TSTP Solution File: SWV469+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV469+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 0.26s 1.43s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 22 unt; 0 def)
% Number of atoms : 567 ( 228 equ)
% Maximal formula atoms : 130 ( 11 avg)
% Number of connectives : 764 ( 247 ~; 182 |; 259 &)
% ( 4 <=>; 72 =>; 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 : 26 ( 26 usr; 17 con; 0-6 aty)
% Number of variables : 250 ( 27 sgn 208 !; 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] :
( host(X5) != host(X7)
=> ! [X17] :
( host(X5) = host(X17)
=> ( ( ~ leq(s(host(X5)),host(X7))
& setIn(X17,alive) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) ) ) ) ) ) ) ) ) ),
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_60,axiom,
! [X5,X6] :
( leq(X5,X6)
| leq(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
fof(axiom_64,axiom,
! [X5,X6] :
( leq(X5,s(X6))
<=> ( X5 = s(X6)
| leq(X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(axiom_59,axiom,
! [X5] : leq(X5,X5),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
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(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) ) ),
introduced(definition) ).
fof(c_0_8,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_7]) ).
fof(c_0_9,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] :
( host(X5) != host(X7)
=> ! [X17] :
( host(X5) = host(X17)
=> ( ( ~ leq(s(host(X5)),host(X7))
& setIn(X17,alive) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_7]) ).
fof(c_0_10,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_11,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),esk10_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),esk10_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(esk10_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) )
& ( esk10_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_8])])])])])])])]) ).
fof(c_0_12,negated_conjecture,
! [X22] :
( epred1_3(esk6_0,esk7_0,esk5_0)
& setIn(esk6_0,alive)
& ~ leq(host(esk6_0),host(esk7_0))
& ( index(ldr,host(esk6_0)) != host(esk7_0)
| index(status,host(esk6_0)) != norm )
& ( index(status,host(esk6_0)) != wait
| host(esk7_0) != host(index(elid,host(esk6_0))) )
& ( leq(host(esk6_0),X22)
| ~ leq(s(zero),X22)
| setIn(X22,index(down,host(esk6_0)))
| X22 = host(esk7_0) )
& index(status,host(esk6_0)) = elec_1
& ~ leq(nbr_proc,host(esk6_0))
& host(esk6_0) != host(esk8_0)
& host(esk6_0) = host(esk9_0)
& ~ leq(s(host(esk6_0)),host(esk8_0))
& setIn(esk9_0,alive)
& setIn(esk8_0,alive)
& index(ldr,host(esk8_0)) = host(esk8_0)
& index(status,host(esk8_0)) = norm ),
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_9])])])])])])]) ).
fof(c_0_13,plain,
! [X7,X8] :
( leq(X7,X8)
| leq(X8,X7) ),
inference(variable_rename,[status(thm)],[axiom_60]) ).
cnf(c_0_14,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( queue(host(X1)) = cons(m_Down(X2),X3)
| ~ epred1_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
epred1_3(esk6_0,esk7_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X7,X8,X7,X8] :
( ( ~ leq(X7,s(X8))
| X7 = s(X8)
| leq(X7,X8) )
& ( X7 != s(X8)
| leq(X7,s(X8)) )
& ( ~ leq(X7,X8)
| leq(X7,s(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_64])])])])]) ).
cnf(c_0_18,negated_conjecture,
~ leq(s(host(esk6_0)),host(esk8_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X4] : leq(s(zero),host(X4)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_21,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
( leq(X1,X2)
| X1 = s(X2)
| ~ leq(X1,s(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
leq(host(esk8_0),s(host(esk6_0))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_25,plain,
! [X6] : leq(X6,X6),
inference(variable_rename,[status(thm)],[axiom_59]) ).
cnf(c_0_26,plain,
( ~ epred1_3(X1,X2,X3)
| ~ setIn(host(X4),index(down,host(X5)))
| ~ setIn(X5,alive)
| index(ldr,host(X4)) != host(X4)
| index(status,host(X4)) != norm
| ~ setIn(X4,alive) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,negated_conjecture,
host(esk6_0) = host(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
setIn(esk9_0,alive),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
( X1 = host(esk7_0)
| setIn(X1,index(down,host(esk6_0)))
| leq(host(esk6_0),X1)
| ~ leq(s(zero),X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
( ~ epred1_3(X1,X2,X3)
| ~ elem(m_Down(X4),queue(host(X5)))
| ~ setIn(X5,alive)
| index(ldr,host(X6)) != host(X6)
| index(status,host(X6)) != norm
| host(X4) != host(X6)
| ~ setIn(X6,alive) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,negated_conjecture,
elem(m_Down(esk7_0),queue(host(esk6_0))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_33,negated_conjecture,
setIn(esk6_0,alive),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_34,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])])])])]) ).
