TSTP Solution File: SWV476+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV476+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:47:10 EDT 2024
% Result : Theorem 2.12s 0.67s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV476+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:51:40 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 2.12/0.67 % Refutation found
% 2.12/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.12/0.67 % SZS output start CNFRefutation for theBenchmark
% 2.12/0.67 fof(f3,axiom,(
% 2.12/0.67 (! [P] : leq(s(zero),host(P)) )),
% 2.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.67 fof(f5,axiom,(
% 2.12/0.67 (! [P] : leq(host(P),nbr_proc) )),
% 2.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.67 fof(f59,axiom,(
% 2.12/0.67 (! [X] : ~ leq(s(X),X) )),
% 2.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.67 fof(f62,axiom,(
% 2.12/0.67 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )<=> X = Y ) )),
% 2.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.67 fof(f63,axiom,(
% 2.12/0.67 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 2.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.67 fof(f64,axiom,(
% 2.12/0.67 (! [X,Y] :( leq(X,Y)<=> leq(s(X),s(Y)) ) )),
% 2.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.67 fof(f65,axiom,(
% 2.12/0.67 (! [X,Y] :( leq(X,s(Y))<=> ( X = s(Y)| leq(X,Y) ) ) )),
% 2.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.67 fof(f67,conjecture,(
% 2.12/0.67 (! [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(Z) != host(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) ) ) ) ) )) )) )) ) ) ) )),
% 2.12/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.12/0.67 fof(f68,negated_conjecture,(
% 2.12/0.67 ~((! [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(Z) != host(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) ) ) ) ) )) )) )) ) ) ) ))),
% 2.12/0.67 inference(negated_conjecture,[status(cth)],[f67])).
% 2.12/0.67 fof(f74,plain,(
% 2.12/0.67 ![X0]: (leq(s(zero),host(X0)))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f3])).
% 2.12/0.67 fof(f76,plain,(
% 2.12/0.67 ![X0]: (leq(host(X0),nbr_proc))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f5])).
% 2.12/0.67 fof(f191,plain,(
% 2.12/0.67 ![X0]: (~leq(s(X0),X0))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f59])).
% 2.12/0.67 fof(f194,plain,(
% 2.12/0.67 ![X,Y]: (((~leq(X,Y)|~leq(Y,X))|X=Y)&((leq(X,Y)&leq(Y,X))|~X=Y))),
% 2.12/0.67 inference(NNF_transformation,[status(esa)],[f62])).
% 2.12/0.67 fof(f195,plain,(
% 2.12/0.67 (![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y))&(![X,Y]: ((leq(X,Y)&leq(Y,X))|~X=Y))),
% 2.12/0.67 inference(miniscoping,[status(esa)],[f194])).
% 2.12/0.67 fof(f196,plain,(
% 2.12/0.67 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f195])).
% 2.12/0.67 fof(f199,plain,(
% 2.12/0.67 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 2.12/0.67 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 2.12/0.67 fof(f200,plain,(
% 2.12/0.67 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 2.12/0.67 inference(miniscoping,[status(esa)],[f199])).
% 2.12/0.67 fof(f201,plain,(
% 2.12/0.67 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f200])).
% 2.12/0.67 fof(f202,plain,(
% 2.12/0.67 ![X,Y]: ((~leq(X,Y)|leq(s(X),s(Y)))&(leq(X,Y)|~leq(s(X),s(Y))))),
% 2.12/0.67 inference(NNF_transformation,[status(esa)],[f64])).
% 2.12/0.67 fof(f203,plain,(
% 2.12/0.67 (![X,Y]: (~leq(X,Y)|leq(s(X),s(Y))))&(![X,Y]: (leq(X,Y)|~leq(s(X),s(Y))))),
% 2.12/0.67 inference(miniscoping,[status(esa)],[f202])).
% 2.12/0.67 fof(f205,plain,(
% 2.12/0.67 ![X0,X1]: (leq(X0,X1)|~leq(s(X0),s(X1)))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f203])).
