TSTP Solution File: SWV454+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n026.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 18:49:55 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 580 ( 250 equ)
% Maximal formula atoms : 98 ( 14 avg)
% Number of connectives : 871 ( 331 ~; 189 |; 285 &)
% ( 2 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 10 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 282 ( 238 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f407,plain,
$false,
inference(subsumption_resolution,[],[f402,f170]) ).
fof(f170,plain,
elem(m_Down(sK6),sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( queue(host(sK2)) = cons(m_Down(sK1),sK0)
& ! [X3,X4] :
( ~ leq(X3,X4)
| host(X3) != host(X4)
| setIn(X4,alive)
| ~ setIn(X3,alive) )
& ~ leq(host(sK2),host(sK1))
& ! [X5,X6] :
( ~ setIn(X5,alive)
| ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X7,X8] :
( host(X7) != host(X8)
| ~ elem(m_Down(X8),queue(host(X7))) )
& ( index(ldr,host(sK2)) != host(sK1)
| norm != index(status,host(sK2)) )
& setIn(sK2,alive)
& ! [X9,X10] :
( ~ leq(host(X10),host(X9))
| ~ elem(m_Halt(X9),queue(host(X10))) )
& ! [X11,X12] :
( ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| host(X11) != host(X12)
| X11 = X12 )
& ! [X13,X14,X15] :
( ~ leq(host(X15),host(X13))
| ~ elem(m_Ack(X13,X15),queue(host(X14))) )
& host(sK3) != s(host(sK2))
& host(sK3) = host(sK2)
& elem(m_Down(sK6),sK0)
& setIn(sK3,alive)
& elem(m_Down(sK4),queue(host(sK5)))
& host(sK3) != host(sK5)
& setIn(sK5,alive)
& host(sK6) = host(sK5)
& host(sK3) = host(sK4)
& host(sK5) != host(sK2)
& s(host(sK2)) != host(sK5)
& ~ leq(nbr_proc,host(sK2))
& ! [X20,X21] :
( ~ elem(m_Down(X20),queue(host(X21)))
| ~ setIn(X20,alive) )
& elec_1 = index(status,host(sK2))
& ! [X22] :
( ~ leq(s(zero),X22)
| leq(host(sK2),X22)
| setIn(X22,index(down,host(sK2)))
| host(sK1) = X22 )
& ( host(index(elid,host(sK2))) != host(sK1)
| wait != index(status,host(sK2)) )
& ! [X23,X24,X25,X26] :
( ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| host(X23) = host(X24)
| ~ elem(m_Down(X26),queue(host(X23)))
| ~ elem(m_Down(X25),queue(host(X24)))
| host(X24) != host(X26)
| host(X25) != host(X23) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f116,f120,f119,f118,f117]) ).
fof(f117,plain,
( ? [X0,X1,X2] :
( queue(host(X2)) = cons(m_Down(X1),X0)
& ! [X3,X4] :
( ~ leq(X3,X4)
| host(X3) != host(X4)
| setIn(X4,alive)
| ~ setIn(X3,alive) )
& ~ leq(host(X2),host(X1))
& ! [X5,X6] :
( ~ setIn(X5,alive)
| ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X7,X8] :
( host(X7) != host(X8)
| ~ elem(m_Down(X8),queue(host(X7))) )
& ( host(X1) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& setIn(X2,alive)
& ! [X9,X10] :
( ~ leq(host(X10),host(X9))
| ~ elem(m_Halt(X9),queue(host(X10))) )
& ! [X11,X12] :
( ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| host(X11) != host(X12)
| X11 = X12 )
& ! [X13,X14,X15] :
( ~ leq(host(X15),host(X13))
| ~ elem(m_Ack(X13,X15),queue(host(X14))) )
& ? [X16] :
( s(host(X2)) != host(X16)
& host(X2) = host(X16)
& ? [X17,X18] :
( ? [X19] :
( elem(m_Down(X19),X0)
& setIn(X16,alive)
& elem(m_Down(X17),queue(host(X18)))
& host(X16) != host(X18)
& setIn(X18,alive)
& host(X18) = host(X19)
& host(X17) = host(X16) )
& host(X2) != host(X18)
& s(host(X2)) != host(X18) ) )
