TSTP Solution File: SWV473+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n021.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 23:25:00 EDT 2023
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 29
% Syntax : Number of formulae : 164 ( 47 unt; 0 def)
% Number of atoms : 1078 ( 470 equ)
% Maximal formula atoms : 134 ( 6 avg)
% Number of connectives : 1563 ( 649 ~; 524 |; 322 &)
% ( 10 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 35 con; 0-2 aty)
% Number of variables : 477 (; 425 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2127,plain,
$false,
inference(unit_resulting_resolution,[],[f1844,f344,f2126]) ).
fof(f2126,plain,
! [X0] :
( ~ elem(X0,sK0)
| elem(X0,sF37) ),
inference(forward_demodulation,[],[f2125,f359]) ).
fof(f359,plain,
sF37 = sF39,
inference(definition_folding,[],[f190,f358,f357,f356,f348]) ).
fof(f348,plain,
host(sK2) = sF32,
introduced(function_definition,[]) ).
fof(f356,plain,
queue(sF32) = sF37,
introduced(function_definition,[]) ).
fof(f357,plain,
m_Ack(sK1,sK3) = sF38,
introduced(function_definition,[]) ).
fof(f358,plain,
cons(sF38,sK0) = sF39,
introduced(function_definition,[]) ).
fof(f190,plain,
queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( elem(m_Down(sK5),queue(host(sK4)))
& setIn(sK4,alive)
& elec_1 = index(status,host(sK7))
& nbr_proc = host(sK7)
& host(sK7) = host(sK5)
& elem(m_Down(sK6),sK0)
& ! [X8] :
( host(sK6) = X8
| setIn(X8,index(down,host(sK7)))
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) )
& host(sK2) = host(sK7)
& host(sK2) != host(sK4)
& ( host(sK3) != index(pendack,host(sK2))
| elec_2 != index(status,host(sK2))
| sK1 != index(elid,host(sK2)) )
& setIn(sK2,alive)
& queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
& ! [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) != sK8(X11,X12)
& ~ setIn(sK8(X11,X12),index(down,host(X12)))
& leq(s(zero),sK8(X11,X12))
& ~ leq(host(X12),sK8(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,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f142,f146,f145,f144,f143]) ).
fof(f143,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),X0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X2) = host(X7) )
& host(X2) != host(X4) )
& ( host(X3) != index(pendack,host(X2))
| elec_2 != index(status,host(X2))
| index(elid,host(X2)) != X1 )
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),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))) ) )
=> ( ? [X4] :
( ? [X7,X6,X5] :
( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),sK0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) = host(sK2) )
& host(X4) != host(sK2) )
& ( host(sK3) != index(pendack,host(sK2))
| elec_2 != index(status,host(sK2))
| sK1 != index(elid,host(sK2)) )
& setIn(sK2,alive)
& queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
& ! [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(f144,plain,
( ? [X4] :
( ? [X7,X6,X5] :
( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),sK0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) = host(sK2) )
& host(X4) != host(sK2) )
=> ( ? [X7,X6,X5] :
( elem(m_Down(X5),queue(host(sK4)))
& setIn(sK4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),sK0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) = host(sK2) )
& host(sK2) != host(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X7,X6,X5] :
( elem(m_Down(X5),queue(host(sK4)))
& setIn(sK4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),sK0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) = host(sK2) )
=> ( elem(m_Down(sK5),queue(host(sK4)))
& setIn(sK4,alive)
& elec_1 = index(status,host(sK7))
& nbr_proc = host(sK7)
& host(sK7) = host(sK5)
& elem(m_Down(sK6),sK0)
& ! [X8] :
( host(sK6) = X8
| setIn(X8,index(down,host(sK7)))
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) )
& host(sK2) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X11,X12] :
( ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) != sK8(X11,X12)
& ~ setIn(sK8(X11,X12),index(down,host(X12)))
& leq(s(zero),sK8(X11,X12))
& ~ leq(host(X12),sK8(X11,X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),X0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X2) = host(X7) )
