%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV462+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 : n017.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 20.59s 3.13s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV462+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 : n017.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 08:47:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 20.59/3.13 % Refutation found
% 20.59/3.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.59/3.13 % SZS output start CNFRefutation for theBenchmark
% 20.59/3.13 fof(f5,axiom,(
% 20.59/3.13 (! [P] : leq(host(P),nbr_proc) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f13,axiom,(
% 20.59/3.13 (! [X,Y,Z] : m_Ack(X,Y) != m_Down(Z) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f32,axiom,(
% 20.59/3.13 (! [X1,X2,Y1,Y2] :( X1 != X2=> m_Ack(X1,Y1) != m_Ack(X2,Y2) ) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f33,axiom,(
% 20.59/3.13 (! [X1,X2,Y1,Y2] :( Y1 != Y2=> m_Ack(X1,Y1) != m_Ack(X2,Y2) ) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f47,axiom,(
% 20.59/3.13 (! [X,Y,Q] :( elem(X,cons(Y,Q))<=> ( X = Y| elem(X,Q) ) ) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f48,axiom,(
% 20.59/3.13 (! [X,Y,Q] :( elem(X,snoc(Q,Y))<=> ( X = Y| elem(X,Q) ) ) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f60,axiom,(
% 20.59/3.13 (! [X] : leq(X,X) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f62,axiom,(
% 20.59/3.13 (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )<=> X = Y ) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f64,axiom,(
% 20.59/3.13 (! [X,Y] :( leq(X,Y)<=> leq(s(X),s(Y)) ) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f65,axiom,(
% 20.59/3.13 (! [X,Y] :( leq(X,s(Y))<=> ( X = s(Y)| leq(X,Y) ) ) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f67,conjecture,(
% 20.59/3.13 (! [V,W,X] :( ( (! [Y,Z] :( elem(m_Ldr(Z),queue(host(Y)))=> ~ leq(host(Y),host(Z)) ))& (! [Y,Z] :( elem(m_Down(Z),queue(host(Y)))=> host(Z) != host(Y) ))& (! [Y,Z] :( elem(m_Halt(Z),queue(host(Y)))=> ~ leq(host(Y),host(Z)) ))& (! [Y,Z,Pid0] :( elem(m_Ack(Pid0,Y),queue(host(Z)))=> ~ leq(host(Y),host(Pid0)) ))& (! [Y,Z] :( ( Z != Y& host(Z) = host(Y) )=> ( ~ setIn(Y,alive)| ~ setIn(Z,alive) ) ))& (! [Y,Z] :( ( setIn(Z,alive)& elem(m_Ack(Z,Y),queue(host(Z))) )=> leq(host(Y),index(pendack,host(Z))) ))& (! [Y,Z] :( ( setIn(Z,alive)& index(status,host(Z)) = elec_1 )=> ~ elem(m_Ack(Z,Y),queue(host(Z))) ))& (! [Y] :( ( ( index(status,host(Y)) = elec_1| index(status,host(Y)) = elec_2 )& setIn(Y,alive) )=> index(elid,host(Y)) = Y ))& (! [Y,Z] :( ( ~ leq(host(Y),host(Z))& setIn(Y,alive)& setIn(Z,alive)& index(status,host(Y)) = elec_2& index(status,host(Z)) = elec_2 )=> leq(index(pendack,host(Z)),host(Y)) ))& (! [Y,Z,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Z),queue(host(Pid0)))& host(Z) = host(Y) )=> ~ ( setIn(Y,alive)& index(ldr,host(Y)) = host(Y)& index(status,host(Y)) = norm ) ))& (! [Y,Z,Pid0] :( ( setIn(Y,alive)& setIn(Pid0,alive)& host(Pid0) = host(Z)& index(status,host(Y)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Ack(Y,Z),queue(host(Y))) ))& (! [Y,Z] :( ( ~ leq(host(Y),host(Z))& setIn(Y,alive)& setIn(Z,alive)& index(status,host(Y)) = elec_2& index(status,host(Z)) = elec_2 )=> ~ leq(index(pendack,host(Y)),index(pendack,host(Z))) ))& (! [Y,Z,Pid0] :( ( ~ leq(index(pendack,host(Pid0)),host(Y))& setIn(Pid0,alive)& elem(m_Halt(Pid0),queue(host(Z)))& index(status,host(Pid0)) = elec_2 )=> ~ ( setIn(Y,alive)& index(ldr,host(Y)) = host(Y)& index(status,host(Y)) = norm ) ))& (! [Y,Z,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid0) = host(Z)& host(Pid0) = nbr_proc& index(status,host(Pid0)) = elec_1 )=> ~ ( setIn(Y,alive)& elem(m_Down(Z),queue(host(Y))) ) ))& (! [Y,Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Ack(Pid0,Z),queue(host(Pid0)))& elem(m_Down(Pid20),queue(host(Pid0)))& leq(nbr_proc,s(index(pendack,host(Pid0))))& index(status,host(Pid0)) = elec_2& host(Z) = index(pendack,host(Pid0))& host(Pid20) = s(index(pendack,host(Pid0))) )=> ~ ( setIn(Y,alive)& index(ldr,host(Y)) = host(Y)& index(status,host(Y)) = norm ) ))& queue(host(W)) = cons(m_Halt(X),V) )=> ( setIn(W,alive)=> (! [Y] :( host(W) != host(Y)=> (! [Z,X0,Y0] :( host(X) = host(Y0)=> ( host(W) != host(Y0)=> ( ( setIn(Y0,alive)& leq(nbr_proc,s(index(pendack,host(Y0))))& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))& index(status,host(Y0)) = elec_2& host(Z) = index(pendack,host(Y0))& host(X0) = s(index(pendack,host(Y0))) )=> ~ ( setIn(Y,alive)& index(ldr,host(Y)) = host(Y)& index(status,host(Y)) = norm ) ) ) ) )) )) ) )),
% 20.59/3.13 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.59/3.13 fof(f68,negated_conjecture,(
% 20.59/3.13 ~((! [V,W,X] :( ( (! [Y,Z] :( elem(m_Ldr(Z),queue(host(Y)))=> ~ leq(host(Y),host(Z)) ))& (! [Y,Z] :( elem(m_Down(Z),queue(host(Y)))=> host(Z) != host(Y) ))& (! [Y,Z] :( elem(m_Halt(Z),queue(host(Y)))=> ~ leq(host(Y),host(Z)) ))& (! [Y,Z,Pid0] :( elem(m_Ack(Pid0,Y),queue(host(Z)))=> ~ leq(host(Y),host(Pid0)) ))& (! [Y,Z] :( ( Z != Y& host(Z) = host(Y) )=> ( ~ setIn(Y,alive)| ~ setIn(Z,alive) ) ))& (! [Y,Z] :( ( setIn(Z,alive)& elem(m_Ack(Z,Y),queue(host(Z))) )=> leq(host(Y),index(pendack,host(Z))) ))& (! [Y,Z] :( ( setIn(Z,alive)& index(status,host(Z)) = elec_1 )=> ~ elem(m_Ack(Z,Y),queue(host(Z))) ))& (! [Y] :( ( ( index(status,host(Y)) = elec_1| index(status,host(Y)) = elec_2 )& setIn(Y,alive) )=> index(elid,host(Y)) = Y ))& (! [Y,Z] :( ( ~ leq(host(Y),host(Z))& setIn(Y,alive)& setIn(Z,alive)& index(status,host(Y)) = elec_2& index(status,host(Z)) = elec_2 )=> leq(index(pendack,host(Z)),host(Y)) ))& (! [Y,Z,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Z),queue(host(Pid0)))& host(Z) = host(Y) )=> ~ ( setIn(Y,alive)& index(ldr,host(Y)) = host(Y)& index(status,host(Y)) = norm ) ))& (! [Y,Z,Pid0] :( ( setIn(Y,alive)& setIn(Pid0,alive)& host(Pid0) = host(Z)& index(status,host(Y)) = elec_2& index(status,host(Pid0)) = elec_2 )=> ~ elem(m_Ack(Y,Z),queue(host(Y))) ))& (! [Y,Z] :( ( ~ leq(host(Y),host(Z))& setIn(Y,alive)& setIn(Z,alive)& index(status,host(Y)) = elec_2& index(status,host(Z)) = elec_2 )=> ~ leq(index(pendack,host(Y)),index(pendack,host(Z))) ))& (! [Y,Z,Pid0] :( ( ~ leq(index(pendack,host(Pid0)),host(Y))& setIn(Pid0,alive)& elem(m_Halt(Pid0),queue(host(Z)))& index(status,host(Pid0)) = elec_2 )=> ~ ( setIn(Y,alive)& index(ldr,host(Y)) = host(Y)& index(status,host(Y)) = norm ) ))& (! [Y,Z,Pid20,Pid0] :( ( (! [V0] :( ( ~ leq(host(Pid0),V0)& leq(s(zero),V0) )=> ( setIn(V0,index(down,host(Pid0)))| V0 = host(Pid20) ) ))& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid0) = host(Z)& host(Pid0) = nbr_proc& index(status,host(Pid0)) = elec_1 )=> ~ ( setIn(Y,alive)& elem(m_Down(Z),queue(host(Y))) ) ))& (! [Y,Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Ack(Pid0,Z),queue(host(Pid0)))& elem(m_Down(Pid20),queue(host(Pid0)))& leq(nbr_proc,s(index(pendack,host(Pid0))))& index(status,host(Pid0)) = elec_2& host(Z) = index(pendack,host(Pid0))& host(Pid20) = s(index(pendack,host(Pid0))) )=> ~ ( setIn(Y,alive)& index(ldr,host(Y)) = host(Y)& index(status,host(Y)) = norm ) ))& queue(host(W)) = cons(m_Halt(X),V) )=> ( setIn(W,alive)=> (! [Y] :( host(W) != host(Y)=> (! [Z,X0,Y0] :( host(X) = host(Y0)=> ( host(W) != host(Y0)=> ( ( setIn(Y0,alive)& leq(nbr_proc,s(index(pendack,host(Y0))))& elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W)))& elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W)))& index(status,host(Y0)) = elec_2& host(Z) = index(pendack,host(Y0))& host(X0) = s(index(pendack,host(Y0))) )=> ~ ( setIn(Y,alive)& index(ldr,host(Y)) = host(Y)& index(status,host(Y)) = norm ) ) ) ) )) )) ) ))),
% 20.59/3.13 inference(negated_conjecture,[status(cth)],[f67])).
