TSTP Solution File: SWV459+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV459+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:47:02 EDT 2023
% Result : Theorem 1045.97s 133.64s
% Output : CNFRefutation 1045.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 21 unt; 0 def)
% Number of atoms : 568 ( 231 equ)
% Maximal formula atoms : 117 ( 10 avg)
% Number of connectives : 794 ( 280 ~; 209 |; 228 &)
% ( 4 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 67 ( 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; 18 con; 0-6 aty)
% Number of variables : 245 ( 4 sgn; 189 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj,conjecture,
! [X12,X13,X5,X6] :
( ( ! [X7] : leq(index(pendack,host(X7)),nbr_proc)
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( ~ setIn(X7,alive)
& leq(X14,X7)
& host(X14) = host(X7) )
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( 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(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,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] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> X14 = 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(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& 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] :
( s(host(X5)) != host(X17)
=> ( host(X5) != host(X17)
=> ! [X18] :
( host(X5) = host(X18)
=> ( ( ~ leq(s(host(X5)),host(X7))
& setIn(X18,alive)
& elem(m_Halt(X18),queue(host(X17))) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9si58JxrJp/E---3.1_25267.p',conj) ).
fof(axiom_60,axiom,
! [X5,X6] :
( leq(X5,X6)
| leq(X6,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.9si58JxrJp/E---3.1_25267.p',axiom_60) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9si58JxrJp/E---3.1_25267.p',axiom_46) ).
fof(axiom_64,axiom,
! [X5,X6] :
( leq(X5,s(X6))
<=> ( X5 = s(X6)
| leq(X5,X6) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9si58JxrJp/E---3.1_25267.p',axiom_64) ).
fof(axiom_59,axiom,
! [X5] : leq(X5,X5),
file('/export/starexec/sandbox2/tmp/tmp.9si58JxrJp/E---3.1_25267.p',axiom_59) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> X5 = X6 ),
file('/export/starexec/sandbox2/tmp/tmp.9si58JxrJp/E---3.1_25267.p',axiom_61) ).
fof(c_0_6,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
<=> ( ! [X7] : leq(index(pendack,host(X7)),nbr_proc)
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( ~ setIn(X7,alive)
& leq(X14,X7)
& host(X14) = host(X7) )
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( 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(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,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] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> X14 = 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(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& 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,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( epred1_3(X12,X6,X5)
=> ( 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] :
( s(host(X5)) != host(X17)
=> ( host(X5) != host(X17)
=> ! [X18] :
( host(X5) = host(X18)
=> ( ( ~ leq(s(host(X5)),host(X7))
& setIn(X18,alive)
& elem(m_Halt(X18),queue(host(X17))) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_6]) ).
fof(c_0_8,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
=> ( ! [X7] : leq(index(pendack,host(X7)),nbr_proc)
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( ~ setIn(X7,alive)
& leq(X14,X7)
& host(X14) = host(X7) )
=> ~ setIn(X14,alive) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( 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(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,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] :
( ( setIn(X7,alive)
& setIn(X14,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X14) )
=> X14 = 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(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& 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_9,negated_conjecture,
! [X151] :
( epred1_3(esk5_0,esk7_0,esk6_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),X151)
| ~ leq(s(zero),X151)
| setIn(X151,index(down,host(esk6_0)))
| X151 = host(esk7_0) )
& index(status,host(esk6_0)) = elec_1
& ~ leq(nbr_proc,host(esk6_0))
& host(esk6_0) != host(esk8_0)
& s(host(esk6_0)) != host(esk9_0)
& host(esk6_0) != host(esk9_0)
& host(esk6_0) = host(esk10_0)
& ~ leq(s(host(esk6_0)),host(esk8_0))
& setIn(esk10_0,alive)
& elem(m_Halt(esk10_0),queue(host(esk9_0)))
& 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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_10,plain,
! [X136,X137] :
( leq(X136,X137)
| leq(X137,X136) ),
inference(variable_rename,[status(thm)],[axiom_60]) ).