& ~ leq(nbr_proc,host(X2))
& ! [X20,X21] :
( ~ elem(m_Down(X20),queue(host(X21)))
| ~ setIn(X20,alive) )
& elec_1 = index(status,host(X2))
& ! [X22] :
( ~ leq(s(zero),X22)
| leq(host(X2),X22)
| setIn(X22,index(down,host(X2)))
| host(X1) = X22 )
& ( host(X1) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ! [X23,X24,X25,X26] :
( ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| host(X23) = host(X24)
| ~ elem(m_Down(X26),queue(host(X23)))
| ~ elem(m_Down(X25),queue(host(X24)))
| host(X24) != host(X26)
| host(X25) != host(X23) ) )
=> ( queue(host(sK2)) = cons(m_Down(sK1),sK0)
& ! [X3,X4] :
( ~ leq(X3,X4)
| host(X3) != host(X4)
| setIn(X4,alive)
| ~ setIn(X3,alive) )
& ~ leq(host(sK2),host(sK1))
& ! [X5,X6] :
( ~ setIn(X5,alive)
| ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X7,X8] :
( host(X7) != host(X8)
| ~ elem(m_Down(X8),queue(host(X7))) )
& ( index(ldr,host(sK2)) != host(sK1)
| norm != index(status,host(sK2)) )
& setIn(sK2,alive)
& ! [X9,X10] :
( ~ leq(host(X10),host(X9))
| ~ elem(m_Halt(X9),queue(host(X10))) )
& ! [X11,X12] :
( ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| host(X11) != host(X12)
| X11 = X12 )
& ! [X13,X14,X15] :
( ~ leq(host(X15),host(X13))
| ~ elem(m_Ack(X13,X15),queue(host(X14))) )
& ? [X16] :
( host(X16) != s(host(sK2))
& host(X16) = host(sK2)
& ? [X18,X17] :
( ? [X19] :
( elem(m_Down(X19),sK0)
& setIn(X16,alive)
& elem(m_Down(X17),queue(host(X18)))
& host(X16) != host(X18)
& setIn(X18,alive)
& host(X18) = host(X19)
& host(X17) = host(X16) )
& host(X18) != host(sK2)
& host(X18) != s(host(sK2)) ) )
& ~ leq(nbr_proc,host(sK2))
& ! [X20,X21] :
( ~ elem(m_Down(X20),queue(host(X21)))
| ~ setIn(X20,alive) )
& elec_1 = index(status,host(sK2))
& ! [X22] :
( ~ leq(s(zero),X22)
| leq(host(sK2),X22)
| setIn(X22,index(down,host(sK2)))
| host(sK1) = X22 )
& ( host(index(elid,host(sK2))) != host(sK1)
| wait != index(status,host(sK2)) )
& ! [X23,X24,X25,X26] :
( ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| host(X23) = host(X24)
| ~ elem(m_Down(X26),queue(host(X23)))
| ~ elem(m_Down(X25),queue(host(X24)))
| host(X24) != host(X26)
| host(X25) != host(X23) ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X16] :
( host(X16) != s(host(sK2))
& host(X16) = host(sK2)
& ? [X18,X17] :
( ? [X19] :
( elem(m_Down(X19),sK0)
& setIn(X16,alive)
& elem(m_Down(X17),queue(host(X18)))
& host(X16) != host(X18)
& setIn(X18,alive)
& host(X18) = host(X19)
& host(X17) = host(X16) )
& host(X18) != host(sK2)
& host(X18) != s(host(sK2)) ) )
=> ( host(sK3) != s(host(sK2))
& host(sK3) = host(sK2)
& ? [X18,X17] :
( ? [X19] :
( elem(m_Down(X19),sK0)
& setIn(sK3,alive)
& elem(m_Down(X17),queue(host(X18)))
& host(X18) != host(sK3)
& setIn(X18,alive)
& host(X18) = host(X19)
& host(X17) = host(sK3) )
& host(X18) != host(sK2)
& host(X18) != s(host(sK2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ? [X18,X17] :
( ? [X19] :
( elem(m_Down(X19),sK0)
& setIn(sK3,alive)
& elem(m_Down(X17),queue(host(X18)))
& host(X18) != host(sK3)
& setIn(X18,alive)
& host(X18) = host(X19)
& host(X17) = host(sK3) )
& host(X18) != host(sK2)
& host(X18) != s(host(sK2)) )
=> ( ? [X19] :
( elem(m_Down(X19),sK0)
& setIn(sK3,alive)
& elem(m_Down(sK4),queue(host(sK5)))
& host(sK3) != host(sK5)
& setIn(sK5,alive)
& host(X19) = host(sK5)
& host(sK3) = host(sK4) )
& host(sK5) != host(sK2)
