%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV478+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:50:55 PM UTC 2026
% Result : Theorem 68.15s 9.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV478+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 08:57:37 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 68.15/9.21 % Refutation found
% 68.15/9.21 % SZS status Theorem for theBenchmark: Theorem is valid
% 68.15/9.21 % SZS output start CNFRefutation for theBenchmark
% 68.15/9.21 fof(f3,axiom,(
% 68.15/9.21 (! [P] : leq(s(zero),host(P)) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f5,axiom,(
% 68.15/9.21 (! [P] : leq(host(P),nbr_proc) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f19,axiom,(
% 68.15/9.21 (! [X,Y] : m_Down(X) != m_Ldr(Y) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f47,axiom,(
% 68.15/9.21 (! [X,Y,Q] :( elem(X,cons(Y,Q))<=> ( X = Y| elem(X,Q) ) ) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f48,axiom,(
% 68.15/9.21 (! [X,Y,Q] :( elem(X,snoc(Q,Y))<=> ( X = Y| elem(X,Q) ) ) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f59,axiom,(
% 68.15/9.21 (! [X] : ~ leq(s(X),X) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f62,axiom,(
% 68.15/9.21 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )<=> X = Y ) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f63,axiom,(
% 68.15/9.21 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f65,axiom,(
% 68.15/9.21 (! [X,Y] :( leq(X,s(Y))<=> ( X = s(Y)| leq(X,Y) ) ) )),
% 68.15/9.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.21 fof(f67,conjecture,(
% 68.15/9.21 (! [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_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)=> ( ( (! [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),snoc(queue(host(Y0)),m_Ldr(X)))& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))& host(W0) = s(host(Y0))& index(status,host(Y0)) = elec_1 )=> ~ ( setIn(V0,alive)& host(X) = host(V0) ) ) ) ) )) )) )) ) ) ) ) )),
% 68.15/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.15/9.22 fof(f68,negated_conjecture,(
% 68.15/9.22 ~((! [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_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)=> ( ( (! [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),snoc(queue(host(Y0)),m_Ldr(X)))& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))& host(W0) = s(host(Y0))& index(status,host(Y0)) = elec_1 )=> ~ ( setIn(V0,alive)& host(X) = host(V0) ) ) ) ) )) )) )) ) ) ) ) ))),
% 68.15/9.22 inference(negated_conjecture,[status(cth)],[f67])).
% 68.15/9.22 fof(f74,plain,(
% 68.15/9.22 ![X0]: (leq(s(zero),host(X0)))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f3])).
% 68.15/9.22 fof(f76,plain,(
% 68.15/9.22 ![X0]: (leq(host(X0),nbr_proc))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f5])).
% 68.15/9.22 fof(f90,plain,(
% 68.15/9.22 ![X0,X1]: (~m_Down(X0)=m_Ldr(X1))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f19])).
% 68.15/9.22 fof(f138,plain,(
% 68.15/9.22 ![X,Y,Q]: ((~elem(X,cons(Y,Q))|(X=Y|elem(X,Q)))&(elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 68.15/9.22 inference(NNF_transformation,[status(thm)],[f47])).
% 68.15/9.22 fof(f139,plain,(
% 68.15/9.22 (![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))))),
% 68.15/9.22 inference(miniscoping,[status(thm)],[f138])).
% 68.15/9.22 fof(f141,plain,(
% 68.15/9.22 ![X0,X1,X2]: (elem(X0,cons(X1,X2))|~X0=X1)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f139])).
% 68.15/9.22 fof(f143,plain,(
% 68.15/9.22 ![X,Y,Q]: ((~elem(X,snoc(Q,Y))|(X=Y|elem(X,Q)))&(elem(X,snoc(Q,Y))|(~X=Y&~elem(X,Q))))),
% 68.15/9.22 inference(NNF_transformation,[status(thm)],[f48])).