cnf(c_0_35,negated_conjecture,
( s(host(esk6_0)) = host(esk8_0)
| leq(host(esk8_0),host(esk6_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_36,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,negated_conjecture,
( index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ epred1_3(X2,X3,X4)
| ~ setIn(host(X1),index(down,host(esk6_0)))
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_38,negated_conjecture,
( host(X1) = host(esk7_0)
| leq(host(esk6_0),host(X1))
| setIn(host(X1),index(down,host(esk6_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
( index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| host(esk7_0) != host(X1)
| ~ epred1_3(X2,X3,X4)
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_40,plain,
( X1 = X2
| ~ leq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
leq(host(esk8_0),host(esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_35]),c_0_36])]) ).
cnf(c_0_42,negated_conjecture,
host(esk6_0) != host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,negated_conjecture,
( leq(host(esk6_0),host(X1))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ epred1_3(X2,X3,X4)
| ~ setIn(X1,alive) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_44,negated_conjecture,
~ leq(host(esk6_0),host(esk8_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( leq(host(esk6_0),host(X1))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ setIn(X1,alive) ),
inference(spm,[status(thm)],[c_0_43,c_0_16]) ).
cnf(c_0_46,negated_conjecture,
index(ldr,host(esk8_0)) = host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_47,negated_conjecture,
index(status,host(esk8_0)) = norm,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_48,negated_conjecture,
setIn(esk8_0,alive),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV469+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 22:04:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.26/1.43 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.26/1.43 # Preprocessing time : 0.022 s
% 0.26/1.43
% 0.26/1.43 # Proof found!
% 0.26/1.43 # SZS status Theorem
% 0.26/1.43 # SZS output start CNFRefutation
% See solution above
% 0.26/1.43 # Proof object total steps : 50
% 0.26/1.43 # Proof object clause steps : 32
% 0.26/1.43 # Proof object formula steps : 18
% 0.26/1.43 # Proof object conjectures : 24
% 0.26/1.43 # Proof object clause conjectures : 21
% 0.26/1.43 # Proof object formula conjectures : 3
% 0.26/1.43 # Proof object initial clauses used : 19
% 0.26/1.43 # Proof object initial formulas used : 7
% 0.26/1.43 # Proof object generating inferences : 12
% 0.26/1.43 # Proof object simplifying inferences : 13
% 0.26/1.43 # Training examples: 0 positive, 0 negative
% 0.26/1.43 # Parsed axioms : 67
% 0.26/1.43 # Removed by relevancy pruning/SinE : 0
% 0.26/1.43 # Initial clauses : 132
% 0.26/1.43 # Removed in clause preprocessing : 6
% 0.26/1.43 # Initial clauses in saturation : 126
% 0.26/1.43 # Processed clauses : 6162
% 0.26/1.43 # ...of these trivial : 134
% 0.26/1.43 # ...subsumed : 4564
% 0.26/1.43 # ...remaining for further processing : 1464
% 0.26/1.43 # Other redundant clauses eliminated : 20
% 0.26/1.43 # Clauses deleted for lack of memory : 0
% 0.26/1.43 # Backward-subsumed : 63
% 0.26/1.43 # Backward-rewritten : 83
% 0.26/1.43 # Generated clauses : 48353
% 0.26/1.43 # ...of the previous two non-trivial : 36718
% 0.26/1.43 # Contextual simplify-reflections : 1117
% 0.26/1.43 # Paramodulations : 48244
% 0.26/1.43 # Factorizations : 20
% 0.26/1.43 # Equation resolutions : 79
% 0.26/1.43 # Current number of processed clauses : 1304
% 0.26/1.43 # Positive orientable unit clauses : 115
% 0.26/1.43 # Positive unorientable unit clauses: 0
% 0.26/1.43 # Negative unit clauses : 172
% 0.26/1.43 # Non-unit-clauses : 1017
% 0.26/1.43 # Current number of unprocessed clauses: 25783
% 0.26/1.43 # ...number of literals in the above : 107764
% 0.26/1.43 # Current number of archived formulas : 0
% 0.26/1.43 # Current number of archived clauses : 156
% 0.26/1.43 # Clause-clause subsumption calls (NU) : 1134310
% 0.26/1.43 # Rec. Clause-clause subsumption calls : 538545
% 0.26/1.43 # Non-unit clause-clause subsumptions : 2083
% 0.26/1.43 # Unit Clause-clause subsumption calls : 40162
% 0.26/1.43 # Rewrite failures with RHS unbound : 0
% 0.26/1.43 # BW rewrite match attempts : 759
% 0.26/1.43 # BW rewrite match successes : 32
% 0.26/1.43 # Condensation attempts : 0
% 0.26/1.43 # Condensation successes : 0
% 0.26/1.43 # Termbank termtop insertions : 732233
% 0.26/1.43
% 0.26/1.43 # -------------------------------------------------
% 0.26/1.43 # User time : 0.747 s
% 0.26/1.43 # System time : 0.019 s
% 0.26/1.43 # Total time : 0.766 s
% 0.26/1.43 # Maximum resident set size: 25812 pages
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.43 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------