fof(c_0_11,plain,
! [X99,X100,X101] :
( ( ~ elem(X99,cons(X100,X101))
| X99 = X100
| elem(X99,X101) )
& ( X99 != X100
| elem(X99,cons(X100,X101)) )
& ( ~ elem(X99,X101)
| elem(X99,cons(X100,X101)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
fof(c_0_12,plain,
! [X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192] :
( ( leq(index(pendack,host(X158)),nbr_proc)
| ~ epred1_3(X157,X156,X155) )
& ( ~ elem(m_Down(X160),queue(host(X159)))
| ~ setIn(X160,alive)
| ~ epred1_3(X157,X156,X155) )
& ( ~ elem(m_Ldr(X162),queue(host(X161)))
| ~ leq(host(X161),host(X162))
| ~ epred1_3(X157,X156,X155) )
& ( ~ elem(m_Halt(X164),queue(host(X163)))
| ~ leq(host(X163),host(X164))
| ~ epred1_3(X157,X156,X155) )
& ( ~ elem(m_Ack(X167,X165),queue(host(X166)))
| ~ leq(host(X165),host(X167))
| ~ epred1_3(X157,X156,X155) )
& ( setIn(X168,alive)
| ~ leq(X169,X168)
| host(X169) != host(X168)
| ~ setIn(X169,alive)
| ~ epred1_3(X157,X156,X155) )
& ( X171 = X170
| host(X171) != host(X170)
| ~ setIn(X170,alive)
| ~ setIn(X171,alive)
| ~ epred1_3(X157,X156,X155) )
& ( index(status,host(X172)) != elec_1
| ~ setIn(X172,alive)
| index(elid,host(X172)) = X172
| ~ epred1_3(X157,X156,X155) )
& ( index(status,host(X172)) != elec_2
| ~ setIn(X172,alive)
| index(elid,host(X172)) = X172
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(X175,alive)
| ~ elem(m_Down(X174),queue(host(X175)))
| host(X174) != host(X173)
| ~ setIn(X173,alive)
| index(ldr,host(X173)) != host(X173)
| index(status,host(X173)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( leq(host(X176),host(X177))
| ~ setIn(X176,alive)
| ~ setIn(X177,alive)
| index(status,host(X176)) != elec_2
| index(status,host(X177)) != elec_2
| leq(index(pendack,host(X177)),host(X176))
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(X180,alive)
| ~ elem(m_Ack(X180,X179),queue(host(X180)))
| host(X179) != host(X178)
| ~ setIn(X178,alive)
| index(ldr,host(X178)) != host(X178)
| index(status,host(X178)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( leq(index(pendack,host(X182)),host(X181))
| ~ setIn(X182,alive)
| index(status,host(X182)) != elec_2
| ~ setIn(X181,alive)
| index(ldr,host(X181)) != host(X181)
| index(status,host(X181)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(X183,alive)
| ~ setIn(X184,alive)
| index(ldr,host(X183)) != host(X183)
| index(status,host(X183)) != norm
| index(status,host(X184)) != norm
| index(ldr,host(X184)) != host(X184)
| X184 = X183
| ~ epred1_3(X157,X156,X155) )
& ( leq(host(X185),host(X186))
| ~ setIn(X185,alive)
| ~ setIn(X186,alive)
| index(status,host(X185)) != elec_2
| index(status,host(X186)) != elec_2
| ~ leq(index(pendack,host(X185)),index(pendack,host(X186)))
| ~ epred1_3(X157,X156,X155) )
& ( leq(index(pendack,host(X189)),host(X187))
| ~ setIn(X189,alive)
| ~ elem(m_Halt(X189),queue(host(X188)))
| index(status,host(X189)) != elec_2
| ~ setIn(X187,alive)
| index(ldr,host(X187)) != host(X187)
| index(status,host(X187)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( ~ leq(host(X192),esk11_6(X155,X156,X157,X190,X191,X192))
| leq(host(X192),host(X190))
| ~ elem(m_Down(X191),queue(host(X192)))
| index(status,host(X192)) != elec_1
| ~ setIn(X190,alive)
| index(ldr,host(X190)) != host(X190)
| index(status,host(X190)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( leq(s(zero),esk11_6(X155,X156,X157,X190,X191,X192))
| leq(host(X192),host(X190))
| ~ elem(m_Down(X191),queue(host(X192)))
| index(status,host(X192)) != elec_1
| ~ setIn(X190,alive)
| index(ldr,host(X190)) != host(X190)
| index(status,host(X190)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( ~ setIn(esk11_6(X155,X156,X157,X190,X191,X192),index(down,host(X192)))
| leq(host(X192),host(X190))
| ~ elem(m_Down(X191),queue(host(X192)))
| index(status,host(X192)) != elec_1
| ~ setIn(X190,alive)
| index(ldr,host(X190)) != host(X190)
| index(status,host(X190)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( esk11_6(X155,X156,X157,X190,X191,X192) != host(X191)
| leq(host(X192),host(X190))
| ~ elem(m_Down(X191),queue(host(X192)))
| index(status,host(X192)) != elec_1
| ~ setIn(X190,alive)
| index(ldr,host(X190)) != host(X190)
| index(status,host(X190)) != norm
| ~ epred1_3(X157,X156,X155) )
& ( queue(host(X155)) = cons(m_Down(X156),X157)
| ~ epred1_3(X157,X156,X155) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_13,plain,
! [X145,X146] :
( ( ~ leq(X145,s(X146))
| X145 = s(X146)
| leq(X145,X146) )
& ( X145 != s(X146)
| leq(X145,s(X146)) )
& ( ~ leq(X145,X146)
| leq(X145,s(X146)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).
