TSTP Solution File: SWV473+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWV473+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 17:43:03 EDT 2024
% Result : Theorem 1.19s 0.53s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of formulae : 134 ( 54 unt; 0 def)
% Number of atoms : 976 ( 473 equ)
% Maximal formula atoms : 134 ( 7 avg)
% Number of connectives : 1383 ( 541 ~; 446 |; 328 &)
% ( 10 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 33 con; 0-2 aty)
% Number of variables : 439 ( 387 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1157,plain,
$false,
inference(avatar_sat_refutation,[],[f573,f590,f679,f790,f1011,f1128,f1131]) ).
fof(f1131,plain,
( spl55_26
| spl55_6
| ~ spl55_16 ),
inference(avatar_split_clause,[],[f1130,f556,f447,f787]) ).
fof(f787,plain,
( spl55_26
<=> sF38 = sF44 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_26])]) ).
fof(f447,plain,
( spl55_6
<=> nbr_proc = sF38 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_6])]) ).
fof(f556,plain,
( spl55_16
<=> ! [X0] :
( host(X0) != sF38
| ~ setIn(host(X0),sF45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).
fof(f1130,plain,
( sF38 = sF44
| spl55_6
| ~ spl55_16 ),
inference(subsumption_resolution,[],[f1129,f888]) ).
fof(f888,plain,
leq(sF46,sF38),
inference(superposition,[],[f416,f356]) ).
fof(f356,plain,
host(sK4) = sF38,
introduced(function_definition,[new_symbols(definition,[sF38])]) ).
fof(f416,plain,
! [X0] : leq(sF46,host(X0)),
inference(forward_demodulation,[],[f218,f369]) ).
fof(f369,plain,
s(zero) = sF46,
introduced(function_definition,[new_symbols(definition,[sF46])]) ).
fof(f218,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',unknown) ).
fof(f1129,plain,
( sF38 = sF44
| ~ leq(sF46,sF38)
| spl55_6
| ~ spl55_16 ),
inference(subsumption_resolution,[],[f1121,f907]) ).
fof(f907,plain,
( ~ setIn(sF38,sF45)
| ~ spl55_16 ),
inference(trivial_inequality_removal,[],[f903]) ).
fof(f903,plain,
( ~ setIn(sF38,sF45)
| sF38 != sF38
| ~ spl55_16 ),
inference(superposition,[],[f557,f356]) ).
fof(f557,plain,
( ! [X0] :
( ~ setIn(host(X0),sF45)
| host(X0) != sF38 )
| ~ spl55_16 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f1121,plain,
( sF38 = sF44
| setIn(sF38,sF45)
| ~ leq(sF46,sF38)
| spl55_6 ),
inference(resolution,[],[f1082,f392]) ).
fof(f392,plain,
! [X8] :
( leq(nbr_proc,X8)
| sF44 = X8
| setIn(X8,sF45)
| ~ leq(sF46,X8) ),
inference(forward_demodulation,[],[f370,f362]) ).
fof(f362,plain,
nbr_proc = sF40,
inference(definition_folding,[],[f198,f359]) ).
fof(f359,plain,
host(sK7) = sF40,
introduced(function_definition,[new_symbols(definition,[sF40])]) ).
fof(f198,plain,
nbr_proc = host(sK7),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( elem(m_Down(sK5),queue(host(sK4)))
& setIn(sK4,alive)
& elec_1 = index(status,host(sK7))
& nbr_proc = host(sK7)
& host(sK7) = host(sK5)
& elem(m_Down(sK6),sK0)
& ! [X8] :
( host(sK6) = X8
| setIn(X8,index(down,host(sK7)))
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) )
& host(sK2) = host(sK7)
& host(sK2) != host(sK4)
& ( host(sK3) != index(pendack,host(sK2))
| elec_2 != index(status,host(sK2))
| sK1 != index(elid,host(sK2)) )
& setIn(sK2,alive)
& queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ( host(X11) != sK8(X11,X12)
& ~ setIn(sK8(X11,X12),index(down,host(X12)))
& leq(s(zero),sK8(X11,X12))
& ~ leq(host(X12),sK8(X11,X12)) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f142,f146,f145,f144,f143]) ).
