%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV468+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:50:54 PM UTC 2026
% Result : Theorem 16.96s 2.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV468+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:54:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.41 % Drodi V4.1.1
% 16.96/2.74 % Refutation found
% 16.96/2.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.96/2.74 % SZS output start CNFRefutation for theBenchmark
% 16.96/2.74 fof(f3,axiom,(
% 16.96/2.74 (! [P] : leq(s(zero),host(P)) )),
% 16.96/2.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.96/2.74 fof(f5,axiom,(
% 16.96/2.74 (! [P] : leq(host(P),nbr_proc) )),
% 16.96/2.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.96/2.74 fof(f47,axiom,(
% 16.96/2.74 (! [X,Y,Q] :( elem(X,cons(Y,Q))<=> ( X = Y| elem(X,Q) ) ) )),
% 16.96/2.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.96/2.74 fof(f62,axiom,(
% 16.96/2.74 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )<=> X = Y ) )),
% 16.96/2.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.96/2.74 fof(f67,conjecture,(
% 16.96/2.74 (! [V,W,X,Y] :( ( (! [Z,Pid0] :( elem(m_Ldr(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid0] :( ( Pid0 != Z& host(Pid0) = host(Z) )=> ( ~ setIn(Z,alive)| ~ setIn(Pid0,alive) ) ))& (! [Z,Pid0] :( ( setIn(Pid0,alive)& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Ack(Z,Pid0),queue(host(Z))) ))& (! [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] :( ( ~ leq(host(Pid0),host(Z))& setIn(Z,alive)& setIn(Pid0,alive)& host(Pid0) = host(Pid20)& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Down(Pid20),queue(host(Z))) ))& (! [Z,Pid0] :( ( ~ leq(host(Z),host(Pid0))& setIn(Z,alive)& setIn(Pid0,alive)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> leq(index(pendack,host(Pid0)),host(Z)) ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Ack(Pid0,Pid20),queue(host(Pid0)))& host(Pid20) = host(Z) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid20,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& host(Pid0) = host(Pid20)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Ack(Z,Pid20),queue(host(Z))) ))& (! [Z,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] :( ( ~ leq(index(pendack,host(Pid0)),host(Z))& setIn(Pid0,alive)& index(status,host(Pid0)) = elec_2 )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid0] :( ( ~ leq(host(Z),host(Pid0))& setIn(Z,alive)& setIn(Pid0,alive)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid20) = host(Z)& index(status,host(Pid0)) = elec_2 )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& ~ leq(host(Pid0),host(Z))& elem(m_Down(Pid20),queue(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(ldr,host(X)) = host(Y)& index(status,host(X)) = norm )| ( index(status,host(X)) = wait& host(Y) = host(index(elid,host(X))) ) )=> ( ( (! [Z] :( ( ~ leq(host(X),Z)& leq(s(zero),Z) )=> ( setIn(Z,index(down,host(X)))| Z = host(Y) ) ))& index(status,host(X)) = elec_1 )=> ( leq(nbr_proc,host(X))=> (! [Z] :( ~ setIn(host(Z),setEmpty)=> (! [V0] :( host(X) = host(V0)=> (! [W0] :( host(X) != host(W0)=> ( ( ~ leq(index(pendack,host(W0)),host(V0))& setIn(W0,alive)& index(status,host(W0)) = elec_2 )=> ~ ( setIn(V0,alive)& host(X) = host(V0) ) ) ) )) )) )) ) ) ) ) ) )),
% 16.96/2.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.96/2.74 fof(f68,negated_conjecture,(