% 20.59/3.13 fof(f76,plain,(
% 20.59/3.13 ![X0]: (leq(host(X0),nbr_proc))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f5])).
% 20.59/3.13 fof(f84,plain,(
% 20.59/3.13 ![X0,X1,X2]: (~m_Ack(X0,X1)=m_Down(X2))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f13])).
% 20.59/3.13 fof(f118,plain,(
% 20.59/3.13 ![X1,X2,Y1,Y2]: (X1=X2|~m_Ack(X1,Y1)=m_Ack(X2,Y2))),
% 20.59/3.13 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 20.59/3.13 fof(f119,plain,(
% 20.59/3.13 ![X1,X2]: (X1=X2|(![Y1,Y2]: ~m_Ack(X1,Y1)=m_Ack(X2,Y2)))),
% 20.59/3.13 inference(miniscoping,[status(thm)],[f118])).
% 20.59/3.13 fof(f120,plain,(
% 20.59/3.13 ![X0,X1,X2,X3]: (X0=X1|~m_Ack(X0,X2)=m_Ack(X1,X3))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f119])).
% 20.59/3.13 fof(f121,plain,(
% 20.59/3.13 ![X1,X2,Y1,Y2]: (Y1=Y2|~m_Ack(X1,Y1)=m_Ack(X2,Y2))),
% 20.59/3.13 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 20.59/3.13 fof(f122,plain,(
% 20.59/3.13 ![Y1,Y2]: (Y1=Y2|(![X1,X2]: ~m_Ack(X1,Y1)=m_Ack(X2,Y2)))),
% 20.59/3.13 inference(miniscoping,[status(thm)],[f121])).
% 20.59/3.13 fof(f123,plain,(
% 20.59/3.13 ![X0,X1,X2,X3]: (X0=X1|~m_Ack(X2,X0)=m_Ack(X3,X1))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f122])).
% 20.59/3.13 fof(f138,plain,(
% 20.59/3.13 ![X,Y,Q]: ((~elem(X,cons(Y,Q))|(X=Y|elem(X,Q)))&(elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 20.59/3.13 inference(NNF_transformation,[status(thm)],[f47])).
% 20.59/3.13 fof(f139,plain,(
% 20.59/3.13 (![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))))),
% 20.59/3.13 inference(miniscoping,[status(thm)],[f138])).
% 20.59/3.13 fof(f141,plain,(
% 20.59/3.13 ![X0,X1,X2]: (elem(X0,cons(X1,X2))|~X0=X1)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f139])).
% 20.59/3.13 fof(f143,plain,(
% 20.59/3.13 ![X,Y,Q]: ((~elem(X,snoc(Q,Y))|(X=Y|elem(X,Q)))&(elem(X,snoc(Q,Y))|(~X=Y&~elem(X,Q))))),
% 20.59/3.13 inference(NNF_transformation,[status(thm)],[f48])).
% 20.59/3.13 fof(f144,plain,(
% 20.59/3.13 (![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))))),
% 20.59/3.13 inference(miniscoping,[status(thm)],[f143])).
% 20.59/3.13 fof(f145,plain,(
% 20.59/3.13 ![X0,X1,X2]: (~elem(X0,snoc(X1,X2))|X0=X2|elem(X0,X1))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f144])).
% 20.59/3.13 fof(f192,plain,(
% 20.59/3.13 ![X0]: (leq(X0,X0))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f60])).
% 20.59/3.13 fof(f194,plain,(
% 20.59/3.13 ![X,Y]: (((~leq(X,Y)|~leq(Y,X))|X=Y)&((leq(X,Y)&leq(Y,X))|~X=Y))),
% 20.59/3.13 inference(NNF_transformation,[status(thm)],[f62])).
% 20.59/3.13 fof(f195,plain,(
% 20.59/3.13 (![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y))&(![X,Y]: ((leq(X,Y)&leq(Y,X))|~X=Y))),
% 20.59/3.13 inference(miniscoping,[status(thm)],[f194])).
% 20.59/3.13 fof(f196,plain,(
% 20.59/3.13 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f195])).
% 20.59/3.13 fof(f202,plain,(
% 20.59/3.13 ![X,Y]: ((~leq(X,Y)|leq(s(X),s(Y)))&(leq(X,Y)|~leq(s(X),s(Y))))),
% 20.59/3.13 inference(NNF_transformation,[status(thm)],[f64])).
% 20.59/3.13 fof(f203,plain,(
% 20.59/3.13 (![X,Y]: (~leq(X,Y)|leq(s(X),s(Y))))&(![X,Y]: (leq(X,Y)|~leq(s(X),s(Y))))),
% 20.59/3.13 inference(miniscoping,[status(thm)],[f202])).
% 20.59/3.13 fof(f204,plain,(
% 20.59/3.13 ![X0,X1]: (~leq(X0,X1)|leq(s(X0),s(X1)))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f203])).
% 20.59/3.13 fof(f205,plain,(
% 20.59/3.13 ![X0,X1]: (leq(X0,X1)|~leq(s(X0),s(X1)))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f203])).
% 20.59/3.13 fof(f206,plain,(
% 20.59/3.13 ![X,Y]: ((~leq(X,s(Y))|(X=s(Y)|leq(X,Y)))&(leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 20.59/3.13 inference(NNF_transformation,[status(thm)],[f65])).
% 20.59/3.13 fof(f207,plain,(
% 20.59/3.13 (![X,Y]: (~leq(X,s(Y))|(X=s(Y)|leq(X,Y))))&(![X,Y]: (leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 20.59/3.13 inference(miniscoping,[status(thm)],[f206])).
% 20.59/3.13 fof(f208,plain,(
% 20.59/3.13 ![X0,X1]: (~leq(X0,s(X1))|X0=s(X1)|leq(X0,X1))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f207])).
