TSTP Solution File: SWV474+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV474+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 22:37:41 EDT 2023
% Result : Theorem 7.58s 1.66s
% Output : CNFRefutation 7.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 139 ( 49 unt; 0 def)
% Number of atoms : 1099 ( 535 equ)
% Maximal formula atoms : 150 ( 7 avg)
% Number of connectives : 1594 ( 634 ~; 512 |; 376 &)
% ( 4 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% 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 : 460 ( 6 sgn; 334 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6,X14,X13] :
( ( host(X14) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( nbr_proc = host(X13)
=> ~ elem(m_NotNorm(X6),queue(host(X13))) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ~ ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X17,X18,X19] :
( host(X4) = host(X19)
=> ( ( elec_1 = index(status,host(X19))
& nbr_proc = host(X19)
& host(X19) = host(X17)
& elem(m_Down(X18),X11)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X19),X16) )
=> ( host(X18) = X16
| host(X5) = X16
| setIn(X16,index(down,host(X4))) ) ) )
=> ~ ( elem(m_Down(X17),queue(host(X6)))
& setIn(X6,alive) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6,X14,X13] :
( ( host(X14) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( nbr_proc = host(X13)
=> ~ elem(m_NotNorm(X6),queue(host(X13))) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ~ ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X17,X18,X19] :
( host(X4) = host(X19)
=> ( ( elec_1 = index(status,host(X19))
& nbr_proc = host(X19)
& host(X19) = host(X17)
& elem(m_Down(X18),X11)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X19),X16) )
=> ( host(X18) = X16
| host(X5) = X16
| setIn(X16,index(down,host(X4))) ) ) )
=> ~ ( elem(m_Down(X17),queue(host(X6)))
& setIn(X6,alive) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f70,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f71,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f105,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f119,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f124,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ( elec_1 = index(status,host(X7))
& host(X5) = host(X7)
& nbr_proc = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X7),X8) )
=> ( host(X6) = X8
| setIn(X8,index(down,host(X7))) ) ) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X9,X10,X11,X12] :
( ( host(X12) = host(X11)
& host(X9) = host(X10)
& setIn(X11,alive)
& setIn(X9,alive)
& host(X11) != host(X9) )
=> ~ ( setIn(host(X10),index(down,host(X11)))
& elem(m_Down(X12),queue(host(X9))) ) )
& ! [X13,X14,X15,X16] :
( ( host(X15) = host(X16)
& host(X13) = host(X14)
& setIn(X15,alive)
& setIn(X13,alive)
& host(X13) != host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X15)))
& elem(m_Down(X16),queue(host(X13))) ) )
& ! [X17,X18,X19] :
( ( host(X18) = host(index(elid,host(X19)))
& wait = index(status,host(X19))
& host(X19) = host(X17)
& setIn(X19,alive)
& host(X19) != host(X18) )
=> ~ elem(m_Down(X17),queue(host(X18))) )
& ! [X20,X21,X22] :
( ( host(X21) = index(ldr,host(X22))
& norm = index(status,host(X22))
& host(X22) = host(X20)
& setIn(X22,alive)
& host(X21) != host(X22) )
=> ~ elem(m_Down(X20),queue(host(X21))) )
& ! [X23] :
( ( setIn(X23,alive)
& ( elec_2 = index(status,host(X23))
| elec_1 = index(status,host(X23)) ) )
=> index(elid,host(X23)) = X23 )
& ! [X24,X25] :
( ( host(X24) = host(X25)
& X24 != X25 )
=> ( ~ setIn(X25,alive)
| ~ setIn(X24,alive) ) )
& ! [X26,X27] :
( nbr_proc = host(X27)
=> ~ elem(m_NotNorm(X26),queue(host(X27))) )
& ! [X28,X29] :
( elem(m_Down(X29),queue(host(X28)))
=> host(X28) != host(X29) )
& ! [X30,X31] :
( elem(m_Ldr(X31),queue(host(X30)))
=> ~ leq(host(X30),host(X31)) ) )
=> ( 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)) ) )
=> ( ~ ( elec_1 = index(status,host(X2))
& ! [X32] :
( ( leq(s(zero),X32)
& ~ leq(host(X2),X32) )
=> ( host(X3) = X32
| setIn(X32,index(down,host(X2))) ) ) )
=> ! [X33] :
( host(X2) != host(X33)
=> ! [X34,X35,X36] :
( host(X2) = host(X36)
=> ( ( elec_1 = index(status,host(X36))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elem(m_Down(X35),X0)
& ! [X37] :
( ( leq(s(zero),X37)
