TSTP Solution File: SWV477+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV477+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 17:47:34 EDT 2022
% Result : Theorem 9.35s 2.71s
% Output : CNFRefutation 9.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 78 ( 50 unt; 0 def)
% Number of atoms : 689 ( 300 equ)
% Maximal formula atoms : 179 ( 8 avg)
% Number of connectives : 905 ( 294 ~; 223 |; 312 &)
% ( 3 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 83 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 33 ( 33 usr; 22 con; 0-8 aty)
% Number of variables : 302 ( 47 sgn 233 !; 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] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [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,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] :
( ( 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] :
( ( 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,X15,X14] :
( ( ~ leq(host(X15),host(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,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& elem(m_Down(X16),queue(host(X15))) ) )
& ! [X7,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& setIn(host(X16),index(down,host(X15))) ) )
& ! [X7,X15,X14] :
( ( host(X14) != host(X15)
& setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X15) )
=> ~ ( setIn(X15,alive)
& index(status,host(X15)) = norm
& index(ldr,host(X15)) = host(X15) ) )
& ! [X7,X15,X14] :
( ( host(X14) != host(X15)
& setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = wait
& host(index(elid,host(X14))) = host(X15) )
=> ~ ( setIn(X15,alive)
& index(status,host(X15)) = norm
& index(ldr,host(X15)) = host(X15) ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& setIn(X7,alive)
& leq(host(X7),host(X14))
& elem(m_Down(X15),queue(host(X14)))
& host(X16) = host(X14)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X7,X16),queue(host(X7))) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& setIn(X14,alive)
& leq(nbr_proc,s(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X16),queue(host(X14)))
& host(X16) = s(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_Ack(X13,X6),X12) )
=> ( setIn(X5,alive)
=> ( ( index(elid,host(X5)) = X13
& index(status,host(X5)) = elec_2
& host(X6) = index(pendack,host(X5)) )
=> ( leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7] :
( ~ ( setIn(host(X7),index(acks,host(X5)))
| host(X7) = host(X6) )
=> ! [X17] :
( host(X5) = host(X17)
=> ! [X18,X19,X20] :
( host(X5) != host(X20)
=> ( ( ! [X21] :
( ( ~ leq(host(X20),X21)
& leq(s(zero),X21) )
=> ( setIn(X21,index(down,host(X20)))
| X21 = host(X19) ) )
& setIn(X20,alive)
& leq(nbr_proc,s(host(X20)))
& elem(m_Down(X18),queue(host(X20)))
& elem(m_Down(X19),queue(host(X20)))
& host(X18) = s(host(X20))
& index(status,host(X20)) = elec_1 )
=> ~ ( setIn(X17,alive)
& host(X5) = host(X17) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
fof(axiom_04,axiom,
! [X3] : leq(host(X3),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(axiom_58,axiom,
! [X5] : ~ leq(s(X5),X5),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(axiom_36,axiom,
! [X5,X4] : tail(cons(X5,X4)) = X4,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_36) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
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(c_0_7,plain,
! [X13,X5,X6,X12] :
( epred1_4(X12,X6,X5,X13)
<=> ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [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,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] :
( ( 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] :
( ( 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,X15,X14] :
( ( ~ leq(host(X15),host(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,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& elem(m_Down(X16),queue(host(X15))) ) )
& ! [X7,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& setIn(host(X16),index(down,host(X15))) ) )
& ! [X7,X15,X14] :
( ( host(X14) != host(X15)
& setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X15) )
=> ~ ( setIn(X15,alive)
& index(status,host(X15)) = norm
& index(ldr,host(X15)) = host(X15) ) )
& ! [X7,X15,X14] :
( ( host(X14) != host(X15)
& setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = wait
& host(index(elid,host(X14))) = host(X15) )
=> ~ ( setIn(X15,alive)
& index(status,host(X15)) = norm
& index(ldr,host(X15)) = host(X15) ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& setIn(X7,alive)
& leq(host(X7),host(X14))
& elem(m_Down(X15),queue(host(X14)))
& host(X16) = host(X14)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X7,X16),queue(host(X7))) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& setIn(X14,alive)
& leq(nbr_proc,s(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X16),queue(host(X14)))
& host(X16) = s(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_Ack(X13,X6),X12) ) ),
introduced(definition) ).