& host(X2) != host(X4) )
& ( host(X3) != index(pendack,host(X2))
| elec_2 != index(status,host(X2))
| index(elid,host(X2)) != X1 )
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),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,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X32] :
( ? [X33,X34,X35] :
( elem(m_Down(X33),queue(host(X32)))
& setIn(X32,alive)
& elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),X0)
& ! [X36] :
( host(X34) = X36
| setIn(X36,index(down,host(X35)))
| ~ leq(s(zero),X36)
| leq(host(X35),X36) )
& host(X2) = host(X35) )
& host(X2) != host(X32) )
& ( host(X3) != index(pendack,host(X2))
| elec_2 != index(status,host(X2))
| index(elid,host(X2)) != X1 )
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,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,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X32] :
( ? [X33,X34,X35] :
( elem(m_Down(X33),queue(host(X32)))
& setIn(X32,alive)
& elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),X0)
& ! [X36] :
( host(X34) = X36
| setIn(X36,index(down,host(X35)))
| ~ leq(s(zero),X36)
| leq(host(X35),X36) )
& host(X2) = host(X35) )
& host(X2) != host(X32) )
& ( host(X3) != index(pendack,host(X2))
| elec_2 != index(status,host(X2))
| index(elid,host(X2)) != X1 )
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,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,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,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)
=> ( ~ ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ! [X32] :
( host(X2) != host(X32)
=> ! [X33,X34,X35] :
( host(X2) = host(X35)
=> ( ( elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),X0)
& ! [X36] :
( ( leq(s(zero),X36)
& ~ leq(host(X35),X36) )
=> ( host(X34) = X36
| setIn(X36,index(down,host(X35))) ) ) )
=> ~ ( elem(m_Down(X33),queue(host(X32)))
& setIn(X32,alive) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,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)
=> ( ~ ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ! [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
| setIn(X16,index(down,host(X19))) ) ) )
=> ~ ( elem(m_Down(X17),queue(host(X6)))
& setIn(X6,alive) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,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)
=> ( ~ ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ! [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
| setIn(X16,index(down,host(X19))) ) ) )
=> ~ ( elem(m_Down(X17),queue(host(X6)))
& setIn(X6,alive) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.V3Tt0uYq45/Vampire---4.8_18689',conj) ).
fof(f2125,plain,
! [X0] :
( elem(X0,sF39)
| ~ elem(X0,sK0) ),
inference(superposition,[],[f295,f358]) ).
fof(f295,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,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,[],[f174]) ).
fof(f174,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,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/tmp/tmp.V3Tt0uYq45/Vampire---4.8_18689',axiom_46) ).
fof(f344,plain,
elem(sF29,sK0),
inference(definition_folding,[],[f196,f343]) ).
fof(f343,plain,
m_Down(sK6) = sF29,
introduced(function_definition,[]) ).
fof(f196,plain,
elem(m_Down(sK6),sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f1844,plain,
~ elem(sF29,sF37),
inference(subsumption_resolution,[],[f1808,f1835]) ).
fof(f1835,plain,
~ sP18(sK2),
inference(subsumption_resolution,[],[f1834,f403]) ).
fof(f403,plain,
sP19(sK5),
inference(subsumption_resolution,[],[f402,f336]) ).
fof(f336,plain,
elem(sF23,sF25),
inference(definition_folding,[],[f201,f335,f334,f333]) ).
fof(f333,plain,
m_Down(sK5) = sF23,
introduced(function_definition,[]) ).
fof(f334,plain,
host(sK4) = sF24,
introduced(function_definition,[]) ).
fof(f335,plain,
queue(sF24) = sF25,
introduced(function_definition,[]) ).
fof(f201,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(cnf_transformation,[],[f147]) ).
fof(f402,plain,
( ~ elem(sF23,sF25)
| sP19(sK5) ),
inference(forward_demodulation,[],[f401,f335]) ).