% 16.96/2.74 ~((! [V,W,X,Y] :( ( (! [Z,Pid0] :( elem(m_Ldr(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid0] :( ( Pid0 != Z& host(Pid0) = host(Z) )=> ( ~ setIn(Z,alive)| ~ setIn(Pid0,alive) ) ))& (! [Z,Pid0] :( ( setIn(Pid0,alive)& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Ack(Z,Pid0),queue(host(Z))) ))& (! [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] :( ( ~ leq(host(Pid0),host(Z))& setIn(Z,alive)& setIn(Pid0,alive)& host(Pid0) = host(Pid20)& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Down(Pid20),queue(host(Z))) ))& (! [Z,Pid0] :( ( ~ leq(host(Z),host(Pid0))& setIn(Z,alive)& setIn(Pid0,alive)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> leq(index(pendack,host(Pid0)),host(Z)) ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Ack(Pid0,Pid20),queue(host(Pid0)))& host(Pid20) = host(Z) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid20,Pid0] :( ( setIn(Z,alive)& setIn(Pid0,alive)& host(Pid0) = host(Pid20)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Ack(Z,Pid20),queue(host(Z))) ))& (! [Z,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] :( ( ~ leq(index(pendack,host(Pid0)),host(Z))& setIn(Pid0,alive)& index(status,host(Pid0)) = elec_2 )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid0] :( ( ~ leq(host(Z),host(Pid0))& setIn(Z,alive)& setIn(Pid0,alive)& index(status,host(Z)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid20) = host(Z)& index(status,host(Pid0)) = elec_2 )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& ~ leq(host(Pid0),host(Z))& elem(m_Down(Pid20),queue(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(ldr,host(X)) = host(Y)& index(status,host(X)) = norm )| ( index(status,host(X)) = wait& host(Y) = host(index(elid,host(X))) ) )=> ( ( (! [Z] :( ( ~ leq(host(X),Z)& leq(s(zero),Z) )=> ( setIn(Z,index(down,host(X)))| Z = host(Y) ) ))& index(status,host(X)) = elec_1 )=> ( leq(nbr_proc,host(X))=> (! [Z] :( ~ setIn(host(Z),setEmpty)=> (! [V0] :( host(X) = host(V0)=> (! [W0] :( host(X) != host(W0)=> ( ( ~ leq(index(pendack,host(W0)),host(V0))& setIn(W0,alive)& index(status,host(W0)) = elec_2 )=> ~ ( setIn(V0,alive)& host(X) = host(V0) ) ) ) )) )) )) ) ) ) ) ) ))),
% 16.96/2.74 inference(negated_conjecture,[status(cth)],[f67])).
% 16.96/2.74 fof(f74,plain,(
% 16.96/2.74 ![X0]: (leq(s(zero),host(X0)))),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f3])).
% 16.96/2.74 fof(f76,plain,(
% 16.96/2.74 ![X0]: (leq(host(X0),nbr_proc))),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f5])).
% 16.96/2.74 fof(f138,plain,(
% 16.96/2.74 ![X,Y,Q]: ((~elem(X,cons(Y,Q))|(X=Y|elem(X,Q)))&(elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 16.96/2.74 inference(NNF_transformation,[status(thm)],[f47])).
% 16.96/2.74 fof(f139,plain,(
% 16.96/2.74 (![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))))),
% 16.96/2.74 inference(miniscoping,[status(thm)],[f138])).
% 16.96/2.74 fof(f141,plain,(
% 16.96/2.74 ![X0,X1,X2]: (elem(X0,cons(X1,X2))|~X0=X1)),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f139])).
% 16.96/2.74 fof(f194,plain,(
% 16.96/2.74 ![X,Y]: (((~leq(X,Y)|~leq(Y,X))|X=Y)&((leq(X,Y)&leq(Y,X))|~X=Y))),
% 16.96/2.74 inference(NNF_transformation,[status(thm)],[f62])).
% 16.96/2.74 fof(f195,plain,(
% 16.96/2.74 (![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y))&(![X,Y]: ((leq(X,Y)&leq(Y,X))|~X=Y))),
% 16.96/2.74 inference(miniscoping,[status(thm)],[f194])).
% 16.96/2.74 fof(f196,plain,(
% 16.96/2.74 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f195])).
