TSTP Solution File: SWV451+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV451+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 : Sun May 5 10:58:08 EDT 2024
% Result : Theorem 6.77s 1.35s
% Output : Refutation 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 60
% Syntax : Number of formulae : 278 ( 44 unt; 0 def)
% Number of atoms : 1205 ( 412 equ)
% Maximal formula atoms : 102 ( 4 avg)
% Number of connectives : 1478 ( 551 ~; 443 |; 359 &)
% ( 56 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 41 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 16 con; 0-2 aty)
% Number of variables : 438 ( 390 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24806,plain,
$false,
inference(avatar_sat_refutation,[],[f349,f354,f356,f365,f414,f1249,f1260,f1279,f1499,f1580,f1630,f2546,f2875,f2909,f3783,f3852,f3952,f5643,f5740,f5743,f5825,f5827,f6080,f6221,f12654,f13626,f16955,f24805]) ).
fof(f24805,plain,
~ spl13_1,
inference(avatar_contradiction_clause,[],[f24804]) ).
fof(f24804,plain,
( $false
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f24803,f211]) ).
fof(f211,plain,
elem(m_Down(sK7),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( elem(m_Down(sK9),snoc(queue(host(sK6)),m_Halt(sK3)))
& elem(m_Down(sK7),sK2)
& host(sK8) = host(sK9)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK5 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK5 != sK6 ) )
& host(sK5) = host(sK8)
& s(host(sK3)) != host(sK8)
& host(sK5) != host(sK6)
& s(host(sK3)) = host(sK6)
& ~ leq(nbr_proc,host(sK3))
& s(zero) = host(sK3)
& host(sK5) = host(sK3)
& ~ setIn(sK3,pids)
& ! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK5) )
& sK4 = index(elid,host(sK5))
& norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& queue(host(sK5)) = cons(m_NotNorm(sK4),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f146,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6] :
( ? [X7] :
( elem(m_Down(X7),snoc(queue(host(X4)),m_Halt(X1)))
& elem(m_Down(X5),X0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( X1 = X6
| ( setIn(X6,alive)
& X3 != X6 ) )
& ( X1 = X4
| ( setIn(X4,alive)
& X3 != X4 ) ) )
& host(X3) = host(X6)
& host(X6) != s(host(X1)) )
& host(X3) != host(X4)
& host(X4) = s(host(X1)) )
& ~ leq(nbr_proc,host(X1))
& s(zero) = host(X1)
& host(X3) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( leq(X8,X1)
| host(X3) != host(X8) )
& index(elid,host(X3)) = X2
& norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& queue(host(X3)) = cons(m_NotNorm(X2),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) )
=> ( ? [X4] :
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X7),snoc(queue(host(X4)),m_Halt(sK3)))
& elem(m_Down(X5),sK2)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK5 != X6 ) )
& ( sK3 = X4
| ( setIn(X4,alive)
& sK5 != X4 ) ) )
& host(X6) = host(sK5)
& host(X6) != s(host(sK3)) )
& host(X4) != host(sK5)
& host(X4) = s(host(sK3)) )
& ~ leq(nbr_proc,host(sK3))
& s(zero) = host(sK3)
& host(sK5) = host(sK3)
& ~ setIn(sK3,pids)
& ! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK5) )
& sK4 = index(elid,host(sK5))
& norm = index(status,host(sK5))
& host(sK5) = index(ldr,host(sK5))
& setIn(sK5,alive)
& queue(host(sK5)) = cons(m_NotNorm(sK4),sK2)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X4] :
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X7),snoc(queue(host(X4)),m_Halt(sK3)))
& elem(m_Down(X5),sK2)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK5 != X6 ) )
& ( sK3 = X4
| ( setIn(X4,alive)
& sK5 != X4 ) ) )
& host(X6) = host(sK5)
& host(X6) != s(host(sK3)) )
& host(X4) != host(sK5)
& host(X4) = s(host(sK3)) )
=> ( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X7),snoc(queue(host(sK6)),m_Halt(sK3)))
& elem(m_Down(X5),sK2)
& host(X6) = host(X7)
& host(X5) = host(sK6)
& host(X6) != host(sK6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK5 != X6 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK5 != sK6 ) ) )
& host(X6) = host(sK5)
& host(X6) != s(host(sK3)) )
& host(sK5) != host(sK6)
& s(host(sK3)) = host(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X6,X5] :
( ? [X7] :
( elem(m_Down(X7),snoc(queue(host(sK6)),m_Halt(sK3)))
& elem(m_Down(X5),sK2)
& host(X6) = host(X7)
& host(X5) = host(sK6)
& host(X6) != host(sK6)
& ( sK3 = X6
| ( setIn(X6,alive)
& sK5 != X6 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK5 != sK6 ) ) )
& host(X6) = host(sK5)
& host(X6) != s(host(sK3)) )
=> ( ? [X7] :
( elem(m_Down(X7),snoc(queue(host(sK6)),m_Halt(sK3)))
& elem(m_Down(sK7),sK2)
