%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV461+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 17:47:31 EDT 2022
% Result : Theorem 11.94s 2.84s
% Output : CNFRefutation 11.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 86 ( 46 unt; 0 def)
% Number of atoms : 569 ( 226 equ)
% Maximal formula atoms : 115 ( 6 avg)
% Number of connectives : 734 ( 251 ~; 176 |; 229 &)
% ( 5 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 19 con; 0-5 aty)
% Number of variables : 272 ( 14 sgn 219 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj,conjecture,
! [X12,X13] :
( ( ! [X5] :
( host(X13) = host(X5)
=> ~ setIn(X5,alive) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X6) != host(X5) )
& ! [X5,X6] :
( elem(m_Halt(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6,X7] :
( elem(m_Ack(X7,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X7)) )
& ! [X5,X6] :
( ( X6 != X5
& host(X6) = host(X5) )
=> ( ~ setIn(X5,alive)
| ~ setIn(X6,alive) ) )
& ! [X5,X6] :
( ( setIn(X6,alive)
& elem(m_Ack(X6,X5),queue(host(X6))) )
=> leq(host(X5),index(pendack,host(X6))) )
& ! [X5,X6] :
( ( setIn(X6,alive)
& index(status,host(X6)) = elec_1 )
=> ~ elem(m_Ack(X6,X5),queue(host(X6))) )
& ! [X5] :
( ( ( index(status,host(X5)) = elec_1
| index(status,host(X5)) = elec_2 )
& setIn(X5,alive) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6,X7] :
( ( setIn(X7,alive)
& elem(m_Down(X6),queue(host(X7)))
& host(X6) = host(X5) )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) )
& ! [X5,X6,X7] :
( ( setIn(X5,alive)
& setIn(X7,alive)
& host(X7) = host(X6)
& index(status,host(X5)) = elec_2
& index(status,host(X7)) = elec_2 )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6] :
( ( ~ leq(host(X5),host(X6))
& setIn(X5,alive)
& setIn(X6,alive)
& index(status,host(X5)) = elec_2
& index(status,host(X6)) = elec_2 )
=> leq(index(pendack,host(X6)),host(X5)) )
& ! [X5,X6] :
( ( ~ leq(host(X5),host(X6))
& setIn(X5,alive)
& setIn(X6,alive)
& index(status,host(X5)) = elec_2
& index(status,host(X6)) = elec_2 )
=> ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
& ! [X5,X6,X7] :
( ( ~ leq(index(pendack,host(X7)),host(X5))
& setIn(X7,alive)
& elem(m_Halt(X7),queue(host(X6)))
& index(status,host(X7)) = elec_2 )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) )
& ! [X5,X6,X7,X14] :
( ( ! [X15] :
( ( ~ leq(host(X14),X15)
& leq(s(zero),X15) )
=> ( setIn(X15,index(down,host(X14)))
| X15 = host(X7) ) )
& elem(m_Down(X7),queue(host(X14)))
& host(X14) = host(X6)
& host(X14) = nbr_proc
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5))) ) )
& ! [X5,X6,X7,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& elem(m_Ack(X14,X6),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X6) = index(pendack,host(X14))
& host(X7) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) ) )
=> ( queue(host(X13)) = q_nil
=> ( ( ! [X5] :
( host(X13) = host(X5)
=> leq(X5,X12) )
& ~ setIn(X12,pids)
& host(X13) = host(X12) )
=> ( host(X12) = s(zero)
=> ( ~ leq(nbr_proc,host(X12))
=> ! [X5] :
( host(X12) != host(X5)
=> ! [X6,X7,X16] :
( s(host(X12)) = host(X16)
=> ( host(X12) != host(X16)
=> ( ( ( setIn(X16,alive)
| X16 = X12 )
& leq(nbr_proc,s(index(pendack,host(X16))))
& elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12)))
& elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12)))
& index(status,host(X16)) = elec_2
& host(X6) = index(pendack,host(X16))
& host(X7) = s(index(pendack,host(X16))) )
=> ~ ( ( setIn(X5,alive)
| X5 = X12 )
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(axiom_47,axiom,
! [X5,X6,X4] :
( elem(X5,snoc(X4,X6))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
fof(axiom_11,axiom,
! [X5,X6,X7] : m_Ack(X5,X6) != m_Halt(X7),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_11) ).
