))
| elec_2 != index(status,host(X34))
| ~ setIn(X35,alive)
| ~ setIn(X34,alive)
| leq(host(X34),host(X35))
| ~ leq(index(pendack,host(X34)),index(pendack,host(X35))) )
& ! [X32,X33] :
( elec_2 != index(status,host(X33))
| ~ setIn(X33,alive)
| leq(index(pendack,host(X33)),host(X32))
| norm != index(status,host(X32))
| host(X32) != index(ldr,host(X32))
| ~ setIn(X32,alive) )
& ! [X29,X30,X31] :
( host(X31) != index(ldr,host(X31))
| norm != index(status,host(X31))
| host(X31) != host(X30)
| ~ setIn(X31,alive)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X29,alive) )
& ! [X26,X27,X28] :
( elec_2 != index(status,host(X28))
| host(X28) != host(X27)
| ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| leq(index(pendack,host(X28)),host(X26)) )
& ! [X23,X24,X25] :
( elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X25) != host(X24)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive)
| ~ elem(m_Ack(X23,X24),queue(host(X23))) )
& ! [X20,X21,X22] :
( host(X20) != host(X21)
| ~ elem(m_Ack(X22,X21),queue(host(X22)))
| ~ setIn(X22,alive)
| norm != index(status,host(X20))
| host(X20) != index(ldr,host(X20))
| ~ setIn(X20,alive) )
& ! [X18,X19] :
( elec_2 != index(status,host(X19))
| elec_2 != index(status,host(X18))
| ~ setIn(X19,alive)
| ~ setIn(X18,alive)
| leq(host(X18),host(X19))
| leq(index(pendack,host(X19)),host(X18)) )
& ! [X15,X16,X17] :
( elec_2 != index(status,host(X17))
| host(X17) != host(X16)
| ~ setIn(X17,alive)
| ~ setIn(X15,alive)
| leq(host(X17),host(X15))
| ~ elem(m_Down(X16),queue(host(X15))) )
& ! [X13,X14] :
( host(X14) != index(ldr,host(X14))
| norm != index(status,host(X14))
| ~ setIn(X14,alive)
| ~ setIn(host(X14),index(down,host(X13)))
| ~ setIn(X13,alive) )
& ! [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)) )
& ! [X10] :
( ~ setIn(X10,alive)
| ( elec_2 != index(status,host(X10))
& elec_1 != index(status,host(X10)) )
| index(elid,host(X10)) = X10 )
& ! [X8,X9] :
( elec_2 != index(status,host(X9))
| ~ setIn(X9,alive)
| ~ elem(m_Ack(X8,X9),queue(host(X8))) )
& ! [X6,X7] :
( host(X6) != host(X7)
| X6 = X7
| ~ setIn(X7,alive)
| ~ setIn(X6,alive) )
& ! [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
& ! [X43] :
( ~ leq(s(zero),X43)
| leq(host(X2),X43)
| host(X3) = X43
| setIn(X43,index(down,host(X2))) )
& leq(nbr_proc,host(X2))
& ? [X44] :
( ~ setIn(host(X44),setEmpty)
& ? [X45] :
( host(X2) = host(X45)
& ? [X46] :
( host(X2) != host(X46)
& elec_2 = index(status,host(X46))
& setIn(X46,alive)
& ~ leq(index(pendack,host(X46)),host(X45))
& host(X2) = host(X45)
& setIn(X45,alive) ) ) ) ),
inference(flattening,[],[f70]) ).
