TSTP Solution File: SWV468+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV468+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 : 600s
% DateTime : Wed Jul 20 18:16:54 EDT 2022
% Result : Theorem 0.29s 2.47s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 22 unt; 0 def)
% Number of atoms : 558 ( 218 equ)
% Maximal formula atoms : 130 ( 11 avg)
% Number of connectives : 746 ( 235 ~; 176 |; 258 &)
% ( 3 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 19 con; 0-6 aty)
% Number of variables : 248 ( 30 sgn 204 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj,conjecture,
! [X12,X13,X5,X6] :
( ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X14),queue(host(X7))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& setIn(host(X14),index(down,host(X7)))
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& setIn(host(X14),index(down,host(X7))) ) )
& ! [X7,X15,X14] :
( ( ~ leq(host(X14),host(X7))
& setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Down(X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& elem(m_Down(X15),queue(host(X7)))
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& host(X15) = host(X14)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X15),queue(host(X7))) ) )
& ! [X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& ~ leq(host(X14),host(X7))
& elem(m_Down(X15),queue(host(X14)))
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Down(X6),X12) )
=> ( setIn(X5,alive)
=> ( ~ leq(host(X5),host(X6))
=> ( ~ ( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm )
| ( index(status,host(X5)) = wait
& host(X6) = host(index(elid,host(X5))) ) )
=> ( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& index(status,host(X5)) = elec_1 )
=> ( leq(nbr_proc,host(X5))
=> ! [X7] :
( ~ setIn(host(X7),setEmpty)
=> ! [X16] :
( host(X5) = host(X16)
=> ! [X17] :
( host(X5) != host(X17)
=> ( ( ~ leq(index(pendack,host(X17)),host(X16))
& setIn(X17,alive)
& index(status,host(X17)) = elec_2 )
=> ~ ( setIn(X16,alive)
& host(X5) = host(X16) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(axiom_60,axiom,
! [X5,X6] :
( leq(X5,X6)
| leq(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(axiom_04,axiom,
! [X3] : leq(host(X3),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(c_0_6,plain,
! [X12,X6,X5] :
( epred1_3(X5,X6,X12)
<=> ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X14),queue(host(X7))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& setIn(host(X14),index(down,host(X7)))
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& setIn(host(X14),index(down,host(X7))) ) )
& ! [X7,X15,X14] :
( ( ~ leq(host(X14),host(X7))
& setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Down(X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& elem(m_Down(X15),queue(host(X7)))
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& host(X15) = host(X14)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X15),queue(host(X7))) ) )
& ! [X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& ~ leq(host(X14),host(X7))
& elem(m_Down(X15),queue(host(X14)))
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Down(X6),X12) ) ),
introduced(definition) ).
fof(c_0_7,plain,
! [X12,X6,X5] :
( epred1_3(X5,X6,X12)
=> ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X14),queue(host(X7))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& setIn(host(X14),index(down,host(X7)))
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& setIn(host(X14),index(down,host(X7))) ) )
& ! [X7,X15,X14] :
( ( ~ leq(host(X14),host(X7))
& setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Down(X15),queue(host(X7))) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& host(X14) = host(X15)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ elem(m_Ack(X7,X15),queue(host(X7))) )
& ! [X7,X15,X14] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& elem(m_Down(X15),queue(host(X7)))
& host(X14) = host(X15)
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& host(X15) = host(X14)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X15),queue(host(X7))) ) )
& ! [X7,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X15,X14] :
( ( ! [X16] :
( ( ~ leq(host(X14),X16)
& leq(s(zero),X16) )
=> ( setIn(X16,index(down,host(X14)))
| X16 = host(X15) ) )
& ~ leq(host(X14),host(X7))
& elem(m_Down(X15),queue(host(X14)))
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& queue(host(X5)) = cons(m_Down(X6),X12) ) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
fof(c_0_8,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( epred1_3(X5,X6,X12)
=> ( setIn(X5,alive)
=> ( ~ leq(host(X5),host(X6))
=> ( ~ ( ( index(ldr,host(X5)) = host(X6)
& index(status,host(X5)) = norm )
| ( index(status,host(X5)) = wait
& host(X6) = host(index(elid,host(X5))) ) )
=> ( ( ! [X7] :
( ( ~ leq(host(X5),X7)
& leq(s(zero),X7) )
=> ( setIn(X7,index(down,host(X5)))
| X7 = host(X6) ) )
& index(status,host(X5)) = elec_1 )
=> ( leq(nbr_proc,host(X5))
=> ! [X7] :
( ~ setIn(host(X7),setEmpty)
=> ! [X16] :
( host(X5) = host(X16)
=> ! [X17] :
( host(X5) != host(X17)
=> ( ( ~ leq(index(pendack,host(X17)),host(X16))
& setIn(X17,alive)
& index(status,host(X17)) = elec_2 )
=> ~ ( setIn(X16,alive)
& host(X5) = host(X16) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_6]) ).