fof(f401,plain,
( ~ elem(sF23,queue(sF24))
| sP19(sK5) ),
inference(subsumption_resolution,[],[f389,f200]) ).
fof(f200,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f147]) ).
fof(f389,plain,
( ~ elem(sF23,queue(sF24))
| ~ setIn(sK4,alive)
| sP19(sK5) ),
inference(superposition,[],[f371,f334]) ).
fof(f371,plain,
! [X0] :
( ~ elem(sF23,queue(host(X0)))
| ~ setIn(X0,alive)
| sP19(sK5) ),
inference(superposition,[],[f325,f333]) ).
fof(f325,plain,
! [X10,X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| sP19(X10) ),
inference(cnf_transformation,[],[f325_D]) ).
fof(f325_D,plain,
! [X10] :
( ! [X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive) )
<=> ~ sP19(X10) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1834,plain,
( ~ sP18(sK2)
| ~ sP19(sK5) ),
inference(subsumption_resolution,[],[f1830,f360]) ).
fof(f360,plain,
nbr_proc = sF28,
inference(forward_demodulation,[],[f342,f340]) ).
fof(f340,plain,
nbr_proc = sF26,
inference(definition_folding,[],[f198,f337]) ).
fof(f337,plain,
host(sK7) = sF26,
introduced(function_definition,[]) ).
fof(f198,plain,
nbr_proc = host(sK7),
inference(cnf_transformation,[],[f147]) ).
fof(f342,plain,
sF26 = sF28,
inference(definition_folding,[],[f197,f341,f337]) ).
fof(f341,plain,
host(sK5) = sF28,
introduced(function_definition,[]) ).
fof(f197,plain,
host(sK7) = host(sK5),
inference(cnf_transformation,[],[f147]) ).
fof(f1830,plain,
( nbr_proc != sF28
| ~ sP18(sK2)
| ~ sP19(sK5) ),
inference(superposition,[],[f1818,f341]) ).
fof(f1818,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ sP18(sK2)
| ~ sP19(X0) ),
inference(forward_demodulation,[],[f1817,f362]) ).
fof(f362,plain,
nbr_proc = sF32,
inference(forward_demodulation,[],[f349,f340]) ).
fof(f349,plain,
sF26 = sF32,
inference(definition_folding,[],[f194,f337,f348]) ).
fof(f194,plain,
host(sK2) = host(sK7),
inference(cnf_transformation,[],[f147]) ).
fof(f1817,plain,
! [X0] :
( host(X0) != sF32
| ~ sP18(sK2)
| ~ sP19(X0) ),
inference(subsumption_resolution,[],[f1816,f1469]) ).
fof(f1469,plain,
elec_1 = sF35,
inference(forward_demodulation,[],[f1468,f1462]) ).
fof(f1462,plain,
elec_1 = index(status,nbr_proc),
inference(forward_demodulation,[],[f1461,f339]) ).
fof(f339,plain,
elec_1 = sF27,
inference(definition_folding,[],[f199,f338,f337]) ).
fof(f338,plain,
index(status,sF26) = sF27,
introduced(function_definition,[]) ).
fof(f199,plain,
elec_1 = index(status,host(sK7)),
inference(cnf_transformation,[],[f147]) ).
fof(f1461,plain,
sF27 = index(status,nbr_proc),
inference(superposition,[],[f338,f340]) ).
fof(f1468,plain,
sF35 = index(status,nbr_proc),
inference(superposition,[],[f353,f362]) ).
fof(f353,plain,
index(status,sF32) = sF35,
introduced(function_definition,[]) ).
fof(f1816,plain,
! [X0] :
( elec_1 != sF35
| host(X0) != sF32
| ~ sP18(sK2)
| ~ sP19(X0) ),
inference(forward_demodulation,[],[f1815,f353]) ).
fof(f1815,plain,
! [X0] :
( elec_1 != index(status,sF32)
| host(X0) != sF32
| ~ sP18(sK2)
| ~ sP19(X0) ),
inference(subsumption_resolution,[],[f1809,f362]) ).
