%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV455+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 : n006.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 0.21s 5.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV455+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.43 % Computer : n006.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.43 % DateTime : Mon Sep 21 08:52:17 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.45 % Drodi V4.1.1
% 0.21/5.74 % Refutation found
% 0.21/5.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/5.74 % SZS output start CNFRefutation for theBenchmark
% 0.21/5.74 fof(f47,axiom,(
% 0.21/5.74 (! [X,Y,Q] :( elem(X,cons(Y,Q))<=> ( X = Y| elem(X,Q) ) ) )),
% 0.21/5.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.74 fof(f67,conjecture,(
% 0.21/5.74 (! [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_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 )=> (! [Z] :( host(X) != host(Z)=> (! [W0,X0] :( host(X) = host(X0)=> (! [Y0] :( ( host(X0) != host(Z)& setIn(Z,alive)& setIn(X0,alive)& host(W0) = host(Z)& host(Y0) = host(X0) )=> ~ ( elem(m_Down(W0),V)& elem(m_Down(Y0),queue(host(Z))) ) ) )) )) )) ) ) ) ) )),
% 0.21/5.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.74 fof(f68,negated_conjecture,(
% 0.21/5.74 ~((! [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_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 )=> (! [Z] :( host(X) != host(Z)=> (! [W0,X0] :( host(X) = host(X0)=> (! [Y0] :( ( host(X0) != host(Z)& setIn(Z,alive)& setIn(X0,alive)& host(W0) = host(Z)& host(Y0) = host(X0) )=> ~ ( elem(m_Down(W0),V)& elem(m_Down(Y0),queue(host(Z))) ) ) )) )) )) ) ) ) ) ))),
% 0.21/5.74 inference(negated_conjecture,[status(cth)],[f67])).
% 0.21/5.74 fof(f138,plain,(
% 0.21/5.74 ![X,Y,Q]: ((~elem(X,cons(Y,Q))|(X=Y|elem(X,Q)))&(elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 0.21/5.74 inference(NNF_transformation,[status(thm)],[f47])).
% 0.21/5.74 fof(f139,plain,(
% 0.21/5.74 (![X,Y,Q]: (~elem(X,cons(Y,Q))|(X=Y|elem(X,Q))))&(![X,Y,Q]: (elem(X,cons(Y,Q))|(~X=Y&~elem(X,Q))))),
% 0.21/5.74 inference(miniscoping,[status(thm)],[f138])).
% 0.21/5.74 fof(f142,plain,(
% 0.21/5.74 ![X0,X1,X2]: (elem(X0,cons(X1,X2))|~elem(X0,X2))),
% 0.21/5.74 inference(cnf_transformation,[status(thm)],[f139])).
% 0.21/5.74 fof(f212,plain,(
% 0.21/5.74 (?[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_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)&(?[Z]: (~host(X)=host(Z)&(?[W0,X0]: (host(X)=host(X0)&(?[Y0]: (((((~host(X0)=host(Z)&setIn(Z,alive))&setIn(X0,alive))&host(W0)=host(Z))&host(Y0)=host(X0))&(elem(m_Down(W0),V)&elem(m_Down(Y0),queue(host(Z))))))))))))))))),
% 0.21/5.74 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 0.21/5.74 fof(f213,plain,(
% 0.21/5.74 ?[V,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_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)&(?[Z]: (~host(X)=host(Z)&(?[X0]: (host(X)=host(X0)&(?[W0,Y0]: (((((~host(X0)=host(Z)&setIn(Z,alive))&setIn(X0,alive))&host(W0)=host(Z))&host(Y0)=host(X0))&(elem(m_Down(W0),V)&elem(m_Down(Y0),queue(host(Z)))))))))))))))),
% 0.21/5.74 inference(miniscoping,[status(thm)],[f212])).
% 0.21/5.74 fof(f214,plain,(
% 0.21/5.74 ((((((((((![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(sK5_skl))=cons(m_Down(sK6_skl),sK4_skl))&(setIn(sK5_skl,alive)&(~leq(host(sK5_skl),host(sK6_skl))&(((~index(ldr,host(sK5_skl))=host(sK6_skl)|~index(status,host(sK5_skl))=norm)&(~index(status,host(sK5_skl))=wait|~host(sK6_skl)=host(index(elid,host(sK5_skl)))))&((((~leq(host(sK5_skl),sK7_skl)&leq(s(zero),sK7_skl))&(~setIn(sK7_skl,index(down,host(sK5_skl)))&~sK7_skl=host(sK6_skl)))|~index(status,host(sK5_skl))=elec_1)&(~host(sK5_skl)=host(sK8_skl)&(host(sK5_skl)=host(sK9_skl)&(((((~host(sK9_skl)=host(sK8_skl)&setIn(sK8_skl,alive))&setIn(sK9_skl,alive))&host(sK10_skl)=host(sK8_skl))&host(sK11_skl)=host(sK9_skl))&(elem(m_Down(sK10_skl),sK4_skl)&elem(m_Down(sK11_skl),queue(host(sK8_skl))))))))))))),
% 0.21/5.74 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(Z,sK7_skl),skolemize(Z,sK8_skl),skolemize(X0,sK9_skl),skolemize(W0,sK10_skl),skolemize(Y0,sK11_skl)],[f213])).