fof(c_0_9,plain,
! [X7,X8,X9,X7,X8,X9] :
( ( ~ elem(X7,cons(X8,X9))
| X7 = X8
| elem(X7,X9) )
& ( X7 != X8
| elem(X7,cons(X8,X9)) )
& ( ~ elem(X7,X9)
| elem(X7,cons(X8,X9)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])])]) ).
fof(c_0_10,plain,
! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57] :
( ( ~ elem(m_Ldr(X21),queue(host(X20)))
| ~ leq(host(X20),host(X21))
| ~ epred1_3(X19,X18,X17) )
& ( X23 = X22
| host(X23) != host(X22)
| ~ setIn(X22,alive)
| ~ setIn(X23,alive)
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(X25,alive)
| index(status,host(X25)) != elec_2
| ~ elem(m_Ack(X24,X25),queue(host(X24)))
| ~ epred1_3(X19,X18,X17) )
& ( index(status,host(X26)) != elec_1
| ~ setIn(X26,alive)
| index(elid,host(X26)) = X26
| ~ epred1_3(X19,X18,X17) )
& ( index(status,host(X26)) != elec_2
| ~ setIn(X26,alive)
| index(elid,host(X26)) = X26
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(X27,alive)
| ~ setIn(X28,alive)
| ~ setIn(host(X28),index(down,host(X27)))
| index(status,host(X28)) != elec_2
| leq(index(pendack,host(X28)),host(X27))
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(X30,alive)
| index(status,host(X30)) != norm
| index(ldr,host(X30)) != host(X30)
| ~ setIn(X29,alive)
| ~ setIn(host(X30),index(down,host(X29)))
| ~ epred1_3(X19,X18,X17) )
& ( leq(host(X33),host(X31))
| ~ setIn(X31,alive)
| ~ setIn(X33,alive)
| host(X33) != host(X32)
| index(status,host(X33)) != elec_2
| ~ elem(m_Down(X32),queue(host(X31)))
| ~ epred1_3(X19,X18,X17) )
& ( leq(host(X34),host(X35))
| ~ setIn(X34,alive)
| ~ setIn(X35,alive)
| index(status,host(X34)) != elec_2
| index(status,host(X35)) != elec_2
| leq(index(pendack,host(X35)),host(X34))
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(X38,alive)
| ~ elem(m_Ack(X38,X37),queue(host(X38)))
| host(X37) != host(X36)
| ~ setIn(X36,alive)
| index(ldr,host(X36)) != host(X36)
| index(status,host(X36)) != norm
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(X39,alive)
| ~ setIn(X41,alive)
| host(X41) != host(X40)
| index(status,host(X39)) != elec_2
| index(status,host(X41)) != elec_2
| ~ elem(m_Ack(X39,X40),queue(host(X39)))
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(X42,alive)
| ~ setIn(X44,alive)
| ~ elem(m_Down(X43),queue(host(X42)))
| host(X44) != host(X43)
| index(status,host(X44)) != elec_2
| leq(index(pendack,host(X44)),host(X42))
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(X47,alive)
| host(X46) != host(X47)
| index(status,host(X47)) != norm
| index(ldr,host(X47)) != host(X47)
| ~ setIn(X45,alive)
| ~ elem(m_Down(X46),queue(host(X45)))
| ~ epred1_3(X19,X18,X17) )
& ( leq(index(pendack,host(X49)),host(X48))
| ~ setIn(X49,alive)
