TSTP Solution File: SWV459+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV459+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:41:45 EDT 2023

% Result   : Theorem 1.29s 0.54s
% Output   : CNFRefutation 1.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV459+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 11:31:37 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.5.1
% 1.29/0.54  % Refutation found
% 1.29/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.29/0.54  % SZS output start CNFRefutation for theBenchmark
% 1.29/0.54  fof(f47,axiom,(
% 1.29/0.54    (! [X,Y,Q] :( elem(X,cons(Y,Q))<=> ( X = Y| elem(X,Q) ) ) )),
% 1.29/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.54  fof(f60,axiom,(
% 1.29/0.54    (! [X] : leq(X,X) )),
% 1.29/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.54  fof(f61,axiom,(
% 1.29/0.54    (! [X,Y] :( leq(X,Y)| leq(Y,X) ) )),
% 1.29/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.54  fof(f62,axiom,(
% 1.29/0.54    (! [X,Y] :( ( leq(X,Y)& leq(Y,X) )<=> X = Y ) )),
% 1.29/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.54  fof(f65,axiom,(
% 1.29/0.54    (! [X,Y] :( leq(X,s(Y))<=> ( X = s(Y)| leq(X,Y) ) ) )),
% 1.29/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.54  fof(f67,conjecture,(
% 1.29/0.54    (! [V,W,X,Y] :( ( (! [Z] : leq(index(pendack,host(Z)),nbr_proc))& (! [Z,Pid0] :( elem(m_Down(Pid0),queue(host(Z)))=> ~ setIn(Pid0,alive) ))& (! [Z,Pid0] :( elem(m_Ldr(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [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] :( ( ( index(status,host(Z)) = elec_1| index(status,host(Z)) = elec_2 )& setIn(Z,alive) )=> index(elid,host(Z)) = Z ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid20) = host(Z) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,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,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] :( ( setIn(Z,alive)& setIn(Pid0,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid0) )=> Pid0 = Z ))& (! [Z,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] :( ( ~ leq(index(pendack,host(Pid0)),host(Z))& setIn(Pid0,alive)& elem(m_Halt(Pid0),queue(host(Pid20)))& 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] :( host(X) != host(Z)=> (! [W0] :( s(host(X)) != host(W0)=> ( host(X) != host(W0)=> (! [X0] :( host(X) = host(X0)=> ( ( ~ leq(s(host(X)),host(Z))& setIn(X0,alive)& elem(m_Halt(X0),queue(host(W0))) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ) ) )) ) )) )) ) ) ) ) ) )),
% 1.29/0.54    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.29/0.54  fof(f68,negated_conjecture,(
% 1.29/0.54    ~((! [V,W,X,Y] :( ( (! [Z] : leq(index(pendack,host(Z)),nbr_proc))& (! [Z,Pid0] :( elem(m_Down(Pid0),queue(host(Z)))=> ~ setIn(Pid0,alive) ))& (! [Z,Pid0] :( elem(m_Ldr(Pid0),queue(host(Z)))=> ~ leq(host(Z),host(Pid0)) ))& (! [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] :( ( ( index(status,host(Z)) = elec_1| index(status,host(Z)) = elec_2 )& setIn(Z,alive) )=> index(elid,host(Z)) = Z ))& (! [Z,Pid20,Pid0] :( ( setIn(Pid0,alive)& elem(m_Down(Pid20),queue(host(Pid0)))& host(Pid20) = host(Z) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ))& (! [Z,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,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] :( ( setIn(Z,alive)& setIn(Pid0,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm& index(status,host(Pid0)) = norm& index(ldr,host(Pid0)) = host(Pid0) )=> Pid0 = Z ))& (! [Z,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] :( ( ~ leq(index(pendack,host(Pid0)),host(Z))& setIn(Pid0,alive)& elem(m_Halt(Pid0),queue(host(Pid20)))& 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] :( host(X) != host(Z)=> (! [W0] :( s(host(X)) != host(W0)=> ( host(X) != host(W0)=> (! [X0] :( host(X) = host(X0)=> ( ( ~ leq(s(host(X)),host(Z))& setIn(X0,alive)& elem(m_Halt(X0),queue(host(W0))) )=> ~ ( setIn(Z,alive)& index(ldr,host(Z)) = host(Z)& index(status,host(Z)) = norm ) ) ) )) ) )) )) ) ) ) ) ) ))),
% 1.29/0.54    inference(negated_conjecture,[status(cth)],[f67])).