& s(host(sK2)) != host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X19] :
( elem(m_Down(X19),sK0)
& setIn(sK3,alive)
& elem(m_Down(sK4),queue(host(sK5)))
& host(sK3) != host(sK5)
& setIn(sK5,alive)
& host(X19) = host(sK5)
& host(sK3) = host(sK4) )
=> ( elem(m_Down(sK6),sK0)
& setIn(sK3,alive)
& elem(m_Down(sK4),queue(host(sK5)))
& host(sK3) != host(sK5)
& setIn(sK5,alive)
& host(sK6) = host(sK5)
& host(sK3) = host(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0,X1,X2] :
( queue(host(X2)) = cons(m_Down(X1),X0)
& ! [X3,X4] :
( ~ leq(X3,X4)
| host(X3) != host(X4)
| setIn(X4,alive)
| ~ setIn(X3,alive) )
& ~ leq(host(X2),host(X1))
& ! [X5,X6] :
( ~ setIn(X5,alive)
| ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X7,X8] :
( host(X7) != host(X8)
| ~ elem(m_Down(X8),queue(host(X7))) )
& ( host(X1) != index(ldr,host(X2))
| norm != index(status,host(X2)) )
& setIn(X2,alive)
& ! [X9,X10] :
( ~ leq(host(X10),host(X9))
| ~ elem(m_Halt(X9),queue(host(X10))) )
& ! [X11,X12] :
( ~ setIn(X11,alive)
| ~ setIn(X12,alive)
| host(X11) != host(X12)
| X11 = X12 )
& ! [X13,X14,X15] :
( ~ leq(host(X15),host(X13))
| ~ elem(m_Ack(X13,X15),queue(host(X14))) )
& ? [X16] :
( s(host(X2)) != host(X16)
& host(X2) = host(X16)
& ? [X17,X18] :
( ? [X19] :
( elem(m_Down(X19),X0)
& setIn(X16,alive)
& elem(m_Down(X17),queue(host(X18)))
& host(X16) != host(X18)
& setIn(X18,alive)
& host(X18) = host(X19)
& host(X17) = host(X16) )
& host(X2) != host(X18)
& s(host(X2)) != host(X18) ) )
& ~ leq(nbr_proc,host(X2))
& ! [X20,X21] :
( ~ elem(m_Down(X20),queue(host(X21)))
| ~ setIn(X20,alive) )
& elec_1 = index(status,host(X2))
& ! [X22] :
( ~ leq(s(zero),X22)
| leq(host(X2),X22)
| setIn(X22,index(down,host(X2)))
| host(X1) = X22 )
& ( host(X1) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ! [X23,X24,X25,X26] :
( ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| host(X23) = host(X24)
| ~ elem(m_Down(X26),queue(host(X23)))
| ~ elem(m_Down(X25),queue(host(X24)))
| host(X24) != host(X26)
| host(X25) != host(X23) ) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
? [X0,X2,X1] :
( queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X15,X14] :
( ~ leq(X15,X14)
| host(X14) != host(X15)
| setIn(X14,alive)
| ~ setIn(X15,alive) )
& ~ leq(host(X1),host(X2))
& ! [X19,X18] :
( ~ setIn(X19,alive)
| ~ elem(m_Down(X19),queue(host(X18))) )
& ! [X13,X12] :
( host(X13) != host(X12)
| ~ elem(m_Down(X12),queue(host(X13))) )
& ( host(X2) != index(ldr,host(X1))
| norm != index(status,host(X1)) )
& setIn(X1,alive)
& ! [X5,X4] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Halt(X5),queue(host(X4))) )
& ! [X11,X10] :
( ~ setIn(X11,alive)
| ~ setIn(X10,alive)
| host(X11) != host(X10)
| X10 = X11 )
& ! [X21,X20,X22] :
( ~ leq(host(X22),host(X21))
| ~ elem(m_Ack(X21,X22),queue(host(X20))) )
& ? [X24] :
( host(X24) != s(host(X1))
& host(X1) = host(X24)
& ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),X0)
& setIn(X24,alive)
& elem(m_Down(X25),queue(host(X26)))
& host(X24) != host(X26)
& setIn(X26,alive)
& host(X27) = host(X26)
& host(X25) = host(X24) )
& host(X1) != host(X26)
& host(X26) != s(host(X1)) ) )
& ~ leq(nbr_proc,host(X1))
& ! [X17,X16] :
( ~ elem(m_Down(X17),queue(host(X16)))
| ~ setIn(X17,alive) )
& elec_1 = index(status,host(X1))
& ! [X23] :
( ~ leq(s(zero),X23)
