TSTP Solution File: SWV448+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV448+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:59:06 EDT 2022
% Result : Theorem 0.17s 0.58s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 87 ( 21 unt; 0 def)
% Number of atoms : 902 ( 445 equ)
% Maximal formula atoms : 130 ( 10 avg)
% Number of connectives : 1316 ( 501 ~; 405 |; 344 &)
% ( 4 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 19 con; 0-2 aty)
% Number of variables : 317 ( 275 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f774,plain,
$false,
inference(subsumption_resolution,[],[f773,f203]) ).
fof(f203,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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',axiom_04) ).
fof(f773,plain,
~ leq(host(sK6),nbr_proc),
inference(forward_demodulation,[],[f772,f771]) ).
fof(f771,plain,
nbr_proc = host(sK1),
inference(subsumption_resolution,[],[f770,f203]) ).
fof(f770,plain,
( nbr_proc = host(sK1)
| ~ leq(host(sK1),nbr_proc) ),
inference(resolution,[],[f305,f240]) ).
fof(f240,plain,
leq(nbr_proc,host(sK1)),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ! [X3] :
( setIn(X3,index(down,host(sK1)))
| ~ leq(s(zero),X3)
| host(sK2) = X3
| leq(host(sK1),X3) )
& ! [X4,X5,X6] :
( norm != index(status,host(X5))
| elec_2 != index(status,host(X6))
| ~ elem(m_Ack(X6,X4),queue(host(X6)))
| ~ setIn(X6,alive)
| ~ setIn(X5,alive)
| host(X4) != index(pendack,host(X6))
| ~ leq(nbr_proc,index(pendack,host(X6)))
| host(X5) != index(ldr,host(X5)) )
& ( host(sK2) != host(index(elid,host(sK1)))
| wait != index(status,host(sK1)) )
& leq(nbr_proc,host(sK1))
& setIn(sK1,alive)
& ~ setIn(host(sK4),setEmpty)
& norm = index(status,host(sK6))
& setIn(sK5,alive)
& host(sK6) != host(sK1)
& host(sK6) = index(ldr,host(sK6))
& sK6 != sK5
& host(sK1) = host(sK5)
& setIn(sK6,alive)
& host(sK1) = host(sK5)
& ! [X10,X11,X12] :
( norm != index(status,host(X11))
| ~ elem(m_Down(X10),queue(host(X12)))
| elec_2 != index(status,host(X12))
| ~ setIn(X12,alive)
| ~ leq(nbr_proc,index(pendack,host(X12)))
| index(ldr,host(X11)) != host(X11)
| ~ setIn(X11,alive)
| host(X10) != index(pendack,host(X12)) )
& ! [X13,X14,X15] :
( norm != index(status,host(X15))
| leq(host(X14),host(X15))
| ( ~ setIn(sK7(X13,X14),index(down,host(X14)))
& leq(s(zero),sK7(X13,X14))
& host(X13) != sK7(X13,X14)
& ~ leq(host(X14),sK7(X13,X14)) )
| elec_1 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ elem(m_Down(X13),queue(host(X14)))
| host(X15) != index(ldr,host(X15)) )
& ! [X17] :
( index(elid,host(X17)) = X17
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X17))
& elec_1 != index(status,host(X17)) ) )
& ! [X18,X19] :
( ~ setIn(X19,alive)
| ~ setIn(X18,alive)
| X18 = X19
| host(X19) != host(X18) )
& queue(host(sK1)) = cons(m_Down(sK2),sK3)
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Ldr(X21),queue(host(X20))) )
& ! [X22,X23] :
( index(ldr,host(X22)) != host(X22)
| norm != index(status,host(X23))
| norm != index(status,host(X22))
| ~ setIn(X22,alive)
| index(ldr,host(X23)) != host(X23)
| X22 = X23
| ~ setIn(X23,alive) )
& elec_1 = index(status,host(sK1))
& ( host(sK2) != index(ldr,host(sK1))
| norm != index(status,host(sK1)) )
& ~ leq(host(sK1),host(sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f155,f160,f159,f158,f157,f156]) ).
fof(f156,plain,
( ? [X0,X1,X2] :
( ! [X3] :
( setIn(X3,index(down,host(X0)))
| ~ leq(s(zero),X3)
| host(X1) = X3
| leq(host(X0),X3) )
& ! [X4,X5,X6] :
( norm != index(status,host(X5))
| elec_2 != index(status,host(X6))
| ~ elem(m_Ack(X6,X4),queue(host(X6)))
| ~ setIn(X6,alive)
| ~ setIn(X5,alive)
| host(X4) != index(pendack,host(X6))
| ~ leq(nbr_proc,index(pendack,host(X6)))
| host(X5) != index(ldr,host(X5)) )
& ( host(X1) != host(index(elid,host(X0)))
| wait != index(status,host(X0)) )
& leq(nbr_proc,host(X0))
& setIn(X0,alive)
& ? [X7] :
( ~ setIn(host(X7),setEmpty)
& ? [X8] :
( ? [X9] :
( norm = index(status,host(X9))
& setIn(X8,alive)
& host(X0) != host(X9)
& host(X9) = index(ldr,host(X9))
& X8 != X9
& host(X0) = host(X8)
& setIn(X9,alive) )
& host(X0) = host(X8) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X11))
| ~ elem(m_Down(X10),queue(host(X12)))
| elec_2 != index(status,host(X12))
| ~ setIn(X12,alive)
| ~ leq(nbr_proc,index(pendack,host(X12)))
| index(ldr,host(X11)) != host(X11)
| ~ setIn(X11,alive)
| host(X10) != index(pendack,host(X12)) )
& ! [X13,X14,X15] :
( norm != index(status,host(X15))
| leq(host(X14),host(X15))
| ? [X16] :
( ~ setIn(X16,index(down,host(X14)))
& leq(s(zero),X16)
& host(X13) != X16
& ~ leq(host(X14),X16) )
| elec_1 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ elem(m_Down(X13),queue(host(X14)))
| host(X15) != index(ldr,host(X15)) )
& ! [X17] :
( index(elid,host(X17)) = X17
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X17))
& elec_1 != index(status,host(X17)) ) )
& ! [X18,X19] :
( ~ setIn(X19,alive)
