TSTP Solution File: SWV461+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWV461+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 09:03:39 EST 2010
% Result : Theorem 1.51s
% Output : Solution 1.51s
% 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/SystemOnTPTP30385/SWV461+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30385/SWV461+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30385/SWV461+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 30481
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.022 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(5, axiom,![X3]:leq(host(X3),nbr_proc),file('/tmp/SRASS.s.p', axiom_04)).
% fof(9, axiom,![X5]:![X6]:![X7]:~(m_Ack(X5,X6)=m_Halt(X7)),file('/tmp/SRASS.s.p', axiom_11)).
% fof(12, axiom,![X5]:![X6]:~(m_Down(X5)=m_Halt(X6)),file('/tmp/SRASS.s.p', axiom_17)).
% fof(23, axiom,![X5]:![X6]:![X4]:(elem(X5,snoc(X4,X6))<=>(X5=X6|elem(X5,X4))),file('/tmp/SRASS.s.p', axiom_47)).
% fof(24, axiom,![X5]:~(leq(s(X5),X5)),file('/tmp/SRASS.s.p', axiom_58)).
% fof(25, axiom,![X5]:leq(X5,X5),file('/tmp/SRASS.s.p', axiom_59)).
% fof(27, axiom,![X5]:![X6]:((leq(X5,X6)&leq(X6,X5))<=>X5=X6),file('/tmp/SRASS.s.p', axiom_61)).
% fof(29, axiom,![X5]:![X6]:(leq(X5,X6)<=>leq(s(X5),s(X6))),file('/tmp/SRASS.s.p', axiom_63)).
% fof(30, axiom,![X5]:![X6]:(leq(X5,s(X6))<=>(X5=s(X6)|leq(X5,X6))),file('/tmp/SRASS.s.p', axiom_64)).
% fof(67, conjecture,![X12]:![X13]:((((((((((((((((![X5]:(host(X13)=host(X5)=>~(setIn(X5,alive)))&![X5]:![X6]:(elem(m_Ldr(X6),queue(host(X5)))=>~(leq(host(X5),host(X6)))))&![X5]:![X6]:(elem(m_Down(X6),queue(host(X5)))=>~(host(X6)=host(X5))))&![X5]:![X6]:(elem(m_Halt(X6),queue(host(X5)))=>~(leq(host(X5),host(X6)))))&![X5]:![X6]:![X7]:(elem(m_Ack(X7,X5),queue(host(X6)))=>~(leq(host(X5),host(X7)))))&![X5]:![X6]:((~(X6=X5)&host(X6)=host(X5))=>(~(setIn(X5,alive))|~(setIn(X6,alive)))))&![X5]:![X6]:((setIn(X6,alive)&elem(m_Ack(X6,X5),queue(host(X6))))=>leq(host(X5),index(pendack,host(X6)))))&![X5]:![X6]:((setIn(X6,alive)&index(status,host(X6))=elec_1)=>~(elem(m_Ack(X6,X5),queue(host(X6))))))&![X5]:(((index(status,host(X5))=elec_1|index(status,host(X5))=elec_2)&setIn(X5,alive))=>index(elid,host(X5))=X5))&![X5]:![X6]:![X7]:(((setIn(X7,alive)&elem(m_Down(X6),queue(host(X7))))&host(X6)=host(X5))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:(((((setIn(X5,alive)&setIn(X7,alive))&host(X7)=host(X6))&index(status,host(X5))=elec_2)&index(status,host(X7))=elec_2)=>~(elem(m_Ack(X5,X6),queue(host(X5))))))&![X5]:![X6]:(((((~(leq(host(X5),host(X6)))&setIn(X5,alive))&setIn(X6,alive))&index(status,host(X5))=elec_2)&index(status,host(X6))=elec_2)=>leq(index(pendack,host(X6)),host(X5))))&![X5]:![X6]:(((((~(leq(host(X5),host(X6)))&setIn(X5,alive))&setIn(X6,alive))&index(status,host(X5))=elec_2)&index(status,host(X6))=elec_2)=>~(leq(index(pendack,host(X5)),index(pendack,host(X6))))))&![X5]:![X6]:![X7]:((((~(leq(index(pendack,host(X7)),host(X5)))&setIn(X7,alive))&elem(m_Halt(X7),queue(host(X6))))&index(status,host(X7))=elec_2)=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:![X14]:(((((![X15]:((~(leq(host(X14),X15))&leq(s(zero),X15))=>(setIn(X15,index(down,host(X14)))|X15=host(X7)))&elem(m_Down(X7),queue(host(X14))))&host(X14)=host(X6))&host(X14)=nbr_proc)&index(status,host(X14))=elec_1)=>~((setIn(X5,alive)&elem(m_Down(X6),queue(host(X5)))))))&![X5]:![X6]:![X7]:![X14]:(((((((setIn(X14,alive)&elem(m_Down(X7),queue(host(X14))))&elem(m_Ack(X14,X6),queue(host(X14))))&leq(nbr_proc,s(index(pendack,host(X14)))))&index(status,host(X14))=elec_2)&host(X6)=index(pendack,host(X14)))&host(X7)=s(index(pendack,host(X14))))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))=>(queue(host(X13))=q_nil=>(((![X5]:(host(X13)=host(X5)=>leq(X5,X12))&~(setIn(X12,pids)))&host(X13)=host(X12))=>(host(X12)=s(zero)=>(~(leq(nbr_proc,host(X12)))=>![X5]:(~(host(X12)=host(X5))=>![X6]:![X7]:![X16]:(s(host(X12))=host(X16)=>(~(host(X12)=host(X16))=>((((((((setIn(X16,alive)|X16=X12)&leq(nbr_proc,s(index(pendack,host(X16)))))&elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12))))&elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12))))&index(status,host(X16))=elec_2)&host(X6)=index(pendack,host(X16)))&host(X7)=s(index(pendack,host(X16))))=>~((((setIn(X5,alive)|X5=X12)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))))))))),file('/tmp/SRASS.s.p', conj)).
% fof(68, negated_conjecture,~(![X12]:![X13]:((((((((((((((((![X5]:(host(X13)=host(X5)=>~(setIn(X5,alive)))&![X5]:![X6]:(elem(m_Ldr(X6),queue(host(X5)))=>~(leq(host(X5),host(X6)))))&![X5]:![X6]:(elem(m_Down(X6),queue(host(X5)))=>~(host(X6)=host(X5))))&![X5]:![X6]:(elem(m_Halt(X6),queue(host(X5)))=>~(leq(host(X5),host(X6)))))&![X5]:![X6]:![X7]:(elem(m_Ack(X7,X5),queue(host(X6)))=>~(leq(host(X5),host(X7)))))&![X5]:![X6]:((~(X6=X5)&host(X6)=host(X5))=>(~(setIn(X5,alive))|~(setIn(X6,alive)))))&![X5]:![X6]:((setIn(X6,alive)&elem(m_Ack(X6,X5),queue(host(X6))))=>leq(host(X5),index(pendack,host(X6)))))&![X5]:![X6]:((setIn(X6,alive)&index(status,host(X6))=elec_1)=>~(elem(m_Ack(X6,X5),queue(host(X6))))))&![X5]:(((index(status,host(X5))=elec_1|index(status,host(X5))=elec_2)&setIn(X5,alive))=>index(elid,host(X5))=X5))&![X5]:![X6]:![X7]:(((setIn(X7,alive)&elem(m_Down(X6),queue(host(X7))))&host(X6)=host(X5))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:(((((setIn(X5,alive)&setIn(X7,alive))&host(X7)=host(X6))&index(status,host(X5))=elec_2)&index(status,host(X7))=elec_2)=>~(elem(m_Ack(X5,X6),queue(host(X5))))))&![X5]:![X6]:(((((~(leq(host(X5),host(X6)))&setIn(X5,alive))&setIn(X6,alive))&index(status,host(X5))=elec_2)&index(status,host(X6))=elec_2)=>leq(index(pendack,host(X6)),host(X5))))&![X5]:![X6]:(((((~(leq(host(X5),host(X6)))&setIn(X5,alive))&setIn(X6,alive))&index(status,host(X5))=elec_2)&index(status,host(X6))=elec_2)=>~(leq(index(pendack,host(X5)),index(pendack,host(X6))))))&![X5]:![X6]:![X7]:((((~(leq(index(pendack,host(X7)),host(X5)))&setIn(X7,alive))&elem(m_Halt(X7),queue(host(X6))))&index(status,host(X7))=elec_2)=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:![X14]:(((((![X15]:((~(leq(host(X14),X15))&leq(s(zero),X15))=>(setIn(X15,index(down,host(X14)))|X15=host(X7)))&elem(m_Down(X7),queue(host(X14))))&host(X14)=host(X6))&host(X14)=nbr_proc)&index(status,host(X14))=elec_1)=>~((setIn(X5,alive)&elem(m_Down(X6),queue(host(X5)))))))&![X5]:![X6]:![X7]:![X14]:(((((((setIn(X14,alive)&elem(m_Down(X7),queue(host(X14))))&elem(m_Ack(X14,X6),queue(host(X14))))&leq(nbr_proc,s(index(pendack,host(X14)))))&index(status,host(X14))=elec_2)&host(X6)=index(pendack,host(X14)))&host(X7)=s(index(pendack,host(X14))))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))=>(queue(host(X13))=q_nil=>(((![X5]:(host(X13)=host(X5)=>leq(X5,X12))&~(setIn(X12,pids)))&host(X13)=host(X12))=>(host(X12)=s(zero)=>(~(leq(nbr_proc,host(X12)))=>![X5]:(~(host(X12)=host(X5))=>![X6]:![X7]:![X16]:(s(host(X12))=host(X16)=>(~(host(X12)=host(X16))=>((((((((setIn(X16,alive)|X16=X12)&leq(nbr_proc,s(index(pendack,host(X16)))))&elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12))))&elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12))))&index(status,host(X16))=elec_2)&host(X6)=index(pendack,host(X16)))&host(X7)=s(index(pendack,host(X16))))=>~((((setIn(X5,alive)|X5=X12)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)))))))))))),inference(assume_negation,[status(cth)],[67])).