| index(status,host(X49)) != elec_2
| ~ setIn(X48,alive)
| index(ldr,host(X48)) != host(X48)
| index(status,host(X48)) != norm
| ~ epred1_3(X19,X18,X17) )
& ( leq(host(X50),host(X51))
| ~ setIn(X50,alive)
| ~ setIn(X51,alive)
| index(status,host(X50)) != elec_2
| index(status,host(X51)) != elec_2
| ~ leq(index(pendack,host(X50)),index(pendack,host(X51)))
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(X54,alive)
| ~ elem(m_Down(X53),queue(host(X54)))
| host(X53) != host(X52)
| index(status,host(X54)) != elec_2
| ~ setIn(X52,alive)
| index(ldr,host(X52)) != host(X52)
| index(status,host(X52)) != norm
| ~ epred1_3(X19,X18,X17) )
& ( ~ leq(host(X57),esk7_6(X17,X18,X19,X55,X56,X57))
| leq(host(X57),host(X55))
| ~ elem(m_Down(X56),queue(host(X57)))
| index(status,host(X57)) != elec_1
| ~ setIn(X55,alive)
| index(ldr,host(X55)) != host(X55)
| index(status,host(X55)) != norm
| ~ epred1_3(X19,X18,X17) )
& ( leq(s(zero),esk7_6(X17,X18,X19,X55,X56,X57))
| leq(host(X57),host(X55))
| ~ elem(m_Down(X56),queue(host(X57)))
| index(status,host(X57)) != elec_1
| ~ setIn(X55,alive)
| index(ldr,host(X55)) != host(X55)
| index(status,host(X55)) != norm
| ~ epred1_3(X19,X18,X17) )
& ( ~ setIn(esk7_6(X17,X18,X19,X55,X56,X57),index(down,host(X57)))
| leq(host(X57),host(X55))
| ~ elem(m_Down(X56),queue(host(X57)))
| index(status,host(X57)) != elec_1
| ~ setIn(X55,alive)
| index(ldr,host(X55)) != host(X55)
| index(status,host(X55)) != norm
| ~ epred1_3(X19,X18,X17) )
& ( esk7_6(X17,X18,X19,X55,X56,X57) != host(X56)
| leq(host(X57),host(X55))
| ~ elem(m_Down(X56),queue(host(X57)))
| index(status,host(X57)) != elec_1
| ~ setIn(X55,alive)
| index(ldr,host(X55)) != host(X55)
| index(status,host(X55)) != norm
| ~ epred1_3(X19,X18,X17) )
& ( queue(host(X19)) = cons(m_Down(X18),X17)
| ~ epred1_3(X19,X18,X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])])])])]) ).
fof(c_0_11,negated_conjecture,
! [X22] :
( epred1_3(esk2_0,esk3_0,esk1_0)
& setIn(esk2_0,alive)
& ~ leq(host(esk2_0),host(esk3_0))
& ( index(ldr,host(esk2_0)) != host(esk3_0)
| index(status,host(esk2_0)) != norm )
& ( index(status,host(esk2_0)) != wait
| host(esk3_0) != host(index(elid,host(esk2_0))) )
& ( leq(host(esk2_0),X22)
| ~ leq(s(zero),X22)
| setIn(X22,index(down,host(esk2_0)))
| X22 = host(esk3_0) )
& index(status,host(esk2_0)) = elec_1
& leq(nbr_proc,host(esk2_0))
& ~ setIn(host(esk4_0),setEmpty)
& host(esk2_0) = host(esk5_0)
& host(esk2_0) != host(esk6_0)
& ~ leq(index(pendack,host(esk6_0)),host(esk5_0))
& setIn(esk6_0,alive)
& index(status,host(esk6_0)) = elec_2
& setIn(esk5_0,alive)
& host(esk2_0) = host(esk5_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])])])])])]) ).