% 20.59/3.13 fof(f212,plain,(
% 20.59/3.13 (?[V,W,X]: (((((((((((((((((![Y,Z]: (~elem(m_Ldr(Z),queue(host(Y)))|~leq(host(Y),host(Z))))&(![Y,Z]: (~elem(m_Down(Z),queue(host(Y)))|~host(Z)=host(Y))))&(![Y,Z]: (~elem(m_Halt(Z),queue(host(Y)))|~leq(host(Y),host(Z)))))&(![Y,Z,Pid0]: (~elem(m_Ack(Pid0,Y),queue(host(Z)))|~leq(host(Y),host(Pid0)))))&(![Y,Z]: ((Z=Y|~host(Z)=host(Y))|(~setIn(Y,alive)|~setIn(Z,alive)))))&(![Y,Z]: ((~setIn(Z,alive)|~elem(m_Ack(Z,Y),queue(host(Z))))|leq(host(Y),index(pendack,host(Z))))))&(![Y,Z]: ((~setIn(Z,alive)|~index(status,host(Z))=elec_1)|~elem(m_Ack(Z,Y),queue(host(Z))))))&(![Y]: (((~index(status,host(Y))=elec_1&~index(status,host(Y))=elec_2)|~setIn(Y,alive))|index(elid,host(Y))=Y)))&(![Y,Z]: (((((leq(host(Y),host(Z))|~setIn(Y,alive))|~setIn(Z,alive))|~index(status,host(Y))=elec_2)|~index(status,host(Z))=elec_2)|leq(index(pendack,host(Z)),host(Y)))))&(![Y,Z,Pid0]: (((~setIn(Pid0,alive)|~elem(m_Down(Z),queue(host(Pid0))))|~host(Z)=host(Y))|((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=norm))))&(![Y,Z,Pid0]: (((((~setIn(Y,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Z))|~index(status,host(Y))=elec_2)|~index(status,host(Pid0))=elec_2)|~elem(m_Ack(Y,Z),queue(host(Y))))))&(![Y,Z]: (((((leq(host(Y),host(Z))|~setIn(Y,alive))|~setIn(Z,alive))|~index(status,host(Y))=elec_2)|~index(status,host(Z))=elec_2)|~leq(index(pendack,host(Y)),index(pendack,host(Z))))))&(![Y,Z,Pid0]: ((((leq(index(pendack,host(Pid0)),host(Y))|~setIn(Pid0,alive))|~elem(m_Halt(Pid0),queue(host(Z))))|~index(status,host(Pid0))=elec_2)|((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=norm))))&(![Y,Z,Pid20,Pid0]: ((((((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|~elem(m_Down(Pid20),queue(host(Pid0))))|~host(Pid0)=host(Z))|~host(Pid0)=nbr_proc)|~index(status,host(Pid0))=elec_1)|(~setIn(Y,alive)|~elem(m_Down(Z),queue(host(Y)))))))&(![Y,Z,Pid20,Pid0]: (((((((~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Z),queue(host(Pid0))))|~elem(m_Down(Pid20),queue(host(Pid0))))|~leq(nbr_proc,s(index(pendack,host(Pid0)))))|~index(status,host(Pid0))=elec_2)|~host(Z)=index(pendack,host(Pid0)))|~host(Pid20)=s(index(pendack,host(Pid0))))|((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=norm))))&queue(host(W))=cons(m_Halt(X),V))&(setIn(W,alive)&(?[Y]: (~host(W)=host(Y)&(?[Z,X0,Y0]: (host(X)=host(Y0)&(~host(W)=host(Y0)&(((((((setIn(Y0,alive)&leq(nbr_proc,s(index(pendack,host(Y0)))))&elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W))))&elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W))))&index(status,host(Y0))=elec_2)&host(Z)=index(pendack,host(Y0)))&host(X0)=s(index(pendack,host(Y0))))&((setIn(Y,alive)&index(ldr,host(Y))=host(Y))&index(status,host(Y))=norm))))))))))),
% 20.59/3.13 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 20.59/3.13 fof(f213,plain,(
% 20.59/3.13 ?[W,X]: (((((((((((((((((![Y,Z]: (~elem(m_Ldr(Z),queue(host(Y)))|~leq(host(Y),host(Z))))&(![Y,Z]: (~elem(m_Down(Z),queue(host(Y)))|~host(Z)=host(Y))))&(![Y,Z]: (~elem(m_Halt(Z),queue(host(Y)))|~leq(host(Y),host(Z)))))&(![Y,Pid0]: ((![Z]: ~elem(m_Ack(Pid0,Y),queue(host(Z))))|~leq(host(Y),host(Pid0)))))&(![Y,Z]: ((Z=Y|~host(Z)=host(Y))|(~setIn(Y,alive)|~setIn(Z,alive)))))&(![Y,Z]: ((~setIn(Z,alive)|~elem(m_Ack(Z,Y),queue(host(Z))))|leq(host(Y),index(pendack,host(Z))))))&(![Z]: ((~setIn(Z,alive)|~index(status,host(Z))=elec_1)|(![Y]: ~elem(m_Ack(Z,Y),queue(host(Z)))))))&(![Y]: (((~index(status,host(Y))=elec_1&~index(status,host(Y))=elec_2)|~setIn(Y,alive))|index(elid,host(Y))=Y)))&(![Y,Z]: (((((leq(host(Y),host(Z))|~setIn(Y,alive))|~setIn(Z,alive))|~index(status,host(Y))=elec_2)|~index(status,host(Z))=elec_2)|leq(index(pendack,host(Z)),host(Y)))))&(![Y]: ((![Z]: ((![Pid0]: (~setIn(Pid0,alive)|~elem(m_Down(Z),queue(host(Pid0)))))|~host(Z)=host(Y)))|((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=norm))))&(![Y,Z]: ((![Pid0]: ((((~setIn(Y,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Z))|~index(status,host(Y))=elec_2)|~index(status,host(Pid0))=elec_2))|~elem(m_Ack(Y,Z),queue(host(Y))))))&(![Y,Z]: (((((leq(host(Y),host(Z))|~setIn(Y,alive))|~setIn(Z,alive))|~index(status,host(Y))=elec_2)|~index(status,host(Z))=elec_2)|~leq(index(pendack,host(Y)),index(pendack,host(Z))))))&(![Y]: ((![Pid0]: (((leq(index(pendack,host(Pid0)),host(Y))|~setIn(Pid0,alive))|(![Z]: ~elem(m_Halt(Pid0),queue(host(Z)))))|~index(status,host(Pid0))=elec_2))|((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=norm))))&(![Z]: ((![Pid0]: ((((![Pid20]: ((?[V0]: ((~leq(host(Pid0),V0)&leq(s(zero),V0))&(~setIn(V0,index(down,host(Pid0)))&~V0=host(Pid20))))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid0)=host(Z))|~host(Pid0)=nbr_proc)|~index(status,host(Pid0))=elec_1))|(![Y]: (~setIn(Y,alive)|~elem(m_Down(Z),queue(host(Y))))))))&((![Pid20,Pid0]: ((![Z]: (((((~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Z),queue(host(Pid0))))|~elem(m_Down(Pid20),queue(host(Pid0))))|~leq(nbr_proc,s(index(pendack,host(Pid0)))))|~index(status,host(Pid0))=elec_2)|~host(Z)=index(pendack,host(Pid0))))|~host(Pid20)=s(index(pendack,host(Pid0)))))|(![Y]: ((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=norm))))&(?[V]: queue(host(W))=cons(m_Halt(X),V)))&(setIn(W,alive)&(?[Y]: (~host(W)=host(Y)&(?[Y0]: (host(X)=host(Y0)&(~host(W)=host(Y0)&((?[X0]: ((?[Z]: (((((setIn(Y0,alive)&leq(nbr_proc,s(index(pendack,host(Y0)))))&elem(m_Down(X0),snoc(queue(host(Y0)),m_Ack(X,W))))&elem(m_Ack(Y0,Z),snoc(queue(host(Y0)),m_Ack(X,W))))&index(status,host(Y0))=elec_2)&host(Z)=index(pendack,host(Y0))))&host(X0)=s(index(pendack,host(Y0)))))&((setIn(Y,alive)&index(ldr,host(Y))=host(Y))&index(status,host(Y))=norm)))))))))),
% 20.59/3.13 inference(miniscoping,[status(thm)],[f212])).
