TSTP Solution File: SWV471+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV471+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 : n029.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 10:59:11 EDT 2024
% Result : Theorem 4.46s 1.01s
% Output : Refutation 4.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 64
% Syntax : Number of formulae : 271 ( 47 unt; 0 def)
% Number of atoms : 1349 ( 529 equ)
% Maximal formula atoms : 132 ( 4 avg)
% Number of connectives : 1787 ( 709 ~; 592 |; 362 &)
% ( 56 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 41 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 20 con; 0-2 aty)
% Number of variables : 615 ( 567 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27180,plain,
$false,
inference(avatar_sat_refutation,[],[f359,f366,f372,f374,f376,f592,f782,f826,f834,f842,f850,f887,f909,f1154,f1184,f1501,f1510,f1519,f1653,f4168,f4873,f4941,f5618,f6303,f6317,f6319,f6999,f7778,f8114,f27179]) ).
fof(f27179,plain,
( spl13_3
| ~ spl13_30
| ~ spl13_32
| ~ spl13_33
| ~ spl13_36 ),
inference(avatar_split_clause,[],[f27176,f6997,f5616,f4871,f4163,f361]) ).
fof(f361,plain,
( spl13_3
<=> ! [X31] : nbr_proc != host(X31) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f4163,plain,
( spl13_30
<=> ! [X11,X10] :
( nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f4871,plain,
( spl13_32
<=> ! [X11,X10] :
( nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(nbr_proc))
| host(X10) != sK9(X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f5616,plain,
( spl13_33
<=> ! [X11,X10] :
( nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(nbr_proc))
| leq(s(zero),sK9(X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f6997,plain,
( spl13_36
<=> ! [X11,X10] :
( nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(nbr_proc))
| ~ setIn(sK9(X10,X11),index(down,nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f27176,plain,
( ! [X0] : host(X0) != nbr_proc
| ~ spl13_30
| ~ spl13_32
| ~ spl13_33
| ~ spl13_36 ),
inference(subsumption_resolution,[],[f27171,f1431]) ).
fof(f1431,plain,
elem(m_Down(sK7),queue(nbr_proc)),
inference(subsumption_resolution,[],[f1423,f296]) ).
fof(f296,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f1423,plain,
( m_Ack(sK4,sK3) = m_Down(sK7)
| elem(m_Down(sK7),queue(nbr_proc)) ),
inference(resolution,[],[f304,f398]) ).
fof(f398,plain,
elem(m_Down(sK7),snoc(queue(nbr_proc),m_Ack(sK4,sK3))),
inference(forward_demodulation,[],[f203,f205]) ).
fof(f205,plain,
nbr_proc = host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( elem(m_Down(sK6),sK2)
& setIn(sK5,alive)
& elec_1 = index(status,host(sK8))
& nbr_proc = host(sK8)
& host(sK8) = host(sK6)
& elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ack(sK4,sK3)))
& ! [X7] :
( host(sK7) = X7
| setIn(X7,index(down,host(sK8)))
| ~ leq(s(zero),X7)
| leq(host(sK8),X7) )
& host(sK3) != host(sK8)
& host(sK4) = host(sK8)
& host(sK3) = host(sK5)
& host(sK4) != host(sK5)
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Halt(sK4),sK2)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ( host(X10) != sK9(X10,X11)
& ~ setIn(sK9(X10,X11),index(down,host(X11)))
& leq(s(zero),sK9(X10,X11))
& ~ leq(host(X11),sK9(X10,X11)) ) )
& ! [X13,X14,X15,X16] :
( ~ setIn(host(X14),index(down,host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X16) != host(X15)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X17)))
| host(X20) != host(X19)
| host(X17) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive)
| host(X17) = host(X19) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23) )
& ! [X24,X25,X26] :
( ~ elem(m_Down(X24),queue(host(X25)))
| norm != index(status,host(X26))
| host(X25) != index(ldr,host(X26))
| host(X24) != host(X26)
| ~ setIn(X26,alive)
| host(X26) = host(X25) )
& ! [X27] :
( index(elid,host(X27)) = X27
| ~ setIn(X27,alive)
| ( elec_2 != index(status,host(X27))
& elec_1 != index(status,host(X27)) ) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| X28 = X29 )
& ! [X30,X31] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) )
& ! [X32,X33] :
( host(X32) != host(X33)
| ~ elem(m_Down(X33),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) ),
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] :
( elem(m_Down(X4),X0)
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(X2,X1)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X1) != host(X6)
& host(X2) = host(X6) )
& host(X3) = host(X1)
& host(X2) != host(X3) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15,X16] :
( ~ setIn(host(X14),index(down,host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X16) != host(X15)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X17)))
| host(X20) != host(X19)
| host(X17) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive)
| host(X17) = host(X19) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23) )
& ! [X24,X25,X26] :
( ~ elem(m_Down(X24),queue(host(X25)))
| norm != index(status,host(X26))
| host(X25) != index(ldr,host(X26))
| host(X24) != host(X26)
| ~ setIn(X26,alive)
| host(X26) = host(X25) )
& ! [X27] :
( index(elid,host(X27)) = X27
| ~ setIn(X27,alive)
| ( elec_2 != index(status,host(X27))
& elec_1 != index(status,host(X27)) ) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| X28 = X29 )
& ! [X30,X31] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) )
& ! [X32,X33] :
( host(X32) != host(X33)
