TSTP Solution File: SWV477+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV477+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Wed May 31 12:41:47 EDT 2023
% Result : Theorem 2.21s 0.87s
% Output : CNFRefutation 2.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV477+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:59:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 2.21/0.87 % Refutation found
% 2.21/0.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.21/0.87 % SZS output start CNFRefutation for theBenchmark
% 2.21/0.87 fof(f3,axiom,(
% 2.21/0.87 (! [P] : leq(s(zero),host(P)) )),
% 2.21/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.87 fof(f5,axiom,(
% 2.21/0.87 (! [P] : leq(host(P),nbr_proc) )),
% 2.21/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.87 fof(f59,axiom,(
% 2.21/0.87 (! [X] : ~ leq(s(X),X) )),
% 2.21/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.87 fof(f62,axiom,(
% 2.21/0.87 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )<=> X = Y ) )),
% 2.21/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.87 fof(f63,axiom,(
% 2.21/0.87 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 2.21/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.87 fof(f64,axiom,(
% 2.21/0.87 (! [X,Y] :( leq(X,Y)<=> leq(s(X),s(Y)) ) )),
% 2.21/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.87 fof(f65,axiom,(
% 2.21/0.87 (! [X,Y] :( leq(X,s(Y))<=> ( X = s(Y)| leq(X,Y) ) ) )),
% 2.21/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.87 fof(f67,conjecture,(
% 2.21/0.87 (! [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] :( ( Pid0 != Z& host(Pid0) = host(Z) )=> ( ~ setIn(Z,alive)| ~ setIn(Pid0,alive) ) ))& (! [Z] :( ( ( index(status,host(Z)) = elec_1| index(status,host(Z)) = elec_2 )& setIn(Z,alive) )=> index(elid,host(Z)) = Z ))& (! [Z,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& setIn(host(Pid0),index(down,host(Z)))& index(status,host(Pid0)) = elec_2 )=> leq(index(pendack,host(Pid0)),host(Z)) ))& (! [Z,Pid0] :( ( setIn(Pid0,alive)& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid0) )=> ~ ( setIn(Z,alive)& setIn(host(Pid0),index(down,host(Z))) ) ))& (! [Z,Pid20,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Z)))& host(Pid0) = host(Pid20)& index(status,host(Pid0)) = elec_2 )=> leq(index(pendack,host(Pid0)),host(Z)) ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& host(Pid20) = host(Pid0)& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid0) )=> ~ ( setIn(Z,alive)& elem(m_Down(Pid20),queue(host(Z))) ) ))& (! [Z,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid0) )=> Pid0 = Z ))& (! [Z,Pid20,Pid0] :( ( ~ leq(host(Pid20),host(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,Pid30,Pid20,Pid0] :( ( host(Pid20) != host(Z)& setIn(Z,alive)& setIn(Pid20,alive)& host(Pid30) = host(Z)& host(Pid0) = host(Pid20) )=> ~ ( elem(m_Down(Pid0),queue(host(Z)))& elem(m_Down(Pid30),queue(host(Pid20))) ) ))& (! [Z,Pid30,Pid20,Pid0] :( ( host(Pid20) != host(Z)& setIn(Z,alive)& setIn(Pid20,alive)& host(Pid30) = host(Z)& host(Pid0) = host(Pid20) )=> ~ ( elem(m_Down(Pid0),queue(host(Z)))& setIn(host(Pid30),index(down,host(Pid20))) ) ))& (! [Z,Pid20,Pid0] :( ( host(Pid0) != host(Pid20)& setIn(Pid0,alive)& elem(m_Down(Z),queue(host(Pid0)))& host(Pid20) = host(Z)& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid20) )=> ~ ( setIn(Pid20,alive)& index(status,host(Pid20)) = norm& index(ldr,host(Pid20)) = host(Pid20) ) ))& (! [Z,Pid20,Pid0] :( ( host(Pid0) != host(Pid20)& setIn(Pid0,alive)& elem(m_Down(Z),queue(host(Pid0)))& host(Pid20) = host(Z)& index(status,host(Pid0)) = wait& host(index(elid,host(Pid0))) = host(Pid20) )=> ~ ( setIn(Pid20,alive)& index(status,host(Pid20)) = norm& index(ldr,host(Pid20)) = host(Pid20) ) ))& (! [Z,Pid30,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& setIn(Z,alive)& leq(host(Z),host(Pid0))& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid30) = host(Pid0)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_1 )=> ~ elem(m_Ack(Z,Pid30),queue(host(Z))) ))& (! [Z,Pid30,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& setIn(Pid0,alive)& leq(nbr_proc,s(host(Pid0)))& elem(m_Down(Pid20),queue(host(Pid0)))& elem(m_Down(Pid30),queue(host(Pid0)))& host(Pid30) = s(host(Pid0))& index(status,host(Pid0)) = elec_1 )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& queue(host(X)) = cons(m_Ack(W,Y),V) )=> ( setIn(X,alive)=> ( ( index(elid,host(X)) = W& 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)))| host(Z) = host(Y) )=> (! [V0] :( host(X) = host(V0)=> (! [W0,X0,Y0] :( host(X) != host(Y0)=> ( ( (! [V1] :( ( ~ leq(host(Y0),V1)& leq(s(zero),V1) )=> ( setIn(V1,index(down,host(Y0)))| V1 = host(X0) ) ))& setIn(Y0,alive)& leq(nbr_proc,s(host(Y0)))& elem(m_Down(W0),queue(host(Y0)))& elem(m_Down(X0),queue(host(Y0)))& host(W0) = s(host(Y0))& index(status,host(Y0)) = elec_1 )=> ~ ( setIn(V0,alive)& host(X) = host(V0) ) ) ) )) )) )) ) ) ) )),
% 2.21/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.21/0.87 fof(f68,negated_conjecture,(
