TSTP Solution File: SWV469+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 19:47:03 EDT 2023
% Result : Theorem 4.55s 1.10s
% Output : CNFRefutation 4.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 22 unt; 0 def)
% Number of atoms : 566 ( 226 equ)
% Maximal formula atoms : 130 ( 11 avg)
% Number of connectives : 763 ( 248 ~; 180 |; 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 : 252 ( 29 sgn; 201 !; 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/tmp/tmp.akvOxwh6er/E---3.1_4620.p',conj) ).
fof(axiom_60,axiom,
! [X5,X6] :
( leq(X5,X6)
| leq(X6,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.akvOxwh6er/E---3.1_4620.p',axiom_60) ).
fof(axiom_64,axiom,
! [X5,X6] :
( leq(X5,s(X6))
<=> ( X5 = s(X6)
| leq(X5,X6) ) ),
file('/export/starexec/sandbox2/tmp/tmp.akvOxwh6er/E---3.1_4620.p',axiom_64) ).
fof(axiom_59,axiom,
! [X5] : leq(X5,X5),
file('/export/starexec/sandbox2/tmp/tmp.akvOxwh6er/E---3.1_4620.p',axiom_59) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox2/tmp/tmp.akvOxwh6er/E---3.1_4620.p',axiom_02) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> X5 = X6 ),
file('/export/starexec/sandbox2/tmp/tmp.akvOxwh6er/E---3.1_4620.p',axiom_61) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.akvOxwh6er/E---3.1_4620.p',axiom_46) ).
fof(c_0_7,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
<=> ( ! [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,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] :
( 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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_7]) ).
fof(c_0_9,negated_conjecture,
! [X21] :
( epred1_3(esk1_0,esk3_0,esk2_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),X21)
| ~ leq(s(zero),X21)
| setIn(X21,index(down,host(esk2_0)))
| X21 = host(esk3_0) )
& index(status,host(esk2_0)) = elec_1
& ~ leq(nbr_proc,host(esk2_0))
& host(esk2_0) != host(esk4_0)
& host(esk2_0) = host(esk5_0)
& ~ leq(s(host(esk2_0)),host(esk4_0))
& setIn(esk5_0,alive)
& setIn(esk4_0,alive)
& index(ldr,host(esk4_0)) = host(esk4_0)
& index(status,host(esk4_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_8])])])])]) ).
fof(c_0_10,plain,
! [X32,X33] :
( leq(X32,X33)
| leq(X33,X32) ),
inference(variable_rename,[status(thm)],[axiom_60]) ).
fof(c_0_11,plain,
! [X5,X6,X12] :
( epred1_3(X12,X6,X5)
=> ( ! [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_12,plain,
! [X42,X43] :
( ( ~ leq(X42,s(X43))
| X42 = s(X43)
| leq(X42,X43) )
& ( X42 != s(X43)
| leq(X42,s(X43)) )
& ( ~ leq(X42,X43)
| leq(X42,s(X43)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).
cnf(c_0_13,negated_conjecture,
~ leq(s(host(esk2_0)),host(esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160] :
( ( ~ elem(m_Ldr(X124),queue(host(X123)))
| ~ leq(host(X123),host(X124))
| ~ epred1_3(X122,X121,X120) )
& ( X126 = X125
| host(X126) != host(X125)
| ~ setIn(X125,alive)
| ~ setIn(X126,alive)
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(X128,alive)
| index(status,host(X128)) != elec_2
| ~ elem(m_Ack(X127,X128),queue(host(X127)))
| ~ epred1_3(X122,X121,X120) )
& ( index(status,host(X129)) != elec_1
| ~ setIn(X129,alive)
| index(elid,host(X129)) = X129
| ~ epred1_3(X122,X121,X120) )
& ( index(status,host(X129)) != elec_2
| ~ setIn(X129,alive)
| index(elid,host(X129)) = X129
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(X130,alive)
| ~ setIn(X131,alive)
| ~ setIn(host(X131),index(down,host(X130)))
| index(status,host(X131)) != elec_2
| leq(index(pendack,host(X131)),host(X130))
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(X133,alive)
| index(status,host(X133)) != norm
| index(ldr,host(X133)) != host(X133)
| ~ setIn(X132,alive)
| ~ setIn(host(X133),index(down,host(X132)))
| ~ epred1_3(X122,X121,X120) )
