TSTP Solution File: SWV454+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV454+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 18:59:07 EDT 2022
% Result : Theorem 2.31s 0.72s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 12 unt; 0 def)
% Number of atoms : 600 ( 250 equ)
% Maximal formula atoms : 98 ( 12 avg)
% Number of connectives : 894 ( 342 ~; 199 |; 285 &)
% ( 4 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 9 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 283 ( 239 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f796,plain,
$false,
inference(avatar_sat_refutation,[],[f561,f690,f795]) ).
fof(f795,plain,
~ spl10_15,
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| ~ spl10_15 ),
inference(subsumption_resolution,[],[f793,f248]) ).
fof(f248,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ! [X3,X4] :
( X3 = X4
| ~ setIn(X3,alive)
| ~ setIn(X4,alive)
| host(X3) != host(X4) )
& ! [X5,X6,X7] :
( ~ leq(host(X7),host(X6))
| ~ elem(m_Ack(X6,X7),queue(host(X5))) )
& ~ leq(nbr_proc,host(sK1))
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| host(X9) != host(X8) )
& elec_1 = index(status,host(sK1))
& ! [X10,X11] :
( ~ elem(m_Halt(X10),queue(host(X11)))
| ~ leq(host(X11),host(X10)) )
& ~ leq(host(sK1),host(sK2))
& ! [X12] :
( setIn(X12,index(down,host(sK1)))
| leq(host(sK1),X12)
| ~ leq(s(zero),X12)
| host(sK2) = X12 )
& ! [X13,X14] :
( setIn(X14,alive)
| ~ setIn(X13,alive)
| ~ leq(X13,X14)
| host(X13) != host(X14) )
& ( wait != index(status,host(sK1))
| host(sK2) != host(index(elid,host(sK1))) )
& ! [X15,X16] :
( ~ elem(m_Down(X15),queue(host(X16)))
| ~ setIn(X15,alive) )
& setIn(sK1,alive)
& ! [X17,X18] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20,X21,X22] :
( ~ elem(m_Down(X21),queue(host(X20)))
| ~ elem(m_Down(X19),queue(host(X22)))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| host(X22) = host(X20)
| host(X22) != host(X21)
| host(X19) != host(X20) )
& host(sK1) != host(sK6)
& s(host(sK1)) != host(sK6)
& host(sK5) = host(sK4)
& setIn(sK6,alive)
& setIn(sK4,alive)
& host(sK6) = host(sK7)
& host(sK4) != host(sK6)
& elem(m_Down(sK5),queue(host(sK6)))
& elem(m_Down(sK7),sK3)
& host(sK4) = host(sK1)
& s(host(sK1)) != host(sK4)
& cons(m_Down(sK2),sK3) = queue(host(sK1))
& ( norm != index(status,host(sK1))
| host(sK2) != index(ldr,host(sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f164,f168,f167,f166,f165]) ).
fof(f165,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( X3 = X4
| ~ setIn(X3,alive)
| ~ setIn(X4,alive)
| host(X3) != host(X4) )
& ! [X5,X6,X7] :
( ~ leq(host(X7),host(X6))
| ~ elem(m_Ack(X6,X7),queue(host(X5))) )
& ~ leq(nbr_proc,host(X0))
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| host(X9) != host(X8) )
& elec_1 = index(status,host(X0))
& ! [X10,X11] :
( ~ elem(m_Halt(X10),queue(host(X11)))
| ~ leq(host(X11),host(X10)) )
& ~ leq(host(X0),host(X1))
& ! [X12] :
( setIn(X12,index(down,host(X0)))
| leq(host(X0),X12)
| ~ leq(s(zero),X12)
| host(X1) = X12 )
& ! [X13,X14] :
( setIn(X14,alive)
| ~ setIn(X13,alive)
| ~ leq(X13,X14)
| host(X13) != host(X14) )
& ( wait != index(status,host(X0))
| host(X1) != host(index(elid,host(X0))) )
& ! [X15,X16] :
( ~ elem(m_Down(X15),queue(host(X16)))
| ~ setIn(X15,alive) )
& setIn(X0,alive)
