TSTP Solution File: SWV449+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 : Tue Apr 30 20:47:07 EDT 2024
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n024.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 00:34:21 EDT 2024
% 0.14/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.35 fof(f16,axiom,(
% 0.14/0.35 (! [X,Y,Z] : m_Ack(X,Y) != m_NormQ(Z) )),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f19,axiom,(
% 0.14/0.35 (! [X,Y] : m_Down(X) != m_Ldr(Y) )),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f42,axiom,(
% 0.14/0.35 (! [X,Q] : q_nil != cons(X,Q) )),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f47,axiom,(
% 0.14/0.35 (! [X,Y,Q] :( elem(X,cons(Y,Q))<=> ( X = Y| elem(X,Q) ) ) )),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f48,axiom,(
% 0.14/0.35 (! [X,Y,Q] :( elem(X,snoc(Q,Y))<=> ( X = Y| elem(X,Q) ) ) )),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f53,axiom,(
% 0.14/0.35 (! [X] :( ordered(cons(X,q_nil))& ordered(snoc(q_nil,X)) ) )),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f67,conjecture,(
% 0.14/0.35 (! [V,W,X,Y] :( ( (! [Z,Pid0] :( setIn(Pid0,alive)=> ~ elem(m_Down(Pid0),queue(host(Z))) ))& (! [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))) ) ))& queue(host(X)) = cons(m_Ack(W,Y),V) )=> ( setIn(X,alive)=> ( ( index(elid,host(X)) = W& index(status,host(X)) = elec_2& host(Y) = index(pendack,host(X)) )=> ( leq(nbr_proc,index(pendack,host(X)))=> (! [Z] :( ( setIn(host(Z),index(acks,host(X)))| host(Z) = host(Y) )=> (! [V0] :( host(Z) = host(V0)=> ( host(X) = host(V0)=> (! [W0,X0] :( host(Z) != host(X0)=> ( host(X) != host(X0)=> (! [Y0] :( ( host(X0) != host(V0)& setIn(V0,alive)& setIn(X0,alive)& host(W0) = host(V0)& host(Y0) = host(X0) )=> ~ ( elem(m_Down(W0),queue(host(X0)))& elem(m_Down(Y0),snoc(V,m_Ldr(X))) ) ) )) ) )) ) )) )) ) ) ) )),
% 0.14/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f68,negated_conjecture,(
% 0.14/0.35 ~((! [V,W,X,Y] :( ( (! [Z,Pid0] :( setIn(Pid0,alive)=> ~ elem(m_Down(Pid0),queue(host(Z))) ))& (! [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))) ) ))& queue(host(X)) = cons(m_Ack(W,Y),V) )=> ( setIn(X,alive)=> ( ( index(elid,host(X)) = W& index(status,host(X)) = elec_2& host(Y) = index(pendack,host(X)) )=> ( leq(nbr_proc,index(pendack,host(X)))=> (! [Z] :( ( setIn(host(Z),index(acks,host(X)))| host(Z) = host(Y) )=> (! [V0] :( host(Z) = host(V0)=> ( host(X) = host(V0)=> (! [W0,X0] :( host(Z) != host(X0)=> ( host(X) != host(X0)=> (! [Y0] :( ( host(X0) != host(V0)& setIn(V0,alive)& setIn(X0,alive)& host(W0) = host(V0)& host(Y0) = host(X0) )=> ~ ( elem(m_Down(W0),queue(host(X0)))& elem(m_Down(Y0),snoc(V,m_Ldr(X))) ) ) )) ) )) ) )) )) ) ) ) ))),
% 0.14/0.35 inference(negated_conjecture,[status(cth)],[f67])).
