TSTP Solution File: SWV455+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWV455+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 : Mon Jun 24 17:42:59 EDT 2024
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 546 ( 232 equ)
% Maximal formula atoms : 92 ( 14 avg)
% Number of connectives : 822 ( 315 ~; 172 |; 277 &)
% ( 2 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 9 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 : 279 ( 229 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f559,plain,
$false,
inference(subsumption_resolution,[],[f555,f199]) ).
fof(f199,plain,
host(sK3) = host(sK4),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( elem(m_Down(sK6),queue(host(sK3)))
& elem(m_Down(sK4),sK0)
& host(sK5) = host(sK6)
& host(sK3) = host(sK4)
& setIn(sK5,alive)
& setIn(sK3,alive)
& host(sK3) != host(sK5)
& host(sK1) = host(sK5)
& host(sK1) != host(sK3)
& ( elec_1 != index(status,host(sK1))
| ( host(sK2) != sK7
& ~ setIn(sK7,index(down,host(sK1)))
& leq(s(zero),sK7)
& ~ leq(host(sK1),sK7) ) )
& ( host(sK2) != host(index(elid,host(sK1)))
| wait != index(status,host(sK1)) )
& ( norm != index(status,host(sK1))
| host(sK2) != index(ldr,host(sK1)) )
& ~ leq(host(sK1),host(sK2))
& setIn(sK1,alive)
& queue(host(sK1)) = cons(m_Down(sK2),sK0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f142,f147,f146,f145,f144,f143]) ).
fof(f143,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( ? [X6] :
( elem(m_Down(X6),queue(host(X3)))
& elem(m_Down(X4),X0)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X1) = host(X5) )
& host(X3) != host(X1) )
& ( elec_1 != index(status,host(X1))
| ? [X7] :
( host(X2) != X7
& ~ setIn(X7,index(down,host(X1)))
& leq(s(zero),X7)
& ~ leq(host(X1),X7) ) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) )
=> ( ? [X3] :
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X6),queue(host(X3)))
& elem(m_Down(X4),sK0)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X5) = host(sK1) )
& host(X3) != host(sK1) )
& ( elec_1 != index(status,host(sK1))
| ? [X7] :
( host(sK2) != X7
& ~ setIn(X7,index(down,host(sK1)))
& leq(s(zero),X7)
& ~ leq(host(sK1),X7) ) )
& ( host(sK2) != host(index(elid,host(sK1)))
| wait != index(status,host(sK1)) )
& ( norm != index(status,host(sK1))
| host(sK2) != index(ldr,host(sK1)) )
& ~ leq(host(sK1),host(sK2))
& setIn(sK1,alive)
& queue(host(sK1)) = cons(m_Down(sK2),sK0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X3] :
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X6),queue(host(X3)))
& elem(m_Down(X4),sK0)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X5) = host(sK1) )
& host(X3) != host(sK1) )
=> ( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X6),queue(host(sK3)))
& elem(m_Down(X4),sK0)
& host(X5) = host(X6)
& host(X4) = host(sK3)
& setIn(X5,alive)
& setIn(sK3,alive)
& host(X5) != host(sK3) )
& host(X5) = host(sK1) )
& host(sK1) != host(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X6),queue(host(sK3)))
& elem(m_Down(X4),sK0)
& host(X5) = host(X6)
& host(X4) = host(sK3)
& setIn(X5,alive)
& setIn(sK3,alive)
& host(X5) != host(sK3) )
& host(X5) = host(sK1) )
=> ( ? [X6] :
( elem(m_Down(X6),queue(host(sK3)))
& elem(m_Down(sK4),sK0)
& host(X6) = host(sK5)
& host(sK3) = host(sK4)
& setIn(sK5,alive)
& setIn(sK3,alive)
& host(sK3) != host(sK5) )
& host(sK1) = host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X6] :
( elem(m_Down(X6),queue(host(sK3)))
& elem(m_Down(sK4),sK0)
& host(X6) = host(sK5)
& host(sK3) = host(sK4)
& setIn(sK5,alive)
& setIn(sK3,alive)
& host(sK3) != host(sK5) )
=> ( elem(m_Down(sK6),queue(host(sK3)))
& elem(m_Down(sK4),sK0)
& host(sK5) = host(sK6)
& host(sK3) = host(sK4)
& setIn(sK5,alive)
& setIn(sK3,alive)
& host(sK3) != host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X7] :
( host(sK2) != X7
& ~ setIn(X7,index(down,host(sK1)))
& leq(s(zero),X7)
& ~ leq(host(sK1),X7) )
=> ( host(sK2) != sK7
& ~ setIn(sK7,index(down,host(sK1)))
& leq(s(zero),sK7)
& ~ leq(host(sK1),sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( ? [X6] :
( elem(m_Down(X6),queue(host(X3)))
& elem(m_Down(X4),X0)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X1) = host(X5) )
& host(X3) != host(X1) )
& ( elec_1 != index(status,host(X1))
| ? [X7] :
( host(X2) != X7
& ~ setIn(X7,index(down,host(X1)))
& leq(s(zero),X7)
& ~ leq(host(X1),X7) ) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
& host(X2) = host(X26) )
& host(X2) != host(X24) )
& ( elec_1 != index(status,host(X2))
| ? [X23] :
( host(X3) != X23
& ~ setIn(X23,index(down,host(X2)))
& leq(s(zero),X23)
& ~ leq(host(X2),X23) ) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
& host(X2) = host(X26) )
& host(X2) != host(X24) )
& ( elec_1 != index(status,host(X2))
| ? [X23] :
( host(X3) != X23
& ~ setIn(X23,index(down,host(X2)))
& leq(s(zero),X23)
& ~ leq(host(X2),X23) ) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ( host(X6) = host(X7)
& host(X4) = host(X5)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X4) != host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X8,X9] :
( ( host(X8) = host(X9)
& X8 != X9 )
=> ( ~ setIn(X9,alive)
| ~ setIn(X8,alive) ) )
& ! [X10,X11] :
( ( host(X10) = host(X11)
& leq(X11,X10)
& ~ setIn(X10,alive) )
=> ~ setIn(X11,alive) )
& ! [X12,X13,X14] :
( elem(m_Ack(X14,X12),queue(host(X13)))
=> ~ leq(host(X12),host(X14)) )
& ! [X15,X16] :
( elem(m_Halt(X16),queue(host(X15)))
=> ~ leq(host(X15),host(X16)) )
& ! [X17,X18] :
( elem(m_Down(X18),queue(host(X17)))
=> host(X17) != host(X18) )
& ! [X19,X20] :
( elem(m_Down(X20),queue(host(X19)))
=> ~ setIn(X20,alive) )
& ! [X21,X22] :
( setIn(X22,alive)
=> ~ elem(m_Down(X22),queue(host(X21))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ~ ( elec_1 = index(status,host(X2))
& ! [X23] :
( ( leq(s(zero),X23)