& ! [X17,X18] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20,X21,X22] :
( ~ elem(m_Down(X21),queue(host(X20)))
| ~ elem(m_Down(X19),queue(host(X22)))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| host(X22) = host(X20)
| host(X22) != host(X21)
| host(X19) != host(X20) )
& ? [X23] :
( ? [X24,X25] :
( host(X0) != host(X25)
& host(X25) != s(host(X0))
& ? [X26] :
( host(X23) = host(X24)
& setIn(X25,alive)
& setIn(X23,alive)
& host(X25) = host(X26)
& host(X25) != host(X23)
& elem(m_Down(X24),queue(host(X25)))
& elem(m_Down(X26),X2) ) )
& host(X0) = host(X23)
& host(X23) != s(host(X0)) )
& queue(host(X0)) = cons(m_Down(X1),X2)
& ( norm != index(status,host(X0))
| host(X1) != index(ldr,host(X0)) ) )
=> ( ! [X3,X4] :
( X3 = X4
| ~ setIn(X3,alive)
| ~ setIn(X4,alive)
| host(X3) != host(X4) )
& ! [X5,X6,X7] :
( ~ leq(host(X7),host(X6))
| ~ elem(m_Ack(X6,X7),queue(host(X5))) )
& ~ leq(nbr_proc,host(sK1))
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| host(X9) != host(X8) )
& elec_1 = index(status,host(sK1))
& ! [X10,X11] :
( ~ elem(m_Halt(X10),queue(host(X11)))
| ~ leq(host(X11),host(X10)) )
& ~ leq(host(sK1),host(sK2))
& ! [X12] :
( setIn(X12,index(down,host(sK1)))
| leq(host(sK1),X12)
| ~ leq(s(zero),X12)
| host(sK2) = X12 )
& ! [X13,X14] :
( setIn(X14,alive)
| ~ setIn(X13,alive)
| ~ leq(X13,X14)
| host(X13) != host(X14) )
& ( wait != index(status,host(sK1))
| host(sK2) != host(index(elid,host(sK1))) )
& ! [X15,X16] :
( ~ elem(m_Down(X15),queue(host(X16)))
| ~ setIn(X15,alive) )
& setIn(sK1,alive)
& ! [X17,X18] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20,X21,X22] :
( ~ elem(m_Down(X21),queue(host(X20)))
| ~ elem(m_Down(X19),queue(host(X22)))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| host(X22) = host(X20)
| host(X22) != host(X21)
| host(X19) != host(X20) )
& ? [X23] :
( ? [X25,X24] :
( host(X25) != host(sK1)
& host(X25) != s(host(sK1))
& ? [X26] :
( host(X23) = host(X24)
& setIn(X25,alive)
& setIn(X23,alive)
& host(X25) = host(X26)
& host(X25) != host(X23)
& elem(m_Down(X24),queue(host(X25)))
& elem(m_Down(X26),sK3) ) )
& host(sK1) = host(X23)
& s(host(sK1)) != host(X23) )
& cons(m_Down(sK2),sK3) = queue(host(sK1))
& ( norm != index(status,host(sK1))
| host(sK2) != index(ldr,host(sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X23] :
( ? [X25,X24] :
( host(X25) != host(sK1)
& host(X25) != s(host(sK1))
& ? [X26] :
( host(X23) = host(X24)
& setIn(X25,alive)
& setIn(X23,alive)
& host(X25) = host(X26)
& host(X25) != host(X23)
& elem(m_Down(X24),queue(host(X25)))
& elem(m_Down(X26),sK3) ) )
& host(sK1) = host(X23)
& s(host(sK1)) != host(X23) )
=> ( ? [X25,X24] :
( host(X25) != host(sK1)
& host(X25) != s(host(sK1))
& ? [X26] :
( host(sK4) = host(X24)
& setIn(X25,alive)
& setIn(sK4,alive)
& host(X25) = host(X26)
& host(X25) != host(sK4)
& elem(m_Down(X24),queue(host(X25)))
& elem(m_Down(X26),sK3) ) )
& host(sK4) = host(sK1)
& s(host(sK1)) != host(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
( ? [X25,X24] :
( host(X25) != host(sK1)
& host(X25) != s(host(sK1))
& ? [X26] :
( host(sK4) = host(X24)
& setIn(X25,alive)
& setIn(sK4,alive)
& host(X25) = host(X26)
& host(X25) != host(sK4)
& elem(m_Down(X24),queue(host(X25)))
& elem(m_Down(X26),sK3) ) )
=> ( host(sK1) != host(sK6)