% fof(70, plain,![X5]:~(leq(s(X5),X5)),inference(fof_simplification,[status(thm)],[24,theory(equality)])).
% fof(73, negated_conjecture,~(![X12]:![X13]:((((((((((((((((![X5]:(host(X13)=host(X5)=>~(setIn(X5,alive)))&![X5]:![X6]:(elem(m_Ldr(X6),queue(host(X5)))=>~(leq(host(X5),host(X6)))))&![X5]:![X6]:(elem(m_Down(X6),queue(host(X5)))=>~(host(X6)=host(X5))))&![X5]:![X6]:(elem(m_Halt(X6),queue(host(X5)))=>~(leq(host(X5),host(X6)))))&![X5]:![X6]:![X7]:(elem(m_Ack(X7,X5),queue(host(X6)))=>~(leq(host(X5),host(X7)))))&![X5]:![X6]:((~(X6=X5)&host(X6)=host(X5))=>(~(setIn(X5,alive))|~(setIn(X6,alive)))))&![X5]:![X6]:((setIn(X6,alive)&elem(m_Ack(X6,X5),queue(host(X6))))=>leq(host(X5),index(pendack,host(X6)))))&![X5]:![X6]:((setIn(X6,alive)&index(status,host(X6))=elec_1)=>~(elem(m_Ack(X6,X5),queue(host(X6))))))&![X5]:(((index(status,host(X5))=elec_1|index(status,host(X5))=elec_2)&setIn(X5,alive))=>index(elid,host(X5))=X5))&![X5]:![X6]:![X7]:(((setIn(X7,alive)&elem(m_Down(X6),queue(host(X7))))&host(X6)=host(X5))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:(((((setIn(X5,alive)&setIn(X7,alive))&host(X7)=host(X6))&index(status,host(X5))=elec_2)&index(status,host(X7))=elec_2)=>~(elem(m_Ack(X5,X6),queue(host(X5))))))&![X5]:![X6]:(((((~(leq(host(X5),host(X6)))&setIn(X5,alive))&setIn(X6,alive))&index(status,host(X5))=elec_2)&index(status,host(X6))=elec_2)=>leq(index(pendack,host(X6)),host(X5))))&![X5]:![X6]:(((((~(leq(host(X5),host(X6)))&setIn(X5,alive))&setIn(X6,alive))&index(status,host(X5))=elec_2)&index(status,host(X6))=elec_2)=>~(leq(index(pendack,host(X5)),index(pendack,host(X6))))))&![X5]:![X6]:![X7]:((((~(leq(index(pendack,host(X7)),host(X5)))&setIn(X7,alive))&elem(m_Halt(X7),queue(host(X6))))&index(status,host(X7))=elec_2)=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:![X14]:(((((![X15]:((~(leq(host(X14),X15))&leq(s(zero),X15))=>(setIn(X15,index(down,host(X14)))|X15=host(X7)))&elem(m_Down(X7),queue(host(X14))))&host(X14)=host(X6))&host(X14)=nbr_proc)&index(status,host(X14))=elec_1)=>~((setIn(X5,alive)&elem(m_Down(X6),queue(host(X5)))))))&![X5]:![X6]:![X7]:![X14]:(((((((setIn(X14,alive)&elem(m_Down(X7),queue(host(X14))))&elem(m_Ack(X14,X6),queue(host(X14))))&leq(nbr_proc,s(index(pendack,host(X14)))))&index(status,host(X14))=elec_2)&host(X6)=index(pendack,host(X14)))&host(X7)=s(index(pendack,host(X14))))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))=>(queue(host(X13))=q_nil=>(((![X5]:(host(X13)=host(X5)=>leq(X5,X12))&~(setIn(X12,pids)))&host(X13)=host(X12))=>(host(X12)=s(zero)=>(~(leq(nbr_proc,host(X12)))=>![X5]:(~(host(X12)=host(X5))=>![X6]:![X7]:![X16]:(s(host(X12))=host(X16)=>(~(host(X12)=host(X16))=>((((((((setIn(X16,alive)|X16=X12)&leq(nbr_proc,s(index(pendack,host(X16)))))&elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12))))&elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12))))&index(status,host(X16))=elec_2)&host(X6)=index(pendack,host(X16)))&host(X7)=s(index(pendack,host(X16))))=>~((((setIn(X5,alive)|X5=X12)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)))))))))))),inference(fof_simplification,[status(thm)],[68,theory(equality)])).