cnf(c_0_14,negated_conjecture,
~ leq(s(host(esk6_0)),host(esk8_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( queue(host(X1)) = cons(m_Down(X2),X3)
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
epred1_3(esk5_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
( X1 = s(X2)
| leq(X1,X2)
| ~ leq(X1,s(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
leq(host(esk8_0),s(host(esk6_0))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_21,plain,
! [X135] : leq(X135,X135),
inference(variable_rename,[status(thm)],[axiom_59]) ).
cnf(c_0_22,plain,
( leq(s(zero),esk11_6(X1,X2,X3,X4,X5,X6))
| leq(host(X6),host(X4))
| ~ elem(m_Down(X5),queue(host(X6)))
| index(status,host(X6)) != elec_1
| ~ setIn(X4,alive)
| index(ldr,host(X4)) != host(X4)
| index(status,host(X4)) != norm
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_25,plain,
! [X138,X139] :
( ( ~ leq(X138,X139)
| ~ leq(X139,X138)
| X138 = X139 )
& ( leq(X138,X139)
| X138 != X139 )
& ( leq(X139,X138)
| X138 != X139 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
cnf(c_0_26,negated_conjecture,
( s(host(esk6_0)) = host(esk8_0)
| leq(host(esk8_0),host(esk6_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( leq(host(X6),host(X4))
| esk11_6(X1,X2,X3,X4,X5,X6) != host(X5)
| ~ elem(m_Down(X5),queue(host(X6)))
| index(status,host(X6)) != elec_1
| ~ setIn(X4,alive)
| index(ldr,host(X4)) != host(X4)
| index(status,host(X4)) != norm
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,plain,
( leq(host(X1),host(X5))
| ~ leq(host(X1),esk11_6(X2,X3,X4,X5,X6,X1))
| ~ elem(m_Down(X6),queue(host(X1)))
| index(status,host(X1)) != elec_1
| ~ setIn(X5,alive)
| index(ldr,host(X5)) != host(X5)
| index(status,host(X5)) != norm
| ~ epred1_3(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,plain,
( leq(host(X6),host(X4))
| ~ setIn(esk11_6(X1,X2,X3,X4,X5,X6),index(down,host(X6)))
| ~ elem(m_Down(X5),queue(host(X6)))
| index(status,host(X6)) != elec_1
| ~ setIn(X4,alive)
| index(ldr,host(X4)) != host(X4)
| index(status,host(X4)) != norm
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
( leq(s(zero),esk11_6(esk6_0,esk7_0,esk5_0,X1,X2,X3))
| leq(host(X3),host(X1))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X3)) != elec_1
| index(status,host(X1)) != norm
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X3))) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_32,negated_conjecture,
elem(m_Down(esk7_0),queue(host(esk6_0))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
index(status,host(esk6_0)) = elec_1,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_34,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
leq(host(esk8_0),host(esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_26]),c_0_27])]) ).
cnf(c_0_36,negated_conjecture,
host(esk6_0) != host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,negated_conjecture,
( leq(host(X1),host(X2))
| esk11_6(esk6_0,esk7_0,esk5_0,X2,X3,X1) != host(X3)
| index(ldr,host(X2)) != host(X2)
| index(status,host(X1)) != elec_1
| index(status,host(X2)) != norm
| ~ setIn(X2,alive)
| ~ elem(m_Down(X3),queue(host(X1))) ),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_38,negated_conjecture,
( leq(host(X1),host(X2))
| index(ldr,host(X2)) != host(X2)
| index(status,host(X2)) != norm
| index(status,host(X1)) != elec_1
| ~ leq(host(X1),esk11_6(esk6_0,esk7_0,esk5_0,X2,X3,X1))
| ~ setIn(X2,alive)
| ~ elem(m_Down(X3),queue(host(X1))) ),
inference(spm,[status(thm)],[c_0_29,c_0_18]) ).
