TSTP Solution File: SWV463+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:41:23 EDT 2023
% Result : Theorem 4.28s 4.33s
% Output : CNFRefutation 4.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 67
% Syntax : Number of formulae : 163 ( 47 unt; 54 typ; 0 def)
% Number of atoms : 632 ( 229 equ)
% Maximal formula atoms : 114 ( 5 avg)
% Number of connectives : 784 ( 261 ~; 218 |; 231 &)
% ( 6 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 72 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 28 >; 19 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 48 ( 48 usr; 26 con; 0-8 aty)
% Number of variables : 374 ( 78 sgn; 228 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
m_Ack: ( $i * $i ) > $i ).
tff(decl_23,type,
host: $i > $i ).
tff(decl_24,type,
queue: $i > $i ).
tff(decl_25,type,
elem: ( $i * $i ) > $o ).
tff(decl_26,type,
pids: $i ).
tff(decl_27,type,
setIn: ( $i * $i ) > $o ).
tff(decl_28,type,
s: $i > $i ).
tff(decl_29,type,
zero: $i ).
tff(decl_30,type,
leq: ( $i * $i ) > $o ).
tff(decl_31,type,
nbr_proc: $i ).
tff(decl_32,type,
elec_1: $i ).
tff(decl_33,type,
elec_2: $i ).
tff(decl_34,type,
wait: $i ).
tff(decl_35,type,
norm: $i ).
tff(decl_36,type,
m_Halt: $i > $i ).
tff(decl_37,type,
m_Down: $i > $i ).
tff(decl_38,type,
m_NotNorm: $i > $i ).
tff(decl_39,type,
m_Ldr: $i > $i ).
tff(decl_40,type,
m_NormQ: $i > $i ).
tff(decl_41,type,
nil: $i ).
tff(decl_42,type,
alive: $i ).
tff(decl_43,type,
cons: ( $i * $i ) > $i ).
tff(decl_44,type,
head: $i > $i ).
tff(decl_45,type,
tail: $i > $i ).
tff(decl_46,type,
snoc: ( $i * $i ) > $i ).
tff(decl_47,type,
last: $i > $i ).
tff(decl_48,type,
init: $i > $i ).
tff(decl_49,type,
q_nil: $i ).
tff(decl_50,type,
pidElem: $i > $o ).
tff(decl_51,type,
pidMsg: $i > $i ).
tff(decl_52,type,
ordered: $i > $o ).
tff(decl_53,type,
setEmpty: $i ).
tff(decl_54,type,
pendack: $i ).
tff(decl_55,type,
index: ( $i * $i ) > $i ).
tff(decl_56,type,
status: $i ).
tff(decl_57,type,
elid: $i ).
tff(decl_58,type,
ldr: $i ).
tff(decl_59,type,
down: $i ).
tff(decl_60,type,
acks: $i ).
tff(decl_61,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_62,type,
esk1_1: $i > $i ).
tff(decl_63,type,
esk2_1: $i > $i ).
tff(decl_64,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk5_0: $i ).
tff(decl_67,type,
esk6_0: $i ).
tff(decl_68,type,
esk7_0: $i ).
tff(decl_69,type,
esk8_0: $i ).
tff(decl_70,type,
esk9_0: $i ).
tff(decl_71,type,
esk10_0: $i ).
tff(decl_72,type,
esk11_0: $i ).
tff(decl_73,type,
esk12_0: $i ).
tff(decl_74,type,
esk13_0: $i ).