% 1.29/0.54  fof(f138,plain,(
% 1.29/0.54    ![X,Y,Q]: ((~elem(X,cons(Y,Q))|(X=Y|elem(X,Q)))&(elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 1.29/0.54    inference(NNF_transformation,[status(esa)],[f47])).
% 1.29/0.54  fof(f139,plain,(
% 1.29/0.54    (![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))))),
% 1.29/0.54    inference(miniscoping,[status(esa)],[f138])).
% 1.29/0.54  fof(f141,plain,(
% 1.29/0.54    ![X0,X1,X2]: (elem(X0,cons(X1,X2))|~X0=X1)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f139])).
% 1.29/0.54  fof(f192,plain,(
% 1.29/0.54    ![X0]: (leq(X0,X0))),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f60])).
% 1.29/0.54  fof(f193,plain,(
% 1.29/0.54    ![X0,X1]: (leq(X0,X1)|leq(X1,X0))),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f61])).
% 1.29/0.54  fof(f194,plain,(
% 1.29/0.54    ![X,Y]: (((~leq(X,Y)|~leq(Y,X))|X=Y)&((leq(X,Y)&leq(Y,X))|~X=Y))),
% 1.29/0.54    inference(NNF_transformation,[status(esa)],[f62])).
% 1.29/0.54  fof(f195,plain,(
% 1.29/0.54    (![X,Y]: ((~leq(X,Y)|~leq(Y,X))|X=Y))&(![X,Y]: ((leq(X,Y)&leq(Y,X))|~X=Y))),
% 1.29/0.54    inference(miniscoping,[status(esa)],[f194])).
% 1.29/0.54  fof(f196,plain,(
% 1.29/0.54    ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f195])).
% 1.29/0.54  fof(f206,plain,(
% 1.29/0.54    ![X,Y]: ((~leq(X,s(Y))|(X=s(Y)|leq(X,Y)))&(leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 1.29/0.54    inference(NNF_transformation,[status(esa)],[f65])).
% 1.29/0.54  fof(f207,plain,(
% 1.29/0.54    (![X,Y]: (~leq(X,s(Y))|(X=s(Y)|leq(X,Y))))&(![X,Y]: (leq(X,s(Y))|(~X=s(Y)&~leq(X,Y))))),
% 1.29/0.54    inference(miniscoping,[status(esa)],[f206])).
% 1.29/0.54  fof(f208,plain,(
% 1.29/0.54    ![X0,X1]: (~leq(X0,s(X1))|X0=s(X1)|leq(X0,X1))),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f207])).
% 1.29/0.54  fof(f212,plain,(
% 1.29/0.54    (?[V,W,X,Y]: ((((((((((((((((((![Z]: leq(index(pendack,host(Z)),nbr_proc))&(![Z,Pid0]: (~elem(m_Down(Pid0),queue(host(Z)))|~setIn(Pid0,alive))))&(![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![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]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z,Pid20,Pid0]: (((~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0))))|~host(Pid20)=host(Z))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,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,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]: ((((((~setIn(Z,alive)|~setIn(Pid0,alive))|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|Pid0=Z)))&(![Z,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]: ((((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|~elem(m_Halt(Pid0),queue(host(Pid20))))|~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]: (~host(X)=host(Z)&(?[W0]: (~s(host(X))=host(W0)&(~host(X)=host(W0)&(?[X0]: (host(X)=host(X0)&(((~leq(s(host(X)),host(Z))&setIn(X0,alive))&elem(m_Halt(X0),queue(host(W0))))&((setIn(Z,alive)&index(ldr,host(Z))=host(Z))&index(status,host(Z))=norm))))))))))))))))),
% 1.29/0.54    inference(pre_NNF_transformation,[status(esa)],[f68])).