& ~ leq(host(X36),X37) )
=> ( host(X35) = X37
| host(X3) = X37
| setIn(X37,index(down,host(X2))) ) ) )
=> ~ ( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f140,plain,
? [X0,X2,X3] :
( ? [X33] :
( ? [X34,X35,X36] :
( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive)
& elec_1 = index(status,host(X36))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elem(m_Down(X35),X0)
& ! [X37] :
( host(X35) = X37
| host(X3) = X37
| setIn(X37,index(down,host(X2)))
| ~ leq(s(zero),X37)
| leq(host(X36),X37) )
& host(X2) = host(X36) )
& host(X2) != host(X33) )
& ( elec_1 != index(status,host(X2))
| ? [X32] :
( host(X3) != X32
& ~ setIn(X32,index(down,host(X2)))
& leq(s(zero),X32)
& ~ leq(host(X2),X32) ) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X4)))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != host(X7)
| nbr_proc != host(X7)
| ~ elem(m_Down(X6),queue(host(X7)))
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X17),queue(host(X18)))
| host(X18) != host(index(elid,host(X19)))
| wait != index(status,host(X19))
| host(X19) != host(X17)
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22] :
( ~ elem(m_Down(X20),queue(host(X21)))
| host(X21) != index(ldr,host(X22))
| norm != index(status,host(X22))
| host(X22) != host(X20)
| ~ setIn(X22,alive)
| host(X21) = host(X22) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ~ setIn(X23,alive)
| ( elec_2 != index(status,host(X23))
& elec_1 != index(status,host(X23)) ) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| X24 = X25 )
& ! [X26,X27] :
( ~ elem(m_NotNorm(X26),queue(host(X27)))
| nbr_proc != host(X27) )
& ! [X28,X29] :
( host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X28))) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
inference(ennf_transformation,[],[f124]) ).
fof(f141,plain,
? [X0,X2,X3] :
( ? [X33] :
( ? [X34,X35,X36] :
( elem(m_Down(X34),queue(host(X33)))
& setIn(X33,alive)
& elec_1 = index(status,host(X36))
& nbr_proc = host(X36)
& host(X36) = host(X34)
& elem(m_Down(X35),X0)
& ! [X37] :
( host(X35) = X37
| host(X3) = X37
| setIn(X37,index(down,host(X2)))
| ~ leq(s(zero),X37)
| leq(host(X36),X37) )
& host(X2) = host(X36) )
& host(X2) != host(X33) )
& ( elec_1 != index(status,host(X2))
| ? [X32] :
( host(X3) != X32
& ~ setIn(X32,index(down,host(X2)))
& leq(s(zero),X32)
& ~ leq(host(X2),X32) ) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X4)))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != host(X7)
| nbr_proc != host(X7)
| ~ elem(m_Down(X6),queue(host(X7)))
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X17),queue(host(X18)))
| host(X18) != host(index(elid,host(X19)))
| wait != index(status,host(X19))
| host(X19) != host(X17)
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22] :
( ~ elem(m_Down(X20),queue(host(X21)))
| host(X21) != index(ldr,host(X22))
| norm != index(status,host(X22))
| host(X22) != host(X20)
| ~ setIn(X22,alive)
| host(X21) = host(X22) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ~ setIn(X23,alive)
| ( elec_2 != index(status,host(X23))
& elec_1 != index(status,host(X23)) ) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| X24 = X25 )
& ! [X26,X27] :
( ~ elem(m_NotNorm(X26),queue(host(X27)))
| nbr_proc != host(X27) )
& ! [X28,X29] :
( host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X28))) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
inference(flattening,[],[f140]) ).
fof(f147,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,[],[f105]) ).
fof(f148,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,[],[f147]) ).
fof(f165,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f166,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f165]) ).
fof(f170,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5,X6] :
( elem(m_Down(X4),queue(host(X3)))
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),X0)
& ! [X7] :
( host(X5) = X7
| host(X2) = X7
| setIn(X7,index(down,host(X1)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X1) = host(X6) )
& host(X3) != host(X1) )
& ( elec_1 != index(status,host(X1))
| ? [X8] :
( host(X2) != X8
& ~ setIn(X8,index(down,host(X1)))
& leq(s(zero),X8)
& ~ leq(host(X1),X8) ) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
inference(rectify,[],[f141]) ).