fof(c_0_12,plain,
! [X4] : leq(s(zero),host(X4)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_13,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( queue(host(X1)) = cons(m_Down(X2),X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
epred1_3(esk2_0,esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X7,X8] :
( leq(X7,X8)
| leq(X8,X7) ),
inference(variable_rename,[status(thm)],[axiom_60]) ).
cnf(c_0_17,negated_conjecture,
( X1 = host(esk3_0)
| setIn(X1,index(down,host(esk2_0)))
| leq(host(esk2_0),X1)
| ~ leq(s(zero),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
cons(m_Down(esk3_0),esk1_0) = queue(host(esk2_0)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( leq(index(pendack,host(X4)),host(X5))
| ~ epred1_3(X1,X2,X3)
| index(status,host(X4)) != elec_2
| ~ setIn(host(X4),index(down,host(X5)))
| ~ setIn(X4,alive)
| ~ setIn(X5,alive) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
( host(X1) = host(esk3_0)
| leq(host(esk2_0),host(X1))
| setIn(host(X1),index(down,host(esk2_0))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
setIn(esk2_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,plain,
( leq(index(pendack,host(X4)),host(X5))
| ~ epred1_3(X1,X2,X3)
| index(status,host(X4)) != elec_2
| host(X4) != host(X6)
| ~ elem(m_Down(X6),queue(host(X5)))
| ~ setIn(X4,alive)
| ~ setIn(X5,alive) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
elem(m_Down(esk3_0),queue(host(esk2_0))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( X1 = host(esk3_0)
| leq(X1,s(zero))
| leq(host(esk2_0),X1)
| setIn(X1,index(down,host(esk2_0))) ),
inference(spm,[status(thm)],[c_0_17,c_0_21]) ).
cnf(c_0_28,plain,
( host(X1) = host(esk3_0)
| leq(index(pendack,host(X1)),host(esk2_0))
| leq(host(esk2_0),host(X1))
| index(status,host(X1)) != elec_2
| ~ epred1_3(X2,X3,X4)
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_29,plain,
( leq(index(pendack,host(X1)),host(esk2_0))
| index(status,host(X1)) != elec_2
| host(X1) != host(esk3_0)
| ~ epred1_3(X2,X3,X4)
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_24])]) ).
cnf(c_0_30,negated_conjecture,
~ leq(index(pendack,host(esk6_0)),host(esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
host(esk2_0) = host(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_32,plain,
! [X7,X8,X7,X8] :
( ( ~ leq(X7,X8)
| ~ leq(X8,X7)
| X7 = X8 )
& ( leq(X7,X8)
| X7 != X8 )
& ( leq(X8,X7)
| X7 != X8 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])])]) ).
fof(c_0_33,plain,
! [X4] : leq(host(X4),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
cnf(c_0_34,plain,
( leq(index(pendack,host(X1)),host(esk2_0))
| leq(host(esk2_0),host(X1))
| index(status,host(X1)) != elec_2
| ~ epred1_3(X2,X3,X4)
| ~ setIn(X1,alive) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_27]),c_0_24])]),c_0_28]),c_0_29]) ).
cnf(c_0_35,negated_conjecture,
index(status,host(esk6_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36,negated_conjecture,
setIn(esk6_0,alive),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,negated_conjecture,
~ leq(index(pendack,host(esk6_0)),host(esk2_0)),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( X1 = X2
| ~ leq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
leq(nbr_proc,host(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( leq(host(esk2_0),host(esk6_0))
| ~ epred1_3(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_42,negated_conjecture,
nbr_proc = host(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_43,negated_conjecture,
leq(host(esk2_0),host(esk6_0)),
inference(spm,[status(thm)],[c_0_41,c_0_15]) ).
cnf(c_0_44,plain,
leq(host(X1),host(esk2_0)),
inference(rw,[status(thm)],[c_0_40,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
host(esk2_0) != host(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_43]),c_0_44])]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SWV468+1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.15 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 16:33:37 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.29/2.47 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.29/2.47 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.29/2.47 # Preprocessing time : 0.020 s
% 0.29/2.47
% 0.29/2.47 # Proof found!
