TSTP Solution File: SWV481+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWV481+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 09:09:29 EST 2010
% Result : Theorem 49.53s
% Output : Solution 49.53s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP2988/SWV481+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP2988/SWV481+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP2988/SWV481+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 3084
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.89 CPU 6.02 WC
% PrfWatch: 7.88 CPU 8.02 WC
% PrfWatch: 9.87 CPU 10.03 WC
% PrfWatch: 11.48 CPU 12.03 WC
% PrfWatch: 13.10 CPU 14.04 WC
% PrfWatch: 15.08 CPU 16.04 WC
% PrfWatch: 17.07 CPU 18.05 WC
% PrfWatch: 19.05 CPU 20.05 WC
% PrfWatch: 21.04 CPU 22.06 WC
% PrfWatch: 23.02 CPU 24.06 WC
% PrfWatch: 25.01 CPU 26.07 WC
% PrfWatch: 27.00 CPU 28.07 WC
% PrfWatch: 28.98 CPU 30.08 WC
% # Preprocessing time : 0.025 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 30.96 CPU 32.08 WC
% PrfWatch: 32.95 CPU 34.09 WC
% PrfWatch: 34.93 CPU 36.09 WC
% PrfWatch: 36.51 CPU 38.18 WC
% PrfWatch: 38.29 CPU 40.18 WC
% PrfWatch: 40.29 CPU 42.19 WC
% PrfWatch: 42.28 CPU 44.19 WC
% PrfWatch: 44.28 CPU 46.20 WC
% PrfWatch: 46.27 CPU 48.20 WC
% PrfWatch: 48.26 CPU 50.21 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:leq(s(zero),host(X1)),file('/tmp/SRASS.s.p', axiom_02)).
% fof(4, axiom,![X1]:leq(host(X1),nbr_proc),file('/tmp/SRASS.s.p', axiom_04)).
% fof(7, axiom,~(elec_1=norm),file('/tmp/SRASS.s.p', axiom_07)).
% fof(19, axiom,![X3]:![X4]:![X2]:(elem(X3,cons(X4,X2))<=>(X3=X4|elem(X3,X2))),file('/tmp/SRASS.s.p', axiom_46)).
% fof(23, axiom,![X3]:![X4]:((leq(X3,X4)&leq(X4,X3))<=>X3=X4),file('/tmp/SRASS.s.p', axiom_61)).
% fof(26, axiom,![X3]:![X4]:(leq(X3,s(X4))<=>(X3=s(X4)|leq(X3,X4))),file('/tmp/SRASS.s.p', axiom_64)).
% fof(67, conjecture,![X12]:![X13]:![X3]:![X4]:(((((((((((((((((![X5]:![X14]:(elem(m_Ldr(X14),queue(host(X5)))=>~(leq(host(X5),host(X14))))&![X5]:![X14]:(elem(m_Down(X14),queue(host(X5)))=>~(host(X14)=host(X5))))&![X5]:![X14]:((~(X14=X5)&host(X14)=host(X5))=>(~(setIn(X5,alive))|~(setIn(X14,alive)))))&![X5]:(((index(status,host(X5))=elec_1|index(status,host(X5))=elec_2)&setIn(X5,alive))=>index(elid,host(X5))=X5))&![X5]:![X14]:((((setIn(X5,alive)&setIn(X14,alive))&setIn(host(X14),index(down,host(X5))))&index(status,host(X14))=elec_2)=>leq(index(pendack,host(X14)),host(X5))))&![X5]:![X14]:(((setIn(X14,alive)&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>~((setIn(X5,alive)&setIn(host(X14),index(down,host(X5)))))))&![X5]:![X15]:![X14]:(((((setIn(X5,alive)&setIn(X14,alive))&elem(m_Down(X15),queue(host(X5))))&host(X14)=host(X15))&index(status,host(X14))=elec_2)=>leq(index(pendack,host(X14)),host(X5))))&![X5]:![X15]:![X14]:((((setIn(X14,alive)&host(X15)=host(X14))&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>~((setIn(X5,alive)&elem(m_Down(X15),queue(host(X5)))))))&![X5]:![X14]:((((((setIn(X5,alive)&setIn(X14,alive))&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>X14=X5))&![X5]:![X15]:![X14]:((((~(leq(host(X15),host(X14)))&setIn(X14,alive))&elem(m_Down(X15),queue(host(X14))))&host(X15)=host(X5))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X16]:![X15]:![X14]:(((((~(host(X15)=host(X5))&setIn(X5,alive))&setIn(X15,alive))&host(X16)=host(X5))&host(X14)=host(X15))=>~((elem(m_Down(X14),queue(host(X5)))&elem(m_Down(X16),queue(host(X15)))))))&![X5]:![X16]:![X15]:![X14]:(((((~(host(X15)=host(X5))&setIn(X5,alive))&setIn(X15,alive))&host(X16)=host(X5))&host(X14)=host(X15))=>~((elem(m_Down(X14),queue(host(X5)))&setIn(host(X16),index(down,host(X15)))))))&![X5]:![X15]:![X14]:((((((~(host(X14)=host(X15))&setIn(X14,alive))&elem(m_Down(X5),queue(host(X14))))&host(X15)=host(X5))&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)))))&![X5]:![X15]:![X14]:((((((~(host(X14)=host(X15))&setIn(X14,alive))&elem(m_Down(X5),queue(host(X14))))&host(X15)=host(X5))&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)))))&![X5]:![X16]:![X15]:![X14]:(((((((![X17]:((~(leq(host(X14),X17))&leq(s(zero),X17))=>(setIn(X17,index(down,host(X14)))|X17=host(X15)))&setIn(X5,alive))&leq(host(X5),host(X14)))&elem(m_Down(X15),queue(host(X14))))&host(X16)=host(X14))&index(status,host(X5))=elec_2)&index(status,host(X14))=elec_1)=>~(elem(m_Ack(X5,X16),queue(host(X5))))))&![X5]:![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(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&queue(host(X3))=cons(m_Down(X4),X12))=>(setIn(X3,alive)=>(~(leq(host(X3),host(X4)))=>(~(((index(ldr,host(X3))=host(X4)&index(status,host(X3))=norm)|(index(status,host(X3))=wait&host(X4)=host(index(elid,host(X3))))))=>(~((![X5]:((~(leq(host(X3),X5))&leq(s(zero),X5))=>(setIn(X5,index(down,host(X3)))|X5=host(X4)))&index(status,host(X3))=elec_1))=>![X5]:![X18]:![X19]:![X20]:(host(X3)=host(X20)=>(((((((![X17]:((~(leq(host(X20),X17))&leq(s(zero),X17))=>((setIn(X17,index(down,host(X3)))|X17=host(X4))|X17=host(X19)))&setIn(X20,alive))&elem(m_Down(X18),X12))&elem(m_Down(X19),X12))&leq(nbr_proc,s(host(X20))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))))))),file('/tmp/SRASS.s.p', conj)).
% fof(68, negated_conjecture,~(![X12]:![X13]:![X3]:![X4]:(((((((((((((((((![X5]:![X14]:(elem(m_Ldr(X14),queue(host(X5)))=>~(leq(host(X5),host(X14))))&![X5]:![X14]:(elem(m_Down(X14),queue(host(X5)))=>~(host(X14)=host(X5))))&![X5]:![X14]:((~(X14=X5)&host(X14)=host(X5))=>(~(setIn(X5,alive))|~(setIn(X14,alive)))))&![X5]:(((index(status,host(X5))=elec_1|index(status,host(X5))=elec_2)&setIn(X5,alive))=>index(elid,host(X5))=X5))&![X5]:![X14]:((((setIn(X5,alive)&setIn(X14,alive))&setIn(host(X14),index(down,host(X5))))&index(status,host(X14))=elec_2)=>leq(index(pendack,host(X14)),host(X5))))&![X5]:![X14]:(((setIn(X14,alive)&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>~((setIn(X5,alive)&setIn(host(X14),index(down,host(X5)))))))&![X5]:![X15]:![X14]:(((((setIn(X5,alive)&setIn(X14,alive))&elem(m_Down(X15),queue(host(X5))))&host(X14)=host(X15))&index(status,host(X14))=elec_2)=>leq(index(pendack,host(X14)),host(X5))))&![X5]:![X15]:![X14]:((((setIn(X14,alive)&host(X15)=host(X14))&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>~((setIn(X5,alive)&elem(m_Down(X15),queue(host(X5)))))))&![X5]:![X14]:((((((setIn(X5,alive)&setIn(X14,alive))&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>X14=X5))&![X5]:![X15]:![X14]:((((~(leq(host(X15),host(X14)))&setIn(X14,alive))&elem(m_Down(X15),queue(host(X14))))&host(X15)=host(X5))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X16]:![X15]:![X14]:(((((~(host(X15)=host(X5))&setIn(X5,alive))&setIn(X15,alive))&host(X16)=host(X5))&host(X14)=host(X15))=>~((elem(m_Down(X14),queue(host(X5)))&elem(m_Down(X16),queue(host(X15)))))))&![X5]:![X16]:![X15]:![X14]:(((((~(host(X15)=host(X5))&setIn(X5,alive))&setIn(X15,alive))&host(X16)=host(X5))&host(X14)=host(X15))=>~((elem(m_Down(X14),queue(host(X5)))&setIn(host(X16),index(down,host(X15)))))))&![X5]:![X15]:![X14]:((((((~(host(X14)=host(X15))&setIn(X14,alive))&elem(m_Down(X5),queue(host(X14))))&host(X15)=host(X5))&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)))))&![X5]:![X15]:![X14]:((((((~(host(X14)=host(X15))&setIn(X14,alive))&elem(m_Down(X5),queue(host(X14))))&host(X15)=host(X5))&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)))))&![X5]:![X16]:![X15]:![X14]:(((((((![X17]:((~(leq(host(X14),X17))&leq(s(zero),X17))=>(setIn(X17,index(down,host(X14)))|X17=host(X15)))&setIn(X5,alive))&leq(host(X5),host(X14)))&elem(m_Down(X15),queue(host(X14))))&host(X16)=host(X14))&index(status,host(X5))=elec_2)&index(status,host(X14))=elec_1)=>~(elem(m_Ack(X5,X16),queue(host(X5))))))&![X5]:![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(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&queue(host(X3))=cons(m_Down(X4),X12))=>(setIn(X3,alive)=>(~(leq(host(X3),host(X4)))=>(~(((index(ldr,host(X3))=host(X4)&index(status,host(X3))=norm)|(index(status,host(X3))=wait&host(X4)=host(index(elid,host(X3))))))=>(~((![X5]:((~(leq(host(X3),X5))&leq(s(zero),X5))=>(setIn(X5,index(down,host(X3)))|X5=host(X4)))&index(status,host(X3))=elec_1))=>![X5]:![X18]:![X19]:![X20]:(host(X3)=host(X20)=>(((((((![X17]:((~(leq(host(X20),X17))&leq(s(zero),X17))=>((setIn(X17,index(down,host(X3)))|X17=host(X4))|X17=host(X19)))&setIn(X20,alive))&elem(m_Down(X18),X12))&elem(m_Down(X19),X12))&leq(nbr_proc,s(host(X20))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)))))))))),inference(assume_negation,[status(cth)],[67])).