fof(f171,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5,X6] :
( elem(m_Down(X4),queue(host(X3)))
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),X0)
& ! [X7] :
( host(X5) = X7
| host(X2) = X7
| setIn(X7,index(down,host(X1)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X1) = host(X6) )
& host(X3) != host(X1) )
& ( elec_1 != index(status,host(X1))
| ? [X8] :
( host(X2) != X8
& ~ setIn(X8,index(down,host(X1)))
& leq(s(zero),X8)
& ~ leq(host(X1),X8) ) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) )
=> ( ? [X3] :
( ? [X6,X5,X4] :
( elem(m_Down(X4),queue(host(X3)))
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),sK3)
& ! [X7] :
( host(X5) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) = host(sK4) )
& host(X3) != host(sK4) )
& ( elec_1 != index(status,host(sK4))
| ? [X8] :
( host(sK5) != X8
& ~ setIn(X8,index(down,host(sK4)))
& leq(s(zero),X8)
& ~ leq(host(sK4),X8) ) )
& ( host(sK5) != host(index(elid,host(sK4)))
| wait != index(status,host(sK4)) )
& ( norm != index(status,host(sK4))
| host(sK5) != index(ldr,host(sK4)) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK3)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X3] :
( ? [X6,X5,X4] :
( elem(m_Down(X4),queue(host(X3)))
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),sK3)
& ! [X7] :
( host(X5) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) = host(sK4) )
& host(X3) != host(sK4) )
=> ( ? [X6,X5,X4] :
( elem(m_Down(X4),queue(host(sK6)))
& setIn(sK6,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),sK3)
& ! [X7] :
( host(X5) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) = host(sK4) )
& host(sK4) != host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X6,X5,X4] :
( elem(m_Down(X4),queue(host(sK6)))
& setIn(sK6,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),sK3)
& ! [X7] :
( host(X5) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) = host(sK4) )
=> ( elem(m_Down(sK7),queue(host(sK6)))
& setIn(sK6,alive)
& elec_1 = index(status,host(sK9))
& nbr_proc = host(sK9)
& host(sK9) = host(sK7)
& elem(m_Down(sK8),sK3)
& ! [X7] :
( host(sK8) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4)))
| ~ leq(s(zero),X7)
| leq(host(sK9),X7) )
& host(sK4) = host(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ? [X8] :
( host(sK5) != X8
& ~ setIn(X8,index(down,host(sK4)))
& leq(s(zero),X8)
& ~ leq(host(sK4),X8) )
=> ( host(sK5) != sK10
& ~ setIn(sK10,index(down,host(sK4)))
& leq(s(zero),sK10)
& ~ leq(host(sK4),sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X11,X12] :
( ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) != sK11(X11,X12)
& ~ setIn(sK11(X11,X12),index(down,host(X12)))
& leq(s(zero),sK11(X11,X12))
& ~ leq(host(X12),sK11(X11,X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( elem(m_Down(sK7),queue(host(sK6)))
& setIn(sK6,alive)
& elec_1 = index(status,host(sK9))
& nbr_proc = host(sK9)
& host(sK9) = host(sK7)
& elem(m_Down(sK8),sK3)
& ! [X7] :
( host(sK8) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4)))
| ~ leq(s(zero),X7)
| leq(host(sK9),X7) )
& host(sK4) = host(sK9)
& host(sK4) != host(sK6)
& ( elec_1 != index(status,host(sK4))
| ( host(sK5) != sK10
& ~ setIn(sK10,index(down,host(sK4)))
& leq(s(zero),sK10)
& ~ leq(host(sK4),sK10) ) )
& ( host(sK5) != host(index(elid,host(sK4)))
| wait != index(status,host(sK4)) )
& ( norm != index(status,host(sK4))
| host(sK5) != index(ldr,host(sK4)) )
& ~ leq(host(sK4),host(sK5))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Down(sK5),sK3)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ( host(X11) != sK11(X11,X12)
& ~ setIn(sK11(X11,X12),index(down,host(X12)))
& leq(s(zero),sK11(X11,X12))
& ~ leq(host(X12),sK11(X11,X12)) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f170,f175,f174,f173,f172,f171]) ).
