TSTP Solution File: SWV466+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV466+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:47:09 EDT 2024
% Result : Theorem 19.39s 2.78s
% Output : CNFRefutation 19.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWV466+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:23:33 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 19.39/2.78 % Refutation found
% 19.39/2.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.39/2.78 % SZS output start CNFRefutation for theBenchmark
% 19.39/2.78 fof(f3,axiom,(
% 19.39/2.78 (! [P] : leq(s(zero),host(P)) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f4,axiom,(
% 19.39/2.78 leq(s(zero),nbr_proc) ),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f5,axiom,(
% 19.39/2.78 (! [P] : leq(host(P),nbr_proc) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f15,axiom,(
% 19.39/2.78 (! [X,Y,Z] : m_Ack(X,Y) != m_Ldr(Z) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f16,axiom,(
% 19.39/2.78 (! [X,Y,Z] : m_Ack(X,Y) != m_NormQ(Z) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f19,axiom,(
% 19.39/2.78 (! [X,Y] : m_Down(X) != m_Ldr(Y) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f21,axiom,(
% 19.39/2.78 (! [X,Y] : m_Down(X) != m_NormQ(Y) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f36,axiom,(
% 19.39/2.78 (! [X,Q] : head(cons(X,Q)) = X )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f38,axiom,(
% 19.39/2.78 (! [Y,Q] : last(snoc(Q,Y)) = Y )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f42,axiom,(
% 19.39/2.78 (! [X,Q] : q_nil != cons(X,Q) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f43,axiom,(
% 19.39/2.78 (! [Y,Q] : q_nil != snoc(Q,Y) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f46,axiom,(
% 19.39/2.78 (! [X] : ~ elem(X,q_nil) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f47,axiom,(
% 19.39/2.78 (! [X,Y,Q] :( elem(X,cons(Y,Q))<=> ( X = Y| elem(X,Q) ) ) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f48,axiom,(
% 19.39/2.78 (! [X,Y,Q] :( elem(X,snoc(Q,Y))<=> ( X = Y| elem(X,Q) ) ) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f49,axiom,(
% 19.39/2.78 (! [X] :( pidElem(X)<=> (? [Y] :( X = m_Halt(Y)| X = m_Down(Y) ) )) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f59,axiom,(
% 19.39/2.78 (! [X] : ~ leq(s(X),X) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f60,axiom,(
% 19.39/2.78 (! [X] : leq(X,X) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f61,axiom,(
% 19.39/2.78 (! [X,Y] :( leq(X,Y)| leq(Y,X) ) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f62,axiom,(
% 19.39/2.78 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )<=> X = Y ) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f63,axiom,(
% 19.39/2.78 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f64,axiom,(
% 19.39/2.78 (! [X,Y] :( leq(X,Y)<=> leq(s(X),s(Y)) ) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f65,axiom,(
% 19.39/2.78 (! [X,Y] :( leq(X,s(Y))<=> ( X = s(Y)| leq(X,Y) ) ) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f67,conjecture,(
% 19.39/2.78 (! [V,W,X,Y] :( ( (! [Z,Pid0] :( elem(m_Ldr(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid0] :( elem(m_Down(Pid0),queue(host(Z)))=> host(Pid0) != host(Z) ))& (! [Z,Pid0] :( elem(m_Halt(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid20,Pid0] :( elem(m_Ack(Pid0,Z),queue(host(Pid20)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid0] :( ( Pid0 != Z& host(Pid0) = host(Z) )=> ( ~ setIn(Z,alive)| ~ setIn(Pid0,alive) ) ))& (! [Z,Pid0] :( ( setIn(Pid0,alive)& elem(m_Ack(Pid0,Z),queue(host(Pid0))) )=> leq(host(Z),index(pendack,host(Pid0))) ))& (! [Z,Pid0] :( ( setIn(Pid0,alive)& index(status,host(Pid0)) = elec_1 )=> ~ elem(m_Ack(Pid0,Z),queue(host(Pid0))) ))& (! [Z] :( ( ( index(status,host(Z)) = elec_1| index(status,host(Z)) = elec_2 )& setIn(Z,alive) )=> index(elid,host(Z)) = Z ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid20) = host(Z) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid0] :( ( ~ leq(host(Z),host(Pid0))& setIn(Z,alive)& setIn(Pid0,alive)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> leq(index(pendack,host(Pid0)),host(Z)) ))& (! [Z,Pid20,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& host(Pid0) = host(Pid20)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Ack(Z,Pid20),queue(host(Z))) ))& (! [Z,Pid0] :( ( ~ leq(host(Z),host(Pid0))& setIn(Z,alive)& setIn(Pid0,alive)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) ))& (! [Z,Pid20,Pid0] :( ( ~ leq(index(pendack,host(Pid0)),host(Z))& setIn(Pid0,alive)& elem(m_Halt(Pid0),queue(host(Pid20)))& index(status,host(Pid0)) = elec_2 )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid30,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid0) = nbr_proc& host(Pid0) = host(Pid30)& index(status,host(Pid0)) = elec_1 )=> ~ ( setIn(Z,alive)& elem(m_Down(Pid30),queue(host(Z))) ) ))& (! [Z,Pid30,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Pid0)))& elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))& leq(nbr_proc,s(index(pendack,host(Pid0))))& index(status,host(Pid0)) = elec_2& host(Pid30) = index(pendack,host(Pid0))& host(Pid20) = s(index(pendack,host(Pid0))) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& queue(host(X)) = cons(m_Down(Y),V) )=> ( setIn(X,alive)=> ( leq(host(X),host(Y))=> ( ( index(status,host(X)) = elec_2& host(Y) = index(pendack,host(X)) )=> ( leq(nbr_proc,index(pendack,host(X)))=> (! [Z] :( setIn(host(Z),index(acks,host(X)))=> (! [V0] :( host(X) = host(V0)=> (! [W0,X0,Y0] :( host(Z) = host(Y0)=> ( host(X) != host(Y0)=> ( ( setIn(Y0,alive)& leq(nbr_proc,s(index(pendack,host(Y0))))& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))& elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Ldr(X)))& index(status,host(Y0)) = elec_2& host(W0) = index(pendack,host(Y0))& host(X0) = s(index(pendack,host(Y0))) )=> ~ ( setIn(V0,alive)& host(X) = host(V0) ) ) ) ) )) )) )) ) ) ) ) )),
% 19.39/2.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.39/2.78 fof(f68,negated_conjecture,(
% 19.39/2.78 ~((! [V,W,X,Y] :( ( (! [Z,Pid0] :( elem(m_Ldr(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid0] :( elem(m_Down(Pid0),queue(host(Z)))=> host(Pid0) != host(Z) ))& (! [Z,Pid0] :( elem(m_Halt(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid20,Pid0] :( elem(m_Ack(Pid0,Z),queue(host(Pid20)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid0] :( ( Pid0 != Z& host(Pid0) = host(Z) )=> ( ~ setIn(Z,alive)| ~ setIn(Pid0,alive) ) ))& (! [Z,Pid0] :( ( setIn(Pid0,alive)& elem(m_Ack(Pid0,Z),queue(host(Pid0))) )=> leq(host(Z),index(pendack,host(Pid0))) ))& (! [Z,Pid0] :( ( setIn(Pid0,alive)& index(status,host(Pid0)) = elec_1 )=> ~ elem(m_Ack(Pid0,Z),queue(host(Pid0))) ))& (! [Z] :( ( ( index(status,host(Z)) = elec_1| index(status,host(Z)) = elec_2 )& setIn(Z,alive) )=> index(elid,host(Z)) = Z ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid20) = host(Z) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid0] :( ( ~ leq(host(Z),host(Pid0))& setIn(Z,alive)& setIn(Pid0,alive)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> leq(index(pendack,host(Pid0)),host(Z)) ))& (! [Z,Pid20,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& host(Pid0) = host(Pid20)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Ack(Z,Pid20),queue(host(Z))) ))& (! [Z,Pid0] :( ( ~ leq(host(Z),host(Pid0))& setIn(Z,alive)& setIn(Pid0,alive)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) ))& (! [Z,Pid20,Pid0] :( ( ~ leq(index(pendack,host(Pid0)),host(Z))& setIn(Pid0,alive)& elem(m_Halt(Pid0),queue(host(Pid20)))& index(status,host(Pid0)) = elec_2 )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid30,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid0) = nbr_proc& host(Pid0) = host(Pid30)& index(status,host(Pid0)) = elec_1 )=> ~ ( setIn(Z,alive)& elem(m_Down(Pid30),queue(host(Z))) ) ))& (! [Z,Pid30,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Pid0)))& elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))& leq(nbr_proc,s(index(pendack,host(Pid0))))& index(status,host(Pid0)) = elec_2& host(Pid30) = index(pendack,host(Pid0))& host(Pid20) = s(index(pendack,host(Pid0))) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& queue(host(X)) = cons(m_Down(Y),V) )=> ( setIn(X,alive)=> ( leq(host(X),host(Y))=> ( ( index(status,host(X)) = elec_2& host(Y) = index(pendack,host(X)) )=> ( leq(nbr_proc,index(pendack,host(X)))=> (! [Z] :( setIn(host(Z),index(acks,host(X)))=> (! [V0] :( host(X) = host(V0)=> (! [W0,X0,Y0] :( host(Z) = host(Y0)=> ( host(X) != host(Y0)=> ( ( setIn(Y0,alive)& leq(nbr_proc,s(index(pendack,host(Y0))))& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))& elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Ldr(X)))& index(status,host(Y0)) = elec_2& host(W0) = index(pendack,host(Y0))& host(X0) = s(index(pendack,host(Y0))) )=> ~ ( setIn(V0,alive)& host(X) = host(V0) ) ) ) ) )) )) )) ) ) ) ) ))),
% 19.39/2.78 inference(negated_conjecture,[status(cth)],[f67])).
% 19.39/2.78 fof(f74,plain,(
% 19.39/2.78 ![X0]: (leq(s(zero),host(X0)))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f3])).
% 19.39/2.78 fof(f75,plain,(
% 19.39/2.78 leq(s(zero),nbr_proc)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f4])).
% 19.39/2.78 fof(f76,plain,(
% 19.39/2.78 ![X0]: (leq(host(X0),nbr_proc))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f5])).
% 19.39/2.78 fof(f86,plain,(
% 19.39/2.78 ![X0,X1,X2]: (~m_Ack(X0,X1)=m_Ldr(X2))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f15])).
% 19.39/2.78 fof(f87,plain,(
% 19.39/2.78 ![X0,X1,X2]: (~m_Ack(X0,X1)=m_NormQ(X2))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f16])).
% 19.39/2.78 fof(f90,plain,(
% 19.39/2.78 ![X0,X1]: (~m_Down(X0)=m_Ldr(X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f19])).
% 19.39/2.78 fof(f92,plain,(
% 19.39/2.78 ![X0,X1]: (~m_Down(X0)=m_NormQ(X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f21])).
% 19.39/2.78 fof(f127,plain,(
% 19.39/2.78 ![X0,X1]: (head(cons(X0,X1))=X0)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f36])).
% 19.39/2.78 fof(f129,plain,(
% 19.39/2.78 ![X0,X1]: (last(snoc(X0,X1))=X1)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f38])).
% 19.39/2.78 fof(f133,plain,(
% 19.39/2.78 ![X0,X1]: (~q_nil=cons(X0,X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f42])).
% 19.39/2.78 fof(f134,plain,(
% 19.39/2.78 ![X0,X1]: (~q_nil=snoc(X0,X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f43])).