% 68.15/9.22 fof(f144,plain,(
% 68.15/9.22 (![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))))),
% 68.15/9.22 inference(miniscoping,[status(thm)],[f143])).
% 68.15/9.22 fof(f145,plain,(
% 68.15/9.22 ![X0,X1,X2]: (~elem(X0,snoc(X1,X2))|X0=X2|elem(X0,X1))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f144])).
% 68.15/9.22 fof(f191,plain,(
% 68.15/9.22 ![X0]: (~leq(s(X0),X0))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f59])).
% 68.15/9.22 fof(f194,plain,(
% 68.15/9.22 ![X,Y]: (((~leq(X,Y)|~leq(Y,X))|X=Y)&((leq(X,Y)&leq(Y,X))|~X=Y))),
% 68.15/9.22 inference(NNF_transformation,[status(thm)],[f62])).
% 68.15/9.22 fof(f195,plain,(
% 68.15/9.22 (![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y))&(![X,Y]: ((leq(X,Y)&leq(Y,X))|~X=Y))),
% 68.15/9.22 inference(miniscoping,[status(thm)],[f194])).
% 68.15/9.22 fof(f196,plain,(
% 68.15/9.22 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f195])).
% 68.15/9.22 fof(f199,plain,(
% 68.15/9.22 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 68.15/9.22 inference(pre_NNF_transformation,[status(thm)],[f63])).
% 68.15/9.22 fof(f200,plain,(
% 68.15/9.22 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 68.15/9.22 inference(miniscoping,[status(thm)],[f199])).
% 68.15/9.22 fof(f201,plain,(
% 68.15/9.22 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f200])).
% 68.15/9.22 fof(f206,plain,(
% 68.15/9.22 ![X,Y]: ((~leq(X,s(Y))|(X=s(Y)|leq(X,Y)))&(leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 68.15/9.22 inference(NNF_transformation,[status(thm)],[f65])).
% 68.15/9.22 fof(f207,plain,(
% 68.15/9.22 (![X,Y]: (~leq(X,s(Y))|(X=s(Y)|leq(X,Y))))&(![X,Y]: (leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 68.15/9.22 inference(miniscoping,[status(thm)],[f206])).
% 68.15/9.22 fof(f208,plain,(
% 68.15/9.22 ![X0,X1]: (~leq(X0,s(X1))|X0=s(X1)|leq(X0,X1))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f207])).
% 68.15/9.22 fof(f212,plain,(
% 68.15/9.22 (?[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_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)&((((((((![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),snoc(queue(host(Y0)),m_Ldr(X))))&elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X))))&host(W0)=s(host(Y0)))&index(status,host(Y0))=elec_1)&(setIn(V0,alive)&host(X)=host(V0))))))))))))))))),
% 68.15/9.22 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 68.15/9.22 fof(f213,plain,(
% 68.15/9.22 ?[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_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)&(((?[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),snoc(queue(host(Y0)),m_Ldr(X))))&elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))))&host(W0)=s(host(Y0))))&index(status,host(Y0))=elec_1)&(setIn(V0,alive)&host(X)=host(V0)))))))))))))))),
% 68.15/9.22 inference(miniscoping,[status(thm)],[f212])).