fof(axiom_61,axiom,
! [X5,X6] :
( ( leq(X5,X6)
& leq(X6,X5) )
<=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
fof(axiom_04,axiom,
! [X3] : leq(host(X3),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
fof(axiom_63,axiom,
! [X5,X6] :
( leq(X5,X6)
<=> leq(s(X5),s(X6)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
fof(axiom_64,axiom,
! [X5,X6] :
( leq(X5,s(X6))
<=> ( X5 = s(X6)
| leq(X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
fof(axiom_59,axiom,
! [X5] : leq(X5,X5),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(axiom_17,axiom,
! [X5,X6] : m_Down(X5) != m_Halt(X6),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_17) ).
fof(axiom_58,axiom,
! [X5] : ~ leq(s(X5),X5),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
fof(axiom_60,axiom,
! [X5,X6] :
( leq(X5,X6)
| leq(X6,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
fof(axiom_02,axiom,
! [X3] : leq(s(zero),host(X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).
fof(axiom_62,axiom,
! [X5,X6,X7] :
( ( leq(X5,X6)
& leq(X6,X7) )
=> leq(X5,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_62) ).
fof(c_0_13,plain,
! [X13] :
( epred1_1(X13)
<=> ( ! [X5] :
( host(X13) = host(X5)
=> ~ setIn(X5,alive) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X6) != host(X5) )
& ! [X5,X6] :
( elem(m_Halt(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6,X7] :
( elem(m_Ack(X7,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X7)) )
& ! [X5,X6] :
( ( X6 != X5
& host(X6) = host(X5) )
=> ( ~ setIn(X5,alive)
| ~ setIn(X6,alive) ) )
& ! [X5,X6] :
( ( setIn(X6,alive)
& elem(m_Ack(X6,X5),queue(host(X6))) )
=> leq(host(X5),index(pendack,host(X6))) )
& ! [X5,X6] :
( ( setIn(X6,alive)
& index(status,host(X6)) = elec_1 )
=> ~ elem(m_Ack(X6,X5),queue(host(X6))) )
& ! [X5] :
( ( ( index(status,host(X5)) = elec_1
| index(status,host(X5)) = elec_2 )
& setIn(X5,alive) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6,X7] :
( ( setIn(X7,alive)
& elem(m_Down(X6),queue(host(X7)))
& host(X6) = host(X5) )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) )
& ! [X5,X6,X7] :
( ( setIn(X5,alive)
& setIn(X7,alive)
& host(X7) = host(X6)
& index(status,host(X5)) = elec_2
& index(status,host(X7)) = elec_2 )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6] :
( ( ~ leq(host(X5),host(X6))
& setIn(X5,alive)
& setIn(X6,alive)
& index(status,host(X5)) = elec_2
& index(status,host(X6)) = elec_2 )
=> leq(index(pendack,host(X6)),host(X5)) )
& ! [X5,X6] :
( ( ~ leq(host(X5),host(X6))
& setIn(X5,alive)
& setIn(X6,alive)
& index(status,host(X5)) = elec_2
& index(status,host(X6)) = elec_2 )
=> ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
& ! [X5,X6,X7] :
( ( ~ leq(index(pendack,host(X7)),host(X5))
& setIn(X7,alive)
& elem(m_Halt(X7),queue(host(X6)))
& index(status,host(X7)) = elec_2 )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) )
& ! [X5,X6,X7,X14] :
( ( ! [X15] :
( ( ~ leq(host(X14),X15)
& leq(s(zero),X15) )
=> ( setIn(X15,index(down,host(X14)))
| X15 = host(X7) ) )
& elem(m_Down(X7),queue(host(X14)))
& host(X14) = host(X6)
& host(X14) = nbr_proc
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5))) ) )
& ! [X5,X6,X7,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& elem(m_Ack(X14,X6),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X6) = index(pendack,host(X14))
& host(X7) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) ) ) ),
introduced(definition) ).