% 20.59/3.13 fof(f214,plain,(
% 20.59/3.13 (((((((((((((((((![Y,Z]: (~elem(m_Ldr(Z),queue(host(Y)))|~leq(host(Y),host(Z))))&(![Y,Z]: (~elem(m_Down(Z),queue(host(Y)))|~host(Z)=host(Y))))&(![Y,Z]: (~elem(m_Halt(Z),queue(host(Y)))|~leq(host(Y),host(Z)))))&(![Y,Pid0]: ((![Z]: ~elem(m_Ack(Pid0,Y),queue(host(Z))))|~leq(host(Y),host(Pid0)))))&(![Y,Z]: ((Z=Y|~host(Z)=host(Y))|(~setIn(Y,alive)|~setIn(Z,alive)))))&(![Y,Z]: ((~setIn(Z,alive)|~elem(m_Ack(Z,Y),queue(host(Z))))|leq(host(Y),index(pendack,host(Z))))))&(![Z]: ((~setIn(Z,alive)|~index(status,host(Z))=elec_1)|(![Y]: ~elem(m_Ack(Z,Y),queue(host(Z)))))))&(![Y]: (((~index(status,host(Y))=elec_1&~index(status,host(Y))=elec_2)|~setIn(Y,alive))|index(elid,host(Y))=Y)))&(![Y,Z]: (((((leq(host(Y),host(Z))|~setIn(Y,alive))|~setIn(Z,alive))|~index(status,host(Y))=elec_2)|~index(status,host(Z))=elec_2)|leq(index(pendack,host(Z)),host(Y)))))&(![Y]: ((![Z]: ((![Pid0]: (~setIn(Pid0,alive)|~elem(m_Down(Z),queue(host(Pid0)))))|~host(Z)=host(Y)))|((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=norm))))&(![Y,Z]: ((![Pid0]: ((((~setIn(Y,alive)|~setIn(Pid0,alive))|~host(Pid0)=host(Z))|~index(status,host(Y))=elec_2)|~index(status,host(Pid0))=elec_2))|~elem(m_Ack(Y,Z),queue(host(Y))))))&(![Y,Z]: (((((leq(host(Y),host(Z))|~setIn(Y,alive))|~setIn(Z,alive))|~index(status,host(Y))=elec_2)|~index(status,host(Z))=elec_2)|~leq(index(pendack,host(Y)),index(pendack,host(Z))))))&(![Y]: ((![Pid0]: (((leq(index(pendack,host(Pid0)),host(Y))|~setIn(Pid0,alive))|(![Z]: ~elem(m_Halt(Pid0),queue(host(Z)))))|~index(status,host(Pid0))=elec_2))|((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=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)))|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid0)=host(Z))|~host(Pid0)=nbr_proc)|~index(status,host(Pid0))=elec_1))|(![Y]: (~setIn(Y,alive)|~elem(m_Down(Z),queue(host(Y))))))))&((![Pid20,Pid0]: ((![Z]: (((((~setIn(Pid0,alive)|~elem(m_Ack(Pid0,Z),queue(host(Pid0))))|~elem(m_Down(Pid20),queue(host(Pid0))))|~leq(nbr_proc,s(index(pendack,host(Pid0)))))|~index(status,host(Pid0))=elec_2)|~host(Z)=index(pendack,host(Pid0))))|~host(Pid20)=s(index(pendack,host(Pid0)))))|(![Y]: ((~setIn(Y,alive)|~index(ldr,host(Y))=host(Y))|~index(status,host(Y))=norm))))&queue(host(sK4_skl))=cons(m_Halt(sK5_skl),sK7_skl))&(setIn(sK4_skl,alive)&(~host(sK4_skl)=host(sK8_skl)&(host(sK5_skl)=host(sK9_skl)&(~host(sK4_skl)=host(sK9_skl)&(((((((setIn(sK9_skl,alive)&leq(nbr_proc,s(index(pendack,host(sK9_skl)))))&elem(m_Down(sK10_skl),snoc(queue(host(sK9_skl)),m_Ack(sK5_skl,sK4_skl))))&elem(m_Ack(sK9_skl,sK11_skl),snoc(queue(host(sK9_skl)),m_Ack(sK5_skl,sK4_skl))))&index(status,host(sK9_skl))=elec_2)&host(sK11_skl)=index(pendack,host(sK9_skl)))&host(sK10_skl)=s(index(pendack,host(sK9_skl))))&((setIn(sK8_skl,alive)&index(ldr,host(sK8_skl))=host(sK8_skl))&index(status,host(sK8_skl))=norm)))))))),
% 20.59/3.13 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(W,sK4_skl),skolemize(X,sK5_skl),skolemize(V0,sK6_skl(Pid20,Pid0,Z)),skolemize(V,sK7_skl),skolemize(Y,sK8_skl),skolemize(Y0,sK9_skl),skolemize(X0,sK10_skl),skolemize(Z,sK11_skl)],[f213])).
% 20.59/3.13 fof(f219,plain,(
% 20.59/3.13 ![X0,X1]: (X0=X1|~host(X0)=host(X1)|~setIn(X1,alive)|~setIn(X0,alive))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f225,plain,(
% 20.59/3.13 ![X0,X1,X2]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(X1)=host(X2)|~setIn(X2,alive)|~index(ldr,host(X2))=host(X2)|~index(status,host(X2))=norm)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f228,plain,(
% 20.59/3.13 ![X0,X1,X2]: (leq(index(pendack,host(X0)),host(X1))|~setIn(X0,alive)|~elem(m_Halt(X0),queue(host(X2)))|~index(status,host(X0))=elec_2|~setIn(X1,alive)|~index(ldr,host(X1))=host(X1)|~index(status,host(X1))=norm)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f233,plain,(
% 20.59/3.13 ![X0,X1,X2,X3]: (~setIn(X0,alive)|~elem(m_Ack(X0,X1),queue(host(X0)))|~elem(m_Down(X2),queue(host(X0)))|~leq(nbr_proc,s(index(pendack,host(X0))))|~index(status,host(X0))=elec_2|~host(X1)=index(pendack,host(X0))|~host(X2)=s(index(pendack,host(X0)))|~setIn(X3,alive)|~index(ldr,host(X3))=host(X3)|~index(status,host(X3))=norm)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f234,plain,(
% 20.59/3.13 queue(host(sK4_skl))=cons(m_Halt(sK5_skl),sK7_skl)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f235,plain,(
% 20.59/3.13 setIn(sK4_skl,alive)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f236,plain,(
% 20.59/3.13 ~host(sK4_skl)=host(sK8_skl)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f237,plain,(
% 20.59/3.13 host(sK5_skl)=host(sK9_skl)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f239,plain,(
% 20.59/3.13 setIn(sK9_skl,alive)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f240,plain,(
% 20.59/3.13 leq(nbr_proc,s(index(pendack,host(sK9_skl))))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f241,plain,(
% 20.59/3.13 elem(m_Down(sK10_skl),snoc(queue(host(sK9_skl)),m_Ack(sK5_skl,sK4_skl)))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f242,plain,(
% 20.59/3.13 elem(m_Ack(sK9_skl,sK11_skl),snoc(queue(host(sK9_skl)),m_Ack(sK5_skl,sK4_skl)))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f243,plain,(
% 20.59/3.13 index(status,host(sK9_skl))=elec_2),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f244,plain,(
% 20.59/3.13 host(sK11_skl)=index(pendack,host(sK9_skl))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f245,plain,(
% 20.59/3.13 host(sK10_skl)=s(index(pendack,host(sK9_skl)))),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f246,plain,(
% 20.59/3.13 setIn(sK8_skl,alive)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f247,plain,(
% 20.59/3.13 index(ldr,host(sK8_skl))=host(sK8_skl)),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f248,plain,(
% 20.59/3.13 index(status,host(sK8_skl))=norm),
% 20.59/3.13 inference(cnf_transformation,[status(thm)],[f214])).
% 20.59/3.13 fof(f249,definition,(
% 20.59/3.13 ![X0,X1,X2]: (sQ0_spl <=> (~setIn(X0,alive)|~elem(m_Ack(X0,X1),queue(host(X0)))|~elem(m_Down(X2),queue(host(X0)))|~leq(nbr_proc,s(index(pendack,host(X0))))|~index(status,host(X0))=elec_2|~host(X1)=index(pendack,host(X0))|~host(X2)=s(index(pendack,host(X0)))))),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 20.59/3.13 fof(f250,plain,(
% 20.59/3.13 ![X0,X1,X2]: (~setIn(X0,alive)|~elem(m_Ack(X0,X1),queue(host(X0)))|~elem(m_Down(X2),queue(host(X0)))|~leq(nbr_proc,s(index(pendack,host(X0))))|~index(status,host(X0))=elec_2|~host(X1)=index(pendack,host(X0))|~host(X2)=s(index(pendack,host(X0)))|~sQ0_spl)),
% 20.59/3.13 inference(component_clause,[status(thm)],[f249])).