% 2.21/0.87 ~((! [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] :( ( Pid0 != Z& host(Pid0) = host(Z) )=> ( ~ setIn(Z,alive)| ~ setIn(Pid0,alive) ) ))& (! [Z] :( ( ( index(status,host(Z)) = elec_1| index(status,host(Z)) = elec_2 )& setIn(Z,alive) )=> index(elid,host(Z)) = Z ))& (! [Z,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& setIn(host(Pid0),index(down,host(Z)))& index(status,host(Pid0)) = elec_2 )=> leq(index(pendack,host(Pid0)),host(Z)) ))& (! [Z,Pid0] :( ( setIn(Pid0,alive)& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid0) )=> ~ ( setIn(Z,alive)& setIn(host(Pid0),index(down,host(Z))) ) ))& (! [Z,Pid20,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Z)))& host(Pid0) = host(Pid20)& index(status,host(Pid0)) = elec_2 )=> leq(index(pendack,host(Pid0)),host(Z)) ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& host(Pid20) = host(Pid0)& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid0) )=> ~ ( setIn(Z,alive)& elem(m_Down(Pid20),queue(host(Z))) ) ))& (! [Z,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid0) )=> Pid0 = Z ))& (! [Z,Pid20,Pid0] :( ( ~ leq(host(Pid20),host(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,Pid30,Pid20,Pid0] :( ( host(Pid20) != host(Z)& setIn(Z,alive)& setIn(Pid20,alive)& host(Pid30) = host(Z)& host(Pid0) = host(Pid20) )=> ~ ( elem(m_Down(Pid0),queue(host(Z)))& elem(m_Down(Pid30),queue(host(Pid20))) ) ))& (! [Z,Pid30,Pid20,Pid0] :( ( host(Pid20) != host(Z)& setIn(Z,alive)& setIn(Pid20,alive)& host(Pid30) = host(Z)& host(Pid0) = host(Pid20) )=> ~ ( elem(m_Down(Pid0),queue(host(Z)))& setIn(host(Pid30),index(down,host(Pid20))) ) ))& (! [Z,Pid20,Pid0] :( ( host(Pid0) != host(Pid20)& setIn(Pid0,alive)& elem(m_Down(Z),queue(host(Pid0)))& host(Pid20) = host(Z)& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid20) )=> ~ ( setIn(Pid20,alive)& index(status,host(Pid20)) = norm& index(ldr,host(Pid20)) = host(Pid20) ) ))& (! [Z,Pid20,Pid0] :( ( host(Pid0) != host(Pid20)& setIn(Pid0,alive)& elem(m_Down(Z),queue(host(Pid0)))& host(Pid20) = host(Z)& index(status,host(Pid0)) = wait& host(index(elid,host(Pid0))) = host(Pid20) )=> ~ ( setIn(Pid20,alive)& index(status,host(Pid20)) = norm& index(ldr,host(Pid20)) = host(Pid20) ) ))& (! [Z,Pid30,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& setIn(Z,alive)& leq(host(Z),host(Pid0))& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid30) = host(Pid0)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_1 )=> ~ elem(m_Ack(Z,Pid30),queue(host(Z))) ))& (! [Z,Pid30,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& setIn(Pid0,alive)& leq(nbr_proc,s(host(Pid0)))& elem(m_Down(Pid20),queue(host(Pid0)))& elem(m_Down(Pid30),queue(host(Pid0)))& host(Pid30) = s(host(Pid0))& index(status,host(Pid0)) = elec_1 )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& queue(host(X)) = cons(m_Ack(W,Y),V) )=> ( setIn(X,alive)=> ( ( index(elid,host(X)) = W& 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)))| host(Z) = host(Y) )=> (! [V0] :( host(X) = host(V0)=> (! [W0,X0,Y0] :( host(X) != host(Y0)=> ( ( (! [V1] :( ( ~ leq(host(Y0),V1)& leq(s(zero),V1) )=> ( setIn(V1,index(down,host(Y0)))| V1 = host(X0) ) ))& setIn(Y0,alive)& leq(nbr_proc,s(host(Y0)))& elem(m_Down(W0),queue(host(Y0)))& elem(m_Down(X0),queue(host(Y0)))& host(W0) = s(host(Y0))& index(status,host(Y0)) = elec_1 )=> ~ ( setIn(V0,alive)& host(X) = host(V0) ) ) ) )) )) )) ) ) ) ))),
% 2.21/0.87 inference(negated_conjecture,[status(cth)],[f67])).
% 2.21/0.87 fof(f74,plain,(
% 2.21/0.87 ![X0]: (leq(s(zero),host(X0)))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f3])).
% 2.21/0.87 fof(f76,plain,(
% 2.21/0.87 ![X0]: (leq(host(X0),nbr_proc))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f5])).
% 2.21/0.87 fof(f191,plain,(
% 2.21/0.87 ![X0]: (~leq(s(X0),X0))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f59])).
% 2.21/0.87 fof(f194,plain,(
% 2.21/0.87 ![X,Y]: (((~leq(X,Y)|~leq(Y,X))|X=Y)&((leq(X,Y)&leq(Y,X))|~X=Y))),
% 2.21/0.87 inference(NNF_transformation,[status(esa)],[f62])).
% 2.21/0.87 fof(f195,plain,(
% 2.21/0.87 (![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y))&(![X,Y]: ((leq(X,Y)&leq(Y,X))|~X=Y))),
% 2.21/0.87 inference(miniscoping,[status(esa)],[f194])).
% 2.21/0.87 fof(f196,plain,(
% 2.21/0.87 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f195])).
% 2.21/0.87 fof(f199,plain,(
% 2.21/0.87 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 2.21/0.87 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 2.21/0.87 fof(f200,plain,(
% 2.21/0.87 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 2.21/0.87 inference(miniscoping,[status(esa)],[f199])).
% 2.21/0.87 fof(f201,plain,(
% 2.21/0.87 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f200])).
% 2.21/0.87 fof(f202,plain,(
% 2.21/0.87 ![X,Y]: ((~leq(X,Y)|leq(s(X),s(Y)))&(leq(X,Y)|~leq(s(X),s(Y))))),
% 2.21/0.87 inference(NNF_transformation,[status(esa)],[f64])).
% 2.21/0.87 fof(f203,plain,(
% 2.21/0.87 (![X,Y]: (~leq(X,Y)|leq(s(X),s(Y))))&(![X,Y]: (leq(X,Y)|~leq(s(X),s(Y))))),
% 2.21/0.87 inference(miniscoping,[status(esa)],[f202])).
% 2.21/0.87 fof(f205,plain,(
% 2.21/0.87 ![X0,X1]: (leq(X0,X1)|~leq(s(X0),s(X1)))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f203])).
% 2.21/0.87 fof(f206,plain,(
% 2.21/0.87 ![X,Y]: ((~leq(X,s(Y))|(X=s(Y)|leq(X,Y)))&(leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 2.21/0.87 inference(NNF_transformation,[status(esa)],[f65])).