| ~ elem(m_Down(X33),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) )
=> ( ? [X3] :
( ? [X6,X5,X4] :
( elem(m_Down(X4),sK2)
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(sK4,sK3)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) != host(sK3)
& host(X6) = host(sK4) )
& host(X3) = host(sK3)
& host(X3) != host(sK4) )
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Halt(sK4),sK2)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15,X16] :
( ~ setIn(host(X14),index(down,host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X16) != host(X15)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X17)))
| host(X20) != host(X19)
| host(X17) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive)
| host(X17) = host(X19) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23) )
& ! [X24,X25,X26] :
( ~ elem(m_Down(X24),queue(host(X25)))
| norm != index(status,host(X26))
| host(X25) != index(ldr,host(X26))
| host(X24) != host(X26)
| ~ setIn(X26,alive)
| host(X26) = host(X25) )
& ! [X27] :
( index(elid,host(X27)) = X27
| ~ setIn(X27,alive)
| ( elec_2 != index(status,host(X27))
& elec_1 != index(status,host(X27)) ) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| X28 = X29 )
& ! [X30,X31] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) )
& ! [X32,X33] :
( host(X32) != host(X33)
| ~ elem(m_Down(X33),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X3] :
( ? [X6,X5,X4] :
( elem(m_Down(X4),sK2)
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(sK4,sK3)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) != host(sK3)
& host(X6) = host(sK4) )
& host(X3) = host(sK3)
& host(X3) != host(sK4) )
=> ( ? [X6,X5,X4] :
( elem(m_Down(X4),sK2)
& setIn(sK5,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(sK4,sK3)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) != host(sK3)
& host(X6) = host(sK4) )
& host(sK3) = host(sK5)
& host(sK4) != host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X6,X5,X4] :
( elem(m_Down(X4),sK2)
& setIn(sK5,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(sK4,sK3)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X6) != host(sK3)
& host(X6) = host(sK4) )
=> ( elem(m_Down(sK6),sK2)
& setIn(sK5,alive)
& elec_1 = index(status,host(sK8))
& nbr_proc = host(sK8)
& host(sK8) = host(sK6)
& elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ack(sK4,sK3)))
& ! [X7] :
( host(sK7) = X7
| setIn(X7,index(down,host(sK8)))
| ~ leq(s(zero),X7)
| leq(host(sK8),X7) )
& host(sK3) != host(sK8)
& host(sK4) = host(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X10,X11] :
( ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) )
=> ( host(X10) != sK9(X10,X11)
& ~ setIn(sK9(X10,X11),index(down,host(X11)))
& leq(s(zero),sK9(X10,X11))
& ~ leq(host(X11),sK9(X10,X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5,X6] :
( elem(m_Down(X4),X0)
& setIn(X3,alive)
& elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),snoc(queue(host(X6)),m_Ack(X2,X1)))
& ! [X7] :
( host(X5) = X7
| setIn(X7,index(down,host(X6)))
| ~ leq(s(zero),X7)
| leq(host(X6),X7) )
& host(X1) != host(X6)
& host(X2) = host(X6) )
& host(X3) = host(X1)
& host(X2) != host(X3) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15,X16] :
( ~ setIn(host(X14),index(down,host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X16) != host(X15)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19,X20] :
( ~ elem(m_Down(X18),queue(host(X19)))
| ~ elem(m_Down(X20),queue(host(X17)))
| host(X20) != host(X19)
| host(X17) != host(X18)
| ~ setIn(X19,alive)
| ~ setIn(X17,alive)
| host(X17) = host(X19) )
& ! [X21,X22,X23] :
( ~ elem(m_Down(X21),queue(host(X22)))
| host(X22) != host(index(elid,host(X23)))
| wait != index(status,host(X23))
| host(X21) != host(X23)
| ~ setIn(X23,alive)
| host(X22) = host(X23) )
& ! [X24,X25,X26] :
( ~ elem(m_Down(X24),queue(host(X25)))
| norm != index(status,host(X26))
| host(X25) != index(ldr,host(X26))
| host(X24) != host(X26)
| ~ setIn(X26,alive)
| host(X26) = host(X25) )
& ! [X27] :
( index(elid,host(X27)) = X27
| ~ setIn(X27,alive)
| ( elec_2 != index(status,host(X27))
& elec_1 != index(status,host(X27)) ) )
& ! [X28,X29] :
( ~ setIn(X29,alive)
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| X28 = X29 )
& ! [X30,X31] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) )
& ! [X32,X33] :
( host(X32) != host(X33)
| ~ elem(m_Down(X33),queue(host(X32))) )
& ! [X34,X35] :
( ~ leq(host(X34),host(X35))
| ~ elem(m_Ldr(X35),queue(host(X34))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2] :
( ? [X31] :
( ? [X32,X33,X34] :
( elem(m_Down(X32),X0)
& setIn(X31,alive)
& elec_1 = index(status,host(X34))
& nbr_proc = host(X34)
& host(X34) = host(X32)
& elem(m_Down(X33),snoc(queue(host(X34)),m_Ack(X2,X1)))
& ! [X35] :
( host(X33) = X35
| setIn(X35,index(down,host(X34)))
| ~ leq(s(zero),X35)
| leq(host(X34),X35) )
& host(X1) != host(X34)
& host(X2) = host(X34) )
& host(X1) = host(X31)
& host(X2) != host(X31) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( ~ elem(m_Down(X4),queue(host(X3)))
| ~ setIn(X3,alive)
| elec_1 != index(status,host(X6))
| nbr_proc != host(X6)
| host(X4) != host(X6)
| ~ elem(m_Down(X5),queue(host(X6)))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10,X11] :
( ~ setIn(host(X9),index(down,host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X11) != host(X10)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X10) = host(X8) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X14)))