& s(host(sK1)) != host(sK6)
& ? [X26] :
( host(sK5) = host(sK4)
& setIn(sK6,alive)
& setIn(sK4,alive)
& host(sK6) = host(X26)
& host(sK4) != host(sK6)
& elem(m_Down(sK5),queue(host(sK6)))
& elem(m_Down(X26),sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X26] :
( host(sK5) = host(sK4)
& setIn(sK6,alive)
& setIn(sK4,alive)
& host(sK6) = host(X26)
& host(sK4) != host(sK6)
& elem(m_Down(sK5),queue(host(sK6)))
& elem(m_Down(X26),sK3) )
=> ( host(sK5) = host(sK4)
& setIn(sK6,alive)
& setIn(sK4,alive)
& host(sK6) = host(sK7)
& host(sK4) != host(sK6)
& elem(m_Down(sK5),queue(host(sK6)))
& elem(m_Down(sK7),sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
? [X0,X1,X2] :
( ! [X3,X4] :
( X3 = X4
| ~ setIn(X3,alive)
| ~ setIn(X4,alive)
| host(X3) != host(X4) )
& ! [X5,X6,X7] :
( ~ leq(host(X7),host(X6))
| ~ elem(m_Ack(X6,X7),queue(host(X5))) )
& ~ leq(nbr_proc,host(X0))
& ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| host(X9) != host(X8) )
& elec_1 = index(status,host(X0))
& ! [X10,X11] :
( ~ elem(m_Halt(X10),queue(host(X11)))
| ~ leq(host(X11),host(X10)) )
& ~ leq(host(X0),host(X1))
& ! [X12] :
( setIn(X12,index(down,host(X0)))
| leq(host(X0),X12)
| ~ leq(s(zero),X12)
| host(X1) = X12 )
& ! [X13,X14] :
( setIn(X14,alive)
| ~ setIn(X13,alive)
| ~ leq(X13,X14)
| host(X13) != host(X14) )
& ( wait != index(status,host(X0))
| host(X1) != host(index(elid,host(X0))) )
& ! [X15,X16] :
( ~ elem(m_Down(X15),queue(host(X16)))
| ~ setIn(X15,alive) )
& setIn(X0,alive)
& ! [X17,X18] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20,X21,X22] :
( ~ elem(m_Down(X21),queue(host(X20)))
| ~ elem(m_Down(X19),queue(host(X22)))
| ~ setIn(X20,alive)
| ~ setIn(X22,alive)
| host(X22) = host(X20)
| host(X22) != host(X21)
| host(X19) != host(X20) )
& ? [X23] :
( ? [X24,X25] :
( host(X0) != host(X25)
& host(X25) != s(host(X0))
& ? [X26] :
( host(X23) = host(X24)
& setIn(X25,alive)
& setIn(X23,alive)
& host(X25) = host(X26)
& host(X25) != host(X23)
& elem(m_Down(X24),queue(host(X25)))
& elem(m_Down(X26),X2) ) )
& host(X0) = host(X23)
& host(X23) != s(host(X0)) )
& queue(host(X0)) = cons(m_Down(X1),X2)
& ( norm != index(status,host(X0))
| host(X1) != index(ldr,host(X0)) ) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
? [X1,X3,X2] :
( ! [X7,X6] :
( X6 = X7
| ~ setIn(X7,alive)
| ~ setIn(X6,alive)
| host(X6) != host(X7) )
& ! [X19,X20,X18] :
( ~ leq(host(X18),host(X20))
| ~ elem(m_Ack(X20,X18),queue(host(X19))) )
& ~ leq(nbr_proc,host(X1))
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| host(X22) != host(X21) )
& elec_1 = index(status,host(X1))
& ! [X17,X16] :
( ~ elem(m_Halt(X17),queue(host(X16)))
| ~ leq(host(X16),host(X17)) )
& ~ leq(host(X1),host(X3))
& ! [X23] :
( setIn(X23,index(down,host(X1)))
| leq(host(X1),X23)
| ~ leq(s(zero),X23)
| host(X3) = X23 )
& ! [X15,X14] :
( setIn(X14,alive)
| ~ setIn(X15,alive)
| ~ leq(X15,X14)
| host(X14) != host(X15) )
& ( wait != index(status,host(X1))
| host(X3) != host(index(elid,host(X1))) )
& ! [X8,X9] :
( ~ elem(m_Down(X8),queue(host(X9)))
| ~ setIn(X8,alive) )
& setIn(X1,alive)
& ! [X5,X4] :
( ~ setIn(X4,alive)
| ~ elem(m_Down(X4),queue(host(X5))) )
& ! [X11,X10,X12,X13] :
( ~ elem(m_Down(X12),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X13)))