% 2.21/0.87 fof(f207,plain,(
% 2.21/0.87 (![X,Y]: (~leq(X,s(Y))|(X=s(Y)|leq(X,Y))))&(![X,Y]: (leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 2.21/0.87 inference(miniscoping,[status(esa)],[f206])).
% 2.21/0.87 fof(f208,plain,(
% 2.21/0.87 ![X0,X1]: (~leq(X0,s(X1))|X0=s(X1)|leq(X0,X1))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f207])).
% 2.21/0.87 fof(f210,plain,(
% 2.21/0.87 ![X0,X1]: (leq(X0,s(X1))|~leq(X0,X1))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f207])).
% 2.21/0.87 fof(f212,plain,(
% 2.21/0.87 (?[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]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Z]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z,Pid0]: ((((~setIn(Z,alive)|~setIn(Pid0,alive))|~setIn(host(Pid0),index(down,host(Z))))|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Z,Pid0]: (((~setIn(Pid0,alive)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|(~setIn(Z,alive)|~setIn(host(Pid0),index(down,host(Z)))))))&(![Z,Pid20,Pid0]: (((((~setIn(Z,alive)|~setIn(Pid0,alive))|~elem(m_Down(Pid20),queue(host(Z))))|~host(Pid0)=host(Pid20))|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Z,Pid20,Pid0]: ((((~setIn(Pid0,alive)|~host(Pid20)=host(Pid0))|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|(~setIn(Z,alive)|~elem(m_Down(Pid20),queue(host(Z)))))))&(![Z,Pid0]: ((((((~setIn(Z,alive)|~setIn(Pid0,alive))|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|Pid0=Z)))&(![Z,Pid20,Pid0]: ((((leq(host(Pid20),host(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,Pid30,Pid20,Pid0]: (((((host(Pid20)=host(Z)|~setIn(Z,alive))|~setIn(Pid20,alive))|~host(Pid30)=host(Z))|~host(Pid0)=host(Pid20))|(~elem(m_Down(Pid0),queue(host(Z)))|~elem(m_Down(Pid30),queue(host(Pid20)))))))&(![Z,Pid30,Pid20,Pid0]: (((((host(Pid20)=host(Z)|~setIn(Z,alive))|~setIn(Pid20,alive))|~host(Pid30)=host(Z))|~host(Pid0)=host(Pid20))|(~elem(m_Down(Pid0),queue(host(Z)))|~setIn(host(Pid30),index(down,host(Pid20)))))))&(![Z,Pid20,Pid0]: ((((((host(Pid0)=host(Pid20)|~setIn(Pid0,alive))|~elem(m_Down(Z),queue(host(Pid0))))|~host(Pid20)=host(Z))|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid20))|((~setIn(Pid20,alive)|~index(status,host(Pid20))=norm)|~index(ldr,host(Pid20))=host(Pid20)))))&(![Z,Pid20,Pid0]: ((((((host(Pid0)=host(Pid20)|~setIn(Pid0,alive))|~elem(m_Down(Z),queue(host(Pid0))))|~host(Pid20)=host(Z))|~index(status,host(Pid0))=wait)|~host(index(elid,host(Pid0)))=host(Pid20))|((~setIn(Pid20,alive)|~index(status,host(Pid20))=norm)|~index(ldr,host(Pid20))=host(Pid20)))))&(![Z,Pid30,Pid20,Pid0]: ((((((((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|~setIn(Z,alive))|~leq(host(Z),host(Pid0)))|~elem(m_Down(Pid20),queue(host(Pid0))))|~host(Pid30)=host(Pid0))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_1)|~elem(m_Ack(Z,Pid30),queue(host(Z))))))&(![Z,Pid30,Pid20,Pid0]: ((((((((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|~setIn(Pid0,alive))|~leq(nbr_proc,s(host(Pid0))))|~elem(m_Down(Pid20),queue(host(Pid0))))|~elem(m_Down(Pid30),queue(host(Pid0))))|~host(Pid30)=s(host(Pid0)))|~index(status,host(Pid0))=elec_1)|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&queue(host(X))=cons(m_Ack(W,Y),V))&(setIn(X,alive)&(((index(elid,host(X))=W&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)))&~host(Z)=host(Y))&(?[V0]: (host(X)=host(V0)&(?[W0,X0,Y0]: (~host(X)=host(Y0)&((((((((![V1]: ((leq(host(Y0),V1)|~leq(s(zero),V1))|(setIn(V1,index(down,host(Y0)))|V1=host(X0))))&setIn(Y0,alive))&leq(nbr_proc,s(host(Y0))))&elem(m_Down(W0),queue(host(Y0))))&elem(m_Down(X0),queue(host(Y0))))&host(W0)=s(host(Y0)))&index(status,host(Y0))=elec_1)&(setIn(V0,alive)&host(X)=host(V0))))))))))))))),
% 2.21/0.87 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 2.21/0.87 fof(f213,plain,(
% 2.21/0.87 ?[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]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Z]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z,Pid0]: ((((~setIn(Z,alive)|~setIn(Pid0,alive))|~setIn(host(Pid0),index(down,host(Z))))|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Pid0]: (((~setIn(Pid0,alive)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|(![Z]: (~setIn(Z,alive)|~setIn(host(Pid0),index(down,host(Z))))))))&(![Z,Pid0]: (((![Pid20]: (((~setIn(Z,alive)|~setIn(Pid0,alive))|~elem(m_Down(Pid20),queue(host(Z))))|~host(Pid0)=host(Pid20)))|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Pid20]: ((![Pid0]: (((~setIn(Pid0,alive)|~host(Pid20)=host(Pid0))|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0)))|(![Z]: (~setIn(Z,alive)|~elem(m_Down(Pid20),queue(host(Z))))))))&(![Z,Pid0]: ((((((~setIn(Z,alive)|~setIn(Pid0,alive))|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|Pid0=Z)))&(![Z]: ((![Pid20]: ((![Pid0]: ((leq(host(Pid20),host(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,Pid30,Pid20,Pid0]: (((((host(Pid20)=host(Z)|~setIn(Z,alive))|~setIn(Pid20,alive))|~host(Pid30)=host(Z))|~host(Pid0)=host(Pid20))|(~elem(m_Down(Pid0),queue(host(Z)))|~elem(m_Down(Pid30),queue(host(Pid20)))))))&(![Z,Pid30,Pid20,Pid0]: (((((host(Pid20)=host(Z)|~setIn(Z,alive))|~setIn(Pid20,alive))|~host(Pid30)=host(Z))|~host(Pid0)=host(Pid20))|(~elem(m_Down(Pid0),queue(host(Z)))|~setIn(host(Pid30),index(down,host(Pid20)))))))&(![Pid20]: ((![Pid0]: (((![Z]: (((host(Pid0)=host(Pid20)|~setIn(Pid0,alive))|~elem(m_Down(Z),queue(host(Pid0))))|~host(Pid20)=host(Z)))|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid20)))|((~setIn(Pid20,alive)|~index(status,host(Pid20))=norm)|~index(ldr,host(Pid20))=host(Pid20)))))&(![Pid20]: ((![Pid0]: (((![Z]: (((host(Pid0)=host(Pid20)|~setIn(Pid0,alive))|~elem(m_Down(Z),queue(host(Pid0))))|~host(Pid20)=host(Z)))|~index(status,host(Pid0))=wait)|~host(index(elid,host(Pid0)))=host(Pid20)))|((~setIn(Pid20,alive)|~index(status,host(Pid20))=norm)|~index(ldr,host(Pid20))=host(Pid20)))))&(![Z,Pid30]: ((![Pid0]: ((((![Pid20]: ((((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|~setIn(Z,alive))|~leq(host(Z),host(Pid0)))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid30)=host(Pid0))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_1))|~elem(m_Ack(Z,Pid30),queue(host(Z))))))&((![Pid0]: ((![Pid30]: (((![Pid20]: ((((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|~setIn(Pid0,alive))|~leq(nbr_proc,s(host(Pid0))))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~elem(m_Down(Pid30),queue(host(Pid0))))|~host(Pid30)=s(host(Pid0))))|~index(status,host(Pid0))=elec_1))|(![Z]: ((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(?[V]: queue(host(X))=cons(m_Ack(W,Y),V)))&(setIn(X,alive)&(((index(elid,host(X))=W&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)))&~host(Z)=host(Y)))&(?[V0]: (host(X)=host(V0)&(?[Y0]: (~host(X)=host(Y0)&(((?[W0]: ((?[X0]: (((((![V1]: ((leq(host(Y0),V1)|~leq(s(zero),V1))|(setIn(V1,index(down,host(Y0)))|V1=host(X0))))&setIn(Y0,alive))&leq(nbr_proc,s(host(Y0))))&elem(m_Down(W0),queue(host(Y0))))&elem(m_Down(X0),queue(host(Y0)))))&host(W0)=s(host(Y0))))&index(status,host(Y0))=elec_1)&(setIn(V0,alive)&host(X)=host(V0))))))))))))),
% 2.21/0.87 inference(miniscoping,[status(esa)],[f212])).
% 2.21/0.87 fof(f214,plain,(
% 2.21/0.87 ((((((((((((((((((![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]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Z]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z,Pid0]: ((((~setIn(Z,alive)|~setIn(Pid0,alive))|~setIn(host(Pid0),index(down,host(Z))))|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Pid0]: (((~setIn(Pid0,alive)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|(![Z]: (~setIn(Z,alive)|~setIn(host(Pid0),index(down,host(Z))))))))&(![Z,Pid0]: (((![Pid20]: (((~setIn(Z,alive)|~setIn(Pid0,alive))|~elem(m_Down(Pid20),queue(host(Z))))|~host(Pid0)=host(Pid20)))|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Pid20]: ((![Pid0]: (((~setIn(Pid0,alive)|~host(Pid20)=host(Pid0))|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0)))|(![Z]: (~setIn(Z,alive)|~elem(m_Down(Pid20),queue(host(Z))))))))&(![Z,Pid0]: ((((((~setIn(Z,alive)|~setIn(Pid0,alive))|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|Pid0=Z)))&(![Z]: ((![Pid20]: ((![Pid0]: ((leq(host(Pid20),host(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,Pid30,Pid20,Pid0]: (((((host(Pid20)=host(Z)|~setIn(Z,alive))|~setIn(Pid20,alive))|~host(Pid30)=host(Z))|~host(Pid0)=host(Pid20))|(~elem(m_Down(Pid0),queue(host(Z)))|~elem(m_Down(Pid30),queue(host(Pid20)))))))&(![Z,Pid30,Pid20,Pid0]: (((((host(Pid20)=host(Z)|~setIn(Z,alive))|~setIn(Pid20,alive))|~host(Pid30)=host(Z))|~host(Pid0)=host(Pid20))|(~elem(m_Down(Pid0),queue(host(Z)))|~setIn(host(Pid30),index(down,host(Pid20)))))))&(![Pid20]: ((![Pid0]: (((![Z]: (((host(Pid0)=host(Pid20)|~setIn(Pid0,alive))|~elem(m_Down(Z),queue(host(Pid0))))|~host(Pid20)=host(Z)))|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid20)))|((~setIn(Pid20,alive)|~index(status,host(Pid20))=norm)|~index(ldr,host(Pid20))=host(Pid20)))))&(![Pid20]: ((![Pid0]: (((![Z]: (((host(Pid0)=host(Pid20)|~setIn(Pid0,alive))|~elem(m_Down(Z),queue(host(Pid0))))|~host(Pid20)=host(Z)))|~index(status,host(Pid0))=wait)|~host(index(elid,host(Pid0)))=host(Pid20)))|((~setIn(Pid20,alive)|~index(status,host(Pid20))=norm)|~index(ldr,host(Pid20))=host(Pid20)))))&(![Z,Pid30]: ((![Pid0]: ((((![Pid20]: (((((~leq(host(Pid0),sk0_7(Pid20,Pid0,Pid30,Z))&leq(s(zero),sk0_7(Pid20,Pid0,Pid30,Z)))&(~setIn(sk0_7(Pid20,Pid0,Pid30,Z),index(down,host(Pid0)))&~sk0_7(Pid20,Pid0,Pid30,Z)=host(Pid20)))|~setIn(Z,alive))|~leq(host(Z),host(Pid0)))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid30)=host(Pid0))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_1))|~elem(m_Ack(Z,Pid30),queue(host(Z))))))&((![Pid0]: ((![Pid30]: (((![Pid20]: (((((~leq(host(Pid0),sk0_8(Pid20,Pid30,Pid0))&leq(s(zero),sk0_8(Pid20,Pid30,Pid0)))&(~setIn(sk0_8(Pid20,Pid30,Pid0),index(down,host(Pid0)))&~sk0_8(Pid20,Pid30,Pid0)=host(Pid20)))|~setIn(Pid0,alive))|~leq(nbr_proc,s(host(Pid0))))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~elem(m_Down(Pid30),queue(host(Pid0))))|~host(Pid30)=s(host(Pid0))))|~index(status,host(Pid0))=elec_1))|(![Z]: ((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&queue(host(sk0_5))=cons(m_Ack(sk0_4,sk0_6),sk0_9))&(setIn(sk0_5,alive)&(((index(elid,host(sk0_5))=sk0_4&index(status,host(sk0_5))=elec_2)&host(sk0_6)=index(pendack,host(sk0_5)))&(leq(nbr_proc,index(pendack,host(sk0_5)))&((~setIn(host(sk0_10),index(acks,host(sk0_5)))&~host(sk0_10)=host(sk0_6))&(host(sk0_5)=host(sk0_11)&(~host(sk0_5)=host(sk0_12)&((((((((![V1]: ((leq(host(sk0_12),V1)|~leq(s(zero),V1))|(setIn(V1,index(down,host(sk0_12)))|V1=host(sk0_14))))&setIn(sk0_12,alive))&leq(nbr_proc,s(host(sk0_12))))&elem(m_Down(sk0_13),queue(host(sk0_12))))&elem(m_Down(sk0_14),queue(host(sk0_12))))&host(sk0_13)=s(host(sk0_12)))&index(status,host(sk0_12))=elec_1)&(setIn(sk0_11,alive)&host(sk0_5)=host(sk0_11))))))))))),
% 2.21/0.87 inference(skolemization,[status(esa)],[f213])).