fof(f143,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),X0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X2) = host(X7) )
& host(X2) != host(X4) )
& ( host(X3) != index(pendack,host(X2))
| elec_2 != index(status,host(X2))
| index(elid,host(X2)) != X1 )
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) )
=> ( ? [X4] :
( ? [X7,X6,X5] :
( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),sK0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) = host(sK2) )
& host(X4) != host(sK2) )
& ( host(sK3) != index(pendack,host(sK2))
| elec_2 != index(status,host(sK2))
| sK1 != index(elid,host(sK2)) )
& setIn(sK2,alive)
& queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X4] :
( ? [X7,X6,X5] :
( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),sK0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) = host(sK2) )
& host(X4) != host(sK2) )
=> ( ? [X7,X6,X5] :
( elem(m_Down(X5),queue(host(sK4)))
& setIn(sK4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),sK0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) = host(sK2) )
& host(sK2) != host(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X7,X6,X5] :
( elem(m_Down(X5),queue(host(sK4)))
& setIn(sK4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),sK0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X7) = host(sK2) )
=> ( elem(m_Down(sK5),queue(host(sK4)))
& setIn(sK4,alive)
& elec_1 = index(status,host(sK7))
& nbr_proc = host(sK7)
& host(sK7) = host(sK5)
& elem(m_Down(sK6),sK0)
& ! [X8] :
( host(sK6) = X8
| setIn(X8,index(down,host(sK7)))
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) )
& host(sK2) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X11,X12] :
( ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) )
=> ( host(X11) != sK8(X11,X12)
& ~ setIn(sK8(X11,X12),index(down,host(X12)))
& leq(s(zero),sK8(X11,X12))
& ~ leq(host(X12),sK8(X11,X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5,X6,X7] :
( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive)
& elec_1 = index(status,host(X7))
& nbr_proc = host(X7)
& host(X5) = host(X7)
& elem(m_Down(X6),X0)
& ! [X8] :
( host(X6) = X8
| setIn(X8,index(down,host(X7)))
| ~ leq(s(zero),X8)
| leq(host(X7),X8) )
& host(X2) = host(X7) )
& host(X2) != host(X4) )
& ( host(X3) != index(pendack,host(X2))
| elec_2 != index(status,host(X2))
| index(elid,host(X2)) != X1 )
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( ~ elem(m_Down(X10),queue(host(X9)))
| ~ setIn(X9,alive)
| elec_1 != index(status,host(X12))
| host(X12) != host(X10)
| nbr_proc != host(X12)
| ~ elem(m_Down(X11),queue(host(X12)))
| ? [X13] :
( host(X11) != X13
& ~ setIn(X13,index(down,host(X12)))
& leq(s(zero),X13)
& ~ leq(host(X12),X13) ) )
& ! [X14,X15,X16,X17] :
( ~ setIn(host(X15),index(down,host(X16)))
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(X16,alive)
| ~ setIn(X14,alive)
| host(X14) = host(X16) )
& ! [X18,X19,X20,X21] :
( ~ elem(m_Down(X19),queue(host(X20)))
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive)
| host(X18) = host(X20) )
& ! [X22,X23,X24] :
( ~ elem(m_Down(X22),queue(host(X23)))
| host(X23) != host(index(elid,host(X24)))
| wait != index(status,host(X24))
| host(X22) != host(X24)
| ~ setIn(X24,alive)
| host(X23) = host(X24) )
& ! [X25,X26,X27] :
( ~ elem(m_Down(X25),queue(host(X26)))
| host(X26) != index(ldr,host(X27))
| norm != index(status,host(X27))
| host(X25) != host(X27)
| ~ setIn(X27,alive)
| host(X27) = host(X26) )
& ! [X28] :
( index(elid,host(X28)) = X28
| ~ setIn(X28,alive)
| ( elec_2 != index(status,host(X28))
& elec_1 != index(status,host(X28)) ) )
& ! [X29,X30] :
( ~ setIn(X30,alive)
| ~ setIn(X29,alive)
| host(X29) != host(X30)
| X29 = X30 )
& ! [X31,X32] :
( ~ elem(m_NotNorm(X31),queue(host(X32)))
| nbr_proc != host(X32) )
& ! [X33,X34] :
( host(X33) != host(X34)
| ~ elem(m_Down(X34),queue(host(X33))) )
& ! [X35,X36] :