| ~ setIn(X10,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X10)
| host(X13) != host(X12)
| host(X10) != host(X11) )
& ? [X24] :
( ? [X25,X26] :
( host(X1) != host(X26)
& s(host(X1)) != host(X26)
& ? [X27] :
( host(X25) = host(X24)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X27) = host(X26)
& host(X24) != host(X26)
& elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X2) ) )
& host(X1) = host(X24)
& host(X24) != s(host(X1)) )
& cons(m_Down(X3),X2) = queue(host(X1))
& ( norm != index(status,host(X1))
| host(X3) != index(ldr,host(X1)) ) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
? [X1,X3,X2] :
( ? [X24] :
( ? [X26,X25] :
( ? [X27] :
( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X2)
& setIn(X24,alive)
& host(X27) = host(X26)
& host(X24) != host(X26)
& setIn(X26,alive)
& host(X25) = host(X24) )
& host(X1) != host(X26)
& s(host(X1)) != host(X26) )
& host(X1) = host(X24)
& host(X24) != s(host(X1)) )
& ~ leq(nbr_proc,host(X1))
& ! [X23] :
( setIn(X23,index(down,host(X1)))
| host(X3) = X23
| ~ leq(s(zero),X23)
| leq(host(X1),X23) )
& elec_1 = index(status,host(X1))
& ( norm != index(status,host(X1))
| host(X3) != index(ldr,host(X1)) )
& ( wait != index(status,host(X1))
| host(X3) != host(index(elid,host(X1))) )
& ~ leq(host(X1),host(X3))
& setIn(X1,alive)
& cons(m_Down(X3),X2) = queue(host(X1))
& ! [X15,X14] :
( ~ setIn(X15,alive)
| setIn(X14,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14) )
& ! [X17,X16] :
( ~ elem(m_Halt(X17),queue(host(X16)))
| ~ leq(host(X16),host(X17)) )
& ! [X19,X20,X18] :
( ~ leq(host(X18),host(X20))
| ~ elem(m_Ack(X20,X18),queue(host(X19))) )
& ! [X8,X9] :
( ~ elem(m_Down(X8),queue(host(X9)))
| ~ setIn(X8,alive) )
& ! [X11,X12,X13,X10] :
( ~ elem(m_Down(X12),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X13)))
| host(X13) = host(X10)
| ~ setIn(X10,alive)
| host(X13) != host(X12)
| host(X10) != host(X11)
| ~ setIn(X13,alive) )
& ! [X5,X4] :
( ~ setIn(X4,alive)
| ~ elem(m_Down(X4),queue(host(X5))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| host(X22) != host(X21) )
& ! [X6,X7] :
( ~ setIn(X6,alive)
| ~ setIn(X7,alive)
| X6 = X7
| host(X6) != host(X7) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X1,X3,X2] :
( ( cons(m_Down(X3),X2) = queue(host(X1))
& ! [X15,X14] :
( ( ~ setIn(X14,alive)
& host(X14) = host(X15)
& leq(X15,X14) )
=> ~ setIn(X15,alive) )
& ! [X16,X17] :
( elem(m_Halt(X17),queue(host(X16)))
=> ~ leq(host(X16),host(X17)) )
& ! [X20,X19,X18] :
( elem(m_Ack(X20,X18),queue(host(X19)))
=> ~ leq(host(X18),host(X20)) )
& ! [X8,X9] :
( setIn(X8,alive)
=> ~ elem(m_Down(X8),queue(host(X9))) )
& ! [X11,X12,X13,X10] :
( ( host(X13) != host(X10)
& setIn(X10,alive)
& host(X13) = host(X12)
& host(X10) = host(X11)
& setIn(X13,alive) )
=> ~ ( elem(m_Down(X12),queue(host(X10)))
& elem(m_Down(X11),queue(host(X13))) ) )
& ! [X5,X4] :
( elem(m_Down(X4),queue(host(X5)))
=> ~ setIn(X4,alive) )
& ! [X21,X22] :
( elem(m_Down(X22),queue(host(X21)))
=> host(X22) != host(X21) )
& ! [X6,X7] :
( ( X6 != X7
& host(X6) = host(X7) )
=> ( ~ setIn(X6,alive)
| ~ setIn(X7,alive) ) ) )
=> ( setIn(X1,alive)
=> ( ~ leq(host(X1),host(X3))
=> ( ~ ( ( norm = index(status,host(X1))
& host(X3) = index(ldr,host(X1)) )
| ( host(X3) = host(index(elid,host(X1)))
& wait = index(status,host(X1)) ) )
