%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC185+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 : n005.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 02:41:48 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC185+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:02:33 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f17,axiom,(
% 0.12/0.39 ssList(nil) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f96,conjecture,(
% 0.12/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = W& ( memberP(Z,Y)| memberP(X1,Y) ) ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssList(X3)=> (! [X4] :( ssList(X4)=> ( app(app(X3,cons(X2,nil)),X4) != U| ( ~ memberP(X3,X2)& ~ memberP(X4,X2) ) ) ) )) )) )) ) )) )) )) )),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f97,negated_conjecture,(
% 0.12/0.39 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Z,cons(Y,nil)),X1) = W& ( memberP(Z,Y)| memberP(X1,Y) ) ) )) )))| (! [X2] :( ssItem(X2)=> (! [X3] :( ssList(X3)=> (! [X4] :( ssList(X4)=> ( app(app(X3,cons(X2,nil)),X4) != U| ( ~ memberP(X3,X2)& ~ memberP(X4,X2) ) ) ) )) )) )) ) )) )) )) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f96])).
% 0.12/0.39 fof(f223,plain,(
% 0.12/0.39 ssList(nil)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f415,plain,(
% 0.12/0.39 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=W)|(~memberP(Z,Y)&~memberP(X1,Y)))))))))&(?[X2]: (ssItem(X2)&(?[X3]: (ssList(X3)&(?[X4]: (ssList(X4)&(app(app(X3,cons(X2,nil)),X4)=U&(memberP(X3,X2)|memberP(X4,X2))))))))))))))))))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.12/0.39 fof(f416,plain,(
% 0.12/0.39 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(![Y]: (~ssItem(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Z,cons(Y,nil)),X1)=sK49_skl)|(~memberP(Z,Y)&~memberP(X1,Y)))))))))&(ssItem(sK51_skl)&(ssList(sK52_skl)&(ssList(sK53_skl)&(app(app(sK52_skl,cons(sK51_skl,nil)),sK53_skl)=sK47_skl&(memberP(sK52_skl,sK51_skl)|memberP(sK53_skl,sK51_skl)))))))))))),
% 0.12/0.39 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])).
% 0.12/0.39 fof(f419,plain,(
% 0.12/0.39 ssList(sK49_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f420,plain,(
% 0.12/0.39 ssList(sK50_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f422,plain,(
% 0.12/0.39 sK47_skl=sK49_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f423,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sK49_skl|~memberP(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f424,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~ssItem(X0)|~ssList(X1)|~ssList(X2)|~app(app(X1,cons(X0,nil)),X2)=sK49_skl|~memberP(X2,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f425,plain,(
% 0.12/0.39 ssItem(sK51_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f426,plain,(
% 0.12/0.39 ssList(sK52_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f427,plain,(
% 0.12/0.39 ssList(sK53_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f428,plain,(
% 0.12/0.39 app(app(sK52_skl,cons(sK51_skl,nil)),sK53_skl)=sK47_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f429,plain,(
% 0.12/0.39 memberP(sK52_skl,sK51_skl)|memberP(sK53_skl,sK51_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f430,definition,(
% 0.12/0.39 sQ0_spl <=> (memberP(sK52_skl,sK51_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f433,definition,(
% 0.12/0.39 sQ1_spl <=> (memberP(sK53_skl,sK51_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f436,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f429,f430,f433])).
% 0.12/0.39 fof(f486,definition,(
% 0.12/0.40 sQ2_spl <=> (ssList(sK52_skl))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f488,plain,(
% 0.12/0.40 ~ssList(sK52_skl)|sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f486])).
% 0.12/0.40 fof(f489,definition,(
% 0.12/0.40 sQ3_spl <=> (ssItem(sK51_skl))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f491,plain,(
% 0.12/0.40 ~ssItem(sK51_skl)|sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f489])).
% 0.12/0.40 fof(f498,definition,(
% 0.12/0.40 sQ5_spl <=> (ssList(sK53_skl))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f500,plain,(
% 0.12/0.40 ~ssList(sK53_skl)|sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f498])).
% 0.12/0.40 fof(f509,plain,(
% 0.12/0.40 $false|sQ3_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f491,f425])).
% 0.12/0.40 fof(f510,plain,(
% 0.12/0.40 sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f509])).
% 0.12/0.40 fof(f511,plain,(
% 0.12/0.40 $false|sQ5_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f500,f427])).
% 0.12/0.40 fof(f512,plain,(
% 0.12/0.40 sQ5_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f511])).
% 0.12/0.40 fof(f572,plain,(
% 0.12/0.40 $false|sQ2_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f488,f426])).
% 0.12/0.40 fof(f573,plain,(
% 0.12/0.40 sQ2_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f572])).
% 0.12/0.40 fof(f747,definition,(
% 0.12/0.40 sQ43_spl <=> (ssList(nil))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f749,plain,(
% 0.12/0.40 ~ssList(nil)|sQ43_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f747])).
% 0.12/0.40 fof(f754,definition,(
% 0.12/0.40 sQ45_spl <=> (ssList(sK50_skl))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f756,plain,(
% 0.12/0.40 ~ssList(sK50_skl)|sQ45_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f754])).
% 0.12/0.40 fof(f761,definition,(
% 0.12/0.40 sQ47_spl <=> (ssList(sK49_skl))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f763,plain,(
% 0.12/0.40 ~ssList(sK49_skl)|sQ47_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f761])).
% 0.12/0.40 fof(f772,plain,(
% 0.12/0.40 $false|sQ47_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f763,f419])).
% 0.12/0.40 fof(f773,plain,(
% 0.12/0.40 sQ47_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f772])).
% 0.12/0.40 fof(f774,plain,(
% 0.12/0.40 $false|sQ43_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f749,f223])).
% 0.12/0.40 fof(f775,plain,(
% 0.12/0.40 sQ43_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f774])).
% 0.12/0.40 fof(f776,plain,(
% 0.12/0.40 $false|sQ45_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f756,f420])).
% 0.12/0.40 fof(f777,plain,(
% 0.12/0.40 sQ45_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f776])).
% 0.12/0.40 fof(f838,plain,(
% 0.12/0.40 app(app(sK52_skl,cons(sK51_skl,nil)),sK53_skl)=sK49_skl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f422,f428])).
% 0.12/0.40 fof(f839,plain,(
% 0.12/0.40 ~ssItem(sK51_skl)|~ssList(sK52_skl)|~ssList(sK53_skl)|~memberP(sK53_skl,sK51_skl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f838,f424])).
% 0.12/0.40 fof(f841,plain,(
% 0.12/0.40 ~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f839,f489,f486,f498,f433])).
% 0.12/0.40 fof(f1205,plain,(
% 0.12/0.40 ~ssItem(sK51_skl)|~ssList(sK52_skl)|~ssList(sK53_skl)|~memberP(sK52_skl,sK51_skl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f423,f838])).
% 0.12/0.40 fof(f1207,plain,(
% 0.12/0.40 ~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ0_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f1205,f489,f486,f498,f430])).
% 0.12/0.40 fof(f1209,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f436,f510,f512,f573,f773,f775,f777,f841,f1207])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.065022 seconds
% 0.12/0.43 % CPU time: 0.209716 seconds
% 0.12/0.43 % Total memory used: 111.362 MB
% 0.12/0.43 % Net memory used: 111.175 MB
%------------------------------------------------------------------------------