| ~ elem(m_Down(X15),queue(host(X12)))
| host(X14) != host(X15)
| host(X13) != host(X12)
| ~ setIn(X14,alive)
| ~ setIn(X12,alive)
| host(X14) = host(X12) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X16),queue(host(X17)))
| host(X17) != host(index(elid,host(X18)))
| wait != index(status,host(X18))
| host(X16) != host(X18)
| ~ setIn(X18,alive)
| host(X17) = host(X18) )
& ! [X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| norm != index(status,host(X21))
| host(X20) != index(ldr,host(X21))
| host(X21) != host(X19)
| ~ setIn(X21,alive)
| host(X21) = host(X20) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ~ setIn(X22,alive)
| ( elec_2 != index(status,host(X22))
& elec_1 != index(status,host(X22)) ) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| X23 = X24 )
& ! [X25,X26] :
( ~ elem(m_NotNorm(X25),queue(host(X26)))
| nbr_proc != host(X26) )
& ! [X27,X28] :
( host(X27) != host(X28)
| ~ elem(m_Down(X28),queue(host(X27))) )
& ! [X29,X30] :
( ~ leq(host(X29),host(X30))
| ~ elem(m_Ldr(X30),queue(host(X29))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ? [X31] :
( ? [X32,X33,X34] :
( elem(m_Down(X32),X0)
& setIn(X31,alive)
& elec_1 = index(status,host(X34))
& nbr_proc = host(X34)
& host(X34) = host(X32)
& elem(m_Down(X33),snoc(queue(host(X34)),m_Ack(X2,X1)))
& ! [X35] :
( host(X33) = X35
| setIn(X35,index(down,host(X34)))
| ~ leq(s(zero),X35)
| leq(host(X34),X35) )
& host(X1) != host(X34)
& host(X2) = host(X34) )
& host(X1) = host(X31)
& host(X2) != host(X31) )
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( ~ elem(m_Down(X4),queue(host(X3)))
| ~ setIn(X3,alive)
| elec_1 != index(status,host(X6))
| nbr_proc != host(X6)
| host(X4) != host(X6)
| ~ elem(m_Down(X5),queue(host(X6)))
| ? [X7] :
( host(X5) != X7
& ~ setIn(X7,index(down,host(X6)))
& leq(s(zero),X7)
& ~ leq(host(X6),X7) ) )
& ! [X8,X9,X10,X11] :
( ~ setIn(host(X9),index(down,host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X11) != host(X10)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X10) = host(X8) )
& ! [X12,X13,X14,X15] :
( ~ elem(m_Down(X13),queue(host(X14)))
| ~ elem(m_Down(X15),queue(host(X12)))
| host(X14) != host(X15)
| host(X13) != host(X12)
| ~ setIn(X14,alive)
| ~ setIn(X12,alive)
| host(X14) = host(X12) )
& ! [X16,X17,X18] :
( ~ elem(m_Down(X16),queue(host(X17)))
| host(X17) != host(index(elid,host(X18)))
| wait != index(status,host(X18))
| host(X16) != host(X18)
| ~ setIn(X18,alive)
| host(X17) = host(X18) )
& ! [X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| norm != index(status,host(X21))
| host(X20) != index(ldr,host(X21))
| host(X21) != host(X19)
| ~ setIn(X21,alive)
| host(X21) = host(X20) )
& ! [X22] :
( index(elid,host(X22)) = X22
| ~ setIn(X22,alive)
| ( elec_2 != index(status,host(X22))
& elec_1 != index(status,host(X22)) ) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| X23 = X24 )
& ! [X25,X26] :
( ~ elem(m_NotNorm(X25),queue(host(X26)))
| nbr_proc != host(X26) )
& ! [X27,X28] :
( host(X27) != host(X28)
| ~ elem(m_Down(X28),queue(host(X27))) )
& ! [X29,X30] :
( ~ leq(host(X29),host(X30))
| ~ elem(m_Ldr(X30),queue(host(X29))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2] :
( ( queue(host(X1)) = cons(m_Halt(X2),X0)
& ! [X3,X4,X5,X6] :
( ( elec_1 = index(status,host(X6))
& nbr_proc = host(X6)
& host(X4) = host(X6)
& elem(m_Down(X5),queue(host(X6)))
& ! [X7] :
( ( leq(s(zero),X7)
& ~ leq(host(X6),X7) )
=> ( host(X5) = X7
| setIn(X7,index(down,host(X6))) ) ) )
=> ~ ( elem(m_Down(X4),queue(host(X3)))
& setIn(X3,alive) ) )
& ! [X8,X9,X10,X11] :
( ( host(X11) = host(X10)
& host(X8) = host(X9)
& setIn(X10,alive)
& setIn(X8,alive)
& host(X10) != host(X8) )
=> ~ ( setIn(host(X9),index(down,host(X10)))
& elem(m_Down(X11),queue(host(X8))) ) )
& ! [X12,X13,X14,X15] :
( ( host(X14) = host(X15)
& host(X13) = host(X12)
& setIn(X14,alive)
& setIn(X12,alive)
& host(X14) != host(X12) )
=> ~ ( elem(m_Down(X13),queue(host(X14)))
& elem(m_Down(X15),queue(host(X12))) ) )
& ! [X16,X17,X18] :
( ( host(X17) = host(index(elid,host(X18)))
& wait = index(status,host(X18))
& host(X16) = host(X18)
& setIn(X18,alive)
& host(X17) != host(X18) )
=> ~ elem(m_Down(X16),queue(host(X17))) )
& ! [X19,X20,X21] :
( ( norm = index(status,host(X21))
& host(X20) = index(ldr,host(X21))
& host(X21) = host(X19)
& setIn(X21,alive)
& host(X21) != host(X20) )
=> ~ elem(m_Down(X19),queue(host(X20))) )
& ! [X22] :
( ( setIn(X22,alive)
& ( elec_2 = index(status,host(X22))
| elec_1 = index(status,host(X22)) ) )
=> index(elid,host(X22)) = X22 )
& ! [X23,X24] :
( ( host(X23) = host(X24)
& X23 != X24 )
=> ( ~ setIn(X24,alive)
| ~ setIn(X23,alive) ) )
& ! [X25,X26] :
( nbr_proc = host(X26)
=> ~ elem(m_NotNorm(X25),queue(host(X26))) )
& ! [X27,X28] :
( elem(m_Down(X28),queue(host(X27)))
=> host(X27) != host(X28) )
& ! [X29,X30] :
( elem(m_Ldr(X30),queue(host(X29)))
=> ~ leq(host(X29),host(X30)) ) )
=> ( setIn(X1,alive)
=> ! [X31] :
( host(X2) != host(X31)
=> ( host(X1) = host(X31)
=> ! [X32,X33,X34] :
( host(X2) = host(X34)
=> ( host(X1) != host(X34)
=> ( ( elec_1 = index(status,host(X34))
& nbr_proc = host(X34)
& host(X34) = host(X32)
& elem(m_Down(X33),snoc(queue(host(X34)),m_Ack(X2,X1)))
& ! [X35] :
( ( leq(s(zero),X35)
& ~ leq(host(X34),X35) )
=> ( host(X33) = X35
| setIn(X35,index(down,host(X34))) ) ) )
=> ~ ( elem(m_Down(X32),X0)