% 16.96/2.74 fof(f212,plain,(
% 16.96/2.74 (?[V,W,X,Y]: ((((((((((((((((((![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Z,Pid0]: ((~setIn(Pid0,alive)|~index(status,host(Pid0))=elec_2)|~elem(m_Ack(Z,Pid0),queue(host(Z))))))&(![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]: (((((leq(host(Pid0),host(Z))|~setIn(Z,alive))|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Pid0))=elec_2)|~elem(m_Down(Pid20),queue(host(Z))))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Z,Pid20,Pid0]: (((~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Pid20),queue(host(Pid0))))|~host(Pid20)=host(Z))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid20,Pid0]: (((((~setIn(Z,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|~elem(m_Ack(Z,Pid20),queue(host(Z))))))&(![Z,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]: (((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|~index(status,host(Pid0))=elec_2)|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|~leq(index(pendack,host(Z)),index(pendack,host(Pid0))))))&(![Z,Pid20,Pid0]: ((((~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0))))|~host(Pid20)=host(Z))|~index(status,host(Pid0))=elec_2)|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid20,Pid0]: (((((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|leq(host(Pid0),host(Z)))|~elem(m_Down(Pid20),queue(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(ldr,host(X))=host(Y)|~index(status,host(X))=norm)&(~index(status,host(X))=wait|~host(Y)=host(index(elid,host(X)))))&(((![Z]: ((leq(host(X),Z)|~leq(s(zero),Z))|(setIn(Z,index(down,host(X)))|Z=host(Y))))&index(status,host(X))=elec_1)&(leq(nbr_proc,host(X))&(?[Z]: (~setIn(host(Z),setEmpty)&(?[V0]: (host(X)=host(V0)&(?[W0]: (~host(X)=host(W0)&(((~leq(index(pendack,host(W0)),host(V0))&setIn(W0,alive))&index(status,host(W0))=elec_2)&(setIn(V0,alive)&host(X)=host(V0))))))))))))))))),
% 16.96/2.74 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 16.96/2.74 fof(f213,plain,(
% 16.96/2.74 ?[X,Y]: ((((((((((((((((((![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Pid0]: ((~setIn(Pid0,alive)|~index(status,host(Pid0))=elec_2)|(![Z]: ~elem(m_Ack(Z,Pid0),queue(host(Z)))))))&(![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,Pid20]: ((![Pid0]: ((((leq(host(Pid0),host(Z))|~setIn(Z,alive))|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Pid0))=elec_2))|~elem(m_Down(Pid20),queue(host(Z))))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Z]: ((![Pid20]: ((![Pid0]: (~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Pid20),queue(host(Pid0)))))|~host(Pid20)=host(Z)))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid20]: ((![Pid0]: ((((~setIn(Z,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2))|~elem(m_Ack(Z,Pid20),queue(host(Z))))))&(![Z,Pid0]: (((![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]: ((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|~index(status,host(Pid0))=elec_2))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|~leq(index(pendack,host(Z)),index(pendack,host(Pid0))))))&(![Z]: ((![Pid0]: ((![Pid20]: ((~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0))))|~host(Pid20)=host(Z)))|~index(status,host(Pid0))=elec_2))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z]: ((![Pid0]: ((![Pid20]: (((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|leq(host(Pid0),host(Z)))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~index(status,host(Pid0))=elec_1))|((~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(ldr,host(X))=host(Y)|~index(status,host(X))=norm)&(~index(status,host(X))=wait|~host(Y)=host(index(elid,host(X)))))&(((![Z]: ((leq(host(X),Z)|~leq(s(zero),Z))|(setIn(Z,index(down,host(X)))|Z=host(Y))))&index(status,host(X))=elec_1)&(leq(nbr_proc,host(X))&((?[Z]: ~setIn(host(Z),setEmpty))&(?[V0]: (host(X)=host(V0)&(?[W0]: (~host(X)=host(W0)&(((~leq(index(pendack,host(W0)),host(V0))&setIn(W0,alive))&index(status,host(W0))=elec_2)&(setIn(V0,alive)&host(X)=host(V0))))))))))))))),
% 16.96/2.74 inference(miniscoping,[status(thm)],[f212])).