fof(f180,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f182,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f71]) ).
fof(f230,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f231,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f263,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f274,plain,
! [X34,X33] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) ),
inference(cnf_transformation,[],[f176]) ).
fof(f281,plain,
! [X21,X18,X19,X20] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) ),
inference(cnf_transformation,[],[f176]) ).
fof(f282,plain,
! [X16,X14,X17,X15] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) ),
inference(cnf_transformation,[],[f176]) ).
fof(f287,plain,
queue(host(sK4)) = cons(m_Down(sK5),sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f288,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f176]) ).
fof(f292,plain,
( elec_1 != index(status,host(sK4))
| ~ leq(host(sK4),sK10) ),
inference(cnf_transformation,[],[f176]) ).
fof(f293,plain,
( elec_1 != index(status,host(sK4))
| leq(s(zero),sK10) ),
inference(cnf_transformation,[],[f176]) ).
fof(f294,plain,
( elec_1 != index(status,host(sK4))
| ~ setIn(sK10,index(down,host(sK4))) ),
inference(cnf_transformation,[],[f176]) ).
fof(f295,plain,
( elec_1 != index(status,host(sK4))
| host(sK5) != sK10 ),
inference(cnf_transformation,[],[f176]) ).
fof(f296,plain,
host(sK4) != host(sK6),
inference(cnf_transformation,[],[f176]) ).
fof(f297,plain,
host(sK4) = host(sK9),
inference(cnf_transformation,[],[f176]) ).
fof(f298,plain,
! [X7] :
( host(sK8) = X7
| host(sK5) = X7
| setIn(X7,index(down,host(sK4)))
| ~ leq(s(zero),X7)
| leq(host(sK9),X7) ),
inference(cnf_transformation,[],[f176]) ).
fof(f299,plain,
elem(m_Down(sK8),sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f300,plain,
host(sK9) = host(sK7),
inference(cnf_transformation,[],[f176]) ).
fof(f301,plain,
nbr_proc = host(sK9),
inference(cnf_transformation,[],[f176]) ).
fof(f302,plain,
elec_1 = index(status,host(sK9)),
inference(cnf_transformation,[],[f176]) ).
fof(f303,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f176]) ).
fof(f304,plain,
elem(m_Down(sK7),queue(host(sK6))),
inference(cnf_transformation,[],[f176]) ).
fof(f311,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f230]) ).
cnf(c_52,plain,
leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f180]) ).
cnf(c_54,plain,
leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f182]) ).
cnf(c_95,plain,
( ~ elem(X0,X1)
| elem(X0,cons(X2,X1)) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_96,plain,
elem(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f311]) ).
cnf(c_131,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_139,negated_conjecture,
elem(m_Down(sK7),queue(host(sK6))),
inference(cnf_transformation,[],[f304]) ).
cnf(c_140,negated_conjecture,
setIn(sK6,alive),
inference(cnf_transformation,[],[f303]) ).
cnf(c_141,negated_conjecture,
index(status,host(sK9)) = elec_1,
inference(cnf_transformation,[],[f302]) ).
cnf(c_142,negated_conjecture,
host(sK9) = nbr_proc,
inference(cnf_transformation,[],[f301]) ).
cnf(c_143,negated_conjecture,
host(sK7) = host(sK9),
inference(cnf_transformation,[],[f300]) ).
cnf(c_144,negated_conjecture,
elem(m_Down(sK8),sK3),
inference(cnf_transformation,[],[f299]) ).
cnf(c_145,negated_conjecture,
( ~ leq(s(zero),X0)
| host(sK8) = X0
| host(sK5) = X0
| setIn(X0,index(down,host(sK4)))
| leq(host(sK9),X0) ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_146,negated_conjecture,
host(sK9) = host(sK4),
inference(cnf_transformation,[],[f297]) ).
cnf(c_147,negated_conjecture,
host(sK6) != host(sK4),
inference(cnf_transformation,[],[f296]) ).