% 19.39/2.78 fof(f137,plain,(
% 19.39/2.78 ![X0]: (~elem(X0,q_nil))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f46])).
% 19.39/2.78 fof(f138,plain,(
% 19.39/2.78 ![X,Y,Q]: ((~elem(X,cons(Y,Q))|(X=Y|elem(X,Q)))&(elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 19.39/2.78 inference(NNF_transformation,[status(esa)],[f47])).
% 19.39/2.78 fof(f139,plain,(
% 19.39/2.78 (![X,Y,Q]: (~elem(X,cons(Y,Q))|(X=Y|elem(X,Q))))&(![X,Y,Q]: (elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 19.39/2.78 inference(miniscoping,[status(esa)],[f138])).
% 19.39/2.78 fof(f141,plain,(
% 19.39/2.78 ![X0,X1,X2]: (elem(X0,cons(X1,X2))|~X0=X1)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f139])).
% 19.39/2.78 fof(f143,plain,(
% 19.39/2.78 ![X,Y,Q]: ((~elem(X,snoc(Q,Y))|(X=Y|elem(X,Q)))&(elem(X,snoc(Q,Y))|(~X=Y&~elem(X,Q))))),
% 19.39/2.78 inference(NNF_transformation,[status(esa)],[f48])).
% 19.39/2.78 fof(f144,plain,(
% 19.39/2.78 (![X,Y,Q]: (~elem(X,snoc(Q,Y))|(X=Y|elem(X,Q))))&(![X,Y,Q]: (elem(X,snoc(Q,Y))|(~X=Y&~elem(X,Q))))),
% 19.39/2.78 inference(miniscoping,[status(esa)],[f143])).
% 19.39/2.78 fof(f145,plain,(
% 19.39/2.78 ![X0,X1,X2]: (~elem(X0,snoc(X1,X2))|X0=X2|elem(X0,X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f144])).
% 19.39/2.78 fof(f148,plain,(
% 19.39/2.78 ![X]: ((~pidElem(X)|(?[Y]: (X=m_Halt(Y)|X=m_Down(Y))))&(pidElem(X)|(![Y]: (~X=m_Halt(Y)&~X=m_Down(Y)))))),
% 19.39/2.78 inference(NNF_transformation,[status(esa)],[f49])).
% 19.39/2.78 fof(f149,plain,(
% 19.39/2.78 (![X]: (~pidElem(X)|((?[Y]: X=m_Halt(Y))|(?[Y]: X=m_Down(Y)))))&(![X]: (pidElem(X)|((![Y]: ~X=m_Halt(Y))&(![Y]: ~X=m_Down(Y)))))),
% 19.39/2.78 inference(miniscoping,[status(esa)],[f148])).
% 19.39/2.78 fof(f150,plain,(
% 19.39/2.78 (![X]: (~pidElem(X)|(X=m_Halt(sk0_0(X))|X=m_Down(sk0_1(X)))))&(![X]: (pidElem(X)|((![Y]: ~X=m_Halt(Y))&(![Y]: ~X=m_Down(Y)))))),
% 19.39/2.78 inference(skolemization,[status(esa)],[f149])).
% 19.39/2.78 fof(f153,plain,(
% 19.39/2.78 ![X0,X1]: (pidElem(X0)|~X0=m_Down(X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f150])).
% 19.39/2.78 fof(f191,plain,(
% 19.39/2.78 ![X0]: (~leq(s(X0),X0))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f59])).
% 19.39/2.78 fof(f192,plain,(
% 19.39/2.78 ![X0]: (leq(X0,X0))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f60])).
% 19.39/2.78 fof(f193,plain,(
% 19.39/2.78 ![X0,X1]: (leq(X0,X1)|leq(X1,X0))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f61])).
% 19.39/2.78 fof(f194,plain,(
% 19.39/2.78 ![X,Y]: (((~leq(X,Y)|~leq(Y,X))|X=Y)&((leq(X,Y)&leq(Y,X))|~X=Y))),
% 19.39/2.78 inference(NNF_transformation,[status(esa)],[f62])).
% 19.39/2.78 fof(f195,plain,(
% 19.39/2.78 (![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y))&(![X,Y]: ((leq(X,Y)&leq(Y,X))|~X=Y))),
% 19.39/2.78 inference(miniscoping,[status(esa)],[f194])).
% 19.39/2.78 fof(f196,plain,(
% 19.39/2.78 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f195])).
% 19.39/2.78 fof(f199,plain,(
% 19.39/2.78 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 19.39/2.78 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 19.39/2.78 fof(f200,plain,(
% 19.39/2.78 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 19.39/2.78 inference(miniscoping,[status(esa)],[f199])).
% 19.39/2.78 fof(f201,plain,(
% 19.39/2.78 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f200])).
% 19.39/2.78 fof(f202,plain,(
% 19.39/2.78 ![X,Y]: ((~leq(X,Y)|leq(s(X),s(Y)))&(leq(X,Y)|~leq(s(X),s(Y))))),
% 19.39/2.78 inference(NNF_transformation,[status(esa)],[f64])).
% 19.39/2.78 fof(f203,plain,(
% 19.39/2.78 (![X,Y]: (~leq(X,Y)|leq(s(X),s(Y))))&(![X,Y]: (leq(X,Y)|~leq(s(X),s(Y))))),
% 19.39/2.78 inference(miniscoping,[status(esa)],[f202])).
% 19.39/2.78 fof(f204,plain,(
% 19.39/2.78 ![X0,X1]: (~leq(X0,X1)|leq(s(X0),s(X1)))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f203])).
% 19.39/2.78 fof(f205,plain,(
% 19.39/2.78 ![X0,X1]: (leq(X0,X1)|~leq(s(X0),s(X1)))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f203])).
% 19.39/2.78 fof(f206,plain,(
% 19.39/2.78 ![X,Y]: ((~leq(X,s(Y))|(X=s(Y)|leq(X,Y)))&(leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 19.39/2.78 inference(NNF_transformation,[status(esa)],[f65])).
% 19.39/2.78 fof(f207,plain,(
% 19.39/2.78 (![X,Y]: (~leq(X,s(Y))|(X=s(Y)|leq(X,Y))))&(![X,Y]: (leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 19.39/2.78 inference(miniscoping,[status(esa)],[f206])).
% 19.39/2.78 fof(f208,plain,(
% 19.39/2.78 ![X0,X1]: (~leq(X0,s(X1))|X0=s(X1)|leq(X0,X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f207])).
% 19.39/2.78 fof(f210,plain,(
% 19.39/2.78 ![X0,X1]: (leq(X0,s(X1))|~leq(X0,X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f207])).
% 19.39/2.78 fof(f212,plain,(
% 19.39/2.78 (?[V,W,X,Y]: (((((((((((((((((![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0))))&(![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~host(Pid0)=host(Z))))&(![Z,Pid0]: (~elem(m_Halt(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid20,Pid0]: (~elem(m_Ack(Pid0,Z),queue(host(Pid20)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Z,Pid0]: ((~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Z),queue(host(Pid0))))|leq(host(Z),index(pendack,host(Pid0))))))&(![Z,Pid0]: ((~setIn(Pid0,alive)|~index(status,host(Pid0))=elec_1)|~elem(m_Ack(Pid0,Z),queue(host(Pid0))))))&(![Z]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z,Pid20,Pid0]: (((~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0))))|~host(Pid20)=host(Z))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Z,Pid20,Pid0]: (((((~setIn(Z,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|~elem(m_Ack(Z,Pid20),queue(host(Z))))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|~leq(index(pendack,host(Z)),index(pendack,host(Pid0))))))&(![Z,Pid20,Pid0]: ((((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|~elem(m_Halt(Pid0),queue(host(Pid20))))|~index(status,host(Pid0))=elec_2)|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid30,Pid20,Pid0]: ((((((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|~elem(m_Down(Pid20),queue(host(Pid0))))|~host(Pid0)=nbr_proc)|~host(Pid0)=host(Pid30))|~index(status,host(Pid0))=elec_1)|(~setIn(Z,alive)|~elem(m_Down(Pid30),queue(host(Z)))))))&(![Z,Pid30,Pid20,Pid0]: (((((((~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0))))|~elem(m_Ack(Pid0,Pid30),queue(host(Pid0))))|~leq(nbr_proc,s(index(pendack,host(Pid0)))))|~index(status,host(Pid0))=elec_2)|~host(Pid30)=index(pendack,host(Pid0)))|~host(Pid20)=s(index(pendack,host(Pid0))))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&queue(host(X))=cons(m_Down(Y),V))&(setIn(X,alive)&(leq(host(X),host(Y))&((index(status,host(X))=elec_2&host(Y)=index(pendack,host(X)))&(leq(nbr_proc,index(pendack,host(X)))&(?[Z]: (setIn(host(Z),index(acks,host(X)))&(?[V0]: (host(X)=host(V0)&(?[W0,X0,Y0]: (host(Z)=host(Y0)&(~host(X)=host(Y0)&(((((((setIn(Y0,alive)&leq(nbr_proc,s(index(pendack,host(Y0)))))&elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X))))&elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Ldr(X))))&index(status,host(Y0))=elec_2)&host(W0)=index(pendack,host(Y0)))&host(X0)=s(index(pendack,host(Y0))))&(setIn(V0,alive)&host(X)=host(V0))))))))))))))))),
% 19.39/2.78 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 19.39/2.78 fof(f213,plain,(
% 19.39/2.78 ?[X,Y]: (((((((((((((((((![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0))))&(![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~host(Pid0)=host(Z))))&(![Z,Pid0]: (~elem(m_Halt(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: ((![Pid20]: ~elem(m_Ack(Pid0,Z),queue(host(Pid20))))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Z,Pid0]: ((~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Z),queue(host(Pid0))))|leq(host(Z),index(pendack,host(Pid0))))))&(![Pid0]: ((~setIn(Pid0,alive)|~index(status,host(Pid0))=elec_1)|(![Z]: ~elem(m_Ack(Pid0,Z),queue(host(Pid0)))))))&(![Z]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z]: ((![Pid20]: ((![Pid0]: (~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid20)=host(Z)))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Z,Pid20]: ((![Pid0]: ((((~setIn(Z,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2))|~elem(m_Ack(Z,Pid20),queue(host(Z))))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|~leq(index(pendack,host(Z)),index(pendack,host(Pid0))))))&(![Z]: ((![Pid0]: (((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|(![Pid20]: ~elem(m_Halt(Pid0),queue(host(Pid20)))))|~index(status,host(Pid0))=elec_2))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Pid30]: ((![Pid0]: ((((![Pid20]: ((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid0)=nbr_proc)|~host(Pid0)=host(Pid30))|~index(status,host(Pid0))=elec_1))|(![Z]: (~setIn(Z,alive)|~elem(m_Down(Pid30),queue(host(Z))))))))&((![Pid20,Pid0]: ((![Pid30]: (((((~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0))))|~elem(m_Ack(Pid0,Pid30),queue(host(Pid0))))|~leq(nbr_proc,s(index(pendack,host(Pid0)))))|~index(status,host(Pid0))=elec_2)|~host(Pid30)=index(pendack,host(Pid0))))|~host(Pid20)=s(index(pendack,host(Pid0)))))|(![Z]: ((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(?[V]: queue(host(X))=cons(m_Down(Y),V)))&(setIn(X,alive)&(leq(host(X),host(Y))&((index(status,host(X))=elec_2&host(Y)=index(pendack,host(X)))&(leq(nbr_proc,index(pendack,host(X)))&(?[Z]: (setIn(host(Z),index(acks,host(X)))&(?[V0]: (host(X)=host(V0)&(?[Y0]: (host(Z)=host(Y0)&(~host(X)=host(Y0)&((?[X0]: ((?[W0]: (((((setIn(Y0,alive)&leq(nbr_proc,s(index(pendack,host(Y0)))))&elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X))))&elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Ldr(X))))&index(status,host(Y0))=elec_2)&host(W0)=index(pendack,host(Y0))))&host(X0)=s(index(pendack,host(Y0)))))&(setIn(V0,alive)&host(X)=host(V0)))))))))))))))),
% 19.39/2.78 inference(miniscoping,[status(esa)],[f212])).