% 2.12/0.67 fof(f206,plain,(
% 2.12/0.67 ![X,Y]: ((~leq(X,s(Y))|(X=s(Y)|leq(X,Y)))&(leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 2.12/0.67 inference(NNF_transformation,[status(esa)],[f65])).
% 2.12/0.67 fof(f207,plain,(
% 2.12/0.67 (![X,Y]: (~leq(X,s(Y))|(X=s(Y)|leq(X,Y))))&(![X,Y]: (leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 2.12/0.67 inference(miniscoping,[status(esa)],[f206])).
% 2.12/0.67 fof(f208,plain,(
% 2.12/0.67 ![X0,X1]: (~leq(X0,s(X1))|X0=s(X1)|leq(X0,X1))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f207])).
% 2.12/0.67 fof(f210,plain,(
% 2.12/0.67 ![X0,X1]: (leq(X0,s(X1))|~leq(X0,X1))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f207])).
% 2.12/0.67 fof(f212,plain,(
% 2.12/0.67 (?[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(Z)=host(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)))))))))))))))),
% 2.12/0.67 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 2.12/0.67 fof(f213,plain,(
% 2.12/0.67 ?[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(Z)=host(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))))))))))))))),
% 2.12/0.67 inference(miniscoping,[status(esa)],[f212])).
% 2.12/0.67 fof(f214,plain,(
% 2.12/0.67 ((((((((((((((((((![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_10)=host(sk0_12)&(~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)))))))))))),
% 2.12/0.67 inference(skolemization,[status(esa)],[f213])).
% 2.12/0.67 fof(f219,plain,(
% 2.12/0.67 ![X0]: (~index(status,host(X0))=elec_2|~setIn(X0,alive)|index(elid,host(X0))=X0)),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f220,plain,(
% 2.12/0.67 ![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)))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f222,plain,(
% 2.12/0.67 ![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)))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f239,plain,(
% 2.12/0.67 setIn(sk0_5,alive)),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f240,plain,(
% 2.12/0.67 index(elid,host(sk0_5))=sk0_4),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f241,plain,(
% 2.12/0.67 index(status,host(sk0_5))=elec_2),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f242,plain,(
% 2.12/0.67 host(sk0_6)=index(pendack,host(sk0_5))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f243,plain,(
% 2.12/0.67 leq(nbr_proc,index(pendack,host(sk0_5)))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f247,plain,(
% 2.12/0.67 ~host(sk0_5)=host(sk0_12)),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f248,plain,(
% 2.12/0.67 ![X0]: (leq(host(sk0_12),X0)|~leq(s(zero),X0)|setIn(X0,index(down,host(sk0_12)))|X0=host(sk0_14))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f249,plain,(
% 2.12/0.67 setIn(sk0_12,alive)),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f250,plain,(
% 2.12/0.67 leq(nbr_proc,s(host(sk0_12)))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f251,plain,(
% 2.12/0.67 elem(m_Down(sk0_13),queue(host(sk0_12)))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f252,plain,(
% 2.12/0.67 elem(m_Down(sk0_14),queue(host(sk0_12)))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f253,plain,(
% 2.12/0.67 host(sk0_13)=s(host(sk0_12))),
% 2.12/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.12/0.67 fof(f319,plain,(
% 2.12/0.67 leq(nbr_proc,host(sk0_13))),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f253,f250])).
% 2.12/0.67 fof(f322,plain,(
% 2.12/0.67 leq(nbr_proc,host(sk0_6))),
% 2.12/0.67 inference(forward_demodulation,[status(thm)],[f242,f243])).
% 2.12/0.67 fof(f326,plain,(
% 2.12/0.67 spl0_13 <=> setIn(sk0_5,alive)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f328,plain,(
% 2.12/0.67 ~setIn(sk0_5,alive)|spl0_13),
% 2.12/0.67 inference(component_clause,[status(thm)],[f326])).
% 2.12/0.67 fof(f342,plain,(
% 2.12/0.67 $false|spl0_13),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f328,f239])).
% 2.12/0.67 fof(f343,plain,(
% 2.12/0.67 spl0_13),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f342])).