fof(f1809,plain,
! [X0] :
( elec_1 != index(status,sF32)
| host(X0) != sF32
| nbr_proc != sF32
| ~ sP18(sK2)
| ~ sP19(X0) ),
inference(superposition,[],[f326,f348]) ).
fof(f326,plain,
! [X10,X12] :
( elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ sP18(X12)
| ~ sP19(X10) ),
inference(general_splitting,[],[f324,f325_D]) ).
fof(f324,plain,
! [X10,X9,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)
| ~ sP18(X12) ),
inference(general_splitting,[],[f186,f323_D]) ).
fof(f323,plain,
! [X11,X12] :
( ~ leq(host(X12),sK8(X11,X12))
| ~ elem(m_Down(X11),queue(host(X12)))
| sP18(X12) ),
inference(cnf_transformation,[],[f323_D]) ).
fof(f323_D,plain,
! [X12] :
( ! [X11] :
( ~ leq(host(X12),sK8(X11,X12))
| ~ elem(m_Down(X11),queue(host(X12))) )
<=> ~ sP18(X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).
fof(f186,plain,
! [X10,X11,X9,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)))
| ~ leq(host(X12),sK8(X11,X12)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1808,plain,
( ~ elem(sF29,sF37)
| sP18(sK2) ),
inference(forward_demodulation,[],[f1805,f343]) ).
fof(f1805,plain,
( ~ elem(m_Down(sK6),sF37)
| sP18(sK2) ),
inference(trivial_inequality_removal,[],[f1803]) ).
fof(f1803,plain,
( sF30 != sF30
| ~ elem(m_Down(sK6),sF37)
| sP18(sK2) ),
inference(superposition,[],[f1758,f345]) ).
fof(f345,plain,
host(sK6) = sF30,
introduced(function_definition,[]) ).
fof(f1758,plain,
! [X8] :
( sF30 != host(X8)
| ~ elem(m_Down(X8),sF37)
| sP18(sK2) ),
inference(subsumption_resolution,[],[f1713,f1750]) ).
fof(f1750,plain,
~ sP16(sK2),
inference(subsumption_resolution,[],[f1749,f409]) ).
fof(f409,plain,
sP17(sK5),
inference(subsumption_resolution,[],[f408,f336]) ).
fof(f408,plain,
( ~ elem(sF23,sF25)
| sP17(sK5) ),
inference(superposition,[],[f397,f333]) ).
fof(f397,plain,
! [X6] :
( ~ elem(m_Down(X6),sF25)
| sP17(X6) ),
inference(forward_demodulation,[],[f396,f335]) ).
fof(f396,plain,
! [X6] :
( ~ elem(m_Down(X6),queue(sF24))
| sP17(X6) ),
inference(subsumption_resolution,[],[f386,f200]) ).
fof(f386,plain,
! [X6] :
( ~ elem(m_Down(X6),queue(sF24))
| ~ setIn(sK4,alive)
| sP17(X6) ),
inference(superposition,[],[f321,f334]) ).
fof(f321,plain,
! [X10,X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| sP17(X10) ),
inference(cnf_transformation,[],[f321_D]) ).
fof(f321_D,plain,
! [X10] :
( ! [X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive) )
<=> ~ sP17(X10) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1749,plain,
( ~ sP16(sK2)
| ~ sP17(sK5) ),
inference(subsumption_resolution,[],[f1745,f360]) ).
fof(f1745,plain,
( nbr_proc != sF28
| ~ sP16(sK2)
| ~ sP17(sK5) ),
inference(superposition,[],[f1733,f341]) ).
fof(f1733,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ sP16(sK2)
| ~ sP17(X0) ),
inference(forward_demodulation,[],[f1732,f362]) ).
fof(f1732,plain,
! [X0] :
( host(X0) != sF32
| ~ sP16(sK2)
| ~ sP17(X0) ),
inference(subsumption_resolution,[],[f1731,f1469]) ).
