TSTP Solution File: SWV478+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWV478+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 : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 09:13:37 EST 2010

% Result   : Theorem 19.25s
% Output   : Solution 19.25s
% 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/SystemOnTPTP6095/SWV478+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP6095/SWV478+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP6095/SWV478+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 6227
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.01 WC
% PrfWatch: 3.72 CPU 4.02 WC
% PrfWatch: 5.61 CPU 6.03 WC
% PrfWatch: 7.60 CPU 8.03 WC
% PrfWatch: 9.59 CPU 10.04 WC
% # Preprocessing time     : 0.024 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.58 CPU 12.05 WC
% PrfWatch: 13.57 CPU 14.05 WC
% PrfWatch: 15.57 CPU 16.06 WC
% PrfWatch: 17.57 CPU 18.07 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(13, axiom,![X3]:![X4]:~(m_Down(X3)=m_Ldr(X4)),file('/tmp/SRASS.s.p', axiom_18)).
% fof(20, axiom,![X3]:![X4]:![X2]:(elem(X3,cons(X4,X2))<=>(X3=X4|elem(X3,X2))),file('/tmp/SRASS.s.p', axiom_46)).
% fof(21, axiom,![X3]:![X4]:![X2]:(elem(X3,snoc(X2,X4))<=>(X3=X4|elem(X3,X2))),file('/tmp/SRASS.s.p', axiom_47)).
% fof(22, axiom,![X3]:~(leq(s(X3),X3)),file('/tmp/SRASS.s.p', axiom_58)).
% fof(25, axiom,![X3]:![X4]:((leq(X3,X4)&leq(X4,X3))<=>X3=X4),file('/tmp/SRASS.s.p', axiom_61)).
% fof(28, 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(status,host(X3))=elec_2&host(X4)=index(pendack,host(X3)))=>(leq(nbr_proc,index(pendack,host(X3)))=>![X5]:(setIn(host(X5),index(acks,host(X3)))=>![X17]:(host(X3)=host(X17)=>![X18]:![X19]:![X20]:(host(X5)=host(X20)=>(~(host(X3)=host(X20))=>(((((((![X21]:((~(leq(host(X20),X21))&leq(s(zero),X21))=>(setIn(X21,index(down,host(X20)))|X21=host(X19)))&setIn(X20,alive))&leq(nbr_proc,s(host(X20))))&elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X3))))&elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X3))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)=>~((setIn(X17,alive)&host(X3)=host(X17))))))))))))),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(status,host(X3))=elec_2&host(X4)=index(pendack,host(X3)))=>(leq(nbr_proc,index(pendack,host(X3)))=>![X5]:(setIn(host(X5),index(acks,host(X3)))=>![X17]:(host(X3)=host(X17)=>![X18]:![X19]:![X20]:(host(X5)=host(X20)=>(~(host(X3)=host(X20))=>(((((((![X21]:((~(leq(host(X20),X21))&leq(s(zero),X21))=>(setIn(X21,index(down,host(X20)))|X21=host(X19)))&setIn(X20,alive))&leq(nbr_proc,s(host(X20))))&elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X3))))&elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X3))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)=>~((setIn(X17,alive)&host(X3)=host(X17)))))))))))))),inference(assume_negation,[status(cth)],[67])).
% fof(69, plain,![X3]:~(leq(s(X3),X3)),inference(fof_simplification,[status(thm)],[22,theory(equality)])).
% 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(status,host(X3))=elec_2&host(X4)=index(pendack,host(X3)))=>(leq(nbr_proc,index(pendack,host(X3)))=>![X5]:(setIn(host(X5),index(acks,host(X3)))=>![X17]:(host(X3)=host(X17)=>![X18]:![X19]:![X20]:(host(X5)=host(X20)=>(~(host(X3)=host(X20))=>(((((((![X21]:((~(leq(host(X20),X21))&leq(s(zero),X21))=>(setIn(X21,index(down,host(X20)))|X21=host(X19)))&setIn(X20,alive))&leq(nbr_proc,s(host(X20))))&elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X3))))&elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X3))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)=>~((setIn(X17,alive)&host(X3)=host(X17)))))))))))))),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(status,host(X3))=elec_2&host(X4)=index(pendack,host(X3)))=>(leq(nbr_proc,index(pendack,host(X3)))=>![X5]:(setIn(host(X5),index(acks,host(X3)))=>![X17]:(host(X3)=host(X17)=>![X18]:![X19]:![X20]:(host(X5)=host(X20)=>(~(host(X3)=host(X20))=>(((((((![X21]:((~(leq(host(X20),X21))&leq(s(zero),X21))=>(setIn(X21,index(down,host(X20)))|X21=host(X19)))&setIn(X20,alive))&leq(nbr_proc,s(host(X20))))&elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X3))))&elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X3))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)=>~((setIn(X17,alive)&host(X3)=host(X17)))))))))))))),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])).