( ~ leq(host(X35),host(X36))
| ~ elem(m_Ldr(X36),queue(host(X35))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X32] :
( ? [X33,X34,X35] :
( elem(m_Down(X33),queue(host(X32)))
& setIn(X32,alive)
& elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),X0)
& ! [X36] :
( host(X34) = X36
| setIn(X36,index(down,host(X35)))
| ~ leq(s(zero),X36)
| leq(host(X35),X36) )
& host(X2) = host(X35) )
& host(X2) != host(X32) )
& ( host(X3) != index(pendack,host(X2))
| elec_2 != index(status,host(X2))
| index(elid,host(X2)) != X1 )
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X4)))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != host(X7)
| nbr_proc != host(X7)
| ~ elem(m_Down(X6),queue(host(X7)))
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X17),queue(host(X18)))
| host(X18) != host(index(elid,host(X19)))
| wait != index(status,host(X19))
| host(X19) != host(X17)
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22] :
( ~ elem(m_Down(X20),queue(host(X21)))
| host(X21) != index(ldr,host(X22))
| norm != index(status,host(X22))
| host(X22) != host(X20)
| ~ setIn(X22,alive)
| host(X21) = host(X22) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ~ setIn(X23,alive)
| ( elec_2 != index(status,host(X23))
& elec_1 != index(status,host(X23)) ) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| X24 = X25 )
& ! [X26,X27] :
( ~ elem(m_NotNorm(X26),queue(host(X27)))
| nbr_proc != host(X27) )
& ! [X28,X29] :
( host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X28))) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X32] :
( ? [X33,X34,X35] :
( elem(m_Down(X33),queue(host(X32)))
& setIn(X32,alive)
& elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),X0)
& ! [X36] :
( host(X34) = X36
| setIn(X36,index(down,host(X35)))
| ~ leq(s(zero),X36)
| leq(host(X35),X36) )
& host(X2) = host(X35) )
& host(X2) != host(X32) )
& ( host(X3) != index(pendack,host(X2))
| elec_2 != index(status,host(X2))
| index(elid,host(X2)) != X1 )
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X4)))
| ~ setIn(X4,alive)
| elec_1 != index(status,host(X7))
| host(X5) != host(X7)
| nbr_proc != host(X7)
| ~ elem(m_Down(X6),queue(host(X7)))
| ? [X8] :
( host(X6) != X8
& ~ setIn(X8,index(down,host(X7)))
& leq(s(zero),X8)
& ~ leq(host(X7),X8) ) )
& ! [X9,X10,X11,X12] :
( ~ setIn(host(X10),index(down,host(X11)))
| ~ elem(m_Down(X12),queue(host(X9)))
| host(X12) != host(X11)
| host(X9) != host(X10)
| ~ setIn(X11,alive)
| ~ setIn(X9,alive)
| host(X11) = host(X9) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X15)))
| ~ elem(m_Down(X16),queue(host(X13)))
| host(X15) != host(X16)
| host(X13) != host(X14)
| ~ setIn(X15,alive)
| ~ setIn(X13,alive)
| host(X13) = host(X15) )
& ! [X17,X18,X19] :
( ~ elem(m_Down(X17),queue(host(X18)))
| host(X18) != host(index(elid,host(X19)))
| wait != index(status,host(X19))
| host(X19) != host(X17)
| ~ setIn(X19,alive)
| host(X19) = host(X18) )
& ! [X20,X21,X22] :
( ~ elem(m_Down(X20),queue(host(X21)))
| host(X21) != index(ldr,host(X22))
| norm != index(status,host(X22))
| host(X22) != host(X20)
| ~ setIn(X22,alive)
| host(X21) = host(X22) )
& ! [X23] :
( index(elid,host(X23)) = X23
| ~ setIn(X23,alive)
| ( elec_2 != index(status,host(X23))
& elec_1 != index(status,host(X23)) ) )
& ! [X24,X25] :
( ~ setIn(X25,alive)
| ~ setIn(X24,alive)
| host(X24) != host(X25)
| X24 = X25 )
& ! [X26,X27] :
( ~ elem(m_NotNorm(X26),queue(host(X27)))
| nbr_proc != host(X27) )
& ! [X28,X29] :
( host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X28))) )
& ! [X30,X31] :
( ~ leq(host(X30),host(X31))
| ~ elem(m_Ldr(X31),queue(host(X30))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ( elec_1 = index(status,host(X7))
& host(X5) = host(X7)
& nbr_proc = host(X7)
& elem(m_Down(X6),queue(host(X7)))
& ! [X8] :
( ( leq(s(zero),X8)
& ~ leq(host(X7),X8) )
=> ( host(X6) = X8