% 19.39/2.78 fof(f214,plain,(
% 19.39/2.78 (((((((((((((((((![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0))))&(![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~host(Pid0)=host(Z))))&(![Z,Pid0]: (~elem(m_Halt(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: ((![Pid20]: ~elem(m_Ack(Pid0,Z),queue(host(Pid20))))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Z,Pid0]: ((~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Z),queue(host(Pid0))))|leq(host(Z),index(pendack,host(Pid0))))))&(![Pid0]: ((~setIn(Pid0,alive)|~index(status,host(Pid0))=elec_1)|(![Z]: ~elem(m_Ack(Pid0,Z),queue(host(Pid0)))))))&(![Z]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z]: ((![Pid20]: ((![Pid0]: (~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid20)=host(Z)))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Z,Pid20]: ((![Pid0]: ((((~setIn(Z,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2))|~elem(m_Ack(Z,Pid20),queue(host(Z))))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|~leq(index(pendack,host(Z)),index(pendack,host(Pid0))))))&(![Z]: ((![Pid0]: (((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|(![Pid20]: ~elem(m_Halt(Pid0),queue(host(Pid20)))))|~index(status,host(Pid0))=elec_2))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Pid30]: ((![Pid0]: ((((![Pid20]: (((~leq(host(Pid0),sk0_6(Pid20,Pid0,Pid30))&leq(s(zero),sk0_6(Pid20,Pid0,Pid30)))&(~setIn(sk0_6(Pid20,Pid0,Pid30),index(down,host(Pid0)))&~sk0_6(Pid20,Pid0,Pid30)=host(Pid20)))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid0)=nbr_proc)|~host(Pid0)=host(Pid30))|~index(status,host(Pid0))=elec_1))|(![Z]: (~setIn(Z,alive)|~elem(m_Down(Pid30),queue(host(Z))))))))&((![Pid20,Pid0]: ((![Pid30]: (((((~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0))))|~elem(m_Ack(Pid0,Pid30),queue(host(Pid0))))|~leq(nbr_proc,s(index(pendack,host(Pid0)))))|~index(status,host(Pid0))=elec_2)|~host(Pid30)=index(pendack,host(Pid0))))|~host(Pid20)=s(index(pendack,host(Pid0)))))|(![Z]: ((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&queue(host(sk0_4))=cons(m_Down(sk0_5),sk0_7))&(setIn(sk0_4,alive)&(leq(host(sk0_4),host(sk0_5))&((index(status,host(sk0_4))=elec_2&host(sk0_5)=index(pendack,host(sk0_4)))&(leq(nbr_proc,index(pendack,host(sk0_4)))&(setIn(host(sk0_8),index(acks,host(sk0_4)))&(host(sk0_4)=host(sk0_9)&(host(sk0_8)=host(sk0_10)&(~host(sk0_4)=host(sk0_10)&(((((((setIn(sk0_10,alive)&leq(nbr_proc,s(index(pendack,host(sk0_10)))))&elem(m_Down(sk0_11),snoc(queue(host(sk0_10)),m_Ldr(sk0_4))))&elem(m_Ack(sk0_10,sk0_12),snoc(queue(host(sk0_10)),m_Ldr(sk0_4))))&index(status,host(sk0_10))=elec_2)&host(sk0_12)=index(pendack,host(sk0_10)))&host(sk0_11)=s(index(pendack,host(sk0_10))))&(setIn(sk0_9,alive)&host(sk0_4)=host(sk0_9))))))))))))),
% 19.39/2.78 inference(skolemization,[status(esa)],[f213])).
% 19.39/2.78 fof(f216,plain,(
% 19.39/2.78 ![X0,X1]: (~elem(m_Down(X0),queue(host(X1)))|~host(X0)=host(X1))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f225,plain,(
% 19.39/2.78 ![X0,X1]: (leq(host(X0),host(X1))|~setIn(X0,alive)|~setIn(X1,alive)|~index(status,host(X0))=elec_2|~index(status,host(X1))=elec_2|leq(index(pendack,host(X1)),host(X0)))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f226,plain,(
% 19.39/2.78 ![X0,X1,X2]: (~setIn(X0,alive)|~setIn(X1,alive)|~host(X1)=host(X2)|~index(status,host(X0))=elec_2|~index(status,host(X1))=elec_2|~elem(m_Ack(X0,X2),queue(host(X0))))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f227,plain,(
% 19.39/2.78 ![X0,X1]: (leq(host(X0),host(X1))|~setIn(X0,alive)|~setIn(X1,alive)|~index(status,host(X0))=elec_2|~index(status,host(X1))=elec_2|~leq(index(pendack,host(X0)),index(pendack,host(X1))))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f234,plain,(
% 19.39/2.78 queue(host(sk0_4))=cons(m_Down(sk0_5),sk0_7)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f235,plain,(
% 19.39/2.78 setIn(sk0_4,alive)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f237,plain,(
% 19.39/2.78 index(status,host(sk0_4))=elec_2),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f238,plain,(
% 19.39/2.78 host(sk0_5)=index(pendack,host(sk0_4))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f239,plain,(
% 19.39/2.78 leq(nbr_proc,index(pendack,host(sk0_4)))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f241,plain,(
% 19.39/2.78 host(sk0_4)=host(sk0_9)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f242,plain,(
% 19.39/2.78 host(sk0_8)=host(sk0_10)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f243,plain,(
% 19.39/2.78 ~host(sk0_4)=host(sk0_10)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f244,plain,(
% 19.39/2.78 setIn(sk0_10,alive)),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f245,plain,(
% 19.39/2.78 leq(nbr_proc,s(index(pendack,host(sk0_10))))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f247,plain,(
% 19.39/2.78 elem(m_Ack(sk0_10,sk0_12),snoc(queue(host(sk0_10)),m_Ldr(sk0_4)))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f248,plain,(
% 19.39/2.78 index(status,host(sk0_10))=elec_2),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f249,plain,(
% 19.39/2.78 host(sk0_12)=index(pendack,host(sk0_10))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f250,plain,(
% 19.39/2.78 host(sk0_11)=s(index(pendack,host(sk0_10)))),
% 19.39/2.78 inference(cnf_transformation,[status(esa)],[f214])).
% 19.39/2.78 fof(f260,plain,(
% 19.39/2.78 ![X0,X1]: (elem(X0,cons(X0,X1)))),
% 19.39/2.78 inference(destructive_equality_resolution,[status(esa)],[f141])).
% 19.39/2.78 fof(f263,plain,(
% 19.39/2.78 ![X0]: (pidElem(m_Down(X0)))),
% 19.39/2.78 inference(destructive_equality_resolution,[status(esa)],[f153])).
% 19.39/2.78 fof(f295,plain,(
% 19.39/2.78 spl0_6 <=> setIn(sk0_10,alive)),
% 19.39/2.78 introduced(split_symbol_definition)).
% 19.39/2.78 fof(f297,plain,(
% 19.39/2.78 ~setIn(sk0_10,alive)|spl0_6),
% 19.39/2.78 inference(component_clause,[status(thm)],[f295])).
% 19.39/2.78 fof(f304,plain,(
% 19.39/2.78 spl0_9 <=> leq(nbr_proc,s(index(pendack,host(sk0_10))))),
% 19.39/2.78 introduced(split_symbol_definition)).
% 19.39/2.78 fof(f305,plain,(
% 19.39/2.78 leq(nbr_proc,s(index(pendack,host(sk0_10))))|~spl0_9),
% 19.39/2.78 inference(component_clause,[status(thm)],[f304])).
% 19.39/2.78 fof(f306,plain,(
% 19.39/2.78 ~leq(nbr_proc,s(index(pendack,host(sk0_10))))|spl0_9),
% 19.39/2.78 inference(component_clause,[status(thm)],[f304])).
% 19.39/2.78 fof(f307,plain,(
% 19.39/2.78 spl0_10 <=> index(status,host(sk0_10))=elec_2),
% 19.39/2.78 introduced(split_symbol_definition)).
% 19.39/2.78 fof(f309,plain,(
% 19.39/2.78 ~index(status,host(sk0_10))=elec_2|spl0_10),
% 19.39/2.78 inference(component_clause,[status(thm)],[f307])).
% 19.39/2.78 fof(f324,plain,(
% 19.39/2.78 spl0_15 <=> index(status,host(sk0_9))=elec_2),
% 19.39/2.78 introduced(split_symbol_definition)).
% 19.39/2.78 fof(f325,plain,(
% 19.39/2.78 index(status,host(sk0_9))=elec_2|~spl0_15),
% 19.39/2.78 inference(component_clause,[status(thm)],[f324])).
% 19.39/2.78 fof(f326,plain,(
% 19.39/2.78 ~index(status,host(sk0_9))=elec_2|spl0_15),
% 19.39/2.78 inference(component_clause,[status(thm)],[f324])).
% 19.39/2.78 fof(f329,plain,(
% 19.39/2.78 ~index(status,host(sk0_4))=elec_2|spl0_15),
% 19.39/2.78 inference(forward_demodulation,[status(thm)],[f241,f326])).
% 19.39/2.78 fof(f333,plain,(
% 19.39/2.78 ~index(status,host(sk0_8))=elec_2|spl0_10),
% 19.39/2.78 inference(forward_demodulation,[status(thm)],[f242,f309])).
% 19.39/2.78 fof(f334,plain,(
% 19.39/2.78 ~host(sk0_4)=host(sk0_8)),
% 19.39/2.78 inference(forward_demodulation,[status(thm)],[f242,f243])).
% 19.39/2.78 fof(f335,plain,(
% 19.39/2.78 $false|spl0_15),
% 19.39/2.78 inference(forward_subsumption_resolution,[status(thm)],[f237,f329])).
% 19.39/2.78 fof(f336,plain,(
% 19.39/2.78 spl0_15),
% 19.39/2.78 inference(contradiction_clause,[status(thm)],[f335])).
% 19.39/2.78 fof(f337,plain,(
% 19.39/2.78 index(status,host(sk0_4))=elec_2|~spl0_15),
% 19.39/2.78 inference(forward_demodulation,[status(thm)],[f241,f325])).
% 19.39/2.78 fof(f338,plain,(
% 19.39/2.78 index(status,host(sk0_8))=elec_2),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f248])).
% 19.39/2.79 fof(f339,plain,(
% 19.39/2.79 $false|spl0_10),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f338,f333])).
% 19.39/2.79 fof(f340,plain,(
% 19.39/2.79 spl0_10),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f339])).
% 19.39/2.79 fof(f341,plain,(
% 19.39/2.79 ~leq(nbr_proc,s(index(pendack,host(sk0_8))))|spl0_9),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f306])).
% 19.39/2.79 fof(f352,plain,(
% 19.39/2.79 leq(nbr_proc,host(sk0_5))),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f238,f239])).