fof(f1731,plain,
! [X0] :
( elec_1 != sF35
| host(X0) != sF32
| ~ sP16(sK2)
| ~ sP17(X0) ),
inference(forward_demodulation,[],[f1730,f353]) ).
fof(f1730,plain,
! [X0] :
( elec_1 != index(status,sF32)
| host(X0) != sF32
| ~ sP16(sK2)
| ~ sP17(X0) ),
inference(subsumption_resolution,[],[f1724,f362]) ).
fof(f1724,plain,
! [X0] :
( elec_1 != index(status,sF32)
| host(X0) != sF32
| nbr_proc != sF32
| ~ sP16(sK2)
| ~ sP17(X0) ),
inference(superposition,[],[f322,f348]) ).
fof(f322,plain,
! [X10,X12] :
( elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ sP16(X12)
| ~ sP17(X10) ),
inference(general_splitting,[],[f320,f321_D]) ).
fof(f320,plain,
! [X10,X9,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)
| ~ sP16(X12) ),
inference(general_splitting,[],[f187,f319_D]) ).
fof(f319,plain,
! [X11,X12] :
( ~ elem(m_Down(X11),queue(host(X12)))
| leq(s(zero),sK8(X11,X12))
| sP16(X12) ),
inference(cnf_transformation,[],[f319_D]) ).
fof(f319_D,plain,
! [X12] :
( ! [X11] :
( ~ elem(m_Down(X11),queue(host(X12)))
| leq(s(zero),sK8(X11,X12)) )
<=> ~ sP16(X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).
fof(f187,plain,
! [X10,X11,X9,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)))
| leq(s(zero),sK8(X11,X12)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1713,plain,
! [X8] :
( ~ elem(m_Down(X8),sF37)
| sF30 != host(X8)
| sP16(sK2)
| sP18(sK2) ),
inference(duplicate_literal_removal,[],[f1712]) ).
fof(f1712,plain,
! [X8] :
( ~ elem(m_Down(X8),sF37)
| sF30 != host(X8)
| sP16(sK2)
| ~ elem(m_Down(X8),sF37)
| sP18(sK2) ),
inference(forward_demodulation,[],[f1711,f356]) ).
fof(f1711,plain,
! [X8] :
( ~ elem(m_Down(X8),queue(sF32))
| sF30 != host(X8)
| sP16(sK2)
| ~ elem(m_Down(X8),sF37)
| sP18(sK2) ),
inference(forward_demodulation,[],[f1710,f348]) ).
fof(f1710,plain,
! [X8] :
( sF30 != host(X8)
| ~ elem(m_Down(X8),queue(host(sK2)))
| sP16(sK2)
| ~ elem(m_Down(X8),sF37)
| sP18(sK2) ),
inference(subsumption_resolution,[],[f1690,f1607]) ).
fof(f1607,plain,
~ sP12(sK2),
inference(subsumption_resolution,[],[f1606,f405]) ).
fof(f405,plain,
sP13(sK5),
inference(subsumption_resolution,[],[f404,f336]) ).
fof(f404,plain,
( ~ elem(sF23,sF25)
| sP13(sK5) ),
inference(superposition,[],[f393,f333]) ).
fof(f393,plain,
! [X4] :
( ~ elem(m_Down(X4),sF25)
| sP13(X4) ),
inference(forward_demodulation,[],[f392,f335]) ).
fof(f392,plain,
! [X4] :
( ~ elem(m_Down(X4),queue(sF24))
| sP13(X4) ),
inference(subsumption_resolution,[],[f384,f200]) ).
fof(f384,plain,
! [X4] :
( ~ elem(m_Down(X4),queue(sF24))
| ~ setIn(sK4,alive)
| sP13(X4) ),
inference(superposition,[],[f313,f334]) ).
fof(f313,plain,
! [X10,X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| sP13(X10) ),
inference(cnf_transformation,[],[f313_D]) ).
