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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV456+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 : n018.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 02:50:53 PM UTC 2026

% Result   : Theorem 46.00s 6.31s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV456+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n018.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 21 08:54:28 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.38  % Drodi V4.1.1
% 46.00/6.31  % Refutation found
% 46.00/6.31  % SZS status Theorem for theBenchmark: Theorem is valid
% 46.00/6.31  % SZS output start CNFRefutation for theBenchmark
% 46.00/6.31  fof(f47,axiom,(
% 46.00/6.31    (! [X,Y,Q] :( elem(X,cons(Y,Q))<=> ( X = Y| elem(X,Q) ) ) )),
% 46.00/6.31    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.00/6.31  fof(f67,conjecture,(
% 46.00/6.31    (! [V,W,X,Y] :( ( (! [Z,Pid0] :( elem(m_Down(Pid0),queue(host(Z)))=> ~ setIn(Pid0,alive) ))& (! [Z,Pid0] :( elem(m_Down(Pid0),queue(host(Z)))=> host(Pid0) != host(Z) ))& (! [Z,Pid0] :( elem(m_Halt(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid20,Pid0] :( elem(m_Ack(Pid0,Z),queue(host(Pid20)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid0] :( ( ~ setIn(Z,alive)& leq(Pid0,Z)& host(Pid0) = host(Z) )=> ~ setIn(Pid0,alive) ))& (! [Z,Pid0] :( ( Pid0 != Z& host(Pid0) = host(Z) )=> ( ~ setIn(Z,alive)| ~ setIn(Pid0,alive) ) ))& (! [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))) ) ))& 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] :( host(X) = host(Z)=> leq(Z,W) ))& ~ setIn(W,pids)& host(X) = host(W) )=> ( host(W) != s(zero)=> (! [Z] :( host(X) = host(Z)=> (! [X0,Y0] :( host(W) != host(Y0)=> ( host(X) != host(Y0)=> (! [Z0] :( ( ( ( Z != X& setIn(Z,alive) )| Z = W )& ( ( Y0 != X& setIn(Y0,alive) )| Y0 = W )& host(Y0) != host(Z)& host(X0) = host(Z)& host(Z0) = host(Y0) )=> ~ ( elem(m_Down(Z0),V)& setIn(host(X0),index(down,host(Y0))) ) ) )) ) )) )) ) ) ) ) ) )),
% 46.00/6.31    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 46.00/6.31  fof(f68,negated_conjecture,(
% 46.00/6.31    ~((! [V,W,X,Y] :( ( (! [Z,Pid0] :( elem(m_Down(Pid0),queue(host(Z)))=> ~ setIn(Pid0,alive) ))& (! [Z,Pid0] :( elem(m_Down(Pid0),queue(host(Z)))=> host(Pid0) != host(Z) ))& (! [Z,Pid0] :( elem(m_Halt(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid20,Pid0] :( elem(m_Ack(Pid0,Z),queue(host(Pid20)))=> ~ leq(host(Z),host(Pid0)) ))& (! [Z,Pid0] :( ( ~ setIn(Z,alive)& leq(Pid0,Z)& host(Pid0) = host(Z) )=> ~ setIn(Pid0,alive) ))& (! [Z,Pid0] :( ( Pid0 != Z& host(Pid0) = host(Z) )=> ( ~ setIn(Z,alive)| ~ setIn(Pid0,alive) ) ))& (! [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))) ) ))& 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] :( host(X) = host(Z)=> leq(Z,W) ))& ~ setIn(W,pids)& host(X) = host(W) )=> ( host(W) != s(zero)=> (! [Z] :( host(X) = host(Z)=> (! [X0,Y0] :( host(W) != host(Y0)=> ( host(X) != host(Y0)=> (! [Z0] :( ( ( ( Z != X& setIn(Z,alive) )| Z = W )& ( ( Y0 != X& setIn(Y0,alive) )| Y0 = W )& host(Y0) != host(Z)& host(X0) = host(Z)& host(Z0) = host(Y0) )=> ~ ( elem(m_Down(Z0),V)& setIn(host(X0),index(down,host(Y0))) ) ) )) ) )) )) ) ) ) ) ) ))),
% 46.00/6.31    inference(negated_conjecture,[status(cth)],[f67])).