fof(c_0_14,negated_conjecture,
~ ! [X12,X13] :
( epred1_1(X13)
=> ( queue(host(X13)) = q_nil
=> ( ( ! [X5] :
( host(X13) = host(X5)
=> leq(X5,X12) )
& ~ setIn(X12,pids)
& host(X13) = host(X12) )
=> ( host(X12) = s(zero)
=> ( ~ leq(nbr_proc,host(X12))
=> ! [X5] :
( host(X12) != host(X5)
=> ! [X6,X7,X16] :
( s(host(X12)) = host(X16)
=> ( host(X12) != host(X16)
=> ( ( ( setIn(X16,alive)
| X16 = X12 )
& leq(nbr_proc,s(index(pendack,host(X16))))
& elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12)))
& elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12)))
& index(status,host(X16)) = elec_2
& host(X6) = index(pendack,host(X16))
& host(X7) = s(index(pendack,host(X16))) )
=> ~ ( ( setIn(X5,alive)
| X5 = X12 )
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_13]) ).
fof(c_0_15,negated_conjecture,
! [X148] :
( epred1_1(esk6_0)
& queue(host(esk6_0)) = q_nil
& ( host(esk6_0) != host(X148)
| leq(X148,esk5_0) )
& ~ setIn(esk5_0,pids)
& host(esk6_0) = host(esk5_0)
& host(esk5_0) = s(zero)
& ~ leq(nbr_proc,host(esk5_0))
& host(esk5_0) != host(esk7_0)
& s(host(esk5_0)) = host(esk10_0)
& host(esk5_0) != host(esk10_0)
& ( setIn(esk10_0,alive)
| esk10_0 = esk5_0 )
& leq(nbr_proc,s(index(pendack,host(esk10_0))))
& elem(m_Down(esk9_0),snoc(queue(host(esk10_0)),m_Halt(esk5_0)))
& elem(m_Ack(esk10_0,esk8_0),snoc(queue(host(esk10_0)),m_Halt(esk5_0)))
& index(status,host(esk10_0)) = elec_2
& host(esk8_0) = index(pendack,host(esk10_0))
& host(esk9_0) = s(index(pendack,host(esk10_0)))
& ( setIn(esk7_0,alive)
| esk7_0 = esk5_0 )
& index(ldr,host(esk7_0)) = host(esk7_0)
& index(status,host(esk7_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_14])])])])]) ).
cnf(c_0_16,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(esk10_0)))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_17,negated_conjecture,
host(esk8_0) = index(pendack,host(esk10_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
host(esk9_0) = s(index(pendack,host(esk10_0))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X13] :
( epred1_1(X13)
=> ( ! [X5] :
( host(X13) = host(X5)
=> ~ setIn(X5,alive) )
& ! [X5,X6] :
( elem(m_Ldr(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6] :
( elem(m_Down(X6),queue(host(X5)))
=> host(X6) != host(X5) )
& ! [X5,X6] :
( elem(m_Halt(X6),queue(host(X5)))
=> ~ leq(host(X5),host(X6)) )
& ! [X5,X6,X7] :
( elem(m_Ack(X7,X5),queue(host(X6)))
=> ~ leq(host(X5),host(X7)) )
& ! [X5,X6] :
( ( X6 != X5
& host(X6) = host(X5) )
=> ( ~ setIn(X5,alive)
| ~ setIn(X6,alive) ) )
& ! [X5,X6] :
( ( setIn(X6,alive)
& elem(m_Ack(X6,X5),queue(host(X6))) )
=> leq(host(X5),index(pendack,host(X6))) )
& ! [X5,X6] :
( ( setIn(X6,alive)
& index(status,host(X6)) = elec_1 )
=> ~ elem(m_Ack(X6,X5),queue(host(X6))) )
& ! [X5] :
( ( ( index(status,host(X5)) = elec_1
| index(status,host(X5)) = elec_2 )
& setIn(X5,alive) )
=> index(elid,host(X5)) = X5 )
& ! [X5,X6,X7] :
( ( setIn(X7,alive)