tff(decl_75,type,
esk14_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
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] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14))) )
=> leq(host(X7),index(pendack,host(X14))) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X14,X7),queue(host(X14))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(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,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = nbr_proc
& host(X14) = host(X16)
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X16),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Ack(X14,X16),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X16) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( 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(X7) = host(X20)
=> ( host(X5) != host(X20)
=> ( ( setIn(X20,alive)
& leq(nbr_proc,s(index(pendack,host(X20))))
& elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
& elem(m_Ack(X20,X18),snoc(queue(host(X20)),m_Ldr(X5)))
& index(status,host(X20)) = elec_2
& host(X18) = index(pendack,host(X20))
& host(X19) = s(index(pendack,host(X20))) )
=> ~ ( setIn(X17,alive)
& index(ldr,host(X17)) = host(X17)
& index(status,host(X17)) = norm ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
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_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(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_60,axiom,
! [X5,X6] :
( leq(X5,X6)
| leq(X6,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
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_58,axiom,
! [X5] : ~ leq(s(X5),X5),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
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_14,axiom,
! [X5,X6,X7] : m_Ack(X5,X6) != m_Ldr(X7),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_14) ).
fof(axiom_46,axiom,
! [X5,X6,X4] :
( elem(X5,cons(X6,X4))
<=> ( X5 = X6
| elem(X5,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
fof(axiom_59,axiom,
! [X5] : leq(X5,X5),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
fof(c_0_12,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] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14))) )
=> leq(host(X7),index(pendack,host(X14))) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X14,X7),queue(host(X14))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(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,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = nbr_proc
& host(X14) = host(X16)
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X16),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Ack(X14,X16),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X16) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( 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_13,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(X7) = host(X20)
=> ( host(X5) != host(X20)
=> ( ( setIn(X20,alive)
& leq(nbr_proc,s(index(pendack,host(X20))))
& elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
& elem(m_Ack(X20,X18),snoc(queue(host(X20)),m_Ldr(X5)))
& index(status,host(X20)) = elec_2
& host(X18) = index(pendack,host(X20))
& host(X19) = s(index(pendack,host(X20))) )
=> ~ ( setIn(X17,alive)
& index(ldr,host(X17)) = host(X17)
& index(status,host(X17)) = norm ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_12]) ).
fof(c_0_14,negated_conjecture,
( 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(esk9_0) = host(esk13_0)
& host(esk7_0) != host(esk13_0)
& setIn(esk13_0,alive)
& leq(nbr_proc,s(index(pendack,host(esk13_0))))
& elem(m_Down(esk12_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0)))
& elem(m_Ack(esk13_0,esk11_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0)))
& index(status,host(esk13_0)) = elec_2
& host(esk11_0) = index(pendack,host(esk13_0))
& host(esk12_0) = s(index(pendack,host(esk13_0)))
& setIn(esk10_0,alive)
& index(ldr,host(esk10_0)) = host(esk10_0)
& index(status,host(esk10_0)) = norm ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_15,negated_conjecture,
leq(nbr_proc,s(index(pendack,host(esk13_0)))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_16,negated_conjecture,
host(esk11_0) = index(pendack,host(esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
host(esk12_0) = s(index(pendack,host(esk13_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X140,X141] :
( ( ~ leq(X140,X141)
| ~ leq(X141,X140)
| X140 = X141 )
& ( leq(X140,X141)
| X140 != X141 )
& ( leq(X141,X140)
| X140 != X141 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
cnf(c_0_19,negated_conjecture,
leq(nbr_proc,s(host(esk11_0))),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
s(host(esk11_0)) = host(esk12_0),
inference(rw,[status(thm)],[c_0_17,c_0_16]) ).
fof(c_0_21,plain,
! [X26] : leq(host(X26),nbr_proc),
inference(variable_rename,[status(thm)],[axiom_04]) ).
fof(c_0_22,plain,
! [X142,X143,X144] :
( ~ leq(X142,X143)
| ~ leq(X143,X144)
| leq(X142,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_62])]) ).
fof(c_0_23,plain,
! [X147,X148] :
( ( ~ leq(X147,s(X148))
| X147 = s(X148)
| leq(X147,X148) )
& ( X147 != s(X148)
| leq(X147,s(X148)) )
& ( ~ leq(X147,X148)
| leq(X147,s(X148)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).