% 46.00/6.31  fof(f138,plain,(
% 46.00/6.31    ![X,Y,Q]: ((~elem(X,cons(Y,Q))|(X=Y|elem(X,Q)))&(elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 46.00/6.31    inference(NNF_transformation,[status(thm)],[f47])).
% 46.00/6.31  fof(f139,plain,(
% 46.00/6.31    (![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))))),
% 46.00/6.31    inference(miniscoping,[status(thm)],[f138])).
% 46.00/6.31  fof(f142,plain,(
% 46.00/6.31    ![X0,X1,X2]: (elem(X0,cons(X1,X2))|~elem(X0,X2))),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f139])).
% 46.00/6.31  fof(f212,plain,(
% 46.00/6.31    (?[V,W,X,Y]: ((((((((((![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~setIn(Pid0,alive)))&(![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~host(Pid0)=host(Z))))&(![Z,Pid0]: (~elem(m_Halt(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid20,Pid0]: (~elem(m_Ack(Pid0,Z),queue(host(Pid20)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: (((setIn(Z,alive)|~leq(Pid0,Z))|~host(Pid0)=host(Z))|~setIn(Pid0,alive))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![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)))))))&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]: (~host(X)=host(Z)|leq(Z,W)))&~setIn(W,pids))&host(X)=host(W))&(~host(W)=s(zero)&(?[Z]: (host(X)=host(Z)&(?[X0,Y0]: (~host(W)=host(Y0)&(~host(X)=host(Y0)&(?[Z0]: (((((((~Z=X&setIn(Z,alive))|Z=W)&((~Y0=X&setIn(Y0,alive))|Y0=W))&~host(Y0)=host(Z))&host(X0)=host(Z))&host(Z0)=host(Y0))&(elem(m_Down(Z0),V)&setIn(host(X0),index(down,host(Y0))))))))))))))))))),
% 46.00/6.31    inference(pre_NNF_transformation,[status(thm)],[f68])).
% 46.00/6.31  fof(f213,definition,(
% 46.00/6.31    ![X,Y]: (sP0_prd(Y,X)<=>(index(ldr,host(X))=host(Y)&index(status,host(X))=norm))),
% 46.00/6.31    introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 46.00/6.31  fof(f214,plain,(
% 46.00/6.31    ?[V,W,X,Y]: ((((((((((![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~setIn(Pid0,alive)))&(![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~host(Pid0)=host(Z))))&(![Z,Pid0]: (~elem(m_Halt(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid20,Pid0]: (~elem(m_Ack(Pid0,Z),queue(host(Pid20)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: (((setIn(Z,alive)|~leq(Pid0,Z))|~host(Pid0)=host(Z))|~setIn(Pid0,alive))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![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)))))))&queue(host(X))=cons(m_Down(Y),V))&(setIn(X,alive)&(~leq(host(X),host(Y))&((sP0_prd(Y,X)|(index(status,host(X))=wait&host(Y)=host(index(elid,host(X)))))&((((![Z]: (~host(X)=host(Z)|leq(Z,W)))&~setIn(W,pids))&host(X)=host(W))&(~host(W)=s(zero)&(?[Z]: (host(X)=host(Z)&(?[X0,Y0]: (~host(W)=host(Y0)&(~host(X)=host(Y0)&(?[Z0]: (((((((~Z=X&setIn(Z,alive))|Z=W)&((~Y0=X&setIn(Y0,alive))|Y0=W))&~host(Y0)=host(Z))&host(X0)=host(Z))&host(Z0)=host(Y0))&(elem(m_Down(Z0),V)&setIn(host(X0),index(down,host(Y0)))))))))))))))))),
% 46.00/6.31    inference(formula_renaming,[status(thm)],[f212,f213])).