fof(f313_D,plain,
! [X10] :
( ! [X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive) )
<=> ~ sP13(X10) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1606,plain,
( ~ sP12(sK2)
| ~ sP13(sK5) ),
inference(subsumption_resolution,[],[f1602,f360]) ).
fof(f1602,plain,
( nbr_proc != sF28
| ~ sP12(sK2)
| ~ sP13(sK5) ),
inference(superposition,[],[f1590,f341]) ).
fof(f1590,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ sP12(sK2)
| ~ sP13(X0) ),
inference(forward_demodulation,[],[f1589,f362]) ).
fof(f1589,plain,
! [X0] :
( host(X0) != sF32
| ~ sP12(sK2)
| ~ sP13(X0) ),
inference(subsumption_resolution,[],[f1588,f1469]) ).
fof(f1588,plain,
! [X0] :
( elec_1 != sF35
| host(X0) != sF32
| ~ sP12(sK2)
| ~ sP13(X0) ),
inference(forward_demodulation,[],[f1587,f353]) ).
fof(f1587,plain,
! [X0] :
( elec_1 != index(status,sF32)
| host(X0) != sF32
| ~ sP12(sK2)
| ~ sP13(X0) ),
inference(subsumption_resolution,[],[f1581,f362]) ).
fof(f1581,plain,
! [X0] :
( elec_1 != index(status,sF32)
| host(X0) != sF32
| nbr_proc != sF32
| ~ sP12(sK2)
| ~ sP13(X0) ),
inference(superposition,[],[f314,f348]) ).
fof(f314,plain,
! [X10,X12] :
( elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ sP12(X12)
| ~ sP13(X10) ),
inference(general_splitting,[],[f312,f313_D]) ).
fof(f312,plain,
! [X10,X9,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)
| ~ sP12(X12) ),
inference(general_splitting,[],[f189,f311_D]) ).
fof(f311,plain,
! [X11,X12] :
( host(X11) != sK8(X11,X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| sP12(X12) ),
inference(cnf_transformation,[],[f311_D]) ).
fof(f311_D,plain,
! [X12] :
( ! [X11] :
( host(X11) != sK8(X11,X12)
| ~ elem(m_Down(X11),queue(host(X12))) )
<=> ~ sP12(X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f189,plain,
! [X10,X11,X9,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) != sK8(X11,X12) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1690,plain,
! [X8] :
( sF30 != host(X8)
| ~ elem(m_Down(X8),queue(host(sK2)))
| sP12(sK2)
| sP16(sK2)
| ~ elem(m_Down(X8),sF37)
| sP18(sK2) ),
inference(superposition,[],[f311,f1681]) ).
fof(f1681,plain,
! [X0] :
( sF30 = sK8(X0,sK2)
| sP16(sK2)
| ~ elem(m_Down(X0),sF37)
| sP18(sK2) ),
inference(duplicate_literal_removal,[],[f1680]) ).
fof(f1680,plain,
! [X0] :
( sP16(sK2)
| sF30 = sK8(X0,sK2)
| ~ elem(m_Down(X0),sF37)
| ~ elem(m_Down(X0),sF37)
| sP18(sK2) ),
inference(resolution,[],[f1655,f940]) ).
fof(f940,plain,
! [X0] :
( ~ leq(nbr_proc,sK8(X0,sK2))
| ~ elem(m_Down(X0),sF37)
| sP18(sK2) ),
inference(forward_demodulation,[],[f939,f356]) ).
fof(f939,plain,
! [X0] :
( ~ leq(nbr_proc,sK8(X0,sK2))
| ~ elem(m_Down(X0),queue(sF32))
| sP18(sK2) ),
inference(forward_demodulation,[],[f933,f362]) ).
fof(f933,plain,
! [X0] :
( ~ leq(sF32,sK8(X0,sK2))
| ~ elem(m_Down(X0),queue(sF32))
| sP18(sK2) ),
inference(superposition,[],[f323,f348]) ).