fof(f82,plain,
? [X0,X1,X2] :
( queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X42,X43,X44] :
( elec_1 != index(status,host(X44))
| ~ elem(m_Down(X43),queue(host(X44)))
| leq(host(X44),host(X42))
| ? [X45] :
( leq(s(zero),X45)
& ~ leq(host(X44),X45)
& host(X43) != X45
& ~ setIn(X45,index(down,host(X44))) )
| norm != index(status,host(X42))
| host(X42) != index(ldr,host(X42))
| ~ setIn(X42,alive) )
& ! [X39,X40,X41] :
( elec_2 != index(status,host(X41))
| host(X40) != host(X39)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ setIn(X41,alive)
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) )
& ! [X37,X38] :
( elec_2 != index(status,host(X38))
| elec_2 != index(status,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive)
| leq(host(X37),host(X38))
| ~ leq(index(pendack,host(X37)),index(pendack,host(X38))) )
& ! [X35,X36] :
( elec_2 != index(status,host(X36))
| ~ setIn(X36,alive)
| leq(index(pendack,host(X36)),host(X35))
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| ~ setIn(X35,alive) )
& ! [X32,X33,X34] :
( host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ~ setIn(X32,alive) )
& ! [X29,X30,X31] :
( elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(index(pendack,host(X31)),host(X29)) )
& ! [X26,X27,X28] :
( elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X26))
| host(X28) != host(X27)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| ~ elem(m_Ack(X26,X27),queue(host(X26))) )
& ! [X23,X24,X25] :
( host(X24) != host(X23)
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| ~ setIn(X25,alive)
| norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive) )
& ! [X21,X22] :
( elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22))
| leq(index(pendack,host(X22)),host(X21)) )
& ! [X18,X19,X20] :
( elec_2 != index(status,host(X20))
| host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| leq(host(X20),host(X18))
| ~ elem(m_Down(X19),queue(host(X18))) )
& ! [X16,X17] :
( host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| ~ setIn(X17,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| ~ setIn(X16,alive) )
& ! [X14,X15] :
( elec_2 != index(status,host(X15))
| ~ setIn(host(X15),index(down,host(X14)))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(index(pendack,host(X15)),host(X14)) )
& ! [X13] :
( ~ setIn(X13,alive)
| ( elec_2 != index(status,host(X13))
& elec_1 != index(status,host(X13)) )
| index(elid,host(X13)) = X13 )
& ! [X11,X12] :
( elec_2 != index(status,host(X12))
| ~ setIn(X12,alive)
| ~ elem(m_Ack(X11,X12),queue(host(X11))) )
& ! [X9,X10] :
( host(X9) != host(X10)
| X9 = X10
| ~ setIn(X10,alive)
| ~ setIn(X9,alive) )
& ! [X7,X8] :
( ~ elem(m_Ldr(X8),queue(host(X7)))
| ~ leq(host(X7),host(X8)) )
& 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))
& ! [X6] :
( ~ leq(s(zero),X6)
| leq(host(X1),X6)
| host(X2) = X6
| setIn(X6,index(down,host(X1))) )
& leq(nbr_proc,host(X1))
& ? [X3] :
( ~ setIn(host(X3),setEmpty)
& ? [X4] :
( host(X1) = host(X4)
& ? [X5] :
( host(X1) != host(X5)
& elec_2 = index(status,host(X5))
& setIn(X5,alive)
& ~ leq(index(pendack,host(X5)),host(X4))
& host(X1) = host(X4)
& setIn(X4,alive) ) ) ) ),
inference(rectify,[],[f71]) ).
fof(f83,plain,
( queue(host(sK1)) = cons(m_Down(sK2),sK0)
& ! [X42,X43,X44] :
( elec_1 != index(status,host(X44))
| ~ elem(m_Down(X43),queue(host(X44)))
| leq(host(X44),host(X42))
| ( leq(s(zero),sK6(X43,X44))
& ~ leq(host(X44),sK6(X43,X44))
& host(X43) != sK6(X43,X44)
& ~ setIn(sK6(X43,X44),index(down,host(X44))) )
| norm != index(status,host(X42))
| host(X42) != index(ldr,host(X42))
| ~ setIn(X42,alive) )
& ! [X39,X40,X41] :
( elec_2 != index(status,host(X41))
| host(X40) != host(X39)
| ~ elem(m_Down(X40),queue(host(X41)))
| ~ setIn(X41,alive)
| norm != index(status,host(X39))