& elem(m_Down(X6),queue(host(X7)))
& host(X6) = host(X5) )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) )
& ! [X5,X6,X7] :
( ( setIn(X5,alive)
& setIn(X7,alive)
& host(X7) = host(X6)
& index(status,host(X5)) = elec_2
& index(status,host(X7)) = elec_2 )
=> ~ elem(m_Ack(X5,X6),queue(host(X5))) )
& ! [X5,X6] :
( ( ~ leq(host(X5),host(X6))
& setIn(X5,alive)
& setIn(X6,alive)
& index(status,host(X5)) = elec_2
& index(status,host(X6)) = elec_2 )
=> leq(index(pendack,host(X6)),host(X5)) )
& ! [X5,X6] :
( ( ~ leq(host(X5),host(X6))
& setIn(X5,alive)
& setIn(X6,alive)
& index(status,host(X5)) = elec_2
& index(status,host(X6)) = elec_2 )
=> ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
& ! [X5,X6,X7] :
( ( ~ leq(index(pendack,host(X7)),host(X5))
& setIn(X7,alive)
& elem(m_Halt(X7),queue(host(X6)))
& index(status,host(X7)) = elec_2 )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) )
& ! [X5,X6,X7,X14] :
( ( ! [X15] :
( ( ~ leq(host(X14),X15)
& leq(s(zero),X15) )
=> ( setIn(X15,index(down,host(X14)))
| X15 = host(X7) ) )
& elem(m_Down(X7),queue(host(X14)))
& host(X14) = host(X6)
& host(X14) = nbr_proc
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X5,alive)
& elem(m_Down(X6),queue(host(X5))) ) )
& ! [X5,X6,X7,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X7),queue(host(X14)))
& elem(m_Ack(X14,X6),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X6) = index(pendack,host(X14))
& host(X7) = s(index(pendack,host(X14))) )
=> ~ ( setIn(X5,alive)
& index(ldr,host(X5)) = host(X5)
& index(status,host(X5)) = norm ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X100,X101,X102] :
( ( ~ elem(X100,snoc(X102,X101))
| X100 = X101
| elem(X100,X102) )
& ( X100 != X101
| elem(X100,snoc(X102,X101)) )
& ( ~ elem(X100,X102)
| elem(X100,snoc(X102,X101)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])]) ).
fof(c_0_21,plain,
! [X23,X24,X25] : m_Ack(X23,X24) != m_Halt(X25),
inference(variable_rename,[status(thm)],[axiom_11]) ).
fof(c_0_22,plain,
! [X136,X137] :
( ( ~ leq(X136,X137)
| ~ leq(X137,X136)
| X136 = X137 )
& ( leq(X136,X137)
| X136 != X137 )
& ( leq(X137,X136)
| X136 != X137 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
cnf(c_0_23,negated_conjecture,
leq(nbr_proc,s(host(esk8_0))),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
s(host(esk8_0)) = host(esk9_0),
inference(rw,[status(thm)],[c_0_18,c_0_17]) ).
fof(c_0_25,plain,
! [X22] : leq(host(X22),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
fof(c_0_26,plain,
! [X141,X142] :
( ( ~ leq(X141,X142)
| leq(s(X141),s(X142)) )
& ( ~ leq(s(X141),s(X142))
| leq(X141,X142) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_63])]) ).
fof(c_0_27,plain,
! [X143,X144] :
( ( ~ leq(X143,s(X144))
| X143 = s(X144)
| leq(X143,X144) )
& ( X143 != s(X144)
| leq(X143,s(X144)) )
& ( ~ leq(X143,X144)
| leq(X143,s(X144)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).