| setIn(X8,index(down,host(X7))) ) ) )
=> ~ ( elem(m_Down(X5),queue(host(X4)))
& setIn(X4,alive) ) )
& ! [X9,X10,X11,X12] :
( ( host(X12) = host(X11)
& host(X9) = host(X10)
& setIn(X11,alive)
& setIn(X9,alive)
& host(X11) != host(X9) )
=> ~ ( setIn(host(X10),index(down,host(X11)))
& elem(m_Down(X12),queue(host(X9))) ) )
& ! [X13,X14,X15,X16] :
( ( host(X15) = host(X16)
& host(X13) = host(X14)
& setIn(X15,alive)
& setIn(X13,alive)
& host(X13) != host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X15)))
& elem(m_Down(X16),queue(host(X13))) ) )
& ! [X17,X18,X19] :
( ( host(X18) = host(index(elid,host(X19)))
& wait = index(status,host(X19))
& host(X19) = host(X17)
& setIn(X19,alive)
& host(X19) != host(X18) )
=> ~ elem(m_Down(X17),queue(host(X18))) )
& ! [X20,X21,X22] :
( ( host(X21) = index(ldr,host(X22))
& norm = index(status,host(X22))
& host(X22) = host(X20)
& setIn(X22,alive)
& host(X21) != host(X22) )
=> ~ elem(m_Down(X20),queue(host(X21))) )
& ! [X23] :
( ( setIn(X23,alive)
& ( elec_2 = index(status,host(X23))
| elec_1 = index(status,host(X23)) ) )
=> index(elid,host(X23)) = X23 )
& ! [X24,X25] :
( ( host(X24) = host(X25)
& X24 != X25 )
=> ( ~ setIn(X25,alive)
| ~ setIn(X24,alive) ) )
& ! [X26,X27] :
( nbr_proc = host(X27)
=> ~ elem(m_NotNorm(X26),queue(host(X27))) )
& ! [X28,X29] :
( elem(m_Down(X29),queue(host(X28)))
=> host(X28) != host(X29) )
& ! [X30,X31] :
( elem(m_Ldr(X31),queue(host(X30)))
=> ~ leq(host(X30),host(X31)) ) )
=> ( setIn(X2,alive)
=> ( ~ ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ! [X32] :
( host(X2) != host(X32)
=> ! [X33,X34,X35] :
( host(X2) = host(X35)
=> ( ( elec_1 = index(status,host(X35))
& nbr_proc = host(X35)
& host(X35) = host(X33)
& elem(m_Down(X34),X0)
& ! [X36] :
( ( leq(s(zero),X36)
& ~ leq(host(X35),X36) )
=> ( host(X34) = X36
| setIn(X36,index(down,host(X35))) ) ) )
=> ~ ( elem(m_Down(X33),queue(host(X32)))
& setIn(X32,alive) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [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,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6,X14,X13] :
( ( host(X14) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( nbr_proc = host(X13)
=> ~ elem(m_NotNorm(X6),queue(host(X13))) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X17,X18,X19] :
( host(X4) = host(X19)
=> ( ( elec_1 = index(status,host(X19))
& nbr_proc = host(X19)
& host(X19) = host(X17)
& elem(m_Down(X18),X11)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X19),X16) )
=> ( host(X18) = X16
| setIn(X16,index(down,host(X19))) ) ) )
=> ~ ( elem(m_Down(X17),queue(host(X6)))
& setIn(X6,alive) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( setIn(host(X15),index(down,host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [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,X14,X13] :
( ( host(X14) = host(index(elid,host(X13)))
& wait = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6,X14,X13] :
( ( host(X14) = index(ldr,host(X13))
& norm = index(status,host(X13))
& host(X6) = host(X13)
& setIn(X13,alive)
& host(X13) != host(X14) )
=> ~ elem(m_Down(X6),queue(host(X14))) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( nbr_proc = host(X13)
=> ~ elem(m_NotNorm(X6),queue(host(X13))) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ~ ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X17,X18,X19] :
( host(X4) = host(X19)
=> ( ( elec_1 = index(status,host(X19))
& nbr_proc = host(X19)
& host(X19) = host(X17)
& elem(m_Down(X18),X11)
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X19),X16) )
=> ( host(X18) = X16
| setIn(X16,index(down,host(X19))) ) ) )
=> ~ ( elem(m_Down(X17),queue(host(X6)))
& setIn(X6,alive) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f370,plain,
! [X8] :
( sF44 = X8
| setIn(X8,sF45)
| ~ leq(sF46,X8)
| leq(sF40,X8) ),
inference(definition_folding,[],[f195,f359,f369,f368,f359,f367]) ).
