%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC006+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 : n015.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 02:41:18 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC006+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
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 07:51:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f96,conjecture,(
% 0.14/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = V& app(Y,X1) = U ) )) )))| (! [X2] :( ssList(X2)=> (! [X3] :( ssList(X3)=> (! [X4] :( ~ ssList(X4)| app(app(X2,X3),X4) != X| app(X2,X4) != W ) )) )) )) )) )) )) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f97,negated_conjecture,(
% 0.14/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = V& app(Y,X1) = U ) )) )))| (! [X2] :( ssList(X2)=> (! [X3] :( ssList(X3)=> (! [X4] :( ~ ssList(X4)| app(app(X2,X3),X4) != X| app(X2,X4) != W ) )) )) )) )) )) )) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.40 fof(f415,plain,(
% 0.14/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=V)|~app(Y,X1)=U)))))))&(?[X2]: (ssList(X2)&(?[X3]: (ssList(X3)&(?[X4]: ((ssList(X4)&app(app(X2,X3),X4)=X)&app(X2,X4)=W))))))))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.40 fof(f416,plain,(
% 0.14/0.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=sK48_skl)|~app(Y,X1)=sK47_skl)))))))&(ssList(sK51_skl)&(ssList(sK52_skl)&((ssList(sK53_skl)&app(app(sK51_skl,sK52_skl),sK53_skl)=sK50_skl)&app(sK51_skl,sK53_skl)=sK49_skl)))))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl,sK53_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(X2,sK51_skl),skolemize(X3,sK52_skl),skolemize(X4,sK53_skl)],[f415])).
% 0.14/0.40 fof(f421,plain,(
% 0.14/0.40 sK48_skl=sK50_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f422,plain,(
% 0.14/0.40 sK47_skl=sK49_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f423,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK48_skl|~app(X0,X2)=sK47_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f424,plain,(
% 0.14/0.40 ssList(sK51_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f425,plain,(
% 0.14/0.40 ssList(sK52_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f426,plain,(
% 0.14/0.40 ssList(sK53_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f427,plain,(
% 0.14/0.40 app(app(sK51_skl,sK52_skl),sK53_skl)=sK50_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f428,plain,(
% 0.14/0.40 app(sK51_skl,sK53_skl)=sK49_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f507,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK50_skl|~app(X0,X2)=sK47_skl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.14/0.40 fof(f508,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK50_skl|~app(X0,X2)=sK49_skl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f422,f507])).
% 0.14/0.40 fof(f532,definition,(
% 0.14/0.40 sQ5_spl <=> (ssList(sK51_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f534,plain,(
% 0.14/0.40 ~ssList(sK51_skl)|sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f532])).
% 0.14/0.40 fof(f539,definition,(
% 0.14/0.40 sQ7_spl <=> (ssList(sK52_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f541,plain,(
% 0.14/0.40 ~ssList(sK52_skl)|sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f539])).
% 0.14/0.40 fof(f546,definition,(
% 0.14/0.40 sQ9_spl <=> (ssList(sK53_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f548,plain,(
% 0.14/0.40 ~ssList(sK53_skl)|sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f546])).
% 0.14/0.40 fof(f559,plain,(
% 0.14/0.40 $false|sQ9_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f548,f426])).
% 0.14/0.41 fof(f560,plain,(
% 0.14/0.41 sQ9_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f559])).
% 0.14/0.41 fof(f561,plain,(
% 0.14/0.41 $false|sQ5_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f534,f424])).
% 0.14/0.41 fof(f562,plain,(
% 0.14/0.41 sQ5_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f561])).
% 0.14/0.41 fof(f567,plain,(
% 0.14/0.41 $false|sQ7_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f541,f425])).
% 0.14/0.41 fof(f568,plain,(
% 0.14/0.41 sQ7_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f567])).
% 0.14/0.41 fof(f920,plain,(
% 0.14/0.41 ~ssList(sK51_skl)|~ssList(sK52_skl)|~ssList(sK53_skl)|~app(sK51_skl,sK53_skl)=sK49_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f427,f508])).
% 0.14/0.41 fof(f927,definition,(
% 0.14/0.41 sQ66_spl <=> (app(sK51_skl,sK53_skl)=sK49_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f929,plain,(
% 0.14/0.41 ~app(sK51_skl,sK53_skl)=sK49_skl|sQ66_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f927])).
% 0.14/0.41 fof(f930,plain,(
% 0.14/0.41 ~sQ5_spl|~sQ7_spl|~sQ9_spl|~sQ66_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f920,f532,f539,f546,f927])).
% 0.14/0.41 fof(f952,plain,(
% 0.14/0.41 ~sK49_skl=sK49_skl|sQ66_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f428,f929])).
% 0.14/0.41 fof(f953,plain,(
% 0.14/0.41 $false|sQ66_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f952])).
% 0.14/0.41 fof(f954,plain,(
% 0.14/0.41 sQ66_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f953])).
% 0.14/0.41 fof(f955,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f560,f562,f568,f930,f954])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.065079 seconds
% 0.14/0.43 % CPU time: 0.187007 seconds
% 0.14/0.43 % Total memory used: 111.055 MB
% 0.14/0.43 % Net memory used: 110.852 MB
%------------------------------------------------------------------------------