% fof(73, negated_conjecture,~(![X12]:![X13]:![X3]:![X4]:(((((((((((((((((![X5]:![X14]:(elem(m_Ldr(X14),queue(host(X5)))=>~(leq(host(X5),host(X14))))&![X5]:![X14]:(elem(m_Down(X14),queue(host(X5)))=>~(host(X14)=host(X5))))&![X5]:![X14]:((~(X14=X5)&host(X14)=host(X5))=>(~(setIn(X5,alive))|~(setIn(X14,alive)))))&![X5]:(((index(status,host(X5))=elec_1|index(status,host(X5))=elec_2)&setIn(X5,alive))=>index(elid,host(X5))=X5))&![X5]:![X14]:((((setIn(X5,alive)&setIn(X14,alive))&setIn(host(X14),index(down,host(X5))))&index(status,host(X14))=elec_2)=>leq(index(pendack,host(X14)),host(X5))))&![X5]:![X14]:(((setIn(X14,alive)&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>~((setIn(X5,alive)&setIn(host(X14),index(down,host(X5)))))))&![X5]:![X15]:![X14]:(((((setIn(X5,alive)&setIn(X14,alive))&elem(m_Down(X15),queue(host(X5))))&host(X14)=host(X15))&index(status,host(X14))=elec_2)=>leq(index(pendack,host(X14)),host(X5))))&![X5]:![X15]:![X14]:((((setIn(X14,alive)&host(X15)=host(X14))&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>~((setIn(X5,alive)&elem(m_Down(X15),queue(host(X5)))))))&![X5]:![X14]:((((((setIn(X5,alive)&setIn(X14,alive))&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>X14=X5))&![X5]:![X15]:![X14]:((((~(leq(host(X15),host(X14)))&setIn(X14,alive))&elem(m_Down(X15),queue(host(X14))))&host(X15)=host(X5))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X16]:![X15]:![X14]:(((((~(host(X15)=host(X5))&setIn(X5,alive))&setIn(X15,alive))&host(X16)=host(X5))&host(X14)=host(X15))=>~((elem(m_Down(X14),queue(host(X5)))&elem(m_Down(X16),queue(host(X15)))))))&![X5]:![X16]:![X15]:![X14]:(((((~(host(X15)=host(X5))&setIn(X5,alive))&setIn(X15,alive))&host(X16)=host(X5))&host(X14)=host(X15))=>~((elem(m_Down(X14),queue(host(X5)))&setIn(host(X16),index(down,host(X15)))))))&![X5]:![X15]:![X14]:((((((~(host(X14)=host(X15))&setIn(X14,alive))&elem(m_Down(X5),queue(host(X14))))&host(X15)=host(X5))&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)))))&![X5]:![X15]:![X14]:((((((~(host(X14)=host(X15))&setIn(X14,alive))&elem(m_Down(X5),queue(host(X14))))&host(X15)=host(X5))&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)))))&![X5]:![X16]:![X15]:![X14]:(((((((![X17]:((~(leq(host(X14),X17))&leq(s(zero),X17))=>(setIn(X17,index(down,host(X14)))|X17=host(X15)))&setIn(X5,alive))&leq(host(X5),host(X14)))&elem(m_Down(X15),queue(host(X14))))&host(X16)=host(X14))&index(status,host(X5))=elec_2)&index(status,host(X14))=elec_1)=>~(elem(m_Ack(X5,X16),queue(host(X5))))))&![X5]:![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(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&queue(host(X3))=cons(m_Down(X4),X12))=>(setIn(X3,alive)=>(~(leq(host(X3),host(X4)))=>(~(((index(ldr,host(X3))=host(X4)&index(status,host(X3))=norm)|(index(status,host(X3))=wait&host(X4)=host(index(elid,host(X3))))))=>(~((![X5]:((~(leq(host(X3),X5))&leq(s(zero),X5))=>(setIn(X5,index(down,host(X3)))|X5=host(X4)))&index(status,host(X3))=elec_1))=>![X5]:![X18]:![X19]:![X20]:(host(X3)=host(X20)=>(((((((![X17]:((~(leq(host(X20),X17))&leq(s(zero),X17))=>((setIn(X17,index(down,host(X3)))|X17=host(X4))|X17=host(X19)))&setIn(X20,alive))&elem(m_Down(X18),X12))&elem(m_Down(X19),X12))&leq(nbr_proc,s(host(X20))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)))))))))),inference(fof_simplification,[status(thm)],[68,theory(equality)])).
% fof(74, plain,![X12]:![X4]:![X3]:(epred1_3(X3,X4,X12)=>((((((((((((((((![X5]:![X14]:(elem(m_Ldr(X14),queue(host(X5)))=>~(leq(host(X5),host(X14))))&![X5]:![X14]:(elem(m_Down(X14),queue(host(X5)))=>~(host(X14)=host(X5))))&![X5]:![X14]:((~(X14=X5)&host(X14)=host(X5))=>(~(setIn(X5,alive))|~(setIn(X14,alive)))))&![X5]:(((index(status,host(X5))=elec_1|index(status,host(X5))=elec_2)&setIn(X5,alive))=>index(elid,host(X5))=X5))&![X5]:![X14]:((((setIn(X5,alive)&setIn(X14,alive))&setIn(host(X14),index(down,host(X5))))&index(status,host(X14))=elec_2)=>leq(index(pendack,host(X14)),host(X5))))&![X5]:![X14]:(((setIn(X14,alive)&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>~((setIn(X5,alive)&setIn(host(X14),index(down,host(X5)))))))&![X5]:![X15]:![X14]:(((((setIn(X5,alive)&setIn(X14,alive))&elem(m_Down(X15),queue(host(X5))))&host(X14)=host(X15))&index(status,host(X14))=elec_2)=>leq(index(pendack,host(X14)),host(X5))))&![X5]:![X15]:![X14]:((((setIn(X14,alive)&host(X15)=host(X14))&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>~((setIn(X5,alive)&elem(m_Down(X15),queue(host(X5)))))))&![X5]:![X14]:((((((setIn(X5,alive)&setIn(X14,alive))&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)&index(status,host(X14))=norm)&index(ldr,host(X14))=host(X14))=>X14=X5))&![X5]:![X15]:![X14]:((((~(leq(host(X15),host(X14)))&setIn(X14,alive))&elem(m_Down(X15),queue(host(X14))))&host(X15)=host(X5))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X16]:![X15]:![X14]:(((((~(host(X15)=host(X5))&setIn(X5,alive))&setIn(X15,alive))&host(X16)=host(X5))&host(X14)=host(X15))=>~((elem(m_Down(X14),queue(host(X5)))&elem(m_Down(X16),queue(host(X15)))))))&![X5]:![X16]:![X15]:![X14]:(((((~(host(X15)=host(X5))&setIn(X5,alive))&setIn(X15,alive))&host(X16)=host(X5))&host(X14)=host(X15))=>~((elem(m_Down(X14),queue(host(X5)))&setIn(host(X16),index(down,host(X15)))))))&![X5]:![X15]:![X14]:((((((~(host(X14)=host(X15))&setIn(X14,alive))&elem(m_Down(X5),queue(host(X14))))&host(X15)=host(X5))&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)))))&![X5]:![X15]:![X14]:((((((~(host(X14)=host(X15))&setIn(X14,alive))&elem(m_Down(X5),queue(host(X14))))&host(X15)=host(X5))&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)))))&![X5]:![X16]:![X15]:![X14]:(((((((![X17]:((~(leq(host(X14),X17))&leq(s(zero),X17))=>(setIn(X17,index(down,host(X14)))|X17=host(X15)))&setIn(X5,alive))&leq(host(X5),host(X14)))&elem(m_Down(X15),queue(host(X14))))&host(X16)=host(X14))&index(status,host(X5))=elec_2)&index(status,host(X14))=elec_1)=>~(elem(m_Ack(X5,X16),queue(host(X5))))))&![X5]:![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(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&queue(host(X3))=cons(m_Down(X4),X12))),introduced(definition)).
% fof(75, negated_conjecture,~(![X12]:![X13]:![X3]:![X4]:(epred1_3(X3,X4,X12)=>(setIn(X3,alive)=>(~(leq(host(X3),host(X4)))=>(~(((index(ldr,host(X3))=host(X4)&index(status,host(X3))=norm)|(index(status,host(X3))=wait&host(X4)=host(index(elid,host(X3))))))=>(~((![X5]:((~(leq(host(X3),X5))&leq(s(zero),X5))=>(setIn(X5,index(down,host(X3)))|X5=host(X4)))&index(status,host(X3))=elec_1))=>![X5]:![X18]:![X19]:![X20]:(host(X3)=host(X20)=>(((((((![X17]:((~(leq(host(X20),X17))&leq(s(zero),X17))=>((setIn(X17,index(down,host(X3)))|X17=host(X4))|X17=host(X19)))&setIn(X20,alive))&elem(m_Down(X18),X12))&elem(m_Down(X19),X12))&leq(nbr_proc,s(host(X20))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)))))))))),inference(apply_def,[status(esa)],[73,74,theory(equality)])).