% fof(94, plain,![X5]:![X6]:~(m_Down(X5)=m_Ldr(X6)),inference(variable_rename,[status(thm)],[13])).
% cnf(95,plain,(m_Down(X1)!=m_Ldr(X2)),inference(split_conjunct,[status(thm)],[94])).
% fof(115, 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)],[20])).
% fof(116, 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)],[115])).
% fof(117, 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)],[116])).
% cnf(119,plain,(elem(X1,cons(X2,X3))|X1!=X2),inference(split_conjunct,[status(thm)],[117])).
% fof(121, plain,![X3]:![X4]:![X2]:((~(elem(X3,snoc(X2,X4)))|(X3=X4|elem(X3,X2)))&((~(X3=X4)&~(elem(X3,X2)))|elem(X3,snoc(X2,X4)))),inference(fof_nnf,[status(thm)],[21])).
% fof(122, plain,![X5]:![X6]:![X7]:((~(elem(X5,snoc(X7,X6)))|(X5=X6|elem(X5,X7)))&((~(X5=X6)&~(elem(X5,X7)))|elem(X5,snoc(X7,X6)))),inference(variable_rename,[status(thm)],[121])).
% fof(123, plain,![X5]:![X6]:![X7]:((~(elem(X5,snoc(X7,X6)))|(X5=X6|elem(X5,X7)))&((~(X5=X6)|elem(X5,snoc(X7,X6)))&(~(elem(X5,X7))|elem(X5,snoc(X7,X6))))),inference(distribute,[status(thm)],[122])).
% cnf(126,plain,(elem(X1,X2)|X1=X3|~elem(X1,snoc(X2,X3))),inference(split_conjunct,[status(thm)],[123])).
% fof(127, plain,![X4]:~(leq(s(X4),X4)),inference(variable_rename,[status(thm)],[69])).
% cnf(128,plain,(~leq(s(X1),X1)),inference(split_conjunct,[status(thm)],[127])).
% fof(133, plain,![X3]:![X4]:(((~(leq(X3,X4))|~(leq(X4,X3)))|X3=X4)&(~(X3=X4)|(leq(X3,X4)&leq(X4,X3)))),inference(fof_nnf,[status(thm)],[25])).
% fof(134, plain,![X5]:![X6]:(((~(leq(X5,X6))|~(leq(X6,X5)))|X5=X6)&(~(X5=X6)|(leq(X5,X6)&leq(X6,X5)))),inference(variable_rename,[status(thm)],[133])).
% fof(135, 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)],[134])).
% cnf(138,plain,(X1=X2|~leq(X2,X1)|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[135])).
% fof(146, 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)],[28])).
% fof(147, 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)],[146])).
% fof(148, 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)],[147])).
% cnf(151,plain,(leq(X1,X2)|X1=s(X2)|~leq(X1,s(X2))),inference(split_conjunct,[status(thm)],[148])).
% fof(265, negated_conjecture,?[X12]:?[X13]:?[X3]:?[X4]:(epred1_3(X3,X4,X12)&(setIn(X3,alive)&(leq(host(X3),host(X4))&((index(status,host(X3))=elec_2&host(X4)=index(pendack,host(X3)))&(leq(nbr_proc,index(pendack,host(X3)))&?[X5]:(setIn(host(X5),index(acks,host(X3)))&?[X17]:(host(X3)=host(X17)&?[X18]:?[X19]:?[X20]:(host(X5)=host(X20)&(~(host(X3)=host(X20))&(((((((![X21]:((leq(host(X20),X21)|~(leq(s(zero),X21)))|(setIn(X21,index(down,host(X20)))|X21=host(X19)))&setIn(X20,alive))&leq(nbr_proc,s(host(X20))))&elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X3))))&elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X3))))&host(X18)=s(host(X20)))&index(status,host(X20))=elec_1)&(setIn(X17,alive)&host(X3)=host(X17)))))))))))),inference(fof_nnf,[status(thm)],[75])).