& setIn(X31,alive) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4] :
( ( queue(host(X12)) = cons(m_Halt(X4),X11)
& ! [X5,X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X6) = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) ) )
& ! [X5,X6,X14,X13] :
( ( host(X13) = host(X14)
& host(X5) = host(X6)
& setIn(X14,alive)
& setIn(X5,alive)
& host(X5) != host(X14) )
=> ~ ( setIn(host(X6),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X5))) ) )
& ! [X5,X6,X14,X13] :
( ( host(X13) = host(X14)
& host(X5) = host(X6)
& setIn(X14,alive)
& setIn(X5,alive)
& host(X5) != host(X14) )
=> ~ ( elem(m_Down(X6),queue(host(X14)))
& elem(m_Down(X13),queue(host(X5))) ) )
& ! [X5,X6,X13] :
( ( host(X6) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X5) = host(X13)
& setIn(X13,alive)
& host(X6) != host(X13) )
=> ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X5,X6,X13] :
( ( norm = index(status,host(X13))
& host(X6) = index(ldr,host(X13))
& host(X5) = host(X13)
& setIn(X13,alive)
& host(X6) != host(X13) )
=> ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X5] :
( ( setIn(X5,alive)
& ( elec_2 = index(status,host(X5))
| elec_1 = index(status,host(X5)) ) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& X5 != X6 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X5,alive) ) )
& ! [X5,X6] :
( nbr_proc = host(X6)
=> ~ elem(m_NotNorm(X5),queue(host(X6))) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) ) )
=> ( setIn(X12,alive)
=> ! [X5] :
( host(X4) != host(X5)
=> ( host(X5) = host(X12)
=> ! [X6,X16,X17] :
( host(X4) = host(X17)
=> ( host(X12) != host(X17)
=> ( ( elec_1 = index(status,host(X17))
& nbr_proc = host(X17)
& host(X6) = host(X17)
& elem(m_Down(X16),snoc(queue(host(X17)),m_Ack(X4,X12)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X17),X15) )
=> ( host(X16) = X15
| setIn(X15,index(down,host(X17))) ) ) )
=> ~ ( elem(m_Down(X6),X11)
& setIn(X5,alive) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4] :
( ( queue(host(X12)) = cons(m_Halt(X4),X11)
& ! [X5,X6,X14,X13] :
( ( elec_1 = index(status,host(X13))
& nbr_proc = host(X13)
& host(X6) = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X13),X15) )
=> ( host(X14) = X15
| setIn(X15,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X6),queue(host(X5)))
& setIn(X5,alive) ) )
& ! [X5,X6,X14,X13] :
( ( host(X13) = host(X14)
& host(X5) = host(X6)
& setIn(X14,alive)
& setIn(X5,alive)
& host(X5) != host(X14) )
=> ~ ( setIn(host(X6),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X5))) ) )
& ! [X5,X6,X14,X13] :
( ( host(X13) = host(X14)
& host(X5) = host(X6)
& setIn(X14,alive)
& setIn(X5,alive)
& host(X5) != host(X14) )
=> ~ ( elem(m_Down(X6),queue(host(X14)))
& elem(m_Down(X13),queue(host(X5))) ) )
& ! [X5,X6,X13] :
( ( host(X6) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X5) = host(X13)
& setIn(X13,alive)
& host(X6) != host(X13) )
=> ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X5,X6,X13] :
( ( norm = index(status,host(X13))
& host(X6) = index(ldr,host(X13))
& host(X5) = host(X13)
& setIn(X13,alive)
& host(X6) != host(X13) )
=> ~ elem(m_Down(X5),queue(host(X6))) )
& ! [X5] :
( ( setIn(X5,alive)
& ( elec_2 = index(status,host(X5))
| elec_1 = index(status,host(X5)) ) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6] :
( ( host(X5) = host(X6)
& X5 != X6 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X5,alive) ) )
& ! [X5,X6] :
( nbr_proc = host(X6)
=> ~ elem(m_NotNorm(X5),queue(host(X6))) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X5) != host(X6) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) ) )
=> ( setIn(X12,alive)
=> ! [X5] :
( host(X4) != host(X5)
=> ( host(X5) = host(X12)
=> ! [X6,X16,X17] :
( host(X4) = host(X17)
=> ( host(X12) != host(X17)
=> ( ( elec_1 = index(status,host(X17))
& nbr_proc = host(X17)
& host(X6) = host(X17)
& elem(m_Down(X16),snoc(queue(host(X17)),m_Ack(X4,X12)))
& ! [X15] :
( ( leq(s(zero),X15)
& ~ leq(host(X17),X15) )
=> ( host(X16) = X15
| setIn(X15,index(down,host(X17))) ) ) )
=> ~ ( elem(m_Down(X6),X11)
& setIn(X5,alive) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f203,plain,
elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ack(sK4,sK3))),
inference(cnf_transformation,[],[f151]) ).
fof(f304,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/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f27171,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),queue(nbr_proc))
| host(X0) != nbr_proc )
| ~ spl13_30
| ~ spl13_32
| ~ spl13_33
| ~ spl13_36 ),
inference(trivial_inequality_removal,[],[f27170]) ).
fof(f27170,plain,
( ! [X0] :
( host(sK7) != host(sK7)
| ~ elem(m_Down(sK7),queue(nbr_proc))
| host(X0) != nbr_proc )
| ~ spl13_30
| ~ spl13_32
| ~ spl13_33
| ~ spl13_36 ),
inference(duplicate_literal_removal,[],[f27167]) ).
fof(f27167,plain,
( ! [X0] :
( host(sK7) != host(sK7)
| ~ elem(m_Down(sK7),queue(nbr_proc))
| host(X0) != nbr_proc
| host(X0) != nbr_proc )
| ~ spl13_30
| ~ spl13_32
| ~ spl13_33
| ~ spl13_36 ),
inference(superposition,[],[f4872,f27161]) ).
fof(f27161,plain,
( ! [X0] :
( host(sK7) = sK9(sK7,X0)
| host(X0) != nbr_proc )
| ~ spl13_30
| ~ spl13_33
| ~ spl13_36 ),
inference(resolution,[],[f7137,f1431]) ).
fof(f7137,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| nbr_proc != host(X1)
| host(sK7) = sK9(X0,X1) )
| ~ spl13_30
| ~ spl13_33
| ~ spl13_36 ),
inference(subsumption_resolution,[],[f7136,f5617]) ).