| ~ setIn(X18,alive)
| X18 = X19
| host(X19) != host(X18) )
& queue(host(X0)) = cons(m_Down(X1),X2)
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Ldr(X21),queue(host(X20))) )
& ! [X22,X23] :
( index(ldr,host(X22)) != host(X22)
| norm != index(status,host(X23))
| norm != index(status,host(X22))
| ~ setIn(X22,alive)
| index(ldr,host(X23)) != host(X23)
| X22 = X23
| ~ setIn(X23,alive) )
& elec_1 = index(status,host(X0))
& ( host(X1) != index(ldr,host(X0))
| norm != index(status,host(X0)) )
& ~ leq(host(X0),host(X1)) )
=> ( ! [X3] :
( setIn(X3,index(down,host(sK1)))
| ~ leq(s(zero),X3)
| host(sK2) = X3
| leq(host(sK1),X3) )
& ! [X4,X5,X6] :
( norm != index(status,host(X5))
| elec_2 != index(status,host(X6))
| ~ elem(m_Ack(X6,X4),queue(host(X6)))
| ~ setIn(X6,alive)
| ~ setIn(X5,alive)
| host(X4) != index(pendack,host(X6))
| ~ leq(nbr_proc,index(pendack,host(X6)))
| host(X5) != index(ldr,host(X5)) )
& ( host(sK2) != host(index(elid,host(sK1)))
| wait != index(status,host(sK1)) )
& leq(nbr_proc,host(sK1))
& setIn(sK1,alive)
& ? [X7] :
( ~ setIn(host(X7),setEmpty)
& ? [X8] :
( ? [X9] :
( norm = index(status,host(X9))
& setIn(X8,alive)
& host(sK1) != host(X9)
& host(X9) = index(ldr,host(X9))
& X8 != X9
& host(X8) = host(sK1)
& setIn(X9,alive) )
& host(X8) = host(sK1) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X11))
| ~ elem(m_Down(X10),queue(host(X12)))
| elec_2 != index(status,host(X12))
| ~ setIn(X12,alive)
| ~ leq(nbr_proc,index(pendack,host(X12)))
| index(ldr,host(X11)) != host(X11)
| ~ setIn(X11,alive)
| host(X10) != index(pendack,host(X12)) )
& ! [X13,X14,X15] :
( norm != index(status,host(X15))
| leq(host(X14),host(X15))
| ? [X16] :
( ~ setIn(X16,index(down,host(X14)))
& leq(s(zero),X16)
& host(X13) != X16
& ~ leq(host(X14),X16) )
| elec_1 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ elem(m_Down(X13),queue(host(X14)))
| host(X15) != index(ldr,host(X15)) )
& ! [X17] :
( index(elid,host(X17)) = X17
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X17))
& elec_1 != index(status,host(X17)) ) )
& ! [X18,X19] :
( ~ setIn(X19,alive)
| ~ setIn(X18,alive)
| X18 = X19
| host(X19) != host(X18) )
& queue(host(sK1)) = cons(m_Down(sK2),sK3)
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Ldr(X21),queue(host(X20))) )
& ! [X22,X23] :
( index(ldr,host(X22)) != host(X22)
| norm != index(status,host(X23))
| norm != index(status,host(X22))
| ~ setIn(X22,alive)
| index(ldr,host(X23)) != host(X23)
| X22 = X23
| ~ setIn(X23,alive) )
& elec_1 = index(status,host(sK1))
& ( host(sK2) != index(ldr,host(sK1))
| norm != index(status,host(sK1)) )
& ~ leq(host(sK1),host(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ? [X7] :
( ~ setIn(host(X7),setEmpty)
& ? [X8] :
( ? [X9] :
( norm = index(status,host(X9))
& setIn(X8,alive)
& host(sK1) != host(X9)
& host(X9) = index(ldr,host(X9))
& X8 != X9
& host(X8) = host(sK1)
& setIn(X9,alive) )
& host(X8) = host(sK1) ) )
=> ( ~ setIn(host(sK4),setEmpty)
& ? [X8] :
( ? [X9] :
( norm = index(status,host(X9))
& setIn(X8,alive)
& host(sK1) != host(X9)
& host(X9) = index(ldr,host(X9))
& X8 != X9
& host(X8) = host(sK1)
& setIn(X9,alive) )
& host(X8) = host(sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X8] :
( ? [X9] :
( norm = index(status,host(X9))
& setIn(X8,alive)
& host(sK1) != host(X9)
& host(X9) = index(ldr,host(X9))
& X8 != X9
& host(X8) = host(sK1)
& setIn(X9,alive) )
& host(X8) = host(sK1) )
=> ( ? [X9] :
( norm = index(status,host(X9))
& setIn(sK5,alive)
& host(sK1) != host(X9)
& host(X9) = index(ldr,host(X9))
& sK5 != X9
& host(sK1) = host(sK5)
& setIn(X9,alive) )
& host(sK1) = host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( ? [X9] :
( norm = index(status,host(X9))
& setIn(sK5,alive)
& host(sK1) != host(X9)
& host(X9) = index(ldr,host(X9))
& sK5 != X9
& host(sK1) = host(sK5)
& setIn(X9,alive) )
=> ( norm = index(status,host(sK6))
& setIn(sK5,alive)
& host(sK6) != host(sK1)
& host(sK6) = index(ldr,host(sK6))
& sK6 != sK5
& host(sK1) = host(sK5)
& setIn(sK6,alive) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X13,X14] :
( ? [X16] :
( ~ setIn(X16,index(down,host(X14)))
& leq(s(zero),X16)
& host(X13) != X16
& ~ leq(host(X14),X16) )
=> ( ~ setIn(sK7(X13,X14),index(down,host(X14)))
& leq(s(zero),sK7(X13,X14))
& host(X13) != sK7(X13,X14)
& ~ leq(host(X14),sK7(X13,X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
? [X0,X1,X2] :
( ! [X3] :
( setIn(X3,index(down,host(X0)))
| ~ leq(s(zero),X3)
| host(X1) = X3
| leq(host(X0),X3) )
& ! [X4,X5,X6] :
( norm != index(status,host(X5))
| elec_2 != index(status,host(X6))
| ~ elem(m_Ack(X6,X4),queue(host(X6)))
| ~ setIn(X6,alive)
| ~ setIn(X5,alive)
| host(X4) != index(pendack,host(X6))
| ~ leq(nbr_proc,index(pendack,host(X6)))
| host(X5) != index(ldr,host(X5)) )
& ( host(X1) != host(index(elid,host(X0)))
| wait != index(status,host(X0)) )
& leq(nbr_proc,host(X0))
& setIn(X0,alive)
& ? [X7] :