fof(c_0_8,negated_conjecture,
~ ! [X12,X13,X5,X6] :
( epred1_4(X12,X6,X5,X13)
=> ( setIn(X5,alive)
=> ( ( index(elid,host(X5)) = X13
& index(status,host(X5)) = elec_2
& host(X6) = index(pendack,host(X5)) )
=> ( leq(nbr_proc,index(pendack,host(X5)))
=> ! [X7] :
( ~ ( setIn(host(X7),index(acks,host(X5)))
| host(X7) = host(X6) )
=> ! [X17] :
( host(X5) = host(X17)
=> ! [X18,X19,X20] :
( host(X5) != host(X20)
=> ( ( ! [X21] :
( ( ~ leq(host(X20),X21)
& leq(s(zero),X21) )
=> ( setIn(X21,index(down,host(X20)))
| X21 = host(X19) ) )
& setIn(X20,alive)
& leq(nbr_proc,s(host(X20)))
& elem(m_Down(X18),queue(host(X20)))
& elem(m_Down(X19),queue(host(X20)))
& host(X18) = s(host(X20))
& index(status,host(X20)) = elec_1 )
=> ~ ( setIn(X17,alive)
& host(X5) = host(X17) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_7]) ).
fof(c_0_9,plain,
! [X13,X5,X6,X12] :
( epred1_4(X12,X6,X5,X13)
=> ( ! [X7,X14] :
( elem(m_Ldr(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( elem(m_Down(X14),queue(host(X7)))
=> host(X14) != host(X7) )
& ! [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,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] :
( ( 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] :
( ( 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,X15,X14] :
( ( ~ leq(host(X15),host(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,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& elem(m_Down(X16),queue(host(X15))) ) )
& ! [X7,X16,X15,X14] :
( ( host(X15) != host(X7)
& setIn(X7,alive)
& setIn(X15,alive)
& host(X16) = host(X7)
& host(X14) = host(X15) )
=> ~ ( elem(m_Down(X14),queue(host(X7)))
& setIn(host(X16),index(down,host(X15))) ) )
& ! [X7,X15,X14] :
( ( host(X14) != host(X15)
& setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = norm
& index(ldr,host(X14)) = host(X15) )
=> ~ ( setIn(X15,alive)
& index(status,host(X15)) = norm
& index(ldr,host(X15)) = host(X15) ) )
& ! [X7,X15,X14] :
( ( host(X14) != host(X15)
& setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& host(X15) = host(X7)
& index(status,host(X14)) = wait
& host(index(elid,host(X14))) = host(X15) )
=> ~ ( setIn(X15,alive)
& index(status,host(X15)) = norm
& index(ldr,host(X15)) = host(X15) ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& setIn(X7,alive)
& leq(host(X7),host(X14))
& elem(m_Down(X15),queue(host(X14)))
& host(X16) = host(X14)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X7,X16),queue(host(X7))) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& setIn(X14,alive)
& leq(nbr_proc,s(host(X14)))
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X16),queue(host(X14)))
& host(X16) = s(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_Ack(X13,X6),X12) ) ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
fof(c_0_10,negated_conjecture,
! [X160] :
( epred1_4(esk5_0,esk8_0,esk7_0,esk6_0)
& setIn(esk7_0,alive)
& index(elid,host(esk7_0)) = esk6_0
& index(status,host(esk7_0)) = elec_2
& host(esk8_0) = index(pendack,host(esk7_0))
& leq(nbr_proc,index(pendack,host(esk7_0)))
& ~ setIn(host(esk9_0),index(acks,host(esk7_0)))
& host(esk9_0) != host(esk8_0)
& host(esk7_0) = host(esk10_0)
& host(esk7_0) != host(esk13_0)
& ( leq(host(esk13_0),X160)
| ~ leq(s(zero),X160)
| setIn(X160,index(down,host(esk13_0)))
| X160 = host(esk12_0) )
& setIn(esk13_0,alive)
& leq(nbr_proc,s(host(esk13_0)))
& elem(m_Down(esk11_0),queue(host(esk13_0)))