% 2.21/0.87 fof(f219,plain,(
% 2.21/0.87 ![X0]: (~index(status,host(X0))=elec_2|~setIn(X0,alive)|index(elid,host(X0))=X0)),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.87 fof(f220,plain,(
% 2.21/0.87 ![X0,X1]: (~setIn(X0,alive)|~setIn(X1,alive)|~setIn(host(X1),index(down,host(X0)))|~index(status,host(X1))=elec_2|leq(index(pendack,host(X1)),host(X0)))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.87 fof(f222,plain,(
% 2.21/0.87 ![X0,X1,X2]: (~setIn(X0,alive)|~setIn(X1,alive)|~elem(m_Down(X2),queue(host(X0)))|~host(X1)=host(X2)|~index(status,host(X1))=elec_2|leq(index(pendack,host(X1)),host(X0)))),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.87 fof(f239,plain,(
% 2.21/0.87 setIn(sk0_5,alive)),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.87 fof(f240,plain,(
% 2.21/0.87 index(elid,host(sk0_5))=sk0_4),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.87 fof(f241,plain,(
% 2.21/0.87 index(status,host(sk0_5))=elec_2),
% 2.21/0.87 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.87 fof(f242,plain,(
% 2.21/0.89 host(sk0_6)=index(pendack,host(sk0_5))),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f243,plain,(
% 2.21/0.89 leq(nbr_proc,index(pendack,host(sk0_5)))),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f247,plain,(
% 2.21/0.89 ~host(sk0_5)=host(sk0_12)),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f248,plain,(
% 2.21/0.89 ![X0]: (leq(host(sk0_12),X0)|~leq(s(zero),X0)|setIn(X0,index(down,host(sk0_12)))|X0=host(sk0_14))),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f249,plain,(
% 2.21/0.89 setIn(sk0_12,alive)),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f250,plain,(
% 2.21/0.89 leq(nbr_proc,s(host(sk0_12)))),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f251,plain,(
% 2.21/0.89 elem(m_Down(sk0_13),queue(host(sk0_12)))),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f252,plain,(
% 2.21/0.89 elem(m_Down(sk0_14),queue(host(sk0_12)))),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f253,plain,(
% 2.21/0.89 host(sk0_13)=s(host(sk0_12))),
% 2.21/0.89 inference(cnf_transformation,[status(esa)],[f214])).
% 2.21/0.89 fof(f312,plain,(
% 2.21/0.89 leq(nbr_proc,host(sk0_13))),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f253,f250])).
% 2.21/0.89 fof(f315,plain,(
% 2.21/0.89 leq(nbr_proc,host(sk0_6))),
% 2.21/0.89 inference(forward_demodulation,[status(thm)],[f242,f243])).
% 2.21/0.89 fof(f320,plain,(
% 2.21/0.89 spl0_11 <=> setIn(sk0_5,alive)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f322,plain,(
% 2.21/0.89 ~setIn(sk0_5,alive)|spl0_11),
% 2.21/0.89 inference(component_clause,[status(thm)],[f320])).
% 2.21/0.89 fof(f336,plain,(
% 2.21/0.89 $false|spl0_11),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f322,f239])).
% 2.21/0.89 fof(f337,plain,(
% 2.21/0.89 spl0_11),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f336])).
% 2.21/0.89 fof(f352,plain,(
% 2.21/0.89 spl0_15 <=> sk0_4=sk0_5),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f353,plain,(
% 2.21/0.89 sk0_4=sk0_5|~spl0_15),
% 2.21/0.89 inference(component_clause,[status(thm)],[f352])).
% 2.21/0.89 fof(f358,plain,(
% 2.21/0.89 spl0_16 <=> index(status,host(sk0_5))=elec_2),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f360,plain,(
% 2.21/0.89 ~index(status,host(sk0_5))=elec_2|spl0_16),
% 2.21/0.89 inference(component_clause,[status(thm)],[f358])).
% 2.21/0.89 fof(f361,plain,(
% 2.21/0.89 ~index(status,host(sk0_5))=elec_2|~setIn(sk0_5,alive)|sk0_4=sk0_5),
% 2.21/0.89 inference(paramodulation,[status(thm)],[f240,f219])).
% 2.21/0.89 fof(f362,plain,(
% 2.21/0.89 ~spl0_16|~spl0_11|spl0_15),
% 2.21/0.89 inference(split_clause,[status(thm)],[f361,f358,f320,f352])).
% 2.21/0.89 fof(f363,plain,(
% 2.21/0.89 ~elec_2=elec_2|spl0_16),
% 2.21/0.89 inference(forward_demodulation,[status(thm)],[f241,f360])).
% 2.21/0.89 fof(f364,plain,(
% 2.21/0.89 $false|spl0_16),
% 2.21/0.89 inference(trivial_equality_resolution,[status(esa)],[f363])).
% 2.21/0.89 fof(f365,plain,(
% 2.21/0.89 spl0_16),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f364])).