% 20.59/3.13 fof(f252,definition,(
% 20.59/3.13 ![X3]: (sQ1_spl <=> (~setIn(X3,alive)|~index(ldr,host(X3))=host(X3)|~index(status,host(X3))=norm))),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 20.59/3.13 fof(f253,plain,(
% 20.59/3.13 ![X0]: (~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|~sQ1_spl)),
% 20.59/3.13 inference(component_clause,[status(thm)],[f252])).
% 20.59/3.13 fof(f255,plain,(
% 20.59/3.13 sQ0_spl|sQ1_spl),
% 20.59/3.13 inference(split_clause,[status(thm)],[f233,f249,f252])).
% 20.59/3.13 fof(f256,plain,(
% 20.59/3.13 ![X0,X1]: (elem(X0,cons(X0,X1)))),
% 20.59/3.13 inference(destructive_equality_resolution,[status(thm)],[f141])).
% 20.59/3.13 fof(f265,plain,(
% 20.59/3.13 leq(nbr_proc,s(index(pendack,host(sK5_skl))))),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f237,f240])).
% 20.59/3.13 fof(f266,plain,(
% 20.59/3.13 elem(m_Down(sK10_skl),snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK4_skl)))),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f237,f241])).
% 20.59/3.13 fof(f267,plain,(
% 20.59/3.13 elem(m_Ack(sK9_skl,sK11_skl),snoc(queue(host(sK5_skl)),m_Ack(sK5_skl,sK4_skl)))),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f237,f242])).
% 20.59/3.13 fof(f268,plain,(
% 20.59/3.13 index(status,host(sK5_skl))=elec_2),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f237,f243])).
% 20.59/3.13 fof(f269,plain,(
% 20.59/3.13 leq(nbr_proc,s(host(sK11_skl)))),
% 20.59/3.13 inference(backward_demodulation,[status(thm)],[f270,f265])).
% 20.59/3.13 fof(f270,plain,(
% 20.59/3.13 host(sK11_skl)=index(pendack,host(sK5_skl))),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f237,f244])).
% 20.59/3.13 fof(f271,plain,(
% 20.59/3.13 host(sK10_skl)=s(index(pendack,host(sK5_skl)))),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f237,f245])).
% 20.59/3.13 fof(f272,plain,(
% 20.59/3.13 host(sK10_skl)=s(host(sK11_skl))),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f270,f271])).
% 20.59/3.13 fof(f273,plain,(
% 20.59/3.13 leq(nbr_proc,host(sK10_skl))),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f272,f269])).
% 20.59/3.13 fof(f300,plain,(
% 20.59/3.13 ![X0]: (X0=sK8_skl|~host(X0)=host(sK8_skl)|~setIn(X0,alive))),
% 20.59/3.13 inference(resolution,[status(thm)],[f219,f246])).
% 20.59/3.13 fof(f336,definition,(
% 20.59/3.13 sQ10_spl <=> (setIn(sK9_skl,alive))),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 20.59/3.13 fof(f338,plain,(
% 20.59/3.13 ~setIn(sK9_skl,alive)|sQ10_spl),
% 20.59/3.13 inference(component_clause,[status(thm)],[f336])).
% 20.59/3.13 fof(f343,plain,(
% 20.59/3.13 $false|sQ10_spl),
% 20.59/3.13 inference(forward_subsumption_resolution,[status(thm)],[f338,f239])).
% 20.59/3.13 fof(f344,plain,(
% 20.59/3.13 sQ10_spl),
% 20.59/3.13 inference(contradiction_clause,[status(thm)],[f343])).
% 20.59/3.13 fof(f453,plain,(
% 20.59/3.13 ~leq(host(sK10_skl),nbr_proc)|nbr_proc=host(sK10_skl)),
% 20.59/3.13 inference(resolution,[status(thm)],[f196,f273])).
% 20.59/3.13 fof(f454,plain,(
% 20.59/3.13 ![X0]: (~leq(nbr_proc,host(X0))|host(X0)=nbr_proc)),
% 20.59/3.13 inference(resolution,[status(thm)],[f196,f76])).
% 20.59/3.13 fof(f474,definition,(
% 20.59/3.13 sQ20_spl <=> (leq(host(sK10_skl),nbr_proc))),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 20.59/3.13 fof(f476,plain,(
% 20.59/3.13 ~leq(host(sK10_skl),nbr_proc)|sQ20_spl),
% 20.59/3.13 inference(component_clause,[status(thm)],[f474])).
% 20.59/3.13 fof(f477,definition,(
% 20.59/3.13 sQ21_spl <=> (nbr_proc=host(sK10_skl))),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 20.59/3.13 fof(f478,plain,(
% 20.59/3.13 nbr_proc=host(sK10_skl)|~sQ21_spl),
% 20.59/3.13 inference(component_clause,[status(thm)],[f477])).
% 20.59/3.13 fof(f480,plain,(
% 20.59/3.13 ~sQ20_spl|sQ21_spl),
% 20.59/3.13 inference(split_clause,[status(thm)],[f453,f474,f477])).
% 20.59/3.13 fof(f490,plain,(
% 20.59/3.13 $false|sQ20_spl),
% 20.59/3.13 inference(forward_subsumption_resolution,[status(thm)],[f476,f76])).
% 20.59/3.13 fof(f491,plain,(
% 20.59/3.13 sQ20_spl),
% 20.59/3.13 inference(contradiction_clause,[status(thm)],[f490])).
% 20.59/3.13 fof(f493,plain,(
% 20.59/3.13 nbr_proc=s(host(sK11_skl))|~sQ21_spl),
% 20.59/3.13 inference(backward_demodulation,[status(thm)],[f478,f272])).
% 20.59/3.13 fof(f556,definition,(
% 20.59/3.13 sQ30_spl <=> (index(status,host(sK9_skl))=elec_2)),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 20.59/3.13 fof(f558,plain,(
% 20.59/3.13 ~index(status,host(sK9_skl))=elec_2|sQ30_spl),
% 20.59/3.13 inference(component_clause,[status(thm)],[f556])).
% 20.59/3.13 fof(f684,plain,(
% 20.59/3.13 ~index(status,host(sK5_skl))=elec_2|sQ30_spl),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f237,f558])).
% 20.59/3.13 fof(f685,plain,(
% 20.59/3.13 ~elec_2=elec_2|sQ30_spl),
% 20.59/3.13 inference(forward_demodulation,[status(thm)],[f268,f684])).
% 20.59/3.13 fof(f686,plain,(
% 20.59/3.13 $false|sQ30_spl),
% 20.59/3.13 inference(trivial_equality_resolution,[status(thm)],[f685])).
% 20.59/3.13 fof(f687,plain,(
% 20.59/3.13 sQ30_spl),
% 20.59/3.13 inference(contradiction_clause,[status(thm)],[f686])).
% 20.59/3.13 fof(f738,plain,(
% 20.59/3.13 ![X0]: (leq(X0,host(sK11_skl))|~leq(s(X0),nbr_proc)|~sQ21_spl)),
% 20.59/3.13 inference(paramodulation,[status(thm)],[f493,f205])).
% 20.59/3.13 fof(f793,plain,(
% 20.59/3.13 ![X0,X1]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(X1)=host(sK8_skl)|~index(ldr,host(sK8_skl))=host(sK8_skl)|~index(status,host(sK8_skl))=norm)),
% 20.59/3.13 inference(resolution,[status(thm)],[f225,f246])).
% 20.59/3.13 fof(f798,definition,(
% 20.59/3.13 ![X0,X1]: (sQ44_spl <=> (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(X1)=host(sK8_skl)))),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 20.59/3.13 fof(f799,plain,(
% 20.59/3.13 ![X0,X1]: (~setIn(X0,alive)|~elem(m_Down(X1),queue(host(X0)))|~host(X1)=host(sK8_skl)|~sQ44_spl)),
% 20.59/3.13 inference(component_clause,[status(thm)],[f798])).
% 20.59/3.13 fof(f801,definition,(
% 20.59/3.13 sQ45_spl <=> (index(ldr,host(sK8_skl))=host(sK8_skl))),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 20.59/3.13 fof(f803,plain,(
% 20.59/3.13 ~index(ldr,host(sK8_skl))=host(sK8_skl)|sQ45_spl),
% 20.59/3.13 inference(component_clause,[status(thm)],[f801])).