% 68.15/9.22 fof(f214,plain,(
% 68.15/9.22 ((((((((((((((((((![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),sK6_skl(Pid20,Pid0,Pid30,Z))&leq(s(zero),sK6_skl(Pid20,Pid0,Pid30,Z)))&(~setIn(sK6_skl(Pid20,Pid0,Pid30,Z),index(down,host(Pid0)))&~sK6_skl(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),sK7_skl(Pid20,Pid30,Pid0))&leq(s(zero),sK7_skl(Pid20,Pid30,Pid0)))&(~setIn(sK7_skl(Pid20,Pid30,Pid0),index(down,host(Pid0)))&~sK7_skl(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(sK4_skl))=cons(m_Down(sK5_skl),sK8_skl))&(setIn(sK4_skl,alive)&(leq(host(sK4_skl),host(sK5_skl))&((index(status,host(sK4_skl))=elec_2&host(sK5_skl)=index(pendack,host(sK4_skl)))&(leq(nbr_proc,index(pendack,host(sK4_skl)))&(setIn(host(sK9_skl),index(acks,host(sK4_skl)))&(host(sK4_skl)=host(sK10_skl)&(host(sK9_skl)=host(sK11_skl)&(~host(sK4_skl)=host(sK11_skl)&((((((((![V1]: ((leq(host(sK11_skl),V1)|~leq(s(zero),V1))|(setIn(V1,index(down,host(sK11_skl)))|V1=host(sK13_skl))))&setIn(sK11_skl,alive))&leq(nbr_proc,s(host(sK11_skl))))&elem(m_Down(sK12_skl),snoc(queue(host(sK11_skl)),m_Ldr(sK4_skl))))&elem(m_Down(sK13_skl),snoc(queue(host(sK11_skl)),m_Ldr(sK4_skl))))&host(sK12_skl)=s(host(sK11_skl)))&index(status,host(sK11_skl))=elec_1)&(setIn(sK10_skl,alive)&host(sK4_skl)=host(sK10_skl))))))))))))),
% 68.15/9.22 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(X,sK4_skl),skolemize(Y,sK5_skl),skolemize(V0,sK6_skl(Pid20,Pid0,Pid30,Z)),skolemize(V0,sK7_skl(Pid20,Pid30,Pid0)),skolemize(V,sK8_skl),skolemize(Z,sK9_skl),skolemize(V0,sK10_skl),skolemize(Y0,sK11_skl),skolemize(W0,sK12_skl),skolemize(X0,sK13_skl)],[f213])).
% 68.15/9.22 fof(f216,plain,(
% 68.15/9.22 ![X0,X1]: (~elem(m_Down(X0),queue(host(X1)))|~host(X0)=host(X1))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f220,plain,(
% 68.15/9.22 ![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)))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f222,plain,(
% 68.15/9.22 ![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)))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f238,plain,(
% 68.15/9.22 queue(host(sK4_skl))=cons(m_Down(sK5_skl),sK8_skl)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f239,plain,(
% 68.15/9.22 setIn(sK4_skl,alive)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f241,plain,(
% 68.15/9.22 index(status,host(sK4_skl))=elec_2),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f242,plain,(
% 68.15/9.22 host(sK5_skl)=index(pendack,host(sK4_skl))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f243,plain,(
% 68.15/9.22 leq(nbr_proc,index(pendack,host(sK4_skl)))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f245,plain,(
% 68.15/9.22 host(sK4_skl)=host(sK10_skl)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f246,plain,(
% 68.15/9.22 host(sK9_skl)=host(sK11_skl)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f247,plain,(
% 68.15/9.22 ~host(sK4_skl)=host(sK11_skl)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f248,plain,(
% 68.15/9.22 ![X0]: (leq(host(sK11_skl),X0)|~leq(s(zero),X0)|setIn(X0,index(down,host(sK11_skl)))|X0=host(sK13_skl))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f249,plain,(
% 68.15/9.22 setIn(sK11_skl,alive)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f250,plain,(
% 68.15/9.22 leq(nbr_proc,s(host(sK11_skl)))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f252,plain,(
% 68.15/9.22 elem(m_Down(sK13_skl),snoc(queue(host(sK11_skl)),m_Ldr(sK4_skl)))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f253,plain,(
% 68.15/9.22 host(sK12_skl)=s(host(sK11_skl))),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f255,plain,(
% 68.15/9.22 setIn(sK10_skl,alive)),
% 68.15/9.22 inference(cnf_transformation,[status(thm)],[f214])).
% 68.15/9.22 fof(f257,plain,(
% 68.15/9.22 ![X0,X1]: (elem(X0,cons(X0,X1)))),
% 68.15/9.22 inference(destructive_equality_resolution,[status(thm)],[f141])).