fof(c_0_28,plain,
! [X153,X154,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,X189,X190,X191,X192] :
( ( host(X153) != host(X154)
| ~ setIn(X154,alive)
| ~ epred1_1(X153) )
& ( ~ elem(m_Ldr(X156),queue(host(X155)))
| ~ leq(host(X155),host(X156))
| ~ epred1_1(X153) )
& ( ~ elem(m_Down(X158),queue(host(X157)))
| host(X158) != host(X157)
| ~ epred1_1(X153) )
& ( ~ elem(m_Halt(X160),queue(host(X159)))
| ~ leq(host(X159),host(X160))
| ~ epred1_1(X153) )
& ( ~ elem(m_Ack(X163,X161),queue(host(X162)))
| ~ leq(host(X161),host(X163))
| ~ epred1_1(X153) )
& ( X165 = X164
| host(X165) != host(X164)
| ~ setIn(X164,alive)
| ~ setIn(X165,alive)
| ~ epred1_1(X153) )
& ( ~ setIn(X167,alive)
| ~ elem(m_Ack(X167,X166),queue(host(X167)))
| leq(host(X166),index(pendack,host(X167)))
| ~ epred1_1(X153) )
& ( ~ setIn(X169,alive)
| index(status,host(X169)) != elec_1
| ~ elem(m_Ack(X169,X168),queue(host(X169)))
| ~ epred1_1(X153) )
& ( index(status,host(X170)) != elec_1
| ~ setIn(X170,alive)
| index(elid,host(X170)) = X170
| ~ epred1_1(X153) )
& ( index(status,host(X170)) != elec_2
| ~ setIn(X170,alive)
| index(elid,host(X170)) = X170
| ~ epred1_1(X153) )
& ( ~ setIn(X173,alive)
| ~ elem(m_Down(X172),queue(host(X173)))
| host(X172) != host(X171)
| ~ setIn(X171,alive)
| index(ldr,host(X171)) != host(X171)
| index(status,host(X171)) != norm
| ~ epred1_1(X153) )
& ( ~ setIn(X174,alive)
| ~ setIn(X176,alive)
| host(X176) != host(X175)
| index(status,host(X174)) != elec_2
| index(status,host(X176)) != elec_2
| ~ elem(m_Ack(X174,X175),queue(host(X174)))
| ~ epred1_1(X153) )
& ( leq(host(X177),host(X178))
| ~ setIn(X177,alive)
| ~ setIn(X178,alive)
| index(status,host(X177)) != elec_2
| index(status,host(X178)) != elec_2
| leq(index(pendack,host(X178)),host(X177))
| ~ epred1_1(X153) )
& ( leq(host(X179),host(X180))
| ~ setIn(X179,alive)
| ~ setIn(X180,alive)
| index(status,host(X179)) != elec_2
| index(status,host(X180)) != elec_2
| ~ leq(index(pendack,host(X179)),index(pendack,host(X180)))
| ~ epred1_1(X153) )
& ( leq(index(pendack,host(X183)),host(X181))
| ~ setIn(X183,alive)
| ~ elem(m_Halt(X183),queue(host(X182)))
| index(status,host(X183)) != elec_2
| ~ setIn(X181,alive)
| index(ldr,host(X181)) != host(X181)
| index(status,host(X181)) != norm
| ~ epred1_1(X153) )
& ( ~ leq(host(X187),esk11_5(X153,X184,X185,X186,X187))
| ~ elem(m_Down(X186),queue(host(X187)))
| host(X187) != host(X185)
| host(X187) != nbr_proc
| index(status,host(X187)) != elec_1
| ~ setIn(X184,alive)
| ~ elem(m_Down(X185),queue(host(X184)))
| ~ epred1_1(X153) )
& ( leq(s(zero),esk11_5(X153,X184,X185,X186,X187))
| ~ elem(m_Down(X186),queue(host(X187)))
| host(X187) != host(X185)
| host(X187) != nbr_proc
| index(status,host(X187)) != elec_1
| ~ setIn(X184,alive)
| ~ elem(m_Down(X185),queue(host(X184)))
| ~ epred1_1(X153) )
& ( ~ setIn(esk11_5(X153,X184,X185,X186,X187),index(down,host(X187)))
| ~ elem(m_Down(X186),queue(host(X187)))
| host(X187) != host(X185)
| host(X187) != nbr_proc
| index(status,host(X187)) != elec_1
| ~ setIn(X184,alive)
| ~ elem(m_Down(X185),queue(host(X184)))
| ~ epred1_1(X153) )
& ( esk11_5(X153,X184,X185,X186,X187) != host(X186)
| ~ elem(m_Down(X186),queue(host(X187)))
| host(X187) != host(X185)
| host(X187) != nbr_proc
| index(status,host(X187)) != elec_1
| ~ setIn(X184,alive)