% fof(79, plain,![X2]:leq(s(zero),host(X2)),inference(variable_rename,[status(thm)],[2])).
% cnf(80,plain,(leq(s(zero),host(X1))),inference(split_conjunct,[status(thm)],[79])).
% fof(82, plain,![X2]:leq(host(X2),nbr_proc),inference(variable_rename,[status(thm)],[4])).
% cnf(83,plain,(leq(host(X1),nbr_proc)),inference(split_conjunct,[status(thm)],[82])).
% cnf(86,plain,(elec_1!=norm),inference(split_conjunct,[status(thm)],[7])).
% fof(113, plain,![X3]:![X4]:![X2]:((~(elem(X3,cons(X4,X2)))|(X3=X4|elem(X3,X2)))&((~(X3=X4)&~(elem(X3,X2)))|elem(X3,cons(X4,X2)))),inference(fof_nnf,[status(thm)],[19])).
% fof(114, plain,![X5]:![X6]:![X7]:((~(elem(X5,cons(X6,X7)))|(X5=X6|elem(X5,X7)))&((~(X5=X6)&~(elem(X5,X7)))|elem(X5,cons(X6,X7)))),inference(variable_rename,[status(thm)],[113])).
% fof(115, plain,![X5]:![X6]:![X7]:((~(elem(X5,cons(X6,X7)))|(X5=X6|elem(X5,X7)))&((~(X5=X6)|elem(X5,cons(X6,X7)))&(~(elem(X5,X7))|elem(X5,cons(X6,X7))))),inference(distribute,[status(thm)],[114])).
% cnf(116,plain,(elem(X1,cons(X2,X3))|~elem(X1,X3)),inference(split_conjunct,[status(thm)],[115])).
% cnf(117,plain,(elem(X1,cons(X2,X3))|X1!=X2),inference(split_conjunct,[status(thm)],[115])).
% fof(125, plain,![X3]:![X4]:(((~(leq(X3,X4))|~(leq(X4,X3)))|X3=X4)&(~(X3=X4)|(leq(X3,X4)&leq(X4,X3)))),inference(fof_nnf,[status(thm)],[23])).
% fof(126, plain,![X5]:![X6]:(((~(leq(X5,X6))|~(leq(X6,X5)))|X5=X6)&(~(X5=X6)|(leq(X5,X6)&leq(X6,X5)))),inference(variable_rename,[status(thm)],[125])).
% fof(127, plain,![X5]:![X6]:(((~(leq(X5,X6))|~(leq(X6,X5)))|X5=X6)&((leq(X5,X6)|~(X5=X6))&(leq(X6,X5)|~(X5=X6)))),inference(distribute,[status(thm)],[126])).
% cnf(130,plain,(X1=X2|~leq(X2,X1)|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[127])).
% fof(138, plain,![X3]:![X4]:((~(leq(X3,s(X4)))|(X3=s(X4)|leq(X3,X4)))&((~(X3=s(X4))&~(leq(X3,X4)))|leq(X3,s(X4)))),inference(fof_nnf,[status(thm)],[26])).
% fof(139, plain,![X5]:![X6]:((~(leq(X5,s(X6)))|(X5=s(X6)|leq(X5,X6)))&((~(X5=s(X6))&~(leq(X5,X6)))|leq(X5,s(X6)))),inference(variable_rename,[status(thm)],[138])).
% fof(140, plain,![X5]:![X6]:((~(leq(X5,s(X6)))|(X5=s(X6)|leq(X5,X6)))&((~(X5=s(X6))|leq(X5,s(X6)))&(~(leq(X5,X6))|leq(X5,s(X6))))),inference(distribute,[status(thm)],[139])).
% cnf(143,plain,(leq(X1,X2)|X1=s(X2)|~leq(X1,s(X2))),inference(split_conjunct,[status(thm)],[140])).
% fof(265, negated_conjecture,?[X12]:?[X13]:?[X3]:?[X4]:(epred1_3(X3,X4,X12)&(setIn(X3,alive)&(~(leq(host(X3),host(X4)))&(((~(index(ldr,host(X3))=host(X4))|~(index(status,host(X3))=norm))&(~(index(status,host(X3))=wait)|~(host(X4)=host(index(elid,host(X3))))))&((?[X5]:((~(leq(host(X3),X5))&leq(s(zero),X5))&(~(setIn(X5,index(down,host(X3))))&~(X5=host(X4))))|~(index(status,host(X3))=elec_1))&?[X5]:?[X18]:?[X19]:?[X20]:(host(X3)=host(X20)&(((((((![X17]:((leq(host(X20),X17)|~(leq(s(zero),X17)))|((setIn(X17,index(down,host(X3)))|X17=host(X4))|X17=host(X19)))&setIn(X20,alive))&elem(m_Down(X18),X12))&elem(m_Down(X19),X12))&leq(nbr_proc,s(host(X20))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)&((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)))))))),inference(fof_nnf,[status(thm)],[75])).
% fof(266, negated_conjecture,?[X21]:?[X22]:?[X23]:?[X24]:(epred1_3(X23,X24,X21)&(setIn(X23,alive)&(~(leq(host(X23),host(X24)))&(((~(index(ldr,host(X23))=host(X24))|~(index(status,host(X23))=norm))&(~(index(status,host(X23))=wait)|~(host(X24)=host(index(elid,host(X23))))))&((?[X25]:((~(leq(host(X23),X25))&leq(s(zero),X25))&(~(setIn(X25,index(down,host(X23))))&~(X25=host(X24))))|~(index(status,host(X23))=elec_1))&?[X26]:?[X27]:?[X28]:?[X29]:(host(X23)=host(X29)&(((((((![X30]:((leq(host(X29),X30)|~(leq(s(zero),X30)))|((setIn(X30,index(down,host(X23)))|X30=host(X24))|X30=host(X28)))&setIn(X29,alive))&elem(m_Down(X27),X21))&elem(m_Down(X28),X21))&leq(nbr_proc,s(host(X29))))&host(X27)=s(host(X29)))&index(status,host(X29))=elec_1)&((setIn(X26,alive)&index(ldr,host(X26))=host(X26))&index(status,host(X26))=norm)))))))),inference(variable_rename,[status(thm)],[265])).
% fof(267, negated_conjecture,(epred1_3(esk6_0,esk7_0,esk4_0)&(setIn(esk6_0,alive)&(~(leq(host(esk6_0),host(esk7_0)))&(((~(index(ldr,host(esk6_0))=host(esk7_0))|~(index(status,host(esk6_0))=norm))&(~(index(status,host(esk6_0))=wait)|~(host(esk7_0)=host(index(elid,host(esk6_0))))))&((((~(leq(host(esk6_0),esk8_0))&leq(s(zero),esk8_0))&(~(setIn(esk8_0,index(down,host(esk6_0))))&~(esk8_0=host(esk7_0))))|~(index(status,host(esk6_0))=elec_1))&(host(esk6_0)=host(esk12_0)&(((((((![X30]:((leq(host(esk12_0),X30)|~(leq(s(zero),X30)))|((setIn(X30,index(down,host(esk6_0)))|X30=host(esk7_0))|X30=host(esk11_0)))&setIn(esk12_0,alive))&elem(m_Down(esk10_0),esk4_0))&elem(m_Down(esk11_0),esk4_0))&leq(nbr_proc,s(host(esk12_0))))&host(esk10_0)=s(host(esk12_0)))&index(status,host(esk12_0))=elec_1)&((setIn(esk9_0,alive)&index(ldr,host(esk9_0))=host(esk9_0))&index(status,host(esk9_0))=norm)))))))),inference(skolemize,[status(esa)],[266])).
% fof(268, negated_conjecture,![X30]:(((((((((((((((leq(host(esk12_0),X30)|~(leq(s(zero),X30)))|((setIn(X30,index(down,host(esk6_0)))|X30=host(esk7_0))|X30=host(esk11_0)))&setIn(esk12_0,alive))&elem(m_Down(esk10_0),esk4_0))&elem(m_Down(esk11_0),esk4_0))&leq(nbr_proc,s(host(esk12_0))))&host(esk10_0)=s(host(esk12_0)))&index(status,host(esk12_0))=elec_1)&((setIn(esk9_0,alive)&index(ldr,host(esk9_0))=host(esk9_0))&index(status,host(esk9_0))=norm))&host(esk6_0)=host(esk12_0))&(((~(leq(host(esk6_0),esk8_0))&leq(s(zero),esk8_0))&(~(setIn(esk8_0,index(down,host(esk6_0))))&~(esk8_0=host(esk7_0))))|~(index(status,host(esk6_0))=elec_1)))&((~(index(ldr,host(esk6_0))=host(esk7_0))|~(index(status,host(esk6_0))=norm))&(~(index(status,host(esk6_0))=wait)|~(host(esk7_0)=host(index(elid,host(esk6_0)))))))&~(leq(host(esk6_0),host(esk7_0))))&setIn(esk6_0,alive))&epred1_3(esk6_0,esk7_0,esk4_0)),inference(shift_quantors,[status(thm)],[267])).
% fof(269, negated_conjecture,![X30]:(((((((((((((((leq(host(esk12_0),X30)|~(leq(s(zero),X30)))|((setIn(X30,index(down,host(esk6_0)))|X30=host(esk7_0))|X30=host(esk11_0)))&setIn(esk12_0,alive))&elem(m_Down(esk10_0),esk4_0))&elem(m_Down(esk11_0),esk4_0))&leq(nbr_proc,s(host(esk12_0))))&host(esk10_0)=s(host(esk12_0)))&index(status,host(esk12_0))=elec_1)&((setIn(esk9_0,alive)&index(ldr,host(esk9_0))=host(esk9_0))&index(status,host(esk9_0))=norm))&host(esk6_0)=host(esk12_0))&(((~(leq(host(esk6_0),esk8_0))|~(index(status,host(esk6_0))=elec_1))&(leq(s(zero),esk8_0)|~(index(status,host(esk6_0))=elec_1)))&((~(setIn(esk8_0,index(down,host(esk6_0))))|~(index(status,host(esk6_0))=elec_1))&(~(esk8_0=host(esk7_0))|~(index(status,host(esk6_0))=elec_1)))))&((~(index(ldr,host(esk6_0))=host(esk7_0))|~(index(status,host(esk6_0))=norm))&(~(index(status,host(esk6_0))=wait)|~(host(esk7_0)=host(index(elid,host(esk6_0)))))))&~(leq(host(esk6_0),host(esk7_0))))&setIn(esk6_0,alive))&epred1_3(esk6_0,esk7_0,esk4_0)),inference(distribute,[status(thm)],[268])).