% 0.14/0.35 fof(f87,plain,(
% 0.14/0.35 ![X0,X1,X2]: (~m_Ack(X0,X1)=m_NormQ(X2))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.35 fof(f90,plain,(
% 0.14/0.35 ![X0,X1]: (~m_Down(X0)=m_Ldr(X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.36 fof(f133,plain,(
% 0.14/0.36 ![X0,X1]: (~q_nil=cons(X0,X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.36 fof(f138,plain,(
% 0.14/0.36 ![X,Y,Q]: ((~elem(X,cons(Y,Q))|(X=Y|elem(X,Q)))&(elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f47])).
% 0.14/0.36 fof(f139,plain,(
% 0.14/0.36 (![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))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f138])).
% 0.14/0.36 fof(f142,plain,(
% 0.14/0.36 ![X0,X1,X2]: (elem(X0,cons(X1,X2))|~elem(X0,X2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f139])).
% 0.14/0.36 fof(f143,plain,(
% 0.14/0.36 ![X,Y,Q]: ((~elem(X,snoc(Q,Y))|(X=Y|elem(X,Q)))&(elem(X,snoc(Q,Y))|(~X=Y&~elem(X,Q))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f48])).
% 0.14/0.36 fof(f144,plain,(
% 0.14/0.36 (![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))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f143])).
% 0.14/0.36 fof(f145,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~elem(X0,snoc(X1,X2))|X0=X2|elem(X0,X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f144])).
% 0.14/0.36 fof(f157,plain,(
% 0.14/0.36 (![X]: ordered(cons(X,q_nil)))&(![X]: ordered(snoc(q_nil,X)))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f53])).
% 0.14/0.36 fof(f158,plain,(
% 0.14/0.36 ![X0]: (ordered(cons(X0,q_nil)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f157])).
% 0.14/0.36 fof(f212,plain,(
% 0.14/0.36 (?[V,W,X,Y]: ((((((((((![Z,Pid0]: (~setIn(Pid0,alive)|~elem(m_Down(Pid0),queue(host(Z)))))&(![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)))))))&queue(host(X))=cons(m_Ack(W,Y),V))&(setIn(X,alive)&(((index(elid,host(X))=W&index(status,host(X))=elec_2)&host(Y)=index(pendack,host(X)))&(leq(nbr_proc,index(pendack,host(X)))&(?[Z]: ((setIn(host(Z),index(acks,host(X)))|host(Z)=host(Y))&(?[V0]: (host(Z)=host(V0)&(host(X)=host(V0)&(?[W0,X0]: (~host(Z)=host(X0)&(~host(X)=host(X0)&(?[Y0]: (((((~host(X0)=host(V0)&setIn(V0,alive))&setIn(X0,alive))&host(W0)=host(V0))&host(Y0)=host(X0))&(elem(m_Down(W0),queue(host(X0)))&elem(m_Down(Y0),snoc(V,m_Ldr(X)))))))))))))))))))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.14/0.36 fof(f213,plain,(
% 0.14/0.36 ?[V,W,X,Y]: ((((((((((![Pid0]: (~setIn(Pid0,alive)|(![Z]: ~elem(m_Down(Pid0),queue(host(Z))))))&(![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)))))))&queue(host(X))=cons(m_Ack(W,Y),V))&(setIn(X,alive)&(((index(elid,host(X))=W&index(status,host(X))=elec_2)&host(Y)=index(pendack,host(X)))&(leq(nbr_proc,index(pendack,host(X)))&(?[Z]: ((setIn(host(Z),index(acks,host(X)))|host(Z)=host(Y))&(?[V0]: (host(Z)=host(V0)&(host(X)=host(V0)&(?[X0]: (~host(Z)=host(X0)&(~host(X)=host(X0)&(?[W0,Y0]: (((((~host(X0)=host(V0)&setIn(V0,alive))&setIn(X0,alive))&host(W0)=host(V0))&host(Y0)=host(X0))&(elem(m_Down(W0),queue(host(X0)))&elem(m_Down(Y0),snoc(V,m_Ldr(X))))))))))))))))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f212])).