% fof(74, plain,![X13]:(epred1_1(X13)=>(((((((((((((((![X5]:(host(X13)=host(X5)=>~(setIn(X5,alive)))&![X5]:![X6]:(elem(m_Ldr(X6),queue(host(X5)))=>~(leq(host(X5),host(X6)))))&![X5]:![X6]:(elem(m_Down(X6),queue(host(X5)))=>~(host(X6)=host(X5))))&![X5]:![X6]:(elem(m_Halt(X6),queue(host(X5)))=>~(leq(host(X5),host(X6)))))&![X5]:![X6]:![X7]:(elem(m_Ack(X7,X5),queue(host(X6)))=>~(leq(host(X5),host(X7)))))&![X5]:![X6]:((~(X6=X5)&host(X6)=host(X5))=>(~(setIn(X5,alive))|~(setIn(X6,alive)))))&![X5]:![X6]:((setIn(X6,alive)&elem(m_Ack(X6,X5),queue(host(X6))))=>leq(host(X5),index(pendack,host(X6)))))&![X5]:![X6]:((setIn(X6,alive)&index(status,host(X6))=elec_1)=>~(elem(m_Ack(X6,X5),queue(host(X6))))))&![X5]:(((index(status,host(X5))=elec_1|index(status,host(X5))=elec_2)&setIn(X5,alive))=>index(elid,host(X5))=X5))&![X5]:![X6]:![X7]:(((setIn(X7,alive)&elem(m_Down(X6),queue(host(X7))))&host(X6)=host(X5))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:(((((setIn(X5,alive)&setIn(X7,alive))&host(X7)=host(X6))&index(status,host(X5))=elec_2)&index(status,host(X7))=elec_2)=>~(elem(m_Ack(X5,X6),queue(host(X5))))))&![X5]:![X6]:(((((~(leq(host(X5),host(X6)))&setIn(X5,alive))&setIn(X6,alive))&index(status,host(X5))=elec_2)&index(status,host(X6))=elec_2)=>leq(index(pendack,host(X6)),host(X5))))&![X5]:![X6]:(((((~(leq(host(X5),host(X6)))&setIn(X5,alive))&setIn(X6,alive))&index(status,host(X5))=elec_2)&index(status,host(X6))=elec_2)=>~(leq(index(pendack,host(X5)),index(pendack,host(X6))))))&![X5]:![X6]:![X7]:((((~(leq(index(pendack,host(X7)),host(X5)))&setIn(X7,alive))&elem(m_Halt(X7),queue(host(X6))))&index(status,host(X7))=elec_2)=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:![X14]:(((((![X15]:((~(leq(host(X14),X15))&leq(s(zero),X15))=>(setIn(X15,index(down,host(X14)))|X15=host(X7)))&elem(m_Down(X7),queue(host(X14))))&host(X14)=host(X6))&host(X14)=nbr_proc)&index(status,host(X14))=elec_1)=>~((setIn(X5,alive)&elem(m_Down(X6),queue(host(X5)))))))&![X5]:![X6]:![X7]:![X14]:(((((((setIn(X14,alive)&elem(m_Down(X7),queue(host(X14))))&elem(m_Ack(X14,X6),queue(host(X14))))&leq(nbr_proc,s(index(pendack,host(X14)))))&index(status,host(X14))=elec_2)&host(X6)=index(pendack,host(X14)))&host(X7)=s(index(pendack,host(X14))))=>~(((setIn(X5,alive)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm))))),introduced(definition)).
% fof(75, negated_conjecture,~(![X12]:![X13]:(epred1_1(X13)=>(queue(host(X13))=q_nil=>(((![X5]:(host(X13)=host(X5)=>leq(X5,X12))&~(setIn(X12,pids)))&host(X13)=host(X12))=>(host(X12)=s(zero)=>(~(leq(nbr_proc,host(X12)))=>![X5]:(~(host(X12)=host(X5))=>![X6]:![X7]:![X16]:(s(host(X12))=host(X16)=>(~(host(X12)=host(X16))=>((((((((setIn(X16,alive)|X16=X12)&leq(nbr_proc,s(index(pendack,host(X16)))))&elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12))))&elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12))))&index(status,host(X16))=elec_2)&host(X6)=index(pendack,host(X16)))&host(X7)=s(index(pendack,host(X16))))=>~((((setIn(X5,alive)|X5=X12)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)))))))))))),inference(apply_def,[status(esa)],[73,74,theory(equality)])).
% fof(87, plain,![X4]:leq(host(X4),nbr_proc),inference(variable_rename,[status(thm)],[5])).
% cnf(88,plain,(leq(host(X1),nbr_proc)),inference(split_conjunct,[status(thm)],[87])).
% fof(92, plain,![X8]:![X9]:![X10]:~(m_Ack(X8,X9)=m_Halt(X10)),inference(variable_rename,[status(thm)],[9])).
% cnf(93,plain,(m_Ack(X1,X2)!=m_Halt(X3)),inference(split_conjunct,[status(thm)],[92])).
% fof(98, plain,![X7]:![X8]:~(m_Down(X7)=m_Halt(X8)),inference(variable_rename,[status(thm)],[12])).
% cnf(99,plain,(m_Down(X1)!=m_Halt(X2)),inference(split_conjunct,[status(thm)],[98])).
% fof(129, plain,![X5]:![X6]:![X4]:((~(elem(X5,snoc(X4,X6)))|(X5=X6|elem(X5,X4)))&((~(X5=X6)&~(elem(X5,X4)))|elem(X5,snoc(X4,X6)))),inference(fof_nnf,[status(thm)],[23])).
% fof(130, plain,![X7]:![X8]:![X9]:((~(elem(X7,snoc(X9,X8)))|(X7=X8|elem(X7,X9)))&((~(X7=X8)&~(elem(X7,X9)))|elem(X7,snoc(X9,X8)))),inference(variable_rename,[status(thm)],[129])).
% fof(131, plain,![X7]:![X8]:![X9]:((~(elem(X7,snoc(X9,X8)))|(X7=X8|elem(X7,X9)))&((~(X7=X8)|elem(X7,snoc(X9,X8)))&(~(elem(X7,X9))|elem(X7,snoc(X9,X8))))),inference(distribute,[status(thm)],[130])).
% cnf(134,plain,(elem(X1,X2)|X1=X3|~elem(X1,snoc(X2,X3))),inference(split_conjunct,[status(thm)],[131])).
% fof(135, plain,![X6]:~(leq(s(X6),X6)),inference(variable_rename,[status(thm)],[70])).
% cnf(136,plain,(~leq(s(X1),X1)),inference(split_conjunct,[status(thm)],[135])).
% fof(137, plain,![X6]:leq(X6,X6),inference(variable_rename,[status(thm)],[25])).
% cnf(138,plain,(leq(X1,X1)),inference(split_conjunct,[status(thm)],[137])).
% fof(141, plain,![X5]:![X6]:(((~(leq(X5,X6))|~(leq(X6,X5)))|X5=X6)&(~(X5=X6)|(leq(X5,X6)&leq(X6,X5)))),inference(fof_nnf,[status(thm)],[27])).
% fof(142, plain,![X7]:![X8]:(((~(leq(X7,X8))|~(leq(X8,X7)))|X7=X8)&(~(X7=X8)|(leq(X7,X8)&leq(X8,X7)))),inference(variable_rename,[status(thm)],[141])).
% fof(143, plain,![X7]:![X8]:(((~(leq(X7,X8))|~(leq(X8,X7)))|X7=X8)&((leq(X7,X8)|~(X7=X8))&(leq(X8,X7)|~(X7=X8)))),inference(distribute,[status(thm)],[142])).
% cnf(146,plain,(X1=X2|~leq(X2,X1)|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[143])).
% fof(150, plain,![X5]:![X6]:((~(leq(X5,X6))|leq(s(X5),s(X6)))&(~(leq(s(X5),s(X6)))|leq(X5,X6))),inference(fof_nnf,[status(thm)],[29])).
% fof(151, plain,![X7]:![X8]:((~(leq(X7,X8))|leq(s(X7),s(X8)))&(~(leq(s(X7),s(X8)))|leq(X7,X8))),inference(variable_rename,[status(thm)],[150])).
% cnf(152,plain,(leq(X1,X2)|~leq(s(X1),s(X2))),inference(split_conjunct,[status(thm)],[151])).
% fof(154, plain,![X5]:![X6]:((~(leq(X5,s(X6)))|(X5=s(X6)|leq(X5,X6)))&((~(X5=s(X6))&~(leq(X5,X6)))|leq(X5,s(X6)))),inference(fof_nnf,[status(thm)],[30])).
% fof(155, plain,![X7]:![X8]:((~(leq(X7,s(X8)))|(X7=s(X8)|leq(X7,X8)))&((~(X7=s(X8))&~(leq(X7,X8)))|leq(X7,s(X8)))),inference(variable_rename,[status(thm)],[154])).
% fof(156, plain,![X7]:![X8]:((~(leq(X7,s(X8)))|(X7=s(X8)|leq(X7,X8)))&((~(X7=s(X8))|leq(X7,s(X8)))&(~(leq(X7,X8))|leq(X7,s(X8))))),inference(distribute,[status(thm)],[155])).
% cnf(157,plain,(leq(X1,s(X2))|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[156])).
% cnf(158,plain,(leq(X1,s(X2))|X1!=s(X2)),inference(split_conjunct,[status(thm)],[156])).