% 2.12/0.67 fof(f359,plain,(
% 2.12/0.67 spl0_17 <=> sk0_4=sk0_5),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f360,plain,(
% 2.12/0.67 sk0_4=sk0_5|~spl0_17),
% 2.12/0.67 inference(component_clause,[status(thm)],[f359])).
% 2.12/0.67 fof(f365,plain,(
% 2.12/0.67 spl0_18 <=> index(status,host(sk0_5))=elec_2),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f367,plain,(
% 2.12/0.67 ~index(status,host(sk0_5))=elec_2|spl0_18),
% 2.12/0.67 inference(component_clause,[status(thm)],[f365])).
% 2.12/0.67 fof(f368,plain,(
% 2.12/0.67 ~index(status,host(sk0_5))=elec_2|~setIn(sk0_5,alive)|sk0_4=sk0_5),
% 2.12/0.67 inference(paramodulation,[status(thm)],[f240,f219])).
% 2.12/0.67 fof(f369,plain,(
% 2.12/0.67 ~spl0_18|~spl0_13|spl0_17),
% 2.12/0.67 inference(split_clause,[status(thm)],[f368,f365,f326,f359])).
% 2.12/0.67 fof(f370,plain,(
% 2.12/0.67 ~elec_2=elec_2|spl0_18),
% 2.12/0.67 inference(forward_demodulation,[status(thm)],[f241,f367])).
% 2.12/0.67 fof(f371,plain,(
% 2.12/0.67 $false|spl0_18),
% 2.12/0.67 inference(trivial_equality_resolution,[status(esa)],[f370])).
% 2.12/0.67 fof(f372,plain,(
% 2.12/0.67 spl0_18),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f371])).
% 2.12/0.67 fof(f381,plain,(
% 2.12/0.67 host(sk0_6)=index(pendack,host(sk0_4))|~spl0_17),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f360,f242])).
% 2.12/0.67 fof(f382,plain,(
% 2.12/0.67 index(status,host(sk0_4))=elec_2|~spl0_17),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f360,f241])).
% 2.12/0.67 fof(f384,plain,(
% 2.12/0.67 ~host(sk0_4)=host(sk0_12)|~spl0_17),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f360,f247])).
% 2.12/0.67 fof(f386,plain,(
% 2.12/0.67 setIn(sk0_4,alive)|~spl0_17),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f360,f239])).
% 2.12/0.67 fof(f387,plain,(
% 2.12/0.67 spl0_19 <=> ~setIn(X0,alive)|~setIn(host(sk0_4),index(down,host(X0)))|leq(host(sk0_6),host(X0))),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f388,plain,(
% 2.12/0.67 ![X0]: (~setIn(X0,alive)|~setIn(host(sk0_4),index(down,host(X0)))|leq(host(sk0_6),host(X0))|~spl0_19)),
% 2.12/0.67 inference(component_clause,[status(thm)],[f387])).
% 2.12/0.67 fof(f390,plain,(
% 2.12/0.67 spl0_20 <=> setIn(sk0_4,alive)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f392,plain,(
% 2.12/0.67 ~setIn(sk0_4,alive)|spl0_20),
% 2.12/0.67 inference(component_clause,[status(thm)],[f390])).
% 2.12/0.67 fof(f393,plain,(
% 2.12/0.67 spl0_21 <=> index(status,host(sk0_4))=elec_2),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f395,plain,(
% 2.12/0.67 ~index(status,host(sk0_4))=elec_2|spl0_21),
% 2.12/0.67 inference(component_clause,[status(thm)],[f393])).
% 2.12/0.67 fof(f396,plain,(
% 2.12/0.67 ![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_17)),
% 2.12/0.67 inference(paramodulation,[status(thm)],[f381,f220])).
% 2.12/0.67 fof(f397,plain,(
% 2.12/0.67 spl0_19|~spl0_20|~spl0_21|~spl0_17),
% 2.12/0.67 inference(split_clause,[status(thm)],[f396,f387,f390,f393,f359])).
% 2.12/0.67 fof(f398,plain,(
% 2.12/0.67 ~elec_2=elec_2|~spl0_17|spl0_21),
% 2.12/0.67 inference(forward_demodulation,[status(thm)],[f382,f395])).