% 19.39/2.79 fof(f353,plain,(
% 19.39/2.79 host(sk0_12)=index(pendack,host(sk0_8))),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f249])).
% 19.39/2.79 fof(f354,plain,(
% 19.39/2.79 ~leq(nbr_proc,s(host(sk0_12)))|spl0_9),
% 19.39/2.79 inference(backward_demodulation,[status(thm)],[f353,f341])).
% 19.39/2.79 fof(f355,plain,(
% 19.39/2.79 leq(nbr_proc,s(index(pendack,host(sk0_8))))),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f245])).
% 19.39/2.79 fof(f356,plain,(
% 19.39/2.79 leq(nbr_proc,s(host(sk0_12)))),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f353,f355])).
% 19.39/2.79 fof(f357,plain,(
% 19.39/2.79 $false|spl0_9),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f356,f354])).
% 19.39/2.79 fof(f358,plain,(
% 19.39/2.79 spl0_9),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f357])).
% 19.39/2.79 fof(f359,plain,(
% 19.39/2.79 $false|spl0_6),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f297,f244])).
% 19.39/2.79 fof(f360,plain,(
% 19.39/2.79 spl0_6),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f359])).
% 19.39/2.79 fof(f361,plain,(
% 19.39/2.79 leq(nbr_proc,s(index(pendack,host(sk0_8))))|~spl0_9),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f305])).
% 19.39/2.79 fof(f362,plain,(
% 19.39/2.79 leq(nbr_proc,s(host(sk0_12)))|~spl0_9),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f353,f361])).
% 19.39/2.79 fof(f365,plain,(
% 19.39/2.79 host(sk0_11)=s(index(pendack,host(sk0_8)))),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f250])).
% 19.39/2.79 fof(f366,plain,(
% 19.39/2.79 host(sk0_11)=s(host(sk0_12))),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f353,f365])).
% 19.39/2.79 fof(f368,plain,(
% 19.39/2.79 leq(nbr_proc,host(sk0_11))|~spl0_9),
% 19.39/2.79 inference(backward_demodulation,[status(thm)],[f366,f362])).
% 19.39/2.79 fof(f437,plain,(
% 19.39/2.79 spl0_28 <=> host(sk0_4)=host(sk0_8)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f438,plain,(
% 19.39/2.79 host(sk0_4)=host(sk0_8)|~spl0_28),
% 19.39/2.79 inference(component_clause,[status(thm)],[f437])).
% 19.39/2.79 fof(f473,plain,(
% 19.39/2.79 elem(m_Down(sk0_5),queue(host(sk0_4)))),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f234,f260])).
% 19.39/2.79 fof(f475,plain,(
% 19.39/2.79 head(queue(host(sk0_4)))=m_Down(sk0_5)),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f234,f127])).
% 19.39/2.79 fof(f477,plain,(
% 19.39/2.79 ![X0]: (leq(X0,s(X0)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f193,f191])).
% 19.39/2.79 fof(f525,plain,(
% 19.39/2.79 ~host(sk0_5)=host(sk0_4)),
% 19.39/2.79 inference(resolution,[status(thm)],[f473,f216])).
% 19.39/2.79 fof(f526,plain,(
% 19.39/2.79 spl0_37 <=> setIn(sk0_4,alive)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f528,plain,(
% 19.39/2.79 ~setIn(sk0_4,alive)|spl0_37),
% 19.39/2.79 inference(component_clause,[status(thm)],[f526])).
% 19.39/2.79 fof(f535,plain,(
% 19.39/2.79 spl0_40 <=> index(status,host(sk0_4))=elec_2),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f537,plain,(
% 19.39/2.79 ~index(status,host(sk0_4))=elec_2|spl0_40),
% 19.39/2.79 inference(component_clause,[status(thm)],[f535])).
% 19.39/2.79 fof(f544,plain,(
% 19.39/2.79 ~elec_2=elec_2|~spl0_15|spl0_40),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f337,f537])).
% 19.39/2.79 fof(f545,plain,(
% 19.39/2.79 $false|~spl0_15|spl0_40),
% 19.39/2.79 inference(trivial_equality_resolution,[status(esa)],[f544])).
% 19.39/2.79 fof(f546,plain,(
% 19.39/2.79 ~spl0_15|spl0_40),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f545])).
% 19.39/2.79 fof(f547,plain,(
% 19.39/2.79 $false|spl0_37),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f528,f235])).
% 19.39/2.79 fof(f548,plain,(
% 19.39/2.79 spl0_37),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f547])).
% 19.39/2.79 fof(f562,plain,(
% 19.39/2.79 elem(m_Ack(sk0_10,sk0_12),snoc(queue(host(sk0_8)),m_Ldr(sk0_4)))),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f247])).
% 19.39/2.79 fof(f606,plain,(
% 19.39/2.79 spl0_52 <=> ~setIn(X0,alive)|~host(sk0_4)=host(X1)|~index(status,host(X0))=elec_2|~elem(m_Ack(X0,X1),queue(host(X0)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f607,plain,(
% 19.39/2.79 ![X0,X1]: (~setIn(X0,alive)|~host(sk0_4)=host(X1)|~index(status,host(X0))=elec_2|~elem(m_Ack(X0,X1),queue(host(X0)))|~spl0_52)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f606])).
% 19.39/2.79 fof(f609,plain,(
% 19.39/2.79 ![X0,X1]: (~setIn(X0,alive)|~host(sk0_4)=host(X1)|~index(status,host(X0))=elec_2|~index(status,host(sk0_4))=elec_2|~elem(m_Ack(X0,X1),queue(host(X0))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f226,f235])).
% 19.39/2.79 fof(f610,plain,(
% 19.39/2.79 spl0_52|~spl0_40),
% 19.39/2.79 inference(split_clause,[status(thm)],[f609,f606,f535])).
% 19.39/2.79 fof(f612,plain,(
% 19.39/2.79 spl0_53 <=> ~host(sk0_4)=host(X0)|~elem(m_Ack(sk0_10,X0),queue(host(sk0_8)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f613,plain,(
% 19.39/2.79 ![X0]: (~host(sk0_4)=host(X0)|~elem(m_Ack(sk0_10,X0),queue(host(sk0_8)))|~spl0_53)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f612])).
% 19.39/2.79 fof(f615,plain,(
% 19.39/2.79 ![X0]: (~setIn(sk0_10,alive)|~host(sk0_4)=host(X0)|~index(status,host(sk0_10))=elec_2|~elem(m_Ack(sk0_10,X0),queue(host(sk0_8)))|~spl0_52)),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f242,f607])).
% 19.39/2.79 fof(f616,plain,(
% 19.39/2.79 ~spl0_6|spl0_53|~spl0_10|~spl0_52),
% 19.39/2.79 inference(split_clause,[status(thm)],[f615,f295,f612,f307,f606])).
% 19.39/2.79 fof(f627,plain,(
% 19.39/2.79 spl0_56 <=> leq(host(sk0_4),host(X0))|~setIn(X0,alive)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sk0_4))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f628,plain,(
% 19.39/2.79 ![X0]: (leq(host(sk0_4),host(X0))|~setIn(X0,alive)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sk0_4))|~spl0_56)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f627])).
% 19.39/2.79 fof(f630,plain,(
% 19.39/2.79 ![X0]: (leq(host(sk0_4),host(X0))|~setIn(X0,alive)|~index(status,host(sk0_4))=elec_2|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sk0_4)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f225,f235])).
% 19.39/2.79 fof(f631,plain,(
% 19.39/2.79 spl0_56|~spl0_40),
% 19.39/2.79 inference(split_clause,[status(thm)],[f630,f627,f535])).
% 19.39/2.79 fof(f634,plain,(
% 19.39/2.79 spl0_57 <=> leq(host(sk0_4),host(sk0_10))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f635,plain,(
% 19.39/2.79 leq(host(sk0_4),host(sk0_10))|~spl0_57),
% 19.39/2.79 inference(component_clause,[status(thm)],[f634])).
% 19.39/2.79 fof(f637,plain,(
% 19.39/2.79 spl0_58 <=> leq(index(pendack,host(sk0_10)),host(sk0_4))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f638,plain,(
% 19.39/2.79 leq(index(pendack,host(sk0_10)),host(sk0_4))|~spl0_58),
% 19.39/2.79 inference(component_clause,[status(thm)],[f637])).
% 19.39/2.79 fof(f640,plain,(
% 19.39/2.79 leq(host(sk0_4),host(sk0_10))|~index(status,host(sk0_10))=elec_2|leq(index(pendack,host(sk0_10)),host(sk0_4))|~spl0_56),
% 19.39/2.79 inference(resolution,[status(thm)],[f628,f244])).
% 19.39/2.79 fof(f641,plain,(
% 19.39/2.79 spl0_57|~spl0_10|spl0_58|~spl0_56),
% 19.39/2.79 inference(split_clause,[status(thm)],[f640,f634,f307,f637,f627])).
% 19.39/2.79 fof(f650,plain,(
% 19.39/2.79 leq(host(sk0_4),host(sk0_8))|~spl0_57),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f635])).
% 19.39/2.79 fof(f659,plain,(
% 19.39/2.79 spl0_63 <=> leq(host(sk0_8),host(sk0_4))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f692,plain,(
% 19.39/2.79 spl0_69 <=> leq(host(sk0_10),host(X0))|~setIn(X0,alive)|~index(status,host(X0))=elec_2|~leq(index(pendack,host(sk0_8)),index(pendack,host(X0)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f693,plain,(
% 19.39/2.79 ![X0]: (leq(host(sk0_10),host(X0))|~setIn(X0,alive)|~index(status,host(X0))=elec_2|~leq(index(pendack,host(sk0_8)),index(pendack,host(X0)))|~spl0_69)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f692])).
% 19.39/2.79 fof(f695,plain,(
% 19.39/2.79 ![X0]: (leq(host(sk0_10),host(X0))|~setIn(sk0_10,alive)|~setIn(X0,alive)|~index(status,host(sk0_10))=elec_2|~index(status,host(X0))=elec_2|~leq(index(pendack,host(sk0_8)),index(pendack,host(X0))))),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f242,f227])).
% 19.39/2.79 fof(f696,plain,(
% 19.39/2.79 spl0_69|~spl0_6|~spl0_10),
% 19.39/2.79 inference(split_clause,[status(thm)],[f695,f692,f295,f307])).
% 19.39/2.79 fof(f715,plain,(
% 19.39/2.79 ![X0]: (leq(host(sk0_8),host(X0))|~setIn(X0,alive)|~index(status,host(X0))=elec_2|~leq(index(pendack,host(sk0_8)),index(pendack,host(X0)))|~spl0_69)),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f693])).
% 19.39/2.79 fof(f716,plain,(
% 19.39/2.79 ![X0]: (leq(host(sk0_8),host(X0))|~setIn(X0,alive)|~index(status,host(X0))=elec_2|~leq(host(sk0_12),index(pendack,host(X0)))|~spl0_69)),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f353,f715])).
% 19.39/2.79 fof(f736,plain,(
% 19.39/2.79 spl0_76 <=> host(sk0_4)=nbr_proc),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f787,plain,(
% 19.39/2.79 spl0_85 <=> leq(host(sk0_11),nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f789,plain,(
% 19.39/2.79 ~leq(host(sk0_11),nbr_proc)|spl0_85),
% 19.39/2.79 inference(component_clause,[status(thm)],[f787])).