% 2.21/0.89 fof(f375,plain,(
% 2.21/0.89 host(sk0_6)=index(pendack,host(sk0_4))|~spl0_15),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f353,f242])).
% 2.21/0.89 fof(f376,plain,(
% 2.21/0.89 index(status,host(sk0_4))=elec_2|~spl0_15),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f353,f241])).
% 2.21/0.89 fof(f378,plain,(
% 2.21/0.89 ~host(sk0_4)=host(sk0_12)|~spl0_15),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f353,f247])).
% 2.21/0.89 fof(f379,plain,(
% 2.21/0.89 setIn(sk0_4,alive)|~spl0_15),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f353,f239])).
% 2.21/0.89 fof(f380,plain,(
% 2.21/0.89 spl0_17 <=> ~setIn(X0,alive)|~setIn(host(sk0_4),index(down,host(X0)))|leq(host(sk0_6),host(X0))),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f381,plain,(
% 2.21/0.89 ![X0]: (~setIn(X0,alive)|~setIn(host(sk0_4),index(down,host(X0)))|leq(host(sk0_6),host(X0))|~spl0_17)),
% 2.21/0.89 inference(component_clause,[status(thm)],[f380])).
% 2.21/0.89 fof(f383,plain,(
% 2.21/0.89 spl0_18 <=> setIn(sk0_4,alive)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f385,plain,(
% 2.21/0.89 ~setIn(sk0_4,alive)|spl0_18),
% 2.21/0.89 inference(component_clause,[status(thm)],[f383])).
% 2.21/0.89 fof(f386,plain,(
% 2.21/0.89 spl0_19 <=> index(status,host(sk0_4))=elec_2),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f388,plain,(
% 2.21/0.89 ~index(status,host(sk0_4))=elec_2|spl0_19),
% 2.21/0.89 inference(component_clause,[status(thm)],[f386])).
% 2.21/0.89 fof(f389,plain,(
% 2.21/0.89 ![X0]: (~setIn(X0,alive)|~setIn(sk0_4,alive)|~setIn(host(sk0_4),index(down,host(X0)))|~index(status,host(sk0_4))=elec_2|leq(host(sk0_6),host(X0))|~spl0_15)),
% 2.21/0.89 inference(paramodulation,[status(thm)],[f375,f220])).
% 2.21/0.89 fof(f390,plain,(
% 2.21/0.89 spl0_17|~spl0_18|~spl0_19|~spl0_15),
% 2.21/0.89 inference(split_clause,[status(thm)],[f389,f380,f383,f386,f352])).
% 2.21/0.89 fof(f391,plain,(
% 2.21/0.89 spl0_20 <=> ~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(sk0_4)=host(X1)|leq(host(sk0_6),host(X0))),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f392,plain,(
% 2.21/0.89 ![X0,X1]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(sk0_4)=host(X1)|leq(host(sk0_6),host(X0))|~spl0_20)),
% 2.21/0.89 inference(component_clause,[status(thm)],[f391])).
% 2.21/0.89 fof(f394,plain,(
% 2.21/0.89 ![X0,X1]: (~setIn(X0,alive)|~setIn(sk0_4,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(sk0_4)=host(X1)|~index(status,host(sk0_4))=elec_2|leq(host(sk0_6),host(X0))|~spl0_15)),
% 2.21/0.89 inference(paramodulation,[status(thm)],[f375,f222])).
% 2.21/0.89 fof(f395,plain,(
% 2.21/0.89 spl0_20|~spl0_18|~spl0_19|~spl0_15),
% 2.21/0.89 inference(split_clause,[status(thm)],[f394,f391,f383,f386,f352])).
% 2.21/0.89 fof(f396,plain,(
% 2.21/0.89 ~leq(host(sk0_13),host(sk0_12))),
% 2.21/0.89 inference(paramodulation,[status(thm)],[f253,f191])).
% 2.21/0.89 fof(f417,plain,(
% 2.21/0.89 ~elec_2=elec_2|~spl0_15|spl0_19),
% 2.21/0.89 inference(forward_demodulation,[status(thm)],[f376,f388])).
% 2.21/0.89 fof(f418,plain,(
% 2.21/0.89 $false|~spl0_15|spl0_19),
% 2.21/0.89 inference(trivial_equality_resolution,[status(esa)],[f417])).
% 2.21/0.89 fof(f419,plain,(
% 2.21/0.89 ~spl0_15|spl0_19),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f418])).
% 2.21/0.89 fof(f420,plain,(
% 2.21/0.89 $false|~spl0_15|spl0_18),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f385,f379])).
% 2.21/0.89 fof(f421,plain,(
% 2.21/0.89 ~spl0_15|spl0_18),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f420])).
% 2.21/0.89 fof(f448,plain,(
% 2.21/0.89 spl0_26 <=> setIn(sk0_12,alive)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f450,plain,(
% 2.21/0.89 ~setIn(sk0_12,alive)|spl0_26),
% 2.21/0.89 inference(component_clause,[status(thm)],[f448])).
% 2.21/0.89 fof(f451,plain,(
% 2.21/0.89 spl0_27 <=> leq(host(sk0_6),host(sk0_12))),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f452,plain,(
% 2.21/0.89 leq(host(sk0_6),host(sk0_12))|~spl0_27),
% 2.21/0.89 inference(component_clause,[status(thm)],[f451])).
% 2.21/0.89 fof(f454,plain,(
% 2.21/0.89 spl0_28 <=> leq(host(sk0_12),host(sk0_4))),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f455,plain,(
% 2.21/0.89 leq(host(sk0_12),host(sk0_4))|~spl0_28),
% 2.21/0.89 inference(component_clause,[status(thm)],[f454])).
% 2.21/0.89 fof(f457,plain,(
% 2.21/0.89 spl0_29 <=> leq(s(zero),host(sk0_4))),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f459,plain,(
% 2.21/0.89 ~leq(s(zero),host(sk0_4))|spl0_29),
% 2.21/0.89 inference(component_clause,[status(thm)],[f457])).
% 2.21/0.89 fof(f460,plain,(
% 2.21/0.89 spl0_30 <=> host(sk0_4)=host(sk0_14)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f463,plain,(
% 2.21/0.89 ~setIn(sk0_12,alive)|leq(host(sk0_6),host(sk0_12))|leq(host(sk0_12),host(sk0_4))|~leq(s(zero),host(sk0_4))|host(sk0_4)=host(sk0_14)|~spl0_17),
% 2.21/0.89 inference(resolution,[status(thm)],[f381,f248])).