fof(c_0_24,plain,
! [X138,X139] :
( leq(X138,X139)
| leq(X139,X138) ),
inference(variable_rename,[status(thm)],[axiom_60]) ).
cnf(c_0_25,plain,
( X1 = X2
| ~ leq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
leq(nbr_proc,host(esk12_0)),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
leq(host(X1),nbr_proc),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( X1 = s(X2)
| leq(X1,X2)
| ~ leq(X1,s(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( leq(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,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] :
( elem(m_Halt(X14),queue(host(X7)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X15,X14] :
( elem(m_Ack(X14,X7),queue(host(X15)))
=> ~ leq(host(X7),host(X14)) )
& ! [X7,X14] :
( ( X14 != X7
& host(X14) = host(X7) )
=> ( ~ setIn(X7,alive)
| ~ setIn(X14,alive) ) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& elem(m_Ack(X14,X7),queue(host(X14))) )
=> leq(host(X7),index(pendack,host(X14))) )
& ! [X7,X14] :
( ( setIn(X14,alive)
& index(status,host(X14)) = elec_1 )
=> ~ elem(m_Ack(X14,X7),queue(host(X14))) )
& ! [X7] :
( ( ( index(status,host(X7)) = elec_1
| index(status,host(X7)) = elec_2 )
& setIn(X7,alive) )
=> index(elid,host(X7)) = X7 )
& ! [X7,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& host(X15) = host(X7) )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> leq(index(pendack,host(X14)),host(X7)) )
& ! [X7,X15,X14] :
( ( setIn(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,X14] :
( ( ~ leq(host(X7),host(X14))
& setIn(X7,alive)
& setIn(X14,alive)
& index(status,host(X7)) = elec_2
& index(status,host(X14)) = elec_2 )
=> ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
& ! [X7,X15,X14] :
( ( ~ leq(index(pendack,host(X14)),host(X7))
& setIn(X14,alive)
& elem(m_Halt(X14),queue(host(X15)))
& index(status,host(X14)) = elec_2 )
=> ~ ( setIn(X7,alive)
& index(ldr,host(X7)) = host(X7)
& index(status,host(X7)) = norm ) )
& ! [X7,X16,X15,X14] :
( ( ! [X17] :
( ( ~ leq(host(X14),X17)
& leq(s(zero),X17) )
=> ( setIn(X17,index(down,host(X14)))
| X17 = host(X15) ) )
& elem(m_Down(X15),queue(host(X14)))
& host(X14) = nbr_proc
& host(X14) = host(X16)
& index(status,host(X14)) = elec_1 )
=> ~ ( setIn(X7,alive)
& elem(m_Down(X16),queue(host(X7))) ) )
& ! [X7,X16,X15,X14] :
( ( setIn(X14,alive)
& elem(m_Down(X15),queue(host(X14)))
& elem(m_Ack(X14,X16),queue(host(X14)))
& leq(nbr_proc,s(index(pendack,host(X14))))
& index(status,host(X14)) = elec_2
& host(X16) = index(pendack,host(X14))
& host(X15) = s(index(pendack,host(X14))) )
=> ~ ( 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_12]) ).
fof(c_0_32,plain,
! [X145,X146] :
( ( ~ leq(X145,X146)
| leq(s(X145),s(X146)) )
& ( ~ leq(s(X145),s(X146))
| leq(X145,X146) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_63])]) ).