% 19.39/2.79 fof(f790,plain,(
% 19.39/2.79 spl0_86 <=> nbr_proc=host(sk0_11)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f791,plain,(
% 19.39/2.79 nbr_proc=host(sk0_11)|~spl0_86),
% 19.39/2.79 inference(component_clause,[status(thm)],[f790])).
% 19.39/2.79 fof(f793,plain,(
% 19.39/2.79 ~leq(host(sk0_11),nbr_proc)|nbr_proc=host(sk0_11)|~spl0_9),
% 19.39/2.79 inference(resolution,[status(thm)],[f196,f368])).
% 19.39/2.79 fof(f794,plain,(
% 19.39/2.79 ~spl0_85|spl0_86|~spl0_9),
% 19.39/2.79 inference(split_clause,[status(thm)],[f793,f787,f790,f304])).
% 19.39/2.79 fof(f795,plain,(
% 19.39/2.79 spl0_87 <=> leq(host(sk0_5),nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f797,plain,(
% 19.39/2.79 ~leq(host(sk0_5),nbr_proc)|spl0_87),
% 19.39/2.79 inference(component_clause,[status(thm)],[f795])).
% 19.39/2.79 fof(f798,plain,(
% 19.39/2.79 spl0_88 <=> nbr_proc=host(sk0_5)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f799,plain,(
% 19.39/2.79 nbr_proc=host(sk0_5)|~spl0_88),
% 19.39/2.79 inference(component_clause,[status(thm)],[f798])).
% 19.39/2.79 fof(f801,plain,(
% 19.39/2.79 ~leq(host(sk0_5),nbr_proc)|nbr_proc=host(sk0_5)),
% 19.39/2.79 inference(resolution,[status(thm)],[f196,f352])).
% 19.39/2.79 fof(f802,plain,(
% 19.39/2.79 ~spl0_87|spl0_88),
% 19.39/2.79 inference(split_clause,[status(thm)],[f801,f795,f798])).
% 19.39/2.79 fof(f816,plain,(
% 19.39/2.79 ~leq(host(sk0_8),host(sk0_4))|host(sk0_4)=host(sk0_8)|~spl0_57),
% 19.39/2.79 inference(resolution,[status(thm)],[f196,f650])).
% 19.39/2.79 fof(f817,plain,(
% 19.39/2.79 ~spl0_63|spl0_28|~spl0_57),
% 19.39/2.79 inference(split_clause,[status(thm)],[f816,f659,f437,f634])).
% 19.39/2.79 fof(f842,plain,(
% 19.39/2.79 $false|spl0_85),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f789,f76])).
% 19.39/2.79 fof(f843,plain,(
% 19.39/2.79 spl0_85),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f842])).
% 19.39/2.79 fof(f844,plain,(
% 19.39/2.79 $false|spl0_87),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f797,f76])).
% 19.39/2.79 fof(f845,plain,(
% 19.39/2.79 spl0_87),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f844])).
% 19.39/2.79 fof(f847,plain,(
% 19.39/2.79 leq(index(pendack,host(sk0_8)),host(sk0_4))|~spl0_58),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f638])).
% 19.39/2.79 fof(f848,plain,(
% 19.39/2.79 leq(host(sk0_12),host(sk0_4))|~spl0_58),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f353,f847])).
% 19.39/2.79 fof(f861,plain,(
% 19.39/2.79 $false|~spl0_28),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f438,f334])).
% 19.39/2.79 fof(f862,plain,(
% 19.39/2.79 ~spl0_28),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f861])).
% 19.39/2.79 fof(f870,plain,(
% 19.39/2.79 ![X0]: (leq(host(X0),s(nbr_proc)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f210,f76])).
% 19.39/2.79 fof(f871,plain,(
% 19.39/2.79 leq(s(zero),s(nbr_proc))),
% 19.39/2.79 inference(resolution,[status(thm)],[f210,f75])).
% 19.39/2.79 fof(f872,plain,(
% 19.39/2.79 ![X0]: (leq(s(zero),s(host(X0))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f210,f74])).
% 19.39/2.79 fof(f873,plain,(
% 19.39/2.79 ![X0]: (leq(X0,s(s(X0))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f210,f477])).
% 19.39/2.79 fof(f879,plain,(
% 19.39/2.79 ![X0]: (leq(X0,s(s(s(X0)))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f873,f210])).
% 19.39/2.79 fof(f908,plain,(
% 19.39/2.79 leq(s(zero),s(s(nbr_proc)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f871,f210])).
% 19.39/2.79 fof(f921,plain,(
% 19.39/2.79 ![X0]: (leq(X0,s(s(s(s(X0))))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f879,f210])).
% 19.39/2.79 fof(f971,plain,(
% 19.39/2.79 spl0_100 <=> m_Ack(sk0_10,sk0_12)=m_Ldr(sk0_4)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f972,plain,(
% 19.39/2.79 m_Ack(sk0_10,sk0_12)=m_Ldr(sk0_4)|~spl0_100),
% 19.39/2.79 inference(component_clause,[status(thm)],[f971])).
% 19.39/2.79 fof(f974,plain,(
% 19.39/2.79 spl0_101 <=> elem(m_Ack(sk0_10,sk0_12),queue(host(sk0_8)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f975,plain,(
% 19.39/2.79 elem(m_Ack(sk0_10,sk0_12),queue(host(sk0_8)))|~spl0_101),
% 19.39/2.79 inference(component_clause,[status(thm)],[f974])).
% 19.39/2.79 fof(f977,plain,(
% 19.39/2.79 m_Ack(sk0_10,sk0_12)=m_Ldr(sk0_4)|elem(m_Ack(sk0_10,sk0_12),queue(host(sk0_8)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f145,f562])).
% 19.39/2.79 fof(f978,plain,(
% 19.39/2.79 spl0_100|spl0_101),
% 19.39/2.79 inference(split_clause,[status(thm)],[f977,f971,f974])).
% 19.39/2.79 fof(f993,plain,(
% 19.39/2.79 $false|~spl0_100),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f972,f86])).
% 19.39/2.79 fof(f994,plain,(
% 19.39/2.79 ~spl0_100),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f993])).
% 19.39/2.79 fof(f1054,plain,(
% 19.39/2.79 nbr_proc=index(pendack,host(sk0_4))|~spl0_88),
% 19.39/2.79 inference(backward_demodulation,[status(thm)],[f799,f238])).
% 19.39/2.79 fof(f1157,plain,(
% 19.39/2.79 nbr_proc=s(host(sk0_12))|~spl0_86),
% 19.39/2.79 inference(backward_demodulation,[status(thm)],[f791,f366])).
% 19.39/2.79 fof(f1363,plain,(
% 19.39/2.79 spl0_145 <=> leq(nbr_proc,nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f1365,plain,(
% 19.39/2.79 ~leq(nbr_proc,nbr_proc)|spl0_145),
% 19.39/2.79 inference(component_clause,[status(thm)],[f1363])).
% 19.39/2.79 fof(f1368,plain,(
% 19.39/2.79 spl0_146 <=> leq(host(sk0_12),nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f1370,plain,(
% 19.39/2.79 ~leq(host(sk0_12),nbr_proc)|spl0_146),
% 19.39/2.79 inference(component_clause,[status(thm)],[f1368])).
% 19.39/2.79 fof(f1378,plain,(
% 19.39/2.79 spl0_148 <=> leq(host(sk0_11),host(sk0_4))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f1379,plain,(
% 19.39/2.79 leq(host(sk0_11),host(sk0_4))|~spl0_148),
% 19.39/2.79 inference(component_clause,[status(thm)],[f1378])).
% 19.39/2.79 fof(f1380,plain,(
% 19.39/2.79 ~leq(host(sk0_11),host(sk0_4))|spl0_148),
% 19.39/2.79 inference(component_clause,[status(thm)],[f1378])).
% 19.39/2.79 fof(f1383,plain,(
% 19.39/2.79 $false|spl0_145),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f1365,f192])).
% 19.39/2.79 fof(f1384,plain,(
% 19.39/2.79 spl0_145),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f1383])).
% 19.39/2.79 fof(f1385,plain,(
% 19.39/2.79 leq(nbr_proc,host(sk0_4))|~spl0_86|~spl0_148),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f791,f1379])).
% 19.39/2.79 fof(f1406,plain,(
% 19.39/2.79 spl0_150 <=> leq(index(pendack,host(sk0_8)),nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f1408,plain,(
% 19.39/2.79 ~leq(index(pendack,host(sk0_8)),nbr_proc)|spl0_150),
% 19.39/2.79 inference(component_clause,[status(thm)],[f1406])).
% 19.39/2.79 fof(f1440,plain,(
% 19.39/2.79 ~leq(host(sk0_12),nbr_proc)|spl0_150),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f353,f1408])).
% 19.39/2.79 fof(f1730,plain,(
% 19.39/2.79 leq(host(sk0_8),host(sk0_4))|~setIn(sk0_4,alive)|~index(status,host(sk0_4))=elec_2|~leq(host(sk0_12),nbr_proc)|~spl0_69|~spl0_88),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f1054,f716])).
% 19.39/2.79 fof(f1731,plain,(
% 19.39/2.79 spl0_63|~spl0_37|~spl0_40|~spl0_146|~spl0_69|~spl0_88),
% 19.39/2.79 inference(split_clause,[status(thm)],[f1730,f659,f526,f535,f1368,f692,f798])).
% 19.39/2.79 fof(f1915,plain,(
% 19.39/2.79 ![X0]: (~leq(s(nbr_proc),X0)|leq(s(zero),X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f201,f871])).
% 19.39/2.79 fof(f1917,plain,(
% 19.39/2.79 ![X0]: (~leq(nbr_proc,X0)|leq(s(zero),X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f201,f75])).
% 19.39/2.79 fof(f1919,plain,(
% 19.39/2.79 ![X0,X1]: (~leq(s(nbr_proc),X0)|leq(host(X1),X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f201,f870])).
% 19.39/2.79 fof(f1920,plain,(
% 19.39/2.79 ![X0,X1]: (~leq(nbr_proc,X0)|leq(host(X1),X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f201,f76])).
% 19.39/2.79 fof(f1925,plain,(
% 19.39/2.79 ![X0,X1]: (~leq(s(X0),X1)|leq(X0,X1))),
% 19.39/2.79 inference(resolution,[status(thm)],[f201,f477])).
% 19.39/2.79 fof(f1926,plain,(
% 19.39/2.79 ![X0,X1,X2]: (~leq(X0,X1)|leq(X2,X1)|leq(X0,X2))),
% 19.39/2.79 inference(resolution,[status(thm)],[f201,f193])).
% 19.39/2.79 fof(f1928,plain,(
% 19.39/2.79 ![X0]: (leq(zero,s(host(X0))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1925,f872])).
% 19.39/2.79 fof(f1929,plain,(
% 19.39/2.79 leq(zero,s(nbr_proc))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1925,f871])).
% 19.39/2.79 fof(f1930,plain,(
% 19.39/2.79 ![X0]: (leq(zero,host(X0)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1925,f74])).
% 19.39/2.79 fof(f1941,plain,(
% 19.39/2.79 ![X0,X1]: (~leq(host(X0),X1)|leq(zero,X1))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1930,f201])).
% 19.39/2.79 fof(f1945,plain,(
% 19.39/2.79 ![X0]: (~leq(s(nbr_proc),X0)|leq(zero,X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1929,f201])).
% 19.39/2.79 fof(f1946,plain,(
% 19.39/2.79 leq(zero,s(s(nbr_proc)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1929,f210])).
