%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC411+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 02:42:24 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC411+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 08:27:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f96,conjecture,(
% 0.09/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& ~ memberP(W,Y)& memberP(X,Y) ))| (! [Z] :( ssItem(Z)=> ( ~ memberP(V,Z)| memberP(U,Z) ) ) )) ) )) )) )) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f97,negated_conjecture,(
% 0.09/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& ~ memberP(W,Y)& memberP(X,Y) ))| (! [Z] :( ssItem(Z)=> ( ~ memberP(V,Z)| memberP(U,Z) ) ) )) ) )) )) )) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.09/0.40 fof(f415,plain,(
% 0.09/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(![Y]: ((~ssItem(Y)|memberP(W,Y))|~memberP(X,Y))))&(?[Z]: (ssItem(Z)&(memberP(V,Z)&~memberP(U,Z)))))))))))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.09/0.40 fof(f416,plain,(
% 0.09/0.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(![Y]: ((~ssItem(Y)|memberP(sK49_skl,Y))|~memberP(sK50_skl,Y))))&(ssItem(sK51_skl)&(memberP(sK48_skl,sK51_skl)&~memberP(sK47_skl,sK51_skl))))))))),
% 0.09/0.40 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(Z,sK51_skl)],[f415])).
% 0.09/0.40 fof(f421,plain,(
% 0.09/0.40 sK48_skl=sK50_skl),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.40 fof(f422,plain,(
% 0.09/0.40 sK47_skl=sK49_skl),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.40 fof(f423,plain,(
% 0.09/0.40 ![X0]: (~ssItem(X0)|memberP(sK49_skl,X0)|~memberP(sK50_skl,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.40 fof(f424,plain,(
% 0.09/0.40 ssItem(sK51_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.40 fof(f425,plain,(
% 0.09/0.40 memberP(sK48_skl,sK51_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.40 fof(f426,plain,(
% 0.09/0.40 ~memberP(sK47_skl,sK51_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.40 fof(f459,plain,(
% 0.09/0.40 memberP(sK50_skl,sK51_skl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f421,f425])).
% 0.09/0.40 fof(f460,plain,(
% 0.09/0.40 ~memberP(sK49_skl,sK51_skl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f422,f426])).
% 0.09/0.40 fof(f464,plain,(
% 0.09/0.40 ~ssItem(sK51_skl)|memberP(sK49_skl,sK51_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f423,f459])).
% 0.09/0.40 fof(f465,definition,(
% 0.09/0.40 sQ0_spl <=> (ssItem(sK51_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f467,plain,(
% 0.09/0.40 ~ssItem(sK51_skl)|sQ0_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f465])).
% 0.09/0.40 fof(f468,definition,(
% 0.09/0.40 sQ1_spl <=> (memberP(sK49_skl,sK51_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f469,plain,(
% 0.09/0.40 memberP(sK49_skl,sK51_skl)|~sQ1_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f468])).
% 0.09/0.40 fof(f471,plain,(
% 0.09/0.40 ~sQ0_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f464,f465,f468])).
% 0.09/0.40 fof(f472,plain,(
% 0.09/0.40 $false|sQ0_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f467,f424])).
% 0.09/0.40 fof(f473,plain,(
% 0.09/0.40 sQ0_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f472])).
% 0.09/0.40 fof(f474,plain,(
% 0.09/0.40 $false|~sQ1_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f469,f460])).
% 0.09/0.40 fof(f475,plain,(
% 0.09/0.40 ~sQ1_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f474])).
% 0.09/0.40 fof(f476,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f471,f473,f475])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.054060 seconds
% 0.09/0.44 % CPU time: 0.161316 seconds
% 0.09/0.44 % Total memory used: 110.261 MB
% 0.09/0.44 % Net memory used: 110.119 MB
%------------------------------------------------------------------------------