| host(X39) != index(ldr,host(X39))
| ~ setIn(X39,alive) )
& ! [X37,X38] :
( elec_2 != index(status,host(X38))
| elec_2 != index(status,host(X37))
| ~ setIn(X38,alive)
| ~ setIn(X37,alive)
| leq(host(X37),host(X38))
| ~ leq(index(pendack,host(X37)),index(pendack,host(X38))) )
& ! [X35,X36] :
( elec_2 != index(status,host(X36))
| ~ setIn(X36,alive)
| leq(index(pendack,host(X36)),host(X35))
| norm != index(status,host(X35))
| host(X35) != index(ldr,host(X35))
| ~ setIn(X35,alive) )
& ! [X32,X33,X34] :
( host(X34) != index(ldr,host(X34))
| norm != index(status,host(X34))
| host(X33) != host(X34)
| ~ setIn(X34,alive)
| ~ elem(m_Down(X33),queue(host(X32)))
| ~ setIn(X32,alive) )
& ! [X29,X30,X31] :
( elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(index(pendack,host(X31)),host(X29)) )
& ! [X26,X27,X28] :
( elec_2 != index(status,host(X28))
| elec_2 != index(status,host(X26))
| host(X28) != host(X27)
| ~ setIn(X28,alive)
| ~ setIn(X26,alive)
| ~ elem(m_Ack(X26,X27),queue(host(X26))) )
& ! [X23,X24,X25] :
( host(X24) != host(X23)
| ~ elem(m_Ack(X25,X24),queue(host(X25)))
| ~ setIn(X25,alive)
| norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive) )
& ! [X21,X22] :
( elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22))
| leq(index(pendack,host(X22)),host(X21)) )
& ! [X18,X19,X20] :
( elec_2 != index(status,host(X20))
| host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| leq(host(X20),host(X18))
| ~ elem(m_Down(X19),queue(host(X18))) )
& ! [X16,X17] :
( host(X17) != index(ldr,host(X17))
| norm != index(status,host(X17))
| ~ setIn(X17,alive)
| ~ setIn(host(X17),index(down,host(X16)))
| ~ setIn(X16,alive) )
& ! [X14,X15] :
( elec_2 != index(status,host(X15))
| ~ setIn(host(X15),index(down,host(X14)))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(index(pendack,host(X15)),host(X14)) )
& ! [X13] :
( ~ setIn(X13,alive)
| ( elec_2 != index(status,host(X13))
& elec_1 != index(status,host(X13)) )
| index(elid,host(X13)) = X13 )
& ! [X11,X12] :
( elec_2 != index(status,host(X12))
| ~ setIn(X12,alive)
| ~ elem(m_Ack(X11,X12),queue(host(X11))) )
& ! [X9,X10] :
( host(X9) != host(X10)
| X9 = X10
| ~ setIn(X10,alive)
| ~ setIn(X9,alive) )
& ! [X7,X8] :
( ~ elem(m_Ldr(X8),queue(host(X7)))
| ~ leq(host(X7),host(X8)) )
& 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))
& ! [X6] :
( ~ leq(s(zero),X6)
| leq(host(sK1),X6)
| host(sK2) = X6
| setIn(X6,index(down,host(sK1))) )
& leq(nbr_proc,host(sK1))
& ~ setIn(host(sK3),setEmpty)
& host(sK1) = host(sK4)
& host(sK1) != host(sK5)
& elec_2 = index(status,host(sK5))
& setIn(sK5,alive)
& ~ leq(index(pendack,host(sK5)),host(sK4))
& host(sK1) = host(sK4)
& setIn(sK4,alive) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X45,sK6(X43,X44))],[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(f107,plain,
! [X31,X29,X30] :
( elec_2 != index(status,host(X31))
| host(X31) != host(X30)
| ~ elem(m_Down(X30),queue(host(X29)))
| ~ setIn(X31,alive)
| ~ setIn(X29,alive)
| leq(index(pendack,host(X31)),host(X29)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f113,plain,
! [X14,X15] :
( elec_2 != index(status,host(X15))
| ~ setIn(host(X15),index(down,host(X14)))
| ~ setIn(X15,alive)
| ~ setIn(X14,alive)
| leq(index(pendack,host(X15)),host(X14)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f119,plain,
setIn(sK1,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X6] :
( ~ leq(s(zero),X6)
| leq(host(sK1),X6)
| host(sK2) = X6
| setIn(X6,index(down,host(sK1))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f125,plain,
leq(nbr_proc,host(sK1)),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
host(sK1) != host(sK5),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
elec_2 = index(status,host(sK5)),
inference(cnf_transformation,[],[f83]) ).