| leq(host(X1),X23)
| setIn(X23,index(down,host(X1)))
| host(X2) = X23 )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ! [X6,X9,X8,X7] :
( ~ setIn(X9,alive)
| ~ setIn(X6,alive)
| host(X6) = host(X9)
| ~ elem(m_Down(X7),queue(host(X6)))
| ~ elem(m_Down(X8),queue(host(X9)))
| host(X9) != host(X7)
| host(X6) != host(X8) ) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X1,X0,X2] :
( ? [X24] :
( ? [X26,X25] :
( ? [X27] :
( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X0)
& setIn(X26,alive)
& host(X24) != host(X26)
& setIn(X24,alive)
& host(X25) = host(X24)
& host(X27) = host(X26) )
& host(X1) != host(X26)
& host(X26) != s(host(X1)) )
& host(X1) = host(X24)
& host(X24) != s(host(X1)) )
& ~ leq(nbr_proc,host(X1))
& elec_1 = index(status,host(X1))
& ! [X23] :
( host(X2) = X23
| setIn(X23,index(down,host(X1)))
| ~ leq(s(zero),X23)
| leq(host(X1),X23) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( host(X2) != index(ldr,host(X1))
| norm != index(status,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& ! [X15,X14] :
( ~ setIn(X15,alive)
| setIn(X14,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14) )
& ! [X5,X4] :
( ~ leq(host(X4),host(X5))
| ~ elem(m_Halt(X5),queue(host(X4))) )
& ! [X13,X12] :
( host(X13) != host(X12)
| ~ elem(m_Down(X12),queue(host(X13))) )
& ! [X19,X18] :
( ~ setIn(X19,alive)
| ~ elem(m_Down(X19),queue(host(X18))) )
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X17,X16] :
( ~ elem(m_Down(X17),queue(host(X16)))
| ~ setIn(X17,alive) )
& ! [X7,X9,X6,X8] :
( ~ elem(m_Down(X7),queue(host(X6)))
| ~ elem(m_Down(X8),queue(host(X9)))
| host(X6) = host(X9)
| ~ setIn(X9,alive)
| host(X6) != host(X8)
| host(X9) != host(X7)
| ~ setIn(X6,alive) )
& ! [X10,X11] :
( ~ setIn(X10,alive)
| ~ setIn(X11,alive)
| X10 = X11
| host(X11) != host(X10) )
& ! [X21,X20,X22] :
( ~ leq(host(X22),host(X21))
| ~ elem(m_Ack(X21,X22),queue(host(X20))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X1,X0,X2] :
( ( ! [X15,X14] :
( ( ~ setIn(X14,alive)
& host(X14) = host(X15)
& leq(X15,X14) )
=> ~ setIn(X15,alive) )
& ! [X4,X5] :
( elem(m_Halt(X5),queue(host(X4)))
=> ~ leq(host(X4),host(X5)) )
& ! [X13,X12] :
( elem(m_Down(X12),queue(host(X13)))
=> host(X13) != host(X12) )
& ! [X18,X19] :
( setIn(X19,alive)
=> ~ elem(m_Down(X19),queue(host(X18))) )
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X17,X16] :
( elem(m_Down(X17),queue(host(X16)))
=> ~ setIn(X17,alive) )
& ! [X7,X9,X6,X8] :
( ( host(X6) != host(X9)
& setIn(X9,alive)
& host(X6) = host(X8)
& host(X9) = host(X7)
& setIn(X6,alive) )
=> ~ ( elem(m_Down(X7),queue(host(X6)))
& elem(m_Down(X8),queue(host(X9))) ) )
& ! [X10,X11] :
( ( X10 != X11
& host(X11) = host(X10) )
=> ( ~ setIn(X10,alive)
| ~ setIn(X11,alive) ) )
& ! [X21,X20,X22] :
( elem(m_Ack(X21,X22),queue(host(X20)))
=> ~ leq(host(X22),host(X21)) ) )
=> ( setIn(X1,alive)
=> ( ~ leq(host(X1),host(X2))
=> ( ~ ( ( wait = index(status,host(X1))
& host(X2) = host(index(elid,host(X1))) )
| ( host(X2) = index(ldr,host(X1))
& norm = index(status,host(X1)) ) )
=> ( ( elec_1 = index(status,host(X1))
& ! [X23] :
( ( leq(s(zero),X23)
& ~ leq(host(X1),X23) )
=> ( host(X2) = X23
| setIn(X23,index(down,host(X1))) ) ) )
=> ( ~ leq(nbr_proc,host(X1))
=> ! [X24] :
( host(X24) != s(host(X1))
=> ( host(X1) = host(X24)
=> ! [X26,X25] :