% 16.96/2.74 fof(f214,plain,(
% 16.96/2.74 ((((((((((((((((((![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![Pid0]: ((~setIn(Pid0,alive)|~index(status,host(Pid0))=elec_2)|(![Z]: ~elem(m_Ack(Z,Pid0),queue(host(Z)))))))&(![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,Pid20]: ((![Pid0]: ((((leq(host(Pid0),host(Z))|~setIn(Z,alive))|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Pid0))=elec_2))|~elem(m_Down(Pid20),queue(host(Z))))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|leq(index(pendack,host(Pid0)),host(Z)))))&(![Z]: ((![Pid20]: ((![Pid0]: (~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Pid20),queue(host(Pid0)))))|~host(Pid20)=host(Z)))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid20]: ((![Pid0]: ((((~setIn(Z,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Pid20))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2))|~elem(m_Ack(Z,Pid20),queue(host(Z))))))&(![Z,Pid0]: (((![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]: ((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|~index(status,host(Pid0))=elec_2))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,Pid0]: (((((leq(host(Z),host(Pid0))|~setIn(Z,alive))|~setIn(Pid0,alive))|~index(status,host(Z))=elec_2)|~index(status,host(Pid0))=elec_2)|~leq(index(pendack,host(Z)),index(pendack,host(Pid0))))))&(![Z]: ((![Pid0]: ((![Pid20]: ((~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0))))|~host(Pid20)=host(Z)))|~index(status,host(Pid0))=elec_2))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z]: ((![Pid0]: ((![Pid20]: ((((~leq(host(Pid0),sK6_skl(Pid20,Pid0,Z))&leq(s(zero),sK6_skl(Pid20,Pid0,Z)))&(~setIn(sK6_skl(Pid20,Pid0,Z),index(down,host(Pid0)))&~sK6_skl(Pid20,Pid0,Z)=host(Pid20)))|leq(host(Pid0),host(Z)))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~index(status,host(Pid0))=elec_1))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&queue(host(sK4_skl))=cons(m_Down(sK5_skl),sK7_skl))&(setIn(sK4_skl,alive)&(~leq(host(sK4_skl),host(sK5_skl))&(((~index(ldr,host(sK4_skl))=host(sK5_skl)|~index(status,host(sK4_skl))=norm)&(~index(status,host(sK4_skl))=wait|~host(sK5_skl)=host(index(elid,host(sK4_skl)))))&(((![Z]: ((leq(host(sK4_skl),Z)|~leq(s(zero),Z))|(setIn(Z,index(down,host(sK4_skl)))|Z=host(sK5_skl))))&index(status,host(sK4_skl))=elec_1)&(leq(nbr_proc,host(sK4_skl))&(~setIn(host(sK8_skl),setEmpty)&(host(sK4_skl)=host(sK9_skl)&(~host(sK4_skl)=host(sK10_skl)&(((~leq(index(pendack,host(sK10_skl)),host(sK9_skl))&setIn(sK10_skl,alive))&index(status,host(sK10_skl))=elec_2)&(setIn(sK9_skl,alive)&host(sK4_skl)=host(sK9_skl))))))))))))),
% 16.96/2.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl]),skolemize(X,sK4_skl),skolemize(Y,sK5_skl),skolemize(V0,sK6_skl(Pid20,Pid0,Z)),skolemize(V,sK7_skl),skolemize(Z,sK8_skl),skolemize(V0,sK9_skl),skolemize(W0,sK10_skl)],[f213])).
% 16.96/2.74 fof(f220,plain,(
% 16.96/2.74 ![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)))),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f226,plain,(
% 16.96/2.74 ![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)))),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f235,plain,(
% 16.96/2.74 queue(host(sK4_skl))=cons(m_Down(sK5_skl),sK7_skl)),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f240,plain,(
% 16.96/2.74 ![X0]: (leq(host(sK4_skl),X0)|~leq(s(zero),X0)|setIn(X0,index(down,host(sK4_skl)))|X0=host(sK5_skl))),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f242,plain,(
% 16.96/2.74 leq(nbr_proc,host(sK4_skl))),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f244,plain,(
% 16.96/2.74 host(sK4_skl)=host(sK9_skl)),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f245,plain,(
% 16.96/2.74 ~host(sK4_skl)=host(sK10_skl)),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f246,plain,(
% 16.96/2.74 ~leq(index(pendack,host(sK10_skl)),host(sK9_skl))),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f247,plain,(
% 16.96/2.74 setIn(sK10_skl,alive)),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f248,plain,(
% 16.96/2.74 index(status,host(sK10_skl))=elec_2),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f249,plain,(
% 16.96/2.74 setIn(sK9_skl,alive)),
% 16.96/2.74 inference(cnf_transformation,[status(thm)],[f214])).