fof(f130,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f83]) ).
fof(f131,plain,
~ leq(index(pendack,host(sK5)),host(sK4)),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
host(sK1) = host(sK4),
inference(cnf_transformation,[],[f83]) ).
fof(f146,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f163,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f164,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f5]) ).
fof(f203,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f146]) ).
tcf(c_50,negated_conjecture,
host(sK4) = host(sK1),
inference(cnf_transformation,[],[f132]) ).
tcf(c_51,negated_conjecture,
~ leq(index(pendack,host(sK5)),host(sK4)),
inference(cnf_transformation,[],[f131]) ).
tcf(c_52,negated_conjecture,
setIn(sK5,alive),
inference(cnf_transformation,[],[f130]) ).
tcf(c_53,negated_conjecture,
index(status,host(sK5)) = elec_2,
inference(cnf_transformation,[],[f129]) ).
tcf(c_54,negated_conjecture,
host(sK1) != host(sK5),
inference(cnf_transformation,[],[f128]) ).
tcf(c_57,negated_conjecture,
leq(nbr_proc,host(sK1)),
inference(cnf_transformation,[],[f125]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] :
( leq(host(sK1),X0)
| setIn(X0,index(down,host(sK1)))
| ( host(sK2) = X0 )
| ~ leq(s(zero),X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_63,negated_conjecture,
setIn(sK1,alive),
inference(cnf_transformation,[],[f119]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(X0)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(X0),index(down,host(X1)))
| ( index(status,host(X0)) != elec_2 ) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( leq(index(pendack,host(X0)),host(X2))
| ~ setIn(X2,alive)
| ~ setIn(X0,alive)
| ~ elem(m_Down(X1),queue(host(X2)))
| ( host(X0) != host(X1) )
| ( index(status,host(X0)) != elec_2 ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_84,negated_conjecture,
cons(m_Down(sK2),sK0) = queue(host(sK1)),
inference(cnf_transformation,[],[f98]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] : elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f203]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_113,plain,
! [X0: $i] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f163]) ).
tcf(c_114,plain,
! [X0: $i] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f164]) ).
tcf(c_851,plain,
~ leq(index(pendack,host(sK5)),host(sK1)),
inference(light_normalisation,[status(thm)],[c_51,c_50]) ).
tcf(c_3639,plain,
elem(m_Down(sK2),queue(host(sK1))),
inference(superposition,[status(thm)],[c_84,c_95]) ).
tcf(c_3651,plain,
! [X0: $i] :
( leq(index(pendack,host(sK5)),host(X0))
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0))) ),
inference(superposition,[status(thm)],[c_53,c_69]) ).
tcf(c_3654,plain,
! [X0: $i] :
( leq(index(pendack,host(sK5)),host(X0))
| ~ setIn(X0,alive)
| ~ setIn(host(sK5),index(down,host(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3651,c_52]) ).
tcf(c_3728,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK5)),host(X1))
| ~ setIn(sK5,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK5) ) ),
inference(superposition,[status(thm)],[c_53,c_75]) ).
tcf(c_3731,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK5)),host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK5) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3728,c_52]) ).
tcf(c_3923,plain,
( leq(host(sK1),host(sK5))
| leq(index(pendack,host(sK5)),host(sK1))
| ( host(sK5) = host(sK2) )
| ~ setIn(sK1,alive)
| ~ leq(s(zero),host(sK5)) ),
inference(superposition,[status(thm)],[c_58,c_3654]) ).
tcf(c_3924,plain,
( leq(host(sK1),host(sK5))
| ( host(sK5) = host(sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3923,c_851,c_63,c_113]) ).
tcf(c_4381,plain,
( ( host(sK1) = nbr_proc )
| ~ leq(host(sK1),nbr_proc) ),
inference(superposition,[status(thm)],[c_57,c_103]) ).
tcf(c_4397,plain,
( ( host(sK5) = host(sK2) )
| ( host(sK1) = host(sK5) )
| ~ leq(host(sK5),host(sK1)) ),
inference(superposition,[status(thm)],[c_3924,c_103]) ).
tcf(c_4419,plain,
host(sK1) = nbr_proc,
inference(forward_subsumption_resolution,[status(thm)],[c_4381,c_114]) ).