% fof(266, negated_conjecture,?[X22]:?[X23]:?[X24]:?[X25]:(epred1_3(X24,X25,X22)&(setIn(X24,alive)&(leq(host(X24),host(X25))&((index(status,host(X24))=elec_2&host(X25)=index(pendack,host(X24)))&(leq(nbr_proc,index(pendack,host(X24)))&?[X26]:(setIn(host(X26),index(acks,host(X24)))&?[X27]:(host(X24)=host(X27)&?[X28]:?[X29]:?[X30]:(host(X26)=host(X30)&(~(host(X24)=host(X30))&(((((((![X31]:((leq(host(X30),X31)|~(leq(s(zero),X31)))|(setIn(X31,index(down,host(X30)))|X31=host(X29)))&setIn(X30,alive))&leq(nbr_proc,s(host(X30))))&elem(m_Down(X28),snoc(queue(host(X30)),m_Ldr(X24))))&elem(m_Down(X29),snoc(queue(host(X30)),m_Ldr(X24))))&host(X28)=s(host(X30)))&index(status,host(X30))=elec_1)&(setIn(X27,alive)&host(X24)=host(X27)))))))))))),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(status,host(esk6_0))=elec_2&host(esk7_0)=index(pendack,host(esk6_0)))&(leq(nbr_proc,index(pendack,host(esk6_0)))&(setIn(host(esk8_0),index(acks,host(esk6_0)))&(host(esk6_0)=host(esk9_0)&(host(esk8_0)=host(esk12_0)&(~(host(esk6_0)=host(esk12_0))&(((((((![X31]:((leq(host(esk12_0),X31)|~(leq(s(zero),X31)))|(setIn(X31,index(down,host(esk12_0)))|X31=host(esk11_0)))&setIn(esk12_0,alive))&leq(nbr_proc,s(host(esk12_0))))&elem(m_Down(esk10_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))))&elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))))&host(esk10_0)=s(host(esk12_0)))&index(status,host(esk12_0))=elec_1)&(setIn(esk9_0,alive)&host(esk6_0)=host(esk9_0)))))))))))),inference(skolemize,[status(esa)],[266])).
% fof(268, negated_conjecture,![X31]:((((((((((((((((((leq(host(esk12_0),X31)|~(leq(s(zero),X31)))|(setIn(X31,index(down,host(esk12_0)))|X31=host(esk11_0)))&setIn(esk12_0,alive))&leq(nbr_proc,s(host(esk12_0))))&elem(m_Down(esk10_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))))&elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))))&host(esk10_0)=s(host(esk12_0)))&index(status,host(esk12_0))=elec_1)&(setIn(esk9_0,alive)&host(esk6_0)=host(esk9_0)))&~(host(esk6_0)=host(esk12_0)))&host(esk8_0)=host(esk12_0))&host(esk6_0)=host(esk9_0))&setIn(host(esk8_0),index(acks,host(esk6_0))))&leq(nbr_proc,index(pendack,host(esk6_0))))&(index(status,host(esk6_0))=elec_2&host(esk7_0)=index(pendack,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])).
% cnf(269,negated_conjecture,(epred1_3(esk6_0,esk7_0,esk4_0)),inference(split_conjunct,[status(thm)],[268])).
% cnf(270,negated_conjecture,(setIn(esk6_0,alive)),inference(split_conjunct,[status(thm)],[268])).
% cnf(272,negated_conjecture,(host(esk7_0)=index(pendack,host(esk6_0))),inference(split_conjunct,[status(thm)],[268])).
% cnf(273,negated_conjecture,(index(status,host(esk6_0))=elec_2),inference(split_conjunct,[status(thm)],[268])).
% cnf(274,negated_conjecture,(leq(nbr_proc,index(pendack,host(esk6_0)))),inference(split_conjunct,[status(thm)],[268])).
% cnf(278,negated_conjecture,(host(esk6_0)!=host(esk12_0)),inference(split_conjunct,[status(thm)],[268])).
% cnf(282,negated_conjecture,(host(esk10_0)=s(host(esk12_0))),inference(split_conjunct,[status(thm)],[268])).