% 68.15/9.22 fof(f276,plain,(
% 68.15/9.22 ![X0]: (~setIn(X0,alive)|~setIn(sK10_skl,alive)|~setIn(host(sK10_skl),index(down,host(X0)))|~index(status,host(sK10_skl))=elec_2|leq(index(pendack,host(sK4_skl)),host(X0)))),
% 68.15/9.22 inference(paramodulation,[status(thm)],[f245,f220])).
% 68.15/9.22 fof(f289,plain,(
% 68.15/9.22 ![X0]: (~setIn(X0,alive)|~setIn(sK10_skl,alive)|~setIn(host(sK4_skl),index(down,host(X0)))|~index(status,host(sK10_skl))=elec_2|leq(index(pendack,host(sK4_skl)),host(X0)))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f245,f276])).
% 68.15/9.22 fof(f290,plain,(
% 68.15/9.22 ![X0]: (~setIn(X0,alive)|~setIn(sK10_skl,alive)|~setIn(host(sK4_skl),index(down,host(X0)))|~index(status,host(sK4_skl))=elec_2|leq(index(pendack,host(sK4_skl)),host(X0)))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f245,f289])).
% 68.15/9.22 fof(f291,plain,(
% 68.15/9.22 ![X0]: (~setIn(X0,alive)|~setIn(host(sK4_skl),index(down,host(X0)))|~index(status,host(sK4_skl))=elec_2|leq(index(pendack,host(sK4_skl)),host(X0)))),
% 68.15/9.22 inference(forward_subsumption_resolution,[status(thm)],[f290,f255])).
% 68.15/9.22 fof(f343,plain,(
% 68.15/9.22 ![X0,X1]: (~setIn(sK11_skl,alive)|~setIn(X0,alive)|~elem(m_Down(X1),queue(host(sK9_skl)))|~host(X0)=host(X1)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sK11_skl)))),
% 68.15/9.22 inference(paramodulation,[status(thm)],[f246,f222])).
% 68.15/9.22 fof(f358,plain,(
% 68.15/9.22 ![X0,X1]: (~setIn(sK11_skl,alive)|~setIn(X0,alive)|~elem(m_Down(X1),queue(host(sK9_skl)))|~host(X0)=host(X1)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sK9_skl)))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f246,f343])).
% 68.15/9.22 fof(f359,plain,(
% 68.15/9.22 ![X0,X1]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(sK9_skl)))|~host(X0)=host(X1)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sK9_skl)))),
% 68.15/9.22 inference(forward_subsumption_resolution,[status(thm)],[f358,f249])).
% 68.15/9.22 fof(f418,plain,(
% 68.15/9.22 ~host(sK4_skl)=host(sK9_skl)),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f246,f247])).
% 68.15/9.22 fof(f439,plain,(
% 68.15/9.22 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|~leq(X2,X0)|X2=X0)),
% 68.15/9.22 inference(resolution,[status(thm)],[f201,f196])).
% 68.15/9.22 fof(f582,plain,(
% 68.15/9.22 leq(nbr_proc,s(host(sK9_skl)))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f246,f250])).
% 68.15/9.22 fof(f585,plain,(
% 68.15/9.22 leq(nbr_proc,host(sK12_skl))),
% 68.15/9.22 inference(backward_demodulation,[status(thm)],[f586,f582])).
% 68.15/9.22 fof(f586,plain,(
% 68.15/9.22 host(sK12_skl)=s(host(sK9_skl))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f246,f253])).
% 68.15/9.22 fof(f591,plain,(
% 68.15/9.22 ![X0]: (~leq(X0,host(sK12_skl))|X0=s(host(sK9_skl))|leq(X0,host(sK9_skl)))),
% 68.15/9.22 inference(paramodulation,[status(thm)],[f586,f208])).