% 0.14/0.36 fof(f214,plain,(
% 0.14/0.36 ((((((((((![Pid0]: (~setIn(Pid0,alive)|(![Z]: ~elem(m_Down(Pid0),queue(host(Z))))))&(![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)))))))&queue(host(sk0_6))=cons(m_Ack(sk0_5,sk0_7),sk0_4))&(setIn(sk0_6,alive)&(((index(elid,host(sk0_6))=sk0_5&index(status,host(sk0_6))=elec_2)&host(sk0_7)=index(pendack,host(sk0_6)))&(leq(nbr_proc,index(pendack,host(sk0_6)))&((setIn(host(sk0_8),index(acks,host(sk0_6)))|host(sk0_8)=host(sk0_7))&(host(sk0_8)=host(sk0_9)&(host(sk0_6)=host(sk0_9)&(~host(sk0_8)=host(sk0_10)&(~host(sk0_6)=host(sk0_10)&(((((~host(sk0_10)=host(sk0_9)&setIn(sk0_9,alive))&setIn(sk0_10,alive))&host(sk0_11)=host(sk0_9))&host(sk0_12)=host(sk0_10))&(elem(m_Down(sk0_11),queue(host(sk0_10)))&elem(m_Down(sk0_12),snoc(sk0_4,m_Ldr(sk0_6))))))))))))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f213])).
% 0.14/0.36 fof(f222,plain,(
% 0.14/0.36 ![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)))|~elem(m_Down(X2),queue(host(X0))))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f223,plain,(
% 0.14/0.36 queue(host(sk0_6))=cons(m_Ack(sk0_5,sk0_7),sk0_4)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f224,plain,(
% 0.14/0.36 setIn(sk0_6,alive)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f230,plain,(
% 0.14/0.36 host(sk0_8)=host(sk0_9)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f231,plain,(
% 0.14/0.36 host(sk0_6)=host(sk0_9)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f232,plain,(
% 0.14/0.36 ~host(sk0_8)=host(sk0_10)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f236,plain,(
% 0.14/0.36 setIn(sk0_10,alive)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f237,plain,(
% 0.14/0.36 host(sk0_11)=host(sk0_9)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f238,plain,(
% 0.14/0.36 host(sk0_12)=host(sk0_10)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f239,plain,(
% 0.14/0.36 elem(m_Down(sk0_11),queue(host(sk0_10)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f240,plain,(
% 0.14/0.36 elem(m_Down(sk0_12),snoc(sk0_4,m_Ldr(sk0_6)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f214])).
% 0.14/0.36 fof(f255,plain,(
% 0.14/0.36 host(sk0_6)=host(sk0_8)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f230,f231])).
% 0.14/0.36 fof(f256,plain,(
% 0.14/0.36 host(sk0_6)=host(sk0_9)),
% 0.14/0.36 inference(backward_demodulation,[status(thm)],[f255,f230])).
% 0.14/0.36 fof(f271,plain,(
% 0.14/0.36 ~host(sk0_6)=host(sk0_10)),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f255,f232])).
% 0.14/0.36 fof(f299,plain,(
% 0.14/0.36 host(sk0_11)=host(sk0_6)),
% 0.14/0.36 inference(backward_demodulation,[status(thm)],[f256,f237])).
% 0.14/0.36 fof(f367,plain,(
% 0.14/0.36 spl0_16 <=> host(sk0_6)=host(sk0_10)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f368,plain,(
% 0.14/0.36 host(sk0_6)=host(sk0_10)|~spl0_16),
% 0.14/0.36 inference(component_clause,[status(thm)],[f367])).
% 0.14/0.36 fof(f388,plain,(
% 0.14/0.36 spl0_20 <=> host(sk0_6)=host(sk0_6)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f390,plain,(
% 0.14/0.36 ~host(sk0_6)=host(sk0_6)|spl0_20),
% 0.14/0.36 inference(component_clause,[status(thm)],[f388])).
