%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC408+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 02:42:23 PM UTC 2026
% Result : Theorem 0.13s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC408+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.53 % Computer : n014.cluster.edu
% 0.08/0.53 % Model : x86_64 x86_64
% 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.53 % Memory : 8046.5625MB
% 0.08/0.53 % OS : Linux 6.8.0-71-generic
% 0.08/0.53 % CPULimit : 300
% 0.08/0.53 % WCLimit : 300
% 0.08/0.53 % DateTime : Mon Sep 21 08:22:07 UTC 2026
% 0.08/0.53 % CPUTime :
% 0.08/0.55 % Drodi V4.1.1
% 0.13/0.57 % Refutation found
% 0.13/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.57 fof(f36,axiom,(
% 0.13/0.57 (! [U] :( ssItem(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( memberP(app(V,W),U)<=> ( memberP(V,U)| memberP(W,U) ) ) ) )) )) )),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f96,conjecture,(
% 0.13/0.57 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( app(X,X) != W| V != X| U != W| (! [Y] :( ssItem(Y)=> ( ~ memberP(V,Y)| memberP(U,Y) ) ) )) ) )) )) )) )),
% 0.13/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f97,negated_conjecture,(
% 0.13/0.57 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( app(X,X) != W| V != X| U != W| (! [Y] :( ssItem(Y)=> ( ~ memberP(V,Y)| memberP(U,Y) ) ) )) ) )) )) )) ))),
% 0.13/0.57 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.57 fof(f268,plain,(
% 0.13/0.57 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(memberP(app(V,W),U)<=>(memberP(V,U)|memberP(W,U))))))))),
% 0.13/0.57 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.13/0.57 fof(f269,plain,(
% 0.13/0.57 ![U]: (~ssItem(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~memberP(app(V,W),U)|(memberP(V,U)|memberP(W,U)))&(memberP(app(V,W),U)|(~memberP(V,U)&~memberP(W,U)))))))))),
% 0.13/0.57 inference(NNF_transformation,[status(thm)],[f268])).
% 0.13/0.57 fof(f271,plain,(
% 0.13/0.57 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|memberP(app(X1,X2),X0)|~memberP(X1,X0))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f269])).
% 0.13/0.57 fof(f415,plain,(
% 0.13/0.57 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((app(X,X)=W&V=X)&U=W)&(?[Y]: (ssItem(Y)&(memberP(V,Y)&~memberP(U,Y)))))))))))))),
% 0.13/0.57 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.13/0.57 fof(f416,plain,(
% 0.13/0.57 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((app(sK50_skl,sK50_skl)=sK49_skl&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(ssItem(sK51_skl)&(memberP(sK48_skl,sK51_skl)&~memberP(sK47_skl,sK51_skl))))))))),
% 0.13/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl)],[f415])).
% 0.13/0.57 fof(f418,plain,(
% 0.13/0.57 ssList(sK48_skl)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.57 fof(f421,plain,(
% 0.13/0.57 app(sK50_skl,sK50_skl)=sK49_skl),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.57 fof(f422,plain,(
% 0.13/0.57 sK48_skl=sK50_skl),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.57 fof(f423,plain,(
% 0.13/0.57 sK47_skl=sK49_skl),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.57 fof(f424,plain,(
% 0.13/0.57 ssItem(sK51_skl)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.57 fof(f425,plain,(
% 0.13/0.57 memberP(sK48_skl,sK51_skl)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.57 fof(f426,plain,(
% 0.13/0.57 ~memberP(sK47_skl,sK51_skl)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.57 fof(f468,plain,(
% 0.13/0.57 app(sK48_skl,sK50_skl)=sK49_skl),
% 0.13/0.57 inference(forward_demodulation,[status(thm)],[f422,f421])).
% 0.13/0.57 fof(f469,plain,(
% 0.13/0.57 app(sK48_skl,sK48_skl)=sK49_skl),
% 0.13/0.57 inference(forward_demodulation,[status(thm)],[f422,f468])).
% 0.13/0.57 fof(f470,plain,(
% 0.13/0.57 app(sK48_skl,sK48_skl)=sK47_skl),
% 0.13/0.57 inference(forward_demodulation,[status(thm)],[f423,f469])).
% 0.13/0.57 fof(f483,plain,(
% 0.13/0.57 ![X0]: (~ssItem(sK51_skl)|~ssList(sK48_skl)|~ssList(X0)|memberP(app(sK48_skl,X0),sK51_skl))),
% 0.13/0.57 inference(resolution,[status(thm)],[f271,f425])).
% 0.13/0.57 fof(f484,plain,(
% 0.13/0.57 ![X0]: (~ssList(sK48_skl)|~ssList(X0)|memberP(app(sK48_skl,X0),sK51_skl))),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f483,f424])).
% 0.13/0.57 fof(f751,plain,(
% 0.13/0.57 ![X0]: (~ssList(X0)|memberP(app(sK48_skl,X0),sK51_skl))),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f484,f418])).
% 0.13/0.57 fof(f757,plain,(
% 0.13/0.57 memberP(app(sK48_skl,sK48_skl),sK51_skl)),
% 0.13/0.57 inference(resolution,[status(thm)],[f751,f418])).
% 0.13/0.57 fof(f760,plain,(
% 0.13/0.57 memberP(sK47_skl,sK51_skl)),
% 0.13/0.57 inference(forward_demodulation,[status(thm)],[f470,f757])).
% 0.13/0.57 fof(f761,plain,(
% 0.13/0.57 $false),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f760,f426])).
% 0.13/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.60 % Elapsed time: 0.054352 seconds
% 0.13/0.60 % CPU time: 0.174552 seconds
% 0.13/0.60 % Total memory used: 32.406 MB
% 0.13/0.60 % Net memory used: 32.241 MB
%------------------------------------------------------------------------------