% fof(265, negated_conjecture,?[X12]:?[X13]:(epred1_1(X13)&(queue(host(X13))=q_nil&(((![X5]:(~(host(X13)=host(X5))|leq(X5,X12))&~(setIn(X12,pids)))&host(X13)=host(X12))&(host(X12)=s(zero)&(~(leq(nbr_proc,host(X12)))&?[X5]:(~(host(X12)=host(X5))&?[X6]:?[X7]:?[X16]:(s(host(X12))=host(X16)&(~(host(X12)=host(X16))&((((((((setIn(X16,alive)|X16=X12)&leq(nbr_proc,s(index(pendack,host(X16)))))&elem(m_Down(X7),snoc(queue(host(X16)),m_Halt(X12))))&elem(m_Ack(X16,X6),snoc(queue(host(X16)),m_Halt(X12))))&index(status,host(X16))=elec_2)&host(X6)=index(pendack,host(X16)))&host(X7)=s(index(pendack,host(X16))))&(((setIn(X5,alive)|X5=X12)&index(ldr,host(X5))=host(X5))&index(status,host(X5))=norm)))))))))),inference(fof_nnf,[status(thm)],[75])).
% fof(266, negated_conjecture,?[X17]:?[X18]:(epred1_1(X18)&(queue(host(X18))=q_nil&(((![X19]:(~(host(X18)=host(X19))|leq(X19,X17))&~(setIn(X17,pids)))&host(X18)=host(X17))&(host(X17)=s(zero)&(~(leq(nbr_proc,host(X17)))&?[X20]:(~(host(X17)=host(X20))&?[X21]:?[X22]:?[X23]:(s(host(X17))=host(X23)&(~(host(X17)=host(X23))&((((((((setIn(X23,alive)|X23=X17)&leq(nbr_proc,s(index(pendack,host(X23)))))&elem(m_Down(X22),snoc(queue(host(X23)),m_Halt(X17))))&elem(m_Ack(X23,X21),snoc(queue(host(X23)),m_Halt(X17))))&index(status,host(X23))=elec_2)&host(X21)=index(pendack,host(X23)))&host(X22)=s(index(pendack,host(X23))))&(((setIn(X20,alive)|X20=X17)&index(ldr,host(X20))=host(X20))&index(status,host(X20))=norm)))))))))),inference(variable_rename,[status(thm)],[265])).
% fof(267, negated_conjecture,(epred1_1(esk5_0)&(queue(host(esk5_0))=q_nil&(((![X19]:(~(host(esk5_0)=host(X19))|leq(X19,esk4_0))&~(setIn(esk4_0,pids)))&host(esk5_0)=host(esk4_0))&(host(esk4_0)=s(zero)&(~(leq(nbr_proc,host(esk4_0)))&(~(host(esk4_0)=host(esk6_0))&(s(host(esk4_0))=host(esk9_0)&(~(host(esk4_0)=host(esk9_0))&((((((((setIn(esk9_0,alive)|esk9_0=esk4_0)&leq(nbr_proc,s(index(pendack,host(esk9_0)))))&elem(m_Down(esk8_0),snoc(queue(host(esk9_0)),m_Halt(esk4_0))))&elem(m_Ack(esk9_0,esk7_0),snoc(queue(host(esk9_0)),m_Halt(esk4_0))))&index(status,host(esk9_0))=elec_2)&host(esk7_0)=index(pendack,host(esk9_0)))&host(esk8_0)=s(index(pendack,host(esk9_0))))&(((setIn(esk6_0,alive)|esk6_0=esk4_0)&index(ldr,host(esk6_0))=host(esk6_0))&index(status,host(esk6_0))=norm)))))))))),inference(skolemize,[status(esa)],[266])).
% fof(268, negated_conjecture,![X19]:((((((~(host(esk5_0)=host(X19))|leq(X19,esk4_0))&~(setIn(esk4_0,pids)))&host(esk5_0)=host(esk4_0))&(host(esk4_0)=s(zero)&(~(leq(nbr_proc,host(esk4_0)))&(~(host(esk4_0)=host(esk6_0))&(s(host(esk4_0))=host(esk9_0)&(~(host(esk4_0)=host(esk9_0))&((((((((setIn(esk9_0,alive)|esk9_0=esk4_0)&leq(nbr_proc,s(index(pendack,host(esk9_0)))))&elem(m_Down(esk8_0),snoc(queue(host(esk9_0)),m_Halt(esk4_0))))&elem(m_Ack(esk9_0,esk7_0),snoc(queue(host(esk9_0)),m_Halt(esk4_0))))&index(status,host(esk9_0))=elec_2)&host(esk7_0)=index(pendack,host(esk9_0)))&host(esk8_0)=s(index(pendack,host(esk9_0))))&(((setIn(esk6_0,alive)|esk6_0=esk4_0)&index(ldr,host(esk6_0))=host(esk6_0))&index(status,host(esk6_0))=norm))))))))&queue(host(esk5_0))=q_nil)&epred1_1(esk5_0)),inference(shift_quantors,[status(thm)],[267])).
% cnf(269,negated_conjecture,(epred1_1(esk5_0)),inference(split_conjunct,[status(thm)],[268])).
% cnf(271,negated_conjecture,(index(status,host(esk6_0))=norm),inference(split_conjunct,[status(thm)],[268])).
% cnf(272,negated_conjecture,(index(ldr,host(esk6_0))=host(esk6_0)),inference(split_conjunct,[status(thm)],[268])).
% cnf(273,negated_conjecture,(esk6_0=esk4_0|setIn(esk6_0,alive)),inference(split_conjunct,[status(thm)],[268])).
% cnf(274,negated_conjecture,(host(esk8_0)=s(index(pendack,host(esk9_0)))),inference(split_conjunct,[status(thm)],[268])).
% cnf(275,negated_conjecture,(host(esk7_0)=index(pendack,host(esk9_0))),inference(split_conjunct,[status(thm)],[268])).
% cnf(276,negated_conjecture,(index(status,host(esk9_0))=elec_2),inference(split_conjunct,[status(thm)],[268])).
% cnf(277,negated_conjecture,(elem(m_Ack(esk9_0,esk7_0),snoc(queue(host(esk9_0)),m_Halt(esk4_0)))),inference(split_conjunct,[status(thm)],[268])).
% cnf(278,negated_conjecture,(elem(m_Down(esk8_0),snoc(queue(host(esk9_0)),m_Halt(esk4_0)))),inference(split_conjunct,[status(thm)],[268])).
% cnf(279,negated_conjecture,(leq(nbr_proc,s(index(pendack,host(esk9_0))))),inference(split_conjunct,[status(thm)],[268])).
% cnf(280,negated_conjecture,(esk9_0=esk4_0|setIn(esk9_0,alive)),inference(split_conjunct,[status(thm)],[268])).
% cnf(282,negated_conjecture,(s(host(esk4_0))=host(esk9_0)),inference(split_conjunct,[status(thm)],[268])).
% cnf(283,negated_conjecture,(host(esk4_0)!=host(esk6_0)),inference(split_conjunct,[status(thm)],[268])).
% cnf(285,negated_conjecture,(host(esk4_0)=s(zero)),inference(split_conjunct,[status(thm)],[268])).