fof(f5617,plain,
( ! [X10,X11] :
( leq(s(zero),sK9(X10,X11))
| ~ elem(m_Down(X10),queue(nbr_proc))
| nbr_proc != host(X11) )
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f5616]) ).
fof(f7136,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| nbr_proc != host(X1)
| host(sK7) = sK9(X0,X1)
| ~ leq(s(zero),sK9(X0,X1)) )
| ~ spl13_30
| ~ spl13_36 ),
inference(subsumption_resolution,[],[f7135,f4164]) ).
fof(f4164,plain,
( ! [X10,X11] :
( ~ leq(nbr_proc,sK9(X10,X11))
| ~ elem(m_Down(X10),queue(nbr_proc))
| nbr_proc != host(X11) )
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f4163]) ).
fof(f7135,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| nbr_proc != host(X1)
| leq(nbr_proc,sK9(X0,X1))
| host(sK7) = sK9(X0,X1)
| ~ leq(s(zero),sK9(X0,X1)) )
| ~ spl13_36 ),
inference(resolution,[],[f6998,f1763]) ).
fof(f1763,plain,
! [X7] :
( setIn(X7,index(down,nbr_proc))
| leq(nbr_proc,X7)
| host(sK7) = X7
| ~ leq(s(zero),X7) ),
inference(forward_demodulation,[],[f1762,f205]) ).
fof(f1762,plain,
! [X7] :
( setIn(X7,index(down,nbr_proc))
| host(sK7) = X7
| ~ leq(s(zero),X7)
| leq(host(sK8),X7) ),
inference(forward_demodulation,[],[f202,f205]) ).
fof(f202,plain,
! [X7] :
( host(sK7) = X7
| setIn(X7,index(down,host(sK8)))
| ~ leq(s(zero),X7)
| leq(host(sK8),X7) ),
inference(cnf_transformation,[],[f151]) ).
fof(f6998,plain,
( ! [X10,X11] :
( ~ setIn(sK9(X10,X11),index(down,nbr_proc))
| ~ elem(m_Down(X10),queue(nbr_proc))
| nbr_proc != host(X11) )
| ~ spl13_36 ),
inference(avatar_component_clause,[],[f6997]) ).
fof(f4872,plain,
( ! [X10,X11] :
( host(X10) != sK9(X10,X11)
| ~ elem(m_Down(X10),queue(nbr_proc))
| nbr_proc != host(X11) )
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f4871]) ).
fof(f8114,plain,
( ~ spl13_39
| spl13_40 ),
inference(avatar_split_clause,[],[f7911,f8111,f8107]) ).
fof(f8107,plain,
( spl13_39
<=> elec_1 = index(status,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f8111,plain,
( spl13_40
<=> sK3 = index(elid,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f7911,plain,
( sK3 = index(elid,host(sK3))
| elec_1 != index(status,host(sK3)) ),
inference(forward_demodulation,[],[f1481,f1643]) ).
fof(f1643,plain,
sK3 = sK5,
inference(subsumption_resolution,[],[f1642,f197]) ).
fof(f197,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f1642,plain,
( ~ setIn(sK3,alive)
| sK3 = sK5 ),
inference(equality_resolution,[],[f1098]) ).
fof(f1098,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ setIn(X0,alive)
| sK5 = X0 ),
inference(subsumption_resolution,[],[f1089,f207]) ).
fof(f207,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f151]) ).
fof(f1089,plain,
! [X0] :
( host(X0) != host(sK3)
| ~ setIn(sK5,alive)
| ~ setIn(X0,alive)
| sK5 = X0 ),
inference(superposition,[],[f185,f199]) ).
fof(f199,plain,
host(sK3) = host(sK5),
inference(cnf_transformation,[],[f151]) ).
fof(f185,plain,
! [X28,X29] :
( host(X28) != host(X29)
| ~ setIn(X28,alive)
| ~ setIn(X29,alive)
| X28 = X29 ),
inference(cnf_transformation,[],[f151]) ).
fof(f1481,plain,
( sK5 = index(elid,host(sK3))
| elec_1 != index(status,host(sK3)) ),
inference(forward_demodulation,[],[f1480,f199]) ).
fof(f1480,plain,
( elec_1 != index(status,host(sK3))
| sK5 = index(elid,host(sK5)) ),
inference(subsumption_resolution,[],[f1475,f207]) ).
fof(f1475,plain,
( elec_1 != index(status,host(sK3))
| ~ setIn(sK5,alive)
| sK5 = index(elid,host(sK5)) ),
inference(superposition,[],[f186,f199]) ).
fof(f186,plain,
! [X27] :
( elec_1 != index(status,host(X27))
| ~ setIn(X27,alive)
| index(elid,host(X27)) = X27 ),
inference(cnf_transformation,[],[f151]) ).
fof(f7778,plain,
( spl13_37
| spl13_38
| ~ spl13_35 ),
inference(avatar_split_clause,[],[f7766,f6300,f7775,f7771]) ).
fof(f7771,plain,
( spl13_37
<=> elem(last(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f7775,plain,
( spl13_38
<=> m_Halt(sK4) = last(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f6300,plain,
( spl13_35
<=> elem(last(sK2),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f7766,plain,
( m_Halt(sK4) = last(sK2)
| elem(last(sK2),sK2)
| ~ spl13_35 ),
inference(resolution,[],[f1389,f6302]) ).
fof(f6302,plain,
( elem(last(sK2),queue(host(sK3)))
| ~ spl13_35 ),
inference(avatar_component_clause,[],[f6300]) ).
fof(f1389,plain,
! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Halt(sK4) = X0
| elem(X0,sK2) ),
inference(superposition,[],[f301,f196]) ).
fof(f196,plain,
queue(host(sK3)) = cons(m_Halt(sK4),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| 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/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f6999,plain,
( spl13_36
| spl13_31 ),
inference(avatar_split_clause,[],[f6618,f4166,f6997]) ).