& host(X7) = host(sK8)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK5 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK5 != sK6 ) ) )
& host(sK5) = host(sK8)
& s(host(sK3)) != host(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X7] :
( elem(m_Down(X7),snoc(queue(host(sK6)),m_Halt(sK3)))
& elem(m_Down(sK7),sK2)
& host(X7) = host(sK8)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK5 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK5 != sK6 ) ) )
=> ( elem(m_Down(sK9),snoc(queue(host(sK6)),m_Halt(sK3)))
& elem(m_Down(sK7),sK2)
& host(sK8) = host(sK9)
& host(sK6) = host(sK7)
& host(sK6) != host(sK8)
& ( sK3 = sK8
| ( setIn(sK8,alive)
& sK5 != sK8 ) )
& ( sK3 = sK6
| ( setIn(sK6,alive)
& sK5 != sK6 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6] :
( ? [X7] :
( elem(m_Down(X7),snoc(queue(host(X4)),m_Halt(X1)))
& elem(m_Down(X5),X0)
& host(X6) = host(X7)
& host(X4) = host(X5)
& host(X4) != host(X6)
& ( X1 = X6
| ( setIn(X6,alive)
& X3 != X6 ) )
& ( X1 = X4
| ( setIn(X4,alive)
& X3 != X4 ) ) )
& host(X3) = host(X6)
& host(X6) != s(host(X1)) )
& host(X3) != host(X4)
& host(X4) = s(host(X1)) )
& ~ leq(nbr_proc,host(X1))
& s(zero) = host(X1)
& host(X3) = host(X1)
& ~ setIn(X1,pids)
& ! [X8] :
( leq(X8,X1)
| host(X3) != host(X8) )
& index(elid,host(X3)) = X2
& norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& queue(host(X3)) = cons(m_NotNorm(X2),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) )
& ! [X13,X14] :
( ~ setIn(X14,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X14)
| X13 = X14 )
& ! [X15,X16] :
( ~ setIn(X16,alive)
| host(X15) != host(X16)
| ~ leq(X16,X15)
| setIn(X15,alive) )
& ! [X17,X18,X19] :
( ~ leq(host(X17),host(X19))
| ~ elem(m_Ack(X19,X17),queue(host(X18))) )
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Halt(X21),queue(host(X20))) )
& ! [X22,X23] :
( host(X23) != host(X22)
| ~ elem(m_Down(X23),queue(host(X22))) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ elem(m_Down(X25),queue(host(X24))) )
& ! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),snoc(queue(host(X24)),m_Halt(X1)))
& elem(m_Down(X25),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X3 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X3 != X24 ) ) )
& host(X3) = host(X26)
& s(host(X1)) != host(X26) )
& host(X3) != host(X24)
& host(X24) = s(host(X1)) )
& ~ leq(nbr_proc,host(X1))
& s(zero) = host(X1)
& host(X3) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( leq(X23,X1)
| host(X3) != host(X23) )
& index(elid,host(X3)) = X2
& norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& queue(host(X3)) = cons(m_NotNorm(X2),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,X1,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),snoc(queue(host(X24)),m_Halt(X1)))
& elem(m_Down(X25),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X3 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X3 != X24 ) ) )
& host(X3) = host(X26)
& s(host(X1)) != host(X26) )
& host(X3) != host(X24)
& host(X24) = s(host(X1)) )
& ~ leq(nbr_proc,host(X1))
& s(zero) = host(X1)
& host(X3) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( leq(X23,X1)
| host(X3) != host(X23) )
& index(elid,host(X3)) = X2
& norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3))
& setIn(X3,alive)
& queue(host(X3)) = cons(m_NotNorm(X2),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,X1,X2,X3] :
( ( queue(host(X3)) = cons(m_NotNorm(X2),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(X3,alive)
=> ( ( index(elid,host(X3)) = X2
& norm = index(status,host(X3))
& host(X3) = index(ldr,host(X3)) )
=> ( ( host(X3) = host(X1)
& ~ setIn(X1,pids)
& ! [X23] :
( host(X3) = host(X23)
=> leq(X23,X1) ) )
=> ( s(zero) = host(X1)
=> ( ~ leq(nbr_proc,host(X1))
=> ! [X24] :
( host(X24) = s(host(X1))
=> ( host(X3) != host(X24)
=> ! [X25,X26] :
( s(host(X1)) != host(X26)
=> ( host(X3) = host(X26)
=> ! [X27] :
( ( host(X26) = host(X27)
& host(X24) = host(X25)
& host(X24) != host(X26)
& ( X1 = X26
| ( setIn(X26,alive)
& X3 != X26 ) )
& ( X1 = X24
| ( setIn(X24,alive)
& X3 != X24 ) ) )
=> ~ ( elem(m_Down(X27),snoc(queue(host(X24)),m_Halt(X1)))
& elem(m_Down(X25),X0) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X5)) = cons(m_NotNorm(X4),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(X5,alive)
=> ( ( index(elid,host(X5)) = X4
& norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5)) )
=> ( ( host(X5) = host(X12)
& ~ setIn(X12,pids)
& ! [X6] :
( host(X5) = host(X6)
=> leq(X6,X12) ) )
=> ( s(zero) = host(X12)