% fof(289, plain,![X13]:(~(epred1_1(X13))|(((((((((((((((![X5]:(~(host(X13)=host(X5))|~(setIn(X5,alive)))&![X5]:![X6]:(~(elem(m_Ldr(X6),queue(host(X5))))|~(leq(host(X5),host(X6)))))&![X5]:![X6]:(~(elem(m_Down(X6),queue(host(X5))))|~(host(X6)=host(X5))))&![X5]:![X6]:(~(elem(m_Halt(X6),queue(host(X5))))|~(leq(host(X5),host(X6)))))&![X5]:![X6]:![X7]:(~(elem(m_Ack(X7,X5),queue(host(X6))))|~(leq(host(X5),host(X7)))))&![X5]:![X6]:((X6=X5|~(host(X6)=host(X5)))|(~(setIn(X5,alive))|~(setIn(X6,alive)))))&![X5]:![X6]:((~(setIn(X6,alive))|~(elem(m_Ack(X6,X5),queue(host(X6)))))|leq(host(X5),index(pendack,host(X6)))))&![X5]:![X6]:((~(setIn(X6,alive))|~(index(status,host(X6))=elec_1))|~(elem(m_Ack(X6,X5),queue(host(X6))))))&![X5]:(((~(index(status,host(X5))=elec_1)&~(index(status,host(X5))=elec_2))|~(setIn(X5,alive)))|index(elid,host(X5))=X5))&![X5]:![X6]:![X7]:(((~(setIn(X7,alive))|~(elem(m_Down(X6),queue(host(X7)))))|~(host(X6)=host(X5)))|((~(setIn(X5,alive))|~(index(ldr,host(X5))=host(X5)))|~(index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:(((((~(setIn(X5,alive))|~(setIn(X7,alive)))|~(host(X7)=host(X6)))|~(index(status,host(X5))=elec_2))|~(index(status,host(X7))=elec_2))|~(elem(m_Ack(X5,X6),queue(host(X5))))))&![X5]:![X6]:(((((leq(host(X5),host(X6))|~(setIn(X5,alive)))|~(setIn(X6,alive)))|~(index(status,host(X5))=elec_2))|~(index(status,host(X6))=elec_2))|leq(index(pendack,host(X6)),host(X5))))&![X5]:![X6]:(((((leq(host(X5),host(X6))|~(setIn(X5,alive)))|~(setIn(X6,alive)))|~(index(status,host(X5))=elec_2))|~(index(status,host(X6))=elec_2))|~(leq(index(pendack,host(X5)),index(pendack,host(X6))))))&![X5]:![X6]:![X7]:((((leq(index(pendack,host(X7)),host(X5))|~(setIn(X7,alive)))|~(elem(m_Halt(X7),queue(host(X6)))))|~(index(status,host(X7))=elec_2))|((~(setIn(X5,alive))|~(index(ldr,host(X5))=host(X5)))|~(index(status,host(X5))=norm))))&![X5]:![X6]:![X7]:![X14]:(((((?[X15]:((~(leq(host(X14),X15))&leq(s(zero),X15))&(~(setIn(X15,index(down,host(X14))))&~(X15=host(X7))))|~(elem(m_Down(X7),queue(host(X14)))))|~(host(X14)=host(X6)))|~(host(X14)=nbr_proc))|~(index(status,host(X14))=elec_1))|(~(setIn(X5,alive))|~(elem(m_Down(X6),queue(host(X5)))))))&![X5]:![X6]:![X7]:![X14]:(((((((~(setIn(X14,alive))|~(elem(m_Down(X7),queue(host(X14)))))|~(elem(m_Ack(X14,X6),queue(host(X14)))))|~(leq(nbr_proc,s(index(pendack,host(X14))))))|~(index(status,host(X14))=elec_2))|~(host(X6)=index(pendack,host(X14))))|~(host(X7)=s(index(pendack,host(X14)))))|((~(setIn(X5,alive))|~(index(ldr,host(X5))=host(X5)))|~(index(status,host(X5))=norm))))),inference(fof_nnf,[status(thm)],[74])).
% fof(290, plain,![X16]:(~(epred1_1(X16))|(((((((((((((((![X17]:(~(host(X16)=host(X17))|~(setIn(X17,alive)))&![X18]:![X19]:(~(elem(m_Ldr(X19),queue(host(X18))))|~(leq(host(X18),host(X19)))))&![X20]:![X21]:(~(elem(m_Down(X21),queue(host(X20))))|~(host(X21)=host(X20))))&![X22]:![X23]:(~(elem(m_Halt(X23),queue(host(X22))))|~(leq(host(X22),host(X23)))))&![X24]:![X25]:![X26]:(~(elem(m_Ack(X26,X24),queue(host(X25))))|~(leq(host(X24),host(X26)))))&![X27]:![X28]:((X28=X27|~(host(X28)=host(X27)))|(~(setIn(X27,alive))|~(setIn(X28,alive)))))&![X29]:![X30]:((~(setIn(X30,alive))|~(elem(m_Ack(X30,X29),queue(host(X30)))))|leq(host(X29),index(pendack,host(X30)))))&![X31]:![X32]:((~(setIn(X32,alive))|~(index(status,host(X32))=elec_1))|~(elem(m_Ack(X32,X31),queue(host(X32))))))&![X33]:(((~(index(status,host(X33))=elec_1)&~(index(status,host(X33))=elec_2))|~(setIn(X33,alive)))|index(elid,host(X33))=X33))&![X34]:![X35]:![X36]:(((~(setIn(X36,alive))|~(elem(m_Down(X35),queue(host(X36)))))|~(host(X35)=host(X34)))|((~(setIn(X34,alive))|~(index(ldr,host(X34))=host(X34)))|~(index(status,host(X34))=norm))))&![X37]:![X38]:![X39]:(((((~(setIn(X37,alive))|~(setIn(X39,alive)))|~(host(X39)=host(X38)))|~(index(status,host(X37))=elec_2))|~(index(status,host(X39))=elec_2))|~(elem(m_Ack(X37,X38),queue(host(X37))))))&![X40]:![X41]:(((((leq(host(X40),host(X41))|~(setIn(X40,alive)))|~(setIn(X41,alive)))|~(index(status,host(X40))=elec_2))|~(index(status,host(X41))=elec_2))|leq(index(pendack,host(X41)),host(X40))))&![X42]:![X43]:(((((leq(host(X42),host(X43))|~(setIn(X42,alive)))|~(setIn(X43,alive)))|~(index(status,host(X42))=elec_2))|~(index(status,host(X43))=elec_2))|~(leq(index(pendack,host(X42)),index(pendack,host(X43))))))&![X44]:![X45]:![X46]:((((leq(index(pendack,host(X46)),host(X44))|~(setIn(X46,alive)))|~(elem(m_Halt(X46),queue(host(X45)))))|~(index(status,host(X46))=elec_2))|((~(setIn(X44,alive))|~(index(ldr,host(X44))=host(X44)))|~(index(status,host(X44))=norm))))&![X47]:![X48]:![X49]:![X50]:(((((?[X51]:((~(leq(host(X50),X51))&leq(s(zero),X51))&(~(setIn(X51,index(down,host(X50))))&~(X51=host(X49))))|~(elem(m_Down(X49),queue(host(X50)))))|~(host(X50)=host(X48)))|~(host(X50)=nbr_proc))|~(index(status,host(X50))=elec_1))|(~(setIn(X47,alive))|~(elem(m_Down(X48),queue(host(X47)))))))&![X52]:![X53]:![X54]:![X55]:(((((((~(setIn(X55,alive))|~(elem(m_Down(X54),queue(host(X55)))))|~(elem(m_Ack(X55,X53),queue(host(X55)))))|~(leq(nbr_proc,s(index(pendack,host(X55))))))|~(index(status,host(X55))=elec_2))|~(host(X53)=index(pendack,host(X55))))|~(host(X54)=s(index(pendack,host(X55)))))|((~(setIn(X52,alive))|~(index(ldr,host(X52))=host(X52)))|~(index(status,host(X52))=norm))))),inference(variable_rename,[status(thm)],[289])).