% cnf(283,negated_conjecture,(elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0)))),inference(split_conjunct,[status(thm)],[268])).
% cnf(285,negated_conjecture,(leq(nbr_proc,s(host(esk12_0)))),inference(split_conjunct,[status(thm)],[268])).
% cnf(286,negated_conjecture,(setIn(esk12_0,alive)),inference(split_conjunct,[status(thm)],[268])).
% cnf(287,negated_conjecture,(X1=host(esk11_0)|setIn(X1,index(down,host(esk12_0)))|leq(host(esk12_0),X1)|~leq(s(zero),X1)),inference(split_conjunct,[status(thm)],[268])).
% fof(288, 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(289, 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)],[288])).
% fof(290, 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)],[289])).
% fof(291, 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)],[290])).
% fof(292, 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)],[291])).
% cnf(293,plain,(queue(host(X1))=cons(m_Down(X2),X3)|~epred1_3(X1,X2,X3)),inference(split_conjunct,[status(thm)],[292])).
% cnf(295,plain,(~epred1_3(X1,X2,X3)|host(X4)!=host(X5)|~elem(m_Down(X4),queue(host(X5)))),inference(split_conjunct,[status(thm)],[292])).
% cnf(299,plain,(leq(index(pendack,host(X4)),host(X5))|~epred1_3(X1,X2,X3)|index(status,host(X4))!=elec_2|~setIn(host(X4),index(down,host(X5)))|~setIn(X4,alive)|~setIn(X5,alive)),inference(split_conjunct,[status(thm)],[292])).
% cnf(301,plain,(leq(index(pendack,host(X4)),host(X5))|~epred1_3(X1,X2,X3)|index(status,host(X4))!=elec_2|host(X4)!=host(X6)|~elem(m_Down(X6),queue(host(X5)))|~setIn(X4,alive)|~setIn(X5,alive)),inference(split_conjunct,[status(thm)],[292])).
% cnf(342,negated_conjecture,(leq(nbr_proc,host(esk10_0))),inference(rw,[status(thm)],[285,282,theory(equality)])).
% cnf(351,negated_conjecture,(host(esk10_0)=nbr_proc|~leq(host(esk10_0),nbr_proc)),inference(spm,[status(thm)],[138,342,theory(equality)])).
% cnf(356,negated_conjecture,(host(esk10_0)=nbr_proc|$false),inference(rw,[status(thm)],[351,83,theory(equality)])).
% cnf(357,negated_conjecture,(host(esk10_0)=nbr_proc),inference(cn,[status(thm)],[356,theory(equality)])).
% cnf(392,negated_conjecture,(leq(nbr_proc,host(esk7_0))),inference(rw,[status(thm)],[274,272,theory(equality)])).
% cnf(393,negated_conjecture,(host(esk7_0)=nbr_proc|~leq(host(esk7_0),nbr_proc)),inference(spm,[status(thm)],[138,392,theory(equality)])).
% cnf(395,negated_conjecture,(host(esk7_0)=nbr_proc|$false),inference(rw,[status(thm)],[393,83,theory(equality)])).
% cnf(396,negated_conjecture,(host(esk7_0)=nbr_proc),inference(cn,[status(thm)],[395,theory(equality)])).
% cnf(397,plain,(elem(X1,cons(X1,X2))),inference(er,[status(thm)],[119,theory(equality)])).
% fof(451, plain,(~(epred2_0)<=>![X5]:![X4]:(~(host(X4)=host(X5))|~(elem(m_Down(X4),queue(host(X5)))))),introduced(definition),['split']).
% cnf(452,plain,(epred2_0|~elem(m_Down(X4),queue(host(X5)))|host(X4)!=host(X5)),inference(split_equiv,[status(thm)],[451])).
% fof(453, plain,(~(epred3_0)<=>![X3]:![X2]:![X1]:~(epred1_3(X1,X2,X3))),introduced(definition),['split']).
% cnf(454,plain,(epred3_0|~epred1_3(X1,X2,X3)),inference(split_equiv,[status(thm)],[453])).
% cnf(455,plain,(~epred3_0|~epred2_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[295,451,theory(equality)]),453,theory(equality)]),['split']).
% cnf(468,negated_conjecture,(m_Down(esk11_0)=m_Ldr(esk6_0)|elem(m_Down(esk11_0),queue(host(esk12_0)))),inference(spm,[status(thm)],[126,283,theory(equality)])).