% 46.00/6.31  fof(f215,plain,(
% 46.00/6.31    ?[V,X,Y]: ((((((((((![Pid0]: ((![Z]: ~elem(m_Down(Pid0),queue(host(Z))))|~setIn(Pid0,alive)))&(![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~host(Pid0)=host(Z))))&(![Z,Pid0]: (~elem(m_Halt(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: ((![Pid20]: ~elem(m_Ack(Pid0,Z),queue(host(Pid20))))|~leq(host(Z),host(Pid0)))))&(![Pid0]: ((![Z]: ((setIn(Z,alive)|~leq(Pid0,Z))|~host(Pid0)=host(Z)))|~setIn(Pid0,alive))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![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)))))))&queue(host(X))=cons(m_Down(Y),V))&(setIn(X,alive)&(~leq(host(X),host(Y))&((sP0_prd(Y,X)|(index(status,host(X))=wait&host(Y)=host(index(elid,host(X)))))&(?[W]: ((((![Z]: (~host(X)=host(Z)|leq(Z,W)))&~setIn(W,pids))&host(X)=host(W))&(~host(W)=s(zero)&(?[Z]: (host(X)=host(Z)&(?[Y0]: (~host(W)=host(Y0)&(~host(X)=host(Y0)&(?[X0,Z0]: (((((((~Z=X&setIn(Z,alive))|Z=W)&((~Y0=X&setIn(Y0,alive))|Y0=W))&~host(Y0)=host(Z))&host(X0)=host(Z))&host(Z0)=host(Y0))&(elem(m_Down(Z0),V)&setIn(host(X0),index(down,host(Y0))))))))))))))))))),
% 46.00/6.31    inference(miniscoping,[status(thm)],[f214])).
% 46.00/6.31  fof(f216,plain,(
% 46.00/6.31    ((((((((((![Pid0]: ((![Z]: ~elem(m_Down(Pid0),queue(host(Z))))|~setIn(Pid0,alive)))&(![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~host(Pid0)=host(Z))))&(![Z,Pid0]: (~elem(m_Halt(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![Z,Pid0]: ((![Pid20]: ~elem(m_Ack(Pid0,Z),queue(host(Pid20))))|~leq(host(Z),host(Pid0)))))&(![Pid0]: ((![Z]: ((setIn(Z,alive)|~leq(Pid0,Z))|~host(Pid0)=host(Z)))|~setIn(Pid0,alive))))&(![Z,Pid0]: ((Pid0=Z|~host(Pid0)=host(Z))|(~setIn(Z,alive)|~setIn(Pid0,alive)))))&(![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)))))))&queue(host(sK5_skl))=cons(m_Down(sK6_skl),sK4_skl))&(setIn(sK5_skl,alive)&(~leq(host(sK5_skl),host(sK6_skl))&((sP0_prd(sK6_skl,sK5_skl)|(index(status,host(sK5_skl))=wait&host(sK6_skl)=host(index(elid,host(sK5_skl)))))&((((![Z]: (~host(sK5_skl)=host(Z)|leq(Z,sK7_skl)))&~setIn(sK7_skl,pids))&host(sK5_skl)=host(sK7_skl))&(~host(sK7_skl)=s(zero)&(host(sK5_skl)=host(sK8_skl)&(~host(sK7_skl)=host(sK9_skl)&(~host(sK5_skl)=host(sK9_skl)&(((((((~sK8_skl=sK5_skl&setIn(sK8_skl,alive))|sK8_skl=sK7_skl)&((~sK9_skl=sK5_skl&setIn(sK9_skl,alive))|sK9_skl=sK7_skl))&~host(sK9_skl)=host(sK8_skl))&host(sK10_skl)=host(sK8_skl))&host(sK11_skl)=host(sK9_skl))&(elem(m_Down(sK11_skl),sK4_skl)&setIn(host(sK10_skl),index(down,host(sK9_skl))))))))))))))),
% 46.00/6.31    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(V,sK4_skl),skolemize(X,sK5_skl),skolemize(Y,sK6_skl),skolemize(W,sK7_skl),skolemize(Z,sK8_skl),skolemize(Y0,sK9_skl),skolemize(X0,sK10_skl),skolemize(Z0,sK11_skl)],[f215])).
% 46.00/6.31  fof(f221,plain,(
% 46.00/6.31    ![X0,X1]: (setIn(X0,alive)|~leq(X1,X0)|~host(X1)=host(X0)|~setIn(X1,alive))),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f222,plain,(
% 46.00/6.31    ![X0,X1]: (X0=X1|~host(X0)=host(X1)|~setIn(X1,alive)|~setIn(X0,alive))),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f224,plain,(
% 46.00/6.31    ![X0,X1,X2,X3]: (host(X0)=host(X1)|~setIn(X1,alive)|~setIn(X0,alive)|~host(X2)=host(X1)|~host(X3)=host(X0)|~elem(m_Down(X3),queue(host(X1)))|~setIn(host(X2),index(down,host(X0))))),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f225,plain,(
% 46.00/6.31    queue(host(sK5_skl))=cons(m_Down(sK6_skl),sK4_skl)),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f226,plain,(
% 46.00/6.31    setIn(sK5_skl,alive)),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f230,plain,(
% 46.00/6.31    ![X0]: (~host(sK5_skl)=host(X0)|leq(X0,sK7_skl))),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f232,plain,(
% 46.00/6.31    host(sK5_skl)=host(sK7_skl)),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f234,plain,(
% 46.00/6.31    host(sK5_skl)=host(sK8_skl)),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f235,plain,(
% 46.00/6.31    ~host(sK7_skl)=host(sK9_skl)),
% 46.00/6.31    inference(cnf_transformation,[status(thm)],[f216])).