% 0.14/0.36 fof(f393,plain,(
% 0.14/0.36 $false|spl0_20),
% 0.14/0.36 inference(trivial_equality_resolution,[status(esa)],[f390])).
% 0.14/0.36 fof(f394,plain,(
% 0.14/0.36 spl0_20),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f393])).
% 0.14/0.36 fof(f413,plain,(
% 0.14/0.36 ![X0,X1,X2]: (host(X0)=host(sk0_10)|~setIn(X0,alive)|~host(X1)=host(sk0_10)|~host(X2)=host(X0)|~elem(m_Down(X2),queue(host(sk0_10)))|~elem(m_Down(X1),queue(host(X0))))),
% 0.14/0.36 inference(resolution,[status(thm)],[f222,f236])).
% 0.14/0.36 fof(f458,plain,(
% 0.14/0.36 ~q_nil=queue(host(sk0_6))),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f223,f133])).
% 0.14/0.36 fof(f521,plain,(
% 0.14/0.36 ![X0,X1]: (host(X0)=host(sk0_10)|~setIn(X0,alive)|~host(X1)=host(sk0_10)|~host(sk0_11)=host(X0)|~elem(m_Down(X1),queue(host(X0))))),
% 0.14/0.36 inference(resolution,[status(thm)],[f413,f239])).
% 0.14/0.36 fof(f522,plain,(
% 0.14/0.36 ![X0,X1]: (host(X0)=host(sk0_10)|~setIn(X0,alive)|~host(X1)=host(sk0_10)|~host(sk0_6)=host(X0)|~elem(m_Down(X1),queue(host(X0))))),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f299,f521])).
% 0.14/0.36 fof(f570,plain,(
% 0.14/0.36 spl0_40 <=> ~host(X0)=host(sk0_10)|~elem(m_Down(X0),queue(host(sk0_6)))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f571,plain,(
% 0.14/0.36 ![X0]: (~host(X0)=host(sk0_10)|~elem(m_Down(X0),queue(host(sk0_6)))|~spl0_40)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f570])).
% 0.14/0.36 fof(f573,plain,(
% 0.14/0.36 ![X0]: (host(sk0_6)=host(sk0_10)|~host(X0)=host(sk0_10)|~host(sk0_6)=host(sk0_6)|~elem(m_Down(X0),queue(host(sk0_6))))),
% 0.14/0.36 inference(resolution,[status(thm)],[f522,f224])).
% 0.14/0.36 fof(f574,plain,(
% 0.14/0.36 spl0_16|spl0_40|~spl0_20),
% 0.14/0.36 inference(split_clause,[status(thm)],[f573,f367,f570,f388])).
% 0.14/0.36 fof(f576,plain,(
% 0.14/0.36 $false|~spl0_16),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f368,f271])).
% 0.14/0.36 fof(f577,plain,(
% 0.14/0.36 ~spl0_16),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f576])).
% 0.14/0.36 fof(f603,plain,(
% 0.14/0.36 ![X0]: (elem(X0,queue(host(sk0_6)))|~elem(X0,sk0_4))),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f223,f142])).
% 0.14/0.36 fof(f632,plain,(
% 0.14/0.36 spl0_42 <=> m_Ack(sk0_5,sk0_7)=X0),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f633,plain,(
% 0.14/0.36 ![X0]: (m_Ack(sk0_5,sk0_7)=X0|~spl0_42)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f632])).
% 0.14/0.36 fof(f645,plain,(
% 0.14/0.36 spl0_45 <=> m_Down(sk0_12)=m_Ldr(sk0_6)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f646,plain,(
% 0.14/0.36 m_Down(sk0_12)=m_Ldr(sk0_6)|~spl0_45),
% 0.14/0.36 inference(component_clause,[status(thm)],[f645])).
