%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC102+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 : 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 02:41:35 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC102+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
% 0.10/0.36 % Computer : n010.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 07:56:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f42,axiom,(
% 0.10/0.41 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f96,conjecture,(
% 0.10/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| ~ neq(V,nil)| ( neq(U,nil)& frontsegP(V,U) ) ) ) )) )) )) )),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f97,negated_conjecture,(
% 0.10/0.41 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| ~ neq(V,nil)| ( neq(U,nil)& frontsegP(V,U) ) ) ) )) )) )) ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f96])).
% 0.10/0.41 fof(f285,plain,(
% 0.10/0.41 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.10/0.41 fof(f286,plain,(
% 0.10/0.41 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f285])).
% 0.10/0.41 fof(f415,plain,(
% 0.10/0.41 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&X=W)&neq(V,nil))&(~neq(U,nil)|~frontsegP(V,U)))))))))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.10/0.41 fof(f416,plain,(
% 0.10/0.41 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&sK50_skl=sK49_skl)&neq(sK48_skl,nil))&(~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)))))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f415])).
% 0.10/0.41 fof(f420,plain,(
% 0.10/0.41 ssList(sK50_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f421,plain,(
% 0.10/0.41 sK48_skl=sK50_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f422,plain,(
% 0.10/0.41 sK47_skl=sK49_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f423,plain,(
% 0.10/0.41 sK50_skl=sK49_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f424,plain,(
% 0.10/0.41 neq(sK48_skl,nil)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f425,plain,(
% 0.10/0.41 ~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f426,definition,(
% 0.10/0.41 sQ0_spl <=> (neq(sK47_skl,nil))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f428,plain,(
% 0.10/0.41 ~neq(sK47_skl,nil)|sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f426])).
% 0.10/0.41 fof(f429,definition,(
% 0.10/0.41 sQ1_spl <=> (frontsegP(sK48_skl,sK47_skl))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f431,plain,(
% 0.10/0.41 ~frontsegP(sK48_skl,sK47_skl)|sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f429])).
% 0.10/0.41 fof(f432,plain,(
% 0.10/0.41 ~sQ0_spl|~sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f425,f426,f429])).
% 0.10/0.41 fof(f465,plain,(
% 0.10/0.41 sK47_skl=sK50_skl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f423,f422])).
% 0.10/0.41 fof(f467,plain,(
% 0.10/0.41 neq(sK50_skl,nil)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f421,f424])).
% 0.10/0.41 fof(f468,plain,(
% 0.10/0.41 ~neq(sK50_skl,nil)|sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f465,f428])).
% 0.10/0.41 fof(f469,plain,(
% 0.10/0.41 $false|sQ0_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f468,f467])).
% 0.10/0.41 fof(f470,plain,(
% 0.10/0.41 sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f469])).
% 0.10/0.41 fof(f471,plain,(
% 0.10/0.41 ~frontsegP(sK50_skl,sK47_skl)|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f421,f431])).
% 0.10/0.41 fof(f472,plain,(
% 0.10/0.41 ~frontsegP(sK50_skl,sK50_skl)|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f465,f471])).
% 0.10/0.41 fof(f475,plain,(
% 0.10/0.41 frontsegP(sK50_skl,sK50_skl)),
% 0.10/0.41 inference(resolution,[status(thm)],[f286,f420])).
% 0.10/0.41 fof(f476,plain,(
% 0.10/0.41 $false|sQ1_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f475,f472])).
% 0.10/0.41 fof(f477,plain,(
% 0.10/0.41 sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f476])).
% 0.10/0.41 fof(f478,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f432,f470,f477])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.074968 seconds
% 0.10/0.46 % CPU time: 0.220204 seconds
% 0.10/0.46 % Total memory used: 110.181 MB
% 0.10/0.46 % Net memory used: 110.053 MB
%------------------------------------------------------------------------------