cnf(c_148,negated_conjecture,
( index(status,host(sK4)) != elec_1
| host(sK5) != sK10 ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_149,negated_conjecture,
( index(status,host(sK4)) != elec_1
| ~ setIn(sK10,index(down,host(sK4))) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_150,negated_conjecture,
( index(status,host(sK4)) != elec_1
| leq(s(zero),sK10) ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_151,negated_conjecture,
( index(status,host(sK4)) != elec_1
| ~ leq(host(sK4),sK10) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_155,negated_conjecture,
setIn(sK4,alive),
inference(cnf_transformation,[],[f288]) ).
cnf(c_156,negated_conjecture,
cons(m_Down(sK5),sK3) = queue(host(sK4)),
inference(cnf_transformation,[],[f287]) ).
cnf(c_161,negated_conjecture,
( host(X0) != host(X1)
| host(X2) != host(X3)
| ~ setIn(host(X3),index(down,host(X1)))
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| host(X1) = host(X2) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_162,negated_conjecture,
( host(X0) != host(X1)
| host(X2) != host(X3)
| ~ elem(m_Down(X0),queue(host(X3)))
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(X3,alive)
| host(X1) = host(X3) ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_169,negated_conjecture,
( host(X0) != host(X1)
| ~ elem(m_Down(X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_301,plain,
( host(sK5) != sK10
| index(status,host(sK4)) != elec_1 ),
inference(prop_impl_just,[status(thm)],[c_148]) ).
cnf(c_302,plain,
( index(status,host(sK4)) != elec_1
| host(sK5) != sK10 ),
inference(renaming,[status(thm)],[c_301]) ).
cnf(c_305,plain,
( index(status,host(sK4)) != elec_1
| ~ setIn(sK10,index(down,host(sK4))) ),
inference(prop_impl_just,[status(thm)],[c_149]) ).
cnf(c_307,plain,
( index(status,host(sK4)) != elec_1
| leq(s(zero),sK10) ),
inference(prop_impl_just,[status(thm)],[c_150]) ).
cnf(c_309,plain,
( index(status,host(sK4)) != elec_1
| ~ leq(host(sK4),sK10) ),
inference(prop_impl_just,[status(thm)],[c_151]) ).
cnf(c_1044,plain,
host(sK4) = nbr_proc,
inference(light_normalisation,[status(thm)],[c_146,c_142]) ).
cnf(c_1046,plain,
host(sK7) = nbr_proc,
inference(light_normalisation,[status(thm)],[c_143,c_142]) ).
cnf(c_1049,plain,
host(sK6) != nbr_proc,
inference(light_normalisation,[status(thm)],[c_147,c_1044]) ).
cnf(c_1050,plain,
index(status,nbr_proc) = elec_1,
inference(light_normalisation,[status(thm)],[c_141,c_142]) ).
cnf(c_1068,plain,
cons(m_Down(sK5),sK3) = queue(nbr_proc),
inference(light_normalisation,[status(thm)],[c_156,c_1044]) ).
cnf(c_1147,plain,
( elec_1 != elec_1
| leq(s(zero),sK10) ),
inference(light_normalisation,[status(thm)],[c_307,c_1044,c_1050]) ).
cnf(c_1148,plain,
leq(s(zero),sK10),
inference(equality_resolution_simp,[status(thm)],[c_1147]) ).
cnf(c_1183,plain,
( elec_1 != elec_1
| ~ leq(nbr_proc,sK10) ),
inference(light_normalisation,[status(thm)],[c_309,c_1044,c_1050]) ).
cnf(c_1184,plain,
~ leq(nbr_proc,sK10),
inference(equality_resolution_simp,[status(thm)],[c_1183]) ).
cnf(c_1215,plain,
( host(sK5) != sK10
| elec_1 != elec_1 ),
inference(light_normalisation,[status(thm)],[c_302,c_1044,c_1050]) ).
cnf(c_1216,plain,
host(sK5) != sK10,
inference(equality_resolution_simp,[status(thm)],[c_1215]) ).
cnf(c_1217,plain,
( elec_1 != elec_1
| ~ setIn(sK10,index(down,nbr_proc)) ),
inference(light_normalisation,[status(thm)],[c_305,c_1044,c_1050]) ).
cnf(c_1218,plain,
~ setIn(sK10,index(down,nbr_proc)),
inference(equality_resolution_simp,[status(thm)],[c_1217]) ).