% 68.15/9.22 fof(f599,plain,(
% 68.15/9.22 ![X0]: (~leq(X0,host(sK12_skl))|X0=host(sK12_skl)|leq(X0,host(sK9_skl)))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f586,f591])).
% 68.15/9.22 fof(f638,plain,(
% 68.15/9.22 elem(m_Down(sK5_skl),queue(host(sK4_skl)))),
% 68.15/9.22 inference(paramodulation,[status(thm)],[f238,f257])).
% 68.15/9.22 fof(f646,plain,(
% 68.15/9.22 ~leq(host(sK12_skl),nbr_proc)|host(sK12_skl)=nbr_proc),
% 68.15/9.22 inference(resolution,[status(thm)],[f585,f196])).
% 68.15/9.22 fof(f647,plain,(
% 68.15/9.22 host(sK12_skl)=nbr_proc),
% 68.15/9.22 inference(forward_subsumption_resolution,[status(thm)],[f646,f76])).
% 68.15/9.22 fof(f649,plain,(
% 68.15/9.22 nbr_proc=s(host(sK9_skl))),
% 68.15/9.22 inference(backward_demodulation,[status(thm)],[f647,f586])).
% 68.15/9.22 fof(f723,plain,(
% 68.15/9.22 leq(nbr_proc,host(sK5_skl))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f242,f243])).
% 68.15/9.22 fof(f724,plain,(
% 68.15/9.22 ~leq(host(sK5_skl),nbr_proc)|host(sK5_skl)=nbr_proc),
% 68.15/9.22 inference(resolution,[status(thm)],[f723,f196])).
% 68.15/9.22 fof(f725,plain,(
% 68.15/9.22 host(sK5_skl)=nbr_proc),
% 68.15/9.22 inference(forward_subsumption_resolution,[status(thm)],[f724,f76])).
% 68.15/9.22 fof(f726,plain,(
% 68.15/9.22 ![X0]: (leq(host(sK9_skl),X0)|~leq(s(zero),X0)|setIn(X0,index(down,host(sK11_skl)))|X0=host(sK13_skl))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f246,f248])).
% 68.15/9.22 fof(f727,plain,(
% 68.15/9.22 ![X0]: (leq(host(sK9_skl),X0)|~leq(s(zero),X0)|setIn(X0,index(down,host(sK9_skl)))|X0=host(sK13_skl))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f246,f726])).
% 68.15/9.22 fof(f733,plain,(
% 68.15/9.22 elem(m_Down(sK13_skl),snoc(queue(host(sK9_skl)),m_Ldr(sK4_skl)))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f246,f252])).
% 68.15/9.22 fof(f734,plain,(
% 68.15/9.22 m_Down(sK13_skl)=m_Ldr(sK4_skl)|elem(m_Down(sK13_skl),queue(host(sK9_skl)))),
% 68.15/9.22 inference(resolution,[status(thm)],[f733,f145])).
% 68.15/9.22 fof(f735,plain,(
% 68.15/9.22 elem(m_Down(sK13_skl),queue(host(sK9_skl)))),
% 68.15/9.22 inference(forward_subsumption_resolution,[status(thm)],[f734,f90])).
% 68.15/9.22 fof(f742,plain,(
% 68.15/9.22 nbr_proc=index(pendack,host(sK4_skl))),
% 68.15/9.22 inference(backward_demodulation,[status(thm)],[f725,f242])).
% 68.15/9.22 fof(f826,plain,(
% 68.15/9.22 ~leq(nbr_proc,host(sK9_skl))),
% 68.15/9.22 inference(paramodulation,[status(thm)],[f649,f191])).
% 68.15/9.22 fof(f870,plain,(
% 68.15/9.22 ![X0]: (~setIn(X0,alive)|~setIn(host(sK4_skl),index(down,host(X0)))|~elec_2=elec_2|leq(index(pendack,host(sK4_skl)),host(X0)))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f241,f291])).