cnf(c_0_39,negated_conjecture,
( leq(host(X1),host(X2))
| index(ldr,host(X2)) != host(X2)
| index(status,host(X1)) != elec_1
| index(status,host(X2)) != norm
| ~ setIn(esk11_6(esk6_0,esk7_0,esk5_0,X2,X3,X1),index(down,host(X1)))
| ~ setIn(X2,alive)
| ~ elem(m_Down(X3),queue(host(X1))) ),
inference(spm,[status(thm)],[c_0_30,c_0_18]) ).
cnf(c_0_40,negated_conjecture,
( leq(s(zero),esk11_6(esk6_0,esk7_0,esk5_0,X1,esk7_0,esk6_0))
| leq(host(esk6_0),host(X1))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ 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_41,negated_conjecture,
setIn(esk8_0,alive),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_42,negated_conjecture,
index(ldr,host(esk8_0)) = host(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_43,negated_conjecture,
index(status,host(esk8_0)) = norm,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,negated_conjecture,
~ leq(host(esk6_0),host(esk8_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_45,negated_conjecture,
( leq(host(esk6_0),host(X1))
| esk11_6(esk6_0,esk7_0,esk5_0,X1,esk7_0,esk6_0) != host(esk7_0)
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_32]),c_0_33])]) ).
cnf(c_0_46,negated_conjecture,
( leq(host(esk6_0),host(X1))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ leq(host(esk6_0),esk11_6(esk6_0,esk7_0,esk5_0,X1,esk7_0,esk6_0))
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_32]),c_0_33])]) ).
cnf(c_0_47,negated_conjecture,
( leq(host(esk6_0),host(X1))
| index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ setIn(esk11_6(esk6_0,esk7_0,esk5_0,X1,esk7_0,esk6_0),index(down,host(esk6_0)))
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_32]),c_0_33])]) ).
cnf(c_0_48,negated_conjecture,
( leq(host(esk6_0),X1)
| setIn(X1,index(down,host(esk6_0)))
| X1 = host(esk7_0)
| ~ leq(s(zero),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_49,negated_conjecture,
leq(s(zero),esk11_6(esk6_0,esk7_0,esk5_0,esk8_0,esk7_0,esk6_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_50,negated_conjecture,
esk11_6(esk6_0,esk7_0,esk5_0,esk8_0,esk7_0,esk6_0) != host(esk7_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_51,negated_conjecture,
~ leq(host(esk6_0),esk11_6(esk6_0,esk7_0,esk5_0,esk8_0,esk7_0,esk6_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_52,negated_conjecture,
~ setIn(esk11_6(esk6_0,esk7_0,esk5_0,esk8_0,esk7_0,esk6_0),index(down,host(esk6_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SWV459+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 03:27:42 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.9si58JxrJp/E---3.1_25267.p
% 1045.97/133.64 # Version: 3.1pre001
% 1045.97/133.64 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1045.97/133.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1045.97/133.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1045.97/133.64 # Starting new_bool_3 with 300s (1) cores
% 1045.97/133.64 # Starting new_bool_1 with 300s (1) cores
% 1045.97/133.64 # Starting sh5l with 300s (1) cores
% 1045.97/133.64 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 25352 completed with status 0
% 1045.97/133.64 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1045.97/133.64 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1045.97/133.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1045.97/133.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1045.97/133.64 # No SInE strategy applied
% 1045.97/133.64 # Search class: FGHSM-FFMM31-MFFFFFNN
% 1045.97/133.64 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1045.97/133.64 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 1045.97/133.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1045.97/133.64 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 1045.97/133.64 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 1045.97/133.64 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1045.97/133.64 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 25358 completed with status 7
% 1045.97/133.64 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 113s (1) cores
% 1045.97/133.64 # G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with pid 25360 completed with status 7
% 1045.97/133.64 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with 113s (1) cores
% 1045.97/133.64 # U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 25362 completed with status 7
% 1045.97/133.64 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 113s (1) cores
% 1045.97/133.64 # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 25361 completed with status 7
% 1045.97/133.64 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 113s (1) cores
% 1045.97/133.64 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 25389 completed with status 0
% 1045.97/133.64 # Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 1045.97/133.64 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1045.97/133.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1045.97/133.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1045.97/133.64 # No SInE strategy applied
% 1045.97/133.64 # Search class: FGHSM-FFMM31-MFFFFFNN
% 1045.97/133.64 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1045.97/133.64 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 113s (1) cores
% 1045.97/133.64 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1045.97/133.64 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 1045.97/133.64 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 1045.97/133.64 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1045.97/133.64 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 25358 completed with status 7
% 1045.97/133.64 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 113s (1) cores
% 1045.97/133.64 # Preprocessing time : 0.002 s
% 1045.97/133.64
% 1045.97/133.64 # Proof found!