& ( leq(host(X136),host(X134))
| ~ setIn(X134,alive)
| ~ setIn(X136,alive)
| host(X136) != host(X135)
| index(status,host(X136)) != elec_2
| ~ elem(m_Down(X135),queue(host(X134)))
| ~ epred1_3(X122,X121,X120) )
& ( leq(host(X137),host(X138))
| ~ setIn(X137,alive)
| ~ setIn(X138,alive)
| index(status,host(X137)) != elec_2
| index(status,host(X138)) != elec_2
| leq(index(pendack,host(X138)),host(X137))
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(X141,alive)
| ~ elem(m_Ack(X141,X140),queue(host(X141)))
| host(X140) != host(X139)
| ~ setIn(X139,alive)
| index(ldr,host(X139)) != host(X139)
| index(status,host(X139)) != norm
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(X142,alive)
| ~ setIn(X144,alive)
| host(X144) != host(X143)
| index(status,host(X142)) != elec_2
| index(status,host(X144)) != elec_2
| ~ elem(m_Ack(X142,X143),queue(host(X142)))
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(X145,alive)
| ~ setIn(X147,alive)
| ~ elem(m_Down(X146),queue(host(X145)))
| host(X147) != host(X146)
| index(status,host(X147)) != elec_2
| leq(index(pendack,host(X147)),host(X145))
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(X150,alive)
| host(X149) != host(X150)
| index(status,host(X150)) != norm
| index(ldr,host(X150)) != host(X150)
| ~ setIn(X148,alive)
| ~ elem(m_Down(X149),queue(host(X148)))
| ~ epred1_3(X122,X121,X120) )
& ( leq(index(pendack,host(X152)),host(X151))
| ~ setIn(X152,alive)
| index(status,host(X152)) != elec_2
| ~ setIn(X151,alive)
| index(ldr,host(X151)) != host(X151)
| index(status,host(X151)) != norm
| ~ epred1_3(X122,X121,X120) )
& ( leq(host(X153),host(X154))
| ~ setIn(X153,alive)
| ~ setIn(X154,alive)
| index(status,host(X153)) != elec_2
| index(status,host(X154)) != elec_2
| ~ leq(index(pendack,host(X153)),index(pendack,host(X154)))
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(X157,alive)
| ~ elem(m_Down(X156),queue(host(X157)))
| host(X156) != host(X155)
| index(status,host(X157)) != elec_2
| ~ setIn(X155,alive)
| index(ldr,host(X155)) != host(X155)
| index(status,host(X155)) != norm
| ~ epred1_3(X122,X121,X120) )
& ( ~ leq(host(X160),esk6_6(X120,X121,X122,X158,X159,X160))
| leq(host(X160),host(X158))
| ~ elem(m_Down(X159),queue(host(X160)))
| index(status,host(X160)) != elec_1
| ~ setIn(X158,alive)
| index(ldr,host(X158)) != host(X158)
| index(status,host(X158)) != norm
| ~ epred1_3(X122,X121,X120) )
& ( leq(s(zero),esk6_6(X120,X121,X122,X158,X159,X160))
| leq(host(X160),host(X158))
| ~ elem(m_Down(X159),queue(host(X160)))
| index(status,host(X160)) != elec_1
| ~ setIn(X158,alive)
| index(ldr,host(X158)) != host(X158)
| index(status,host(X158)) != norm
| ~ epred1_3(X122,X121,X120) )
& ( ~ setIn(esk6_6(X120,X121,X122,X158,X159,X160),index(down,host(X160)))
| leq(host(X160),host(X158))
| ~ elem(m_Down(X159),queue(host(X160)))
| index(status,host(X160)) != elec_1
| ~ setIn(X158,alive)
| index(ldr,host(X158)) != host(X158)
| index(status,host(X158)) != norm
| ~ epred1_3(X122,X121,X120) )
& ( esk6_6(X120,X121,X122,X158,X159,X160) != host(X159)
| leq(host(X160),host(X158))
| ~ elem(m_Down(X159),queue(host(X160)))
| index(status,host(X160)) != elec_1
| ~ setIn(X158,alive)
| index(ldr,host(X158)) != host(X158)
| index(status,host(X158)) != norm
| ~ epred1_3(X122,X121,X120) )
& ( queue(host(X120)) = cons(m_Down(X121),X122)
| ~ epred1_3(X122,X121,X120) ) ),
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_11])])])])]) ).
cnf(c_0_16,plain,
( X1 = s(X2)
| leq(X1,X2)
| ~ leq(X1,s(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
leq(host(esk4_0),s(host(esk2_0))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_18,plain,
! [X31] : leq(X31,X31),
inference(variable_rename,[status(thm)],[axiom_59]) ).