% cnf(270,negated_conjecture,(epred1_3(esk6_0,esk7_0,esk4_0)),inference(split_conjunct,[status(thm)],[269])).
% cnf(271,negated_conjecture,(setIn(esk6_0,alive)),inference(split_conjunct,[status(thm)],[269])).
% cnf(275,negated_conjecture,(index(status,host(esk6_0))!=elec_1|esk8_0!=host(esk7_0)),inference(split_conjunct,[status(thm)],[269])).
% cnf(276,negated_conjecture,(index(status,host(esk6_0))!=elec_1|~setIn(esk8_0,index(down,host(esk6_0)))),inference(split_conjunct,[status(thm)],[269])).
% cnf(277,negated_conjecture,(leq(s(zero),esk8_0)|index(status,host(esk6_0))!=elec_1),inference(split_conjunct,[status(thm)],[269])).
% cnf(278,negated_conjecture,(index(status,host(esk6_0))!=elec_1|~leq(host(esk6_0),esk8_0)),inference(split_conjunct,[status(thm)],[269])).
% cnf(279,negated_conjecture,(host(esk6_0)=host(esk12_0)),inference(split_conjunct,[status(thm)],[269])).
% cnf(280,negated_conjecture,(index(status,host(esk9_0))=norm),inference(split_conjunct,[status(thm)],[269])).
% cnf(281,negated_conjecture,(index(ldr,host(esk9_0))=host(esk9_0)),inference(split_conjunct,[status(thm)],[269])).
% cnf(282,negated_conjecture,(setIn(esk9_0,alive)),inference(split_conjunct,[status(thm)],[269])).
% cnf(283,negated_conjecture,(index(status,host(esk12_0))=elec_1),inference(split_conjunct,[status(thm)],[269])).
% cnf(284,negated_conjecture,(host(esk10_0)=s(host(esk12_0))),inference(split_conjunct,[status(thm)],[269])).
% cnf(285,negated_conjecture,(leq(nbr_proc,s(host(esk12_0)))),inference(split_conjunct,[status(thm)],[269])).
% cnf(286,negated_conjecture,(elem(m_Down(esk11_0),esk4_0)),inference(split_conjunct,[status(thm)],[269])).
% cnf(287,negated_conjecture,(elem(m_Down(esk10_0),esk4_0)),inference(split_conjunct,[status(thm)],[269])).
% cnf(289,negated_conjecture,(X1=host(esk11_0)|X1=host(esk7_0)|setIn(X1,index(down,host(esk6_0)))|leq(host(esk12_0),X1)|~leq(s(zero),X1)),inference(split_conjunct,[status(thm)],[269])).
% fof(290, plain,![X12]:![X4]:![X3]:(~(epred1_3(X3,X4,X12))|((((((((((((((((![X5]:![X14]:(~(elem(m_Ldr(X14),queue(host(X5))))|~(leq(host(X5),host(X14))))&![X5]:![X14]:(~(elem(m_Down(X14),queue(host(X5))))|~(host(X14)=host(X5))))&![X5]:![X14]:((X14=X5|~(host(X14)=host(X5)))|(~(setIn(X5,alive))|~(setIn(X14,alive)))))&![X5]:(((~(index(status,host(X5))=elec_1)&~(index(status,host(X5))=elec_2))|~(setIn(X5,alive)))|index(elid,host(X5))=X5))&![X5]:![X14]:((((~(setIn(X5,alive))|~(setIn(X14,alive)))|~(setIn(host(X14),index(down,host(X5)))))|~(index(status,host(X14))=elec_2))|leq(index(pendack,host(X14)),host(X5))))&![X5]:![X14]:(((~(setIn(X14,alive))|~(index(status,host(X14))=norm))|~(index(ldr,host(X14))=host(X14)))|(~(setIn(X5,alive))|~(setIn(host(X14),index(down,host(X5)))))))&![X5]:![X15]:![X14]:(((((~(setIn(X5,alive))|~(setIn(X14,alive)))|~(elem(m_Down(X15),queue(host(X5)))))|~(host(X14)=host(X15)))|~(index(status,host(X14))=elec_2))|leq(index(pendack,host(X14)),host(X5))))&![X5]:![X15]:![X14]:((((~(setIn(X14,alive))|~(host(X15)=host(X14)))|~(index(status,host(X14))=norm))|~(index(ldr,host(X14))=host(X14)))|(~(setIn(X5,alive))|~(elem(m_Down(X15),queue(host(X5)))))))&![X5]:![X14]:((((((~(setIn(X5,alive))|~(setIn(X14,alive)))|~(index(ldr,host(X5))=host(X5)))|~(index(status,host(X5))=norm))|~(index(status,host(X14))=norm))|~(index(ldr,host(X14))=host(X14)))|X14=X5))&![X5]:![X15]:![X14]:((((leq(host(X15),host(X14))|~(setIn(X14,alive)))|~(elem(m_Down(X15),queue(host(X14)))))|~(host(X15)=host(X5)))|((~(setIn(X5,alive))|~(index(ldr,host(X5))=host(X5)))|~(index(status,host(X5))=norm))))&![X5]:![X16]:![X15]:![X14]:(((((host(X15)=host(X5)|~(setIn(X5,alive)))|~(setIn(X15,alive)))|~(host(X16)=host(X5)))|~(host(X14)=host(X15)))|(~(elem(m_Down(X14),queue(host(X5))))|~(elem(m_Down(X16),queue(host(X15)))))))&![X5]:![X16]:![X15]:![X14]:(((((host(X15)=host(X5)|~(setIn(X5,alive)))|~(setIn(X15,alive)))|~(host(X16)=host(X5)))|~(host(X14)=host(X15)))|(~(elem(m_Down(X14),queue(host(X5))))|~(setIn(host(X16),index(down,host(X15)))))))&![X5]:![X15]:![X14]:((((((host(X14)=host(X15)|~(setIn(X14,alive)))|~(elem(m_Down(X5),queue(host(X14)))))|~(host(X15)=host(X5)))|~(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)))))&![X5]:![X15]:![X14]:((((((host(X14)=host(X15)|~(setIn(X14,alive)))|~(elem(m_Down(X5),queue(host(X14)))))|~(host(X15)=host(X5)))|~(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)))))&![X5]:![X16]:![X15]:![X14]:(((((((?[X17]:((~(leq(host(X14),X17))&leq(s(zero),X17))&(~(setIn(X17,index(down,host(X14))))&~(X17=host(X15))))|~(setIn(X5,alive)))|~(leq(host(X5),host(X14))))|~(elem(m_Down(X15),queue(host(X14)))))|~(host(X16)=host(X14)))|~(index(status,host(X5))=elec_2))|~(index(status,host(X14))=elec_1))|~(elem(m_Ack(X5,X16),queue(host(X5))))))&![X5]:![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(X5,alive))|~(index(ldr,host(X5))=host(X5)))|~(index(status,host(X5))=norm))))&queue(host(X3))=cons(m_Down(X4),X12))),inference(fof_nnf,[status(thm)],[74])).