& elem(m_Down(esk12_0),queue(host(esk13_0)))
& host(esk11_0) = s(host(esk13_0))
& index(status,host(esk13_0)) = elec_1
& setIn(esk10_0,alive)
& host(esk7_0) = host(esk10_0) ),
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_11,plain,
! [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,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X206,X207,X208,X209] :
( ( ~ elem(m_Ldr(X166),queue(host(X165)))
| ~ leq(host(X165),host(X166))
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ elem(m_Down(X168),queue(host(X167)))
| host(X168) != host(X167)
| ~ epred1_4(X164,X163,X162,X161) )
& ( X170 = X169
| host(X170) != host(X169)
| ~ setIn(X169,alive)
| ~ setIn(X170,alive)
| ~ epred1_4(X164,X163,X162,X161) )
& ( index(status,host(X171)) != elec_1
| ~ setIn(X171,alive)
| index(elid,host(X171)) = X171
| ~ epred1_4(X164,X163,X162,X161) )
& ( index(status,host(X171)) != elec_2
| ~ setIn(X171,alive)
| index(elid,host(X171)) = X171
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ setIn(X172,alive)
| ~ setIn(X173,alive)
| ~ setIn(host(X173),index(down,host(X172)))
| index(status,host(X173)) != elec_2
| leq(index(pendack,host(X173)),host(X172))
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ setIn(X175,alive)
| index(status,host(X175)) != norm
| index(ldr,host(X175)) != host(X175)
| ~ setIn(X174,alive)
| ~ setIn(host(X175),index(down,host(X174)))
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ setIn(X176,alive)
| ~ setIn(X178,alive)
| ~ elem(m_Down(X177),queue(host(X176)))
| host(X178) != host(X177)
| index(status,host(X178)) != elec_2
| leq(index(pendack,host(X178)),host(X176))
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ setIn(X181,alive)
| host(X180) != host(X181)
| index(status,host(X181)) != norm
| index(ldr,host(X181)) != host(X181)
| ~ setIn(X179,alive)
| ~ elem(m_Down(X180),queue(host(X179)))
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ setIn(X182,alive)
| ~ setIn(X183,alive)
| index(ldr,host(X182)) != host(X182)
| index(status,host(X182)) != norm
| index(status,host(X183)) != norm
| index(ldr,host(X183)) != host(X183)
| X183 = X182
| ~ epred1_4(X164,X163,X162,X161) )
& ( leq(host(X185),host(X186))
| ~ setIn(X186,alive)
| ~ elem(m_Down(X185),queue(host(X186)))
| host(X185) != host(X184)
| ~ setIn(X184,alive)
| index(ldr,host(X184)) != host(X184)
| index(status,host(X184)) != norm
| ~ epred1_4(X164,X163,X162,X161) )
& ( host(X189) = host(X187)
| ~ setIn(X187,alive)
| ~ setIn(X189,alive)
| host(X188) != host(X187)
| host(X190) != host(X189)
| ~ elem(m_Down(X190),queue(host(X187)))
| ~ elem(m_Down(X188),queue(host(X189)))
| ~ epred1_4(X164,X163,X162,X161) )
& ( host(X193) = host(X191)
| ~ setIn(X191,alive)
| ~ setIn(X193,alive)
| host(X192) != host(X191)
| host(X194) != host(X193)
| ~ elem(m_Down(X194),queue(host(X191)))
| ~ setIn(host(X192),index(down,host(X193)))
| ~ epred1_4(X164,X163,X162,X161) )
& ( host(X197) = host(X196)
| ~ setIn(X197,alive)
| ~ elem(m_Down(X195),queue(host(X197)))
| host(X196) != host(X195)
| index(status,host(X197)) != norm
| index(ldr,host(X197)) != host(X196)
| ~ setIn(X196,alive)
| index(status,host(X196)) != norm
| index(ldr,host(X196)) != host(X196)
| ~ epred1_4(X164,X163,X162,X161) )
& ( host(X200) = host(X199)
| ~ setIn(X200,alive)
| ~ elem(m_Down(X198),queue(host(X200)))
| host(X199) != host(X198)
| index(status,host(X200)) != wait
| host(index(elid,host(X200))) != host(X199)