fof(f4166,plain,
( spl13_31
<=> ! [X9,X8] :
( ~ elem(m_Down(X9),queue(host(X8)))
| nbr_proc != host(X9)
| ~ setIn(X8,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f6618,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| nbr_proc != host(X11)
| nbr_proc != host(X9)
| ~ elem(m_Down(X10),queue(nbr_proc))
| ~ setIn(sK9(X10,X11),index(down,nbr_proc)) ),
inference(subsumption_resolution,[],[f323,f336]) ).
fof(f336,plain,
elec_1 = index(status,nbr_proc),
inference(forward_demodulation,[],[f206,f205]) ).
fof(f206,plain,
elec_1 = index(status,host(sK8)),
inference(cnf_transformation,[],[f151]) ).
fof(f323,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X11)
| nbr_proc != host(X9)
| ~ elem(m_Down(X10),queue(nbr_proc))
| ~ setIn(sK9(X10,X11),index(down,nbr_proc)) ),
inference(inner_rewriting,[],[f194]) ).
fof(f194,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ setIn(sK9(X10,X11),index(down,host(X11))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f6319,plain,
( spl13_1
| ~ spl13_34 ),
inference(avatar_contradiction_clause,[],[f6318]) ).
fof(f6318,plain,
( $false
| spl13_1
| ~ spl13_34 ),
inference(subsumption_resolution,[],[f6306,f209]) ).
fof(f209,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f6306,plain,
( ~ ordered(q_nil)
| spl13_1
| ~ spl13_34 ),
inference(superposition,[],[f353,f6298]) ).
fof(f6298,plain,
( q_nil = sK2
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f6296]) ).
fof(f6296,plain,
( spl13_34
<=> q_nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f353,plain,
( ~ ordered(sK2)
| spl13_1 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl13_1
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f6317,plain,
~ spl13_34,
inference(avatar_contradiction_clause,[],[f6316]) ).
fof(f6316,plain,
( $false
| ~ spl13_34 ),
inference(subsumption_resolution,[],[f6305,f218]) ).
fof(f218,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f6305,plain,
( elem(m_Down(sK6),q_nil)
| ~ spl13_34 ),
inference(superposition,[],[f208,f6298]) ).
fof(f208,plain,
elem(m_Down(sK6),sK2),
inference(cnf_transformation,[],[f151]) ).
fof(f6303,plain,
( spl13_34
| spl13_35 ),
inference(avatar_split_clause,[],[f6291,f6300,f6296]) ).
fof(f6291,plain,
( elem(last(sK2),queue(host(sK3)))
| q_nil = sK2 ),
inference(superposition,[],[f1324,f196]) ).
fof(f1324,plain,
! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ),
inference(superposition,[],[f1320,f230]) ).
fof(f230,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3] :
( snoc(init(X3),last(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f1320,plain,
! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))),
inference(superposition,[],[f321,f297]) ).
fof(f297,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f321,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f305]) ).
fof(f305,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f5618,plain,
( spl13_33
| spl13_31 ),
inference(avatar_split_clause,[],[f5355,f4166,f5616]) ).
fof(f5355,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| nbr_proc != host(X11)
| nbr_proc != host(X9)
| ~ elem(m_Down(X10),queue(nbr_proc))
| leq(s(zero),sK9(X10,X11)) ),
inference(subsumption_resolution,[],[f324,f336]) ).
fof(f324,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X11)
| nbr_proc != host(X9)
| ~ elem(m_Down(X10),queue(nbr_proc))
| leq(s(zero),sK9(X10,X11)) ),
inference(inner_rewriting,[],[f193]) ).
fof(f193,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| leq(s(zero),sK9(X10,X11)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f4941,plain,
~ spl13_31,
inference(avatar_contradiction_clause,[],[f4940]) ).
fof(f4940,plain,
( $false
| ~ spl13_31 ),
inference(subsumption_resolution,[],[f4938,f330]) ).
fof(f330,plain,
nbr_proc = host(sK6),
inference(forward_demodulation,[],[f204,f205]) ).
fof(f204,plain,
host(sK8) = host(sK6),
inference(cnf_transformation,[],[f151]) ).
fof(f4938,plain,
( nbr_proc != host(sK6)
| ~ spl13_31 ),
inference(resolution,[],[f4935,f208]) ).
fof(f4935,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| host(X0) != nbr_proc )
| ~ spl13_31 ),
inference(subsumption_resolution,[],[f4929,f197]) ).
fof(f4929,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ setIn(sK3,alive)
| ~ elem(m_Down(X0),sK2) )
| ~ spl13_31 ),
inference(resolution,[],[f4167,f446]) ).
fof(f446,plain,
! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) ),
inference(superposition,[],[f303,f196]) ).
fof(f303,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f4167,plain,
( ! [X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| nbr_proc != host(X9)
| ~ setIn(X8,alive) )
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f4166]) ).
fof(f4873,plain,
( spl13_32
| spl13_31 ),
inference(avatar_split_clause,[],[f4806,f4166,f4871]) ).
fof(f4806,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| nbr_proc != host(X11)
| nbr_proc != host(X9)
| ~ elem(m_Down(X10),queue(nbr_proc))
| host(X10) != sK9(X10,X11) ),
inference(subsumption_resolution,[],[f322,f336]) ).
fof(f322,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X11)
| nbr_proc != host(X9)
| ~ elem(m_Down(X10),queue(nbr_proc))
| host(X10) != sK9(X10,X11) ),
inference(inner_rewriting,[],[f195]) ).
fof(f195,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| host(X10) != sK9(X10,X11) ),
inference(cnf_transformation,[],[f151]) ).
fof(f4168,plain,
( spl13_30
| spl13_31 ),
inference(avatar_split_clause,[],[f3756,f4166,f4163]) ).
fof(f3756,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| nbr_proc != host(X11)
| nbr_proc != host(X9)
| ~ elem(m_Down(X10),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X10,X11)) ),
inference(subsumption_resolution,[],[f325,f336]) ).
fof(f325,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X11)
| nbr_proc != host(X9)
| ~ elem(m_Down(X10),queue(nbr_proc))
| ~ leq(nbr_proc,sK9(X10,X11)) ),
inference(inner_rewriting,[],[f192]) ).
fof(f192,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| nbr_proc != host(X11)
| host(X11) != host(X9)
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ leq(host(X11),sK9(X10,X11)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1653,plain,
( spl13_10
| ~ spl13_17 ),
inference(avatar_contradiction_clause,[],[f1652]) ).