% fof(291, plain,![X16]:(~(epred1_1(X16))|(((((((((((((((![X17]:(~(host(X16)=host(X17))|~(setIn(X17,alive)))&![X18]:![X19]:(~(elem(m_Ldr(X19),queue(host(X18))))|~(leq(host(X18),host(X19)))))&![X20]:![X21]:(~(elem(m_Down(X21),queue(host(X20))))|~(host(X21)=host(X20))))&![X22]:![X23]:(~(elem(m_Halt(X23),queue(host(X22))))|~(leq(host(X22),host(X23)))))&![X24]:![X25]:![X26]:(~(elem(m_Ack(X26,X24),queue(host(X25))))|~(leq(host(X24),host(X26)))))&![X27]:![X28]:((X28=X27|~(host(X28)=host(X27)))|(~(setIn(X27,alive))|~(setIn(X28,alive)))))&![X29]:![X30]:((~(setIn(X30,alive))|~(elem(m_Ack(X30,X29),queue(host(X30)))))|leq(host(X29),index(pendack,host(X30)))))&![X31]:![X32]:((~(setIn(X32,alive))|~(index(status,host(X32))=elec_1))|~(elem(m_Ack(X32,X31),queue(host(X32))))))&![X33]:(((~(index(status,host(X33))=elec_1)&~(index(status,host(X33))=elec_2))|~(setIn(X33,alive)))|index(elid,host(X33))=X33))&![X34]:![X35]:![X36]:(((~(setIn(X36,alive))|~(elem(m_Down(X35),queue(host(X36)))))|~(host(X35)=host(X34)))|((~(setIn(X34,alive))|~(index(ldr,host(X34))=host(X34)))|~(index(status,host(X34))=norm))))&![X37]:![X38]:![X39]:(((((~(setIn(X37,alive))|~(setIn(X39,alive)))|~(host(X39)=host(X38)))|~(index(status,host(X37))=elec_2))|~(index(status,host(X39))=elec_2))|~(elem(m_Ack(X37,X38),queue(host(X37))))))&![X40]:![X41]:(((((leq(host(X40),host(X41))|~(setIn(X40,alive)))|~(setIn(X41,alive)))|~(index(status,host(X40))=elec_2))|~(index(status,host(X41))=elec_2))|leq(index(pendack,host(X41)),host(X40))))&![X42]:![X43]:(((((leq(host(X42),host(X43))|~(setIn(X42,alive)))|~(setIn(X43,alive)))|~(index(status,host(X42))=elec_2))|~(index(status,host(X43))=elec_2))|~(leq(index(pendack,host(X42)),index(pendack,host(X43))))))&![X44]:![X45]:![X46]:((((leq(index(pendack,host(X46)),host(X44))|~(setIn(X46,alive)))|~(elem(m_Halt(X46),queue(host(X45)))))|~(index(status,host(X46))=elec_2))|((~(setIn(X44,alive))|~(index(ldr,host(X44))=host(X44)))|~(index(status,host(X44))=norm))))&![X47]:![X48]:![X49]:![X50]:(((((((~(leq(host(X50),esk10_5(X16,X47,X48,X49,X50)))&leq(s(zero),esk10_5(X16,X47,X48,X49,X50)))&(~(setIn(esk10_5(X16,X47,X48,X49,X50),index(down,host(X50))))&~(esk10_5(X16,X47,X48,X49,X50)=host(X49))))|~(elem(m_Down(X49),queue(host(X50)))))|~(host(X50)=host(X48)))|~(host(X50)=nbr_proc))|~(index(status,host(X50))=elec_1))|(~(setIn(X47,alive))|~(elem(m_Down(X48),queue(host(X47)))))))&![X52]:![X53]:![X54]:![X55]:(((((((~(setIn(X55,alive))|~(elem(m_Down(X54),queue(host(X55)))))|~(elem(m_Ack(X55,X53),queue(host(X55)))))|~(leq(nbr_proc,s(index(pendack,host(X55))))))|~(index(status,host(X55))=elec_2))|~(host(X53)=index(pendack,host(X55))))|~(host(X54)=s(index(pendack,host(X55)))))|((~(setIn(X52,alive))|~(index(ldr,host(X52))=host(X52)))|~(index(status,host(X52))=norm))))),inference(skolemize,[status(esa)],[290])).
% fof(292, plain,![X16]:![X17]:![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]:![X52]:![X53]:![X54]:![X55]:(((((((((~(setIn(X55,alive))|~(elem(m_Down(X54),queue(host(X55)))))|~(elem(m_Ack(X55,X53),queue(host(X55)))))|~(leq(nbr_proc,s(index(pendack,host(X55))))))|~(index(status,host(X55))=elec_2))|~(host(X53)=index(pendack,host(X55))))|~(host(X54)=s(index(pendack,host(X55)))))|((~(setIn(X52,alive))|~(index(ldr,host(X52))=host(X52)))|~(index(status,host(X52))=norm)))&((((((((~(leq(host(X50),esk10_5(X16,X47,X48,X49,X50)))&leq(s(zero),esk10_5(X16,X47,X48,X49,X50)))&(~(setIn(esk10_5(X16,X47,X48,X49,X50),index(down,host(X50))))&~(esk10_5(X16,X47,X48,X49,X50)=host(X49))))|~(elem(m_Down(X49),queue(host(X50)))))|~(host(X50)=host(X48)))|~(host(X50)=nbr_proc))|~(index(status,host(X50))=elec_1))|(~(setIn(X47,alive))|~(elem(m_Down(X48),queue(host(X47))))))&(((((leq(index(pendack,host(X46)),host(X44))|~(setIn(X46,alive)))|~(elem(m_Halt(X46),queue(host(X45)))))|~(index(status,host(X46))=elec_2))|((~(setIn(X44,alive))|~(index(ldr,host(X44))=host(X44)))|~(index(status,host(X44))=norm)))&((((((leq(host(X42),host(X43))|~(setIn(X42,alive)))|~(setIn(X43,alive)))|~(index(status,host(X42))=elec_2))|~(index(status,host(X43))=elec_2))|~(leq(index(pendack,host(X42)),index(pendack,host(X43)))))&((((((leq(host(X40),host(X41))|~(setIn(X40,alive)))|~(setIn(X41,alive)))|~(index(status,host(X40))=elec_2))|~(index(status,host(X41))=elec_2))|leq(index(pendack,host(X41)),host(X40)))&((((((~(setIn(X37,alive))|~(setIn(X39,alive)))|~(host(X39)=host(X38)))|~(index(status,host(X37))=elec_2))|~(index(status,host(X39))=elec_2))|~(elem(m_Ack(X37,X38),queue(host(X37)))))&((((~(setIn(X36,alive))|~(elem(m_Down(X35),queue(host(X36)))))|~(host(X35)=host(X34)))|((~(setIn(X34,alive))|~(index(ldr,host(X34))=host(X34)))|~(index(status,host(X34))=norm)))&((((~(index(status,host(X33))=elec_1)&~(index(status,host(X33))=elec_2))|~(setIn(X33,alive)))|index(elid,host(X33))=X33)&(((~(setIn(X32,alive))|~(index(status,host(X32))=elec_1))|~(elem(m_Ack(X32,X31),queue(host(X32)))))&(((~(setIn(X30,alive))|~(elem(m_Ack(X30,X29),queue(host(X30)))))|leq(host(X29),index(pendack,host(X30))))&(((X28=X27|~(host(X28)=host(X27)))|(~(setIn(X27,alive))|~(setIn(X28,alive))))&((~(elem(m_Ack(X26,X24),queue(host(X25))))|~(leq(host(X24),host(X26))))&((~(elem(m_Halt(X23),queue(host(X22))))|~(leq(host(X22),host(X23))))&((~(elem(m_Down(X21),queue(host(X20))))|~(host(X21)=host(X20)))&((~(elem(m_Ldr(X19),queue(host(X18))))|~(leq(host(X18),host(X19))))&(~(host(X16)=host(X17))|~(setIn(X17,alive))))))))))))))))))|~(epred1_1(X16))),inference(shift_quantors,[status(thm)],[291])).