fof(f1655,plain,
! [X0] :
( leq(nbr_proc,sK8(X0,sK2))
| sP16(sK2)
| sF30 = sK8(X0,sK2)
| ~ elem(m_Down(X0),sF37) ),
inference(subsumption_resolution,[],[f820,f1653]) ).
fof(f1653,plain,
! [X0] :
( ~ setIn(sK8(X0,sK2),sF31)
| ~ elem(m_Down(X0),sF37) ),
inference(subsumption_resolution,[],[f1489,f1652]) ).
fof(f1652,plain,
~ sP14(sK2),
inference(subsumption_resolution,[],[f1651,f407]) ).
fof(f407,plain,
sP15(sK5),
inference(subsumption_resolution,[],[f406,f336]) ).
fof(f406,plain,
( ~ elem(sF23,sF25)
| sP15(sK5) ),
inference(superposition,[],[f395,f333]) ).
fof(f395,plain,
! [X5] :
( ~ elem(m_Down(X5),sF25)
| sP15(X5) ),
inference(forward_demodulation,[],[f394,f335]) ).
fof(f394,plain,
! [X5] :
( ~ elem(m_Down(X5),queue(sF24))
| sP15(X5) ),
inference(subsumption_resolution,[],[f385,f200]) ).
fof(f385,plain,
! [X5] :
( ~ elem(m_Down(X5),queue(sF24))
| ~ setIn(sK4,alive)
| sP15(X5) ),
inference(superposition,[],[f317,f334]) ).
fof(f317,plain,
! [X10,X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| sP15(X10) ),
inference(cnf_transformation,[],[f317_D]) ).
fof(f317_D,plain,
! [X10] :
( ! [X9] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive) )
<=> ~ sP15(X10) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1651,plain,
( ~ sP14(sK2)
| ~ sP15(sK5) ),
inference(subsumption_resolution,[],[f1647,f360]) ).
fof(f1647,plain,
( nbr_proc != sF28
| ~ sP14(sK2)
| ~ sP15(sK5) ),
inference(superposition,[],[f1635,f341]) ).
fof(f1635,plain,
! [X0] :
( host(X0) != nbr_proc
| ~ sP14(sK2)
| ~ sP15(X0) ),
inference(forward_demodulation,[],[f1634,f362]) ).
fof(f1634,plain,
! [X0] :
( host(X0) != sF32
| ~ sP14(sK2)
| ~ sP15(X0) ),
inference(subsumption_resolution,[],[f1633,f1469]) ).
fof(f1633,plain,
! [X0] :
( elec_1 != sF35
| host(X0) != sF32
| ~ sP14(sK2)
| ~ sP15(X0) ),
inference(forward_demodulation,[],[f1632,f353]) ).
fof(f1632,plain,
! [X0] :
( elec_1 != index(status,sF32)
| host(X0) != sF32
| ~ sP14(sK2)
| ~ sP15(X0) ),
inference(subsumption_resolution,[],[f1626,f362]) ).
fof(f1626,plain,
! [X0] :
( elec_1 != index(status,sF32)
| host(X0) != sF32
| nbr_proc != sF32
| ~ sP14(sK2)
| ~ sP15(X0) ),
inference(superposition,[],[f318,f348]) ).
fof(f318,plain,
! [X10,X12] :
( elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ sP14(X12)
| ~ sP15(X10) ),
inference(general_splitting,[],[f316,f317_D]) ).
fof(f316,plain,
! [X10,X9,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)
| ~ sP14(X12) ),
inference(general_splitting,[],[f188,f315_D]) ).
fof(f315,plain,
! [X11,X12] :
( ~ setIn(sK8(X11,X12),index(down,host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| sP14(X12) ),
inference(cnf_transformation,[],[f315_D]) ).
fof(f315_D,plain,
! [X12] :
( ! [X11] :
( ~ setIn(sK8(X11,X12),index(down,host(X12)))
| ~ elem(m_Down(X11),queue(host(X12))) )
<=> ~ sP14(X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).