fof(f1652,plain,
( $false
| spl13_10
| ~ spl13_17 ),
inference(subsumption_resolution,[],[f1649,f824]) ).
fof(f824,plain,
( ~ setIn(sK3,pids)
| spl13_10 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f823,plain,
( spl13_10
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f1649,plain,
( setIn(sK3,pids)
| ~ spl13_17 ),
inference(superposition,[],[f883,f1643]) ).
fof(f883,plain,
( setIn(sK5,pids)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f881,plain,
( spl13_17
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f1519,plain,
( ~ spl13_28
| spl13_29 ),
inference(avatar_split_clause,[],[f1485,f1516,f1512]) ).
fof(f1512,plain,
( spl13_28
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f1516,plain,
( spl13_29
<=> sK8 = index(elid,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f1485,plain,
( sK8 = index(elid,nbr_proc)
| ~ setIn(sK8,alive) ),
inference(forward_demodulation,[],[f1484,f205]) ).
fof(f1484,plain,
( ~ setIn(sK8,alive)
| sK8 = index(elid,host(sK8)) ),
inference(subsumption_resolution,[],[f1477,f336]) ).
fof(f1477,plain,
( elec_1 != index(status,nbr_proc)
| ~ setIn(sK8,alive)
| sK8 = index(elid,host(sK8)) ),
inference(superposition,[],[f186,f205]) ).
fof(f1510,plain,
( ~ spl13_26
| spl13_27 ),
inference(avatar_split_clause,[],[f1483,f1507,f1503]) ).
fof(f1503,plain,
( spl13_26
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f1507,plain,
( spl13_27
<=> sK6 = index(elid,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f1483,plain,
( sK6 = index(elid,nbr_proc)
| ~ setIn(sK6,alive) ),
inference(forward_demodulation,[],[f1482,f330]) ).
fof(f1482,plain,
( ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6)) ),
inference(subsumption_resolution,[],[f1476,f336]) ).
fof(f1476,plain,
( elec_1 != index(status,nbr_proc)
| ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6)) ),
inference(superposition,[],[f186,f330]) ).
fof(f1501,plain,
( ~ spl13_24
| spl13_25 ),
inference(avatar_split_clause,[],[f1479,f1498,f1494]) ).
fof(f1494,plain,
( spl13_24
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f1498,plain,
( spl13_25
<=> sK4 = index(elid,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f1479,plain,
( sK4 = index(elid,nbr_proc)
| ~ setIn(sK4,alive) ),
inference(forward_demodulation,[],[f1478,f328]) ).
fof(f328,plain,
nbr_proc = host(sK4),
inference(forward_demodulation,[],[f200,f205]) ).
fof(f200,plain,
host(sK4) = host(sK8),
inference(cnf_transformation,[],[f151]) ).
fof(f1478,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4)) ),
inference(subsumption_resolution,[],[f1474,f336]) ).
fof(f1474,plain,
( elec_1 != index(status,nbr_proc)
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4)) ),
inference(superposition,[],[f186,f328]) ).
fof(f1184,plain,
( ~ spl13_22
| spl13_23 ),
inference(avatar_split_clause,[],[f989,f1181,f1177]) ).
fof(f1177,plain,
( spl13_22
<=> leq(s(nbr_proc),s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f1181,plain,
( spl13_23
<=> s(zero) = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f989,plain,
( s(zero) = s(nbr_proc)
| ~ leq(s(nbr_proc),s(zero)) ),
inference(resolution,[],[f981,f289]) ).
fof(f289,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/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f981,plain,
leq(s(zero),s(nbr_proc)),
inference(superposition,[],[f954,f328]) ).
fof(f954,plain,
! [X0] : leq(s(zero),s(host(X0))),
inference(resolution,[],[f922,f221]) ).
fof(f221,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/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f922,plain,
! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ),
inference(resolution,[],[f610,f250]) ).
fof(f250,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/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f610,plain,
! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) ),
inference(resolution,[],[f299,f225]) ).
fof(f225,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/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f299,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/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f1154,plain,
( ~ spl13_21
| spl13_3 ),
inference(avatar_split_clause,[],[f1144,f361,f1151]) ).
fof(f1151,plain,
( spl13_21
<=> nbr_proc = s(nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f1144,plain,
! [X0] :
( host(X0) != nbr_proc
| nbr_proc != s(nbr_proc) ),
inference(inner_rewriting,[],[f1143]) ).
fof(f1143,plain,
! [X0] :
( host(X0) != nbr_proc
| host(X0) != s(nbr_proc) ),
inference(forward_demodulation,[],[f1139,f328]) ).
fof(f1139,plain,
! [X0] :
( host(X0) != s(nbr_proc)
| host(X0) != host(sK4) ),
inference(superposition,[],[f253,f328]) ).
fof(f253,plain,
! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_01) ).
fof(f909,plain,
( ~ spl13_19
| spl13_20 ),
inference(avatar_split_clause,[],[f576,f906,f902]) ).
fof(f902,plain,
( spl13_19
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f906,plain,
( spl13_20
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f576,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero)) ),
inference(resolution,[],[f289,f217]) ).
fof(f217,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).
fof(f887,plain,
( spl13_17
| spl13_18 ),
inference(avatar_split_clause,[],[f816,f885,f881]) ).
fof(f885,plain,
( spl13_18
<=> ! [X0] : ~ elem(m_Ack(sK5,X0),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f816,plain,
! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK3)))
| setIn(sK5,pids) ),
inference(superposition,[],[f254,f199]) ).
fof(f254,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/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f850,plain,
( spl13_15
| spl13_16 ),
inference(avatar_split_clause,[],[f818,f848,f844]) ).
fof(f844,plain,
( spl13_15
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f848,plain,
( spl13_16
<=> ! [X0] : ~ elem(m_Ack(sK8,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f818,plain,
! [X0] :
( ~ elem(m_Ack(sK8,X0),queue(nbr_proc))
| setIn(sK8,pids) ),
inference(superposition,[],[f254,f205]) ).
fof(f842,plain,
( spl13_13
| spl13_14 ),
inference(avatar_split_clause,[],[f817,f840,f836]) ).