% 2.21/0.89 fof(f464,plain,(
% 2.21/0.89 ~spl0_26|spl0_27|spl0_28|~spl0_29|spl0_30|~spl0_17),
% 2.21/0.89 inference(split_clause,[status(thm)],[f463,f448,f451,f454,f457,f460,f380])).
% 2.21/0.89 fof(f465,plain,(
% 2.21/0.89 $false|spl0_29),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f459,f74])).
% 2.21/0.89 fof(f466,plain,(
% 2.21/0.89 spl0_29),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f465])).
% 2.21/0.89 fof(f467,plain,(
% 2.21/0.89 $false|spl0_26),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f450,f249])).
% 2.21/0.89 fof(f468,plain,(
% 2.21/0.89 spl0_26),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f467])).
% 2.21/0.89 fof(f529,plain,(
% 2.21/0.89 spl0_43 <=> host(sk0_13)=host(sk0_4)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f531,plain,(
% 2.21/0.89 ~host(sk0_13)=host(sk0_4)|spl0_43),
% 2.21/0.89 inference(component_clause,[status(thm)],[f529])).
% 2.21/0.89 fof(f571,plain,(
% 2.21/0.89 ~setIn(sk0_12,alive)|~host(sk0_4)=host(sk0_14)|leq(host(sk0_6),host(sk0_12))|~spl0_20),
% 2.21/0.89 inference(resolution,[status(thm)],[f392,f252])).
% 2.21/0.89 fof(f572,plain,(
% 2.21/0.89 ~spl0_26|~spl0_30|spl0_27|~spl0_20),
% 2.21/0.89 inference(split_clause,[status(thm)],[f571,f448,f460,f451,f391])).
% 2.21/0.89 fof(f666,plain,(
% 2.21/0.89 spl0_65 <=> leq(host(sk0_6),nbr_proc)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f668,plain,(
% 2.21/0.89 ~leq(host(sk0_6),nbr_proc)|spl0_65),
% 2.21/0.89 inference(component_clause,[status(thm)],[f666])).
% 2.21/0.89 fof(f669,plain,(
% 2.21/0.89 spl0_66 <=> host(sk0_6)=nbr_proc),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f670,plain,(
% 2.21/0.89 host(sk0_6)=nbr_proc|~spl0_66),
% 2.21/0.89 inference(component_clause,[status(thm)],[f669])).
% 2.21/0.89 fof(f672,plain,(
% 2.21/0.89 ~leq(host(sk0_6),nbr_proc)|host(sk0_6)=nbr_proc),
% 2.21/0.89 inference(resolution,[status(thm)],[f196,f315])).
% 2.21/0.89 fof(f673,plain,(
% 2.21/0.89 ~spl0_65|spl0_66),
% 2.21/0.89 inference(split_clause,[status(thm)],[f672,f666,f669])).
% 2.21/0.89 fof(f674,plain,(
% 2.21/0.89 spl0_67 <=> leq(host(sk0_13),nbr_proc)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f676,plain,(
% 2.21/0.89 ~leq(host(sk0_13),nbr_proc)|spl0_67),
% 2.21/0.89 inference(component_clause,[status(thm)],[f674])).
% 2.21/0.89 fof(f677,plain,(
% 2.21/0.89 spl0_68 <=> host(sk0_13)=nbr_proc),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f678,plain,(
% 2.21/0.89 host(sk0_13)=nbr_proc|~spl0_68),
% 2.21/0.89 inference(component_clause,[status(thm)],[f677])).
% 2.21/0.89 fof(f680,plain,(
% 2.21/0.89 ~leq(host(sk0_13),nbr_proc)|host(sk0_13)=nbr_proc),
% 2.21/0.89 inference(resolution,[status(thm)],[f196,f312])).
% 2.21/0.89 fof(f681,plain,(
% 2.21/0.89 ~spl0_67|spl0_68),
% 2.21/0.89 inference(split_clause,[status(thm)],[f680,f674,f677])).
% 2.21/0.89 fof(f693,plain,(
% 2.21/0.89 $false|spl0_67),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f676,f76])).
% 2.21/0.89 fof(f694,plain,(
% 2.21/0.89 spl0_67),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f693])).
% 2.21/0.89 fof(f695,plain,(
% 2.21/0.89 $false|spl0_65),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f668,f76])).
% 2.21/0.89 fof(f696,plain,(
% 2.21/0.89 spl0_65),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f695])).
% 2.21/0.89 fof(f744,plain,(
% 2.21/0.89 ![X0,X1]: (~leq(s(X0),X1)|~leq(X1,X0))),
% 2.21/0.89 inference(resolution,[status(thm)],[f201,f191])).
% 2.21/0.89 fof(f866,plain,(
% 2.21/0.89 ~leq(nbr_proc,host(sk0_12))|~spl0_68),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f678,f396])).
% 2.21/0.89 fof(f870,plain,(
% 2.21/0.89 nbr_proc=s(host(sk0_12))|~spl0_68),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f678,f253])).
% 2.21/0.89 fof(f953,plain,(
% 2.21/0.89 spl0_98 <=> host(sk0_4)=nbr_proc),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f954,plain,(
% 2.21/0.89 host(sk0_4)=nbr_proc|~spl0_98),
% 2.21/0.89 inference(component_clause,[status(thm)],[f953])).
% 2.21/0.89 fof(f1022,plain,(
% 2.21/0.89 leq(nbr_proc,host(sk0_12))|~spl0_66|~spl0_27),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f670,f452])).
% 2.21/0.89 fof(f1023,plain,(
% 2.21/0.89 ![X0,X1]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(sk0_4)=host(X1)|leq(nbr_proc,host(X0))|~spl0_66|~spl0_20)),
% 2.21/0.89 inference(backward_demodulation,[status(thm)],[f670,f392])).
% 2.21/0.89 fof(f1150,plain,(
% 2.21/0.89 ![X0]: (~leq(nbr_proc,X0)|~leq(X0,host(sk0_12))|~spl0_68)),
% 2.21/0.89 inference(paramodulation,[status(thm)],[f870,f744])).
% 2.21/0.89 fof(f1163,plain,(
% 2.21/0.89 $false|~spl0_68|~spl0_66|~spl0_27),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f1022,f866])).
% 2.21/0.89 fof(f1164,plain,(
% 2.21/0.89 ~spl0_68|~spl0_66|~spl0_27),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f1163])).