% 2.12/0.67 fof(f399,plain,(
% 2.12/0.67 $false|~spl0_17|spl0_21),
% 2.12/0.67 inference(trivial_equality_resolution,[status(esa)],[f398])).
% 2.12/0.67 fof(f400,plain,(
% 2.12/0.67 ~spl0_17|spl0_21),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f399])).
% 2.12/0.67 fof(f401,plain,(
% 2.12/0.67 $false|~spl0_17|spl0_20),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f392,f386])).
% 2.12/0.67 fof(f402,plain,(
% 2.12/0.67 ~spl0_17|spl0_20),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f401])).
% 2.12/0.67 fof(f403,plain,(
% 2.12/0.67 spl0_22 <=> ~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(sk0_4)=host(X1)|leq(host(sk0_6),host(X0))),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f404,plain,(
% 2.12/0.67 ![X0,X1]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(sk0_4)=host(X1)|leq(host(sk0_6),host(X0))|~spl0_22)),
% 2.12/0.67 inference(component_clause,[status(thm)],[f403])).
% 2.12/0.67 fof(f406,plain,(
% 2.12/0.67 ![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_17)),
% 2.12/0.67 inference(paramodulation,[status(thm)],[f381,f222])).
% 2.12/0.67 fof(f407,plain,(
% 2.12/0.67 spl0_22|~spl0_20|~spl0_21|~spl0_17),
% 2.12/0.67 inference(split_clause,[status(thm)],[f406,f403,f390,f393,f359])).
% 2.12/0.67 fof(f408,plain,(
% 2.12/0.67 ~leq(host(sk0_13),host(sk0_12))),
% 2.12/0.67 inference(paramodulation,[status(thm)],[f253,f191])).
% 2.12/0.67 fof(f454,plain,(
% 2.12/0.67 spl0_28 <=> setIn(sk0_12,alive)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f456,plain,(
% 2.12/0.67 ~setIn(sk0_12,alive)|spl0_28),
% 2.12/0.67 inference(component_clause,[status(thm)],[f454])).
% 2.12/0.67 fof(f457,plain,(
% 2.12/0.67 spl0_29 <=> leq(host(sk0_6),host(sk0_12))),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f458,plain,(
% 2.12/0.67 leq(host(sk0_6),host(sk0_12))|~spl0_29),
% 2.12/0.67 inference(component_clause,[status(thm)],[f457])).
% 2.12/0.67 fof(f460,plain,(
% 2.12/0.67 spl0_30 <=> leq(host(sk0_12),host(sk0_4))),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f461,plain,(
% 2.12/0.67 leq(host(sk0_12),host(sk0_4))|~spl0_30),
% 2.12/0.67 inference(component_clause,[status(thm)],[f460])).
% 2.12/0.67 fof(f463,plain,(
% 2.12/0.67 spl0_31 <=> leq(s(zero),host(sk0_4))),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f465,plain,(
% 2.12/0.67 ~leq(s(zero),host(sk0_4))|spl0_31),
% 2.12/0.67 inference(component_clause,[status(thm)],[f463])).
% 2.12/0.67 fof(f466,plain,(
% 2.12/0.67 spl0_32 <=> host(sk0_4)=host(sk0_14)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f469,plain,(
% 2.12/0.67 ~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_19),
% 2.12/0.67 inference(resolution,[status(thm)],[f388,f248])).
% 2.12/0.67 fof(f470,plain,(
% 2.12/0.67 ~spl0_28|spl0_29|spl0_30|~spl0_31|spl0_32|~spl0_19),
% 2.12/0.67 inference(split_clause,[status(thm)],[f469,f454,f457,f460,f463,f466,f387])).
% 2.12/0.67 fof(f471,plain,(
% 2.12/0.67 $false|spl0_31),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f465,f74])).
% 2.12/0.67 fof(f472,plain,(
% 2.12/0.67 spl0_31),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f471])).
% 2.12/0.67 fof(f473,plain,(
% 2.12/0.67 $false|spl0_28),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f456,f249])).