cnf(c_0_33,negated_conjecture,
host(esk12_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_34,plain,
( leq(X1,nbr_proc)
| ~ leq(X1,host(X2)) ),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_35,plain,
( X1 = s(X2)
| leq(s(X2),X1)
| leq(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
leq(nbr_proc,index(pendack,host(esk7_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,negated_conjecture,
host(esk8_0) = index(pendack,host(esk7_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_38,plain,
! [X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X197,X198,X199,X200] :
( ( ~ elem(m_Ldr(X164),queue(host(X163)))
| ~ leq(host(X163),host(X164))
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ elem(m_Down(X166),queue(host(X165)))
| host(X166) != host(X165)
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ elem(m_Halt(X168),queue(host(X167)))
| ~ leq(host(X167),host(X168))
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ elem(m_Ack(X171,X169),queue(host(X170)))
| ~ leq(host(X169),host(X171))
| ~ epred1_4(X162,X161,X160,X159) )
& ( X173 = X172
| host(X173) != host(X172)
| ~ setIn(X172,alive)
| ~ setIn(X173,alive)
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ setIn(X175,alive)
| ~ elem(m_Ack(X175,X174),queue(host(X175)))
| leq(host(X174),index(pendack,host(X175)))
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ setIn(X177,alive)
| index(status,host(X177)) != elec_1
| ~ elem(m_Ack(X177,X176),queue(host(X177)))
| ~ epred1_4(X162,X161,X160,X159) )
& ( index(status,host(X178)) != elec_1
| ~ setIn(X178,alive)
| index(elid,host(X178)) = X178
| ~ epred1_4(X162,X161,X160,X159) )
& ( index(status,host(X178)) != elec_2
| ~ setIn(X178,alive)
| index(elid,host(X178)) = X178
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ setIn(X181,alive)
| ~ elem(m_Down(X180),queue(host(X181)))
| host(X180) != host(X179)
| ~ setIn(X179,alive)
| index(ldr,host(X179)) != host(X179)
| index(status,host(X179)) != norm
| ~ epred1_4(X162,X161,X160,X159) )
& ( leq(host(X182),host(X183))
| ~ setIn(X182,alive)
| ~ setIn(X183,alive)
| index(status,host(X182)) != elec_2
| index(status,host(X183)) != elec_2
| leq(index(pendack,host(X183)),host(X182))
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ setIn(X184,alive)
| ~ setIn(X186,alive)
| host(X186) != host(X185)
| index(status,host(X184)) != elec_2
| index(status,host(X186)) != elec_2
| ~ elem(m_Ack(X184,X185),queue(host(X184)))
| ~ epred1_4(X162,X161,X160,X159) )
& ( leq(host(X187),host(X188))
| ~ setIn(X187,alive)
| ~ setIn(X188,alive)
| index(status,host(X187)) != elec_2
| index(status,host(X188)) != elec_2
| ~ leq(index(pendack,host(X187)),index(pendack,host(X188)))
| ~ epred1_4(X162,X161,X160,X159) )
& ( leq(index(pendack,host(X191)),host(X189))
| ~ setIn(X191,alive)
| ~ elem(m_Halt(X191),queue(host(X190)))
| index(status,host(X191)) != elec_2
| ~ setIn(X189,alive)
| index(ldr,host(X189)) != host(X189)
| index(status,host(X189)) != norm
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ leq(host(X195),esk14_8(X159,X160,X161,X162,X192,X193,X194,X195))
| ~ elem(m_Down(X194),queue(host(X195)))
| host(X195) != nbr_proc
| host(X195) != host(X193)
| index(status,host(X195)) != elec_1
| ~ setIn(X192,alive)
| ~ elem(m_Down(X193),queue(host(X192)))
| ~ epred1_4(X162,X161,X160,X159) )
& ( leq(s(zero),esk14_8(X159,X160,X161,X162,X192,X193,X194,X195))
| ~ elem(m_Down(X194),queue(host(X195)))
| host(X195) != nbr_proc
| host(X195) != host(X193)
| index(status,host(X195)) != elec_1
| ~ setIn(X192,alive)
| ~ elem(m_Down(X193),queue(host(X192)))