% 20.59/3.13 fof(f804,definition,(
% 20.59/3.13 sQ46_spl <=> (index(status,host(sK8_skl))=norm)),
% 20.59/3.13 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f806,plain,(
% 18.77/3.15 ~index(status,host(sK8_skl))=norm|sQ46_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f804])).
% 18.77/3.15 fof(f807,plain,(
% 18.77/3.15 sQ44_spl|~sQ45_spl|~sQ46_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f793,f798,f801,f804])).
% 18.77/3.15 fof(f841,plain,(
% 18.77/3.15 ~norm=norm|sQ46_spl),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f248,f806])).
% 18.77/3.15 fof(f842,plain,(
% 18.77/3.15 $false|sQ46_spl),
% 18.77/3.15 inference(trivial_equality_resolution,[status(thm)],[f841])).
% 18.77/3.15 fof(f843,plain,(
% 18.77/3.15 sQ46_spl),
% 18.77/3.15 inference(contradiction_clause,[status(thm)],[f842])).
% 18.77/3.15 fof(f943,plain,(
% 18.77/3.15 ![X0,X1]: (leq(index(pendack,host(X0)),host(sK8_skl))|~setIn(X0,alive)|~elem(m_Halt(X0),queue(host(X1)))|~index(status,host(X0))=elec_2|~index(ldr,host(sK8_skl))=host(sK8_skl)|~index(status,host(sK8_skl))=norm)),
% 18.77/3.15 inference(resolution,[status(thm)],[f228,f246])).
% 18.77/3.15 fof(f948,definition,(
% 18.77/3.15 ![X0,X1]: (sQ65_spl <=> (leq(index(pendack,host(X0)),host(sK8_skl))|~setIn(X0,alive)|~elem(m_Halt(X0),queue(host(X1)))|~index(status,host(X0))=elec_2))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f949,plain,(
% 18.77/3.15 ![X0,X1]: (leq(index(pendack,host(X0)),host(sK8_skl))|~setIn(X0,alive)|~elem(m_Halt(X0),queue(host(X1)))|~index(status,host(X0))=elec_2|~sQ65_spl)),
% 18.77/3.15 inference(component_clause,[status(thm)],[f948])).
% 18.77/3.15 fof(f951,plain,(
% 18.77/3.15 sQ65_spl|~sQ45_spl|~sQ46_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f943,f948,f801,f804])).
% 18.77/3.15 fof(f960,plain,(
% 18.77/3.15 ~host(sK8_skl)=host(sK8_skl)|sQ45_spl),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f247,f803])).
% 18.77/3.15 fof(f961,plain,(
% 18.77/3.15 $false|sQ45_spl),
% 18.77/3.15 inference(trivial_equality_resolution,[status(thm)],[f960])).
% 18.77/3.15 fof(f962,plain,(
% 18.77/3.15 sQ45_spl),
% 18.77/3.15 inference(contradiction_clause,[status(thm)],[f961])).
% 18.77/3.15 fof(f1112,plain,(
% 18.77/3.15 elem(m_Halt(sK5_skl),queue(host(sK4_skl)))),
% 18.77/3.15 inference(paramodulation,[status(thm)],[f234,f256])).
% 18.77/3.15 fof(f1132,plain,(
% 18.77/3.15 m_Down(sK10_skl)=m_Ack(sK5_skl,sK4_skl)|elem(m_Down(sK10_skl),queue(host(sK5_skl)))),
% 18.77/3.15 inference(resolution,[status(thm)],[f266,f145])).
% 18.77/3.15 fof(f1138,definition,(
% 18.77/3.15 sQ95_spl <=> (m_Down(sK10_skl)=m_Ack(sK5_skl,sK4_skl))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1139,plain,(
% 18.77/3.15 m_Down(sK10_skl)=m_Ack(sK5_skl,sK4_skl)|~sQ95_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1138])).
% 18.77/3.15 fof(f1141,definition,(
% 18.77/3.15 sQ96_spl <=> (elem(m_Down(sK10_skl),queue(host(sK5_skl))))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1142,plain,(
% 18.77/3.15 elem(m_Down(sK10_skl),queue(host(sK5_skl)))|~sQ96_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1141])).
% 18.77/3.15 fof(f1144,plain,(
% 18.77/3.15 sQ95_spl|sQ96_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f1132,f1138,f1141])).
% 18.77/3.15 fof(f1158,plain,(
% 18.77/3.15 $false|~sQ95_spl),
% 18.77/3.15 inference(forward_subsumption_resolution,[status(thm)],[f1139,f84])).
% 18.77/3.15 fof(f1159,plain,(
% 18.77/3.15 ~sQ95_spl),
% 18.77/3.15 inference(contradiction_clause,[status(thm)],[f1158])).
% 18.77/3.15 fof(f1166,plain,(
% 18.77/3.15 m_Ack(sK9_skl,sK11_skl)=m_Ack(sK5_skl,sK4_skl)|elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK5_skl)))),
% 18.77/3.15 inference(resolution,[status(thm)],[f267,f145])).
% 18.77/3.15 fof(f1171,definition,(
% 18.77/3.15 sQ100_spl <=> (m_Ack(sK9_skl,sK11_skl)=m_Ack(sK5_skl,sK4_skl))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1172,plain,(
% 18.77/3.15 m_Ack(sK9_skl,sK11_skl)=m_Ack(sK5_skl,sK4_skl)|~sQ100_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1171])).
% 18.77/3.15 fof(f1174,definition,(
% 18.77/3.15 sQ101_spl <=> (elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK5_skl))))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1175,plain,(
% 18.77/3.15 elem(m_Ack(sK9_skl,sK11_skl),queue(host(sK5_skl)))|~sQ101_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1174])).
% 18.77/3.15 fof(f1177,plain,(
% 18.77/3.15 sQ100_spl|sQ101_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f1166,f1171,f1174])).
% 18.77/3.15 fof(f1241,definition,(
% 18.77/3.15 sQ109_spl <=> (setIn(sK5_skl,alive))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1243,plain,(
% 18.77/3.15 ~setIn(sK5_skl,alive)|sQ109_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1241])).
% 18.77/3.15 fof(f1244,definition,(
% 18.77/3.15 sQ110_spl <=> (index(status,host(sK5_skl))=elec_2)),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1246,plain,(
% 18.77/3.15 ~index(status,host(sK5_skl))=elec_2|sQ110_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1244])).
% 18.77/3.15 fof(f1252,plain,(
% 18.77/3.15 ~elec_2=elec_2|sQ110_spl),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f268,f1246])).
% 18.77/3.15 fof(f1253,plain,(
% 18.77/3.15 $false|sQ110_spl),
% 18.77/3.15 inference(trivial_equality_resolution,[status(thm)],[f1252])).
% 18.77/3.15 fof(f1254,plain,(
% 18.77/3.15 sQ110_spl),
% 18.77/3.15 inference(contradiction_clause,[status(thm)],[f1253])).
% 18.77/3.15 fof(f1263,plain,(
% 18.77/3.15 ![X0,X1]: (~setIn(sK9_skl,alive)|~elem(m_Ack(sK9_skl,X0),queue(host(sK9_skl)))|~elem(m_Down(X1),queue(host(sK9_skl)))|~leq(nbr_proc,s(index(pendack,host(sK5_skl))))|~index(status,host(sK9_skl))=elec_2|~host(X0)=index(pendack,host(sK9_skl))|~host(X1)=s(index(pendack,host(sK9_skl)))|~sQ0_spl)),
% 18.77/3.15 inference(paramodulation,[status(thm)],[f237,f250])).
% 18.77/3.15 fof(f1277,definition,(
% 18.77/3.15 ![X1]: (sQ116_spl <=> (~elem(m_Down(X1),queue(host(sK9_skl)))|~host(X1)=s(index(pendack,host(sK9_skl)))))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1278,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Down(X0),queue(host(sK9_skl)))|~host(X0)=s(index(pendack,host(sK9_skl)))|~sQ116_spl)),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1277])).
% 18.77/3.15 fof(f1291,definition,(
% 18.77/3.15 ![X0]: (sQ120_spl <=> (~elem(m_Ack(sK9_skl,X0),queue(host(sK9_skl)))|~host(X0)=index(pendack,host(sK9_skl))))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1292,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Ack(sK9_skl,X0),queue(host(sK9_skl)))|~host(X0)=index(pendack,host(sK9_skl))|~sQ120_spl)),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1291])).