| ~ setIn(X199,alive)
| index(status,host(X199)) != norm
| index(ldr,host(X199)) != host(X199)
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ leq(host(X204),esk14_8(X161,X162,X163,X164,X201,X202,X203,X204))
| ~ setIn(X201,alive)
| ~ leq(host(X201),host(X204))
| ~ elem(m_Down(X203),queue(host(X204)))
| host(X202) != host(X204)
| index(status,host(X201)) != elec_2
| index(status,host(X204)) != elec_1
| ~ elem(m_Ack(X201,X202),queue(host(X201)))
| ~ epred1_4(X164,X163,X162,X161) )
& ( leq(s(zero),esk14_8(X161,X162,X163,X164,X201,X202,X203,X204))
| ~ setIn(X201,alive)
| ~ leq(host(X201),host(X204))
| ~ elem(m_Down(X203),queue(host(X204)))
| host(X202) != host(X204)
| index(status,host(X201)) != elec_2
| index(status,host(X204)) != elec_1
| ~ elem(m_Ack(X201,X202),queue(host(X201)))
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ setIn(esk14_8(X161,X162,X163,X164,X201,X202,X203,X204),index(down,host(X204)))
| ~ setIn(X201,alive)
| ~ leq(host(X201),host(X204))
| ~ elem(m_Down(X203),queue(host(X204)))
| host(X202) != host(X204)
| index(status,host(X201)) != elec_2
| index(status,host(X204)) != elec_1
| ~ elem(m_Ack(X201,X202),queue(host(X201)))
| ~ epred1_4(X164,X163,X162,X161) )
& ( esk14_8(X161,X162,X163,X164,X201,X202,X203,X204) != host(X203)
| ~ setIn(X201,alive)
| ~ leq(host(X201),host(X204))
| ~ elem(m_Down(X203),queue(host(X204)))
| host(X202) != host(X204)
| index(status,host(X201)) != elec_2
| index(status,host(X204)) != elec_1
| ~ elem(m_Ack(X201,X202),queue(host(X201)))
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ leq(host(X209),esk15_8(X161,X162,X163,X164,X206,X207,X208,X209))
| ~ setIn(X209,alive)
| ~ leq(nbr_proc,s(host(X209)))
| ~ elem(m_Down(X208),queue(host(X209)))
| ~ elem(m_Down(X207),queue(host(X209)))
| host(X207) != s(host(X209))
| index(status,host(X209)) != elec_1
| ~ setIn(X206,alive)
| index(ldr,host(X206)) != host(X206)
| index(status,host(X206)) != norm
| ~ epred1_4(X164,X163,X162,X161) )
& ( leq(s(zero),esk15_8(X161,X162,X163,X164,X206,X207,X208,X209))
| ~ setIn(X209,alive)
| ~ leq(nbr_proc,s(host(X209)))
| ~ elem(m_Down(X208),queue(host(X209)))
| ~ elem(m_Down(X207),queue(host(X209)))
| host(X207) != s(host(X209))
| index(status,host(X209)) != elec_1
| ~ setIn(X206,alive)
| index(ldr,host(X206)) != host(X206)
| index(status,host(X206)) != norm
| ~ epred1_4(X164,X163,X162,X161) )
& ( ~ setIn(esk15_8(X161,X162,X163,X164,X206,X207,X208,X209),index(down,host(X209)))
| ~ setIn(X209,alive)
| ~ leq(nbr_proc,s(host(X209)))
| ~ elem(m_Down(X208),queue(host(X209)))
| ~ elem(m_Down(X207),queue(host(X209)))
| host(X207) != s(host(X209))
| index(status,host(X209)) != elec_1
| ~ setIn(X206,alive)
| index(ldr,host(X206)) != host(X206)
| index(status,host(X206)) != norm
| ~ epred1_4(X164,X163,X162,X161) )
& ( esk15_8(X161,X162,X163,X164,X206,X207,X208,X209) != host(X208)
| ~ setIn(X209,alive)
| ~ leq(nbr_proc,s(host(X209)))
| ~ elem(m_Down(X208),queue(host(X209)))
| ~ elem(m_Down(X207),queue(host(X209)))
| host(X207) != s(host(X209))
| index(status,host(X209)) != elec_1
| ~ setIn(X206,alive)
| index(ldr,host(X206)) != host(X206)
| index(status,host(X206)) != norm
| ~ epred1_4(X164,X163,X162,X161) )
& ( queue(host(X162)) = cons(m_Ack(X161,X163),X164)
| ~ epred1_4(X164,X163,X162,X161) ) ),
inference(distribute,[status(thm)],[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_9])])])])])]) ).