( ~ setIn(host(X7),setEmpty)
& ? [X8] :
( ? [X9] :
( norm = index(status,host(X9))
& setIn(X8,alive)
& host(X0) != host(X9)
& host(X9) = index(ldr,host(X9))
& X8 != X9
& host(X0) = host(X8)
& setIn(X9,alive) )
& host(X0) = host(X8) ) )
& ! [X10,X11,X12] :
( norm != index(status,host(X11))
| ~ elem(m_Down(X10),queue(host(X12)))
| elec_2 != index(status,host(X12))
| ~ setIn(X12,alive)
| ~ leq(nbr_proc,index(pendack,host(X12)))
| index(ldr,host(X11)) != host(X11)
| ~ setIn(X11,alive)
| host(X10) != index(pendack,host(X12)) )
& ! [X13,X14,X15] :
( norm != index(status,host(X15))
| leq(host(X14),host(X15))
| ? [X16] :
( ~ setIn(X16,index(down,host(X14)))
& leq(s(zero),X16)
& host(X13) != X16
& ~ leq(host(X14),X16) )
| elec_1 != index(status,host(X14))
| ~ setIn(X15,alive)
| ~ elem(m_Down(X13),queue(host(X14)))
| host(X15) != index(ldr,host(X15)) )
& ! [X17] :
( index(elid,host(X17)) = X17
| ~ setIn(X17,alive)
| ( elec_2 != index(status,host(X17))
& elec_1 != index(status,host(X17)) ) )
& ! [X18,X19] :
( ~ setIn(X19,alive)
| ~ setIn(X18,alive)
| X18 = X19
| host(X19) != host(X18) )
& queue(host(X0)) = cons(m_Down(X1),X2)
& ! [X20,X21] :
( ~ leq(host(X20),host(X21))
| ~ elem(m_Ldr(X21),queue(host(X20))) )
& ! [X22,X23] :
( index(ldr,host(X22)) != host(X22)
| norm != index(status,host(X23))
| norm != index(status,host(X22))
| ~ setIn(X22,alive)
| index(ldr,host(X23)) != host(X23)
| X22 = X23
| ~ setIn(X23,alive) )
& elec_1 = index(status,host(X0))
& ( host(X1) != index(ldr,host(X0))
| norm != index(status,host(X0)) )
& ~ leq(host(X0),host(X1)) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
? [X3,X1,X0] :
( ! [X21] :
( setIn(X21,index(down,host(X3)))
| ~ leq(s(zero),X21)
| host(X1) = X21
| leq(host(X3),X21) )
& ! [X18,X19,X20] :
( norm != index(status,host(X19))
| elec_2 != index(status,host(X20))
| ~ elem(m_Ack(X20,X18),queue(host(X20)))
| ~ setIn(X20,alive)
| ~ setIn(X19,alive)
| host(X18) != index(pendack,host(X20))
| ~ leq(nbr_proc,index(pendack,host(X20)))
| host(X19) != index(ldr,host(X19)) )
& ( host(X1) != host(index(elid,host(X3)))
| wait != index(status,host(X3)) )
& leq(nbr_proc,host(X3))
& setIn(X3,alive)
& ? [X22] :
( ~ setIn(host(X22),setEmpty)
& ? [X23] :
( ? [X24] :
( norm = index(status,host(X24))
& setIn(X23,alive)
& host(X3) != host(X24)
& host(X24) = index(ldr,host(X24))
& X23 != X24
& host(X3) = host(X23)
& setIn(X24,alive) )
& host(X3) = host(X23) ) )
& ! [X10,X9,X11] :
( norm != index(status,host(X9))
| ~ elem(m_Down(X10),queue(host(X11)))
| elec_2 != index(status,host(X11))
| ~ setIn(X11,alive)
| ~ leq(nbr_proc,index(pendack,host(X11)))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| index(pendack,host(X11)) != host(X10) )
& ! [X14,X15,X16] :
( norm != index(status,host(X16))
| leq(host(X15),host(X16))
| ? [X17] :
( ~ setIn(X17,index(down,host(X15)))
& leq(s(zero),X17)
& host(X14) != X17
& ~ leq(host(X15),X17) )
| elec_1 != index(status,host(X15))
| ~ setIn(X16,alive)
| ~ elem(m_Down(X14),queue(host(X15)))
| host(X16) != index(ldr,host(X16)) )
& ! [X6] :
( index(elid,host(X6)) = X6
| ~ setIn(X6,alive)
| ( elec_2 != index(status,host(X6))
& elec_1 != index(status,host(X6)) ) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| X12 = X13
| host(X13) != host(X12) )
& cons(m_Down(X1),X0) = queue(host(X3))
& ! [X5,X4] :
( ~ leq(host(X5),host(X4))
| ~ elem(m_Ldr(X4),queue(host(X5))) )
& ! [X7,X8] :
( index(ldr,host(X7)) != host(X7)
| norm != index(status,host(X8))
| norm != index(status,host(X7))
| ~ setIn(X7,alive)
| host(X8) != index(ldr,host(X8))
| X7 = X8
| ~ setIn(X8,alive) )
& elec_1 = index(status,host(X3))
& ( host(X1) != index(ldr,host(X3))
| norm != index(status,host(X3)) )
& ~ leq(host(X3),host(X1)) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
? [X0,X1,X3] :
( ? [X22] :
( ? [X23] :
( ? [X24] :
( X23 != X24
& host(X3) = host(X23)
& setIn(X23,alive)
& host(X24) = index(ldr,host(X24))
& norm = index(status,host(X24))
& setIn(X24,alive)
& host(X3) != host(X24) )
& host(X3) = host(X23) )
& ~ setIn(host(X22),setEmpty) )
& leq(nbr_proc,host(X3))
& ! [X21] :
( setIn(X21,index(down,host(X3)))
| host(X1) = X21
| leq(host(X3),X21)
| ~ leq(s(zero),X21) )
& elec_1 = index(status,host(X3))
& ( host(X1) != host(index(elid,host(X3)))
| wait != index(status,host(X3)) )
& ( host(X1) != index(ldr,host(X3))
| norm != index(status,host(X3)) )
& ~ leq(host(X3),host(X1))
& setIn(X3,alive)
& ! [X10,X11,X9] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| elec_2 != index(status,host(X11))
| index(pendack,host(X11)) != host(X10)
| ~ setIn(X11,alive)
| ~ elem(m_Down(X10),queue(host(X11)))
| ~ leq(nbr_proc,index(pendack,host(X11))) )
& ! [X16,X15,X14] :
( norm != index(status,host(X16))
| host(X16) != index(ldr,host(X16))
| ~ setIn(X16,alive)
| leq(host(X15),host(X16))
| ~ elem(m_Down(X14),queue(host(X15)))
| ? [X17] :
( host(X14) != X17
& ~ setIn(X17,index(down,host(X15)))
& leq(s(zero),X17)