=> ( ( ! [X23] :
( ( leq(s(zero),X23)
& ~ leq(host(X1),X23) )
=> ( setIn(X23,index(down,host(X1)))
| host(X3) = X23 ) )
& elec_1 = index(status,host(X1)) )
=> ( ~ leq(nbr_proc,host(X1))
=> ! [X24] :
( host(X24) != s(host(X1))
=> ( host(X1) = host(X24)
=> ! [X26,X25] :
( s(host(X1)) != host(X26)
=> ( host(X1) != host(X26)
=> ! [X27] :
( ( setIn(X24,alive)
& host(X27) = host(X26)
& host(X24) != host(X26)
& setIn(X26,alive)
& host(X25) = host(X24) )
=> ~ ( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X2) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X12,X4,X11,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X13,X6] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( ( X6 != X13
& host(X6) = host(X13) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X13,X6] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) )
& ! [X6,X15,X13,X14] :
( ( host(X6) != host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X13) = host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( ~ setIn(X6,alive)
& host(X6) = host(X13)
& leq(X13,X6) )
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) )
| ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) ) )
=> ( ( ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( setIn(X6,index(down,host(X4)))
| host(X5) = X6 ) )
& elec_1 = index(status,host(X4)) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X6) != s(host(X4))
=> ( host(X4) = host(X6)
=> ! [X16,X17] :
( s(host(X4)) != host(X17)
=> ( host(X4) != host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& setIn(X17,alive)
& host(X6) != host(X17)
& host(X6) = host(X16)
& setIn(X6,alive) )
=> ~ ( elem(m_Down(X18),X11)
& elem(m_Down(X16),queue(host(X17))) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X12,X4,X11,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X13,X6] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( ( X6 != X13
& host(X6) = host(X13) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X13,X6] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) )
& ! [X6,X15,X13,X14] :
( ( host(X6) != host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X13) = host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( ~ setIn(X6,alive)
& host(X6) = host(X13)
& leq(X13,X6) )
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) )
| ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) ) )
=> ( ( ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( setIn(X6,index(down,host(X4)))
| host(X5) = X6 ) )
& elec_1 = index(status,host(X4)) )
=> ( ~ leq(nbr_proc,host(X4))
=> ! [X6] :
( host(X6) != s(host(X4))
=> ( host(X4) = host(X6)
=> ! [X16,X17] :
( s(host(X4)) != host(X17)
=> ( host(X4) != host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& setIn(X17,alive)
& host(X6) != host(X17)
& host(X6) = host(X16)
& setIn(X6,alive) )
=> ~ ( elem(m_Down(X18),X11)
& elem(m_Down(X16),queue(host(X17))) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f793,plain,
( ~ setIn(sK6,alive)
| ~ spl10_15 ),
inference(subsumption_resolution,[],[f791,f244]) ).
fof(f244,plain,
elem(m_Down(sK5),queue(host(sK6))),
inference(cnf_transformation,[],[f169]) ).
fof(f791,plain,
( ~ elem(m_Down(sK5),queue(host(sK6)))
| ~ setIn(sK6,alive)
| ~ spl10_15 ),
inference(equality_resolution,[],[f560]) ).