=> ( ~ leq(nbr_proc,host(X12))
=> ! [X6] :
( host(X6) = s(host(X12))
=> ( host(X5) != host(X6)
=> ! [X16,X17] :
( s(host(X12)) != host(X17)
=> ( host(X5) = host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& host(X6) != host(X17)
& ( X12 = X17
| ( setIn(X17,alive)
& X5 != X17 ) )
& ( X6 = X12
| ( setIn(X6,alive)
& X5 != X6 ) ) )
=> ~ ( elem(m_Down(X18),snoc(queue(host(X6)),m_Halt(X12)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X5)) = cons(m_NotNorm(X4),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(X5,alive)
=> ( ( index(elid,host(X5)) = X4
& norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5)) )
=> ( ( host(X5) = host(X12)
& ~ setIn(X12,pids)
& ! [X6] :
( host(X5) = host(X6)
=> leq(X6,X12) ) )
=> ( s(zero) = host(X12)
=> ( ~ leq(nbr_proc,host(X12))
=> ! [X6] :
( host(X6) = s(host(X12))
=> ( host(X5) != host(X6)
=> ! [X16,X17] :
( s(host(X12)) != host(X17)
=> ( host(X5) = host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& host(X6) != host(X17)
& ( X12 = X17
| ( setIn(X17,alive)
& X5 != X17 ) )
& ( X6 = X12
| ( setIn(X6,alive)
& X5 != X6 ) ) )
=> ~ ( elem(m_Down(X18),snoc(queue(host(X6)),m_Halt(X12)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f24803,plain,
( ~ elem(m_Down(sK7),sK2)
| ~ spl13_1 ),
inference(trivial_inequality_removal,[],[f24798]) ).
fof(f24798,plain,
( host(sK6) != host(sK6)
| ~ elem(m_Down(sK7),sK2)
| ~ spl13_1 ),
inference(superposition,[],[f24365,f209]) ).
fof(f209,plain,
host(sK6) = host(sK7),
inference(cnf_transformation,[],[f151]) ).
fof(f24365,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),sK2) )
| ~ spl13_1 ),
inference(resolution,[],[f15066,f816]) ).
fof(f816,plain,
! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) ),
inference(superposition,[],[f307,f390]) ).
fof(f390,plain,
cons(m_NotNorm(sK4),sK2) = queue(host(sK3)),
inference(forward_demodulation,[],[f190,f197]) ).
fof(f197,plain,
host(sK5) = host(sK3),
inference(cnf_transformation,[],[f151]) ).
fof(f190,plain,
queue(host(sK5)) = cons(m_NotNorm(sK4),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f307,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,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,[],[f178]) ).
fof(f178,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,[],[f121]) ).
fof(f121,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',axiom_46) ).
fof(f15066,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| host(X0) != host(sK6) )
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f15065,f344]) ).
fof(f344,plain,
( setIn(sK6,alive)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl13_1
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f15065,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| host(X0) != host(sK6)
| ~ setIn(sK6,alive) ),
inference(subsumption_resolution,[],[f15064,f328]) ).
fof(f328,plain,
host(sK3) != host(sK6),
inference(forward_demodulation,[],[f201,f197]) ).
fof(f201,plain,
host(sK5) != host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f15064,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| host(sK3) = host(sK6)
| host(X0) != host(sK6)
| ~ setIn(sK6,alive) ),
inference(subsumption_resolution,[],[f15056,f3618]) ).
fof(f3618,plain,
host(sK3) = host(sK9),
inference(subsumption_resolution,[],[f3617,f371]) ).
fof(f371,plain,
! [X0] : leq(host(sK3),host(X0)),
inference(forward_demodulation,[],[f229,f198]) ).
fof(f198,plain,
s(zero) = host(sK3),
inference(cnf_transformation,[],[f151]) ).
fof(f229,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).
fof(f3617,plain,
( ~ leq(host(sK3),host(sK3))
| host(sK3) = host(sK9) ),
inference(forward_demodulation,[],[f3616,f329]) ).
fof(f329,plain,
host(sK3) = host(sK8),
inference(forward_demodulation,[],[f203,f197]) ).
fof(f203,plain,
host(sK5) = host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f3616,plain,
( ~ leq(host(sK8),host(sK3))
| host(sK3) = host(sK9) ),
inference(superposition,[],[f1194,f210]) ).
fof(f210,plain,
host(sK8) = host(sK9),
inference(cnf_transformation,[],[f151]) ).
fof(f1194,plain,
! [X0] :
( ~ leq(host(X0),host(sK3))
| host(X0) = host(sK3) ),
inference(resolution,[],[f293,f371]) ).
fof(f293,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f15056,plain,
! [X0] :
( host(sK3) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK3)))
| host(sK3) = host(sK6)
| host(X0) != host(sK6)
| ~ setIn(sK6,alive) ),
inference(resolution,[],[f3027,f2360]) ).
fof(f2360,plain,
elem(m_Down(sK9),queue(host(sK6))),
inference(subsumption_resolution,[],[f2354,f244]) ).