| ~ elem(m_Down(X185),queue(host(X184)))
| ~ epred1_1(X153) )
& ( ~ setIn(X191,alive)
| ~ elem(m_Down(X190),queue(host(X191)))
| ~ elem(m_Ack(X191,X189),queue(host(X191)))
| ~ leq(nbr_proc,s(index(pendack,host(X191))))
| index(status,host(X191)) != elec_2
| host(X189) != index(pendack,host(X191))
| host(X190) != s(index(pendack,host(X191)))
| ~ setIn(X192,alive)
| index(ldr,host(X192)) != host(X192)
| index(status,host(X192)) != norm
| ~ epred1_1(X153) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_19])])])])])])]) ).
cnf(c_0_29,plain,
( X1 = X3
| elem(X1,X2)
| ~ elem(X1,snoc(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
elem(m_Ack(esk10_0,esk8_0),snoc(queue(host(esk10_0)),m_Halt(esk5_0))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_31,plain,
m_Ack(X1,X2) != m_Halt(X3),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
leq(nbr_proc,host(esk9_0)),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_34,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_35,plain,
! [X133] : leq(X133,X133),
inference(variable_rename,[status(thm)],[axiom_59]) ).
fof(c_0_36,plain,
! [X40,X41] : m_Down(X40) != m_Halt(X41),
inference(variable_rename,[status(thm)],[axiom_17]) ).
fof(c_0_37,plain,
! [X132] : ~ leq(s(X132),X132),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_58])]) ).
cnf(c_0_38,plain,
( leq(X1,X2)
| ~ leq(s(X1),s(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
( leq(X1,s(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(X1)))
| ~ elem(m_Ack(X1,X3),queue(host(X1)))
| ~ leq(nbr_proc,s(index(pendack,host(X1))))
| index(status,host(X1)) != elec_2
| host(X3) != index(pendack,host(X1))
| host(X2) != s(index(pendack,host(X1)))
| ~ setIn(X4,alive)
| index(ldr,host(X4)) != host(X4)
| index(status,host(X4)) != norm
| ~ epred1_1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
elem(m_Ack(esk10_0,esk8_0),queue(host(esk10_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_42,negated_conjecture,
host(esk9_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_43,negated_conjecture,
index(status,host(esk10_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_44,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
elem(m_Down(esk9_0),snoc(queue(host(esk10_0)),m_Halt(esk5_0))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_46,plain,
m_Down(X1) != m_Halt(X2),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
~ leq(s(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_48,plain,
! [X134,X135] :
( leq(X134,X135)
| leq(X135,X134) ),
inference(variable_rename,[status(thm)],[axiom_60]) ).
cnf(c_0_49,plain,
( leq(X1,X2)
| ~ leq(s(X1),X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_50,plain,
( leq(X1,s(X2))
| X1 != s(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_51,plain,
! [X21] : leq(s(zero),host(X21)),
inference(variable_rename,[status(thm)],[axiom_02]) ).
cnf(c_0_52,plain,
( index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| host(X2) != nbr_proc
| ~ epred1_1(X3)
| ~ setIn(esk10_0,alive)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(esk10_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_17]),c_0_24]),c_0_42]),c_0_17]),c_0_43]),c_0_17]),c_0_24]),c_0_42]),c_0_44])]) ).
cnf(c_0_53,negated_conjecture,
elem(m_Down(esk9_0),queue(host(esk10_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_45]),c_0_46]) ).