% 19.39/2.79 fof(f1950,plain,(
% 19.39/2.79 spl0_192 <=> zero=s(nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f1951,plain,(
% 19.39/2.79 zero=s(nbr_proc)|~spl0_192),
% 19.39/2.79 inference(component_clause,[status(thm)],[f1950])).
% 19.39/2.79 fof(f1955,plain,(
% 19.39/2.79 ![X0,X1]: (~leq(s(host(X0)),X1)|leq(zero,X1))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1928,f201])).
% 19.39/2.79 fof(f1961,plain,(
% 19.39/2.79 ![X0]: (~leq(s(s(nbr_proc)),X0)|leq(zero,X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1946,f201])).
% 19.39/2.79 fof(f1966,plain,(
% 19.39/2.79 spl0_194 <=> zero=s(s(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f1967,plain,(
% 19.39/2.79 zero=s(s(nbr_proc))|~spl0_194),
% 19.39/2.79 inference(component_clause,[status(thm)],[f1966])).
% 19.39/2.79 fof(f1976,plain,(
% 19.39/2.79 ![X0,X1]: (leq(host(X0),X1)|leq(X1,nbr_proc))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1920,f193])).
% 19.39/2.79 fof(f1987,plain,(
% 19.39/2.79 ![X0,X1]: (leq(zero,X0)|leq(X0,host(X1)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1941,f193])).
% 19.39/2.79 fof(f2001,plain,(
% 19.39/2.79 ![X0]: (leq(X0,nbr_proc)|leq(zero,X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1976,f1941])).
% 19.39/2.79 fof(f2011,plain,(
% 19.39/2.79 spl0_196 <=> leq(zero,nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f2024,plain,(
% 19.39/2.79 ![X0]: (leq(zero,X0)|leq(X0,s(nbr_proc)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f2001,f210])).
% 19.39/2.79 fof(f2026,plain,(
% 19.39/2.79 ![X0,X1]: (leq(X0,nbr_proc)|~leq(X0,X1)|leq(zero,X1))),
% 19.39/2.79 inference(resolution,[status(thm)],[f2001,f201])).
% 19.39/2.79 fof(f2039,plain,(
% 19.39/2.79 ![X0,X1]: (leq(zero,X0)|leq(X0,s(host(X1))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1987,f210])).
% 19.39/2.79 fof(f2057,plain,(
% 19.39/2.79 $false|spl0_146),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f1370,f76])).
% 19.39/2.79 fof(f2058,plain,(
% 19.39/2.79 spl0_146),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f2057])).
% 19.39/2.79 fof(f2062,plain,(
% 19.39/2.79 spl0_199 <=> leq(host(sk0_4),nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f2064,plain,(
% 19.39/2.79 ~leq(host(sk0_4),nbr_proc)|spl0_199),
% 19.39/2.79 inference(component_clause,[status(thm)],[f2062])).
% 19.39/2.79 fof(f2065,plain,(
% 19.39/2.79 ~leq(host(sk0_4),nbr_proc)|nbr_proc=host(sk0_4)|~spl0_86|~spl0_148),
% 19.39/2.79 inference(resolution,[status(thm)],[f1385,f196])).
% 19.39/2.79 fof(f2066,plain,(
% 19.39/2.79 ~spl0_199|spl0_76|~spl0_86|~spl0_148),
% 19.39/2.79 inference(split_clause,[status(thm)],[f2065,f2062,f736,f790,f1378])).
% 19.39/2.79 fof(f2067,plain,(
% 19.39/2.79 $false|spl0_199),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f2064,f76])).
% 19.39/2.79 fof(f2068,plain,(
% 19.39/2.79 spl0_199),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f2067])).
% 19.39/2.79 fof(f2069,plain,(
% 19.39/2.79 ~nbr_proc=host(sk0_4)|~spl0_88),
% 19.39/2.79 inference(backward_demodulation,[status(thm)],[f799,f525])).
% 19.39/2.79 fof(f2070,plain,(
% 19.39/2.79 ~spl0_76|~spl0_88),
% 19.39/2.79 inference(split_clause,[status(thm)],[f2069,f736,f798])).
% 19.39/2.79 fof(f2071,plain,(
% 19.39/2.79 ~leq(nbr_proc,host(sk0_4))|~spl0_86|spl0_148),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f791,f1380])).
% 19.39/2.79 fof(f2078,plain,(
% 19.39/2.79 leq(s(zero),zero)|~spl0_192),
% 19.39/2.79 inference(backward_demodulation,[status(thm)],[f1951,f871])).
% 19.39/2.79 fof(f2079,plain,(
% 19.39/2.79 $false|~spl0_192),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f2078,f191])).
% 19.39/2.79 fof(f2080,plain,(
% 19.39/2.79 ~spl0_192),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f2079])).
% 19.39/2.79 fof(f2085,plain,(
% 19.39/2.79 $false|spl0_150),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f1440,f76])).
% 19.39/2.79 fof(f2086,plain,(
% 19.39/2.79 spl0_150),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f2085])).
% 19.39/2.79 fof(f2233,plain,(
% 19.39/2.79 spl0_218 <=> leq(host(sk0_8),nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f2235,plain,(
% 19.39/2.79 ~leq(host(sk0_8),nbr_proc)|spl0_218),
% 19.39/2.79 inference(component_clause,[status(thm)],[f2233])).
% 19.39/2.79 fof(f2241,plain,(
% 19.39/2.79 $false|spl0_218),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f2235,f76])).
% 19.39/2.79 fof(f2242,plain,(
% 19.39/2.79 spl0_218),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f2241])).
% 19.39/2.79 fof(f2366,plain,(
% 19.39/2.79 ![X0]: (leq(s(s(zero)),s(host(X0))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f204,f74])).
% 19.39/2.79 fof(f2424,plain,(
% 19.39/2.79 spl0_226 <=> leq(zero,s(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f2458,plain,(
% 19.39/2.79 spl0_229 <=> s(zero)=s(s(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f2459,plain,(
% 19.39/2.79 s(zero)=s(s(nbr_proc))|~spl0_229),
% 19.39/2.79 inference(component_clause,[status(thm)],[f2458])).
% 19.39/2.79 fof(f2461,plain,(
% 19.39/2.79 spl0_230 <=> leq(s(zero),s(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f2488,plain,(
% 19.39/2.79 ![X0]: (leq(X0,s(s(s(s(s(X0)))))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f921,f1925])).
% 19.39/2.79 fof(f2628,plain,(
% 19.39/2.79 spl0_239 <=> elem(X0,q_nil)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f2629,plain,(
% 19.39/2.79 ![X0]: (elem(X0,q_nil)|~spl0_239)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f2628])).
% 19.39/2.79 fof(f2633,plain,(
% 19.39/2.79 spl0_240 <=> q_nil=snoc(init(q_nil),X0)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f2634,plain,(
% 19.39/2.79 ![X0]: (q_nil=snoc(init(q_nil),X0)|~spl0_240)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f2633])).
% 19.39/2.79 fof(f2638,plain,(
% 19.39/2.79 $false|~spl0_240),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f2634,f134])).
% 19.39/2.79 fof(f2639,plain,(
% 19.39/2.79 ~spl0_240),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f2638])).
% 19.39/2.79 fof(f2640,plain,(
% 19.39/2.79 $false|~spl0_239),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f2629,f137])).
% 19.39/2.79 fof(f2641,plain,(
% 19.39/2.79 ~spl0_239),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f2640])).
% 19.39/2.79 fof(f2669,plain,(
% 19.39/2.79 leq(s(zero),zero)|~spl0_194),
% 19.39/2.79 inference(backward_demodulation,[status(thm)],[f1967,f908])).
% 19.39/2.79 fof(f2670,plain,(
% 19.39/2.79 $false|~spl0_194),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f2669,f191])).
% 19.39/2.79 fof(f2671,plain,(
% 19.39/2.79 ~spl0_194),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f2670])).
% 19.39/2.79 fof(f2788,plain,(
% 19.39/2.79 ![X0,X1]: (~leq(host(X0),X1)|leq(s(zero),X1))),
% 19.39/2.79 inference(resolution,[status(thm)],[f74,f201])).
% 19.39/2.79 fof(f2999,plain,(
% 19.39/2.79 ![X0]: (leq(X0,host(sk0_12))|~leq(s(X0),nbr_proc)|~spl0_86)),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f1157,f205])).
% 19.39/2.79 fof(f3185,plain,(
% 19.39/2.79 leq(s(host(sk0_12)),s(host(sk0_4)))|~spl0_58),
% 19.39/2.79 inference(resolution,[status(thm)],[f848,f204])).
% 19.39/2.79 fof(f3186,plain,(
% 19.39/2.79 leq(nbr_proc,s(host(sk0_4)))|~spl0_86|~spl0_58),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f1157,f3185])).
% 19.39/2.79 fof(f3276,plain,(
% 19.39/2.79 spl0_267 <=> leq(host(sk0_4),host(sk0_12))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f3279,plain,(
% 19.39/2.79 spl0_268 <=> host(sk0_12)=host(sk0_4)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f3282,plain,(
% 19.39/2.79 ~leq(host(sk0_4),host(sk0_12))|host(sk0_12)=host(sk0_4)|~spl0_58),
% 19.39/2.79 inference(resolution,[status(thm)],[f196,f848])).
% 19.39/2.79 fof(f3283,plain,(
% 19.39/2.79 ~spl0_267|spl0_268|~spl0_58),
% 19.39/2.79 inference(split_clause,[status(thm)],[f3282,f3276,f3279,f637])).
% 19.39/2.79 fof(f3468,plain,(
% 19.39/2.79 spl0_281 <=> leq(nbr_proc,host(sk0_4))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f3469,plain,(
% 19.39/2.79 leq(nbr_proc,host(sk0_4))|~spl0_281),
% 19.39/2.79 inference(component_clause,[status(thm)],[f3468])).
% 19.39/2.79 fof(f3766,plain,(
% 19.39/2.79 spl0_294 <=> leq(s(zero),host(X0))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f3780,plain,(
% 19.39/2.79 ![X0]: (leq(s(zero),X0)|leq(X0,nbr_proc))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1917,f193])).
% 19.39/2.79 fof(f3800,plain,(
% 19.39/2.79 ![X0,X1]: (leq(X0,s(nbr_proc))|leq(host(X1),X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1926,f870])).
% 19.39/2.79 fof(f3804,plain,(
% 19.39/2.79 ![X0,X1]: (leq(X0,host(X1))|leq(s(zero),X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1926,f74])).
% 19.39/2.79 fof(f3806,plain,(
% 19.39/2.79 ![X0]: (leq(X0,s(nbr_proc))|leq(s(zero),X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1926,f871])).
% 19.39/2.79 fof(f3811,plain,(
% 19.39/2.79 ![X0]: (leq(X0,s(s(nbr_proc)))|leq(zero,X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1926,f1946])).
% 19.39/2.79 fof(f3815,plain,(
% 19.39/2.79 ![X0,X1]: (leq(X0,X1)|leq(zero,X0)|leq(X1,nbr_proc))),
% 19.39/2.79 inference(resolution,[status(thm)],[f1926,f2001])).
% 19.39/2.79 fof(f3887,plain,(
% 19.39/2.79 spl0_299 <=> zero=host(sk0_10)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f3888,plain,(
% 19.39/2.79 zero=host(sk0_10)|~spl0_299),
% 19.39/2.79 inference(component_clause,[status(thm)],[f3887])).