fof(f244,plain,
! [X0,X1] : m_Halt(X1) != m_Down(X0),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Halt(X1) != m_Down(X0),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f2354,plain,
( m_Halt(sK3) = m_Down(sK9)
| elem(m_Down(sK9),queue(host(sK6))) ),
inference(resolution,[],[f308,f212]) ).
fof(f212,plain,
elem(m_Down(sK9),snoc(queue(host(sK6)),m_Halt(sK3))),
inference(cnf_transformation,[],[f151]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).
fof(f3027,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X1),queue(host(X2)))
| host(X1) != host(sK3)
| ~ elem(m_Down(X0),queue(host(sK3)))
| host(X2) = host(sK3)
| host(X0) != host(X2)
| ~ setIn(X2,alive) ),
inference(forward_demodulation,[],[f3026,f197]) ).
fof(f3026,plain,
! [X2,X0,X1] :
( host(X1) != host(sK3)
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ elem(m_Down(X1),queue(host(X2)))
| host(X0) != host(X2)
| ~ setIn(X2,alive)
| host(X2) = host(sK5) ),
inference(forward_demodulation,[],[f3025,f197]) ).
fof(f3025,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| ~ elem(m_Down(X1),queue(host(X2)))
| host(X0) != host(X2)
| host(X1) != host(sK5)
| ~ setIn(X2,alive)
| host(X2) = host(sK5) ),
inference(subsumption_resolution,[],[f3017,f191]) ).
fof(f191,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f3017,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| ~ elem(m_Down(X1),queue(host(X2)))
| host(X0) != host(X2)
| host(X1) != host(sK5)
| ~ setIn(X2,alive)
| ~ setIn(sK5,alive)
| host(X2) = host(sK5) ),
inference(superposition,[],[f189,f197]) ).
fof(f189,plain,
! [X10,X11,X9,X12] :
( ~ elem(m_Down(X12),queue(host(X9)))
| ~ elem(m_Down(X10),queue(host(X11)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X9) = host(X11) ),
inference(cnf_transformation,[],[f151]) ).
fof(f16955,plain,
( ~ spl13_39
| spl13_40
| spl13_30 ),
inference(avatar_split_clause,[],[f6656,f5640,f16952,f16948]) ).
fof(f16948,plain,
( spl13_39
<=> leq(s(sK7),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f16952,plain,
( spl13_40
<=> sK9 = s(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f5640,plain,
( spl13_30
<=> leq(sK7,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f6656,plain,
( sK9 = s(sK7)
| ~ leq(s(sK7),sK9)
| spl13_30 ),
inference(resolution,[],[f6595,f293]) ).
fof(f6595,plain,
( leq(sK9,s(sK7))
| spl13_30 ),
inference(resolution,[],[f6576,f1382]) ).
fof(f1382,plain,
! [X0] :
( leq(X0,sK3)
| leq(sK9,X0) ),
inference(resolution,[],[f1376,f254]) ).
fof(f254,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(f1376,plain,
! [X0] :
( ~ leq(X0,sK9)
| leq(X0,sK3) ),
inference(resolution,[],[f303,f405]) ).
fof(f405,plain,
leq(sK9,sK3),
inference(subsumption_resolution,[],[f400,f329]) ).
fof(f400,plain,
( host(sK3) != host(sK8)
| leq(sK9,sK3) ),
inference(superposition,[],[f391,f210]) ).
fof(f391,plain,
! [X8] :
( host(X8) != host(sK3)
| leq(X8,sK3) ),
inference(forward_demodulation,[],[f195,f197]) ).
fof(f195,plain,
! [X8] :
( leq(X8,sK3)
| host(X8) != host(sK5) ),
inference(cnf_transformation,[],[f151]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(f6576,plain,
( ~ leq(s(sK7),sK3)
| spl13_30 ),
inference(resolution,[],[f5675,f225]) ).
fof(f225,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(f5675,plain,
( ! [X0] :
( leq(X0,sK7)
| ~ leq(X0,sK3) )
| spl13_30 ),
inference(resolution,[],[f5655,f303]) ).
fof(f5655,plain,
( leq(sK3,sK7)
| spl13_30 ),
inference(resolution,[],[f5641,f254]) ).
fof(f5641,plain,
( ~ leq(sK7,sK3)
| spl13_30 ),
inference(avatar_component_clause,[],[f5640]) ).
fof(f13626,plain,
( ~ spl13_37
| spl13_38
| ~ spl13_1
| spl13_30 ),
inference(avatar_split_clause,[],[f5959,f5640,f342,f13623,f13619]) ).
fof(f13619,plain,
( spl13_37
<=> leq(s(sK6),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f13623,plain,
( spl13_38
<=> sK9 = s(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f5959,plain,
( sK9 = s(sK6)
| ~ leq(s(sK6),sK9)
| ~ spl13_1
| spl13_30 ),
inference(resolution,[],[f5927,f293]) ).
fof(f5927,plain,
( leq(sK9,s(sK6))
| ~ spl13_1
| spl13_30 ),
inference(subsumption_resolution,[],[f5922,f5641]) ).