% fof(293, plain,![X16]:![X17]:![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]:![X52]:![X53]:![X54]:![X55]:(((((((((~(setIn(X55,alive))|~(elem(m_Down(X54),queue(host(X55)))))|~(elem(m_Ack(X55,X53),queue(host(X55)))))|~(leq(nbr_proc,s(index(pendack,host(X55))))))|~(index(status,host(X55))=elec_2))|~(host(X53)=index(pendack,host(X55))))|~(host(X54)=s(index(pendack,host(X55)))))|((~(setIn(X52,alive))|~(index(ldr,host(X52))=host(X52)))|~(index(status,host(X52))=norm)))|~(epred1_1(X16)))&(((((((((~(leq(host(X50),esk10_5(X16,X47,X48,X49,X50)))|~(elem(m_Down(X49),queue(host(X50)))))|~(host(X50)=host(X48)))|~(host(X50)=nbr_proc))|~(index(status,host(X50))=elec_1))|(~(setIn(X47,alive))|~(elem(m_Down(X48),queue(host(X47))))))|~(epred1_1(X16)))&((((((leq(s(zero),esk10_5(X16,X47,X48,X49,X50))|~(elem(m_Down(X49),queue(host(X50)))))|~(host(X50)=host(X48)))|~(host(X50)=nbr_proc))|~(index(status,host(X50))=elec_1))|(~(setIn(X47,alive))|~(elem(m_Down(X48),queue(host(X47))))))|~(epred1_1(X16))))&(((((((~(setIn(esk10_5(X16,X47,X48,X49,X50),index(down,host(X50))))|~(elem(m_Down(X49),queue(host(X50)))))|~(host(X50)=host(X48)))|~(host(X50)=nbr_proc))|~(index(status,host(X50))=elec_1))|(~(setIn(X47,alive))|~(elem(m_Down(X48),queue(host(X47))))))|~(epred1_1(X16)))&((((((~(esk10_5(X16,X47,X48,X49,X50)=host(X49))|~(elem(m_Down(X49),queue(host(X50)))))|~(host(X50)=host(X48)))|~(host(X50)=nbr_proc))|~(index(status,host(X50))=elec_1))|(~(setIn(X47,alive))|~(elem(m_Down(X48),queue(host(X47))))))|~(epred1_1(X16)))))&((((((leq(index(pendack,host(X46)),host(X44))|~(setIn(X46,alive)))|~(elem(m_Halt(X46),queue(host(X45)))))|~(index(status,host(X46))=elec_2))|((~(setIn(X44,alive))|~(index(ldr,host(X44))=host(X44)))|~(index(status,host(X44))=norm)))|~(epred1_1(X16)))&(((((((leq(host(X42),host(X43))|~(setIn(X42,alive)))|~(setIn(X43,alive)))|~(index(status,host(X42))=elec_2))|~(index(status,host(X43))=elec_2))|~(leq(index(pendack,host(X42)),index(pendack,host(X43)))))|~(epred1_1(X16)))&(((((((leq(host(X40),host(X41))|~(setIn(X40,alive)))|~(setIn(X41,alive)))|~(index(status,host(X40))=elec_2))|~(index(status,host(X41))=elec_2))|leq(index(pendack,host(X41)),host(X40)))|~(epred1_1(X16)))&(((((((~(setIn(X37,alive))|~(setIn(X39,alive)))|~(host(X39)=host(X38)))|~(index(status,host(X37))=elec_2))|~(index(status,host(X39))=elec_2))|~(elem(m_Ack(X37,X38),queue(host(X37)))))|~(epred1_1(X16)))&(((((~(setIn(X36,alive))|~(elem(m_Down(X35),queue(host(X36)))))|~(host(X35)=host(X34)))|((~(setIn(X34,alive))|~(index(ldr,host(X34))=host(X34)))|~(index(status,host(X34))=norm)))|~(epred1_1(X16)))&(((((~(index(status,host(X33))=elec_1)|~(setIn(X33,alive)))|index(elid,host(X33))=X33)|~(epred1_1(X16)))&(((~(index(status,host(X33))=elec_2)|~(setIn(X33,alive)))|index(elid,host(X33))=X33)|~(epred1_1(X16))))&((((~(setIn(X32,alive))|~(index(status,host(X32))=elec_1))|~(elem(m_Ack(X32,X31),queue(host(X32)))))|~(epred1_1(X16)))&((((~(setIn(X30,alive))|~(elem(m_Ack(X30,X29),queue(host(X30)))))|leq(host(X29),index(pendack,host(X30))))|~(epred1_1(X16)))&((((X28=X27|~(host(X28)=host(X27)))|(~(setIn(X27,alive))|~(setIn(X28,alive))))|~(epred1_1(X16)))&(((~(elem(m_Ack(X26,X24),queue(host(X25))))|~(leq(host(X24),host(X26))))|~(epred1_1(X16)))&(((~(elem(m_Halt(X23),queue(host(X22))))|~(leq(host(X22),host(X23))))|~(epred1_1(X16)))&(((~(elem(m_Down(X21),queue(host(X20))))|~(host(X21)=host(X20)))|~(epred1_1(X16)))&(((~(elem(m_Ldr(X19),queue(host(X18))))|~(leq(host(X18),host(X19))))|~(epred1_1(X16)))&((~(host(X16)=host(X17))|~(setIn(X17,alive)))|~(epred1_1(X16)))))))))))))))))),inference(distribute,[status(thm)],[292])).
% cnf(313,plain,(~epred1_1(X1)|index(status,host(X2))!=norm|index(ldr,host(X2))!=host(X2)|~setIn(X2,alive)|host(X3)!=s(index(pendack,host(X4)))|host(X5)!=index(pendack,host(X4))|index(status,host(X4))!=elec_2|~leq(nbr_proc,s(index(pendack,host(X4))))|~elem(m_Ack(X4,X5),queue(host(X4)))|~elem(m_Down(X3),queue(host(X4)))|~setIn(X4,alive)),inference(split_conjunct,[status(thm)],[293])).
% cnf(317,negated_conjecture,(leq(nbr_proc,s(host(esk7_0)))),inference(rw,[status(thm)],[279,275,theory(equality)])).
% cnf(318,negated_conjecture,(s(host(esk7_0))=host(esk8_0)),inference(rw,[status(thm)],[274,275,theory(equality)])).
% cnf(319,negated_conjecture,(leq(nbr_proc,host(esk8_0))),inference(rw,[status(thm)],[317,318,theory(equality)])).
% fof(363, plain,(~(epred16_0)<=>![X4]:![X5]:![X3]:((((((~(s(index(pendack,host(X4)))=host(X3))|~(index(pendack,host(X4))=host(X5)))|~(index(status,host(X4))=elec_2))|~(leq(nbr_proc,s(index(pendack,host(X4))))))|~(setIn(X4,alive)))|~(elem(m_Ack(X4,X5),queue(host(X4)))))|~(elem(m_Down(X3),queue(host(X4)))))),introduced(definition),['split']).
% cnf(364,plain,(epred16_0|~elem(m_Down(X3),queue(host(X4)))|~elem(m_Ack(X4,X5),queue(host(X4)))|~setIn(X4,alive)|~leq(nbr_proc,s(index(pendack,host(X4))))|index(status,host(X4))!=elec_2|index(pendack,host(X4))!=host(X5)|s(index(pendack,host(X4)))!=host(X3)),inference(split_equiv,[status(thm)],[363])).
% fof(365, plain,(~(epred17_0)<=>![X2]:((~(index(ldr,host(X2))=host(X2))|~(index(status,host(X2))=norm))|~(setIn(X2,alive)))),introduced(definition),['split']).
% cnf(366,plain,(epred17_0|~setIn(X2,alive)|index(status,host(X2))!=norm|index(ldr,host(X2))!=host(X2)),inference(split_equiv,[status(thm)],[365])).
% fof(367, plain,(~(epred18_0)<=>![X1]:~(epred1_1(X1))),introduced(definition),['split']).
% cnf(368,plain,(epred18_0|~epred1_1(X1)),inference(split_equiv,[status(thm)],[367])).
% cnf(369,plain,(~epred18_0|~epred17_0|~epred16_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[313,363,theory(equality)]),365,theory(equality)]),367,theory(equality)]),['split']).
% cnf(381,negated_conjecture,(epred18_0),inference(spm,[status(thm)],[368,269,theory(equality)])).
% cnf(388,plain,(~leq(s(s(X1)),X1)),inference(spm,[status(thm)],[136,157,theory(equality)])).
% cnf(399,negated_conjecture,(leq(X1,host(esk4_0))|host(esk4_0)!=X1),inference(spm,[status(thm)],[158,285,theory(equality)])).
% cnf(425,plain,(leq(X1,X2)|~leq(s(X1),X2)),inference(spm,[status(thm)],[152,157,theory(equality)])).
% cnf(429,negated_conjecture,(host(esk8_0)=nbr_proc|~leq(host(esk8_0),nbr_proc)),inference(spm,[status(thm)],[146,319,theory(equality)])).
% cnf(438,negated_conjecture,(host(esk8_0)=nbr_proc|$false),inference(rw,[status(thm)],[429,88,theory(equality)])).
% cnf(439,negated_conjecture,(host(esk8_0)=nbr_proc),inference(cn,[status(thm)],[438,theory(equality)])).