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ setIn(esk14_8(X159,X160,X161,X162,X192,X193,X194,X195),index(down,host(X195)))
| ~ elem(m_Down(X194),queue(host(X195)))
| host(X195) != nbr_proc
| host(X195) != host(X193)
| index(status,host(X195)) != elec_1
| ~ setIn(X192,alive)
| ~ elem(m_Down(X193),queue(host(X192)))
| ~ epred1_4(X162,X161,X160,X159) )
& ( esk14_8(X159,X160,X161,X162,X192,X193,X194,X195) != host(X194)
| ~ elem(m_Down(X194),queue(host(X195)))
| host(X195) != nbr_proc
| host(X195) != host(X193)
| index(status,host(X195)) != elec_1
| ~ setIn(X192,alive)
| ~ elem(m_Down(X193),queue(host(X192)))
| ~ epred1_4(X162,X161,X160,X159) )
& ( ~ setIn(X199,alive)
| ~ elem(m_Down(X198),queue(host(X199)))
| ~ elem(m_Ack(X199,X197),queue(host(X199)))
| ~ leq(nbr_proc,s(index(pendack,host(X199))))
| index(status,host(X199)) != elec_2
| host(X197) != index(pendack,host(X199))
| host(X198) != s(index(pendack,host(X199)))
| ~ setIn(X200,alive)
| index(ldr,host(X200)) != host(X200)
| index(status,host(X200)) != norm
| ~ epred1_4(X162,X161,X160,X159) )
& ( queue(host(X160)) = cons(m_Ack(X159,X161),X162)
| ~ epred1_4(X162,X161,X160,X159) ) ),
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)],[c_0_31])])])])])]) ).
cnf(c_0_39,plain,
( leq(X1,X2)
| ~ leq(s(X1),s(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
s(host(esk11_0)) = nbr_proc,
inference(rw,[status(thm)],[c_0_20,c_0_33]) ).
cnf(c_0_41,plain,
( host(X1) = s(X2)
| leq(s(X2),nbr_proc)
| leq(host(X1),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
leq(nbr_proc,host(esk8_0)),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,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_38]) ).
cnf(c_0_44,negated_conjecture,
setIn(esk7_0,alive),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_45,negated_conjecture,
index(elid,host(esk7_0)) = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,negated_conjecture,
index(status,host(esk7_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,negated_conjecture,
( leq(X1,host(esk11_0))
| ~ leq(s(X1),nbr_proc) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
( leq(s(X1),nbr_proc)
| leq(host(X2),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( X1 = nbr_proc
| leq(X1,host(esk11_0))
| ~ leq(X1,nbr_proc) ),
inference(spm,[status(thm)],[c_0_29,c_0_40]) ).
cnf(c_0_50,plain,
( leq(host(X1),host(X2))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2
| ~ leq(index(pendack,host(X1)),index(pendack,host(X2)))
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,negated_conjecture,
host(esk8_0) = nbr_proc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_42]),c_0_27])]) ).
cnf(c_0_52,negated_conjecture,
( esk6_0 = esk7_0
| ~ epred1_4(X1,X2,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_53,negated_conjecture,
epred1_4(esk5_0,esk8_0,esk7_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_54,negated_conjecture,
( leq(X1,host(esk11_0))
| leq(host(X2),X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( leq(s(X1),nbr_proc)
| leq(X2,X1)
| ~ leq(X2,host(X3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_48]) ).
cnf(c_0_56,plain,
( leq(s(X1),s(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_57,negated_conjecture,
( host(X1) = nbr_proc
| leq(host(X1),host(esk11_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_27]) ).
fof(c_0_58,plain,
! [X5] : ~ leq(s(X5),X5),
inference(fof_simplification,[status(thm)],[axiom_58]) ).
cnf(c_0_59,negated_conjecture,
( leq(host(X1),host(esk7_0))
| index(status,host(X1)) != elec_2
| ~ epred1_4(X2,X3,X4,X5)
| ~ leq(index(pendack,host(X1)),nbr_proc)
| ~ setIn(X1,alive) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_46]),c_0_37])]),c_0_51]) ).