% 1.29/0.54  fof(f213,plain,(
% 1.29/0.54    ?[X,Y]: ((((((((((((((((((![Z]: leq(index(pendack,host(Z)),nbr_proc))&(![Pid0]: ((![Z]: ~elem(m_Down(Pid0),queue(host(Z))))|~setIn(Pid0,alive))))&(![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![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]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z]: ((![Pid20]: ((![Pid0]: (~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid20)=host(Z)))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,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]: ((![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]: ((((((~setIn(Z,alive)|~setIn(Pid0,alive))|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|Pid0=Z)))&(![Z,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]: (((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|(![Pid20]: ~elem(m_Halt(Pid0),queue(host(Pid20)))))|~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]: (~host(X)=host(Z)&(?[W0]: (~s(host(X))=host(W0)&(~host(X)=host(W0)&(?[X0]: (host(X)=host(X0)&(((~leq(s(host(X)),host(Z))&setIn(X0,alive))&elem(m_Halt(X0),queue(host(W0))))&((setIn(Z,alive)&index(ldr,host(Z))=host(Z))&index(status,host(Z))=norm)))))))))))))))),
% 1.29/0.54    inference(miniscoping,[status(esa)],[f212])).
% 1.29/0.54  fof(f214,plain,(
% 1.29/0.54    ((((((((((((((((((![Z]: leq(index(pendack,host(Z)),nbr_proc))&(![Pid0]: ((![Z]: ~elem(m_Down(Pid0),queue(host(Z))))|~setIn(Pid0,alive))))&(![Z,Pid0]: (~elem(m_Ldr(Pid0),queue(host(Z)))|~leq(host(Z),host(Pid0)))))&(![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]: (((~index(status,host(Z))=elec_1&~index(status,host(Z))=elec_2)|~setIn(Z,alive))|index(elid,host(Z))=Z)))&(![Z]: ((![Pid20]: ((![Pid0]: (~setIn(Pid0,alive)|~elem(m_Down(Pid20),queue(host(Pid0)))))|~host(Pid20)=host(Z)))|((~setIn(Z,alive)|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm))))&(![Z,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]: ((![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]: ((((((~setIn(Z,alive)|~setIn(Pid0,alive))|~index(ldr,host(Z))=host(Z))|~index(status,host(Z))=norm)|~index(status,host(Pid0))=norm)|~index(ldr,host(Pid0))=host(Pid0))|Pid0=Z)))&(![Z,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]: (((leq(index(pendack,host(Pid0)),host(Z))|~setIn(Pid0,alive))|(![Pid20]: ~elem(m_Halt(Pid0),queue(host(Pid20)))))|~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),sk0_6(Pid20,Pid0,Z))&leq(s(zero),sk0_6(Pid20,Pid0,Z)))&(~setIn(sk0_6(Pid20,Pid0,Z),index(down,host(Pid0)))&~sk0_6(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(sk0_4))=cons(m_Down(sk0_5),sk0_7))&(setIn(sk0_4,alive)&(~leq(host(sk0_4),host(sk0_5))&(((~index(ldr,host(sk0_4))=host(sk0_5)|~index(status,host(sk0_4))=norm)&(~index(status,host(sk0_4))=wait|~host(sk0_5)=host(index(elid,host(sk0_4)))))&(((![Z]: ((leq(host(sk0_4),Z)|~leq(s(zero),Z))|(setIn(Z,index(down,host(sk0_4)))|Z=host(sk0_5))))&index(status,host(sk0_4))=elec_1)&(~leq(nbr_proc,host(sk0_4))&(~host(sk0_4)=host(sk0_8)&(~s(host(sk0_4))=host(sk0_9)&(~host(sk0_4)=host(sk0_9)&(host(sk0_4)=host(sk0_10)&(((~leq(s(host(sk0_4)),host(sk0_8))&setIn(sk0_10,alive))&elem(m_Halt(sk0_10),queue(host(sk0_9))))&((setIn(sk0_8,alive)&index(ldr,host(sk0_8))=host(sk0_8))&index(status,host(sk0_8))=norm))))))))))))),
% 1.29/0.54    inference(skolemization,[status(esa)],[f213])).