% fof(291, plain,![X18]:![X19]:![X20]:(~(epred1_3(X20,X19,X18))|((((((((((((((((![X21]:![X22]:(~(elem(m_Ldr(X22),queue(host(X21))))|~(leq(host(X21),host(X22))))&![X23]:![X24]:(~(elem(m_Down(X24),queue(host(X23))))|~(host(X24)=host(X23))))&![X25]:![X26]:((X26=X25|~(host(X26)=host(X25)))|(~(setIn(X25,alive))|~(setIn(X26,alive)))))&![X27]:(((~(index(status,host(X27))=elec_1)&~(index(status,host(X27))=elec_2))|~(setIn(X27,alive)))|index(elid,host(X27))=X27))&![X28]:![X29]:((((~(setIn(X28,alive))|~(setIn(X29,alive)))|~(setIn(host(X29),index(down,host(X28)))))|~(index(status,host(X29))=elec_2))|leq(index(pendack,host(X29)),host(X28))))&![X30]:![X31]:(((~(setIn(X31,alive))|~(index(status,host(X31))=norm))|~(index(ldr,host(X31))=host(X31)))|(~(setIn(X30,alive))|~(setIn(host(X31),index(down,host(X30)))))))&![X32]:![X33]:![X34]:(((((~(setIn(X32,alive))|~(setIn(X34,alive)))|~(elem(m_Down(X33),queue(host(X32)))))|~(host(X34)=host(X33)))|~(index(status,host(X34))=elec_2))|leq(index(pendack,host(X34)),host(X32))))&![X35]:![X36]:![X37]:((((~(setIn(X37,alive))|~(host(X36)=host(X37)))|~(index(status,host(X37))=norm))|~(index(ldr,host(X37))=host(X37)))|(~(setIn(X35,alive))|~(elem(m_Down(X36),queue(host(X35)))))))&![X38]:![X39]:((((((~(setIn(X38,alive))|~(setIn(X39,alive)))|~(index(ldr,host(X38))=host(X38)))|~(index(status,host(X38))=norm))|~(index(status,host(X39))=norm))|~(index(ldr,host(X39))=host(X39)))|X39=X38))&![X40]:![X41]:![X42]:((((leq(host(X41),host(X42))|~(setIn(X42,alive)))|~(elem(m_Down(X41),queue(host(X42)))))|~(host(X41)=host(X40)))|((~(setIn(X40,alive))|~(index(ldr,host(X40))=host(X40)))|~(index(status,host(X40))=norm))))&![X43]:![X44]:![X45]:![X46]:(((((host(X45)=host(X43)|~(setIn(X43,alive)))|~(setIn(X45,alive)))|~(host(X44)=host(X43)))|~(host(X46)=host(X45)))|(~(elem(m_Down(X46),queue(host(X43))))|~(elem(m_Down(X44),queue(host(X45)))))))&![X47]:![X48]:![X49]:![X50]:(((((host(X49)=host(X47)|~(setIn(X47,alive)))|~(setIn(X49,alive)))|~(host(X48)=host(X47)))|~(host(X50)=host(X49)))|(~(elem(m_Down(X50),queue(host(X47))))|~(setIn(host(X48),index(down,host(X49)))))))&![X51]:![X52]:![X53]:((((((host(X53)=host(X52)|~(setIn(X53,alive)))|~(elem(m_Down(X51),queue(host(X53)))))|~(host(X52)=host(X51)))|~(index(status,host(X53))=norm))|~(index(ldr,host(X53))=host(X52)))|((~(setIn(X52,alive))|~(index(status,host(X52))=norm))|~(index(ldr,host(X52))=host(X52)))))&![X54]:![X55]:![X56]:((((((host(X56)=host(X55)|~(setIn(X56,alive)))|~(elem(m_Down(X54),queue(host(X56)))))|~(host(X55)=host(X54)))|~(index(status,host(X56))=wait))|~(host(index(elid,host(X56)))=host(X55)))|((~(setIn(X55,alive))|~(index(status,host(X55))=norm))|~(index(ldr,host(X55))=host(X55)))))&![X57]:![X58]:![X59]:![X60]:(((((((?[X61]:((~(leq(host(X60),X61))&leq(s(zero),X61))&(~(setIn(X61,index(down,host(X60))))&~(X61=host(X59))))|~(setIn(X57,alive)))|~(leq(host(X57),host(X60))))|~(elem(m_Down(X59),queue(host(X60)))))|~(host(X58)=host(X60)))|~(index(status,host(X57))=elec_2))|~(index(status,host(X60))=elec_1))|~(elem(m_Ack(X57,X58),queue(host(X57))))))&![X62]:![X63]:![X64]:![X65]:(((((((?[X66]:((~(leq(host(X65),X66))&leq(s(zero),X66))&(~(setIn(X66,index(down,host(X65))))&~(X66=host(X64))))|~(setIn(X65,alive)))|~(leq(nbr_proc,s(host(X65)))))|~(elem(m_Down(X64),queue(host(X65)))))|~(elem(m_Down(X63),queue(host(X65)))))|~(host(X63)=s(host(X65))))|~(index(status,host(X65))=elec_1))|((~(setIn(X62,alive))|~(index(ldr,host(X62))=host(X62)))|~(index(status,host(X62))=norm))))&queue(host(X20))=cons(m_Down(X19),X18))),inference(variable_rename,[status(thm)],[290])).
% fof(292, plain,![X18]:![X19]:![X20]:(~(epred1_3(X20,X19,X18))|((((((((((((((((![X21]:![X22]:(~(elem(m_Ldr(X22),queue(host(X21))))|~(leq(host(X21),host(X22))))&![X23]:![X24]:(~(elem(m_Down(X24),queue(host(X23))))|~(host(X24)=host(X23))))&![X25]:![X26]:((X26=X25|~(host(X26)=host(X25)))|(~(setIn(X25,alive))|~(setIn(X26,alive)))))&![X27]:(((~(index(status,host(X27))=elec_1)&~(index(status,host(X27))=elec_2))|~(setIn(X27,alive)))|index(elid,host(X27))=X27))&![X28]:![X29]:((((~(setIn(X28,alive))|~(setIn(X29,alive)))|~(setIn(host(X29),index(down,host(X28)))))|~(index(status,host(X29))=elec_2))|leq(index(pendack,host(X29)),host(X28))))&![X30]:![X31]:(((~(setIn(X31,alive))|~(index(status,host(X31))=norm))|~(index(ldr,host(X31))=host(X31)))|(~(setIn(X30,alive))|~(setIn(host(X31),index(down,host(X30)))))))&![X32]:![X33]:![X34]:(((((~(setIn(X32,alive))|~(setIn(X34,alive)))|~(elem(m_Down(X33),queue(host(X32)))))|~(host(X34)=host(X33)))|~(index(status,host(X34))=elec_2))|leq(index(pendack,host(X34)),host(X32))))&![X35]:![X36]:![X37]:((((~(setIn(X37,alive))|~(host(X36)=host(X37)))|~(index(status,host(X37))=norm))|~(index(ldr,host(X37))=host(X37)))|(~(setIn(X35,alive))|~(elem(m_Down(X36),queue(host(X35)))))))&![X38]:![X39]:((((((~(setIn(X38,alive))|~(setIn(X39,alive)))|~(index(ldr,host(X38))=host(X38)))|~(index(status,host(X38))=norm))|~(index(status,host(X39))=norm))|~(index(ldr,host(X39))=host(X39)))|X39=X38))&![X40]:![X41]:![X42]:((((leq(host(X41),host(X42))|~(setIn(X42,alive)))|~(elem(m_Down(X41),queue(host(X42)))))|~(host(X41)=host(X40)))|((~(setIn(X40,alive))|~(index(ldr,host(X40))=host(X40)))|~(index(status,host(X40))=norm))))&![X43]:![X44]:![X45]:![X46]:(((((host(X45)=host(X43)|~(setIn(X43,alive)))|~(setIn(X45,alive)))|~(host(X44)=host(X43)))|~(host(X46)=host(X45)))|(~(elem(m_Down(X46),queue(host(X43))))|~(elem(m_Down(X44),queue(host(X45)))))))&![X47]:![X48]:![X49]:![X50]:(((((host(X49)=host(X47)|~(setIn(X47,alive)))|~(setIn(X49,alive)))|~(host(X48)=host(X47)))|~(host(X50)=host(X49)))|(~(elem(m_Down(X50),queue(host(X47))))|~(setIn(host(X48),index(down,host(X49)))))))&![X51]:![X52]:![X53]:((((((host(X53)=host(X52)|~(setIn(X53,alive)))|~(elem(m_Down(X51),queue(host(X53)))))|~(host(X52)=host(X51)))|~(index(status,host(X53))=norm))|~(index(ldr,host(X53))=host(X52)))|((~(setIn(X52,alive))|~(index(status,host(X52))=norm))|~(index(ldr,host(X52))=host(X52)))))&![X54]:![X55]:![X56]:((((((host(X56)=host(X55)|~(setIn(X56,alive)))|~(elem(m_Down(X54),queue(host(X56)))))|~(host(X55)=host(X54)))|~(index(status,host(X56))=wait))|~(host(index(elid,host(X56)))=host(X55)))|((~(setIn(X55,alive))|~(index(status,host(X55))=norm))|~(index(ldr,host(X55))=host(X55)))))&![X57]:![X58]:![X59]:![X60]:(((((((((~(leq(host(X60),esk13_7(X18,X19,X20,X57,X58,X59,X60)))&leq(s(zero),esk13_7(X18,X19,X20,X57,X58,X59,X60)))&(~(setIn(esk13_7(X18,X19,X20,X57,X58,X59,X60),index(down,host(X60))))&~(esk13_7(X18,X19,X20,X57,X58,X59,X60)=host(X59))))|~(setIn(X57,alive)))|~(leq(host(X57),host(X60))))|~(elem(m_Down(X59),queue(host(X60)))))|~(host(X58)=host(X60)))|~(index(status,host(X57))=elec_2))|~(index(status,host(X60))=elec_1))|~(elem(m_Ack(X57,X58),queue(host(X57))))))&![X62]:![X63]:![X64]:![X65]:(((((((((~(leq(host(X65),esk14_7(X18,X19,X20,X62,X63,X64,X65)))&leq(s(zero),esk14_7(X18,X19,X20,X62,X63,X64,X65)))&(~(setIn(esk14_7(X18,X19,X20,X62,X63,X64,X65),index(down,host(X65))))&~(esk14_7(X18,X19,X20,X62,X63,X64,X65)=host(X64))))|~(setIn(X65,alive)))|~(leq(nbr_proc,s(host(X65)))))|~(elem(m_Down(X64),queue(host(X65)))))|~(elem(m_Down(X63),queue(host(X65)))))|~(host(X63)=s(host(X65))))|~(index(status,host(X65))=elec_1))|((~(setIn(X62,alive))|~(index(ldr,host(X62))=host(X62)))|~(index(status,host(X62))=norm))))&queue(host(X20))=cons(m_Down(X19),X18))),inference(skolemize,[status(esa)],[291])).