& ~ leq(host(X15),X17) )
| elec_1 != index(status,host(X15)) )
& ! [X6] :
( index(elid,host(X6)) = X6
| ~ setIn(X6,alive)
| ( elec_2 != index(status,host(X6))
& elec_1 != index(status,host(X6)) ) )
& ! [X5,X4] :
( ~ leq(host(X5),host(X4))
| ~ elem(m_Ldr(X4),queue(host(X5))) )
& ! [X7,X8] :
( X7 = X8
| norm != index(status,host(X8))
| host(X8) != index(ldr,host(X8))
| ~ setIn(X8,alive)
| ~ setIn(X7,alive)
| index(ldr,host(X7)) != host(X7)
| norm != index(status,host(X7)) )
& ! [X20,X19,X18] :
( norm != index(status,host(X19))
| host(X19) != index(ldr,host(X19))
| ~ setIn(X19,alive)
| ~ elem(m_Ack(X20,X18),queue(host(X20)))
| ~ setIn(X20,alive)
| elec_2 != index(status,host(X20))
| host(X18) != index(pendack,host(X20))
| ~ leq(nbr_proc,index(pendack,host(X20))) )
& cons(m_Down(X1),X0) = queue(host(X3))
& ! [X13,X12] :
( ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| host(X13) != host(X12)
| X12 = X13 ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
~ ! [X0,X1,X3] :
( ( ! [X10,X11,X9] :
( ( elec_2 = index(status,host(X11))
& index(pendack,host(X11)) = host(X10)
& setIn(X11,alive)
& elem(m_Down(X10),queue(host(X11)))
& leq(nbr_proc,index(pendack,host(X11))) )
=> ~ ( norm = index(status,host(X9))
& host(X9) = index(ldr,host(X9))
& setIn(X9,alive) ) )
& ! [X16,X15,X14] :
( ( ~ leq(host(X15),host(X16))
& elem(m_Down(X14),queue(host(X15)))
& ! [X17] :
( ( leq(s(zero),X17)
& ~ leq(host(X15),X17) )
=> ( host(X14) = X17
| setIn(X17,index(down,host(X15))) ) )
& elec_1 = index(status,host(X15)) )
=> ~ ( norm = index(status,host(X16))
& host(X16) = index(ldr,host(X16))
& setIn(X16,alive) ) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_1 = index(status,host(X6))
| elec_2 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X4,X5] :
( elem(m_Ldr(X4),queue(host(X5)))
=> ~ leq(host(X5),host(X4)) )
& ! [X7,X8] :
( ( norm = index(status,host(X8))
& host(X8) = index(ldr,host(X8))
& setIn(X8,alive)
& setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& norm = index(status,host(X7)) )
=> X7 = X8 )
& ! [X20,X19,X18] :
( ( elem(m_Ack(X20,X18),queue(host(X20)))
& setIn(X20,alive)
& elec_2 = index(status,host(X20))
& host(X18) = index(pendack,host(X20))
& leq(nbr_proc,index(pendack,host(X20))) )
=> ~ ( norm = index(status,host(X19))
& host(X19) = index(ldr,host(X19))
& setIn(X19,alive) ) )
& cons(m_Down(X1),X0) = queue(host(X3))
& ! [X13,X12] :
( ( host(X13) = host(X12)
& X12 != X13 )
=> ( ~ setIn(X12,alive)
| ~ setIn(X13,alive) ) ) )
=> ( setIn(X3,alive)
=> ( ~ leq(host(X3),host(X1))
=> ( ~ ( ( wait = index(status,host(X3))
& host(X1) = host(index(elid,host(X3))) )
| ( norm = index(status,host(X3))
& host(X1) = index(ldr,host(X3)) ) )
=> ( ( ! [X21] :
( ( ~ leq(host(X3),X21)
& leq(s(zero),X21) )
=> ( setIn(X21,index(down,host(X3)))
| host(X1) = X21 ) )
& elec_1 = index(status,host(X3)) )
=> ( leq(nbr_proc,host(X3))
=> ! [X22] :
( ~ setIn(host(X22),setEmpty)
=> ! [X23] :
( host(X3) = host(X23)
=> ! [X24] :
( host(X3) != host(X24)
=> ( ( host(X3) = host(X23)
& setIn(X23,alive)
& host(X24) = index(ldr,host(X24))
& norm = index(status,host(X24))
& setIn(X24,alive) )
=> X23 = X24 ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X5,X12,X4] :
( ( ! [X13,X6] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_1 = index(status,host(X6))
| elec_2 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X13,X6] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X6,alive)
& norm = index(status,host(X6))
& setIn(X13,alive)
& host(X6) = index(ldr,host(X6)) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( setIn(X13,alive)
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,index(pendack,host(X13)))
& index(pendack,host(X13)) = host(X14)
& elec_2 = index(status,host(X13)) )
=> ~ ( setIn(X6,alive)
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6)) ) )
& queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X13,X6] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X13,alive) ) )
& ! [X14,X13,X6] :
( ( elec_1 = index(status,host(X13))
& ! [X15] :
( ( ~ leq(host(X13),X15)
& leq(s(zero),X15) )
=> ( setIn(X15,index(down,host(X13)))
| host(X14) = X15 ) )
& ~ leq(host(X13),host(X6))
& elem(m_Down(X14),queue(host(X13))) )
=> ~ ( setIn(X6,alive)
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6)) ) )
& ! [X14,X6,X13] :
( ( index(pendack,host(X13)) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& elec_2 = index(status,host(X13))
& setIn(X13,alive)
& leq(nbr_proc,index(pendack,host(X13))) )
=> ~ ( norm = index(status,host(X6))
& setIn(X6,alive)
& host(X6) = index(ldr,host(X6)) ) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( host(X5) = index(ldr,host(X4))
& norm = index(status,host(X4)) ) )
=> ( ( ! [X6] :
( ( ~ leq(host(X4),X6)
& leq(s(zero),X6) )
=> ( setIn(X6,index(down,host(X4)))
| host(X5) = X6 ) )
& elec_1 = index(status,host(X4)) )
=> ( leq(nbr_proc,host(X4))
=> ! [X6] :
( ~ setIn(host(X6),setEmpty)