% 1.29/0.54  fof(f231,plain,(
% 1.29/0.54    ![X0,X1,X2]: (~leq(host(X0),sk0_6(X1,X0,X2))|leq(host(X0),host(X2))|~elem(m_Down(X1),queue(host(X0)))|~index(status,host(X0))=elec_1|~setIn(X2,alive)|~index(ldr,host(X2))=host(X2)|~index(status,host(X2))=norm)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f232,plain,(
% 1.29/0.54    ![X0,X1,X2]: (leq(s(zero),sk0_6(X0,X1,X2))|leq(host(X1),host(X2))|~elem(m_Down(X0),queue(host(X1)))|~index(status,host(X1))=elec_1|~setIn(X2,alive)|~index(ldr,host(X2))=host(X2)|~index(status,host(X2))=norm)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f233,plain,(
% 1.29/0.54    ![X0,X1,X2]: (~setIn(sk0_6(X0,X1,X2),index(down,host(X1)))|leq(host(X1),host(X2))|~elem(m_Down(X0),queue(host(X1)))|~index(status,host(X1))=elec_1|~setIn(X2,alive)|~index(ldr,host(X2))=host(X2)|~index(status,host(X2))=norm)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f234,plain,(
% 1.29/0.54    ![X0,X1,X2]: (~sk0_6(X0,X1,X2)=host(X0)|leq(host(X1),host(X2))|~elem(m_Down(X0),queue(host(X1)))|~index(status,host(X1))=elec_1|~setIn(X2,alive)|~index(ldr,host(X2))=host(X2)|~index(status,host(X2))=norm)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f235,plain,(
% 1.29/0.54    queue(host(sk0_4))=cons(m_Down(sk0_5),sk0_7)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f240,plain,(
% 1.29/0.54    ![X0]: (leq(host(sk0_4),X0)|~leq(s(zero),X0)|setIn(X0,index(down,host(sk0_4)))|X0=host(sk0_5))),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f241,plain,(
% 1.29/0.54    index(status,host(sk0_4))=elec_1),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f243,plain,(
% 1.29/0.54    ~host(sk0_4)=host(sk0_8)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f247,plain,(
% 1.29/0.54    ~leq(s(host(sk0_4)),host(sk0_8))),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f250,plain,(
% 1.29/0.54    setIn(sk0_8,alive)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f251,plain,(
% 1.29/0.54    index(ldr,host(sk0_8))=host(sk0_8)),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f252,plain,(
% 1.29/0.54    index(status,host(sk0_8))=norm),
% 1.29/0.54    inference(cnf_transformation,[status(esa)],[f214])).
% 1.29/0.54  fof(f267,plain,(
% 1.29/0.54    ![X0,X1]: (elem(X0,cons(X0,X1)))),
% 1.29/0.54    inference(destructive_equality_resolution,[status(esa)],[f141])).
% 1.29/0.54  fof(f332,plain,(
% 1.29/0.54    spl0_12 <=> setIn(sk0_8,alive)),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f334,plain,(
% 1.29/0.54    ~setIn(sk0_8,alive)|spl0_12),
% 1.29/0.54    inference(component_clause,[status(thm)],[f332])).
% 1.29/0.54  fof(f335,plain,(
% 1.29/0.54    spl0_13 <=> index(status,host(sk0_8))=norm),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f337,plain,(
% 1.29/0.54    ~index(status,host(sk0_8))=norm|spl0_13),
% 1.29/0.54    inference(component_clause,[status(thm)],[f335])).
% 1.29/0.54  fof(f345,plain,(
% 1.29/0.54    ~norm=norm|spl0_13),
% 1.29/0.54    inference(forward_demodulation,[status(thm)],[f252,f337])).
% 1.29/0.54  fof(f346,plain,(
% 1.29/0.54    $false|spl0_13),
% 1.29/0.54    inference(trivial_equality_resolution,[status(esa)],[f345])).