% 18.77/3.15 fof(f1312,definition,(
% 18.77/3.15 sQ126_spl <=> (leq(nbr_proc,s(index(pendack,host(sK5_skl)))))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1314,plain,(
% 18.77/3.15 ~leq(nbr_proc,s(index(pendack,host(sK5_skl))))|sQ126_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1312])).
% 18.77/3.15 fof(f1315,plain,(
% 18.77/3.15 ~sQ10_spl|sQ120_spl|sQ116_spl|~sQ126_spl|~sQ30_spl|~sQ0_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f1263,f336,f1291,f1277,f1312,f556,f249])).
% 18.77/3.15 fof(f1316,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Down(X0),queue(host(sK5_skl)))|~host(X0)=s(index(pendack,host(sK9_skl)))|~sQ116_spl)),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f237,f1278])).
% 18.77/3.15 fof(f1317,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Down(X0),queue(host(sK5_skl)))|~host(X0)=s(index(pendack,host(sK5_skl)))|~sQ116_spl)),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f237,f1316])).
% 18.77/3.15 fof(f1318,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Down(X0),queue(host(sK5_skl)))|~host(X0)=s(host(sK11_skl))|~sQ116_spl)),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f270,f1317])).
% 18.77/3.15 fof(f1319,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Down(X0),queue(host(sK5_skl)))|~host(X0)=nbr_proc|~sQ21_spl|~sQ116_spl)),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f493,f1318])).
% 18.77/3.15 fof(f1320,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Ack(sK9_skl,X0),queue(host(sK5_skl)))|~host(X0)=index(pendack,host(sK9_skl))|~sQ120_spl)),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f237,f1292])).
% 18.77/3.15 fof(f1321,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Ack(sK9_skl,X0),queue(host(sK5_skl)))|~host(X0)=index(pendack,host(sK5_skl))|~sQ120_spl)),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f237,f1320])).
% 18.77/3.15 fof(f1322,plain,(
% 18.77/3.15 ![X0]: (~elem(m_Ack(sK9_skl,X0),queue(host(sK5_skl)))|~host(X0)=host(sK11_skl)|~sQ120_spl)),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f270,f1321])).
% 18.77/3.15 fof(f1338,plain,(
% 18.77/3.15 sK4_skl=sK8_skl|~host(sK4_skl)=host(sK8_skl)),
% 18.77/3.15 inference(resolution,[status(thm)],[f300,f235])).
% 18.77/3.15 fof(f1347,definition,(
% 18.77/3.15 sQ129_spl <=> (sK4_skl=sK8_skl)),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1348,plain,(
% 18.77/3.15 sK4_skl=sK8_skl|~sQ129_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1347])).
% 18.77/3.15 fof(f1350,definition,(
% 18.77/3.15 sQ130_spl <=> (host(sK4_skl)=host(sK8_skl))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1353,plain,(
% 18.77/3.15 sQ129_spl|~sQ130_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f1338,f1347,f1350])).
% 18.77/3.15 fof(f1358,plain,(
% 18.77/3.15 ~host(sK4_skl)=host(sK4_skl)|~sQ129_spl),
% 18.77/3.15 inference(backward_demodulation,[status(thm)],[f1348,f236])).
% 18.77/3.15 fof(f1849,definition,(
% 18.77/3.15 sQ152_spl <=> (leq(nbr_proc,nbr_proc))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f1851,plain,(
% 18.77/3.15 ~leq(nbr_proc,nbr_proc)|sQ152_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f1849])).
% 18.77/3.15 fof(f3751,plain,(
% 18.77/3.15 ~leq(nbr_proc,s(host(sK11_skl)))|sQ126_spl),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f270,f1314])).
% 18.77/3.15 fof(f3752,plain,(
% 18.77/3.15 ~leq(nbr_proc,nbr_proc)|~sQ21_spl|sQ126_spl),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f493,f3751])).
% 18.77/3.15 fof(f3753,plain,(
% 18.77/3.15 $false|~sQ21_spl|sQ126_spl),
% 18.77/3.15 inference(forward_subsumption_resolution,[status(thm)],[f3752,f192])).
% 18.77/3.15 fof(f3754,plain,(
% 18.77/3.15 ~sQ21_spl|sQ126_spl),
% 18.77/3.15 inference(contradiction_clause,[status(thm)],[f3753])).
% 18.77/3.15 fof(f5060,plain,(
% 18.77/3.15 $false|sQ152_spl),
% 18.77/3.15 inference(forward_subsumption_resolution,[status(thm)],[f1851,f192])).
% 18.77/3.15 fof(f5061,plain,(
% 18.77/3.15 sQ152_spl),
% 18.77/3.15 inference(contradiction_clause,[status(thm)],[f5060])).
% 18.77/3.15 fof(f5280,plain,(
% 18.77/3.15 sK11_skl=sK4_skl|~sQ100_spl),
% 18.77/3.15 inference(resolution,[status(thm)],[f1172,f123])).
% 18.77/3.15 fof(f5281,plain,(
% 18.77/3.15 sK9_skl=sK5_skl|~sQ100_spl),
% 18.77/3.15 inference(resolution,[status(thm)],[f1172,f120])).
% 18.77/3.15 fof(f5303,plain,(
% 18.77/3.15 ![X0]: (leq(X0,host(sK4_skl))|~leq(s(X0),nbr_proc)|~sQ100_spl|~sQ21_spl)),
% 18.77/3.15 inference(backward_demodulation,[status(thm)],[f5280,f738])).
% 18.77/3.15 fof(f5305,plain,(
% 18.77/3.15 nbr_proc=s(host(sK4_skl))|~sQ100_spl|~sQ21_spl),
% 18.77/3.15 inference(backward_demodulation,[status(thm)],[f5280,f493])).
% 18.77/3.15 fof(f5329,plain,(
% 18.77/3.15 setIn(sK5_skl,alive)|~sQ100_spl),
% 18.77/3.15 inference(backward_demodulation,[status(thm)],[f5281,f239])).
% 18.77/3.15 fof(f5365,plain,(
% 18.77/3.15 $false|sQ109_spl|~sQ100_spl),
% 18.77/3.15 inference(forward_subsumption_resolution,[status(thm)],[f5329,f1243])).
% 18.77/3.15 fof(f5366,plain,(
% 18.77/3.15 sQ109_spl|~sQ100_spl),
% 18.77/3.15 inference(contradiction_clause,[status(thm)],[f5365])).
% 18.77/3.15 fof(f5491,plain,(
% 18.77/3.15 ~setIn(sK5_skl,alive)|~host(sK10_skl)=host(sK8_skl)|~sQ96_spl|~sQ44_spl),
% 18.77/3.15 inference(resolution,[status(thm)],[f1142,f799])).
% 18.77/3.15 fof(f5510,definition,(
% 18.77/3.15 sQ246_spl <=> (host(sK10_skl)=host(sK8_skl))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f5512,plain,(
% 18.77/3.15 ~host(sK10_skl)=host(sK8_skl)|sQ246_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f5510])).
% 18.77/3.15 fof(f5513,plain,(
% 18.77/3.15 ~sQ109_spl|~sQ246_spl|~sQ96_spl|~sQ44_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f5491,f1241,f5510,f1141,f798])).
% 18.77/3.15 fof(f6570,plain,(
% 18.77/3.15 ~host(sK10_skl)=nbr_proc|~sQ21_spl|~sQ116_spl|~sQ96_spl),
% 18.77/3.15 inference(resolution,[status(thm)],[f1319,f1142])).
% 18.77/3.15 fof(f6571,plain,(
% 18.77/3.15 ~nbr_proc=nbr_proc|~sQ21_spl|~sQ116_spl|~sQ96_spl),
% 18.77/3.15 inference(forward_demodulation,[status(thm)],[f478,f6570])).
% 18.77/3.15 fof(f6572,plain,(
% 18.77/3.15 $false|~sQ21_spl|~sQ116_spl|~sQ96_spl),
% 18.77/3.15 inference(trivial_equality_resolution,[status(thm)],[f6571])).
% 18.77/3.15 fof(f6573,plain,(
% 18.77/3.15 ~sQ21_spl|~sQ116_spl|~sQ96_spl),
% 18.77/3.15 inference(contradiction_clause,[status(thm)],[f6572])).
% 18.77/3.15 fof(f6674,plain,(
% 18.77/3.15 ~index(ldr,host(sK8_skl))=host(sK8_skl)|~index(status,host(sK8_skl))=norm|~sQ1_spl),
% 18.77/3.15 inference(resolution,[status(thm)],[f253,f246])).