% 16.96/2.74 fof(f251,plain,(
% 16.96/2.74 ![X0,X1]: (elem(X0,cons(X0,X1)))),
% 16.96/2.74 inference(destructive_equality_resolution,[status(thm)],[f141])).
% 16.96/2.74 fof(f333,plain,(
% 16.96/2.74 ~leq(host(sK4_skl),nbr_proc)|nbr_proc=host(sK4_skl)),
% 16.96/2.74 inference(resolution,[status(thm)],[f196,f242])).
% 16.96/2.74 fof(f334,plain,(
% 16.96/2.74 ![X0]: (~leq(nbr_proc,host(X0))|host(X0)=nbr_proc)),
% 16.96/2.74 inference(resolution,[status(thm)],[f196,f76])).
% 16.96/2.74 fof(f355,plain,(
% 16.96/2.74 nbr_proc=host(sK4_skl)),
% 16.96/2.74 inference(forward_subsumption_resolution,[status(thm)],[f333,f76])).
% 16.96/2.74 fof(f462,plain,(
% 16.96/2.74 nbr_proc=host(sK9_skl)),
% 16.96/2.74 inference(forward_demodulation,[status(thm)],[f355,f244])).
% 16.96/2.74 fof(f467,plain,(
% 16.96/2.74 ![X0]: (~setIn(sK9_skl,alive)|~setIn(X0,alive)|~setIn(host(X0),index(down,nbr_proc))|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sK9_skl)))),
% 16.96/2.74 inference(paramodulation,[status(thm)],[f462,f220])).
% 16.96/2.74 fof(f483,plain,(
% 16.96/2.74 ![X0]: (~setIn(sK9_skl,alive)|~setIn(X0,alive)|~setIn(host(X0),index(down,nbr_proc))|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),nbr_proc))),
% 16.96/2.74 inference(forward_demodulation,[status(thm)],[f462,f467])).
% 16.96/2.74 fof(f484,plain,(
% 16.96/2.74 ![X0]: (~setIn(X0,alive)|~setIn(host(X0),index(down,nbr_proc))|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),nbr_proc))),
% 16.96/2.74 inference(forward_subsumption_resolution,[status(thm)],[f483,f249])).
% 16.96/2.74 fof(f506,plain,(
% 16.96/2.74 ![X0,X1]: (~setIn(sK9_skl,alive)|~setIn(X0,alive)|~elem(m_Down(X1),queue(nbr_proc))|~host(X0)=host(X1)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),host(sK9_skl)))),
% 16.96/2.74 inference(paramodulation,[status(thm)],[f462,f226])).
% 16.96/2.74 fof(f514,plain,(
% 16.96/2.74 ![X0,X1]: (~setIn(sK9_skl,alive)|~setIn(X0,alive)|~elem(m_Down(X1),queue(nbr_proc))|~host(X0)=host(X1)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),nbr_proc))),
% 16.96/2.74 inference(forward_demodulation,[status(thm)],[f462,f506])).
% 16.96/2.74 fof(f515,plain,(
% 16.96/2.74 ![X0,X1]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(nbr_proc))|~host(X0)=host(X1)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),nbr_proc))),
% 16.96/2.74 inference(forward_subsumption_resolution,[status(thm)],[f514,f249])).
% 16.96/2.74 fof(f518,plain,(
% 16.96/2.74 ~nbr_proc=host(sK10_skl)),
% 16.96/2.74 inference(forward_demodulation,[status(thm)],[f355,f245])).
% 16.96/2.74 fof(f762,plain,(
% 16.96/2.74 queue(nbr_proc)=cons(m_Down(sK5_skl),sK7_skl)),
% 16.96/2.74 inference(forward_demodulation,[status(thm)],[f355,f235])).
% 16.96/2.74 fof(f767,plain,(
% 16.96/2.74 elem(m_Down(sK5_skl),queue(nbr_proc))),
% 16.96/2.74 inference(paramodulation,[status(thm)],[f762,f251])).