fof(f560,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(X0))) )
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f559,plain,
( spl10_15
<=> ! [X0] :
( ~ elem(m_Down(sK5),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) != host(sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f690,plain,
spl10_14,
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| spl10_14 ),
inference(subsumption_resolution,[],[f684,f243]) ).
fof(f243,plain,
elem(m_Down(sK7),sK3),
inference(cnf_transformation,[],[f169]) ).
fof(f684,plain,
( ~ elem(m_Down(sK7),sK3)
| spl10_14 ),
inference(resolution,[],[f675,f557]) ).
fof(f557,plain,
( ~ elem(m_Down(sK7),queue(host(sK1)))
| spl10_14 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f555,plain,
( spl10_14
<=> elem(m_Down(sK7),queue(host(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f675,plain,
! [X0] :
( elem(X0,queue(host(sK1)))
| ~ elem(X0,sK3) ),
inference(superposition,[],[f222,f240]) ).
fof(f240,plain,
cons(m_Down(sK2),sK3) = queue(host(sK1)),
inference(cnf_transformation,[],[f169]) ).
fof(f222,plain,
! [X2,X0,X1] :
( elem(X0,cons(X2,X1))
| ~ elem(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X2,X1))
| ( ~ elem(X0,X1)
& X0 != X2 ) )
& ( elem(X0,X1)
| X0 = X2
| ~ elem(X0,cons(X2,X1)) ) ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
! [X2,X1,X0] :
( ( elem(X2,cons(X0,X1))
| ( ~ elem(X2,X1)
& X0 != X2 ) )
& ( elem(X2,X1)
| X0 = X2
| ~ elem(X2,cons(X0,X1)) ) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X2,X1,X0] :
( ( elem(X2,cons(X0,X1))
| ( ~ elem(X2,X1)
& X0 != X2 ) )
& ( elem(X2,X1)
| X0 = X2
| ~ elem(X2,cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X2,X1,X0] :
( elem(X2,cons(X0,X1))
<=> ( elem(X2,X1)
| X0 = X2 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X5,X3,X4] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f561,plain,
( ~ spl10_14
| spl10_15 ),
inference(avatar_split_clause,[],[f553,f559,f555]) ).
fof(f553,plain,
! [X0] :
( ~ elem(m_Down(sK5),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(sK1)))
| host(X0) != host(sK6)
| ~ setIn(X0,alive) ),
inference(subsumption_resolution,[],[f552,f364]) ).
fof(f364,plain,
! [X2] :
( host(X2) != host(sK1)
| ~ elem(m_Down(sK5),queue(host(X2))) ),
inference(superposition,[],[f262,f353]) ).
fof(f353,plain,
host(sK5) = host(sK1),
inference(forward_demodulation,[],[f249,f242]) ).
fof(f242,plain,
host(sK4) = host(sK1),
inference(cnf_transformation,[],[f169]) ).
fof(f249,plain,
host(sK5) = host(sK4),
inference(cnf_transformation,[],[f169]) ).
fof(f262,plain,
! [X8,X9] :
( host(X9) != host(X8)
| ~ elem(m_Down(X9),queue(host(X8))) ),
inference(cnf_transformation,[],[f169]) ).
fof(f552,plain,
! [X0] :
( ~ setIn(X0,alive)
| host(X0) = host(sK1)
| ~ elem(m_Down(sK5),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(sK1)))
| host(X0) != host(sK6) ),
inference(subsumption_resolution,[],[f550,f254]) ).
fof(f254,plain,
setIn(sK1,alive),
inference(cnf_transformation,[],[f169]) ).
fof(f550,plain,
! [X0] :
( ~ setIn(X0,alive)
| host(X0) = host(sK1)
| host(X0) != host(sK6)
| ~ elem(m_Down(sK7),queue(host(sK1)))
| ~ setIn(sK1,alive)
| ~ elem(m_Down(sK5),queue(host(X0))) ),
inference(equality_resolution,[],[f526]) ).
fof(f526,plain,
! [X2,X3] :
( host(X3) != host(sK1)
| ~ setIn(X3,alive)
| ~ elem(m_Down(sK7),queue(host(X3)))
| host(X2) = host(X3)
| ~ setIn(X2,alive)
| host(X2) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X2))) ),
inference(superposition,[],[f460,f246]) ).