tcf(c_4453,plain,
( ( host(sK5) = host(sK2) )
| ~ leq(host(sK5),host(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4397,c_54]) ).
tcf(c_4474,plain,
elem(m_Down(sK2),queue(nbr_proc)),
inference(demodulation,[status(thm)],[c_3639,c_4419]) ).
tcf(c_4480,plain,
~ leq(index(pendack,host(sK5)),nbr_proc),
inference(demodulation,[status(thm)],[c_851,c_4419]) ).
tcf(c_4591,plain,
( ( host(sK5) = host(sK2) )
| ~ leq(host(sK5),nbr_proc) ),
inference(light_normalisation,[status(thm)],[c_4453,c_4419]) ).
tcf(c_4592,plain,
host(sK5) = host(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_4591,c_114]) ).
tcf(c_4602,plain,
! [X0: $i,X1: $i] :
( leq(index(pendack,host(sK2)),host(X1))
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1)))
| ( host(X0) != host(sK2) ) ),
inference(demodulation,[status(thm)],[c_3731,c_4592]) ).
tcf(c_4862,plain,
~ leq(index(pendack,host(sK2)),nbr_proc),
inference(light_normalisation,[status(thm)],[c_4480,c_4592]) ).
tcf(c_5402,plain,
! [X0: $i] :
( leq(index(pendack,host(sK2)),host(X0))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK2),queue(host(X0))) ),
inference(equality_resolution,[status(thm)],[c_4602]) ).
tcf(c_7469,plain,
( leq(index(pendack,host(sK2)),nbr_proc)
| ~ setIn(sK1,alive)
| ~ elem(m_Down(sK2),queue(host(sK1))) ),
inference(superposition,[status(thm)],[c_4419,c_5402]) ).
tcf(c_7473,plain,
( leq(index(pendack,host(sK2)),nbr_proc)
| ~ setIn(sK1,alive)
| ~ elem(m_Down(sK2),queue(nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_7469,c_4419]) ).
tcf(c_7474,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7473,c_4862,c_63,c_4474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV468+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 19:50:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.00/1.20 % SZS status Started for theBenchmark.p
% 2.00/1.20 % SZS status Theorem for theBenchmark.p
% 2.00/1.20
% 2.00/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.00/1.20
% 2.00/1.20 % ------ iProver source info
% 2.00/1.20
% 2.00/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 2.00/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.00/1.20 % git: non_committed_changes: false
% 2.00/1.20
% 2.00/1.20 % ------ Parsing...
% 2.00/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.00/1.20
% 2.00/1.20 % ------ Preprocessing... sup_sim: 5 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 %
% 2.00/1.20
% 2.00/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.00/1.20
% 2.00/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.00/1.20 % ------ Proving...
% 2.00/1.20 % ------ Problem Properties
% 2.00/1.20
% 2.00/1.20 %
% 2.00/1.20 % clauses 90
% 2.00/1.20 % conjectures 31
% 2.00/1.20 % EPR 16
% 2.00/1.20 % Horn 83
% 2.00/1.20 % unary 47
% 2.00/1.20 % binary 17
% 2.00/1.20 % lits 210
% 2.00/1.20 % lits eq 99
% 2.00/1.20 % fd_pure 0
% 2.00/1.20 % fd_pseudo 0
% 2.00/1.20 % fd_cond 1
% 2.00/1.20 % fd_pseudo_cond 12
% 2.00/1.20 % AC symbols 0
% 2.00/1.20
% 2.00/1.20 % ------ Schedule dynamic 5 is on
% 2.00/1.20
% 2.00/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.00/1.20
% 2.00/1.20
% 2.00/1.20 % ------
% 2.00/1.20 % Current options:
% 2.00/1.20 % ------
% 2.00/1.20
% 2.00/1.20
% 2.00/1.20 %
% 2.00/1.20
% 2.00/1.20 % ------ Proving...
% 2.00/1.20 %
% 2.00/1.20
% 2.00/1.20 % SZS status Theorem for theBenchmark.p
% 2.00/1.20
% 2.00/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.00/1.20
% 2.00/1.20
%------------------------------------------------------------------------------