fof(f367,plain,
host(sK6) = sF44,
introduced(function_definition,[new_symbols(definition,[sF44])]) ).
fof(f368,plain,
index(down,sF40) = sF45,
introduced(function_definition,[new_symbols(definition,[sF45])]) ).
fof(f195,plain,
! [X8] :
( host(sK6) = X8
| setIn(X8,index(down,host(sK7)))
| ~ leq(s(zero),X8)
| leq(host(sK7),X8) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1082,plain,
( ~ leq(nbr_proc,sF38)
| spl55_6 ),
inference(subsumption_resolution,[],[f1071,f449]) ).
fof(f449,plain,
( nbr_proc != sF38
| spl55_6 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f1071,plain,
( nbr_proc = sF38
| ~ leq(nbr_proc,sF38) ),
inference(resolution,[],[f278,f694]) ).
fof(f694,plain,
leq(sF38,nbr_proc),
inference(superposition,[],[f215,f356]) ).
fof(f215,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f278,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f170]) ).
fof(f170,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',unknown) ).
fof(f1128,plain,
( spl55_17
| spl55_6 ),
inference(avatar_split_clause,[],[f692,f447,f640]) ).
fof(f640,plain,
( spl55_17
<=> ! [X1] :
( ~ elem(m_Down(X1),sF51)
| host(X1) != sF38 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).
fof(f692,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sF51)
| host(X0) != sF38 )
| spl55_6 ),
inference(forward_demodulation,[],[f691,f398]) ).
fof(f398,plain,
sF51 = queue(nbr_proc),
inference(backward_demodulation,[],[f378,f393]) ).
fof(f393,plain,
nbr_proc = sF47,
inference(forward_demodulation,[],[f372,f362]) ).
fof(f372,plain,
sF40 = sF47,
inference(definition_folding,[],[f194,f359,f371]) ).
fof(f371,plain,
host(sK2) = sF47,
introduced(function_definition,[new_symbols(definition,[sF47])]) ).
fof(f194,plain,
host(sK2) = host(sK7),
inference(cnf_transformation,[],[f147]) ).
fof(f378,plain,
queue(sF47) = sF51,
introduced(function_definition,[new_symbols(definition,[sF51])]) ).
fof(f691,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(nbr_proc))
| host(X0) != sF38 )
| spl55_6 ),
inference(forward_demodulation,[],[f690,f394]) ).
fof(f394,plain,
nbr_proc = host(sK2),
inference(backward_demodulation,[],[f371,f393]) ).
fof(f690,plain,
( ! [X0] :
( host(X0) != sF38
| ~ elem(m_Down(X0),queue(host(sK2))) )
| spl55_6 ),
inference(subsumption_resolution,[],[f689,f449]) ).
fof(f689,plain,
! [X0] :
( nbr_proc = sF38
| host(X0) != sF38
| ~ elem(m_Down(X0),queue(host(sK2))) ),
inference(forward_demodulation,[],[f688,f394]) ).
fof(f688,plain,
! [X0] :
( host(X0) != sF38
| host(sK2) = sF38
| ~ elem(m_Down(X0),queue(host(sK2))) ),
inference(subsumption_resolution,[],[f686,f394]) ).
fof(f686,plain,
! [X0] :
( host(X0) != sF38
| host(sK2) = sF38
| nbr_proc != host(sK2)
| ~ elem(m_Down(X0),queue(host(sK2))) ),
inference(resolution,[],[f676,f191]) ).
fof(f191,plain,
setIn(sK2,alive),
inference(cnf_transformation,[],[f147]) ).
fof(f676,plain,
! [X0,X1] :
( ~ setIn(X1,alive)
| host(X0) != sF38
| host(X1) = sF38
| nbr_proc != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ),
inference(forward_demodulation,[],[f675,f391]) ).
fof(f391,plain,
nbr_proc = host(sK5),
inference(backward_demodulation,[],[f363,f390]) ).
fof(f390,plain,
nbr_proc = sF42,
inference(forward_demodulation,[],[f364,f362]) ).
fof(f364,plain,
sF40 = sF42,
inference(definition_folding,[],[f197,f363,f359]) ).
fof(f197,plain,
host(sK7) = host(sK5),
inference(cnf_transformation,[],[f147]) ).
fof(f363,plain,
host(sK5) = sF42,
introduced(function_definition,[new_symbols(definition,[sF42])]) ).
