%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC007+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 : n007.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 02:41:19 PM UTC 2026
% Result : Theorem 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC007+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 : n007.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 07:46:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f28,axiom,(
% 0.13/0.44 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f84,axiom,(
% 0.13/0.44 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f96,conjecture,(
% 0.13/0.44 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != W| V != X| U != W| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = V& app(Y,X1) = U ) )) )) )) ) )) )) )) )),
% 0.13/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f97,negated_conjecture,(
% 0.13/0.44 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != W| V != X| U != W| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = V& app(Y,X1) = U ) )) )) )) ) )) )) )) ))),
% 0.13/0.44 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.44 fof(f248,plain,(
% 0.13/0.44 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.13/0.44 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.13/0.44 fof(f249,plain,(
% 0.13/0.44 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f248])).
% 0.13/0.44 fof(f388,plain,(
% 0.13/0.44 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.13/0.44 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.13/0.44 fof(f389,plain,(
% 0.13/0.44 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f388])).
% 0.13/0.44 fof(f415,plain,(
% 0.13/0.44 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((nil=W&V=X)&U=W)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=V)|~app(Y,X1)=U)))))))))))))))),
% 0.13/0.44 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.13/0.44 fof(f416,plain,(
% 0.13/0.44 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((nil=sK49_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)))))))))))),
% 0.13/0.44 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])).
% 0.13/0.44 fof(f419,plain,(
% 0.13/0.44 ssList(sK49_skl)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.44 fof(f420,plain,(
% 0.13/0.44 ssList(sK50_skl)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.44 fof(f421,plain,(
% 0.13/0.44 nil=sK49_skl),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.44 fof(f422,plain,(
% 0.13/0.44 sK48_skl=sK50_skl),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.44 fof(f423,plain,(
% 0.13/0.44 sK47_skl=sK49_skl),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.44 fof(f424,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK48_skl|~app(X0,X2)=sK47_skl)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.44 fof(f458,plain,(
% 0.13/0.44 ![X0]: (~ssList(X0)|app(sK49_skl,X0)=X0)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f421,f249])).
% 0.13/0.44 fof(f459,plain,(
% 0.13/0.44 app(sK49_skl,sK50_skl)=sK50_skl),
% 0.13/0.44 inference(resolution,[status(thm)],[f458,f420])).
% 0.13/0.44 fof(f460,plain,(
% 0.13/0.44 app(sK49_skl,sK49_skl)=sK49_skl),
% 0.13/0.44 inference(resolution,[status(thm)],[f458,f419])).
% 0.13/0.44 fof(f461,plain,(
% 0.13/0.44 ![X0]: (~ssList(X0)|app(X0,sK49_skl)=X0)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f421,f389])).
% 0.13/0.44 fof(f462,plain,(
% 0.13/0.44 app(sK50_skl,sK49_skl)=sK50_skl),
% 0.13/0.44 inference(resolution,[status(thm)],[f461,f420])).
% 0.13/0.44 fof(f482,definition,(
% 0.13/0.44 sQ1_spl <=> (ssList(sK49_skl))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f484,plain,(
% 0.13/0.44 ~ssList(sK49_skl)|sQ1_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f482])).
% 0.13/0.44 fof(f485,definition,(
% 0.13/0.44 sQ2_spl <=> (ssList(sK50_skl))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f487,plain,(
% 0.13/0.44 ~ssList(sK50_skl)|sQ2_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f485])).
% 0.13/0.44 fof(f507,plain,(
% 0.13/0.44 $false|sQ1_spl),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f484,f419])).
% 0.13/0.44 fof(f508,plain,(
% 0.13/0.44 sQ1_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f507])).
% 0.13/0.44 fof(f509,plain,(
% 0.13/0.44 $false|sQ2_spl),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f487,f420])).
% 0.13/0.44 fof(f510,plain,(
% 0.13/0.44 sQ2_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f509])).
% 0.13/0.44 fof(f559,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK50_skl|~app(X0,X2)=sK47_skl)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f422,f424])).
% 0.13/0.44 fof(f560,plain,(
% 0.13/0.44 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK50_skl|~app(X0,X2)=sK49_skl)),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f423,f559])).
% 0.13/0.44 fof(f563,plain,(
% 0.13/0.44 ![X0]: (~ssList(sK49_skl)|~ssList(sK50_skl)|~ssList(X0)|~app(sK50_skl,X0)=sK50_skl|~app(sK49_skl,X0)=sK49_skl)),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f459,f560])).
% 0.13/0.44 fof(f572,definition,(
% 0.13/0.44 ![X0]: (sQ11_spl <=> (~ssList(X0)|~app(sK50_skl,X0)=sK50_skl|~app(sK49_skl,X0)=sK49_skl))),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f573,plain,(
% 0.13/0.44 ![X0]: (~ssList(X0)|~app(sK50_skl,X0)=sK50_skl|~app(sK49_skl,X0)=sK49_skl|~sQ11_spl)),
% 0.13/0.44 inference(component_clause,[status(thm)],[f572])).
% 0.13/0.44 fof(f575,plain,(
% 0.13/0.44 ~sQ1_spl|~sQ2_spl|sQ11_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f563,f482,f485,f572])).
% 0.13/0.44 fof(f3735,definition,(
% 0.13/0.44 sQ522_spl <=> (app(sK50_skl,sK49_skl)=sK50_skl)),
% 0.13/0.44 introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition])).
% 0.13/0.44 fof(f3737,plain,(
% 0.13/0.44 ~app(sK50_skl,sK49_skl)=sK50_skl|sQ522_spl),
% 0.13/0.44 inference(component_clause,[status(thm)],[f3735])).
% 0.13/0.44 fof(f5796,plain,(
% 0.13/0.44 ~ssList(sK49_skl)|~app(sK50_skl,sK49_skl)=sK50_skl|~sQ11_spl),
% 0.13/0.44 inference(resolution,[status(thm)],[f573,f460])).
% 0.13/0.44 fof(f5805,plain,(
% 0.13/0.44 ~sQ1_spl|~sQ522_spl|~sQ11_spl),
% 0.13/0.44 inference(split_clause,[status(thm)],[f5796,f482,f3735,f572])).
% 0.13/0.44 fof(f5813,plain,(
% 0.13/0.44 ~sK50_skl=sK50_skl|sQ522_spl),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f462,f3737])).
% 0.13/0.44 fof(f5814,plain,(
% 0.13/0.44 $false|sQ522_spl),
% 0.13/0.44 inference(trivial_equality_resolution,[status(thm)],[f5813])).
% 0.13/0.44 fof(f5815,plain,(
% 0.13/0.44 sQ522_spl),
% 0.13/0.44 inference(contradiction_clause,[status(thm)],[f5814])).
% 0.13/0.44 fof(f5816,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(sat_refutation,[status(thm)],[f508,f510,f575,f5805,f5815])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.091491 seconds
% 0.13/0.46 % CPU time: 0.454472 seconds
% 0.13/0.46 % Total memory used: 85.168 MB
% 0.13/0.46 % Net memory used: 84.515 MB
%------------------------------------------------------------------------------