( host(X26) != s(host(X1))
=> ( host(X1) != host(X26)
=> ! [X27] :
( ( setIn(X26,alive)
& host(X24) != host(X26)
& setIn(X24,alive)
& host(X25) = host(X24)
& host(X27) = host(X26) )
=> ~ ( elem(m_Down(X25),queue(host(X26)))
& elem(m_Down(X27),X0) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X4,X5,X12] :
( ( ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13,X15,X14] :
( ( host(X6) = host(X15)
& host(X6) != host(X14)
& setIn(X6,alive)
& setIn(X14,alive)
& host(X13) = host(X14) )
=> ~ ( elem(m_Down(X13),queue(host(X6)))
& elem(m_Down(X15),queue(host(X14))) ) )
& ! [X6,X13] :
( ( X6 != X13
& host(X6) = host(X13) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X13,X6] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( ( leq(X13,X6)
& ~ setIn(X6,alive)
& host(X6) = host(X13) )
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) )
& ! [X14,X13,X6] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = index(ldr,host(X4))
& norm = index(status,host(X4)) )
| ( wait = index(status,host(X4))
& host(X5) = host(index(elid,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(X16)
& setIn(X6,alive)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X16),queue(host(X17)))
& elem(m_Down(X18),X11) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X4,X5,X12] :
( ( ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13,X15,X14] :
( ( host(X6) = host(X15)
& host(X6) != host(X14)
& setIn(X6,alive)
& setIn(X14,alive)
& host(X13) = host(X14) )
=> ~ ( elem(m_Down(X13),queue(host(X6)))
& elem(m_Down(X15),queue(host(X14))) ) )
& ! [X6,X13] :
( ( X6 != X13
& host(X6) = host(X13) )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X13,X6] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( ( leq(X13,X6)
& ~ setIn(X6,alive)
& host(X6) = host(X13) )
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) )
& ! [X14,X13,X6] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = index(ldr,host(X4))
& norm = index(status,host(X4)) )
| ( wait = index(status,host(X4))
& host(X5) = host(index(elid,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(X16)
& setIn(X6,alive)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X16),queue(host(X17)))
& elem(m_Down(X18),X11) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f402,plain,
~ elem(m_Down(sK6),sK0),
inference(resolution,[],[f400,f344]) ).
fof(f344,plain,
~ elem(m_Down(sK6),queue(host(sK2))),
inference(subsumption_resolution,[],[f342,f176]) ).
fof(f176,plain,
setIn(sK2,alive),
inference(cnf_transformation,[],[f121]) ).
fof(f342,plain,
( ~ setIn(sK2,alive)
| ~ elem(m_Down(sK6),queue(host(sK2))) ),
inference(equality_resolution,[],[f339]) ).
fof(f339,plain,
! [X0] :
( host(X0) != host(sK2)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(subsumption_resolution,[],[f338,f240]) ).
fof(f240,plain,
! [X0] :
( host(X0) != host(sK5)
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(superposition,[],[f178,f165]) ).
fof(f165,plain,
host(sK6) = host(sK5),
inference(cnf_transformation,[],[f121]) ).
fof(f178,plain,
! [X8,X7] :
( host(X7) != host(X8)
| ~ elem(m_Down(X8),queue(host(X7))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f338,plain,
! [X0] :
( host(X0) = host(sK5)
| ~ setIn(X0,alive)
| host(X0) != host(sK2)
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(subsumption_resolution,[],[f337,f168]) ).