cnf(c_0_60,negated_conjecture,
setIn(esk13_0,alive),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_61,negated_conjecture,
index(status,host(esk13_0)) = elec_2,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_62,negated_conjecture,
esk6_0 = esk7_0,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
( leq(X1,host(esk11_0))
| leq(X2,X1)
| ~ leq(X2,host(X3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_54]) ).
cnf(c_0_64,negated_conjecture,
( leq(s(X1),nbr_proc)
| leq(X2,X1)
| ~ leq(X2,nbr_proc) ),
inference(spm,[status(thm)],[c_0_55,c_0_33]) ).
cnf(c_0_65,negated_conjecture,
( host(X1) = nbr_proc
| leq(s(host(X1)),nbr_proc) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_20]),c_0_33]) ).
fof(c_0_66,plain,
! [X136] : ~ leq(s(X136),X136),
inference(variable_rename,[status(thm)],[c_0_58]) ).
cnf(c_0_67,negated_conjecture,
( leq(host(esk13_0),host(esk7_0))
| ~ epred1_4(X1,X2,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_16]),c_0_27])]) ).
cnf(c_0_68,negated_conjecture,
epred1_4(esk5_0,esk8_0,esk7_0,esk7_0),
inference(rw,[status(thm)],[c_0_53,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
( leq(X1,host(esk11_0))
| leq(X2,X1)
| ~ leq(X2,nbr_proc) ),
inference(spm,[status(thm)],[c_0_63,c_0_33]) ).
cnf(c_0_70,negated_conjecture,
( host(X1) = nbr_proc
| leq(s(host(X1)),X2)
| leq(s(X2),nbr_proc) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
~ leq(s(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,plain,
( leq(host(X1),host(X2))
| leq(index(pendack,host(X2)),host(X1))
| ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2
| ~ epred1_4(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_73,negated_conjecture,
leq(host(esk13_0),host(esk7_0)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
host(esk7_0) != host(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_75,negated_conjecture,
( host(X1) = nbr_proc
| leq(s(host(X1)),X2)
| leq(X2,host(esk11_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( leq(host(X1),host(esk13_0))
| leq(host(esk11_0),host(X1))
| index(status,host(X1)) != elec_2
| ~ epred1_4(X2,X3,X4,X5)
| ~ setIn(X1,alive) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_60]),c_0_16]),c_0_61])]) ).
cnf(c_0_77,negated_conjecture,
~ leq(host(esk7_0),host(esk13_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_73]),c_0_74]) ).
cnf(c_0_78,plain,
( ~ setIn(X1,alive)
| ~ setIn(X2,alive)
| host(X2) != host(X3)
| index(status,host(X1)) != elec_2
| index(status,host(X2)) != elec_2
| ~ elem(m_Ack(X1,X3),queue(host(X1)))
| ~ epred1_4(X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_79,negated_conjecture,
( host(X1) = nbr_proc
| leq(s(X2),host(esk11_0))
| leq(host(X1),X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( leq(host(esk11_0),host(esk7_0))
| ~ epred1_4(X1,X2,X3,X4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_44]),c_0_46])]),c_0_77]) ).
fof(c_0_81,plain,
! [X104,X105,X106] :
( ( ~ elem(X104,snoc(X106,X105))
| X104 = X105
| elem(X104,X106) )
& ( X104 != X105
| elem(X104,snoc(X106,X105)) )
& ( ~ elem(X104,X106)
| elem(X104,snoc(X106,X105)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])]) ).
fof(c_0_82,plain,
! [X36,X37,X38] : m_Ack(X36,X37) != m_Ldr(X38),
inference(variable_rename,[status(thm)],[axiom_14]) ).
cnf(c_0_83,negated_conjecture,
( index(status,host(X1)) != elec_2
| host(esk7_0) != host(X2)
| ~ epred1_4(X3,X4,X5,X6)
| ~ setIn(X1,alive)
| ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_44]),c_0_46])]) ).