fof(f246,plain,
host(sK6) = host(sK7),
inference(cnf_transformation,[],[f169]) ).
fof(f460,plain,
! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X0) != host(sK1)
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X1,alive)
| host(X0) = host(X1)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK5),queue(host(X1))) ),
inference(superposition,[],[f252,f353]) ).
fof(f252,plain,
! [X21,X19,X22,X20] :
( host(X22) != host(X21)
| host(X22) = host(X20)
| ~ elem(m_Down(X21),queue(host(X20)))
| ~ elem(m_Down(X19),queue(host(X22)))
| ~ setIn(X20,alive)
| host(X19) != host(X20)
| ~ setIn(X22,alive) ),
inference(cnf_transformation,[],[f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV454+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 30 19:32:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (13308)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (13324)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 % (13309)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 % (13316)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 % (13309)Instruction limit reached!
% 0.20/0.56 % (13309)------------------------------
% 0.20/0.56 % (13309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (13309)Termination reason: Unknown
% 0.20/0.56 % (13309)Termination phase: Preprocessing 2
% 0.20/0.56
% 0.20/0.56 % (13309)Memory used [KB]: 1023
% 0.20/0.56 % (13309)Time elapsed: 0.003 s
% 0.20/0.56 % (13309)Instructions burned: 2 (million)
% 0.20/0.56 % (13309)------------------------------
% 0.20/0.56 % (13309)------------------------------
% 0.20/0.56 % (13325)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (13317)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (13308)Instruction limit reached!
% 0.20/0.56 % (13308)------------------------------
% 0.20/0.56 % (13308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (13308)Termination reason: Unknown
% 0.20/0.56 % (13308)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (13308)Memory used [KB]: 5628
% 0.20/0.56 % (13308)Time elapsed: 0.011 s
% 0.20/0.56 % (13308)Instructions burned: 7 (million)
% 0.20/0.56 % (13308)------------------------------
% 0.20/0.56 % (13308)------------------------------
% 0.20/0.60 % (13303)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.60 % (13301)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.83/0.61 % (13306)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.83/0.61 % (13304)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.61 % (13327)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.83/0.62 % (13312)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.62 % (13305)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.62 % (13311)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.83/0.62 % (13307)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.62 % (13330)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.83/0.62 % (13329)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.83/0.62 % (13322)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.83/0.63 % (13320)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.63 % (13319)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.05/0.63 % (13328)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.05/0.63 % (13323)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 2.05/0.63 % (13321)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.05/0.63 % (13318)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.05/0.64 % (13315)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.05/0.64 % (13314)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.05/0.64 % (13313)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.05/0.64 % (13302)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.05/0.65 % (13326)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.05/0.65 % (13310)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.05/0.65 TRYING [4]
% 2.31/0.67 TRYING [4]
% 2.31/0.69 TRYING [4]
% 2.31/0.71 % (13303)Instruction limit reached!
% 2.31/0.71 % (13303)------------------------------
% 2.31/0.71 % (13303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.71 % (13303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.71 % (13303)Termination reason: Unknown
% 2.31/0.71 % (13303)Termination phase: Saturation
% 2.31/0.71
% 2.31/0.71 % (13303)Memory used [KB]: 1535
% 2.31/0.71 % (13303)Time elapsed: 0.277 s
% 2.31/0.71 % (13303)Instructions burned: 37 (million)
% 2.31/0.71 % (13303)------------------------------
% 2.31/0.71 % (13303)------------------------------
% 2.31/0.72 % (13321)First to succeed.
% 2.31/0.72 % (13321)Refutation found. Thanks to Tanya!
% 2.31/0.72 % SZS status Theorem for theBenchmark
% 2.31/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.72 % (13321)------------------------------
% 2.31/0.72 % (13321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.72 % (13321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.72 % (13321)Termination reason: Refutation
% 2.31/0.72
% 2.31/0.72 % (13321)Memory used [KB]: 6140
% 2.31/0.72 % (13321)Time elapsed: 0.289 s
% 2.31/0.72 % (13321)Instructions burned: 27 (million)
% 2.31/0.72 % (13321)------------------------------
% 2.31/0.72 % (13321)------------------------------
% 2.31/0.72 % (13300)Success in time 0.352 s
%------------------------------------------------------------------------------