cnf(c_0_12,negated_conjecture,
index(status,host(esk7_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
host(esk7_0) = host(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
index(elid,host(esk7_0)) = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( index(elid,host(X1)) = X1
| index(status,host(X1)) != elec_2
| ~ setIn(X1,alive)
| ~ epred1_4(X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
setIn(esk10_0,alive),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
index(status,host(esk10_0)) = elec_2,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
epred1_4(esk5_0,esk8_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
esk6_0 = index(elid,host(esk10_0)),
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( index(elid,host(esk10_0)) = esk10_0
| ~ epred1_4(X1,X2,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_21,negated_conjecture,
epred1_4(esk5_0,esk8_0,esk7_0,index(elid,host(esk10_0))),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
setIn(esk7_0,alive),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
index(elid,host(esk10_0)) = esk10_0,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_24,plain,
! [X27] : leq(host(X27),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
cnf(c_0_25,negated_conjecture,
host(esk8_0) = index(pendack,host(esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
( esk7_0 = esk10_0
| ~ epred1_4(X1,X2,X3,X4) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_22]),c_0_13]),c_0_13]),c_0_17])]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
epred1_4(esk5_0,esk8_0,esk7_0,esk10_0),
inference(rw,[status(thm)],[c_0_21,c_0_23]) ).
fof(c_0_28,plain,
! [X141,X142] :
( ( ~ leq(X141,X142)
| ~ leq(X142,X141)
| X141 = X142 )
& ( leq(X141,X142)
| X141 != X142 )
& ( leq(X142,X141)
| X141 != X142 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
cnf(c_0_29,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
host(esk8_0) = index(pendack,host(esk10_0)),
inference(rw,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_31,negated_conjecture,
leq(nbr_proc,index(pendack,host(esk7_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
host(esk11_0) = s(host(esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
esk7_0 = esk10_0,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
leq(index(pendack,host(esk10_0)),nbr_proc),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
leq(nbr_proc,index(pendack,host(esk10_0))),
inference(rw,[status(thm)],[c_0_31,c_0_13]) ).
fof(c_0_37,plain,
! [X137] : ~ leq(s(X137),X137),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_58])]) ).
cnf(c_0_38,negated_conjecture,
leq(nbr_proc,s(host(esk13_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,negated_conjecture,
leq(s(host(esk13_0)),nbr_proc),
inference(spm,[status(thm)],[c_0_29,c_0_32]) ).
fof(c_0_40,plain,
! [X85,X86] : tail(cons(X85,X86)) = X86,
inference(variable_rename,[status(thm)],[axiom_36]) ).
cnf(c_0_41,plain,
( queue(host(X1)) = cons(m_Ack(X2,X3),X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_42,negated_conjecture,
epred1_4(esk5_0,esk8_0,esk10_0,esk10_0),
inference(rw,[status(thm)],[c_0_27,c_0_33]) ).
cnf(c_0_43,plain,
( leq(index(pendack,host(X2)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ setIn(host(X2),index(down,host(X1)))
| index(status,host(X2)) != elec_2
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_44,negated_conjecture,
index(pendack,host(esk10_0)) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_45,plain,
~ leq(s(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,negated_conjecture,
s(host(esk13_0)) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_39])]) ).
cnf(c_0_47,plain,
tail(cons(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
cons(m_Ack(esk10_0,esk8_0),esk5_0) = queue(host(esk10_0)),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( leq(nbr_proc,host(X1))
| ~ epred1_4(X2,X3,X4,X5)
| ~ setIn(host(esk10_0),index(down,host(X1)))
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_16]),c_0_44]),c_0_17])]) ).
cnf(c_0_50,negated_conjecture,
setIn(esk13_0,alive),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_51,negated_conjecture,
~ leq(nbr_proc,host(esk13_0)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
esk5_0 = tail(queue(host(esk10_0))),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( ~ epred1_4(X1,X2,X3,X4)
| ~ setIn(host(esk10_0),index(down,host(esk13_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_54,negated_conjecture,
epred1_4(tail(queue(host(esk10_0))),esk8_0,esk10_0,esk10_0),
inference(rw,[status(thm)],[c_0_42,c_0_52]) ).