fof(f188,plain,
! [X10,X11,X9,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)))
| ~ setIn(sK8(X11,X12),index(down,host(X12))) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1489,plain,
! [X0] :
( ~ setIn(sK8(X0,sK2),sF31)
| ~ elem(m_Down(X0),sF37)
| sP14(sK2) ),
inference(forward_demodulation,[],[f1488,f356]) ).
fof(f1488,plain,
! [X0] :
( ~ setIn(sK8(X0,sK2),sF31)
| ~ elem(m_Down(X0),queue(sF32))
| sP14(sK2) ),
inference(forward_demodulation,[],[f1487,f1466]) ).
fof(f1466,plain,
sF31 = index(down,nbr_proc),
inference(superposition,[],[f346,f340]) ).
fof(f346,plain,
index(down,sF26) = sF31,
introduced(function_definition,[]) ).
fof(f1487,plain,
! [X0] :
( ~ setIn(sK8(X0,sK2),index(down,nbr_proc))
| ~ elem(m_Down(X0),queue(sF32))
| sP14(sK2) ),
inference(forward_demodulation,[],[f1481,f362]) ).
fof(f1481,plain,
! [X0] :
( ~ setIn(sK8(X0,sK2),index(down,sF32))
| ~ elem(m_Down(X0),queue(sF32))
| sP14(sK2) ),
inference(superposition,[],[f315,f348]) ).
fof(f820,plain,
! [X0] :
( ~ elem(m_Down(X0),sF37)
| sP16(sK2)
| sF30 = sK8(X0,sK2)
| setIn(sK8(X0,sK2),sF31)
| leq(nbr_proc,sK8(X0,sK2)) ),
inference(resolution,[],[f814,f361]) ).
fof(f361,plain,
! [X8] :
( ~ leq(sF22,X8)
| sF30 = X8
| setIn(X8,sF31)
| leq(nbr_proc,X8) ),
inference(forward_demodulation,[],[f347,f340]) ).
fof(f347,plain,
! [X8] :
( sF30 = X8
| setIn(X8,sF31)
| ~ leq(sF22,X8)
| leq(sF26,X8) ),
inference(definition_folding,[],[f195,f337,f331,f346,f337,f345]) ).
fof(f331,plain,
s(zero) = sF22,
introduced(function_definition,[]) ).
fof(f195,plain,
! [X8] :
( host(sK6) = X8
| setIn(X8,index(down,host(sK7)))
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) ),
inference(cnf_transformation,[],[f147]) ).
fof(f814,plain,
! [X0] :
( leq(sF22,sK8(X0,sK2))
| ~ elem(m_Down(X0),sF37)
| sP16(sK2) ),
inference(forward_demodulation,[],[f808,f356]) ).
fof(f808,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(sF32))
| leq(sF22,sK8(X0,sK2))
| sP16(sK2) ),
inference(superposition,[],[f332,f348]) ).
fof(f332,plain,
! [X11,X12] :
( ~ elem(m_Down(X11),queue(host(X12)))
| leq(sF22,sK8(X11,X12))
| sP16(X12) ),
inference(definition_folding,[],[f319,f331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 04:27:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.V3Tt0uYq45/Vampire---4.8_18689
% 0.14/0.37 % (18801)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (18806)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.22/0.43 % (18810)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.43 % (18802)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.22/0.43 % (18804)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.22/0.43 % (18805)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.22/0.43 % (18808)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.43 % (18807)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.49 % (18802)First to succeed.
% 0.22/0.50 % (18802)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for Vampire---4
% 0.22/0.50 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.50 % (18802)------------------------------
% 0.22/0.50 % (18802)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.50 % (18802)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.50 % (18802)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (18802)Memory used [KB]: 2302
% 0.22/0.50 % (18802)Time elapsed: 0.064 s
% 0.22/0.50 % (18802)------------------------------
% 0.22/0.50 % (18802)------------------------------
% 0.22/0.50 % (18801)Success in time 0.125 s
% 0.22/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------