% fof(293, plain,![X18]:![X19]:![X20]:![X21]:![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![X28]:![X29]:![X30]:![X31]:![X32]:![X33]:![X34]:![X35]:![X36]:![X37]:![X38]:![X39]:![X40]:![X41]:![X42]:![X43]:![X44]:![X45]:![X46]:![X47]:![X48]:![X49]:![X50]:![X51]:![X52]:![X53]:![X54]:![X55]:![X56]:![X57]:![X58]:![X59]:![X60]:![X62]:![X63]:![X64]:![X65]:((((((((((((~(leq(host(X65),esk14_7(X18,X19,X20,X62,X63,X64,X65)))&leq(s(zero),esk14_7(X18,X19,X20,X62,X63,X64,X65)))&(~(setIn(esk14_7(X18,X19,X20,X62,X63,X64,X65),index(down,host(X65))))&~(esk14_7(X18,X19,X20,X62,X63,X64,X65)=host(X64))))|~(setIn(X65,alive)))|~(leq(nbr_proc,s(host(X65)))))|~(elem(m_Down(X64),queue(host(X65)))))|~(elem(m_Down(X63),queue(host(X65)))))|~(host(X63)=s(host(X65))))|~(index(status,host(X65))=elec_1))|((~(setIn(X62,alive))|~(index(ldr,host(X62))=host(X62)))|~(index(status,host(X62))=norm)))&((((((((((~(leq(host(X60),esk13_7(X18,X19,X20,X57,X58,X59,X60)))&leq(s(zero),esk13_7(X18,X19,X20,X57,X58,X59,X60)))&(~(setIn(esk13_7(X18,X19,X20,X57,X58,X59,X60),index(down,host(X60))))&~(esk13_7(X18,X19,X20,X57,X58,X59,X60)=host(X59))))|~(setIn(X57,alive)))|~(leq(host(X57),host(X60))))|~(elem(m_Down(X59),queue(host(X60)))))|~(host(X58)=host(X60)))|~(index(status,host(X57))=elec_2))|~(index(status,host(X60))=elec_1))|~(elem(m_Ack(X57,X58),queue(host(X57)))))&(((((((host(X56)=host(X55)|~(setIn(X56,alive)))|~(elem(m_Down(X54),queue(host(X56)))))|~(host(X55)=host(X54)))|~(index(status,host(X56))=wait))|~(host(index(elid,host(X56)))=host(X55)))|((~(setIn(X55,alive))|~(index(status,host(X55))=norm))|~(index(ldr,host(X55))=host(X55))))&(((((((host(X53)=host(X52)|~(setIn(X53,alive)))|~(elem(m_Down(X51),queue(host(X53)))))|~(host(X52)=host(X51)))|~(index(status,host(X53))=norm))|~(index(ldr,host(X53))=host(X52)))|((~(setIn(X52,alive))|~(index(status,host(X52))=norm))|~(index(ldr,host(X52))=host(X52))))&((((((host(X49)=host(X47)|~(setIn(X47,alive)))|~(setIn(X49,alive)))|~(host(X48)=host(X47)))|~(host(X50)=host(X49)))|(~(elem(m_Down(X50),queue(host(X47))))|~(setIn(host(X48),index(down,host(X49))))))&((((((host(X45)=host(X43)|~(setIn(X43,alive)))|~(setIn(X45,alive)))|~(host(X44)=host(X43)))|~(host(X46)=host(X45)))|(~(elem(m_Down(X46),queue(host(X43))))|~(elem(m_Down(X44),queue(host(X45))))))&(((((leq(host(X41),host(X42))|~(setIn(X42,alive)))|~(elem(m_Down(X41),queue(host(X42)))))|~(host(X41)=host(X40)))|((~(setIn(X40,alive))|~(index(ldr,host(X40))=host(X40)))|~(index(status,host(X40))=norm)))&(((((((~(setIn(X38,alive))|~(setIn(X39,alive)))|~(index(ldr,host(X38))=host(X38)))|~(index(status,host(X38))=norm))|~(index(status,host(X39))=norm))|~(index(ldr,host(X39))=host(X39)))|X39=X38)&(((((~(setIn(X37,alive))|~(host(X36)=host(X37)))|~(index(status,host(X37))=norm))|~(index(ldr,host(X37))=host(X37)))|(~(setIn(X35,alive))|~(elem(m_Down(X36),queue(host(X35))))))&((((((~(setIn(X32,alive))|~(setIn(X34,alive)))|~(elem(m_Down(X33),queue(host(X32)))))|~(host(X34)=host(X33)))|~(index(status,host(X34))=elec_2))|leq(index(pendack,host(X34)),host(X32)))&((((~(setIn(X31,alive))|~(index(status,host(X31))=norm))|~(index(ldr,host(X31))=host(X31)))|(~(setIn(X30,alive))|~(setIn(host(X31),index(down,host(X30))))))&(((((~(setIn(X28,alive))|~(setIn(X29,alive)))|~(setIn(host(X29),index(down,host(X28)))))|~(index(status,host(X29))=elec_2))|leq(index(pendack,host(X29)),host(X28)))&((((~(index(status,host(X27))=elec_1)&~(index(status,host(X27))=elec_2))|~(setIn(X27,alive)))|index(elid,host(X27))=X27)&(((X26=X25|~(host(X26)=host(X25)))|(~(setIn(X25,alive))|~(setIn(X26,alive))))&((~(elem(m_Down(X24),queue(host(X23))))|~(host(X24)=host(X23)))&(~(elem(m_Ldr(X22),queue(host(X21))))|~(leq(host(X21),host(X22)))))))))))))))))))&queue(host(X20))=cons(m_Down(X19),X18))|~(epred1_3(X20,X19,X18))),inference(shift_quantors,[status(thm)],[292])).
% fof(294, plain,![X18]:![X19]:![X20]:![X21]:![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:![X28]:![X29]:![X30]:![X31]:![X32]:![X33]:![X34]:![X35]:![X36]:![X37]:![X38]:![X39]:![X40]:![X41]:![X42]:![X43]:![X44]:![X45]:![X46]:![X47]:![X48]:![X49]:![X50]:![X51]:![X52]:![X53]:![X54]:![X55]:![X56]:![X57]:![X58]:![X59]:![X60]:![X62]:![X63]:![X64]:![X65]:((((((((((((~(leq(host(X65),esk14_7(X18,X19,X20,X62,X63,X64,X65)))|~(setIn(X65,alive)))|~(leq(nbr_proc,s(host(X65)))))|~(elem(m_Down(X64),queue(host(X65)))))|~(elem(m_Down(X63),queue(host(X65)))))|~(host(X63)=s(host(X65))))|~(index(status,host(X65))=elec_1))|((~(setIn(X62,alive))|~(index(ldr,host(X62))=host(X62)))|~(index(status,host(X62))=norm)))|~(epred1_3(X20,X19,X18)))&((((((((leq(s(zero),esk14_7(X18,X19,X20,X62,X63,X64,X65))|~(setIn(X65,alive)))|~(leq(nbr_proc,s(host(X65)))))|~(elem(m_Down(X64),queue(host(X65)))))|~(elem(m_Down(X63),queue(host(X65)))))|~(host(X63)=s(host(X65))))|~(index(status,host(X65))=elec_1))|((~(setIn(X62,alive))|~(index(ldr,host(X62))=host(X62)))|~(index(status,host(X62))=norm)))|~(epred1_3(X20,X19,X18))))&(((((((((~(setIn(esk14_7(X18,X19,X20,X62,X63,X64,X65),index(down,host(X65))))|~(setIn(X65,alive)))|~(leq(nbr_proc,s(host(X65)))))|~(elem(m_Down(X64),queue(host(X65)))))|~(elem(m_Down(X63),queue(host(X65)))))|~(host(X63)=s(host(X65))))|~(index(status,host(X65))=elec_1))|((~(setIn(X62,alive))|~(index(ldr,host(X62))=host(X62)))|~(index(status,host(X62))=norm)))|~(epred1_3(X20,X19,X18)))&((((((((~(esk14_7(X18,X19,X20,X62,X63,X64,X65)=host(X64))|~(setIn(X65,alive)))|~(leq(nbr_proc,s(host(X65)))))|~(elem(m_Down(X64),queue(host(X65)))))|~(elem(m_Down(X63),queue(host(X65)))))|~(host(X63)=s(host(X65))))|~(index(status,host(X65))=elec_1))|((~(setIn(X62,alive))|~(index(ldr,host(X62))=host(X62)))|~(index(status,host(X62))=norm)))|~(epred1_3(X20,X19,X18)))))&(((((((((((~(leq(host(X60),esk13_7(X18,X19,X20,X57,X58,X59,X60)))|~(setIn(X57,alive)))|~(leq(host(X57),host(X60))))|~(elem(m_Down(X59),queue(host(X60)))))|~(host(X58)=host(X60)))|~(index(status,host(X57))=elec_2))|~(index(status,host(X60))=elec_1))|~(elem(m_Ack(X57,X58),queue(host(X57)))))|~(epred1_3(X20,X19,X18)))&((((((((leq(s(zero),esk13_7(X18,X19,X20,X57,X58,X59,X60))|~(setIn(X57,alive)))|~(leq(host(X57),host(X60))))|~(elem(m_Down(X59),queue(host(X60)))))|~(host(X58)=host(X60)))|~(index(status,host(X57))=elec_2))|~(index(status,host(X60))=elec_1))|~(elem(m_Ack(X57,X58),queue(host(X57)))))|~(epred1_3(X20,X19,X18))))&(((((((((~(setIn(esk13_7(X18,X19,X20,X57,X58,X59,X60),index(down,host(X60))))|~(setIn(X57,alive)))|~(leq(host(X57),host(X60))))|~(elem(m_Down(X59),queue(host(X60)))))|~(host(X58)=host(X60)))|~(index(status,host(X57))=elec_2))|~(index(status,host(X60))=elec_1))|~(elem(m_Ack(X57,X58),queue(host(X57)))))|~(epred1_3(X20,X19,X18)))&((((((((~(esk13_7(X18,X19,X20,X57,X58,X59,X60)=host(X59))|~(setIn(X57,alive)))|~(leq(host(X57),host(X60))))|~(elem(m_Down(X59),queue(host(X60)))))|~(host(X58)=host(X60)))|~(index(status,host(X57))=elec_2))|~(index(status,host(X60))=elec_1))|~(elem(m_Ack(X57,X58),queue(host(X57)))))|~(epred1_3(X20,X19,X18)))))&((((((((host(X56)=host(X55)|~(setIn(X56,alive)))|~(elem(m_Down(X54),queue(host(X56)))))|~(host(X55)=host(X54)))|~(index(status,host(X56))=wait))|~(host(index(elid,host(X56)))=host(X55)))|((~(setIn(X55,alive))|~(index(status,host(X55))=norm))|~(index(ldr,host(X55))=host(X55))))|~(epred1_3(X20,X19,X18)))&((((((((host(X53)=host(X52)|~(setIn(X53,alive)))|~(elem(m_Down(X51),queue(host(X53)))))|~(host(X52)=host(X51)))|~(index(status,host(X53))=norm))|~(index(ldr,host(X53))=host(X52)))|((~(setIn(X52,alive))|~(index(status,host(X52))=norm))|~(index(ldr,host(X52))=host(X52))))|~(epred1_3(X20,X19,X18)))&(((((((host(X49)=host(X47