=> ! [X15] :
( host(X4) = host(X15)
=> ! [X16] :
( host(X4) != host(X16)
=> ( ( norm = index(status,host(X16))
& host(X4) = host(X15)
& setIn(X16,alive)
& setIn(X15,alive)
& host(X16) = index(ldr,host(X16)) )
=> X15 = X16 ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X5,X12,X4] :
( ( ! [X13,X6] :
( elem(m_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_1 = index(status,host(X6))
| elec_2 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X13,X6] :
( ( host(X13) = index(ldr,host(X13))
& norm = index(status,host(X13))
& setIn(X6,alive)
& norm = index(status,host(X6))
& setIn(X13,alive)
& host(X6) = index(ldr,host(X6)) )
=> X6 = X13 )
& ! [X6,X14,X13] :
( ( setIn(X13,alive)
& elem(m_Down(X14),queue(host(X13)))
& leq(nbr_proc,index(pendack,host(X13)))
& index(pendack,host(X13)) = host(X14)
& elec_2 = index(status,host(X13)) )
=> ~ ( setIn(X6,alive)
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6)) ) )
& queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X13,X6] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X6,alive)
| ~ setIn(X13,alive) ) )
& ! [X14,X13,X6] :
( ( elec_1 = index(status,host(X13))
& ! [X15] :
( ( ~ leq(host(X13),X15)
& leq(s(zero),X15) )
=> ( setIn(X15,index(down,host(X13)))
| host(X14) = X15 ) )
& ~ leq(host(X13),host(X6))
& elem(m_Down(X14),queue(host(X13))) )
=> ~ ( setIn(X6,alive)
& norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6)) ) )
& ! [X14,X6,X13] :
( ( index(pendack,host(X13)) = host(X14)
& elem(m_Ack(X13,X14),queue(host(X13)))
& elec_2 = index(status,host(X13))
& setIn(X13,alive)
& leq(nbr_proc,index(pendack,host(X13))) )
=> ~ ( norm = index(status,host(X6))
& setIn(X6,alive)
& host(X6) = index(ldr,host(X6)) ) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( host(X5) = index(ldr,host(X4))
& norm = index(status,host(X4)) ) )
=> ( ( ! [X6] :
( ( ~ leq(host(X4),X6)
& leq(s(zero),X6) )
=> ( setIn(X6,index(down,host(X4)))
| host(X5) = X6 ) )
& elec_1 = index(status,host(X4)) )
=> ( leq(nbr_proc,host(X4))
=> ! [X6] :
( ~ setIn(host(X6),setEmpty)
=> ! [X15] :
( host(X4) = host(X15)
=> ! [X16] :
( host(X4) != host(X16)
=> ( ( norm = index(status,host(X16))
& host(X4) = host(X15)
& setIn(X16,alive)
& setIn(X15,alive)
& host(X16) = index(ldr,host(X16)) )
=> X15 = X16 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(f305,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( ( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0) )
& ( ( leq(X0,X1)
& leq(X1,X0) )
| X0 != X1 ) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X1,X0] :
( ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) )
& ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X1,X0] :
( ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) )
& ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( X0 = X1
<=> ( leq(X1,X0)
& leq(X0,X1) ) ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X5,X4] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(f772,plain,
~ leq(host(sK6),host(sK1)),
inference(subsumption_resolution,[],[f764,f235]) ).
fof(f235,plain,
host(sK6) != host(sK1),
inference(cnf_transformation,[],[f161]) ).
fof(f764,plain,
( ~ leq(host(sK6),host(sK1))
| host(sK6) = host(sK1) ),
inference(resolution,[],[f305,f631]) ).
fof(f631,plain,
leq(host(sK1),host(sK6)),
inference(subsumption_resolution,[],[f628,f630]) ).
fof(f630,plain,
( host(sK2) != sK7(sK2,sK1)
| leq(host(sK1),host(sK6)) ),
inference(resolution,[],[f626,f492]) ).
fof(f492,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| leq(host(sK1),host(sK6))
| host(X0) != sK7(X0,sK1) ),
inference(forward_demodulation,[],[f491,f348]) ).
fof(f348,plain,
sK1 = sK5,
inference(subsumption_resolution,[],[f347,f239]) ).
fof(f239,plain,
setIn(sK1,alive),
inference(cnf_transformation,[],[f161]) ).
fof(f347,plain,
( sK1 = sK5
| ~ setIn(sK1,alive) ),
inference(equality_resolution,[],[f345]) ).
fof(f345,plain,
! [X0] :
( host(X0) != host(sK1)
| ~ setIn(X0,alive)
| sK5 = X0 ),
inference(subsumption_resolution,[],[f342,f236]) ).
fof(f236,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f161]) ).
fof(f342,plain,
! [X0] :
( host(X0) != host(sK1)
| sK5 = X0
| ~ setIn(X0,alive)
| ~ setIn(sK5,alive) ),
inference(superposition,[],[f222,f232]) ).
fof(f232,plain,
host(sK1) = host(sK5),
inference(cnf_transformation,[],[f161]) ).
fof(f222,plain,
! [X18,X19] :
( host(X19) != host(X18)
| ~ setIn(X19,alive)
| X18 = X19
| ~ setIn(X18,alive) ),
inference(cnf_transformation,[],[f161]) ).
fof(f491,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| leq(host(sK1),host(sK6))
| host(X0) != sK7(X0,sK5) ),
inference(subsumption_resolution,[],[f487,f218]) ).
fof(f218,plain,
elec_1 = index(status,host(sK1)),
inference(cnf_transformation,[],[f161]) ).
fof(f487,plain,
! [X0] :
( host(X0) != sK7(X0,sK5)
| elec_1 != index(status,host(sK1))
| leq(host(sK1),host(sK6))
| ~ elem(m_Down(X0),queue(host(sK1))) ),
inference(superposition,[],[f400,f232]) ).