% 1045.97/133.64 # SZS status Theorem
% 1045.97/133.64 # SZS output start CNFRefutation
% See solution above
% 1045.97/133.64 # Parsed axioms : 67
% 1045.97/133.64 # Removed by relevancy pruning/SinE : 0
% 1045.97/133.64 # Initial clauses : 135
% 1045.97/133.64 # Removed in clause preprocessing : 6
% 1045.97/133.64 # Initial clauses in saturation : 129
% 1045.97/133.64 # Processed clauses : 29077
% 1045.97/133.64 # ...of these trivial : 678
% 1045.97/133.64 # ...subsumed : 18566
% 1045.97/133.64 # ...remaining for further processing : 9833
% 1045.97/133.64 # Other redundant clauses eliminated : 14
% 1045.97/133.64 # Clauses deleted for lack of memory : 0
% 1045.97/133.64 # Backward-subsumed : 3178
% 1045.97/133.64 # Backward-rewritten : 1231
% 1045.97/133.64 # Generated clauses : 937909
% 1045.97/133.64 # ...of the previous two non-redundant : 619586
% 1045.97/133.64 # ...aggressively subsumed : 0
% 1045.97/133.64 # Contextual simplify-reflections : 62
% 1045.97/133.64 # Paramodulations : 937736
% 1045.97/133.64 # Factorizations : 80
% 1045.97/133.64 # NegExts : 0
% 1045.97/133.64 # Equation resolutions : 78
% 1045.97/133.64 # Total rewrite steps : 382090
% 1045.97/133.64 # Propositional unsat checks : 0
% 1045.97/133.64 # Propositional check models : 0
% 1045.97/133.64 # Propositional check unsatisfiable : 0
% 1045.97/133.64 # Propositional clauses : 0
% 1045.97/133.64 # Propositional clauses after purity: 0
% 1045.97/133.64 # Propositional unsat core size : 0
% 1045.97/133.64 # Propositional preprocessing time : 0.000
% 1045.97/133.64 # Propositional encoding time : 0.000
% 1045.97/133.64 # Propositional solver time : 0.000
% 1045.97/133.64 # Success case prop preproc time : 0.000
% 1045.97/133.64 # Success case prop encoding time : 0.000
% 1045.97/133.64 # Success case prop solver time : 0.000
% 1045.97/133.64 # Current number of processed clauses : 5412
% 1045.97/133.64 # Positive orientable unit clauses : 702
% 1045.97/133.64 # Positive unorientable unit clauses: 0
% 1045.97/133.64 # Negative unit clauses : 53
% 1045.97/133.64 # Non-unit-clauses : 4657
% 1045.97/133.64 # Current number of unprocessed clauses: 578626
% 1045.97/133.64 # ...number of literals in the above : 2881631
% 1045.97/133.64 # Current number of archived formulas : 0
% 1045.97/133.64 # Current number of archived clauses : 4411
% 1045.97/133.64 # Clause-clause subsumption calls (NU) : 15710480
% 1045.97/133.64 # Rec. Clause-clause subsumption calls : 6231881
% 1045.97/133.64 # Non-unit clause-clause subsumptions : 20823
% 1045.97/133.64 # Unit Clause-clause subsumption calls : 356147
% 1045.97/133.64 # Rewrite failures with RHS unbound : 0
% 1045.97/133.64 # BW rewrite match attempts : 164689
% 1045.97/133.64 # BW rewrite match successes : 173
% 1045.97/133.64 # Condensation attempts : 0
% 1045.97/133.64 # Condensation successes : 0
% 1045.97/133.64 # Termbank termtop insertions : 18798709
% 1045.97/133.64
% 1045.97/133.64 # -------------------------------------------------
% 1045.97/133.64 # User time : 463.865 s
% 1045.97/133.64 # System time : 6.931 s
% 1045.97/133.64 # Total time : 470.797 s
% 1045.97/133.64 # Maximum resident set size: 2236 pages
% 1045.97/133.64
% 1045.97/133.64 # -------------------------------------------------
% 1045.97/133.64 # User time : 642.174 s
% 1045.97/133.64 # System time : 10.240 s
% 1045.97/133.64 # Total time : 652.415 s
% 1045.97/133.64 # Maximum resident set size: 1784 pages
% 1045.97/133.64 % E---3.1 exiting
% 1045.97/133.64 % E---3.1 exiting
%------------------------------------------------------------------------------