fof(f168,plain,
elem(m_Down(sK4),queue(host(sK5))),
inference(cnf_transformation,[],[f121]) ).
fof(f337,plain,
! [X0] :
( ~ elem(m_Down(sK6),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK4),queue(host(sK5)))
| host(X0) = host(sK5)
| host(X0) != host(sK2) ),
inference(subsumption_resolution,[],[f335,f166]) ).
fof(f166,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f121]) ).
fof(f335,plain,
! [X0] :
( ~ setIn(X0,alive)
| ~ setIn(sK5,alive)
| host(X0) = host(sK5)
| ~ elem(m_Down(sK4),queue(host(sK5)))
| host(X0) != host(sK2)
| ~ elem(m_Down(sK6),queue(host(X0))) ),
inference(equality_resolution,[],[f324]) ).
fof(f324,plain,
! [X2,X3] :
( host(X3) != host(sK5)
| ~ elem(m_Down(sK6),queue(host(X2)))
| ~ setIn(X2,alive)
| host(X2) = host(X3)
| ~ setIn(X3,alive)
| host(X2) != host(sK2)
| ~ elem(m_Down(sK4),queue(host(X3))) ),
inference(superposition,[],[f318,f226]) ).
fof(f226,plain,
host(sK2) = host(sK4),
inference(backward_demodulation,[],[f164,f171]) ).
fof(f171,plain,
host(sK3) = host(sK2),
inference(cnf_transformation,[],[f121]) ).
fof(f164,plain,
host(sK3) = host(sK4),
inference(cnf_transformation,[],[f121]) ).
fof(f318,plain,
! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK6),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) != host(sK5)
| host(X0) = host(X1) ),
inference(superposition,[],[f156,f165]) ).
fof(f156,plain,
! [X26,X24,X25,X23] :
( host(X25) != host(X23)
| ~ elem(m_Down(X25),queue(host(X24)))
| ~ setIn(X23,alive)
| host(X24) != host(X26)
| ~ setIn(X24,alive)
| host(X23) = host(X24)
| ~ elem(m_Down(X26),queue(host(X23))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f400,plain,
! [X0] :
( elem(X0,queue(host(sK2)))
| ~ elem(X0,sK0) ),
inference(superposition,[],[f190,f182]) ).
fof(f182,plain,
queue(host(sK2)) = cons(m_Down(sK1),sK0),
inference(cnf_transformation,[],[f121]) ).
fof(f190,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X0 = X1
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ( elem(X2,cons(X0,X1))
| ( X0 != X2
& ~ elem(X2,X1) ) )
& ( X0 = X2
| elem(X2,X1)
| ~ elem(X2,cons(X0,X1)) ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ( elem(X2,cons(X0,X1))
| ( X0 != X2
& ~ elem(X2,X1) ) )
& ( X0 = X2
| elem(X2,X1)
| ~ elem(X2,cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( elem(X2,cons(X0,X1))
<=> ( X0 = X2
| elem(X2,X1) ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X5,X3,X4] :
( elem(X4,cons(X5,X3))
<=> ( X4 = X5
| elem(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV454+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:44:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (19780)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (19768)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (19756)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.50 % (19754)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.51 % (19764)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (19755)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.51 % (19778)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.51 % (19765)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (19765)Instruction limit reached!
% 0.18/0.52 % (19765)------------------------------
% 0.18/0.52 % (19765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (19765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (19765)Termination reason: Unknown
% 0.18/0.52 % (19765)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (19765)Memory used [KB]: 6140
% 0.18/0.52 % (19765)Time elapsed: 0.006 s
% 0.18/0.52 % (19765)Instructions burned: 8 (million)
% 0.18/0.52 % (19765)------------------------------
% 0.18/0.52 % (19765)------------------------------
% 0.18/0.52 % (19754)First to succeed.
% 0.18/0.52 % (19754)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (19754)------------------------------
% 0.18/0.52 % (19754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (19754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (19754)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (19754)Memory used [KB]: 6268
% 0.18/0.52 % (19754)Time elapsed: 0.108 s
% 0.18/0.52 % (19754)Instructions burned: 14 (million)
% 0.18/0.52 % (19754)------------------------------
% 0.18/0.52 % (19754)------------------------------
% 0.18/0.52 % (19747)Success in time 0.181 s
%------------------------------------------------------------------------------