)|~(setIn(X47,alive)))|~(setIn(X49,alive)))|~(host(X48)=host(X47)))|~(host(X50)=host(X49)))|(~(elem(m_Down(X50),queue(host(X47))))|~(setIn(host(X48),index(down,host(X49))))))|~(epred1_3(X20,X19,X18)))&(((((((host(X45)=host(X43)|~(setIn(X43,alive)))|~(setIn(X45,alive)))|~(host(X44)=host(X43)))|~(host(X46)=host(X45)))|(~(elem(m_Down(X46),queue(host(X43))))|~(elem(m_Down(X44),queue(host(X45))))))|~(epred1_3(X20,X19,X18)))&((((((leq(host(X41),host(X42))|~(setIn(X42,alive)))|~(elem(m_Down(X41),queue(host(X42)))))|~(host(X41)=host(X40)))|((~(setIn(X40,alive))|~(index(ldr,host(X40))=host(X40)))|~(index(status,host(X40))=norm)))|~(epred1_3(X20,X19,X18)))&((((((((~(setIn(X38,alive))|~(setIn(X39,alive)))|~(index(ldr,host(X38))=host(X38)))|~(index(status,host(X38))=norm))|~(index(status,host(X39))=norm))|~(index(ldr,host(X39))=host(X39)))|X39=X38)|~(epred1_3(X20,X19,X18)))&((((((~(setIn(X37,alive))|~(host(X36)=host(X37)))|~(index(status,host(X37))=norm))|~(index(ldr,host(X37))=host(X37)))|(~(setIn(X35,alive))|~(elem(m_Down(X36),queue(host(X35))))))|~(epred1_3(X20,X19,X18)))&(((((((~(setIn(X32,alive))|~(setIn(X34,alive)))|~(elem(m_Down(X33),queue(host(X32)))))|~(host(X34)=host(X33)))|~(index(status,host(X34))=elec_2))|leq(index(pendack,host(X34)),host(X32)))|~(epred1_3(X20,X19,X18)))&(((((~(setIn(X31,alive))|~(index(status,host(X31))=norm))|~(index(ldr,host(X31))=host(X31)))|(~(setIn(X30,alive))|~(setIn(host(X31),index(down,host(X30))))))|~(epred1_3(X20,X19,X18)))&((((((~(setIn(X28,alive))|~(setIn(X29,alive)))|~(setIn(host(X29),index(down,host(X28)))))|~(index(status,host(X29))=elec_2))|leq(index(pendack,host(X29)),host(X28)))|~(epred1_3(X20,X19,X18)))&(((((~(index(status,host(X27))=elec_1)|~(setIn(X27,alive)))|index(elid,host(X27))=X27)|~(epred1_3(X20,X19,X18)))&(((~(index(status,host(X27))=elec_2)|~(setIn(X27,alive)))|index(elid,host(X27))=X27)|~(epred1_3(X20,X19,X18))))&((((X26=X25|~(host(X26)=host(X25)))|(~(setIn(X25,alive))|~(setIn(X26,alive))))|~(epred1_3(X20,X19,X18)))&(((~(elem(m_Down(X24),queue(host(X23))))|~(host(X24)=host(X23)))|~(epred1_3(X20,X19,X18)))&((~(elem(m_Ldr(X22),queue(host(X21))))|~(leq(host(X21),host(X22))))|~(epred1_3(X20,X19,X18))))))))))))))))))&(queue(host(X20))=cons(m_Down(X19),X18)|~(epred1_3(X20,X19,X18)))),inference(distribute,[status(thm)],[293])).
% cnf(295,plain,(queue(host(X1))=cons(m_Down(X2),X3)|~epred1_3(X1,X2,X3)),inference(split_conjunct,[status(thm)],[294])).
% cnf(302,plain,(~epred1_3(X1,X2,X3)|~setIn(host(X4),index(down,host(X5)))|~setIn(X5,alive)|index(ldr,host(X4))!=host(X4)|index(status,host(X4))!=norm|~setIn(X4,alive)),inference(split_conjunct,[status(thm)],[294])).
% cnf(304,plain,(~epred1_3(X1,X2,X3)|~elem(m_Down(X4),queue(host(X5)))|~setIn(X5,alive)|index(ldr,host(X6))!=host(X6)|index(status,host(X6))!=norm|host(X4)!=host(X6)|~setIn(X6,alive)),inference(split_conjunct,[status(thm)],[294])).
% cnf(319,negated_conjecture,(s(host(esk6_0))=host(esk10_0)),inference(rw,[status(thm)],[284,279,theory(equality)])).
% cnf(336,negated_conjecture,(leq(nbr_proc,host(esk10_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[285,279,theory(equality)]),319,theory(equality)])).
% cnf(341,negated_conjecture,(index(status,host(esk6_0))=elec_1),inference(rw,[status(thm)],[283,279,theory(equality)])).
% cnf(342,negated_conjecture,(host(esk7_0)!=esk8_0|$false),inference(rw,[status(thm)],[275,341,theory(equality)])).
% cnf(343,negated_conjecture,(host(esk7_0)!=esk8_0),inference(cn,[status(thm)],[342,theory(equality)])).
% cnf(344,negated_conjecture,($false|~leq(host(esk6_0),esk8_0)),inference(rw,[status(thm)],[278,341,theory(equality)])).
% cnf(345,negated_conjecture,(~leq(host(esk6_0),esk8_0)),inference(cn,[status(thm)],[344,theory(equality)])).
% cnf(377,negated_conjecture,(host(esk10_0)=nbr_proc|~leq(host(esk10_0),nbr_proc)),inference(spm,[status(thm)],[130,336,theory(equality)])).
% cnf(383,negated_conjecture,(host(esk10_0)=nbr_proc|$false),inference(rw,[status(thm)],[377,83,theory(equality)])).
% cnf(384,negated_conjecture,(host(esk10_0)=nbr_proc),inference(cn,[status(thm)],[383,theory(equality)])).
% cnf(385,negated_conjecture,($false|~setIn(esk8_0,index(down,host(esk6_0)))),inference(rw,[status(thm)],[276,341,theory(equality)])).
% cnf(386,negated_conjecture,(~setIn(esk8_0,index(down,host(esk6_0)))),inference(cn,[status(thm)],[385,theory(equality)])).
% cnf(415,plain,(elem(X1,cons(X1,X2))),inference(er,[status(thm)],[117,theory(equality)])).
% cnf(417,negated_conjecture,(leq(s(zero),esk8_0)|$false),inference(rw,[status(thm)],[277,341,theory(equality)])).
% cnf(418,negated_conjecture,(leq(s(zero),esk8_0)),inference(cn,[status(thm)],[417,theory(equality)])).
% cnf(441,negated_conjecture,(elem(m_Down(esk11_0),cons(X1,esk4_0))),inference(spm,[status(thm)],[116,286,theory(equality)])).
% cnf(442,negated_conjecture,(elem(m_Down(esk10_0),cons(X1,esk4_0))),inference(spm,[status(thm)],[116,287,theory(equality)])).
% cnf(490,negated_conjecture,(cons(m_Down(esk7_0),esk4_0)=queue(host(esk6_0))),inference(spm,[status(thm)],[295,270,theory(equality)])).
% cnf(498,negated_conjecture,(host(esk7_0)=X1|host(esk11_0)=X1|leq(host(esk6_0),X1)|setIn(X1,index(down,host(esk6_0)))|~leq(s(zero),X1)),inference(rw,[status(thm)],[289,279,theory(equality)])).
% cnf(502,negated_conjecture,(host(esk11_0)=esk8_0|host(esk7_0)=esk8_0|setIn(esk8_0,index(down,host(esk6_0)))|leq(host(esk6_0),esk8_0)),inference(spm,[status(thm)],[498,418,theory(equality)])).
% cnf(505,negated_conjecture,(host(esk11_0)=esk8_0|setIn(esk8_0,index(down,host(esk6_0)))|leq(host(esk6_0),esk8_0)),inference(sr,[status(thm)],[502,343,theory(equality)])).
% cnf(506,negated_conjecture,(host(esk11_0)=esk8_0|leq(host(esk6_0),esk8_0)),inference(sr,[status(thm)],[505,386,theory(equality)])).
% cnf(507,negated_conjecture,(host(esk11_0)=esk8_0),inference(sr,[status(thm)],[506,345,theory(equality)])).
% fof(545, plain,(~(epred6_0)<=>![X4]:![X5]:((((~(index(ldr,host(X4))=host(X4))|~(index(status,host(X4))=norm))|~(setIn(host(X4),index(down,host(X5)))))|~(setIn(X4,alive)))|~(setIn(X5,alive)))),introduced(definition),['split']).
% cnf(546,plain,(epred6_0|~setIn(X4,alive)|~setIn(X5,alive)|~setIn(host(X4),index(down,host(X5)))|index(status,host(X4))!=norm|index(ldr,host(X4))!=host(X4)),inference(split_equiv,[status(thm)],[545])).
% fof(547, plain,(~(epred7_0)<=>![X2]:![X3]:![X1]:~(epred1_3(X1,X2,X3))),introduced(definition),['split']).
% cnf(548,plain,(epred7_0|~epred1_3(X1,X2,X3)),inference(split_equiv,[status(thm)],[547])).
% cnf(549,plain,(~epred7_0|~epred6_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[302,545,theory(equality)]),547,theory(equality)]),['split']).
% fof(550, plain,(~(epred8_0)<=>![X5]:![X6]:![X4]:(((((~(index(ldr,host(X6))=host(X6))|~(index(status,host(X6))=norm))|~(host(X4)=host(X6)))|~(setIn(X5,alive)))|~(setIn(X6,alive)))|~(elem(m_Down(X4),queue(host(X5)))))),introduced(definition),['split']).
% cnf(551,plain,(epred8_0|~elem(m_Down(X4),queue(host(X5)))|~setIn(X5,alive)|~setIn(X6,alive)|host(X4)!=host(X6)|index(status,host(X6))!=norm|index(ldr,host(X6))!=host(X6)),inference(split_equiv,[status(thm)],[550])).
% fof(552, plain,(~(epred9_0)<=>![X2]:![X3]:![X1]:~(epred1_3(X1,X2,X3))),introduced(definition),['split']).
% cnf(553,plain,(epred9_0|~epred1_3(X1,X2,X3)),inference(split_equiv,[status(thm)],[552])).
% cnf(554,plain,(~epred9_0|~epred8_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[304,550,theory(equality)]),552,theory(equality)]),['split']).
% cnf(655,negated_conjecture,(s(host(esk6_0))=nbr_proc),inference(rw,[status(thm)],[319,384,theory(equality)])).