% 2.21/0.89 fof(f1165,plain,(
% 2.21/0.89 ~nbr_proc=host(sk0_4)|~spl0_68|spl0_43),
% 2.21/0.89 inference(forward_demodulation,[status(thm)],[f678,f531])).
% 2.21/0.89 fof(f1228,plain,(
% 2.21/0.89 spl0_140 <=> leq(host(sk0_4),host(sk0_12))),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f1230,plain,(
% 2.21/0.89 ~leq(host(sk0_4),host(sk0_12))|spl0_140),
% 2.21/0.89 inference(component_clause,[status(thm)],[f1228])).
% 2.21/0.89 fof(f1231,plain,(
% 2.21/0.89 spl0_141 <=> host(sk0_4)=host(sk0_12)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f1232,plain,(
% 2.21/0.89 host(sk0_4)=host(sk0_12)|~spl0_141),
% 2.21/0.89 inference(component_clause,[status(thm)],[f1231])).
% 2.21/0.89 fof(f1234,plain,(
% 2.21/0.89 ~leq(host(sk0_4),host(sk0_12))|host(sk0_4)=host(sk0_12)|~spl0_28),
% 2.21/0.89 inference(resolution,[status(thm)],[f455,f196])).
% 2.21/0.89 fof(f1235,plain,(
% 2.21/0.89 ~spl0_140|spl0_141|~spl0_28),
% 2.21/0.89 inference(split_clause,[status(thm)],[f1234,f1228,f1231,f454])).
% 2.21/0.89 fof(f1380,plain,(
% 2.21/0.89 ![X0,X1]: (leq(X0,X1)|~leq(s(X0),X1))),
% 2.21/0.89 inference(resolution,[status(thm)],[f205,f210])).
% 2.21/0.89 fof(f1406,plain,(
% 2.21/0.89 ![X0]: (leq(host(sk0_12),X0)|~leq(nbr_proc,X0)|~spl0_68)),
% 2.21/0.89 inference(paramodulation,[status(thm)],[f870,f1380])).
% 2.21/0.89 fof(f1613,plain,(
% 2.21/0.89 $false|~spl0_15|~spl0_141),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f1232,f378])).
% 2.21/0.89 fof(f1614,plain,(
% 2.21/0.89 ~spl0_15|~spl0_141),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f1613])).
% 2.21/0.89 fof(f1752,plain,(
% 2.21/0.89 spl0_190 <=> leq(nbr_proc,host(sk0_12))),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f1755,plain,(
% 2.21/0.89 ~leq(nbr_proc,host(sk0_12))|~leq(nbr_proc,host(sk0_12))|~spl0_68),
% 2.21/0.89 inference(resolution,[status(thm)],[f1406,f1150])).
% 2.21/0.89 fof(f1756,plain,(
% 2.21/0.89 ~spl0_190|~spl0_68),
% 2.21/0.89 inference(split_clause,[status(thm)],[f1755,f1752,f677])).
% 2.21/0.89 fof(f1811,plain,(
% 2.21/0.89 ~setIn(sk0_12,alive)|~host(sk0_4)=host(sk0_13)|leq(nbr_proc,host(sk0_12))|~spl0_66|~spl0_20),
% 2.21/0.89 inference(resolution,[status(thm)],[f1023,f251])).
% 2.21/0.89 fof(f1812,plain,(
% 2.21/0.89 ~spl0_26|~spl0_43|spl0_190|~spl0_66|~spl0_20),
% 2.21/0.89 inference(split_clause,[status(thm)],[f1811,f448,f529,f1752,f669,f391])).
% 2.21/0.89 fof(f2026,plain,(
% 2.21/0.89 ![X0]: (~leq(X0,nbr_proc)|X0=s(host(sk0_12))|leq(X0,host(sk0_12))|~spl0_68)),
% 2.21/0.89 inference(paramodulation,[status(thm)],[f870,f208])).
% 2.21/0.89 fof(f2027,plain,(
% 2.21/0.89 ![X0]: (~leq(X0,nbr_proc)|X0=nbr_proc|leq(X0,host(sk0_12))|~spl0_68)),
% 2.21/0.89 inference(forward_demodulation,[status(thm)],[f870,f2026])).
% 2.21/0.89 fof(f2584,plain,(
% 2.21/0.89 spl0_212 <=> leq(host(sk0_4),nbr_proc)),
% 2.21/0.89 introduced(split_symbol_definition)).
% 2.21/0.89 fof(f2586,plain,(
% 2.21/0.89 ~leq(host(sk0_4),nbr_proc)|spl0_212),
% 2.21/0.89 inference(component_clause,[status(thm)],[f2584])).
% 2.21/0.89 fof(f2587,plain,(
% 2.21/0.89 ~leq(host(sk0_4),nbr_proc)|host(sk0_4)=nbr_proc|~spl0_68|spl0_140),
% 2.21/0.89 inference(resolution,[status(thm)],[f2027,f1230])).
% 2.21/0.89 fof(f2588,plain,(
% 2.21/0.89 ~spl0_212|spl0_98|~spl0_68|spl0_140),
% 2.21/0.89 inference(split_clause,[status(thm)],[f2587,f2584,f953,f677,f1228])).
% 2.21/0.89 fof(f2655,plain,(
% 2.21/0.89 $false|spl0_212),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f2586,f76])).
% 2.21/0.89 fof(f2656,plain,(
% 2.21/0.89 spl0_212),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f2655])).
% 2.21/0.89 fof(f2663,plain,(
% 2.21/0.89 $false|~spl0_68|spl0_43|~spl0_98),
% 2.21/0.89 inference(forward_subsumption_resolution,[status(thm)],[f954,f1165])).
% 2.21/0.89 fof(f2664,plain,(
% 2.21/0.89 ~spl0_68|spl0_43|~spl0_98),
% 2.21/0.89 inference(contradiction_clause,[status(thm)],[f2663])).
% 2.21/0.89 fof(f2665,plain,(
% 2.21/0.89 $false),
% 2.21/0.89 inference(sat_refutation,[status(thm)],[f337,f362,f365,f390,f395,f419,f421,f464,f466,f468,f572,f673,f681,f694,f696,f1164,f1235,f1614,f1756,f1812,f2588,f2656,f2664])).
% 2.21/0.89 % SZS output end CNFRefutation for theBenchmark.p
% 2.21/0.90 % Elapsed time: 0.545109 seconds
% 2.21/0.90 % CPU time: 2.308533 seconds
% 2.21/0.90 % Memory used: 81.076 MB
%------------------------------------------------------------------------------