% cnf(469,negated_conjecture,(elem(m_Down(esk11_0),queue(host(esk12_0)))),inference(sr,[status(thm)],[468,95,theory(equality)])).
% cnf(493,negated_conjecture,(cons(m_Down(esk7_0),esk4_0)=queue(host(esk6_0))),inference(spm,[status(thm)],[293,269,theory(equality)])).
% cnf(518,negated_conjecture,(host(esk11_0)=host(X1)|setIn(host(X1),index(down,host(esk12_0)))|leq(host(esk12_0),host(X1))),inference(spm,[status(thm)],[287,80,theory(equality)])).
% cnf(695,negated_conjecture,(s(host(esk12_0))=nbr_proc),inference(rw,[status(thm)],[282,357,theory(equality)])).
% cnf(705,negated_conjecture,(~leq(nbr_proc,host(esk12_0))),inference(spm,[status(thm)],[128,695,theory(equality)])).
% cnf(706,negated_conjecture,(nbr_proc=X1|leq(X1,host(esk12_0))|~leq(X1,nbr_proc)),inference(spm,[status(thm)],[151,695,theory(equality)])).
% cnf(744,negated_conjecture,(epred3_0),inference(spm,[status(thm)],[454,269,theory(equality)])).
% cnf(745,plain,($false|~epred2_0),inference(rw,[status(thm)],[455,744,theory(equality)])).
% cnf(746,plain,(~epred2_0),inference(cn,[status(thm)],[745,theory(equality)])).
% cnf(883,plain,(~elem(m_Down(X4),queue(host(X5)))|host(X4)!=host(X5)),inference(sr,[status(thm)],[452,746,theory(equality)])).
% cnf(1107,plain,(leq(index(pendack,host(X1)),host(esk12_0))|index(status,host(X1))!=elec_2|host(X1)!=host(esk11_0)|~epred1_3(X2,X3,X4)|~setIn(esk12_0,alive)|~setIn(X1,alive)),inference(spm,[status(thm)],[301,469,theory(equality)])).
% cnf(1124,plain,(leq(index(pendack,host(X1)),host(esk12_0))|index(status,host(X1))!=elec_2|host(X1)!=host(esk11_0)|~epred1_3(X2,X3,X4)|$false|~setIn(X1,alive)),inference(rw,[status(thm)],[1107,286,theory(equality)])).
% cnf(1125,plain,(leq(index(pendack,host(X1)),host(esk12_0))|index(status,host(X1))!=elec_2|host(X1)!=host(esk11_0)|~epred1_3(X2,X3,X4)|~setIn(X1,alive)),inference(cn,[status(thm)],[1124,theory(equality)])).
% cnf(1840,negated_conjecture,(elem(m_Down(esk7_0),queue(host(esk6_0)))),inference(spm,[status(thm)],[397,493,theory(equality)])).
% cnf(1860,plain,(host(esk7_0)!=host(esk6_0)),inference(spm,[status(thm)],[883,1840,theory(equality)])).
% cnf(1886,plain,(nbr_proc!=host(esk6_0)),inference(rw,[status(thm)],[1860,396,theory(equality)])).
% cnf(3329,negated_conjecture,(nbr_proc=host(X1)|leq(host(X1),host(esk12_0))),inference(spm,[status(thm)],[706,83,theory(equality)])).
% cnf(6239,plain,(leq(index(pendack,host(X1)),host(esk12_0))|host(esk11_0)=host(X1)|leq(host(esk12_0),host(X1))|index(status,host(X1))!=elec_2|~epred1_3(X2,X3,X4)|~setIn(esk12_0,alive)|~setIn(X1,alive)),inference(spm,[status(thm)],[299,518,theory(equality)])).
% cnf(6246,plain,(leq(index(pendack,host(X1)),host(esk12_0))|host(esk11_0)=host(X1)|leq(host(esk12_0),host(X1))|index(status,host(X1))!=elec_2|~epred1_3(X2,X3,X4)|$false|~setIn(X1,alive)),inference(rw,[status(thm)],[6239,286,theory(equality)])).
% cnf(6247,plain,(leq(index(pendack,host(X1)),host(esk12_0))|host(esk11_0)=host(X1)|leq(host(esk12_0),host(X1))|index(status,host(X1))!=elec_2|~epred1_3(X2,X3,X4)|~setIn(X1,alive)),inference(cn,[status(thm)],[6246,theory(equality)])).