cnf(c_1283,plain,
( ~ leq(s(zero),X0)
| host(sK8) = X0
| host(sK5) = X0
| setIn(X0,index(down,nbr_proc))
| leq(nbr_proc,X0) ),
inference(light_normalisation,[status(thm)],[c_145,c_142,c_1044]) ).
cnf(c_4566,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(host(sK4)))
| ~ setIn(X2,alive)
| ~ setIn(sK4,alive)
| host(X2) = host(sK4) ),
inference(superposition,[status(thm)],[c_1044,c_162]) ).
cnf(c_4574,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(X2,alive)
| ~ setIn(sK4,alive)
| host(X2) = nbr_proc ),
inference(light_normalisation,[status(thm)],[c_4566,c_1044]) ).
cnf(c_4575,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(X2,alive)
| host(X2) = nbr_proc ),
inference(forward_subsumption_resolution,[status(thm)],[c_4574,c_155]) ).
cnf(c_4645,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ setIn(host(X2),index(down,host(sK4)))
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(sK4,alive)
| host(X1) = host(sK4) ),
inference(superposition,[status(thm)],[c_1044,c_161]) ).
cnf(c_4653,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(host(X2),index(down,nbr_proc))
| ~ setIn(X1,alive)
| ~ setIn(sK4,alive)
| host(X1) = nbr_proc ),
inference(light_normalisation,[status(thm)],[c_4645,c_1044]) ).
cnf(c_4654,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(host(X2),index(down,nbr_proc))
| ~ setIn(X1,alive)
| host(X1) = nbr_proc ),
inference(forward_subsumption_resolution,[status(thm)],[c_4653,c_155]) ).
cnf(c_4720,plain,
( host(X0) != nbr_proc
| ~ elem(m_Down(sK7),queue(host(X0))) ),
inference(superposition,[status(thm)],[c_1046,c_169]) ).
cnf(c_4724,plain,
( host(X0) != host(X1)
| host(X2) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| host(X1) = host(X2) ),
inference(superposition,[status(thm)],[c_1046,c_162]) ).
cnf(c_4889,plain,
elem(m_Down(sK5),queue(nbr_proc)),
inference(superposition,[status(thm)],[c_1068,c_96]) ).
cnf(c_5003,plain,
( ~ leq(s(zero),sK10)
| host(sK8) = sK10
| host(sK5) = sK10
| leq(nbr_proc,sK10) ),
inference(superposition,[status(thm)],[c_1283,c_1218]) ).
cnf(c_5004,plain,
host(sK8) = sK10,
inference(forward_subsumption_resolution,[status(thm)],[c_5003,c_1184,c_1216,c_1148]) ).
cnf(c_5005,plain,
( ~ leq(s(zero),X0)
| host(sK5) = X0
| X0 = sK10
| setIn(X0,index(down,nbr_proc))
| leq(nbr_proc,X0) ),
inference(demodulation,[status(thm)],[c_1283,c_5004]) ).
cnf(c_5322,plain,
( host(X0) != nbr_proc
| host(X1) != sK10
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ setIn(X1,alive)
| host(X1) = nbr_proc ),
inference(superposition,[status(thm)],[c_5004,c_4575]) ).
cnf(c_5441,plain,
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(host(X1),index(down,nbr_proc))
| ~ setIn(X1,alive)
| host(X1) = nbr_proc ),
inference(equality_resolution,[status(thm)],[c_4654]) ).
cnf(c_8561,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(host(sK4)))
| ~ setIn(X2,alive)
| ~ setIn(sK4,alive)
| host(X2) = host(sK4) ),
inference(superposition,[status(thm)],[c_1044,c_162]) ).
cnf(c_8569,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(X2,alive)
| ~ setIn(sK4,alive)
| host(X2) = nbr_proc ),
inference(light_normalisation,[status(thm)],[c_8561,c_1044]) ).
cnf(c_8570,plain,
( host(X0) != nbr_proc
| host(X1) != host(X2)
| ~ elem(m_Down(X0),queue(host(X2)))
| ~ elem(m_Down(X1),queue(nbr_proc))
| ~ setIn(X2,alive)
| host(X2) = nbr_proc ),
inference(forward_subsumption_resolution,[status(thm)],[c_8569,c_155]) ).
cnf(c_9535,plain,
( ~ setIn(host(X0),index(down,nbr_proc))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = nbr_proc ),
inference(superposition,[status(thm)],[c_1046,c_5441]) ).