fof(f400,plain,
! [X2,X3] :
( elec_1 != index(status,host(X3))
| ~ elem(m_Down(X2),queue(host(X3)))
| host(X2) != sK7(X2,X3)
| leq(host(X3),host(sK6)) ),
inference(subsumption_resolution,[],[f399,f231]) ).
fof(f231,plain,
setIn(sK6,alive),
inference(cnf_transformation,[],[f161]) ).
fof(f399,plain,
! [X2,X3] :
( leq(host(X3),host(sK6))
| ~ setIn(sK6,alive)
| ~ elem(m_Down(X2),queue(host(X3)))
| elec_1 != index(status,host(X3))
| host(X2) != sK7(X2,X3) ),
inference(subsumption_resolution,[],[f396,f234]) ).
fof(f234,plain,
host(sK6) = index(ldr,host(sK6)),
inference(cnf_transformation,[],[f161]) ).
fof(f396,plain,
! [X2,X3] :
( leq(host(X3),host(sK6))
| host(sK6) != index(ldr,host(sK6))
| host(X2) != sK7(X2,X3)
| elec_1 != index(status,host(X3))
| ~ setIn(sK6,alive)
| ~ elem(m_Down(X2),queue(host(X3))) ),
inference(trivial_inequality_removal,[],[f395]) ).
fof(f395,plain,
! [X2,X3] :
( host(X2) != sK7(X2,X3)
| host(sK6) != index(ldr,host(sK6))
| elec_1 != index(status,host(X3))
| norm != norm
| ~ setIn(sK6,alive)
| leq(host(X3),host(sK6))
| ~ elem(m_Down(X2),queue(host(X3))) ),
inference(superposition,[],[f226,f237]) ).
fof(f237,plain,
norm = index(status,host(sK6)),
inference(cnf_transformation,[],[f161]) ).
fof(f226,plain,
! [X14,X15,X13] :
( norm != index(status,host(X15))
| host(X13) != sK7(X13,X14)
| ~ setIn(X15,alive)
| elec_1 != index(status,host(X14))
| ~ elem(m_Down(X13),queue(host(X14)))
| host(X15) != index(ldr,host(X15))
| leq(host(X14),host(X15)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f626,plain,
elem(m_Down(sK2),queue(host(sK1))),
inference(superposition,[],[f335,f221]) ).
fof(f221,plain,
queue(host(sK1)) = cons(m_Down(sK2),sK3),
inference(cnf_transformation,[],[f161]) ).
fof(f335,plain,
! [X2,X1] : elem(X2,cons(X2,X1)),
inference(equality_resolution,[],[f315]) ).
fof(f315,plain,
! [X2,X0,X1] :
( elem(X0,cons(X2,X1))
| X0 != X2 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X2,X1))
| ( X0 != X2
& ~ elem(X0,X1) ) )
& ( X0 = X2
| elem(X0,X1)
| ~ elem(X0,cons(X2,X1)) ) ),
inference(rectify,[],[f195]) ).
fof(f195,plain,
! [X1,X0,X2] :
( ( elem(X1,cons(X2,X0))
| ( X1 != X2
& ~ elem(X1,X0) ) )
& ( X1 = X2
| elem(X1,X0)
| ~ elem(X1,cons(X2,X0)) ) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X1,X0,X2] :
( ( elem(X1,cons(X2,X0))
| ( X1 != X2
& ~ elem(X1,X0) ) )
& ( X1 = X2
| elem(X1,X0)
| ~ elem(X1,cons(X2,X0)) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X1,X0,X2] :
( elem(X1,cons(X2,X0))
<=> ( X1 = X2
| elem(X1,X0) ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X3,X4,X5] :
( ( elem(X4,X3)
| X4 = X5 )
<=> elem(X4,cons(X5,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).
fof(f628,plain,
( leq(host(sK1),host(sK6))
| host(sK2) = sK7(sK2,sK1) ),
inference(resolution,[],[f626,f620]) ).
fof(f620,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| host(sK2) = sK7(X0,sK1)
| leq(host(sK1),host(sK6)) ),
inference(subsumption_resolution,[],[f619,f502]) ).
fof(f502,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| leq(s(zero),sK7(X0,sK1))
| leq(host(sK1),host(sK6)) ),
inference(trivial_inequality_removal,[],[f500]) ).
fof(f500,plain,
! [X0] :
( leq(host(sK1),host(sK6))
| ~ elem(m_Down(X0),queue(host(sK1)))
| leq(s(zero),sK7(X0,sK1))
| elec_1 != elec_1 ),
inference(superposition,[],[f419,f218]) ).
fof(f419,plain,
! [X2,X3] :
( elec_1 != index(status,host(X3))
| ~ elem(m_Down(X2),queue(host(X3)))
| leq(s(zero),sK7(X2,X3))
| leq(host(X3),host(sK6)) ),
inference(subsumption_resolution,[],[f418,f231]) ).
fof(f418,plain,
! [X2,X3] :
( ~ setIn(sK6,alive)
| elec_1 != index(status,host(X3))
| ~ elem(m_Down(X2),queue(host(X3)))
| leq(s(zero),sK7(X2,X3))
| leq(host(X3),host(sK6)) ),
inference(subsumption_resolution,[],[f415,f234]) ).
fof(f415,plain,
! [X2,X3] :
( host(sK6) != index(ldr,host(sK6))
| ~ setIn(sK6,alive)
| elec_1 != index(status,host(X3))
| leq(s(zero),sK7(X2,X3))
| ~ elem(m_Down(X2),queue(host(X3)))
| leq(host(X3),host(sK6)) ),
inference(trivial_inequality_removal,[],[f414]) ).
fof(f414,plain,
! [X2,X3] :
( ~ setIn(sK6,alive)
| elec_1 != index(status,host(X3))
| ~ elem(m_Down(X2),queue(host(X3)))
| leq(s(zero),sK7(X2,X3))
| norm != norm
| leq(host(X3),host(sK6))
| host(sK6) != index(ldr,host(sK6)) ),
inference(superposition,[],[f227,f237]) ).
