%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC375+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 : n010.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 02:42:18 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC375+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
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 08:20:09 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f96,conjecture,(
% 0.11/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| (! [Y] :( ssItem(Y)=> ( ( ~ memberP(V,Y)& ~ memberP(U,Y) )| ( memberP(V,Y)& memberP(U,Y) ) ) ) )) ) )) )) )) )),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f97,negated_conjecture,(
% 0.11/0.39 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| (! [Y] :( ssItem(Y)=> ( ( ~ memberP(V,Y)& ~ memberP(U,Y) )| ( memberP(V,Y)& memberP(U,Y) ) ) ) )) ) )) )) )) ))),
% 0.11/0.39 inference(negated_conjecture,[status(cth)],[f96])).
% 0.11/0.39 fof(f415,plain,(
% 0.11/0.39 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&X=W)&(?[Y]: (ssItem(Y)&((memberP(V,Y)|memberP(U,Y))&(~memberP(V,Y)|~memberP(U,Y))))))))))))))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.11/0.39 fof(f416,plain,(
% 0.11/0.39 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&sK50_skl=sK49_skl)&(ssItem(sK51_skl)&((memberP(sK48_skl,sK51_skl)|memberP(sK47_skl,sK51_skl))&(~memberP(sK48_skl,sK51_skl)|~memberP(sK47_skl,sK51_skl)))))))))),
% 0.11/0.39 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])).
% 0.11/0.39 fof(f421,plain,(
% 0.11/0.39 sK48_skl=sK50_skl),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/0.39 fof(f422,plain,(
% 0.11/0.39 sK47_skl=sK49_skl),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/0.39 fof(f423,plain,(
% 0.11/0.39 sK50_skl=sK49_skl),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/0.39 fof(f425,plain,(
% 0.11/0.39 memberP(sK48_skl,sK51_skl)|memberP(sK47_skl,sK51_skl)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/0.39 fof(f426,plain,(
% 0.11/0.39 ~memberP(sK48_skl,sK51_skl)|~memberP(sK47_skl,sK51_skl)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/0.39 fof(f427,definition,(
% 0.11/0.39 sQ0_spl <=> (memberP(sK48_skl,sK51_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f428,plain,(
% 0.11/0.39 memberP(sK48_skl,sK51_skl)|~sQ0_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f427])).
% 0.11/0.39 fof(f429,plain,(
% 0.11/0.39 ~memberP(sK48_skl,sK51_skl)|sQ0_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f427])).
% 0.11/0.39 fof(f430,definition,(
% 0.11/0.39 sQ1_spl <=> (memberP(sK47_skl,sK51_skl))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f431,plain,(
% 0.11/0.39 memberP(sK47_skl,sK51_skl)|~sQ1_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f430])).
% 0.11/0.39 fof(f432,plain,(
% 0.11/0.39 ~memberP(sK47_skl,sK51_skl)|sQ1_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f430])).
% 0.11/0.39 fof(f433,plain,(
% 0.11/0.39 sQ0_spl|sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f425,f427,f430])).
% 0.11/0.39 fof(f434,plain,(
% 0.11/0.39 ~sQ0_spl|~sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f426,f427,f430])).
% 0.11/0.39 fof(f467,plain,(
% 0.11/0.39 sK47_skl=sK50_skl),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f423,f422])).
% 0.11/0.39 fof(f469,plain,(
% 0.11/0.39 ~memberP(sK50_skl,sK51_skl)|sQ0_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f421,f429])).
% 0.11/0.39 fof(f470,plain,(
% 0.11/0.39 memberP(sK50_skl,sK51_skl)|~sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f467,f431])).
% 0.11/0.39 fof(f471,plain,(
% 0.11/0.39 $false|sQ0_spl|~sQ1_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f470,f469])).
% 0.11/0.39 fof(f472,plain,(
% 0.11/0.39 sQ0_spl|~sQ1_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f471])).
% 0.11/0.39 fof(f473,plain,(
% 0.11/0.39 memberP(sK50_skl,sK51_skl)|~sQ0_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f421,f428])).
% 0.11/0.39 fof(f474,plain,(
% 0.11/0.39 ~memberP(sK50_skl,sK51_skl)|sQ1_spl),
% 0.11/0.39 inference(forward_demodulation,[status(thm)],[f467,f432])).
% 0.11/0.39 fof(f475,plain,(
% 0.11/0.39 $false|~sQ0_spl|sQ1_spl),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f474,f473])).
% 0.11/0.39 fof(f476,plain,(
% 0.11/0.39 ~sQ0_spl|sQ1_spl),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f475])).
% 0.11/0.39 fof(f477,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(sat_refutation,[status(thm)],[f433,f434,f472,f476])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.066794 seconds
% 0.11/0.42 % CPU time: 0.173612 seconds
% 0.11/0.42 % Total memory used: 110.275 MB
% 0.11/0.42 % Net memory used: 110.143 MB
%------------------------------------------------------------------------------