fof(c_0_55,plain,
! [X26] : leq(s(zero),host(X26)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_56,plain,
( leq(index(pendack,host(X2)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| ~ elem(m_Down(X3),queue(host(X1)))
| host(X2) != host(X3)
| index(status,host(X2)) != elec_2
| ~ epred1_4(X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_57,negated_conjecture,
~ setIn(host(esk10_0),index(down,host(esk13_0))),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( leq(host(esk13_0),X1)
| setIn(X1,index(down,host(esk13_0)))
| X1 = host(esk12_0)
| ~ leq(s(zero),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_59,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
host(esk7_0) != host(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_61,plain,
! [X148,X149] :
( ( ~ leq(X148,s(X149))
| X148 = s(X149)
| leq(X148,X149) )
& ( X148 != s(X149)
| leq(X148,s(X149)) )
& ( ~ leq(X148,X149)
| leq(X148,s(X149)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).
cnf(c_0_62,negated_conjecture,
( leq(nbr_proc,host(X1))
| host(esk10_0) != host(X2)
| ~ epred1_4(X3,X4,X5,X6)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_16]),c_0_44]),c_0_17])]) ).
cnf(c_0_63,negated_conjecture,
( host(esk12_0) = host(esk10_0)
| leq(host(esk13_0),host(esk10_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_64,negated_conjecture,
host(esk13_0) != host(esk10_0),
inference(rw,[status(thm)],[c_0_60,c_0_13]) ).
cnf(c_0_65,plain,
( X1 = s(X2)
| leq(X1,X2)
| ~ leq(X1,s(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( host(esk10_0) != host(X1)
| ~ epred1_4(X2,X3,X4,X5)
| ~ elem(m_Down(X1),queue(host(esk13_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_50]),c_0_51]) ).
cnf(c_0_67,negated_conjecture,
host(esk11_0) = nbr_proc,
inference(rw,[status(thm)],[c_0_32,c_0_46]) ).
cnf(c_0_68,negated_conjecture,
elem(m_Down(esk11_0),queue(host(esk13_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_69,negated_conjecture,
( host(esk12_0) = host(esk10_0)
| ~ leq(host(esk10_0),host(esk13_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_63]),c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( X1 = nbr_proc
| leq(X1,host(esk13_0))
| ~ leq(X1,nbr_proc) ),
inference(spm,[status(thm)],[c_0_65,c_0_46]) ).
cnf(c_0_71,negated_conjecture,
( host(esk10_0) != nbr_proc
| ~ epred1_4(X1,X2,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_72,negated_conjecture,
( host(esk12_0) = host(esk10_0)
| host(esk10_0) = nbr_proc ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_29])]) ).
cnf(c_0_73,negated_conjecture,
host(esk10_0) != nbr_proc,
inference(spm,[status(thm)],[c_0_71,c_0_54]) ).
cnf(c_0_74,negated_conjecture,
host(esk12_0) = host(esk10_0),
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_75,negated_conjecture,
elem(m_Down(esk12_0),queue(host(esk13_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_76,negated_conjecture,
~ epred1_4(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_74]),c_0_75])]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_54,c_0_76]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV477+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 03:26:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.35/2.71 # ENIGMATIC: Solved by autoschedule:
% 9.35/2.71 # No SInE strategy applied
% 9.35/2.71 # Trying AutoSched0 for 150 seconds
% 9.35/2.71 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S070I
% 9.35/2.71 # and selection function SelectVGNonCR.
% 9.35/2.71 #
% 9.35/2.71 # Preprocessing time : 0.029 s
% 9.35/2.71 # Presaturation interreduction done
% 9.35/2.71
% 9.35/2.71 # Proof found!
% 9.35/2.71 # SZS status Theorem
% 9.35/2.71 # SZS output start CNFRefutation
% See solution above
% 9.35/2.71 # Training examples: 0 positive, 0 negative
% 9.35/2.71
% 9.35/2.71 # -------------------------------------------------
% 9.35/2.71 # User time : 0.228 s
% 9.35/2.71 # System time : 0.015 s
% 9.35/2.71 # Total time : 0.243 s
% 9.35/2.71 # Maximum resident set size: 7120 pages
% 9.35/2.71
%------------------------------------------------------------------------------