fof(f5922,plain,
( leq(sK7,sK3)
| leq(sK9,s(sK6))
| ~ spl13_1 ),
inference(resolution,[],[f5880,f1407]) ).
fof(f1407,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| leq(X1,sK3)
| leq(sK9,X0) ),
inference(resolution,[],[f1382,f303]) ).
fof(f5880,plain,
( leq(sK7,s(sK6))
| ~ spl13_1 ),
inference(resolution,[],[f5616,f225]) ).
fof(f5616,plain,
( ! [X0] :
( leq(X0,sK6)
| leq(sK7,X0) )
| ~ spl13_1 ),
inference(resolution,[],[f5613,f254]) ).
fof(f5613,plain,
( ! [X0] :
( ~ leq(X0,sK7)
| leq(X0,sK6) )
| ~ spl13_1 ),
inference(resolution,[],[f5608,f303]) ).
fof(f5608,plain,
( leq(sK7,sK6)
| ~ spl13_1 ),
inference(resolution,[],[f5607,f254]) ).
fof(f5607,plain,
( ~ leq(sK6,sK7)
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f5605,f344]) ).
fof(f5605,plain,
( ~ setIn(sK6,alive)
| ~ leq(sK6,sK7) ),
inference(equality_resolution,[],[f1913]) ).
fof(f1913,plain,
! [X0] :
( host(X0) != host(sK6)
| ~ setIn(X0,alive)
| ~ leq(X0,sK7) ),
inference(subsumption_resolution,[],[f1905,f818]) ).
fof(f818,plain,
~ setIn(sK7,alive),
inference(resolution,[],[f817,f211]) ).
fof(f817,plain,
! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) ),
inference(resolution,[],[f816,f182]) ).
fof(f182,plain,
! [X26,X27] :
( ~ elem(m_Down(X27),queue(host(X26)))
| ~ setIn(X27,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1905,plain,
! [X0] :
( host(X0) != host(sK6)
| ~ setIn(X0,alive)
| ~ leq(X0,sK7)
| setIn(sK7,alive) ),
inference(superposition,[],[f187,f209]) ).
fof(f187,plain,
! [X16,X15] :
( host(X15) != host(X16)
| ~ setIn(X16,alive)
| ~ leq(X16,X15)
| setIn(X15,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f12654,plain,
( ~ spl13_35
| spl13_36
| ~ spl13_1 ),
inference(avatar_split_clause,[],[f5925,f342,f12651,f12647]) ).
fof(f12647,plain,
( spl13_35
<=> leq(s(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f12651,plain,
( spl13_36
<=> sK7 = s(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f5925,plain,
( sK7 = s(sK6)
| ~ leq(s(sK6),sK7)
| ~ spl13_1 ),
inference(resolution,[],[f5880,f293]) ).
fof(f6221,plain,
( ~ spl13_33
| spl13_34
| spl13_30 ),
inference(avatar_split_clause,[],[f5662,f5640,f6218,f6214]) ).
fof(f6214,plain,
( spl13_33
<=> leq(sK7,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f6218,plain,
( spl13_34
<=> sK7 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f5662,plain,
( sK7 = sK9
| ~ leq(sK7,sK9)
| spl13_30 ),
inference(resolution,[],[f5653,f293]) ).
fof(f5653,plain,
( leq(sK9,sK7)
| spl13_30 ),
inference(resolution,[],[f5641,f1382]) ).
fof(f6080,plain,
( ~ spl13_31
| spl13_32
| ~ spl13_29 ),
inference(avatar_split_clause,[],[f5648,f5636,f6077,f6073]) ).
fof(f6073,plain,
( spl13_31
<=> leq(sK6,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f6077,plain,
( spl13_32
<=> sK6 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f5636,plain,
( spl13_29
<=> leq(sK9,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f5648,plain,
( sK6 = sK9
| ~ leq(sK6,sK9)
| ~ spl13_29 ),
inference(resolution,[],[f5638,f293]) ).
fof(f5638,plain,
( leq(sK9,sK6)
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f5636]) ).
fof(f5827,plain,
( ~ spl13_8
| ~ spl13_23 ),
inference(avatar_contradiction_clause,[],[f5826]) ).
fof(f5826,plain,
( $false
| ~ spl13_8
| ~ spl13_23 ),
inference(subsumption_resolution,[],[f5812,f196]) ).
fof(f196,plain,
~ setIn(sK3,pids),
inference(cnf_transformation,[],[f151]) ).
fof(f5812,plain,
( setIn(sK3,pids)
| ~ spl13_8
| ~ spl13_23 ),
inference(superposition,[],[f3779,f1248]) ).
fof(f1248,plain,
( sK3 = sK5
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1246,plain,
( spl13_8
<=> sK3 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f3779,plain,
( setIn(sK5,pids)
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f3777]) ).
fof(f3777,plain,
( spl13_23
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f5825,plain,
( spl13_7
| ~ spl13_8 ),
inference(avatar_contradiction_clause,[],[f5824]) ).