% 2.12/0.67 fof(f474,plain,(
% 2.12/0.67 spl0_28),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f473])).
% 2.12/0.67 fof(f536,plain,(
% 2.12/0.67 spl0_45 <=> host(sk0_13)=host(sk0_4)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f538,plain,(
% 2.12/0.67 ~host(sk0_13)=host(sk0_4)|spl0_45),
% 2.12/0.67 inference(component_clause,[status(thm)],[f536])).
% 2.12/0.67 fof(f582,plain,(
% 2.12/0.67 ~setIn(sk0_12,alive)|~host(sk0_4)=host(sk0_13)|leq(host(sk0_6),host(sk0_12))|~spl0_22),
% 2.12/0.67 inference(resolution,[status(thm)],[f404,f251])).
% 2.12/0.67 fof(f583,plain,(
% 2.12/0.67 ~spl0_28|~spl0_45|spl0_29|~spl0_22),
% 2.12/0.67 inference(split_clause,[status(thm)],[f582,f454,f536,f457,f403])).
% 2.12/0.67 fof(f683,plain,(
% 2.12/0.67 spl0_67 <=> leq(host(sk0_6),nbr_proc)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f685,plain,(
% 2.12/0.67 ~leq(host(sk0_6),nbr_proc)|spl0_67),
% 2.12/0.67 inference(component_clause,[status(thm)],[f683])).
% 2.12/0.67 fof(f686,plain,(
% 2.12/0.67 spl0_68 <=> host(sk0_6)=nbr_proc),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f687,plain,(
% 2.12/0.67 host(sk0_6)=nbr_proc|~spl0_68),
% 2.12/0.67 inference(component_clause,[status(thm)],[f686])).
% 2.12/0.67 fof(f689,plain,(
% 2.12/0.67 ~leq(host(sk0_6),nbr_proc)|host(sk0_6)=nbr_proc),
% 2.12/0.67 inference(resolution,[status(thm)],[f196,f322])).
% 2.12/0.67 fof(f690,plain,(
% 2.12/0.67 ~spl0_67|spl0_68),
% 2.12/0.67 inference(split_clause,[status(thm)],[f689,f683,f686])).
% 2.12/0.67 fof(f691,plain,(
% 2.12/0.67 spl0_69 <=> leq(host(sk0_13),nbr_proc)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f693,plain,(
% 2.12/0.67 ~leq(host(sk0_13),nbr_proc)|spl0_69),
% 2.12/0.67 inference(component_clause,[status(thm)],[f691])).
% 2.12/0.67 fof(f694,plain,(
% 2.12/0.67 spl0_70 <=> host(sk0_13)=nbr_proc),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f695,plain,(
% 2.12/0.67 host(sk0_13)=nbr_proc|~spl0_70),
% 2.12/0.67 inference(component_clause,[status(thm)],[f694])).
% 2.12/0.67 fof(f697,plain,(
% 2.12/0.67 ~leq(host(sk0_13),nbr_proc)|host(sk0_13)=nbr_proc),
% 2.12/0.67 inference(resolution,[status(thm)],[f196,f319])).
% 2.12/0.67 fof(f698,plain,(
% 2.12/0.67 ~spl0_69|spl0_70),
% 2.12/0.67 inference(split_clause,[status(thm)],[f697,f691,f694])).
% 2.12/0.67 fof(f710,plain,(
% 2.12/0.67 $false|spl0_69),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f693,f76])).
% 2.12/0.67 fof(f711,plain,(
% 2.12/0.67 spl0_69),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f710])).
% 2.12/0.67 fof(f712,plain,(
% 2.12/0.67 $false|spl0_67),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f685,f76])).
% 2.12/0.67 fof(f713,plain,(
% 2.12/0.67 spl0_67),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f712])).
% 2.12/0.67 fof(f858,plain,(
% 2.12/0.67 ~leq(nbr_proc,host(sk0_12))|~spl0_70),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f695,f408])).
% 2.12/0.67 fof(f862,plain,(
% 2.12/0.67 nbr_proc=s(host(sk0_12))|~spl0_70),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f695,f253])).