cnf(c_0_19,plain,
( ~ setIn(X1,alive)
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1)
| ~ setIn(X2,alive)
| ~ setIn(host(X1),index(down,host(X2)))
| ~ epred1_3(X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
setIn(esk2_0,alive),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_21,plain,
! [X45] : leq(s(zero),host(X45)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
fof(c_0_22,plain,
! [X34,X35] :
( ( ~ leq(X34,X35)
| ~ leq(X35,X34)
| X34 = X35 )
& ( leq(X34,X35)
| X34 != X35 )
& ( leq(X35,X34)
| X34 != X35 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
cnf(c_0_23,negated_conjecture,
( s(host(esk2_0)) = host(esk4_0)
| leq(host(esk4_0),host(esk2_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ epred1_3(X2,X3,X4)
| ~ setIn(host(X1),index(down,host(esk2_0)))
| ~ setIn(X1,alive) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
setIn(esk4_0,alive),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,negated_conjecture,
index(ldr,host(esk4_0)) = host(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
index(status,host(esk4_0)) = norm,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,negated_conjecture,
( leq(host(esk2_0),X1)
| setIn(X1,index(down,host(esk2_0)))
| X1 = host(esk3_0)
| ~ leq(s(zero),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
leq(host(esk4_0),host(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_23]),c_0_24])]) ).
cnf(c_0_33,negated_conjecture,
host(esk2_0) != host(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_34,plain,
! [X52,X53,X54] :
( ( ~ elem(X52,cons(X53,X54))
| X52 = X53
| elem(X52,X54) )
& ( X52 != X53
| elem(X52,cons(X53,X54)) )
& ( ~ elem(X52,X54)
| elem(X52,cons(X53,X54)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
cnf(c_0_35,plain,
( ~ setIn(X1,alive)
| host(X2) != host(X1)
| index(status,host(X1)) != norm
| index(ldr,host(X1)) != host(X1)
| ~ setIn(X3,alive)
| ~ elem(m_Down(X2),queue(host(X3)))
| ~ epred1_3(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_36,negated_conjecture,
( ~ epred1_3(X1,X2,X3)
| ~ setIn(host(esk4_0),index(down,host(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]) ).
cnf(c_0_37,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_29,c_0_30]) ).
cnf(c_0_38,negated_conjecture,
~ leq(host(esk2_0),host(esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_39,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( queue(host(X1)) = cons(m_Down(X2),X3)
| ~ epred1_3(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_41,negated_conjecture,
epred1_3(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_42,negated_conjecture,
( index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| host(X1) != host(X2)
| ~ epred1_3(X3,X4,X5)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(esk2_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_20]) ).
cnf(c_0_43,negated_conjecture,
( host(esk3_0) = host(esk4_0)
| ~ epred1_3(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_44,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_45,negated_conjecture,
cons(m_Down(esk3_0),esk1_0) = queue(host(esk2_0)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( host(esk4_0) != host(X1)
| ~ epred1_3(X2,X3,X4)
| ~ elem(m_Down(X1),queue(host(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_26]),c_0_27]),c_0_28])]) ).
cnf(c_0_47,negated_conjecture,
host(esk3_0) = host(esk4_0),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
elem(m_Down(esk3_0),queue(host(esk2_0))),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
~ epred1_3(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_41,c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWV469+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n013.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 : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Oct 3 03:18:14 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 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.akvOxwh6er/E---3.1_4620.p
% 4.55/1.10 # Version: 3.1pre001
% 4.55/1.10 # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.55/1.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.55/1.10 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.55/1.10 # Starting new_bool_3 with 300s (1) cores
% 4.55/1.10 # Starting new_bool_1 with 300s (1) cores
% 4.55/1.10 # Starting sh5l with 300s (1) cores
% 4.55/1.10 # new_bool_3 with pid 4699 completed with status 0
% 4.55/1.10 # Result found by new_bool_3
% 4.55/1.10 # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.55/1.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.55/1.10 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.55/1.10 # Starting new_bool_3 with 300s (1) cores
% 4.55/1.10 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.55/1.10 # Search class: FGHSM-FFMM31-MFFFFFNN
% 4.55/1.10 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.55/1.10 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 4.55/1.10 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 4703 completed with status 0
% 4.55/1.10 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 4.55/1.10 # Preprocessing class: FSLSSMSMSSSNFFN.