cnf(c_9568,plain,
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(host(X0),index(down,nbr_proc)) ),
inference(global_subsumption_just,[status(thm)],[c_9535,c_4720,c_9535]) ).
cnf(c_9569,plain,
( ~ setIn(host(X0),index(down,nbr_proc))
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ setIn(X0,alive) ),
inference(renaming,[status(thm)],[c_9568]) ).
cnf(c_9577,plain,
( ~ setIn(host(sK6),index(down,nbr_proc))
| ~ setIn(sK6,alive) ),
inference(superposition,[status(thm)],[c_139,c_9569]) ).
cnf(c_9582,plain,
~ setIn(host(sK6),index(down,nbr_proc)),
inference(forward_subsumption_resolution,[status(thm)],[c_9577,c_140]) ).
cnf(c_9584,plain,
( ~ leq(s(zero),host(sK6))
| host(sK6) = host(sK5)
| host(sK6) = sK10
| leq(nbr_proc,host(sK6)) ),
inference(superposition,[status(thm)],[c_5005,c_9582]) ).
cnf(c_9585,plain,
( host(sK6) = host(sK5)
| host(sK6) = sK10
| leq(nbr_proc,host(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9584,c_52]) ).
cnf(c_9612,plain,
( host(X0) != sK10
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ setIn(X0,alive)
| host(X0) = nbr_proc ),
inference(superposition,[status(thm)],[c_1046,c_5322]) ).
cnf(c_9633,plain,
( ~ setIn(X0,alive)
| ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ elem(m_Down(sK7),queue(host(X0)))
| host(X0) != sK10 ),
inference(global_subsumption_just,[status(thm)],[c_9612,c_4720,c_9612]) ).
cnf(c_9634,plain,
( host(X0) != sK10
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ setIn(X0,alive) ),
inference(renaming,[status(thm)],[c_9633]) ).
cnf(c_10311,plain,
( ~ leq(host(sK6),nbr_proc)
| ~ leq(nbr_proc,host(sK6))
| host(sK6) = nbr_proc ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_10598,plain,
( ~ leq(s(zero),sK10)
| host(sK8) = sK10
| host(sK5) = sK10
| leq(nbr_proc,sK10) ),
inference(superposition,[status(thm)],[c_1283,c_1218]) ).
cnf(c_10599,plain,
host(sK8) = sK10,
inference(forward_subsumption_resolution,[status(thm)],[c_10598,c_1184,c_1216,c_1148]) ).
cnf(c_12137,plain,
( host(X0) != nbr_proc
| host(X1) != sK10
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ setIn(X1,alive)
| host(X1) = nbr_proc ),
inference(superposition,[status(thm)],[c_10599,c_8570]) ).
cnf(c_15888,plain,
( ~ elem(X0,sK3)
| elem(X0,queue(nbr_proc)) ),
inference(superposition,[status(thm)],[c_1068,c_95]) ).
cnf(c_16429,plain,
leq(host(sK6),nbr_proc),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_16667,plain,
( host(sK6) = sK10
| host(sK6) = host(sK5) ),
inference(global_subsumption_just,[status(thm)],[c_9585,c_1049,c_9585,c_10311,c_16429]) ).
cnf(c_16668,plain,
( host(sK6) = host(sK5)
| host(sK6) = sK10 ),
inference(renaming,[status(thm)],[c_16667]) ).
cnf(c_16696,plain,
( host(X0) != host(sK5)
| host(X1) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(sK7),queue(host(sK6)))
| ~ setIn(X1,alive)
| ~ setIn(sK6,alive)
| host(X1) = host(sK6)
| host(sK6) = sK10 ),
inference(superposition,[status(thm)],[c_16668,c_4724]) ).
cnf(c_17258,plain,
( host(X0) != host(sK5)
| host(X1) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive)
| host(X1) = host(sK6)
| host(sK6) = sK10 ),
inference(forward_subsumption_resolution,[status(thm)],[c_16696,c_140,c_139]) ).
cnf(c_20740,plain,
( host(X0) != nbr_proc
| ~ elem(m_Down(sK5),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK6)
| host(sK6) = sK10 ),
inference(equality_resolution,[status(thm)],[c_17258]) ).