% 19.39/2.79 fof(f3906,plain,(
% 19.39/2.79 zero=host(sk0_8)|~spl0_299),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f3888])).
% 19.39/2.79 fof(f3950,plain,(
% 19.39/2.79 spl0_304 <=> leq(host(X0),s(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f3956,plain,(
% 19.39/2.79 leq(zero,s(nbr_proc))|leq(zero,s(nbr_proc))),
% 19.39/2.79 inference(resolution,[status(thm)],[f2024,f1945])).
% 19.39/2.79 fof(f3957,plain,(
% 19.39/2.79 spl0_226),
% 19.39/2.79 inference(split_clause,[status(thm)],[f3956,f2424])).
% 19.39/2.79 fof(f4107,plain,(
% 19.39/2.79 zero=host(sk0_10)|~spl0_299),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f3906,f242])).
% 19.39/2.79 fof(f4970,plain,(
% 19.39/2.79 ~leq(s(zero),s(nbr_proc))|~spl0_229),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f2459,f191])).
% 19.39/2.79 fof(f4971,plain,(
% 19.39/2.79 $false|~spl0_229),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f4970,f871])).
% 19.39/2.79 fof(f4972,plain,(
% 19.39/2.79 ~spl0_229),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f4971])).
% 19.39/2.79 fof(f5024,plain,(
% 19.39/2.79 spl0_320 <=> m_Down(sk0_5)=X0),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f5025,plain,(
% 19.39/2.79 ![X0]: (m_Down(sk0_5)=X0|~spl0_320)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f5024])).
% 19.39/2.79 fof(f5296,plain,(
% 19.39/2.79 $false|~spl0_320),
% 19.39/2.79 inference(resolution,[status(thm)],[f5025,f92])).
% 19.39/2.79 fof(f5297,plain,(
% 19.39/2.79 ~spl0_320),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f5296])).
% 19.39/2.79 fof(f5822,plain,(
% 19.39/2.79 ![X0]: (leq(s(X0),nbr_proc)|leq(zero,X0))),
% 19.39/2.79 inference(resolution,[status(thm)],[f3780,f205])).
% 19.39/2.79 fof(f5983,plain,(
% 19.39/2.79 spl0_357 <=> q_nil=cons(X0,tail(q_nil))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f5984,plain,(
% 19.39/2.79 ![X0]: (q_nil=cons(X0,tail(q_nil))|~spl0_357)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f5983])).
% 19.39/2.79 fof(f6372,plain,(
% 19.39/2.79 spl0_362 <=> leq(s(nbr_proc),nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f6373,plain,(
% 19.39/2.79 leq(s(nbr_proc),nbr_proc)|~spl0_362),
% 19.39/2.79 inference(component_clause,[status(thm)],[f6372])).
% 19.39/2.79 fof(f6380,plain,(
% 19.39/2.79 spl0_364 <=> leq(nbr_proc,s(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f6382,plain,(
% 19.39/2.79 ~leq(nbr_proc,s(nbr_proc))|spl0_364),
% 19.39/2.79 inference(component_clause,[status(thm)],[f6380])).
% 19.39/2.79 fof(f6399,plain,(
% 19.39/2.79 $false|spl0_364),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f6382,f477])).
% 19.39/2.79 fof(f6400,plain,(
% 19.39/2.79 spl0_364),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f6399])).
% 19.39/2.79 fof(f6613,plain,(
% 19.39/2.79 spl0_371 <=> leq(zero,s(s(nbr_proc)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f6624,plain,(
% 19.39/2.79 leq(zero,nbr_proc)|leq(zero,nbr_proc)),
% 19.39/2.79 inference(resolution,[status(thm)],[f5822,f1945])).
% 19.39/2.79 fof(f6625,plain,(
% 19.39/2.79 spl0_196),
% 19.39/2.79 inference(split_clause,[status(thm)],[f6624,f2011])).
% 19.39/2.79 fof(f7143,plain,(
% 19.39/2.79 spl0_392 <=> leq(zero,s(host(X1)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f7612,plain,(
% 19.39/2.79 spl0_407 <=> ~leq(host(X0),nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f7613,plain,(
% 19.39/2.79 ![X0]: (~leq(host(X0),nbr_proc)|~spl0_407)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f7612])).
% 19.39/2.79 fof(f7720,plain,(
% 19.39/2.79 $false|~spl0_407),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f7613,f76])).
% 19.39/2.79 fof(f7721,plain,(
% 19.39/2.79 ~spl0_407),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f7720])).
% 19.39/2.79 fof(f8197,plain,(
% 19.39/2.79 ![X0,X1]: (leq(zero,s(host(X0)))|leq(zero,s(host(X1))))),
% 19.39/2.79 inference(resolution,[status(thm)],[f2039,f1955])).
% 19.39/2.79 fof(f8198,plain,(
% 19.39/2.79 spl0_392),
% 19.39/2.79 inference(split_clause,[status(thm)],[f8197,f7143])).
% 19.39/2.79 fof(f8318,plain,(
% 19.39/2.79 $false|~spl0_357),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f5984,f133])).
% 19.39/2.79 fof(f8319,plain,(
% 19.39/2.79 ~spl0_357),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f8318])).
% 19.39/2.79 fof(f8727,plain,(
% 19.39/2.79 spl0_445 <=> snoc(queue(host(sk0_8)),m_Ldr(sk0_4))=q_nil),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f8728,plain,(
% 19.39/2.79 snoc(queue(host(sk0_8)),m_Ldr(sk0_4))=q_nil|~spl0_445),
% 19.39/2.79 inference(component_clause,[status(thm)],[f8727])).
% 19.39/2.79 fof(f8811,plain,(
% 19.39/2.79 $false|~spl0_445),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f8728,f134])).
% 19.39/2.79 fof(f8812,plain,(
% 19.39/2.79 ~spl0_445),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f8811])).
% 19.39/2.79 fof(f9265,plain,(
% 19.39/2.79 spl0_464 <=> m_Ack(sk0_10,sk0_12)=X0),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f9266,plain,(
% 19.39/2.79 ![X0]: (m_Ack(sk0_10,sk0_12)=X0|~spl0_464)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f9265])).
% 19.39/2.79 fof(f9279,plain,(
% 19.39/2.79 spl0_466 <=> m_Down(sk0_11)=X0),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f9280,plain,(
% 19.39/2.79 ![X0]: (m_Down(sk0_11)=X0|~spl0_466)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f9279])).
% 19.39/2.79 fof(f9311,plain,(
% 19.39/2.79 ![X0,X1]: (leq(host(X0),s(nbr_proc))|leq(host(X1),s(nbr_proc)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f3800,f1919])).
% 19.39/2.79 fof(f9312,plain,(
% 19.39/2.79 spl0_304),
% 19.39/2.79 inference(split_clause,[status(thm)],[f9311,f3950])).
% 19.39/2.79 fof(f9344,plain,(
% 19.39/2.79 ![X0,X1]: (leq(s(zero),host(X0))|leq(s(zero),host(X1)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f3804,f2788])).
% 19.39/2.79 fof(f9345,plain,(
% 19.39/2.79 spl0_294),
% 19.39/2.79 inference(split_clause,[status(thm)],[f9344,f3766])).
% 19.39/2.79 fof(f9441,plain,(
% 19.39/2.79 spl0_473 <=> m_Down(sk0_11)=last(snoc(queue(host(sk0_8)),m_Ldr(sk0_4)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f9442,plain,(
% 19.39/2.79 m_Down(sk0_11)=last(snoc(queue(host(sk0_8)),m_Ldr(sk0_4)))|~spl0_473),
% 19.39/2.79 inference(component_clause,[status(thm)],[f9441])).
% 19.39/2.79 fof(f9482,plain,(
% 19.39/2.79 spl0_478 <=> m_Ack(sk0_10,sk0_12)=last(snoc(queue(host(sk0_8)),m_Ldr(sk0_4)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f9483,plain,(
% 19.39/2.79 m_Ack(sk0_10,sk0_12)=last(snoc(queue(host(sk0_8)),m_Ldr(sk0_4)))|~spl0_478),
% 19.39/2.79 inference(component_clause,[status(thm)],[f9482])).
% 19.39/2.79 fof(f9519,plain,(
% 19.39/2.79 m_Down(sk0_11)=m_Ldr(sk0_4)|~spl0_473),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f129,f9442])).
% 19.39/2.79 fof(f9520,plain,(
% 19.39/2.79 $false|~spl0_473),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f9519,f90])).
% 19.39/2.79 fof(f9521,plain,(
% 19.39/2.79 ~spl0_473),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f9520])).
% 19.39/2.79 fof(f9522,plain,(
% 19.39/2.79 m_Ack(sk0_10,sk0_12)=m_Ldr(sk0_4)|~spl0_478),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f129,f9483])).
% 19.39/2.79 fof(f9523,plain,(
% 19.39/2.79 $false|~spl0_478),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f9522,f86])).
% 19.39/2.79 fof(f9524,plain,(
% 19.39/2.79 ~spl0_478),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f9523])).
% 19.39/2.79 fof(f9662,plain,(
% 19.39/2.79 $false|~spl0_466),
% 19.39/2.79 inference(resolution,[status(thm)],[f9280,f92])).
% 19.39/2.79 fof(f9663,plain,(
% 19.39/2.79 ~spl0_466),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f9662])).
% 19.39/2.79 fof(f9894,plain,(
% 19.39/2.79 spl0_488 <=> pidElem(head(queue(host(sk0_4))))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f9896,plain,(
% 19.39/2.79 ~pidElem(head(queue(host(sk0_4))))|spl0_488),
% 19.39/2.79 inference(component_clause,[status(thm)],[f9894])).
% 19.39/2.79 fof(f9899,plain,(
% 19.39/2.79 ~pidElem(m_Down(sk0_5))|spl0_488),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f475,f9896])).
% 19.39/2.79 fof(f9900,plain,(
% 19.39/2.79 $false|spl0_488),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f9899,f263])).
% 19.39/2.79 fof(f9901,plain,(
% 19.39/2.79 spl0_488),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f9900])).
% 19.39/2.79 fof(f10212,plain,(
% 19.39/2.79 $false|~spl0_464),
% 19.39/2.79 inference(resolution,[status(thm)],[f9266,f87])).
% 19.39/2.79 fof(f10213,plain,(
% 19.39/2.79 ~spl0_464),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f10212])).
% 19.39/2.79 fof(f10281,plain,(
% 19.39/2.79 spl0_496 <=> elem(head(sk0_7),q_nil)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f10282,plain,(
% 19.39/2.79 elem(head(sk0_7),q_nil)|~spl0_496),
% 19.39/2.79 inference(component_clause,[status(thm)],[f10281])).
% 19.39/2.79 fof(f10286,plain,(
% 19.39/2.79 $false|~spl0_496),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f10282,f137])).
% 19.39/2.79 fof(f10287,plain,(
% 19.39/2.79 ~spl0_496),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f10286])).
% 19.39/2.79 fof(f10693,plain,(
% 19.39/2.79 spl0_506 <=> nbr_proc=s(s(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f10694,plain,(
% 19.39/2.79 nbr_proc=s(s(nbr_proc))|~spl0_506),
% 19.39/2.79 inference(component_clause,[status(thm)],[f10693])).
% 19.39/2.79 fof(f10927,plain,(
% 19.39/2.79 spl0_514 <=> leq(zero,X0)|leq(X0,nbr_proc)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f12061,plain,(
% 19.39/2.79 leq(s(zero),s(nbr_proc))|leq(s(zero),s(nbr_proc))),
% 19.39/2.79 inference(resolution,[status(thm)],[f3806,f1915])).