% 2.12/0.67 fof(f933,plain,(
% 2.12/0.67 spl0_97 <=> host(sk0_4)=nbr_proc),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f934,plain,(
% 2.12/0.67 host(sk0_4)=nbr_proc|~spl0_97),
% 2.12/0.67 inference(component_clause,[status(thm)],[f933])).
% 2.12/0.67 fof(f1001,plain,(
% 2.12/0.67 leq(nbr_proc,host(sk0_12))|~spl0_68|~spl0_29),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f687,f458])).
% 2.12/0.67 fof(f1002,plain,(
% 2.12/0.67 ![X0,X1]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(sk0_4)=host(X1)|leq(nbr_proc,host(X0))|~spl0_68|~spl0_22)),
% 2.12/0.67 inference(backward_demodulation,[status(thm)],[f687,f404])).
% 2.12/0.67 fof(f1185,plain,(
% 2.12/0.67 $false|~spl0_70|~spl0_68|~spl0_29),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1001,f858])).
% 2.12/0.67 fof(f1186,plain,(
% 2.12/0.67 ~spl0_70|~spl0_68|~spl0_29),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f1185])).
% 2.12/0.67 fof(f1187,plain,(
% 2.12/0.67 ~nbr_proc=host(sk0_4)|~spl0_70|spl0_45),
% 2.12/0.67 inference(forward_demodulation,[status(thm)],[f695,f538])).
% 2.12/0.67 fof(f1275,plain,(
% 2.12/0.67 ![X0]: (~leq(nbr_proc,X0)|~leq(X0,host(sk0_12))|~spl0_70)),
% 2.12/0.67 inference(resolution,[status(thm)],[f201,f858])).
% 2.12/0.67 fof(f1303,plain,(
% 2.12/0.67 ![X0,X1]: (leq(X0,X1)|~leq(s(X0),X1))),
% 2.12/0.67 inference(resolution,[status(thm)],[f205,f210])).
% 2.12/0.67 fof(f1396,plain,(
% 2.12/0.67 ![X0]: (leq(host(sk0_12),X0)|~leq(nbr_proc,X0)|~spl0_70)),
% 2.12/0.67 inference(paramodulation,[status(thm)],[f862,f1303])).
% 2.12/0.67 fof(f1439,plain,(
% 2.12/0.67 spl0_153 <=> leq(host(sk0_4),host(sk0_12))),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f1441,plain,(
% 2.12/0.67 ~leq(host(sk0_4),host(sk0_12))|spl0_153),
% 2.12/0.67 inference(component_clause,[status(thm)],[f1439])).
% 2.12/0.67 fof(f1442,plain,(
% 2.12/0.67 spl0_154 <=> host(sk0_4)=host(sk0_12)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f1443,plain,(
% 2.12/0.67 host(sk0_4)=host(sk0_12)|~spl0_154),
% 2.12/0.67 inference(component_clause,[status(thm)],[f1442])).
% 2.12/0.67 fof(f1445,plain,(
% 2.12/0.67 ~leq(host(sk0_4),host(sk0_12))|host(sk0_4)=host(sk0_12)|~spl0_30),
% 2.12/0.67 inference(resolution,[status(thm)],[f461,f196])).
% 2.12/0.67 fof(f1446,plain,(
% 2.12/0.67 ~spl0_153|spl0_154|~spl0_30),
% 2.12/0.67 inference(split_clause,[status(thm)],[f1445,f1439,f1442,f460])).
% 2.12/0.67 fof(f1639,plain,(
% 2.12/0.67 ![X0]: (~leq(X0,nbr_proc)|X0=s(host(sk0_12))|leq(X0,host(sk0_12))|~spl0_70)),
% 2.12/0.67 inference(paramodulation,[status(thm)],[f862,f208])).
% 2.12/0.67 fof(f1640,plain,(
% 2.12/0.67 ![X0]: (~leq(X0,nbr_proc)|X0=nbr_proc|leq(X0,host(sk0_12))|~spl0_70)),
% 2.12/0.67 inference(forward_demodulation,[status(thm)],[f862,f1639])).