fof(f5824,plain,
( $false
| spl13_7
| ~ spl13_8 ),
inference(subsumption_resolution,[],[f5747,f224]) ).
fof(f224,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).
fof(f5747,plain,
( ~ leq(sK3,sK3)
| spl13_7
| ~ spl13_8 ),
inference(superposition,[],[f1244,f1248]) ).
fof(f1244,plain,
( ~ leq(sK3,sK5)
| spl13_7 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1242,plain,
( spl13_7
<=> leq(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f5743,plain,
( ~ spl13_3
| ~ spl13_4
| spl13_8 ),
inference(avatar_contradiction_clause,[],[f5742]) ).
fof(f5742,plain,
( $false
| ~ spl13_3
| ~ spl13_4
| spl13_8 ),
inference(subsumption_resolution,[],[f5741,f1247]) ).
fof(f1247,plain,
( sK3 != sK5
| spl13_8 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f5741,plain,
( sK3 = sK5
| ~ spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f5733,f2557]) ).
fof(f2557,plain,
( setIn(sK3,alive)
| ~ spl13_3
| ~ spl13_4 ),
inference(forward_demodulation,[],[f360,f364]) ).
fof(f364,plain,
( sK3 = sK8
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl13_4
<=> sK3 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f360,plain,
( setIn(sK8,alive)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f358,plain,
( spl13_3
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f5733,plain,
( ~ setIn(sK3,alive)
| sK3 = sK5 ),
inference(equality_resolution,[],[f1961]) ).
fof(f1961,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ setIn(X0,alive)
| sK5 = X0 ),
inference(subsumption_resolution,[],[f1951,f191]) ).
fof(f1951,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| sK5 = X0 ),
inference(superposition,[],[f188,f197]) ).
fof(f188,plain,
! [X14,X13] :
( host(X13) != host(X14)
| ~ setIn(X13,alive)
| ~ setIn(X14,alive)
| X13 = X14 ),
inference(cnf_transformation,[],[f151]) ).
fof(f5740,plain,
( ~ spl13_3
| ~ spl13_4
| spl13_8 ),
inference(avatar_contradiction_clause,[],[f5739]) ).
fof(f5739,plain,
( $false
| ~ spl13_3
| ~ spl13_4
| spl13_8 ),
inference(subsumption_resolution,[],[f5738,f1247]) ).
fof(f5738,plain,
( sK3 = sK5
| ~ spl13_3
| ~ spl13_4 ),
inference(forward_demodulation,[],[f5737,f364]) ).
fof(f5737,plain,
( sK5 = sK8
| ~ spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f5736,f2557]) ).
fof(f5736,plain,
( ~ setIn(sK3,alive)
| sK5 = sK8
| ~ spl13_4 ),
inference(forward_demodulation,[],[f5735,f364]) ).
fof(f5735,plain,
( ~ setIn(sK8,alive)
| sK5 = sK8 ),
inference(trivial_inequality_removal,[],[f5730]) ).
fof(f5730,plain,
( host(sK3) != host(sK3)
| ~ setIn(sK8,alive)
| sK5 = sK8 ),
inference(superposition,[],[f1961,f329]) ).
fof(f5643,plain,
( spl13_29
| spl13_30
| ~ spl13_1 ),
inference(avatar_split_clause,[],[f5611,f342,f5640,f5636]) ).
fof(f5611,plain,
( leq(sK7,sK3)
| leq(sK9,sK6)
| ~ spl13_1 ),
inference(resolution,[],[f5608,f1407]) ).
fof(f3952,plain,
( spl13_27
| spl13_28 ),
inference(avatar_split_clause,[],[f1613,f3950,f3946]) ).
fof(f3946,plain,
( spl13_27
<=> setIn(sK9,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f3950,plain,
( spl13_28
<=> ! [X0] : ~ elem(m_Ack(sK9,X0),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f1613,plain,
! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(host(sK3)))
| setIn(sK9,pids) ),
inference(forward_demodulation,[],[f1609,f329]) ).
fof(f1609,plain,
! [X0] :
( ~ elem(m_Ack(sK9,X0),queue(host(sK8)))
| setIn(sK9,pids) ),
inference(superposition,[],[f258,f210]) ).
fof(f258,plain,
! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
fof(f3852,plain,
( spl13_25
| spl13_26 ),
inference(avatar_split_clause,[],[f1607,f3850,f3846]) ).
fof(f3846,plain,
( spl13_25
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f3850,plain,
( spl13_26
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f1607,plain,
! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK6)))
| setIn(sK7,pids) ),
inference(superposition,[],[f258,f209]) ).
fof(f3783,plain,
( spl13_23
| spl13_24 ),
inference(avatar_split_clause,[],[f1606,f3781,f3777]) ).
fof(f3781,plain,
( spl13_24
<=> ! [X0] : ~ elem(m_Ack(sK5,X0),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f1606,plain,
! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK3)))
| setIn(sK5,pids) ),
inference(superposition,[],[f258,f197]) ).
fof(f2909,plain,
( ~ spl13_21
| spl13_22 ),
inference(avatar_split_clause,[],[f1426,f2906,f2902]) ).