cnf(c_24394,plain,
( host(X0) != sK10
| ~ elem(m_Down(sK7),queue(host(X0)))
| ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ setIn(X0,alive)
| host(X0) = nbr_proc ),
inference(superposition,[status(thm)],[c_1046,c_12137]) ).
cnf(c_24561,plain,
( ~ elem(m_Down(sK5),queue(host(sK4)))
| ~ setIn(sK4,alive)
| host(sK6) = host(sK4)
| host(sK6) = sK10 ),
inference(superposition,[status(thm)],[c_1044,c_20740]) ).
cnf(c_24562,plain,
( ~ elem(m_Down(sK5),queue(nbr_proc))
| ~ setIn(sK4,alive)
| host(sK6) = nbr_proc
| host(sK6) = sK10 ),
inference(light_normalisation,[status(thm)],[c_24561,c_1044]) ).
cnf(c_24563,plain,
host(sK6) = sK10,
inference(forward_subsumption_resolution,[status(thm)],[c_24562,c_1049,c_155,c_4889]) ).
cnf(c_24571,plain,
elem(m_Down(sK7),queue(sK10)),
inference(demodulation,[status(thm)],[c_139,c_24563]) ).
cnf(c_24669,plain,
( ~ elem(m_Down(sK7),queue(host(sK6)))
| ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ setIn(sK6,alive) ),
inference(superposition,[status(thm)],[c_24563,c_9634]) ).
cnf(c_24762,plain,
( ~ elem(m_Down(sK7),queue(sK10))
| ~ elem(m_Down(sK8),queue(nbr_proc))
| ~ setIn(sK6,alive) ),
inference(light_normalisation,[status(thm)],[c_24669,c_24563]) ).
cnf(c_24763,plain,
( ~ elem(m_Down(sK7),queue(sK10))
| ~ elem(m_Down(sK8),queue(nbr_proc)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24762,c_140]) ).
cnf(c_25380,plain,
~ elem(m_Down(sK8),queue(nbr_proc)),
inference(global_subsumption_just,[status(thm)],[c_24394,c_24571,c_24763]) ).
cnf(c_25382,plain,
~ elem(m_Down(sK8),sK3),
inference(superposition,[status(thm)],[c_15888,c_25380]) ).
cnf(c_25383,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_25382,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV474+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 06:20:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.58/1.66 % SZS status Started for theBenchmark.p
% 7.58/1.66 % SZS status Theorem for theBenchmark.p
% 7.58/1.66
% 7.58/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.58/1.66
% 7.58/1.66 ------ iProver source info
% 7.58/1.66
% 7.58/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.58/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.58/1.66 git: non_committed_changes: false
% 7.58/1.66 git: last_make_outside_of_git: false
% 7.58/1.66
% 7.58/1.66 ------ Parsing...
% 7.58/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.58/1.66
% 7.58/1.66 ------ Preprocessing... sup_sim: 15 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
% 7.58/1.66
% 7.58/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.58/1.66
% 7.58/1.66 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.58/1.66 ------ Proving...
% 7.58/1.66 ------ Problem Properties
% 7.58/1.66
% 7.58/1.66
% 7.58/1.66 clauses 116
% 7.58/1.66 conjectures 19
% 7.58/1.66 EPR 17
% 7.58/1.66 Horn 100
% 7.58/1.66 unary 60
% 7.58/1.66 binary 25
% 7.58/1.66 lits 243
% 7.58/1.66 lits eq 106
% 7.58/1.66 fd_pure 0
% 7.58/1.66 fd_pseudo 0
% 7.58/1.66 fd_cond 1
% 7.58/1.66 fd_pseudo_cond 12
% 7.58/1.66 AC symbols 0
% 7.58/1.66
% 7.58/1.66 ------ Schedule dynamic 5 is on
% 7.58/1.66
% 7.58/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.58/1.66
% 7.58/1.66
% 7.58/1.66 ------
% 7.58/1.66 Current options:
% 7.58/1.66 ------
% 7.58/1.66
% 7.58/1.66
% 7.58/1.66
% 7.58/1.66
% 7.58/1.66 ------ Proving...
% 7.58/1.66
% 7.58/1.66
% 7.58/1.66 % SZS status Theorem for theBenchmark.p
% 7.58/1.66
% 7.58/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.58/1.66
% 7.58/1.66
%------------------------------------------------------------------------------