% cnf(482,negated_conjecture,(m_Down(esk8_0)=m_Halt(esk4_0)|elem(m_Down(esk8_0),queue(host(esk9_0)))),inference(spm,[status(thm)],[134,278,theory(equality)])).
% cnf(483,negated_conjecture,(m_Ack(esk9_0,esk7_0)=m_Halt(esk4_0)|elem(m_Ack(esk9_0,esk7_0),queue(host(esk9_0)))),inference(spm,[status(thm)],[134,277,theory(equality)])).
% cnf(486,negated_conjecture,(elem(m_Down(esk8_0),queue(host(esk9_0)))),inference(sr,[status(thm)],[482,99,theory(equality)])).
% cnf(487,negated_conjecture,(elem(m_Ack(esk9_0,esk7_0),queue(host(esk9_0)))),inference(sr,[status(thm)],[483,93,theory(equality)])).
% cnf(545,negated_conjecture,(epred17_0|index(status,host(esk6_0))!=norm|~setIn(esk6_0,alive)),inference(spm,[status(thm)],[366,272,theory(equality)])).
% cnf(546,negated_conjecture,(epred17_0|$false|~setIn(esk6_0,alive)),inference(rw,[status(thm)],[545,271,theory(equality)])).
% cnf(547,negated_conjecture,(epred17_0|~setIn(esk6_0,alive)),inference(cn,[status(thm)],[546,theory(equality)])).
% cnf(770,plain,($false|~epred17_0|~epred16_0),inference(rw,[status(thm)],[369,381,theory(equality)])).
% cnf(771,plain,(~epred17_0|~epred16_0),inference(cn,[status(thm)],[770,theory(equality)])).
% cnf(788,plain,(epred16_0|s(index(pendack,host(esk9_0)))!=host(X1)|index(pendack,host(esk9_0))!=host(esk7_0)|index(status,host(esk9_0))!=elec_2|~leq(nbr_proc,s(index(pendack,host(esk9_0))))|~setIn(esk9_0,alive)|~elem(m_Down(X1),queue(host(esk9_0)))),inference(spm,[status(thm)],[364,487,theory(equality)])).
% cnf(796,plain,(epred16_0|nbr_proc!=host(X1)|index(pendack,host(esk9_0))!=host(esk7_0)|index(status,host(esk9_0))!=elec_2|~leq(nbr_proc,s(index(pendack,host(esk9_0))))|~setIn(esk9_0,alive)|~elem(m_Down(X1),queue(host(esk9_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[788,275,theory(equality)]),318,theory(equality)]),439,theory(equality)])).
% cnf(797,plain,(epred16_0|nbr_proc!=host(X1)|$false|index(status,host(esk9_0))!=elec_2|~leq(nbr_proc,s(index(pendack,host(esk9_0))))|~setIn(esk9_0,alive)|~elem(m_Down(X1),queue(host(esk9_0)))),inference(rw,[status(thm)],[796,275,theory(equality)])).
% cnf(798,plain,(epred16_0|nbr_proc!=host(X1)|$false|$false|~leq(nbr_proc,s(index(pendack,host(esk9_0))))|~setIn(esk9_0,alive)|~elem(m_Down(X1),queue(host(esk9_0)))),inference(rw,[status(thm)],[797,276,theory(equality)])).
% cnf(799,plain,(epred16_0|nbr_proc!=host(X1)|$false|$false|$false|~setIn(esk9_0,alive)|~elem(m_Down(X1),queue(host(esk9_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[798,275,theory(equality)]),318,theory(equality)]),439,theory(equality)]),138,theory(equality)])).
% cnf(800,plain,(epred16_0|nbr_proc!=host(X1)|~setIn(esk9_0,alive)|~elem(m_Down(X1),queue(host(esk9_0)))),inference(cn,[status(thm)],[799,theory(equality)])).
% cnf(803,negated_conjecture,(epred17_0|esk6_0=esk4_0),inference(spm,[status(thm)],[547,273,theory(equality)])).
% cnf(807,negated_conjecture,(epred17_0),inference(spm,[status(thm)],[283,803,theory(equality)])).
% cnf(813,plain,($false|~epred16_0),inference(rw,[status(thm)],[771,807,theory(equality)])).
% cnf(814,plain,(~epred16_0),inference(cn,[status(thm)],[813,theory(equality)])).
% cnf(859,plain,(~leq(s(s(s(X1))),X1)),inference(spm,[status(thm)],[388,157,theory(equality)])).
% cnf(1351,plain,(~leq(s(s(s(s(X1)))),X1)),inference(spm,[status(thm)],[859,157,theory(equality)])).
% cnf(1477,plain,(leq(X1,s(X2))|~leq(s(X1),X2)),inference(spm,[status(thm)],[425,157,theory(equality)])).
% cnf(7736,negated_conjecture,(leq(X1,s(host(esk4_0)))|host(esk4_0)!=s(X1)),inference(spm,[status(thm)],[1477,399,theory(equality)])).
% cnf(7773,negated_conjecture,(leq(X1,host(esk9_0))|host(esk4_0)!=s(X1)),inference(rw,[status(thm)],[7736,282,theory(equality)])).
% cnf(8968,negated_conjecture,(s(s(s(s(s(host(esk9_0))))))!=host(esk4_0)),inference(spm,[status(thm)],[1351,7773,theory(equality)])).
% cnf(11127,plain,(host(X1)!=nbr_proc|~setIn(esk9_0,alive)|~elem(m_Down(X1),queue(host(esk9_0)))),inference(sr,[status(thm)],[800,814,theory(equality)])).
% cnf(11129,negated_conjecture,(host(esk8_0)!=nbr_proc|~setIn(esk9_0,alive)),inference(spm,[status(thm)],[11127,486,theory(equality)])).
% cnf(11130,negated_conjecture,($false|~setIn(esk9_0,alive)),inference(rw,[status(thm)],[11129,439,theory(equality)])).
% cnf(11131,negated_conjecture,(~setIn(esk9_0,alive)),inference(cn,[status(thm)],[11130,theory(equality)])).
% cnf(11132,negated_conjecture,(esk9_0=esk4_0),inference(sr,[status(thm)],[280,11131,theory(equality)])).
% cnf(11137,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8968,11132,theory(equality)]),282,theory(equality)]),11132,theory(equality)]),282,theory(equality)]),11132,theory(equality)]),282,theory(equality)]),11132,theory(equality)]),282,theory(equality)]),11132,theory(equality)]),282,theory(equality)]),11132,theory(equality)])).
% cnf(11138,negated_conjecture,($false),inference(cn,[status(thm)],[11137,theory(equality)])).
% cnf(11139,negated_conjecture,($false),11138,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2054
% # ...of these trivial : 29
% # ...subsumed : 1125
% # ...remaining for further processing: 900
% # Other redundant clauses eliminated : 8
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 33
% # Backward-rewritten : 165
% # Generated clauses : 7113
% # ...of the previous two non-trivial : 5191
% # Contextual simplify-reflections : 60
% # Paramodulations : 7048
% # Factorizations : 10
% # Equation resolutions : 26
% # Current number of processed clauses: 545
% # Positive orientable unit clauses: 92
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 93
% # Non-unit-clauses : 360
% # Current number of unprocessed clauses: 2348
% # ...number of literals in the above : 8087
% # Clause-clause subsumption calls (NU) : 15572
% # Rec. Clause-clause subsumption calls : 10388
% # Unit Clause-clause subsumption calls : 1014
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 460
% # Indexed BW rewrite successes : 32
% # Backwards rewriting index: 338 leaves, 1.80+/-2.314 terms/leaf
% # Paramod-from index: 122 leaves, 1.46+/-2.154 terms/leaf
% # Paramod-into index: 294 leaves, 1.72+/-2.232 terms/leaf
% # -------------------------------------------------
% # User time : 0.346 s
% # System time : 0.010 s
% # Total time : 0.356 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.55 CPU 0.65 WC
% FINAL PrfWatch: 0.55 CPU 0.65 WC
% SZS output end Solution for /tmp/SystemOnTPTP30385/SWV461+1.tptp
%
%------------------------------------------------------------------------------