fof(f2902,plain,
( spl13_21
<=> leq(s(sK3),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f2906,plain,
( spl13_22
<=> sK9 = s(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f1426,plain,
( sK9 = s(sK3)
| ~ leq(s(sK3),sK9) ),
inference(resolution,[],[f1414,f293]) ).
fof(f1414,plain,
leq(sK9,s(sK3)),
inference(resolution,[],[f1382,f225]) ).
fof(f2875,plain,
( ~ spl13_19
| spl13_20 ),
inference(avatar_split_clause,[],[f1404,f2872,f2868]) ).
fof(f2868,plain,
( spl13_19
<=> leq(s(sK3),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f2872,plain,
( spl13_20
<=> sK5 = s(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f1404,plain,
( sK5 = s(sK3)
| ~ leq(s(sK3),sK5) ),
inference(resolution,[],[f1392,f293]) ).
fof(f1392,plain,
leq(sK5,s(sK3)),
inference(resolution,[],[f1378,f225]) ).
fof(f1378,plain,
! [X0] :
( leq(X0,sK3)
| leq(sK5,X0) ),
inference(resolution,[],[f1375,f254]) ).
fof(f1375,plain,
! [X0] :
( ~ leq(X0,sK5)
| leq(X0,sK3) ),
inference(resolution,[],[f303,f403]) ).
fof(f403,plain,
leq(sK5,sK3),
inference(trivial_inequality_removal,[],[f397]) ).
fof(f397,plain,
( host(sK3) != host(sK3)
| leq(sK5,sK3) ),
inference(superposition,[],[f391,f197]) ).
fof(f2546,plain,
( spl13_3
| ~ spl13_4 ),
inference(avatar_contradiction_clause,[],[f2545]) ).
fof(f2545,plain,
( $false
| spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f2544,f191]) ).
fof(f2544,plain,
( ~ setIn(sK5,alive)
| spl13_3
| ~ spl13_4 ),
inference(trivial_inequality_removal,[],[f2538]) ).
fof(f2538,plain,
( host(sK3) != host(sK3)
| ~ setIn(sK5,alive)
| spl13_3
| ~ spl13_4 ),
inference(superposition,[],[f1916,f197]) ).
fof(f1916,plain,
( ! [X0] :
( host(X0) != host(sK3)
| ~ setIn(X0,alive) )
| spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f1915,f391]) ).
fof(f1915,plain,
( ! [X0] :
( ~ leq(X0,sK3)
| host(X0) != host(sK3)
| ~ setIn(X0,alive) )
| spl13_3
| ~ spl13_4 ),
inference(forward_demodulation,[],[f1914,f364]) ).
fof(f1914,plain,
( ! [X0] :
( host(X0) != host(sK3)
| ~ setIn(X0,alive)
| ~ leq(X0,sK8) )
| spl13_3 ),
inference(subsumption_resolution,[],[f1906,f359]) ).
fof(f359,plain,
( ~ setIn(sK8,alive)
| spl13_3 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f1906,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ setIn(X0,alive)
| ~ leq(X0,sK8)
| setIn(sK8,alive) ),
inference(superposition,[],[f187,f329]) ).
fof(f1630,plain,
( ~ spl13_17
| spl13_18
| spl13_14 ),
inference(avatar_split_clause,[],[f1524,f1496,f1627,f1623]) ).
fof(f1623,plain,
( spl13_17
<=> leq(sK3,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f1627,plain,
( spl13_18
<=> nbr_proc = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f1496,plain,
( spl13_14
<=> leq(sK5,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f1524,plain,
( nbr_proc = sK3
| ~ leq(sK3,nbr_proc)
| spl13_14 ),
inference(resolution,[],[f1518,f293]) ).
fof(f1518,plain,
( leq(nbr_proc,sK3)
| spl13_14 ),
inference(resolution,[],[f1497,f1378]) ).
fof(f1497,plain,
( ~ leq(sK5,nbr_proc)
| spl13_14 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f1580,plain,
( ~ spl13_15
| spl13_16
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f1517,f1492,f1577,f1573]) ).
fof(f1573,plain,
( spl13_15
<=> leq(sK3,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f1577,plain,
( spl13_16
<=> zero = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f1492,plain,
( spl13_13
<=> leq(zero,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f1517,plain,
( zero = sK3
| ~ leq(sK3,zero)
| ~ spl13_13 ),
inference(resolution,[],[f1494,f293]) ).
fof(f1494,plain,
( leq(zero,sK3)
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1499,plain,
( spl13_13
| spl13_14 ),
inference(avatar_split_clause,[],[f1489,f1496,f1492]) ).
fof(f1489,plain,
( leq(sK5,nbr_proc)
| leq(zero,sK3) ),
inference(resolution,[],[f1460,f1375]) ).
fof(f1460,plain,
! [X0] :
( leq(X0,nbr_proc)
| leq(zero,X0) ),
inference(resolution,[],[f1345,f576]) ).
fof(f576,plain,
! [X0] :
( leq(X0,host(sK3))
| leq(zero,X0) ),
inference(resolution,[],[f556,f254]) ).