% 16.96/2.74 fof(f779,plain,(
% 16.96/2.74 ![X0]: (leq(nbr_proc,X0)|~leq(s(zero),X0)|setIn(X0,index(down,host(sK4_skl)))|X0=host(sK5_skl))),
% 16.96/2.74 inference(forward_demodulation,[status(thm)],[f355,f240])).
% 16.96/2.74 fof(f780,plain,(
% 16.96/2.74 ![X0]: (leq(nbr_proc,X0)|~leq(s(zero),X0)|setIn(X0,index(down,nbr_proc))|X0=host(sK5_skl))),
% 16.96/2.74 inference(forward_demodulation,[status(thm)],[f355,f779])).
% 16.96/2.74 fof(f782,plain,(
% 16.96/2.74 ![X0]: (leq(nbr_proc,host(X0))|setIn(host(X0),index(down,nbr_proc))|host(X0)=host(sK5_skl))),
% 16.96/2.74 inference(resolution,[status(thm)],[f780,f74])).
% 16.96/2.74 fof(f804,plain,(
% 16.96/2.74 ~leq(index(pendack,host(sK10_skl)),nbr_proc)),
% 16.96/2.74 inference(forward_demodulation,[status(thm)],[f462,f246])).
% 16.96/2.74 fof(f1478,plain,(
% 16.96/2.74 ![X0]: (~setIn(X0,alive)|~host(X0)=host(sK5_skl)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),nbr_proc))),
% 16.96/2.74 inference(resolution,[status(thm)],[f515,f767])).
% 15.62/2.76 fof(f2148,plain,(
% 15.62/2.76 ![X0]: (leq(nbr_proc,host(X0))|host(X0)=host(sK5_skl)|~setIn(X0,alive)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),nbr_proc))),
% 15.62/2.76 inference(resolution,[status(thm)],[f782,f484])).
% 15.62/2.76 fof(f10721,plain,(
% 15.62/2.76 ![X0]: (leq(nbr_proc,host(X0))|~setIn(X0,alive)|~index(status,host(X0))=elec_2|leq(index(pendack,host(X0)),nbr_proc))),
% 15.62/2.76 inference(forward_subsumption_resolution,[status(thm)],[f2148,f1478])).
% 15.62/2.76 fof(f10722,plain,(
% 15.62/2.76 leq(nbr_proc,host(sK10_skl))|~index(status,host(sK10_skl))=elec_2|leq(index(pendack,host(sK10_skl)),nbr_proc)),
% 15.62/2.76 inference(resolution,[status(thm)],[f10721,f247])).
% 15.62/2.76 fof(f10724,plain,(
% 15.62/2.76 leq(nbr_proc,host(sK10_skl))|~elec_2=elec_2|leq(index(pendack,host(sK10_skl)),nbr_proc)),
% 15.62/2.76 inference(forward_demodulation,[status(thm)],[f248,f10722])).
% 15.62/2.76 fof(f10725,plain,(
% 15.62/2.76 leq(nbr_proc,host(sK10_skl))|leq(index(pendack,host(sK10_skl)),nbr_proc)),
% 15.62/2.76 inference(trivial_equality_resolution,[status(thm)],[f10724])).
% 15.62/2.76 fof(f10726,plain,(
% 15.62/2.76 leq(nbr_proc,host(sK10_skl))),
% 15.62/2.76 inference(forward_subsumption_resolution,[status(thm)],[f10725,f804])).
% 15.62/2.76 fof(f10731,plain,(
% 15.62/2.76 host(sK10_skl)=nbr_proc),
% 15.62/2.76 inference(resolution,[status(thm)],[f10726,f334])).
% 15.62/2.76 fof(f10747,plain,(
% 15.62/2.76 $false),
% 15.62/2.76 inference(forward_subsumption_resolution,[status(thm)],[f10731,f518])).
% 15.62/2.76 % SZS output end CNFRefutation for theBenchmark.p
% 15.62/2.79 % Elapsed time: 2.406526 seconds
% 15.62/2.79 % CPU time: 18.157177 seconds
% 15.62/2.79 % Total memory used: 193.565 MB
% 15.62/2.79 % Net memory used: 176.350 MB
%------------------------------------------------------------------------------