% 1.29/0.54  fof(f347,plain,(
% 1.29/0.54    spl0_13),
% 1.29/0.54    inference(contradiction_clause,[status(thm)],[f346])).
% 1.29/0.54  fof(f348,plain,(
% 1.29/0.54    $false|spl0_12),
% 1.29/0.54    inference(forward_subsumption_resolution,[status(thm)],[f334,f250])).
% 1.29/0.54  fof(f349,plain,(
% 1.29/0.54    spl0_12),
% 1.29/0.54    inference(contradiction_clause,[status(thm)],[f348])).
% 1.29/0.54  fof(f359,plain,(
% 1.29/0.54    spl0_16 <=> leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|leq(host(sk0_4),sk0_6(X1,sk0_4,X0))|~leq(s(zero),sk0_6(X1,sk0_4,X0))|sk0_6(X1,sk0_4,X0)=host(sk0_5)),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f360,plain,(
% 1.29/0.54    ![X0,X1]: (leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|leq(host(sk0_4),sk0_6(X1,sk0_4,X0))|~leq(s(zero),sk0_6(X1,sk0_4,X0))|sk0_6(X1,sk0_4,X0)=host(sk0_5)|~spl0_16)),
% 1.29/0.54    inference(component_clause,[status(thm)],[f359])).
% 1.29/0.54  fof(f362,plain,(
% 1.29/0.54    spl0_17 <=> index(status,host(sk0_4))=elec_1),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f364,plain,(
% 1.29/0.54    ~index(status,host(sk0_4))=elec_1|spl0_17),
% 1.29/0.54    inference(component_clause,[status(thm)],[f362])).
% 1.29/0.54  fof(f365,plain,(
% 1.29/0.54    ![X0,X1]: (leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~index(status,host(sk0_4))=elec_1|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|leq(host(sk0_4),sk0_6(X1,sk0_4,X0))|~leq(s(zero),sk0_6(X1,sk0_4,X0))|sk0_6(X1,sk0_4,X0)=host(sk0_5))),
% 1.29/0.54    inference(resolution,[status(thm)],[f233,f240])).
% 1.29/0.54  fof(f366,plain,(
% 1.29/0.54    spl0_16|~spl0_17),
% 1.29/0.54    inference(split_clause,[status(thm)],[f365,f359,f362])).
% 1.29/0.54  fof(f367,plain,(
% 1.29/0.54    ~elec_1=elec_1|spl0_17),
% 1.29/0.54    inference(forward_demodulation,[status(thm)],[f241,f364])).
% 1.29/0.54  fof(f368,plain,(
% 1.29/0.54    $false|spl0_17),
% 1.29/0.54    inference(trivial_equality_resolution,[status(esa)],[f367])).
% 1.29/0.54  fof(f369,plain,(
% 1.29/0.54    spl0_17),
% 1.29/0.54    inference(contradiction_clause,[status(thm)],[f368])).
% 1.29/0.54  fof(f370,plain,(
% 1.29/0.54    elem(m_Down(sk0_5),queue(host(sk0_4)))),
% 1.29/0.54    inference(paramodulation,[status(thm)],[f235,f267])).
% 1.29/0.54  fof(f372,plain,(
% 1.29/0.54    leq(host(sk0_8),s(host(sk0_4)))),
% 1.29/0.54    inference(resolution,[status(thm)],[f193,f247])).
% 1.29/0.54  fof(f452,plain,(
% 1.29/0.54    spl0_22 <=> leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|leq(host(sk0_4),sk0_6(X1,sk0_4,X0))|sk0_6(X1,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f453,plain,(
% 1.29/0.54    ![X0,X1]: (leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|leq(host(sk0_4),sk0_6(X1,sk0_4,X0))|sk0_6(X1,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|~spl0_22)),
% 1.29/0.54    inference(component_clause,[status(thm)],[f452])).
% 1.29/0.54  fof(f455,plain,(
% 1.29/0.54    ![X0,X1]: (leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|leq(host(sk0_4),sk0_6(X1,sk0_4,X0))|sk0_6(X1,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~index(status,host(sk0_4))=elec_1|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|~spl0_16)),
% 1.29/0.54    inference(resolution,[status(thm)],[f360,f232])).