% 18.77/3.15 fof(f6677,plain,(
% 18.77/3.15 ~sQ45_spl|~sQ46_spl|~sQ1_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f6674,f801,f804,f252])).
% 18.77/3.15 fof(f7111,plain,(
% 18.77/3.15 leq(index(pendack,host(sK5_skl)),host(sK8_skl))|~setIn(sK5_skl,alive)|~index(status,host(sK5_skl))=elec_2|~sQ65_spl),
% 18.77/3.15 inference(resolution,[status(thm)],[f1112,f949])).
% 18.77/3.15 fof(f7121,definition,(
% 18.77/3.15 sQ329_spl <=> (leq(index(pendack,host(sK5_skl)),host(sK8_skl)))),
% 18.77/3.15 introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition])).
% 18.77/3.15 fof(f7122,plain,(
% 18.77/3.15 leq(index(pendack,host(sK5_skl)),host(sK8_skl))|~sQ329_spl),
% 18.77/3.15 inference(component_clause,[status(thm)],[f7121])).
% 18.77/3.15 fof(f7124,plain,(
% 18.77/3.15 sQ329_spl|~sQ109_spl|~sQ110_spl|~sQ65_spl),
% 18.77/3.15 inference(split_clause,[status(thm)],[f7111,f7121,f1241,f1244,f948])).
% 18.77/3.15 fof(f7152,plain,(
% 18.77/3.15 leq(host(sK11_skl),host(sK8_skl))|~sQ329_spl),
% 18.77/3.16 inference(forward_demodulation,[status(thm)],[f270,f7122])).
% 18.77/3.16 fof(f7846,plain,(
% 18.77/3.16 ~host(sK11_skl)=host(sK11_skl)|~sQ120_spl|~sQ101_spl),
% 18.77/3.16 inference(resolution,[status(thm)],[f1322,f1175])).
% 18.77/3.16 fof(f7847,plain,(
% 18.77/3.16 $false|~sQ120_spl|~sQ101_spl),
% 18.77/3.16 inference(trivial_equality_resolution,[status(thm)],[f7846])).
% 18.77/3.16 fof(f7848,plain,(
% 18.77/3.16 ~sQ120_spl|~sQ101_spl),
% 18.77/3.16 inference(contradiction_clause,[status(thm)],[f7847])).
% 18.77/3.16 fof(f7858,plain,(
% 18.77/3.16 ~nbr_proc=host(sK8_skl)|~sQ21_spl|sQ246_spl),
% 18.77/3.16 inference(forward_demodulation,[status(thm)],[f478,f5512])).
% 18.77/3.16 fof(f7880,plain,(
% 18.77/3.16 leq(host(sK4_skl),host(sK8_skl))|~sQ100_spl|~sQ329_spl),
% 18.77/3.16 inference(backward_demodulation,[status(thm)],[f5280,f7152])).
% 18.77/3.16 fof(f8647,plain,(
% 18.77/3.16 leq(s(host(sK4_skl)),s(host(sK8_skl)))|~sQ100_spl|~sQ329_spl),
% 18.77/3.16 inference(resolution,[status(thm)],[f7880,f204])).
% 18.77/3.16 fof(f8651,plain,(
% 18.77/3.16 ~leq(host(sK8_skl),host(sK4_skl))|host(sK8_skl)=host(sK4_skl)|~sQ100_spl|~sQ329_spl),
% 18.77/3.16 inference(resolution,[status(thm)],[f7880,f196])).
% 18.77/3.16 fof(f8653,plain,(
% 18.77/3.16 leq(nbr_proc,s(host(sK8_skl)))|~sQ21_spl|~sQ100_spl|~sQ329_spl),
% 18.77/3.16 inference(forward_demodulation,[status(thm)],[f5305,f8647])).
% 18.77/3.16 fof(f8654,definition,(
% 18.77/3.16 sQ424_spl <=> (leq(host(sK8_skl),host(sK4_skl)))),
% 18.77/3.16 introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition])).
% 18.77/3.16 fof(f8657,plain,(
% 18.77/3.16 ~sQ424_spl|sQ130_spl|~sQ100_spl|~sQ329_spl),
% 18.77/3.16 inference(split_clause,[status(thm)],[f8651,f8654,f1350,f1171,f7121])).
% 18.77/3.16 fof(f8909,plain,(
% 18.77/3.16 nbr_proc=s(host(sK8_skl))|leq(nbr_proc,host(sK8_skl))|~sQ21_spl|~sQ100_spl|~sQ329_spl),
% 18.77/3.16 inference(resolution,[status(thm)],[f8653,f208])).
% 18.77/3.16 fof(f8918,definition,(
% 18.77/3.16 sQ427_spl <=> (nbr_proc=s(host(sK8_skl)))),
% 18.77/3.16 introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition])).
% 18.77/3.16 fof(f8919,plain,(
% 18.77/3.16 nbr_proc=s(host(sK8_skl))|~sQ427_spl),
% 18.77/3.16 inference(component_clause,[status(thm)],[f8918])).
% 18.77/3.16 fof(f8921,definition,(
% 18.77/3.16 sQ428_spl <=> (leq(nbr_proc,host(sK8_skl)))),
% 18.77/3.16 introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition])).
% 18.77/3.16 fof(f8922,plain,(
% 18.77/3.16 leq(nbr_proc,host(sK8_skl))|~sQ428_spl),
% 18.77/3.16 inference(component_clause,[status(thm)],[f8921])).
% 18.77/3.16 fof(f8924,plain,(
% 18.77/3.16 sQ427_spl|sQ428_spl|~sQ21_spl|~sQ100_spl|~sQ329_spl),
% 18.77/3.16 inference(split_clause,[status(thm)],[f8909,f8918,f8921,f477,f1171,f7121])).
% 18.77/3.16 fof(f9015,plain,(
% 18.77/3.16 leq(host(sK8_skl),host(sK4_skl))|~leq(nbr_proc,nbr_proc)|~sQ100_spl|~sQ21_spl|~sQ427_spl),
% 18.77/3.16 inference(paramodulation,[status(thm)],[f8919,f5303])).
% 18.77/3.16 fof(f9035,plain,(
% 18.77/3.16 sQ424_spl|~sQ152_spl|~sQ100_spl|~sQ21_spl|~sQ427_spl),
% 18.77/3.16 inference(split_clause,[status(thm)],[f9015,f8654,f1849,f1171,f477,f8918])).
% 18.77/3.16 fof(f9042,plain,(
% 18.77/3.16 host(sK8_skl)=nbr_proc|~sQ428_spl),
% 18.77/3.16 inference(resolution,[status(thm)],[f8922,f454])).
% 18.77/3.16 fof(f9055,plain,(
% 18.77/3.16 $false|~sQ21_spl|sQ246_spl|~sQ428_spl),
% 18.77/3.16 inference(forward_subsumption_resolution,[status(thm)],[f9042,f7858])).
% 18.77/3.16 fof(f9056,plain,(
% 18.77/3.16 ~sQ21_spl|sQ246_spl|~sQ428_spl),
% 18.77/3.16 inference(contradiction_clause,[status(thm)],[f9055])).
% 18.77/3.16 fof(f9057,plain,(
% 18.77/3.16 $false|~sQ129_spl),
% 18.77/3.16 inference(trivial_equality_resolution,[status(thm)],[f1358])).
% 18.77/3.16 fof(f9058,plain,(
% 18.77/3.16 ~sQ129_spl),
% 18.77/3.16 inference(contradiction_clause,[status(thm)],[f9057])).
% 18.77/3.16 fof(f9059,plain,(
% 18.77/3.16 $false),
% 18.77/3.16 inference(sat_refutation,[status(thm)],[f255,f344,f480,f491,f687,f807,f843,f951,f962,f1144,f1159,f1177,f1254,f1315,f1353,f3754,f5061,f5366,f5513,f6573,f6677,f7124,f7848,f8657,f8924,f9035,f9056,f9058])).
% 18.77/3.16 % SZS output end CNFRefutation for theBenchmark.p
% 18.77/3.17 % Elapsed time: 2.788213 seconds
% 18.77/3.17 % CPU time: 21.699020 seconds
% 18.77/3.17 % Total memory used: 216.754 MB
% 18.77/3.17 % Net memory used: 195.348 MB
%------------------------------------------------------------------------------