% 19.39/2.79 fof(f12062,plain,(
% 19.39/2.79 spl0_230),
% 19.39/2.79 inference(split_clause,[status(thm)],[f12061,f2461])).
% 19.39/2.79 fof(f12137,plain,(
% 19.39/2.79 leq(zero,s(s(nbr_proc)))|leq(zero,s(s(nbr_proc)))),
% 19.39/2.79 inference(resolution,[status(thm)],[f3811,f1961])).
% 19.39/2.79 fof(f12138,plain,(
% 19.39/2.79 spl0_371),
% 19.39/2.79 inference(split_clause,[status(thm)],[f12137,f6613])).
% 19.39/2.79 fof(f12289,plain,(
% 19.39/2.79 ![X0,X1]: (leq(zero,X0)|leq(X1,nbr_proc)|leq(X0,nbr_proc)|leq(zero,X1))),
% 19.39/2.79 inference(resolution,[status(thm)],[f3815,f2026])).
% 19.39/2.79 fof(f12290,plain,(
% 19.39/2.79 spl0_514),
% 19.39/2.79 inference(split_clause,[status(thm)],[f12289,f10927])).
% 19.39/2.79 fof(f12312,plain,(
% 19.39/2.79 spl0_562 <=> leq(zero,s(zero))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f12314,plain,(
% 19.39/2.79 ~leq(zero,s(zero))|spl0_562),
% 19.39/2.79 inference(component_clause,[status(thm)],[f12312])).
% 19.39/2.79 fof(f12393,plain,(
% 19.39/2.79 zero=host(sk0_8)|~spl0_299),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f242,f4107])).
% 19.39/2.79 fof(f12521,plain,(
% 19.39/2.79 leq(s(s(zero)),s(zero))|~spl0_299),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f12393,f2366])).
% 19.39/2.79 fof(f12522,plain,(
% 19.39/2.79 $false|~spl0_299),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f12521,f191])).
% 19.39/2.79 fof(f12523,plain,(
% 19.39/2.79 ~spl0_299),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f12522])).
% 19.39/2.79 fof(f12524,plain,(
% 19.39/2.79 $false|spl0_562),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f12314,f477])).
% 19.39/2.79 fof(f12525,plain,(
% 19.39/2.79 spl0_562),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f12524])).
% 19.39/2.79 fof(f12893,plain,(
% 19.39/2.79 $false|~spl0_362),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f6373,f191])).
% 19.39/2.79 fof(f12894,plain,(
% 19.39/2.79 ~spl0_362),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f12893])).
% 19.39/2.79 fof(f13009,plain,(
% 19.39/2.79 leq(s(nbr_proc),s(s(s(s(nbr_proc)))))|~spl0_506),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f10694,f2488])).
% 19.39/2.79 fof(f13010,plain,(
% 19.39/2.79 leq(s(nbr_proc),s(s(nbr_proc)))|~spl0_506),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f10694,f13009])).
% 19.39/2.79 fof(f13011,plain,(
% 19.39/2.79 leq(s(nbr_proc),nbr_proc)|~spl0_506),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f10694,f13010])).
% 19.39/2.79 fof(f13012,plain,(
% 19.39/2.79 $false|~spl0_506),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f13011,f191])).
% 19.39/2.79 fof(f13013,plain,(
% 19.39/2.79 ~spl0_506),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f13012])).
% 19.39/2.79 fof(f13120,plain,(
% 19.39/2.79 spl0_581 <=> zero=s(s(zero))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f13121,plain,(
% 19.39/2.79 zero=s(s(zero))|~spl0_581),
% 19.39/2.79 inference(component_clause,[status(thm)],[f13120])).
% 19.39/2.79 fof(f13132,plain,(
% 19.39/2.79 spl0_583 <=> leq(host(sk0_12),zero)),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f13133,plain,(
% 19.39/2.79 leq(host(sk0_12),zero)|~spl0_583),
% 19.39/2.79 inference(component_clause,[status(thm)],[f13132])).
% 19.39/2.79 fof(f13584,plain,(
% 19.39/2.79 leq(s(zero),zero)|~spl0_583),
% 19.39/2.79 inference(resolution,[status(thm)],[f13133,f2788])).
% 19.39/2.79 fof(f13585,plain,(
% 19.39/2.79 $false|~spl0_583),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f13584,f191])).
% 19.39/2.79 fof(f13586,plain,(
% 19.39/2.79 ~spl0_583),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f13585])).
% 19.39/2.79 fof(f13609,plain,(
% 19.39/2.79 leq(s(zero),s(s(s(s(zero)))))|~spl0_581),
% 19.39/2.79 inference(paramodulation,[status(thm)],[f13121,f2488])).
% 19.39/2.79 fof(f13610,plain,(
% 19.39/2.79 leq(s(zero),s(s(zero)))|~spl0_581),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f13121,f13609])).
% 19.39/2.79 fof(f13611,plain,(
% 19.39/2.79 leq(s(zero),zero)|~spl0_581),
% 19.39/2.79 inference(forward_demodulation,[status(thm)],[f13121,f13610])).
% 19.39/2.79 fof(f13612,plain,(
% 19.39/2.79 $false|~spl0_581),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f13611,f191])).
% 19.39/2.79 fof(f13613,plain,(
% 19.39/2.79 ~spl0_581),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f13612])).
% 19.39/2.79 fof(f14013,plain,(
% 19.39/2.79 spl0_590 <=> leq(s(s(s(nbr_proc))),s(s(nbr_proc)))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f14014,plain,(
% 19.39/2.79 leq(s(s(s(nbr_proc))),s(s(nbr_proc)))|~spl0_590),
% 19.39/2.79 inference(component_clause,[status(thm)],[f14013])).
% 19.39/2.79 fof(f14035,plain,(
% 19.39/2.79 $false|~spl0_590),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f14014,f191])).
% 19.39/2.79 fof(f14036,plain,(
% 19.39/2.79 ~spl0_590),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f14035])).
% 19.39/2.79 fof(f15907,plain,(
% 19.39/2.79 spl0_663 <=> pidElem(m_Down(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f15909,plain,(
% 19.39/2.79 ~pidElem(m_Down(nbr_proc))|spl0_663),
% 19.39/2.79 inference(component_clause,[status(thm)],[f15907])).
% 19.39/2.79 fof(f15928,plain,(
% 19.39/2.79 $false|spl0_663),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f15909,f263])).
% 19.39/2.79 fof(f15929,plain,(
% 19.39/2.79 spl0_663),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f15928])).
% 19.39/2.79 fof(f16055,plain,(
% 19.39/2.79 spl0_664 <=> m_Down(nbr_proc)=X0),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f16056,plain,(
% 19.39/2.79 ![X0]: (m_Down(nbr_proc)=X0|~spl0_664)),
% 19.39/2.79 inference(component_clause,[status(thm)],[f16055])).
% 19.39/2.79 fof(f16422,plain,(
% 19.39/2.79 $false|~spl0_664),
% 19.39/2.79 inference(resolution,[status(thm)],[f16056,f92])).
% 19.39/2.79 fof(f16423,plain,(
% 19.39/2.79 ~spl0_664),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f16422])).
% 19.39/2.79 fof(f17052,plain,(
% 19.39/2.79 spl0_668 <=> leq(s(s(nbr_proc)),s(nbr_proc))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f17053,plain,(
% 19.39/2.79 leq(s(s(nbr_proc)),s(nbr_proc))|~spl0_668),
% 19.39/2.79 inference(component_clause,[status(thm)],[f17052])).
% 19.39/2.79 fof(f17074,plain,(
% 19.39/2.79 $false|~spl0_668),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f17053,f191])).
% 19.39/2.79 fof(f17075,plain,(
% 19.39/2.79 ~spl0_668),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f17074])).
% 19.39/2.79 fof(f18047,plain,(
% 19.39/2.79 spl0_711 <=> nbr_proc=s(host(sk0_4))),
% 19.39/2.79 introduced(split_symbol_definition)).
% 19.39/2.79 fof(f18048,plain,(
% 19.39/2.79 nbr_proc=s(host(sk0_4))|~spl0_711),
% 19.39/2.79 inference(component_clause,[status(thm)],[f18047])).
% 19.39/2.79 fof(f18050,plain,(
% 19.39/2.79 nbr_proc=s(host(sk0_4))|leq(nbr_proc,host(sk0_4))|~spl0_86|~spl0_58),
% 19.39/2.79 inference(resolution,[status(thm)],[f3186,f208])).
% 19.39/2.79 fof(f18051,plain,(
% 19.39/2.79 spl0_711|spl0_281|~spl0_86|~spl0_58),
% 19.39/2.79 inference(split_clause,[status(thm)],[f18050,f18047,f3468,f790,f637])).
% 19.39/2.79 fof(f18066,plain,(
% 19.39/2.79 $false|~spl0_86|spl0_148|~spl0_281),
% 19.39/2.79 inference(forward_subsumption_resolution,[status(thm)],[f3469,f2071])).
% 19.39/2.79 fof(f18067,plain,(
% 19.39/2.79 ~spl0_86|spl0_148|~spl0_281),
% 19.39/2.79 inference(contradiction_clause,[status(thm)],[f18066])).
% 19.39/2.79 fof(f18077,plain,(
% 19.39/2.79 leq(host(sk0_4),host(sk0_12))|~leq(nbr_proc,nbr_proc)|~spl0_86|~spl0_711),
% 19.39/2.80 inference(paramodulation,[status(thm)],[f18048,f2999])).
% 19.39/2.80 fof(f18078,plain,(
% 19.39/2.80 spl0_267|~spl0_145|~spl0_86|~spl0_711),
% 19.39/2.80 inference(split_clause,[status(thm)],[f18077,f3276,f1363,f790,f18047])).
% 19.39/2.80 fof(f18134,plain,(
% 19.39/2.80 ~host(sk0_4)=host(sk0_12)|~spl0_53|~spl0_101),
% 19.39/2.80 inference(resolution,[status(thm)],[f613,f975])).
% 19.39/2.80 fof(f18135,plain,(
% 19.39/2.80 ~spl0_268|~spl0_53|~spl0_101),
% 19.39/2.80 inference(split_clause,[status(thm)],[f18134,f3279,f612,f974])).
% 19.39/2.80 fof(f18137,plain,(
% 19.39/2.80 $false),
% 19.39/2.80 inference(sat_refutation,[status(thm)],[f336,f340,f358,f360,f546,f548,f610,f616,f631,f641,f696,f794,f802,f817,f843,f845,f862,f978,f994,f1384,f1731,f2058,f2066,f2068,f2070,f2080,f2086,f2242,f2639,f2641,f2671,f3283,f3957,f4972,f5297,f6400,f6625,f7721,f8198,f8319,f8812,f9312,f9345,f9521,f9524,f9663,f9901,f10213,f10287,f12062,f12138,f12290,f12523,f12525,f12894,f13013,f13586,f13613,f14036,f15929,f16423,f17075,f18051,f18067,f18078,f18135])).
% 19.39/2.80 % SZS output end CNFRefutation for theBenchmark.p
% 19.39/2.82 % Elapsed time: 2.494080 seconds
% 19.39/2.82 % CPU time: 19.570040 seconds
% 19.39/2.82 % Total memory used: 180.352 MB
% 19.39/2.82 % Net memory used: 172.698 MB
%------------------------------------------------------------------------------