% cnf(666,negated_conjecture,(nbr_proc=X1|leq(X1,host(esk6_0))|~leq(X1,nbr_proc)),inference(spm,[status(thm)],[143,655,theory(equality)])).
% cnf(699,negated_conjecture,(esk8_0=X1|host(esk7_0)=X1|setIn(X1,index(down,host(esk6_0)))|leq(host(esk6_0),X1)|~leq(s(zero),X1)),inference(rw,[status(thm)],[498,507,theory(equality)])).
% cnf(710,negated_conjecture,(host(esk7_0)=host(X1)|esk8_0=host(X1)|setIn(host(X1),index(down,host(esk6_0)))|leq(host(esk6_0),host(X1))),inference(spm,[status(thm)],[699,80,theory(equality)])).
% cnf(719,negated_conjecture,(epred7_0),inference(spm,[status(thm)],[548,270,theory(equality)])).
% cnf(720,plain,($false|~epred6_0),inference(rw,[status(thm)],[549,719,theory(equality)])).
% cnf(721,plain,(~epred6_0),inference(cn,[status(thm)],[720,theory(equality)])).
% cnf(723,negated_conjecture,(epred9_0),inference(spm,[status(thm)],[553,270,theory(equality)])).
% cnf(724,plain,($false|~epred8_0),inference(rw,[status(thm)],[554,723,theory(equality)])).
% cnf(725,plain,(~epred8_0),inference(cn,[status(thm)],[724,theory(equality)])).
% cnf(2282,negated_conjecture,(elem(m_Down(esk7_0),queue(host(esk6_0)))),inference(spm,[status(thm)],[415,490,theory(equality)])).
% cnf(2286,negated_conjecture,(elem(m_Down(esk11_0),queue(host(esk6_0)))),inference(spm,[status(thm)],[441,490,theory(equality)])).
% cnf(2287,negated_conjecture,(elem(m_Down(esk10_0),queue(host(esk6_0)))),inference(spm,[status(thm)],[442,490,theory(equality)])).
% cnf(4399,negated_conjecture,(nbr_proc=host(X1)|leq(host(X1),host(esk6_0))),inference(spm,[status(thm)],[666,83,theory(equality)])).
% cnf(6694,plain,(~setIn(X4,alive)|~setIn(X5,alive)|~setIn(host(X4),index(down,host(X5)))|index(status,host(X4))!=norm|index(ldr,host(X4))!=host(X4)),inference(sr,[status(thm)],[546,721,theory(equality)])).
% cnf(6819,plain,(~elem(m_Down(X4),queue(host(X5)))|~setIn(X5,alive)|~setIn(X6,alive)|host(X4)!=host(X6)|index(status,host(X6))!=norm|index(ldr,host(X6))!=host(X6)),inference(sr,[status(thm)],[551,725,theory(equality)])).
% cnf(6824,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|host(esk11_0)!=host(X1)|~setIn(esk6_0,alive)|~setIn(X1,alive)),inference(spm,[status(thm)],[6819,2286,theory(equality)])).
% cnf(6825,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|host(esk10_0)!=host(X1)|~setIn(esk6_0,alive)|~setIn(X1,alive)),inference(spm,[status(thm)],[6819,2287,theory(equality)])).
% cnf(6826,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|host(esk7_0)!=host(X1)|~setIn(esk6_0,alive)|~setIn(X1,alive)),inference(spm,[status(thm)],[6819,2282,theory(equality)])).
% cnf(6827,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|esk8_0!=host(X1)|~setIn(esk6_0,alive)|~setIn(X1,alive)),inference(rw,[status(thm)],[6824,507,theory(equality)])).
% cnf(6828,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|esk8_0!=host(X1)|$false|~setIn(X1,alive)),inference(rw,[status(thm)],[6827,271,theory(equality)])).
% cnf(6829,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|esk8_0!=host(X1)|~setIn(X1,alive)),inference(cn,[status(thm)],[6828,theory(equality)])).
% cnf(6830,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|nbr_proc!=host(X1)|~setIn(esk6_0,alive)|~setIn(X1,alive)),inference(rw,[status(thm)],[6825,384,theory(equality)])).
% cnf(6831,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|nbr_proc!=host(X1)|$false|~setIn(X1,alive)),inference(rw,[status(thm)],[6830,271,theory(equality)])).
% cnf(6832,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|nbr_proc!=host(X1)|~setIn(X1,alive)),inference(cn,[status(thm)],[6831,theory(equality)])).
% cnf(6833,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|host(esk7_0)!=host(X1)|$false|~setIn(X1,alive)),inference(rw,[status(thm)],[6826,271,theory(equality)])).
% cnf(6834,negated_conjecture,(index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|host(esk7_0)!=host(X1)|~setIn(X1,alive)),inference(cn,[status(thm)],[6833,theory(equality)])).
% cnf(7077,negated_conjecture,(index(ldr,host(esk9_0))!=host(esk9_0)|host(esk9_0)!=nbr_proc|~setIn(esk9_0,alive)),inference(spm,[status(thm)],[6832,280,theory(equality)])).
% cnf(7079,negated_conjecture,($false|host(esk9_0)!=nbr_proc|~setIn(esk9_0,alive)),inference(rw,[status(thm)],[7077,281,theory(equality)])).
% cnf(7080,negated_conjecture,($false|host(esk9_0)!=nbr_proc|$false),inference(rw,[status(thm)],[7079,282,theory(equality)])).
% cnf(7081,negated_conjecture,(host(esk9_0)!=nbr_proc),inference(cn,[status(thm)],[7080,theory(equality)])).
% cnf(14298,negated_conjecture,(host(esk6_0)=host(X1)|host(X1)=nbr_proc|~leq(host(esk6_0),host(X1))),inference(spm,[status(thm)],[130,4399,theory(equality)])).
% cnf(16228,plain,(host(esk7_0)=host(X1)|host(X1)=esk8_0|leq(host(esk6_0),host(X1))|index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|~setIn(X1,alive)|~setIn(esk6_0,alive)),inference(spm,[status(thm)],[6694,710,theory(equality)])).
% cnf(16235,plain,(host(esk7_0)=host(X1)|host(X1)=esk8_0|leq(host(esk6_0),host(X1))|index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|~setIn(X1,alive)|$false),inference(rw,[status(thm)],[16228,271,theory(equality)])).
% cnf(16236,plain,(host(esk7_0)=host(X1)|host(X1)=esk8_0|leq(host(esk6_0),host(X1))|index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|~setIn(X1,alive)),inference(cn,[status(thm)],[16235,theory(equality)])).
% cnf(1841439,plain,(host(esk7_0)=host(X1)|leq(host(esk6_0),host(X1))|index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|~setIn(X1,alive)),inference(csr,[status(thm)],[16236,6829])).
% cnf(1841440,plain,(leq(host(esk6_0),host(X1))|index(ldr,host(X1))!=host(X1)|index(status,host(X1))!=norm|~setIn(X1,alive)),inference(csr,[status(thm)],[1841439,6834])).
% cnf(1841469,negated_conjecture,(leq(host(esk6_0),host(esk9_0))|index(ldr,host(esk9_0))!=host(esk9_0)|~setIn(esk9_0,alive)),inference(spm,[status(thm)],[1841440,280,theory(equality)])).
% cnf(1841475,negated_conjecture,(leq(host(esk6_0),host(esk9_0))|$false|~setIn(esk9_0,alive)),inference(rw,[status(thm)],[1841469,281,theory(equality)])).
% cnf(1841476,negated_conjecture,(leq(host(esk6_0),host(esk9_0))|$false|$false),inference(rw,[status(thm)],[1841475,282,theory(equality)])).
% cnf(1841477,negated_conjecture,(leq(host(esk6_0),host(esk9_0))),inference(cn,[status(thm)],[1841476,theory(equality)])).
% cnf(1841951,negated_conjecture,(host(esk6_0)=host(esk9_0)|host(esk9_0)=nbr_proc),inference(spm,[status(thm)],[14298,1841477,theory(equality)])).
% cnf(1842340,negated_conjecture,(host(esk9_0)=host(esk6_0)),inference(sr,[status(thm)],[1841951,7081,theory(equality)])).
% cnf(1842726,negated_conjecture,(elec_1=norm),inference(rw,[status(thm)],[inference(rw,[status(thm)],[280,1842340,theory(equality)]),341,theory(equality)])).
% cnf(1842727,negated_conjecture,($false),inference(sr,[status(thm)],[1842726,86,theory(equality)])).
% cnf(1842728,negated_conjecture,($false),1842727,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 12393
% # ...of these trivial : 401
% # ...subsumed : 8536
% # ...remaining for further processing: 3456
% # Other redundant clauses eliminated : 20
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 110
% # Backward-rewritten : 46
% # Generated clauses : 1136398
% # ...of the previous two non-trivial : 588752
% # Contextual simplify-reflections : 2104
% # Paramodulations : 1135937
% # Factorizations : 396
% # Equation resolutions : 35
% # Current number of processed clauses: 3291
% # Positive orientable unit clauses: 365
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 46
% # Non-unit-clauses : 2880
% # Current number of unprocessed clauses: 529483
% # ...number of literals in the above : 2240695
% # Clause-clause subsumption calls (NU) : 752444
% # Rec. Clause-clause subsumption calls : 555219
% # Unit Clause-clause subsumption calls : 4618
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6261
% # Indexed BW rewrite successes : 23
% # Backwards rewriting index: 736 leaves, 2.92+/-5.689 terms/leaf
% # Paramod-from index: 250 leaves, 2.84+/-7.049 terms/leaf
% # Paramod-into index: 560 leaves, 2.82+/-5.910 terms/leaf
% # -------------------------------------------------
% # User time : 27.975 s
% # System time : 0.960 s
% # Total time : 28.935 s
% # Maximum resident set size: 0 pages
% PrfWatch: 48.45 CPU 50.42 WC
% FINAL PrfWatch: 48.45 CPU 50.42 WC
% SZS output end Solution for /tmp/SystemOnTPTP2988/SWV481+1.tptp
%
%------------------------------------------------------------------------------