% 4.55/1.10 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.55/1.10 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 4.55/1.10 # Starting new_bool_3 with 300s (1) cores
% 4.55/1.10 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.55/1.10 # Search class: FGHSM-FFMM31-MFFFFFNN
% 4.55/1.10 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 4.55/1.10 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 4.55/1.10 # Preprocessing time : 0.003 s
% 4.55/1.10 # Presaturation interreduction done
% 4.55/1.10
% 4.55/1.10 # Proof found!
% 4.55/1.10 # SZS status Theorem
% 4.55/1.10 # SZS output start CNFRefutation
% See solution above
% 4.55/1.10 # Parsed axioms : 67
% 4.55/1.10 # Removed by relevancy pruning/SinE : 14
% 4.55/1.10 # Initial clauses : 103
% 4.55/1.10 # Removed in clause preprocessing : 6
% 4.55/1.10 # Initial clauses in saturation : 97
% 4.55/1.10 # Processed clauses : 4078
% 4.55/1.10 # ...of these trivial : 229
% 4.55/1.10 # ...subsumed : 2620
% 4.55/1.10 # ...remaining for further processing : 1229
% 4.55/1.10 # Other redundant clauses eliminated : 5
% 4.55/1.10 # Clauses deleted for lack of memory : 0
% 4.55/1.10 # Backward-subsumed : 149
% 4.55/1.10 # Backward-rewritten : 83
% 4.55/1.10 # Generated clauses : 84064
% 4.55/1.10 # ...of the previous two non-redundant : 38103
% 4.55/1.10 # ...aggressively subsumed : 0
% 4.55/1.10 # Contextual simplify-reflections : 2
% 4.55/1.10 # Paramodulations : 83930
% 4.55/1.10 # Factorizations : 116
% 4.55/1.10 # NegExts : 0
% 4.55/1.10 # Equation resolutions : 17
% 4.55/1.10 # Total rewrite steps : 59776
% 4.55/1.10 # Propositional unsat checks : 0
% 4.55/1.10 # Propositional check models : 0
% 4.55/1.10 # Propositional check unsatisfiable : 0
% 4.55/1.10 # Propositional clauses : 0
% 4.55/1.10 # Propositional clauses after purity: 0
% 4.55/1.10 # Propositional unsat core size : 0
% 4.55/1.10 # Propositional preprocessing time : 0.000
% 4.55/1.10 # Propositional encoding time : 0.000
% 4.55/1.10 # Propositional solver time : 0.000
% 4.55/1.10 # Success case prop preproc time : 0.000
% 4.55/1.10 # Success case prop encoding time : 0.000
% 4.55/1.10 # Success case prop solver time : 0.000
% 4.55/1.10 # Current number of processed clauses : 901
% 4.55/1.10 # Positive orientable unit clauses : 175
% 4.55/1.10 # Positive unorientable unit clauses: 0
% 4.55/1.10 # Negative unit clauses : 32
% 4.55/1.10 # Non-unit-clauses : 694
% 4.55/1.10 # Current number of unprocessed clauses: 33834
% 4.55/1.10 # ...number of literals in the above : 112858
% 4.55/1.10 # Current number of archived formulas : 0
% 4.55/1.10 # Current number of archived clauses : 324
% 4.55/1.10 # Clause-clause subsumption calls (NU) : 230011
% 4.55/1.10 # Rec. Clause-clause subsumption calls : 188231
% 4.55/1.10 # Non-unit clause-clause subsumptions : 2664
% 4.55/1.10 # Unit Clause-clause subsumption calls : 7341
% 4.55/1.10 # Rewrite failures with RHS unbound : 0
% 4.55/1.10 # BW rewrite match attempts : 2486
% 4.55/1.10 # BW rewrite match successes : 10
% 4.55/1.10 # Condensation attempts : 0
% 4.55/1.10 # Condensation successes : 0
% 4.55/1.10 # Termbank termtop insertions : 1169937
% 4.55/1.10
% 4.55/1.10 # -------------------------------------------------
% 4.55/1.10 # User time : 0.564 s
% 4.55/1.10 # System time : 0.020 s
% 4.55/1.10 # Total time : 0.584 s
% 4.55/1.10 # Maximum resident set size: 2128 pages
% 4.55/1.10
% 4.55/1.10 # -------------------------------------------------
% 4.55/1.10 # User time : 0.566 s
% 4.55/1.10 # System time : 0.023 s
% 4.55/1.10 # Total time : 0.589 s
% 4.55/1.10 # Maximum resident set size: 1784 pages
% 4.55/1.10 % E---3.1 exiting
% 4.55/1.10 % E---3.1 exiting
%------------------------------------------------------------------------------