fof(f836,plain,
( spl13_13
<=> setIn(sK6,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f840,plain,
( spl13_14
<=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f817,plain,
! [X0] :
( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
| setIn(sK6,pids) ),
inference(superposition,[],[f254,f330]) ).
fof(f834,plain,
( spl13_11
| spl13_12 ),
inference(avatar_split_clause,[],[f815,f832,f828]) ).
fof(f828,plain,
( spl13_11
<=> setIn(sK4,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f832,plain,
( spl13_12
<=> ! [X0] : ~ elem(m_Ack(sK4,X0),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f815,plain,
! [X0] :
( ~ elem(m_Ack(sK4,X0),queue(nbr_proc))
| setIn(sK4,pids) ),
inference(superposition,[],[f254,f328]) ).
fof(f826,plain,
( spl13_9
| spl13_10 ),
inference(avatar_split_clause,[],[f814,f823,f820]) ).
fof(f820,plain,
( spl13_9
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f814,plain,
! [X0] :
( setIn(sK3,pids)
| ~ elem(m_Ack(sK3,X0),sK2) ),
inference(resolution,[],[f254,f446]) ).
fof(f782,plain,
( spl13_7
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f729,f779,f776]) ).
fof(f776,plain,
( spl13_7
<=> ! [X0] : ~ elem(m_Ldr(X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f779,plain,
( spl13_8
<=> leq(host(sK3),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f729,plain,
! [X0] :
( ~ leq(host(sK3),zero)
| ~ elem(m_Ldr(X0),sK2) ),
inference(resolution,[],[f614,f500]) ).
fof(f500,plain,
! [X0] :
( ~ leq(host(sK3),host(X0))
| ~ elem(m_Ldr(X0),sK2) ),
inference(resolution,[],[f182,f446]) ).
fof(f182,plain,
! [X34,X35] :
( ~ elem(m_Ldr(X35),queue(host(X34)))
| ~ leq(host(X34),host(X35)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f614,plain,
! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ),
inference(resolution,[],[f299,f421]) ).
fof(f421,plain,
! [X0] : leq(zero,host(X0)),
inference(resolution,[],[f413,f225]) ).
fof(f413,plain,
! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) ),
inference(resolution,[],[f267,f288]) ).
fof(f288,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/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f267,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/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f592,plain,
( ~ spl13_5
| spl13_6 ),
inference(avatar_split_clause,[],[f580,f589,f585]) ).
fof(f585,plain,
( spl13_5
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f589,plain,
( spl13_6
<=> zero = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f580,plain,
( zero = nbr_proc
| ~ leq(nbr_proc,zero) ),
inference(resolution,[],[f289,f420]) ).
fof(f420,plain,
leq(zero,nbr_proc),
inference(resolution,[],[f413,f217]) ).
fof(f376,plain,
~ spl13_3,
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f375,plain,
( $false
| ~ spl13_3 ),
inference(trivial_inequality_removal,[],[f367]) ).
fof(f367,plain,
( nbr_proc != nbr_proc
| ~ spl13_3 ),
inference(superposition,[],[f362,f328]) ).
fof(f362,plain,
( ! [X31] : nbr_proc != host(X31)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f374,plain,
~ spl13_3,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| ~ spl13_3 ),
inference(trivial_inequality_removal,[],[f369]) ).
fof(f369,plain,
( nbr_proc != nbr_proc
| ~ spl13_3 ),
inference(superposition,[],[f362,f330]) ).
fof(f372,plain,
~ spl13_3,
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| ~ spl13_3 ),
inference(trivial_inequality_removal,[],[f370]) ).
fof(f370,plain,
( nbr_proc != nbr_proc
| ~ spl13_3 ),
inference(superposition,[],[f362,f205]) ).
fof(f366,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f326,f364,f361]) ).
fof(f364,plain,
( spl13_4
<=> ! [X30] : ~ elem(m_NotNorm(X30),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f326,plain,
! [X31,X30] :
( ~ elem(m_NotNorm(X30),queue(nbr_proc))
| nbr_proc != host(X31) ),
inference(inner_rewriting,[],[f184]) ).
fof(f184,plain,
! [X31,X30] :
( ~ elem(m_NotNorm(X30),queue(host(X31)))
| nbr_proc != host(X31) ),
inference(cnf_transformation,[],[f151]) ).
fof(f359,plain,
( spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f346,f356,f352]) ).
fof(f356,plain,
( spl13_2
<=> ordered(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f346,plain,
( ~ ordered(queue(host(sK3)))
| ordered(sK2) ),
inference(superposition,[],[f274,f196]) ).
fof(f274,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/sandbox/benchmark/theBenchmark.p',axiom_53) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV471+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:12:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27089)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (27092)WARNING: value z3 for option sas not known
% 0.22/0.38 % (27091)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (27093)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (27090)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (27095)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)
% 0.22/0.38 % (27096)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)
% 0.22/0.38 % (27092)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)
% 0.22/0.38 % (27094)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)
% 0.22/0.39 Detected minimum model sizes of [4]
% 0.22/0.39 Detected maximum model sizes of [max]
% 0.22/0.39 TRYING [4]
% 0.22/0.42 Detected minimum model sizes of [4]
% 0.22/0.42 Detected maximum model sizes of [max]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [5]
% 0.22/0.53 TRYING [6]
% 1.41/0.61 TRYING [5]
% 2.01/0.64 TRYING [7]
% 3.55/0.89 TRYING [8]
% 4.46/1.00 % (27092)First to succeed.
% 4.46/1.01 % (27092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27089"
% 4.46/1.01 % (27092)Refutation found. Thanks to Tanya!
% 4.46/1.01 % SZS status Theorem for theBenchmark
% 4.46/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.46/1.01 % (27092)------------------------------
% 4.46/1.01 % (27092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.46/1.01 % (27092)Termination reason: Refutation
% 4.46/1.01
% 4.46/1.01 % (27092)Memory used [KB]: 9685
% 4.46/1.01 % (27092)Time elapsed: 0.619 s
% 4.46/1.01 % (27092)Instructions burned: 1860 (million)
% 4.46/1.01 % (27089)Success in time 0.65 s
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