% 0.14/0.36 fof(f648,plain,(
% 0.14/0.36 spl0_46 <=> elem(m_Down(sk0_12),sk0_4)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f649,plain,(
% 0.14/0.36 elem(m_Down(sk0_12),sk0_4)|~spl0_46),
% 0.14/0.36 inference(component_clause,[status(thm)],[f648])).
% 0.14/0.36 fof(f651,plain,(
% 0.14/0.36 m_Down(sk0_12)=m_Ldr(sk0_6)|elem(m_Down(sk0_12),sk0_4)),
% 0.14/0.36 inference(resolution,[status(thm)],[f145,f240])).
% 0.14/0.36 fof(f652,plain,(
% 0.14/0.36 spl0_45|spl0_46),
% 0.14/0.36 inference(split_clause,[status(thm)],[f651,f645,f648])).
% 0.14/0.36 fof(f654,plain,(
% 0.14/0.36 $false|~spl0_45),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f646,f90])).
% 0.14/0.36 fof(f655,plain,(
% 0.14/0.36 ~spl0_45),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f654])).
% 0.14/0.36 fof(f722,plain,(
% 0.14/0.36 spl0_53 <=> ~ordered(cons(X0,q_nil))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f723,plain,(
% 0.14/0.36 ![X0]: (~ordered(cons(X0,q_nil))|~spl0_53)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f722])).
% 0.14/0.36 fof(f731,plain,(
% 0.14/0.36 $false|~spl0_53),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f723,f158])).
% 0.14/0.36 fof(f732,plain,(
% 0.14/0.36 ~spl0_53),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f731])).
% 0.14/0.36 fof(f739,plain,(
% 0.14/0.36 spl0_55 <=> queue(host(sk0_6))=q_nil),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f740,plain,(
% 0.14/0.36 queue(host(sk0_6))=q_nil|~spl0_55),
% 0.14/0.36 inference(component_clause,[status(thm)],[f739])).
% 0.14/0.36 fof(f765,plain,(
% 0.14/0.36 $false|~spl0_55),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f740,f458])).
% 0.14/0.36 fof(f766,plain,(
% 0.14/0.36 ~spl0_55),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f765])).
% 0.14/0.36 fof(f783,plain,(
% 0.14/0.36 $false|~spl0_42),
% 0.14/0.36 inference(resolution,[status(thm)],[f633,f87])).
% 0.14/0.36 fof(f784,plain,(
% 0.14/0.36 ~spl0_42),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f783])).
% 0.14/0.36 fof(f953,plain,(
% 0.14/0.36 elem(m_Down(sk0_12),queue(host(sk0_6)))|~spl0_46),
% 0.14/0.36 inference(resolution,[status(thm)],[f603,f649])).
% 0.14/0.36 fof(f1220,plain,(
% 0.14/0.36 ~host(sk0_12)=host(sk0_10)|~spl0_46|~spl0_40),
% 0.14/0.36 inference(resolution,[status(thm)],[f953,f571])).
% 0.14/0.36 fof(f1221,plain,(
% 0.14/0.36 ~host(sk0_10)=host(sk0_10)|~spl0_46|~spl0_40),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f238,f1220])).
% 0.14/0.36 fof(f1222,plain,(
% 0.14/0.36 $false|~spl0_46|~spl0_40),
% 0.14/0.36 inference(trivial_equality_resolution,[status(esa)],[f1221])).
% 0.14/0.36 fof(f1223,plain,(
% 0.14/0.36 ~spl0_46|~spl0_40),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f1222])).
% 0.14/0.36 fof(f1224,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f394,f574,f577,f652,f655,f732,f766,f784,f1223])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37 % Elapsed time: 0.057446 seconds
% 0.14/0.37 % CPU time: 0.267421 seconds
% 0.14/0.37 % Total memory used: 65.084 MB
% 0.14/0.37 % Net memory used: 64.821 MB
%------------------------------------------------------------------------------