% 46.00/6.31  fof(f240,plain,(
% 46.00/6.31    setIn(sK9_skl,alive)|sK9_skl=sK7_skl),
% 37.75/6.36    inference(cnf_transformation,[status(thm)],[f216])).
% 37.75/6.36  fof(f242,plain,(
% 37.75/6.36    host(sK10_skl)=host(sK8_skl)),
% 37.75/6.36    inference(cnf_transformation,[status(thm)],[f216])).
% 37.75/6.36  fof(f243,plain,(
% 37.75/6.36    host(sK11_skl)=host(sK9_skl)),
% 37.75/6.36    inference(cnf_transformation,[status(thm)],[f216])).
% 37.75/6.36  fof(f244,plain,(
% 37.75/6.36    elem(m_Down(sK11_skl),sK4_skl)),
% 37.75/6.36    inference(cnf_transformation,[status(thm)],[f216])).
% 37.75/6.36  fof(f245,plain,(
% 37.75/6.36    setIn(host(sK10_skl),index(down,host(sK9_skl)))),
% 37.75/6.36    inference(cnf_transformation,[status(thm)],[f216])).
% 37.75/6.36  fof(f276,plain,(
% 37.75/6.36    ![X0]: (X0=sK5_skl|~host(X0)=host(sK5_skl)|~setIn(X0,alive))),
% 37.75/6.36    inference(resolution,[status(thm)],[f222,f226])).
% 37.75/6.36  fof(f364,plain,(
% 37.75/6.36    ~host(sK5_skl)=host(sK9_skl)),
% 37.75/6.36    inference(forward_demodulation,[status(thm)],[f232,f235])).
% 37.75/6.36  fof(f508,plain,(
% 37.75/6.36    leq(sK5_skl,sK7_skl)),
% 37.75/6.36    inference(equality_resolution,[status(thm)],[f230])).
% 37.75/6.36  fof(f550,plain,(
% 37.75/6.36    setIn(sK7_skl,alive)|~host(sK5_skl)=host(sK7_skl)|~setIn(sK5_skl,alive)),
% 37.75/6.36    inference(resolution,[status(thm)],[f508,f221])).
% 37.75/6.36  fof(f551,plain,(
% 37.75/6.36    setIn(sK7_skl,alive)|~host(sK5_skl)=host(sK5_skl)|~setIn(sK5_skl,alive)),
% 37.75/6.36    inference(forward_demodulation,[status(thm)],[f232,f550])).
% 37.75/6.36  fof(f552,plain,(
% 37.75/6.36    setIn(sK7_skl,alive)|~setIn(sK5_skl,alive)),
% 37.75/6.36    inference(trivial_equality_resolution,[status(thm)],[f551])).
% 37.75/6.36  fof(f553,plain,(
% 37.75/6.36    setIn(sK7_skl,alive)),
% 37.75/6.36    inference(forward_subsumption_resolution,[status(thm)],[f552,f226])).
% 37.75/6.36  fof(f559,plain,(
% 37.75/6.36    host(sK10_skl)=host(sK5_skl)),
% 37.75/6.36    inference(forward_demodulation,[status(thm)],[f234,f242])).
% 37.75/6.36  fof(f654,plain,(
% 37.75/6.36    ![X0]: (elem(m_Down(sK11_skl),cons(X0,sK4_skl)))),
% 37.75/6.36    inference(resolution,[status(thm)],[f244,f142])).
% 37.75/6.36  fof(f674,plain,(
% 37.75/6.36    setIn(host(sK5_skl),index(down,host(sK9_skl)))),
% 37.75/6.36    inference(forward_demodulation,[status(thm)],[f559,f245])).