% 0.21/5.75 fof(f222,plain,(
% 0.21/5.75 ![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))))),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f223,plain,(
% 0.21/5.75 queue(host(sK5_skl))=cons(m_Down(sK6_skl),sK4_skl)),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f224,plain,(
% 0.21/5.75 setIn(sK5_skl,alive)),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f232,plain,(
% 0.21/5.75 ~host(sK5_skl)=host(sK8_skl)),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f233,plain,(
% 0.21/5.75 host(sK5_skl)=host(sK9_skl)),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f235,plain,(
% 0.21/5.75 setIn(sK8_skl,alive)),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f237,plain,(
% 0.21/5.75 host(sK10_skl)=host(sK8_skl)),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f238,plain,(
% 0.21/5.75 host(sK11_skl)=host(sK9_skl)),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f239,plain,(
% 0.21/5.75 elem(m_Down(sK10_skl),sK4_skl)),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f240,plain,(
% 0.21/5.75 elem(m_Down(sK11_skl),queue(host(sK8_skl)))),
% 0.21/5.75 inference(cnf_transformation,[status(thm)],[f214])).
% 0.21/5.75 fof(f503,plain,(
% 0.21/5.75 host(sK11_skl)=host(sK5_skl)),
% 0.21/5.75 inference(forward_demodulation,[status(thm)],[f233,f238])).
% 0.21/5.75 fof(f525,plain,(
% 0.21/5.75 ![X0]: (elem(m_Down(sK10_skl),cons(X0,sK4_skl)))),
% 0.21/5.75 inference(resolution,[status(thm)],[f239,f142])).
% 0.21/5.75 fof(f532,plain,(
% 0.21/5.75 ![X0,X1]: (host(sK8_skl)=host(X0)|~setIn(X0,alive)|~setIn(sK8_skl,alive)|~host(sK11_skl)=host(X0)|~host(X1)=host(sK8_skl)|~elem(m_Down(X1),queue(host(X0))))),
% 0.21/5.75 inference(resolution,[status(thm)],[f240,f222])).
% 0.21/5.75 fof(f541,plain,(
% 0.21/5.75 ![X0,X1]: (host(sK8_skl)=host(X0)|~setIn(X0,alive)|~setIn(sK8_skl,alive)|~host(sK5_skl)=host(X0)|~host(X1)=host(sK8_skl)|~elem(m_Down(X1),queue(host(X0))))),
% 0.21/5.75 inference(forward_demodulation,[status(thm)],[f503,f532])).
% 0.21/5.75 fof(f542,plain,(
% 0.21/5.75 ![X0,X1]: (host(sK8_skl)=host(X0)|~setIn(X0,alive)|~host(sK5_skl)=host(X0)|~host(X1)=host(sK8_skl)|~elem(m_Down(X1),queue(host(X0))))),
% 0.21/5.75 inference(forward_subsumption_resolution,[status(thm)],[f541,f235])).
% 0.21/5.75 fof(f1114,plain,(
% 0.21/5.75 elem(m_Down(sK10_skl),queue(host(sK5_skl)))),
% 0.21/5.75 inference(paramodulation,[status(thm)],[f223,f525])).
% 0.21/5.75 fof(f1585,plain,(
% 0.21/5.75 host(sK8_skl)=host(sK5_skl)|~setIn(sK5_skl,alive)|~host(sK5_skl)=host(sK5_skl)|~host(sK10_skl)=host(sK8_skl)),
% 0.21/5.75 inference(resolution,[status(thm)],[f1114,f542])).
% 0.21/5.75 fof(f1604,plain,(
% 0.21/5.75 host(sK8_skl)=host(sK5_skl)|~setIn(sK5_skl,alive)|~host(sK5_skl)=host(sK5_skl)|~host(sK8_skl)=host(sK8_skl)),
% 0.21/5.75 inference(forward_demodulation,[status(thm)],[f237,f1585])).
% 0.21/5.75 fof(f1605,plain,(
% 0.21/5.75 host(sK8_skl)=host(sK5_skl)|~setIn(sK5_skl,alive)),
% 0.21/5.75 inference(trivial_equality_resolution,[status(thm)],[f1604])).
% 0.21/5.75 fof(f1606,plain,(
% 0.21/5.75 ~setIn(sK5_skl,alive)),
% 0.21/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1605,f232])).
% 0.21/5.75 fof(f1627,plain,(
% 0.21/5.75 $false),
% 0.21/5.75 inference(forward_subsumption_resolution,[status(thm)],[f1606,f224])).
% 0.21/5.75 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/5.77 % Elapsed time: 0.313781 seconds
% 0.21/5.77 % CPU time: 2.232363 seconds
% 0.21/5.77 % Total memory used: 127.057 MB
% 0.21/5.77 % Net memory used: 124.033 MB
%------------------------------------------------------------------------------