fof(f675,plain,
! [X0,X1] :
( host(X0) != sF38
| host(X1) = sF38
| host(X1) != host(sK5)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) ),
inference(subsumption_resolution,[],[f666,f358]) ).
fof(f358,plain,
elem(sF37,sF39),
inference(definition_folding,[],[f201,f357,f356,f355]) ).
fof(f355,plain,
m_Down(sK5) = sF37,
introduced(function_definition,[new_symbols(definition,[sF37])]) ).
fof(f357,plain,
queue(sF38) = sF39,
introduced(function_definition,[new_symbols(definition,[sF39])]) ).
fof(f201,plain,
elem(m_Down(sK5),queue(host(sK4))),
inference(cnf_transformation,[],[f147]) ).
fof(f666,plain,
! [X0,X1] :
( ~ elem(sF37,sF39)
| host(X0) != sF38
| host(X1) = sF38
| host(X1) != host(sK5)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) ),
inference(superposition,[],[f536,f355]) ).
fof(f536,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X0),sF39)
| host(X2) != sF38
| host(X1) = sF38
| host(X0) != host(X1)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1))) ),
inference(forward_demodulation,[],[f535,f356]) ).
fof(f535,plain,
! [X2,X0,X1] :
( host(X2) != sF38
| ~ elem(m_Down(X0),sF39)
| host(X0) != host(X1)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| host(X1) = host(sK4) ),
inference(forward_demodulation,[],[f534,f356]) ).
fof(f534,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X0),sF39)
| host(X0) != host(X1)
| host(X2) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| host(X1) = host(sK4) ),
inference(forward_demodulation,[],[f533,f357]) ).
fof(f533,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X0),queue(sF38))
| host(X0) != host(X1)
| host(X2) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| host(X1) = host(sK4) ),
inference(forward_demodulation,[],[f528,f356]) ).
fof(f528,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK4)))
| host(X0) != host(X1)
| host(X2) != host(sK4)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| host(X1) = host(sK4) ),
inference(resolution,[],[f184,f200]) ).
fof(f200,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f147]) ).
fof(f184,plain,
! [X21,X18,X19,X20] :
( ~ setIn(X18,alive)
| ~ elem(m_Down(X21),queue(host(X18)))
| host(X21) != host(X20)
| host(X19) != host(X18)
| ~ setIn(X20,alive)
| ~ elem(m_Down(X19),queue(host(X20)))
| host(X18) = host(X20) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1011,plain,
spl55_21,
inference(avatar_split_clause,[],[f1008,f763]) ).
fof(f763,plain,
( spl55_21
<=> elem(sF43,sF51) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_21])]) ).
fof(f1008,plain,
elem(sF43,sF51),
inference(resolution,[],[f1007,f366]) ).
fof(f366,plain,
elem(sF43,sK0),
inference(definition_folding,[],[f196,f365]) ).
fof(f365,plain,
m_Down(sK6) = sF43,
introduced(function_definition,[new_symbols(definition,[sF43])]) ).
fof(f196,plain,
elem(m_Down(sK6),sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f1007,plain,
! [X0] :
( ~ elem(X0,sK0)
| elem(X0,sF51) ),
inference(superposition,[],[f295,f414]) ).
fof(f414,plain,
sF51 = cons(sF52,sK0),
inference(backward_demodulation,[],[f380,f381]) ).
fof(f381,plain,
sF51 = sF53,
inference(definition_folding,[],[f190,f380,f379,f378,f371]) ).
fof(f379,plain,
m_Ack(sK1,sK3) = sF52,
introduced(function_definition,[new_symbols(definition,[sF52])]) ).
fof(f190,plain,
queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0),
inference(cnf_transformation,[],[f147]) ).
fof(f380,plain,
cons(sF52,sK0) = sF53,
introduced(function_definition,[new_symbols(definition,[sF53])]) ).
fof(f295,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f790,plain,
( ~ spl55_21
| ~ spl55_26
| ~ spl55_17 ),
inference(avatar_split_clause,[],[f785,f640,f787,f763]) ).
fof(f785,plain,
( sF38 != sF44
| ~ elem(sF43,sF51)
| ~ spl55_17 ),
inference(forward_demodulation,[],[f755,f367]) ).
fof(f755,plain,
( ~ elem(sF43,sF51)
| host(sK6) != sF38
| ~ spl55_17 ),
inference(superposition,[],[f641,f365]) ).