% 37.75/6.36  fof(f675,plain,(
% 37.75/6.36    ![X0,X1]: (host(sK9_skl)=host(X0)|~setIn(X0,alive)|~setIn(sK9_skl,alive)|~host(sK5_skl)=host(X0)|~host(X1)=host(sK9_skl)|~elem(m_Down(X1),queue(host(X0))))),
% 37.75/6.36    inference(resolution,[status(thm)],[f674,f224])).
% 37.75/6.36  fof(f728,plain,(
% 37.75/6.36    sK7_skl=sK5_skl|~host(sK7_skl)=host(sK5_skl)),
% 37.75/6.36    inference(resolution,[status(thm)],[f276,f553])).
% 37.75/6.36  fof(f732,plain,(
% 37.75/6.36    sK7_skl=sK5_skl|~host(sK5_skl)=host(sK5_skl)),
% 37.75/6.36    inference(forward_demodulation,[status(thm)],[f232,f728])).
% 37.75/6.36  fof(f733,plain,(
% 37.75/6.36    sK7_skl=sK5_skl),
% 37.75/6.36    inference(trivial_equality_resolution,[status(thm)],[f732])).
% 37.75/6.36  fof(f750,plain,(
% 37.75/6.36    setIn(sK9_skl,alive)|sK9_skl=sK5_skl),
% 37.75/6.36    inference(backward_demodulation,[status(thm)],[f733,f240])).
% 37.75/6.36  fof(f1909,plain,(
% 37.75/6.36    elem(m_Down(sK11_skl),queue(host(sK5_skl)))),
% 37.75/6.36    inference(paramodulation,[status(thm)],[f225,f654])).
% 37.75/6.36  fof(f5425,plain,(
% 37.75/6.36    host(sK9_skl)=host(sK5_skl)|~setIn(sK5_skl,alive)|~setIn(sK9_skl,alive)|~host(sK5_skl)=host(sK5_skl)|~host(sK11_skl)=host(sK9_skl)),
% 37.75/6.36    inference(resolution,[status(thm)],[f1909,f675])).
% 37.75/6.36  fof(f5452,plain,(
% 37.75/6.36    host(sK9_skl)=host(sK5_skl)|~setIn(sK5_skl,alive)|~setIn(sK9_skl,alive)|~host(sK5_skl)=host(sK5_skl)|~host(sK9_skl)=host(sK9_skl)),
% 37.75/6.36    inference(forward_demodulation,[status(thm)],[f243,f5425])).
% 37.75/6.36  fof(f5453,plain,(
% 37.75/6.36    host(sK9_skl)=host(sK5_skl)|~setIn(sK5_skl,alive)|~setIn(sK9_skl,alive)),
% 37.75/6.36    inference(trivial_equality_resolution,[status(thm)],[f5452])).
% 37.75/6.36  fof(f5454,plain,(
% 37.75/6.36    ~setIn(sK5_skl,alive)|~setIn(sK9_skl,alive)),
% 37.75/6.36    inference(forward_subsumption_resolution,[status(thm)],[f5453,f364])).
% 37.75/6.36  fof(f8998,plain,(
% 37.75/6.36    sK9_skl=sK5_skl),
% 37.75/6.36    inference(backward_subsumption_resolution,[status(thm)],[f750,f8999])).
% 37.75/6.36  fof(f8999,plain,(
% 37.75/6.36    ~setIn(sK9_skl,alive)),
% 37.75/6.36    inference(forward_subsumption_resolution,[status(thm)],[f5454,f226])).
% 37.75/6.36  fof(f9000,plain,(
% 37.75/6.36    ~setIn(sK5_skl,alive)),
% 37.75/6.36    inference(backward_demodulation,[status(thm)],[f8998,f8999])).
% 37.75/6.36  fof(f9013,plain,(
% 37.75/6.36    $false),
% 37.75/6.36    inference(forward_subsumption_resolution,[status(thm)],[f9000,f226])).
% 37.75/6.36  % SZS output end CNFRefutation for theBenchmark.p
% 37.75/6.38  % Elapsed time: 6.003760 seconds
% 37.75/6.38  % CPU time: 47.086143 seconds
% 37.75/6.38  % Total memory used: 274.999 MB
% 37.75/6.38  % Net memory used: 242.306 MB
%------------------------------------------------------------------------------