cnf(c_0_54,plain,
~ leq(s(s(X1)),X1),
inference(spm,[status(thm)],[c_0_47,c_0_39]) ).
cnf(c_0_55,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,plain,
( leq(X1,s(X2))
| s(X1) != s(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_57,plain,
! [X138,X139,X140] :
( ~ leq(X138,X139)
| ~ leq(X139,X140)
| leq(X138,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_62])]) ).
cnf(c_0_58,plain,
leq(s(zero),host(X1)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,negated_conjecture,
host(esk5_0) = s(zero),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_60,negated_conjecture,
( index(ldr,host(X1)) != host(X1)
| index(status,host(X1)) != norm
| ~ epred1_1(X2)
| ~ setIn(esk10_0,alive)
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_42])]) ).
cnf(c_0_61,negated_conjecture,
( setIn(esk7_0,alive)
| esk7_0 = esk5_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_62,negated_conjecture,
index(ldr,host(esk7_0)) = host(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_63,negated_conjecture,
index(status,host(esk7_0)) = norm,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_64,plain,
( s(X1) = X2
| ~ leq(s(X1),X2)
| ~ leq(X2,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_65,negated_conjecture,
s(host(esk5_0)) = host(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_66,plain,
leq(X1,s(s(X1))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_67,plain,
s(s(s(s(X1)))) != s(X1),
inference(spm,[status(thm)],[c_0_54,c_0_56]) ).
cnf(c_0_68,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_69,plain,
leq(host(esk5_0),host(X1)),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
( esk7_0 = esk5_0
| ~ epred1_1(X1)
| ~ setIn(esk10_0,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_71,negated_conjecture,
epred1_1(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_72,negated_conjecture,
( host(esk10_0) = X1
| ~ leq(host(esk10_0),X1)
| ~ leq(X1,host(esk5_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_73,plain,
leq(X1,s(s(s(X1)))),
inference(spm,[status(thm)],[c_0_49,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
s(s(s(host(esk10_0)))) != host(esk10_0),
inference(spm,[status(thm)],[c_0_67,c_0_65]) ).
cnf(c_0_75,plain,
( leq(X1,host(X2))
| ~ leq(X1,host(esk5_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( leq(X1,host(esk5_0))
| X1 != host(esk5_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_59]) ).
cnf(c_0_77,negated_conjecture,
( esk7_0 = esk5_0
| ~ setIn(esk10_0,alive) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( setIn(esk10_0,alive)
| esk10_0 = esk5_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_79,negated_conjecture,
~ leq(s(s(s(host(esk10_0)))),host(esk5_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( leq(X1,host(X2))
| X1 != host(esk5_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
host(esk5_0) != host(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_82,negated_conjecture,
( esk10_0 = esk5_0
| esk7_0 = esk5_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
s(s(s(host(esk10_0)))) != host(esk5_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
esk10_0 = esk5_0,
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_65]),c_0_84]),c_0_65]),c_0_84]),c_0_65]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV461+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 13:41:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.94/2.84 # ENIGMATIC: Solved by autoschedule:
% 11.94/2.84 # No SInE strategy applied
% 11.94/2.84 # Trying AutoSched0 for 150 seconds
% 11.94/2.84 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 11.94/2.84 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.94/2.84 #
% 11.94/2.84 # Preprocessing time : 0.031 s
% 11.94/2.84
% 11.94/2.84 # Proof found!
% 11.94/2.84 # SZS status Theorem
% 11.94/2.84 # SZS output start CNFRefutation
% See solution above
% 11.94/2.84 # Training examples: 0 positive, 0 negative
% 11.94/2.84
% 11.94/2.84 # -------------------------------------------------
% 11.94/2.84 # User time : 0.514 s
% 11.94/2.84 # System time : 0.017 s
% 11.94/2.84 # Total time : 0.531 s
% 11.94/2.84 # Maximum resident set size: 7124 pages
% 11.94/2.84
%------------------------------------------------------------------------------