fof(f641,plain,
( ! [X1] :
( ~ elem(m_Down(X1),sF51)
| host(X1) != sF38 )
| ~ spl55_17 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f679,plain,
~ spl55_15,
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl55_15 ),
inference(subsumption_resolution,[],[f677,f391]) ).
fof(f677,plain,
( nbr_proc != host(sK5)
| ~ spl55_15 ),
inference(subsumption_resolution,[],[f667,f358]) ).
fof(f667,plain,
( ~ elem(sF37,sF39)
| nbr_proc != host(sK5)
| ~ spl55_15 ),
inference(superposition,[],[f554,f355]) ).
fof(f554,plain,
( ! [X1] :
( ~ elem(m_Down(X1),sF39)
| nbr_proc != host(X1) )
| ~ spl55_15 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f553,plain,
( spl55_15
<=> ! [X1] :
( ~ elem(m_Down(X1),sF39)
| nbr_proc != host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).
fof(f590,plain,
~ spl55_6,
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| ~ spl55_6 ),
inference(subsumption_resolution,[],[f575,f418]) ).
fof(f418,plain,
~ sP12(nbr_proc),
inference(forward_demodulation,[],[f385,f393]) ).
fof(f385,plain,
~ sP12(sF47),
inference(definition_folding,[],[f298,f371]) ).
fof(f298,plain,
~ sP12(host(sK2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP12])]) ).
fof(f575,plain,
( sP12(nbr_proc)
| ~ spl55_6 ),
inference(backward_demodulation,[],[f373,f448]) ).
fof(f448,plain,
( nbr_proc = sF38
| ~ spl55_6 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f373,plain,
sP12(sF38),
inference(definition_folding,[],[f299,f356]) ).
fof(f299,plain,
sP12(host(sK4)),
inference(inequality_splitting,[],[f193,f298]) ).
fof(f193,plain,
host(sK2) != host(sK4),
inference(cnf_transformation,[],[f147]) ).
fof(f573,plain,
( spl55_15
| spl55_16
| spl55_6 ),
inference(avatar_split_clause,[],[f562,f447,f556,f553]) ).
fof(f562,plain,
! [X0,X1] :
( nbr_proc = sF38
| host(X0) != sF38
| ~ elem(m_Down(X1),sF39)
| ~ setIn(host(X0),sF45)
| nbr_proc != host(X1) ),
inference(forward_demodulation,[],[f561,f356]) ).
fof(f561,plain,
! [X0,X1] :
( host(X0) != sF38
| ~ elem(m_Down(X1),sF39)
| ~ setIn(host(X0),sF45)
| nbr_proc != host(X1)
| nbr_proc = host(sK4) ),
inference(forward_demodulation,[],[f560,f356]) ).
fof(f560,plain,
! [X0,X1] :
( ~ elem(m_Down(X1),sF39)
| ~ setIn(host(X0),sF45)
| nbr_proc != host(X1)
| host(X0) != host(sK4)
| nbr_proc = host(sK4) ),
inference(forward_demodulation,[],[f559,f357]) ).
fof(f559,plain,
! [X0,X1] :
( ~ elem(m_Down(X1),queue(sF38))
| ~ setIn(host(X0),sF45)
| nbr_proc != host(X1)
| host(X0) != host(sK4)
| nbr_proc = host(sK4) ),
inference(forward_demodulation,[],[f547,f356]) ).
fof(f547,plain,
! [X0,X1] :
( ~ setIn(host(X0),sF45)
| nbr_proc != host(X1)
| ~ elem(m_Down(X1),queue(host(sK4)))
| host(X0) != host(sK4)
| nbr_proc = host(sK4) ),
inference(resolution,[],[f542,f200]) ).
fof(f542,plain,
! [X2,X0,X1] :
( ~ setIn(X1,alive)
| ~ setIn(host(X2),sF45)
| host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X2) != host(X1)
| nbr_proc = host(X1) ),
inference(forward_demodulation,[],[f541,f394]) ).
fof(f541,plain,
! [X2,X0,X1] :
( ~ setIn(host(X2),sF45)
| host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X2) != host(X1)
| ~ setIn(X1,alive)
| host(X1) = host(sK2) ),
inference(forward_demodulation,[],[f540,f389]) ).
fof(f389,plain,
sF45 = index(down,nbr_proc),
inference(backward_demodulation,[],[f368,f362]) ).