& ~ leq(host(X2),X23) )
=> ( host(X3) = X23
| setIn(X23,index(down,host(X2))) ) ) )
=> ! [X24] :
( host(X2) != host(X24)
=> ! [X25,X26] :
( host(X2) = host(X26)
=> ! [X27] :
( ( host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
=> ~ ( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [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,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ~ ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16,X17] :
( host(X4) = host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& setIn(X17,alive)
& setIn(X6,alive)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X18),queue(host(X6)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [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,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ~ ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16,X17] :
( host(X4) = host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& setIn(X17,alive)
& setIn(X6,alive)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X18),queue(host(X6)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f555,plain,
host(sK3) != host(sK4),
inference(resolution,[],[f536,f408]) ).
fof(f408,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| host(X0) != host(sK3) ),
inference(subsumption_resolution,[],[f407,f194]) ).
fof(f194,plain,
host(sK1) != host(sK3),
inference(cnf_transformation,[],[f148]) ).
fof(f407,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| host(X0) != host(sK3)
| host(sK1) = host(sK3) ),
inference(subsumption_resolution,[],[f406,f198]) ).
fof(f198,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f148]) ).
fof(f406,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| host(X0) != host(sK3)
| ~ setIn(sK5,alive)
| host(sK1) = host(sK3) ),
inference(trivial_inequality_removal,[],[f403]) ).
fof(f403,plain,
! [X0] :
( host(sK1) != host(sK1)
| ~ elem(m_Down(X0),queue(host(sK1)))
| host(X0) != host(sK3)
| ~ setIn(sK5,alive)
| host(sK1) = host(sK3) ),
inference(superposition,[],[f385,f195]) ).
fof(f195,plain,
host(sK1) = host(sK5),
inference(cnf_transformation,[],[f148]) ).
fof(f385,plain,
! [X0,X1] :
( host(X1) != host(sK1)
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK3)
| ~ setIn(X1,alive)
| host(X1) = host(sK3) ),
inference(forward_demodulation,[],[f384,f195]) ).
fof(f384,plain,
! [X0,X1] :
( host(X1) != host(sK5)
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK3)
| ~ setIn(X1,alive)
| host(X1) = host(sK3) ),
inference(forward_demodulation,[],[f383,f200]) ).
fof(f200,plain,
host(sK5) = host(sK6),
inference(cnf_transformation,[],[f148]) ).
fof(f383,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK3)
| host(X1) != host(sK6)
| ~ setIn(X1,alive)
| host(X1) = host(sK3) ),
inference(subsumption_resolution,[],[f379,f197]) ).
fof(f197,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f148]) ).
fof(f379,plain,
! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK3)
| host(X1) != host(sK6)
| ~ setIn(sK3,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK3) ),
inference(resolution,[],[f184,f202]) ).
fof(f202,plain,
elem(m_Down(sK6),queue(host(sK3))),
inference(cnf_transformation,[],[f148]) ).
fof(f184,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) ),
inference(cnf_transformation,[],[f148]) ).
fof(f536,plain,
elem(m_Down(sK4),queue(host(sK1))),
inference(resolution,[],[f535,f201]) ).
fof(f201,plain,
elem(m_Down(sK4),sK0),
inference(cnf_transformation,[],[f148]) ).
fof(f535,plain,
! [X0] :
( ~ elem(X0,sK0)
| elem(X0,queue(host(sK1))) ),
inference(superposition,[],[f296,f185]) ).
fof(f185,plain,
queue(host(sK1)) = cons(m_Down(sK2),sK0),
inference(cnf_transformation,[],[f148]) ).
fof(f296,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,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,[],[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(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/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV455+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n021.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 : Thu Jun 20 14:43:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 % (20284)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (20288)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.42 % (20284)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (20289)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.20/0.43 % (20284)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20286)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.20/0.43 % (20284)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20290)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.20/0.43 % (20284)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20287)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.20/0.43 % (20284)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (20291)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.20/0.44 % (20289)First to succeed.
% 0.20/0.44 % (20289)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20284"
% 0.20/0.45 % (20284)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.45 % (20289)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45 % (20289)------------------------------
% 0.20/0.45 % (20289)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.45 % (20289)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.45 % (20289)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (20289)Memory used [KB]: 1429
% 0.20/0.45 % (20289)Time elapsed: 0.024 s
% 0.20/0.45 % (20289)Instructions burned: 36 (million)
% 0.20/0.45 % (20289)------------------------------
% 0.20/0.45 % (20289)------------------------------
% 0.20/0.45 % (20284)Success in time 0.066 s
%------------------------------------------------------------------------------