% 68.15/9.22 fof(f871,plain,(
% 68.15/9.22 ![X0]: (~setIn(X0,alive)|~setIn(host(sK4_skl),index(down,host(X0)))|~elec_2=elec_2|leq(nbr_proc,host(X0)))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f742,f870])).
% 68.15/9.22 fof(f872,plain,(
% 68.15/9.22 ![X0]: (~setIn(X0,alive)|~setIn(host(sK4_skl),index(down,host(X0)))|leq(nbr_proc,host(X0)))),
% 68.15/9.22 inference(trivial_equality_resolution,[status(thm)],[f871])).
% 68.15/9.22 fof(f873,plain,(
% 68.15/9.22 ~setIn(host(sK4_skl),index(down,host(sK11_skl)))|leq(nbr_proc,host(sK11_skl))),
% 68.15/9.22 inference(resolution,[status(thm)],[f872,f249])).
% 68.15/9.22 fof(f875,plain,(
% 68.15/9.22 ~setIn(host(sK4_skl),index(down,host(sK9_skl)))|leq(nbr_proc,host(sK11_skl))),
% 68.15/9.22 inference(forward_demodulation,[status(thm)],[f246,f873])).
% 66.83/9.26 fof(f876,plain,(
% 66.83/9.26 ~setIn(host(sK4_skl),index(down,host(sK9_skl)))|leq(nbr_proc,host(sK9_skl))),
% 66.83/9.26 inference(forward_demodulation,[status(thm)],[f246,f875])).
% 66.83/9.26 fof(f877,plain,(
% 66.83/9.26 ~setIn(host(sK4_skl),index(down,host(sK9_skl)))),
% 66.83/9.26 inference(forward_subsumption_resolution,[status(thm)],[f876,f826])).
% 66.83/9.26 fof(f1287,plain,(
% 66.83/9.26 ![X0,X1,X2,X3]: (~leq(X0,X1)|~leq(X2,X0)|X2=X0|~leq(X1,X3)|~leq(X3,X2))),
% 66.83/9.26 inference(resolution,[status(thm)],[f439,f201])).
% 66.83/9.26 fof(f1753,plain,(
% 66.83/9.26 ![X0]: (~leq(X0,nbr_proc)|X0=host(sK12_skl)|leq(X0,host(sK9_skl)))),
% 66.83/9.26 inference(forward_demodulation,[status(thm)],[f647,f599])).
% 66.83/9.26 fof(f1754,plain,(
% 66.83/9.26 ![X0]: (~leq(X0,nbr_proc)|X0=nbr_proc|leq(X0,host(sK9_skl)))),
% 66.83/9.26 inference(forward_demodulation,[status(thm)],[f647,f1753])).
% 66.83/9.26 fof(f1756,plain,(
% 66.83/9.26 ![X0]: (host(X0)=nbr_proc|leq(host(X0),host(sK9_skl)))),
% 66.83/9.26 inference(resolution,[status(thm)],[f1754,f76])).
% 66.83/9.26 fof(f1941,plain,(
% 66.83/9.26 ~host(sK5_skl)=host(sK4_skl)),
% 66.83/9.26 inference(resolution,[status(thm)],[f638,f216])).
% 66.83/9.26 fof(f1965,plain,(
% 66.83/9.26 ~nbr_proc=host(sK4_skl)),
% 66.83/9.26 inference(forward_demodulation,[status(thm)],[f725,f1941])).
% 66.83/9.26 fof(f2054,plain,(
% 66.83/9.26 ![X0]: (~setIn(X0,alive)|~host(X0)=host(sK13_skl)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sK9_skl)))),
% 66.83/9.26 inference(resolution,[status(thm)],[f735,f359])).
% 66.83/9.26 fof(f2316,plain,(
% 66.83/9.26 leq(host(sK9_skl),host(sK4_skl))|~leq(s(zero),host(sK4_skl))|host(sK4_skl)=host(sK13_skl)),
% 66.83/9.26 inference(resolution,[status(thm)],[f877,f727])).