% 2.12/0.67 fof(f2367,plain,(
% 2.12/0.67 spl0_209 <=> leq(nbr_proc,host(sk0_12))),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f2372,plain,(
% 2.12/0.67 ~setIn(sk0_12,alive)|~host(sk0_4)=host(sk0_14)|leq(nbr_proc,host(sk0_12))|~spl0_68|~spl0_22),
% 2.12/0.67 inference(resolution,[status(thm)],[f1002,f252])).
% 2.12/0.67 fof(f2373,plain,(
% 2.12/0.67 ~spl0_28|~spl0_32|spl0_209|~spl0_68|~spl0_22),
% 2.12/0.67 inference(split_clause,[status(thm)],[f2372,f454,f466,f2367,f686,f403])).
% 2.12/0.67 fof(f2435,plain,(
% 2.12/0.67 ~leq(nbr_proc,host(sk0_12))|~leq(nbr_proc,host(sk0_12))|~spl0_70),
% 2.12/0.67 inference(resolution,[status(thm)],[f1396,f1275])).
% 2.12/0.67 fof(f2436,plain,(
% 2.12/0.67 ~spl0_209|~spl0_70),
% 2.12/0.67 inference(split_clause,[status(thm)],[f2435,f2367,f694])).
% 2.12/0.67 fof(f3847,plain,(
% 2.12/0.67 spl0_257 <=> leq(host(sk0_4),nbr_proc)),
% 2.12/0.67 introduced(split_symbol_definition)).
% 2.12/0.67 fof(f3849,plain,(
% 2.12/0.67 ~leq(host(sk0_4),nbr_proc)|spl0_257),
% 2.12/0.67 inference(component_clause,[status(thm)],[f3847])).
% 2.12/0.67 fof(f3850,plain,(
% 2.12/0.67 ~leq(host(sk0_4),nbr_proc)|host(sk0_4)=nbr_proc|~spl0_70|spl0_153),
% 2.12/0.67 inference(resolution,[status(thm)],[f1640,f1441])).
% 2.12/0.67 fof(f3851,plain,(
% 2.12/0.67 ~spl0_257|spl0_97|~spl0_70|spl0_153),
% 2.12/0.67 inference(split_clause,[status(thm)],[f3850,f3847,f933,f694,f1439])).
% 2.12/0.67 fof(f3931,plain,(
% 2.12/0.67 $false|spl0_257),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f3849,f76])).
% 2.12/0.67 fof(f3932,plain,(
% 2.12/0.67 spl0_257),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f3931])).
% 2.12/0.67 fof(f3939,plain,(
% 2.12/0.67 $false|~spl0_17|~spl0_154),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1443,f384])).
% 2.12/0.67 fof(f3940,plain,(
% 2.12/0.67 ~spl0_17|~spl0_154),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f3939])).
% 2.12/0.67 fof(f3942,plain,(
% 2.12/0.67 $false|~spl0_70|spl0_45|~spl0_97),
% 2.12/0.67 inference(forward_subsumption_resolution,[status(thm)],[f934,f1187])).
% 2.12/0.67 fof(f3943,plain,(
% 2.12/0.67 ~spl0_70|spl0_45|~spl0_97),
% 2.12/0.67 inference(contradiction_clause,[status(thm)],[f3942])).
% 2.12/0.67 fof(f3944,plain,(
% 2.12/0.67 $false),
% 2.12/0.67 inference(sat_refutation,[status(thm)],[f343,f369,f372,f397,f400,f402,f407,f470,f472,f474,f583,f690,f698,f711,f713,f1186,f1446,f2373,f2436,f3851,f3932,f3940,f3943])).
% 2.12/0.67 % SZS output end CNFRefutation for theBenchmark.p
% 2.12/0.68 % Elapsed time: 0.334996 seconds
% 2.12/0.68 % CPU time: 2.526208 seconds
% 2.12/0.68 % Total memory used: 97.066 MB
% 2.12/0.68 % Net memory used: 94.390 MB
%------------------------------------------------------------------------------