fof(f227,plain,
! [X14,X15,X13] :
( norm != index(status,host(X15))
| ~ elem(m_Down(X13),queue(host(X14)))
| leq(s(zero),sK7(X13,X14))
| elec_1 != index(status,host(X14))
| ~ setIn(X15,alive)
| leq(host(X14),host(X15))
| host(X15) != index(ldr,host(X15)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f619,plain,
! [X0] :
( ~ leq(s(zero),sK7(X0,sK1))
| host(sK2) = sK7(X0,sK1)
| ~ elem(m_Down(X0),queue(host(sK1)))
| leq(host(sK1),host(sK6)) ),
inference(subsumption_resolution,[],[f618,f474]) ).
fof(f474,plain,
! [X0] :
( ~ leq(host(sK1),sK7(X0,sK1))
| ~ elem(m_Down(X0),queue(host(sK1)))
| leq(host(sK1),host(sK6)) ),
inference(forward_demodulation,[],[f473,f348]) ).
fof(f473,plain,
! [X0] :
( leq(host(sK1),host(sK6))
| ~ leq(host(sK1),sK7(X0,sK5))
| ~ elem(m_Down(X0),queue(host(sK1))) ),
inference(subsumption_resolution,[],[f469,f218]) ).
fof(f469,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| leq(host(sK1),host(sK6))
| ~ leq(host(sK1),sK7(X0,sK5))
| elec_1 != index(status,host(sK1)) ),
inference(superposition,[],[f384,f232]) ).
fof(f384,plain,
! [X2,X3] :
( elec_1 != index(status,host(X3))
| leq(host(X3),host(sK6))
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ leq(host(X3),sK7(X2,X3)) ),
inference(subsumption_resolution,[],[f383,f234]) ).
fof(f383,plain,
! [X2,X3] :
( elec_1 != index(status,host(X3))
| ~ elem(m_Down(X2),queue(host(X3)))
| host(sK6) != index(ldr,host(sK6))
| leq(host(X3),host(sK6))
| ~ leq(host(X3),sK7(X2,X3)) ),
inference(subsumption_resolution,[],[f382,f231]) ).
fof(f382,plain,
! [X2,X3] :
( ~ leq(host(X3),sK7(X2,X3))
| leq(host(X3),host(sK6))
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ setIn(sK6,alive)
| elec_1 != index(status,host(X3))
| host(sK6) != index(ldr,host(sK6)) ),
inference(trivial_inequality_removal,[],[f381]) ).
fof(f381,plain,
! [X2,X3] :
( norm != norm
| ~ setIn(sK6,alive)
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ leq(host(X3),sK7(X2,X3))
| elec_1 != index(status,host(X3))
| host(sK6) != index(ldr,host(sK6))
| leq(host(X3),host(sK6)) ),
inference(superposition,[],[f225,f237]) ).
fof(f225,plain,
! [X14,X15,X13] :
( norm != index(status,host(X15))
| ~ elem(m_Down(X13),queue(host(X14)))
| host(X15) != index(ldr,host(X15))
| ~ leq(host(X14),sK7(X13,X14))
| leq(host(X14),host(X15))
| ~ setIn(X15,alive)
| elec_1 != index(status,host(X14)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f618,plain,
! [X0] :
( ~ elem(m_Down(X0),queue(host(sK1)))
| leq(host(sK1),host(sK6))
| leq(host(sK1),sK7(X0,sK1))
| ~ leq(s(zero),sK7(X0,sK1))
| host(sK2) = sK7(X0,sK1) ),
inference(resolution,[],[f526,f243]) ).
fof(f243,plain,
! [X3] :
( setIn(X3,index(down,host(sK1)))
| leq(host(sK1),X3)
| ~ leq(s(zero),X3)
| host(sK2) = X3 ),
inference(cnf_transformation,[],[f161]) ).
fof(f526,plain,
! [X0] :
( ~ setIn(sK7(X0,sK1),index(down,host(sK1)))
| ~ elem(m_Down(X0),queue(host(sK1)))
| leq(host(sK1),host(sK6)) ),
inference(trivial_inequality_removal,[],[f524]) ).
fof(f524,plain,
! [X0] :
( elec_1 != elec_1
| leq(host(sK1),host(sK6))
| ~ elem(m_Down(X0),queue(host(sK1)))
| ~ setIn(sK7(X0,sK1),index(down,host(sK1))) ),
inference(superposition,[],[f427,f218]) ).
fof(f427,plain,
! [X2,X3] :
( elec_1 != index(status,host(X2))
| ~ elem(m_Down(X3),queue(host(X2)))
| ~ setIn(sK7(X3,X2),index(down,host(X2)))
| leq(host(X2),host(sK6)) ),
inference(subsumption_resolution,[],[f426,f231]) ).
fof(f426,plain,
! [X2,X3] :
( elec_1 != index(status,host(X2))
| ~ setIn(sK7(X3,X2),index(down,host(X2)))
| leq(host(X2),host(sK6))
| ~ elem(m_Down(X3),queue(host(X2)))
| ~ setIn(sK6,alive) ),
inference(subsumption_resolution,[],[f425,f234]) ).
fof(f425,plain,
! [X2,X3] :
( ~ setIn(sK7(X3,X2),index(down,host(X2)))
| elec_1 != index(status,host(X2))
| ~ elem(m_Down(X3),queue(host(X2)))
| leq(host(X2),host(sK6))
| host(sK6) != index(ldr,host(sK6))
| ~ setIn(sK6,alive) ),
inference(trivial_inequality_removal,[],[f424]) ).
fof(f424,plain,
! [X2,X3] :
( ~ elem(m_Down(X3),queue(host(X2)))
| host(sK6) != index(ldr,host(sK6))
| norm != norm
| elec_1 != index(status,host(X2))
| ~ setIn(sK6,alive)
| ~ setIn(sK7(X3,X2),index(down,host(X2)))
| leq(host(X2),host(sK6)) ),
inference(superposition,[],[f228,f237]) ).
fof(f228,plain,
! [X14,X15,X13] :
( norm != index(status,host(X15))
| host(X15) != index(ldr,host(X15))
| elec_1 != index(status,host(X14))
| ~ setIn(sK7(X13,X14),index(down,host(X14)))
| ~ setIn(X15,alive)
| ~ elem(m_Down(X13),queue(host(X14)))
| leq(host(X14),host(X15)) ),
inference(cnf_transformation,[],[f161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWV448+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 19:39:19 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.47 % (15726)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.48 % (15719)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.48 % (15727)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.49 % (15708)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.49 % (15703)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.49 % (15706)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49 % (15704)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.49 % (15712)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (15707)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (15713)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.50 % (15720)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.50 % (15715)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.50 % (15705)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.50 % (15714)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.50 % (15729)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.50 % (15716)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.51 % (15722)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.51 % (15718)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.51 % (15709)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.51 % (15732)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.52 % (15725)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.52 % (15728)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.52 % (15723)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.53 TRYING [4]
% 0.17/0.53 % (15721)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.53 % (15710)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.53 % (15724)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.53 % (15731)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.53 % (15711)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.53 TRYING [4]
% 0.17/0.53 % (15711)Instruction limit reached!