% 1.29/0.54  fof(f456,plain,(
% 1.29/0.54    spl0_22|~spl0_17|~spl0_16),
% 1.29/0.54    inference(split_clause,[status(thm)],[f455,f452,f362,f359])).
% 1.29/0.54  fof(f458,plain,(
% 1.29/0.54    ![X0,X1]: (leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|leq(host(sk0_4),sk0_6(X1,sk0_4,X0))|sk0_6(X1,sk0_4,X0)=host(sk0_5)|~spl0_22)),
% 1.29/0.54    inference(duplicate_literals_removal,[status(esa)],[f453])).
% 1.29/0.54  fof(f459,plain,(
% 1.29/0.54    spl0_23 <=> leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|sk0_6(X1,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f460,plain,(
% 1.29/0.54    ![X0,X1]: (leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|sk0_6(X1,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|~spl0_23)),
% 1.29/0.54    inference(component_clause,[status(thm)],[f459])).
% 1.29/0.54  fof(f462,plain,(
% 1.29/0.54    ![X0,X1]: (leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|sk0_6(X1,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~index(status,host(sk0_4))=elec_1|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|~spl0_22)),
% 1.29/0.54    inference(resolution,[status(thm)],[f458,f231])).
% 1.29/0.54  fof(f463,plain,(
% 1.29/0.54    spl0_23|~spl0_17|~spl0_22),
% 1.29/0.54    inference(split_clause,[status(thm)],[f462,f459,f362,f452])).
% 1.29/0.54  fof(f464,plain,(
% 1.29/0.54    ![X0,X1]: (leq(host(sk0_4),host(X0))|~elem(m_Down(X1),queue(host(sk0_4)))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|sk0_6(X1,sk0_4,X0)=host(sk0_5)|~spl0_23)),
% 1.29/0.54    inference(duplicate_literals_removal,[status(esa)],[f460])).
% 1.29/0.54  fof(f465,plain,(
% 1.29/0.54    ![X0]: (leq(host(sk0_4),host(X0))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|sk0_6(sk0_5,sk0_4,X0)=host(sk0_5)|~spl0_23)),
% 1.29/0.54    inference(resolution,[status(thm)],[f370,f464])).
% 1.29/0.54  fof(f466,plain,(
% 1.29/0.54    spl0_24 <=> ~sk0_6(sk0_5,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f467,plain,(
% 1.29/0.54    ![X0]: (~sk0_6(sk0_5,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|~spl0_24)),
% 1.29/0.54    inference(component_clause,[status(thm)],[f466])).
% 1.29/0.54  fof(f469,plain,(
% 1.29/0.54    ![X0]: (~sk0_6(sk0_5,sk0_4,X0)=host(sk0_5)|leq(host(sk0_4),host(X0))|~index(status,host(sk0_4))=elec_1|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm)),
% 1.29/0.54    inference(resolution,[status(thm)],[f370,f234])).
% 1.29/0.54  fof(f470,plain,(
% 1.29/0.54    spl0_24|~spl0_17),
% 1.29/0.54    inference(split_clause,[status(thm)],[f469,f466,f362])).
% 1.29/0.54  fof(f477,plain,(
% 1.29/0.54    ![X0]: (leq(host(sk0_4),host(X0))|~setIn(X0,alive)|~index(ldr,host(X0))=host(X0)|~index(status,host(X0))=norm|~spl0_23|~spl0_24)),
% 1.29/0.54    inference(forward_subsumption_resolution,[status(thm)],[f467,f465])).
% 1.29/0.54  fof(f485,plain,(
% 1.29/0.54    spl0_27 <=> leq(host(sk0_4),host(sk0_8))),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f486,plain,(
% 1.29/0.54    leq(host(sk0_4),host(sk0_8))|~spl0_27),
% 1.29/0.54    inference(component_clause,[status(thm)],[f485])).