% 0.29/2.47 # SZS status Theorem
% 0.29/2.47 # SZS output start CNFRefutation
% See solution above
% 0.29/2.47 # Proof object total steps : 47
% 0.29/2.47 # Proof object clause steps : 31
% 0.29/2.47 # Proof object formula steps : 16
% 0.29/2.47 # Proof object conjectures : 21
% 0.29/2.47 # Proof object clause conjectures : 18
% 0.29/2.47 # Proof object formula conjectures : 3
% 0.29/2.47 # Proof object initial clauses used : 17
% 0.29/2.47 # Proof object initial formulas used : 6
% 0.29/2.47 # Proof object generating inferences : 11
% 0.29/2.47 # Proof object simplifying inferences : 19
% 0.29/2.47 # Training examples: 0 positive, 0 negative
% 0.29/2.47 # Parsed axioms : 67
% 0.29/2.47 # Removed by relevancy pruning/SinE : 29
% 0.29/2.47 # Initial clauses : 86
% 0.29/2.47 # Removed in clause preprocessing : 4
% 0.29/2.47 # Initial clauses in saturation : 82
% 0.29/2.47 # Processed clauses : 2787
% 0.29/2.47 # ...of these trivial : 202
% 0.29/2.47 # ...subsumed : 1264
% 0.29/2.47 # ...remaining for further processing : 1321
% 0.29/2.47 # Other redundant clauses eliminated : 4
% 0.29/2.47 # Clauses deleted for lack of memory : 0
% 0.29/2.47 # Backward-subsumed : 174
% 0.29/2.47 # Backward-rewritten : 91
% 0.29/2.47 # Generated clauses : 107718
% 0.29/2.47 # ...of the previous two non-trivial : 87469
% 0.29/2.47 # Contextual simplify-reflections : 907
% 0.29/2.47 # Paramodulations : 107606
% 0.29/2.47 # Factorizations : 81
% 0.29/2.47 # Equation resolutions : 10
% 0.29/2.47 # Current number of processed clauses : 1045
% 0.29/2.47 # Positive orientable unit clauses : 121
% 0.29/2.47 # Positive unorientable unit clauses: 0
% 0.29/2.47 # Negative unit clauses : 29
% 0.29/2.47 # Non-unit-clauses : 895
% 0.29/2.47 # Current number of unprocessed clauses: 66178
% 0.29/2.47 # ...number of literals in the above : 245263
% 0.29/2.47 # Current number of archived formulas : 0
% 0.29/2.47 # Current number of archived clauses : 265
% 0.29/2.47 # Clause-clause subsumption calls (NU) : 506513
% 0.29/2.47 # Rec. Clause-clause subsumption calls : 314714
% 0.29/2.47 # Non-unit clause-clause subsumptions : 2257
% 0.29/2.47 # Unit Clause-clause subsumption calls : 11645
% 0.29/2.47 # Rewrite failures with RHS unbound : 0
% 0.29/2.47 # BW rewrite match attempts : 2449
% 0.29/2.47 # BW rewrite match successes : 26
% 0.29/2.47 # Condensation attempts : 0
% 0.29/2.47 # Condensation successes : 0
% 0.29/2.47 # Termbank termtop insertions : 2680840
% 0.29/2.47
% 0.29/2.47 # -------------------------------------------------
% 0.29/2.47 # User time : 1.318 s
% 0.29/2.47 # System time : 0.028 s
% 0.29/2.47 # Total time : 1.346 s
% 0.29/2.47 # Maximum resident set size: 47228 pages
%------------------------------------------------------------------------------