% 66.83/9.26 fof(f2317,plain,(
% 66.83/9.26 leq(host(sK9_skl),host(sK4_skl))|host(sK4_skl)=host(sK13_skl)),
% 66.83/9.26 inference(forward_subsumption_resolution,[status(thm)],[f2316,f74])).
% 66.83/9.26 fof(f11828,plain,(
% 66.83/9.26 ~host(sK4_skl)=host(sK13_skl)|~index(status,host(sK4_skl))=elec_2|leq(index(pendack,host(sK4_skl)),host(sK9_skl))),
% 66.83/9.26 inference(resolution,[status(thm)],[f2054,f239])).
% 66.83/9.26 fof(f11833,plain,(
% 66.83/9.26 ~host(sK4_skl)=host(sK13_skl)|~elec_2=elec_2|leq(index(pendack,host(sK4_skl)),host(sK9_skl))),
% 66.83/9.26 inference(forward_demodulation,[status(thm)],[f241,f11828])).
% 66.83/9.26 fof(f11834,plain,(
% 66.83/9.26 ~host(sK4_skl)=host(sK13_skl)|~elec_2=elec_2|leq(nbr_proc,host(sK9_skl))),
% 66.83/9.26 inference(forward_demodulation,[status(thm)],[f742,f11833])).
% 66.83/9.26 fof(f11835,plain,(
% 66.83/9.26 ~host(sK4_skl)=host(sK13_skl)|leq(nbr_proc,host(sK9_skl))),
% 66.83/9.26 inference(trivial_equality_resolution,[status(thm)],[f11834])).
% 66.83/9.26 fof(f11836,plain,(
% 66.83/9.26 ~host(sK4_skl)=host(sK13_skl)),
% 66.83/9.26 inference(forward_subsumption_resolution,[status(thm)],[f11835,f826])).
% 66.83/9.26 fof(f13253,plain,(
% 66.83/9.26 leq(host(sK9_skl),host(sK4_skl))),
% 66.83/9.26 inference(forward_subsumption_resolution,[status(thm)],[f2317,f11836])).
% 66.83/9.26 fof(f13271,plain,(
% 66.83/9.26 ~leq(host(sK4_skl),host(sK9_skl))|host(sK9_skl)=host(sK4_skl)|~leq(host(sK4_skl),host(sK9_skl))),
% 66.83/9.26 inference(resolution,[status(thm)],[f13253,f1287])).
% 66.83/9.26 fof(f13279,plain,(
% 66.83/9.26 ~leq(host(sK4_skl),host(sK9_skl))|host(sK9_skl)=host(sK4_skl)),
% 66.83/9.26 inference(duplicate_literals_removal,[status(thm)],[f13271])).
% 66.83/9.26 fof(f13280,plain,(
% 66.83/9.26 ~leq(host(sK4_skl),host(sK9_skl))),
% 66.83/9.26 inference(forward_subsumption_resolution,[status(thm)],[f13279,f418])).
% 66.83/9.26 fof(f13335,plain,(
% 66.83/9.26 host(sK4_skl)=nbr_proc),
% 66.83/9.26 inference(resolution,[status(thm)],[f13280,f1756])).
% 66.83/9.26 fof(f13350,plain,(
% 66.83/9.26 $false),
% 66.83/9.26 inference(forward_subsumption_resolution,[status(thm)],[f13335,f1965])).
% 66.83/9.26 % SZS output end CNFRefutation for theBenchmark.p
% 66.83/9.28 % Elapsed time: 8.830991 seconds
% 66.83/9.28 % CPU time: 69.514607 seconds
% 66.83/9.28 % Total memory used: 340.668 MB
% 66.83/9.28 % Net memory used: 295.949 MB
%------------------------------------------------------------------------------