% cnf(9132,negated_conjecture,(host(esk12_0)=host(X1)|host(X1)=nbr_proc|~leq(host(esk12_0),host(X1))),inference(spm,[status(thm)],[138,3329,theory(equality)])).
% cnf(690184,plain,(leq(index(pendack,host(X1)),host(esk12_0))|leq(host(esk12_0),host(X1))|index(status,host(X1))!=elec_2|~epred1_3(X2,X3,X4)|~setIn(X1,alive)),inference(csr,[status(thm)],[6247,1125])).
% cnf(690208,negated_conjecture,(leq(index(pendack,host(esk6_0)),host(esk12_0))|leq(host(esk12_0),host(esk6_0))|~epred1_3(X1,X2,X3)|~setIn(esk6_0,alive)),inference(spm,[status(thm)],[690184,273,theory(equality)])).
% cnf(690218,negated_conjecture,(leq(nbr_proc,host(esk12_0))|leq(host(esk12_0),host(esk6_0))|~epred1_3(X1,X2,X3)|~setIn(esk6_0,alive)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[690208,272,theory(equality)]),396,theory(equality)])).
% cnf(690219,negated_conjecture,(leq(nbr_proc,host(esk12_0))|leq(host(esk12_0),host(esk6_0))|~epred1_3(X1,X2,X3)|$false),inference(rw,[status(thm)],[690218,270,theory(equality)])).
% cnf(690220,negated_conjecture,(leq(nbr_proc,host(esk12_0))|leq(host(esk12_0),host(esk6_0))|~epred1_3(X1,X2,X3)),inference(cn,[status(thm)],[690219,theory(equality)])).
% cnf(690221,negated_conjecture,(leq(host(esk12_0),host(esk6_0))|~epred1_3(X1,X2,X3)),inference(sr,[status(thm)],[690220,705,theory(equality)])).
% cnf(690222,negated_conjecture,(leq(host(esk12_0),host(esk6_0))),inference(spm,[status(thm)],[690221,269,theory(equality)])).
% cnf(690529,negated_conjecture,(host(esk12_0)=host(esk6_0)|host(esk6_0)=nbr_proc),inference(spm,[status(thm)],[9132,690222,theory(equality)])).
% cnf(690813,negated_conjecture,(host(esk6_0)=nbr_proc),inference(sr,[status(thm)],[690529,278,theory(equality)])).
% cnf(690814,negated_conjecture,($false),inference(sr,[status(thm)],[690813,1886,theory(equality)])).
% cnf(690815,negated_conjecture,($false),690814,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 7952
% # ...of these trivial                : 267
% # ...subsumed                        : 5454
% # ...remaining for further processing: 2231
% # Other redundant clauses eliminated : 10
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 85
% # Backward-rewritten                 : 49
% # Generated clauses                  : 443203
% # ...of the previous two non-trivial : 255954
% # Contextual simplify-reflections    : 1124
% # Paramodulations                    : 442901
% # Factorizations                     : 245
% # Equation resolutions               : 24
% # Current number of processed clauses: 2088
% #    Positive orientable unit clauses: 252
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 44
% #    Non-unit-clauses                : 1792
% # Current number of unprocessed clauses: 228748
% # ...number of literals in the above : 933439
% # Clause-clause subsumption calls (NU) : 424996
% # Rec. Clause-clause subsumption calls : 316955
% # Unit Clause-clause subsumption calls : 1958
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 2438
% # Indexed BW rewrite successes       : 30
% # Backwards rewriting index:   653 leaves,   2.55+/-4.223 terms/leaf
% # Paramod-from index:          233 leaves,   2.32+/-4.768 terms/leaf
% # Paramod-into index:          504 leaves,   2.37+/-4.119 terms/leaf
% # -------------------------------------------------
% # User time              : 11.068 s
% # System time            : 0.309 s
% # Total time             : 11.377 s
% # Maximum resident set size: 0 pages
% PrfWatch: 18.03 CPU 18.55 WC
% FINAL PrfWatch: 18.03 CPU 18.55 WC
% SZS output end Solution for /tmp/SystemOnTPTP6095/SWV478+1.tptp
% 
%------------------------------------------------------------------------------