% 1.29/0.54  fof(f488,plain,(
% 1.29/0.54    leq(host(sk0_4),host(sk0_8))|~setIn(sk0_8,alive)|~index(status,host(sk0_8))=norm|~spl0_23|~spl0_24),
% 1.29/0.54    inference(resolution,[status(thm)],[f477,f251])).
% 1.29/0.54  fof(f489,plain,(
% 1.29/0.54    spl0_27|~spl0_12|~spl0_13|~spl0_23|~spl0_24),
% 1.29/0.54    inference(split_clause,[status(thm)],[f488,f485,f332,f335,f459,f466])).
% 1.29/0.54  fof(f581,plain,(
% 1.29/0.54    spl0_33 <=> s(host(sk0_4))=host(sk0_8)),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f582,plain,(
% 1.29/0.54    s(host(sk0_4))=host(sk0_8)|~spl0_33),
% 1.29/0.54    inference(component_clause,[status(thm)],[f581])).
% 1.29/0.54  fof(f594,plain,(
% 1.29/0.54    spl0_36 <=> leq(host(sk0_8),host(sk0_4))),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f597,plain,(
% 1.29/0.54    spl0_37 <=> host(sk0_8)=host(sk0_4)),
% 1.29/0.54    introduced(split_symbol_definition)).
% 1.29/0.54  fof(f598,plain,(
% 1.29/0.54    host(sk0_8)=host(sk0_4)|~spl0_37),
% 1.29/0.54    inference(component_clause,[status(thm)],[f597])).
% 1.50/0.55  fof(f600,plain,(
% 1.50/0.55    ~leq(host(sk0_8),host(sk0_4))|host(sk0_8)=host(sk0_4)|~spl0_27),
% 1.50/0.55    inference(resolution,[status(thm)],[f196,f486])).
% 1.50/0.55  fof(f601,plain,(
% 1.50/0.55    ~spl0_36|spl0_37|~spl0_27),
% 1.50/0.55    inference(split_clause,[status(thm)],[f600,f594,f597,f485])).
% 1.50/0.55  fof(f1814,plain,(
% 1.50/0.55    host(sk0_8)=s(host(sk0_4))|leq(host(sk0_8),host(sk0_4))),
% 1.50/0.55    inference(resolution,[status(thm)],[f208,f372])).
% 1.50/0.55  fof(f1815,plain,(
% 1.50/0.55    spl0_33|spl0_36),
% 1.50/0.55    inference(split_clause,[status(thm)],[f1814,f581,f594])).
% 1.50/0.55  fof(f1855,plain,(
% 1.50/0.55    ~leq(host(sk0_8),host(sk0_8))|~spl0_33),
% 1.50/0.55    inference(backward_demodulation,[status(thm)],[f582,f247])).
% 1.50/0.55  fof(f1856,plain,(
% 1.50/0.55    $false|~spl0_33),
% 1.50/0.55    inference(forward_subsumption_resolution,[status(thm)],[f1855,f192])).
% 1.50/0.55  fof(f1857,plain,(
% 1.50/0.55    ~spl0_33),
% 1.50/0.55    inference(contradiction_clause,[status(thm)],[f1856])).
% 1.50/0.55  fof(f1862,plain,(
% 1.50/0.55    $false|~spl0_37),
% 1.50/0.55    inference(forward_subsumption_resolution,[status(thm)],[f598,f243])).
% 1.50/0.55  fof(f1863,plain,(
% 1.50/0.55    ~spl0_37),
% 1.50/0.55    inference(contradiction_clause,[status(thm)],[f1862])).
% 1.50/0.55  fof(f1864,plain,(
% 1.50/0.55    $false),
% 1.50/0.55    inference(sat_refutation,[status(thm)],[f347,f349,f366,f369,f456,f463,f470,f489,f601,f1815,f1857,f1863])).
% 1.50/0.55  % SZS output end CNFRefutation for theBenchmark.p
% 1.50/0.56  % Elapsed time: 0.207312 seconds
% 1.50/0.56  % CPU time: 1.495381 seconds
% 1.50/0.56  % Memory used: 77.367 MB
%------------------------------------------------------------------------------