cnf(c_0_84,negated_conjecture,
( host(X1) = nbr_proc
| X2 = host(X1)
| leq(s(X2),host(esk11_0))
| ~ leq(X2,host(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
leq(host(esk11_0),host(esk7_0)),
inference(spm,[status(thm)],[c_0_80,c_0_68]) ).
cnf(c_0_86,negated_conjecture,
~ leq(nbr_proc,host(esk11_0)),
inference(spm,[status(thm)],[c_0_71,c_0_40]) ).
cnf(c_0_87,plain,
( X1 = X3
| elem(X1,X2)
| ~ elem(X1,snoc(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_88,negated_conjecture,
elem(m_Ack(esk13_0,esk11_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_89,plain,
m_Ack(X1,X2) != m_Ldr(X3),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_90,plain,
! [X101,X102,X103] :
( ( ~ elem(X101,cons(X102,X103))
| X101 = X102
| elem(X101,X103) )
& ( X101 != X102
| elem(X101,cons(X102,X103)) )
& ( ~ elem(X101,X103)
| elem(X101,cons(X102,X103)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).
cnf(c_0_91,negated_conjecture,
( host(esk7_0) != host(X1)
| ~ epred1_4(X2,X3,X4,X5)
| ~ elem(m_Ack(esk13_0,X1),queue(host(esk13_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_60]),c_0_61])]) ).
cnf(c_0_92,negated_conjecture,
( host(esk11_0) = host(esk7_0)
| host(esk7_0) = nbr_proc ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_20]),c_0_33]),c_0_86]) ).
cnf(c_0_93,negated_conjecture,
elem(m_Ack(esk13_0,esk11_0),queue(host(esk13_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_94,plain,
( elem(X1,cons(X2,X3))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_95,plain,
( queue(host(X1)) = cons(m_Ack(X2,X3),X4)
| ~ epred1_4(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_96,plain,
( ~ elem(m_Ack(X1,X2),queue(host(X3)))
| ~ leq(host(X2),host(X1))
| ~ epred1_4(X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_97,negated_conjecture,
( host(esk7_0) = nbr_proc
| ~ epred1_4(X1,X2,X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
fof(c_0_98,plain,
! [X137] : leq(X137,X137),
inference(variable_rename,[status(thm)],[axiom_59]) ).
cnf(c_0_99,plain,
elem(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_100,plain,
cons(m_Ack(esk7_0,esk8_0),esk5_0) = queue(host(esk7_0)),
inference(spm,[status(thm)],[c_0_95,c_0_68]) ).
cnf(c_0_101,plain,
( ~ epred1_4(X1,X2,X3,X4)
| ~ leq(nbr_proc,host(X5))
| ~ elem(m_Ack(X5,esk8_0),queue(host(X6))) ),
inference(spm,[status(thm)],[c_0_96,c_0_51]) ).
cnf(c_0_102,negated_conjecture,
host(esk7_0) = nbr_proc,
inference(spm,[status(thm)],[c_0_97,c_0_68]) ).
cnf(c_0_103,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_104,plain,
elem(m_Ack(esk7_0,esk8_0),queue(host(esk7_0))),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,plain,
( ~ epred1_4(X1,X2,X3,X4)
| ~ elem(m_Ack(esk7_0,esk8_0),queue(host(X5))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_106,plain,
elem(m_Ack(esk7_0,esk8_0),queue(nbr_proc)),
inference(spm,[status(thm)],[c_0_104,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
~ epred1_4(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_33]),c_0_106])]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_68,c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 09:45:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 4.28/4.33 % Version : CSE_E---1.5
% 4.28/4.33 % Problem : theBenchmark.p
% 4.28/4.33 % Proof found
% 4.28/4.33 % SZS status Theorem for theBenchmark.p
% 4.28/4.33 % SZS output start Proof
% See solution above
% 4.28/4.34 % Total time : 3.755000 s
% 4.28/4.34 % SZS output end Proof
% 4.28/4.34 % Total time : 3.760000 s
%------------------------------------------------------------------------------