fof(f540,plain,
! [X2,X0,X1] :
( ~ setIn(host(X2),index(down,nbr_proc))
| host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X2) != host(X1)
| ~ setIn(X1,alive)
| host(X1) = host(sK2) ),
inference(forward_demodulation,[],[f539,f394]) ).
fof(f539,plain,
! [X2,X0,X1] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(X1)))
| host(X2) != host(X1)
| ~ setIn(host(X2),index(down,host(sK2)))
| ~ setIn(X1,alive)
| host(X1) = host(sK2) ),
inference(forward_demodulation,[],[f537,f394]) ).
fof(f537,plain,
! [X2,X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| host(X0) != host(sK2)
| host(X2) != host(X1)
| ~ setIn(host(X2),index(down,host(sK2)))
| ~ setIn(X1,alive)
| host(X1) = host(sK2) ),
inference(resolution,[],[f185,f191]) ).
fof(f185,plain,
! [X16,X14,X17,X15] :
( ~ setIn(X16,alive)
| ~ elem(m_Down(X17),queue(host(X14)))
| host(X17) != host(X16)
| host(X14) != host(X15)
| ~ setIn(host(X15),index(down,host(X16)))
| ~ setIn(X14,alive)
| host(X14) = host(X16) ),
inference(cnf_transformation,[],[f147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV473+1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 15:15:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15425)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.21/0.42 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15423)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.42 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15421)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.21/0.42 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15424)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.21/0.42 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15420)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.21/0.42 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15426)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.21/0.42 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15422)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.21/0.47 % (15423)Instruction limit reached!
% 0.21/0.47 % (15423)------------------------------
% 0.21/0.47 % (15423)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (15423)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (15423)Termination reason: Time limit
% 0.21/0.47 % (15423)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (15423)Memory used [KB]: 2326
% 0.21/0.47 % (15423)Time elapsed: 0.055 s
% 0.21/0.47 % (15423)Instructions burned: 105 (million)
% 0.21/0.47 % (15426)Instruction limit reached!
% 0.21/0.47 % (15426)------------------------------
% 0.21/0.47 % (15426)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (15426)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (15426)Termination reason: Time limit
% 0.21/0.47 % (15426)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (15426)Memory used [KB]: 2229
% 0.21/0.47 % (15426)Time elapsed: 0.055 s
% 0.21/0.47 % (15426)Instructions burned: 130 (million)
% 0.21/0.47 % (15424)Instruction limit reached!
% 0.21/0.47 % (15424)------------------------------
% 0.21/0.47 % (15424)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (15424)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (15424)Termination reason: Time limit
% 0.21/0.47 % (15424)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (15424)Memory used [KB]: 1980
% 0.21/0.47 % (15424)Time elapsed: 0.056 s
% 0.21/0.47 % (15425)Instruction limit reached!
% 0.21/0.47 % (15425)------------------------------
% 0.21/0.47 % (15425)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (15424)Instructions burned: 121 (million)
% 0.21/0.47 % (15425)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (15425)Termination reason: Time limit
% 0.21/0.47 % (15425)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (15425)Memory used [KB]: 1967
% 0.21/0.47 % (15425)Time elapsed: 0.056 s
% 0.21/0.47 % (15425)Instructions burned: 114 (million)
% 0.21/0.51 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (15428)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2998ds/205Mi)
% 0.21/0.51 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (15429)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2998ds/180Mi)
% 0.21/0.51 % (15419)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (15430)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/143Mi)
% 1.19/0.52 % (15419)Running in auto input_syntax mode. Trying TPTP
% 1.19/0.52 % (15427)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2998ds/123Mi)
% 1.19/0.53 % (15429)First to succeed.
% 1.19/0.53 % (15429)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15419"
% 1.19/0.53 % (15419)Running in auto input_syntax mode. Trying TPTP
% 1.19/0.53 % (15429)Refutation found. Thanks to Tanya!
% 1.19/0.53 % SZS status Theorem for theBenchmark
% 1.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.53 % (15429)------------------------------
% 1.19/0.53 % (15429)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.19/0.53 % (15429)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.19/0.53 % (15429)Termination reason: Refutation
% 1.19/0.53
% 1.19/0.53 % (15429)Memory used [KB]: 1740
% 1.19/0.53 % (15429)Time elapsed: 0.021 s
% 1.19/0.53 % (15429)Instructions burned: 54 (million)
% 1.19/0.53 % (15429)------------------------------
% 1.19/0.53 % (15429)------------------------------
% 1.19/0.53 % (15419)Success in time 0.155 s
%------------------------------------------------------------------------------