fof(f556,plain,
! [X0] :
( ~ leq(host(sK3),X0)
| leq(zero,X0) ),
inference(resolution,[],[f546,f292]) ).
fof(f292,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(f546,plain,
! [X0] :
( ~ leq(host(sK3),s(X0))
| leq(zero,X0) ),
inference(superposition,[],[f271,f198]) ).
fof(f271,plain,
! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).
fof(f1345,plain,
! [X0] :
( ~ leq(X0,host(sK3))
| leq(X0,nbr_proc) ),
inference(resolution,[],[f303,f331]) ).
fof(f331,plain,
leq(host(sK3),nbr_proc),
inference(forward_demodulation,[],[f221,f198]) ).
fof(f221,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).
fof(f1279,plain,
( ~ spl13_11
| spl13_12 ),
inference(avatar_split_clause,[],[f1237,f1276,f1272]) ).
fof(f1272,plain,
( spl13_11
<=> leq(s(nbr_proc),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f1276,plain,
( spl13_12
<=> zero = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f1237,plain,
( zero = s(nbr_proc)
| ~ leq(s(nbr_proc),zero) ),
inference(resolution,[],[f293,f641]) ).
fof(f641,plain,
leq(zero,s(nbr_proc)),
inference(resolution,[],[f581,f331]) ).
fof(f581,plain,
! [X0] :
( ~ leq(host(sK3),X0)
| leq(zero,s(X0)) ),
inference(resolution,[],[f556,f292]) ).
fof(f1260,plain,
( ~ spl13_9
| spl13_10 ),
inference(avatar_split_clause,[],[f1239,f1257,f1253]) ).
fof(f1253,plain,
( spl13_9
<=> leq(sK3,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f1257,plain,
( spl13_10
<=> sK3 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f1239,plain,
( sK3 = sK9
| ~ leq(sK3,sK9) ),
inference(resolution,[],[f293,f405]) ).
fof(f1249,plain,
( ~ spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f1238,f1246,f1242]) ).
fof(f1238,plain,
( sK3 = sK5
| ~ leq(sK3,sK5) ),
inference(resolution,[],[f293,f403]) ).
fof(f414,plain,
( spl13_5
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f392,f411,f407]) ).
fof(f407,plain,
( spl13_5
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f411,plain,
( spl13_6
<=> ordered(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f392,plain,
( ~ ordered(queue(host(sK3)))
| ordered(sK2) ),
inference(superposition,[],[f278,f390]) ).
fof(f278,plain,
! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f142,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).
fof(f365,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f207,f362,f358]) ).
fof(f207,plain,
( sK3 = sK8
| setIn(sK8,alive) ),
inference(cnf_transformation,[],[f151]) ).
fof(f356,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f351,f224]) ).
fof(f351,plain,
( ~ leq(host(sK3),host(sK3))
| ~ spl13_2 ),
inference(superposition,[],[f339,f348]) ).
fof(f348,plain,
( sK3 = sK6
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl13_2
<=> sK3 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f339,plain,
~ leq(host(sK6),host(sK3)),
inference(superposition,[],[f225,f200]) ).
fof(f200,plain,
s(host(sK3)) = host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f354,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl13_2 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
( host(sK3) != host(sK3)
| ~ spl13_2 ),
inference(superposition,[],[f328,f348]) ).
fof(f349,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f205,f346,f342]) ).
fof(f205,plain,
( sK3 = sK6
| setIn(sK6,alive) ),
inference(cnf_transformation,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWV451+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n028.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 : Fri May 3 21:11:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (8868)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (8871)WARNING: value z3 for option sas not known
% 0.13/0.38 % (8873)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (8870)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (8872)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (8871)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (8874)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (8875)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38 % (8869)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 Detected minimum model sizes of [4]
% 0.13/0.38 Detected maximum model sizes of [max]
% 0.13/0.38 TRYING [4]
% 0.13/0.41 Detected minimum model sizes of [4]
% 0.13/0.41 Detected maximum model sizes of [max]
% 0.20/0.41 TRYING [4]
% 0.20/0.42 TRYING [5]
% 0.20/0.49 TRYING [6]
% 1.66/0.59 TRYING [5]
% 1.84/0.62 TRYING [7]
% 3.10/0.82 TRYING [8]
% 6.77/1.34 % (8871)First to succeed.
% 6.77/1.35 % (8871)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8868"
% 6.77/1.35 % (8871)Refutation found. Thanks to Tanya!
% 6.77/1.35 % SZS status Theorem for theBenchmark
% 6.77/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 6.77/1.35 % (8871)------------------------------
% 6.77/1.35 % (8871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.77/1.35 % (8871)Termination reason: Refutation
% 6.77/1.35
% 6.77/1.35 % (8871)Memory used [KB]: 14214
% 6.77/1.35 % (8871)Time elapsed: 0.958 s
% 6.77/1.35 % (8871)Instructions burned: 1881 (million)
% 6.77/1.35 % (8868)Success in time 0.978 s
%------------------------------------------------------------------------------