% 0.17/0.53 % (15711)------------------------------
% 0.17/0.53 % (15711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (15711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (15711)Termination reason: Unknown
% 0.17/0.53 % (15711)Termination phase: Preprocessing 3
% 0.17/0.53
% 0.17/0.53 % (15711)Memory used [KB]: 1023
% 0.17/0.53 % (15711)Time elapsed: 0.003 s
% 0.17/0.53 % (15711)Instructions burned: 3 (million)
% 0.17/0.53 % (15711)------------------------------
% 0.17/0.53 % (15711)------------------------------
% 0.17/0.53 % (15730)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.53 % (15717)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.55 % (15708)Instruction limit reached!
% 0.17/0.55 % (15708)------------------------------
% 0.17/0.55 % (15708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (15708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (15708)Termination reason: Unknown
% 0.17/0.55 % (15708)Termination phase: Saturation
% 0.17/0.55
% 0.17/0.55 % (15708)Memory used [KB]: 6140
% 0.17/0.55 % (15708)Time elapsed: 0.164 s
% 0.17/0.55 % (15708)Instructions burned: 48 (million)
% 0.17/0.55 % (15708)------------------------------
% 0.17/0.55 % (15708)------------------------------
% 0.17/0.55 % (15710)Instruction limit reached!
% 0.17/0.55 % (15710)------------------------------
% 0.17/0.55 % (15710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 % (15710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (15710)Termination reason: Unknown
% 0.17/0.55 % (15710)Termination phase: Saturation
% 0.17/0.55
% 0.17/0.55 % (15710)Memory used [KB]: 5628
% 0.17/0.55 % (15710)Time elapsed: 0.004 s
% 0.17/0.55 % (15710)Instructions burned: 7 (million)
% 0.17/0.55 % (15710)------------------------------
% 0.17/0.55 % (15710)------------------------------
% 0.17/0.55 % (15706)Instruction limit reached!
% 0.17/0.55 % (15706)------------------------------
% 0.17/0.55 % (15706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.55 TRYING [4]
% 0.17/0.55 % (15706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.55 % (15706)Termination reason: Unknown
% 0.17/0.55 % (15706)Termination phase: Saturation
% 0.17/0.55
% 0.17/0.55 % (15706)Memory used [KB]: 6012
% 0.17/0.55 % (15706)Time elapsed: 0.156 s
% 0.17/0.55 % (15706)Instructions burned: 52 (million)
% 0.17/0.55 % (15706)------------------------------
% 0.17/0.55 % (15706)------------------------------
% 0.17/0.56 % (15720)Instruction limit reached!
% 0.17/0.56 % (15720)------------------------------
% 0.17/0.56 % (15720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (15720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (15720)Termination reason: Unknown
% 0.17/0.56 % (15720)Termination phase: Finite model building constraint generation
% 0.17/0.56
% 0.17/0.56 % (15720)Memory used [KB]: 9850
% 0.17/0.56 % (15720)Time elapsed: 0.178 s
% 0.17/0.56 % (15720)Instructions burned: 59 (million)
% 0.17/0.56 % (15720)------------------------------
% 0.17/0.56 % (15720)------------------------------
% 0.17/0.56 % (15705)First to succeed.
% 0.17/0.57 % (15713)Instruction limit reached!
% 0.17/0.57 % (15713)------------------------------
% 0.17/0.57 % (15713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (15713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (15713)Termination reason: Unknown
% 0.17/0.57 % (15713)Termination phase: Saturation
% 0.17/0.57
% 0.17/0.57 % (15713)Memory used [KB]: 6396
% 0.17/0.57 % (15713)Time elapsed: 0.152 s
% 0.17/0.57 % (15713)Instructions burned: 50 (million)
% 0.17/0.57 % (15713)------------------------------
% 0.17/0.57 % (15713)------------------------------
% 0.17/0.57 % (15712)Instruction limit reached!
% 0.17/0.57 % (15712)------------------------------
% 0.17/0.57 % (15712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (15712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (15712)Termination reason: Unknown
% 0.17/0.57 % (15712)Termination phase: Saturation
% 0.17/0.57
% 0.17/0.57 % (15712)Memory used [KB]: 1663
% 0.17/0.57 % (15712)Time elapsed: 0.210 s
% 0.17/0.57 % (15712)Instructions burned: 51 (million)
% 0.17/0.57 % (15712)------------------------------
% 0.17/0.57 % (15712)------------------------------
% 0.17/0.57 % (15707)Instruction limit reached!
% 0.17/0.57 % (15707)------------------------------
% 0.17/0.57 % (15707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (15707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (15707)Termination reason: Unknown
% 0.17/0.57 % (15707)Termination phase: Saturation
% 0.17/0.57
% 0.17/0.57 % (15707)Memory used [KB]: 6396
% 0.17/0.57 % (15707)Time elapsed: 0.191 s
% 0.17/0.57 % (15707)Instructions burned: 52 (million)
% 0.17/0.57 % (15707)------------------------------
% 0.17/0.57 % (15707)------------------------------
% 0.17/0.58 % (15705)Refutation found. Thanks to Tanya!
% 0.17/0.58 % SZS status Theorem for theBenchmark
% 0.17/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.58 % (15705)------------------------------
% 0.17/0.58 % (15705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.58 % (15705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.58 % (15705)Termination reason: Refutation
% 0.17/0.58
% 0.17/0.58 % (15705)Memory used [KB]: 1535
% 0.17/0.58 % (15705)Time elapsed: 0.186 s
% 0.17/0.58 % (15705)Instructions burned: 33 (million)
% 0.17/0.58 % (15705)------------------------------
% 0.17/0.58 % (15705)------------------------------
% 0.17/0.58 % (15702)Success in time 0.248 s
%------------------------------------------------------------------------------