%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC094+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 : n016.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 02:41:34 PM UTC 2026
% Result : Theorem 0.14s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC094+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
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:00:07 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.43 fof(f17,axiom,(
% 0.14/0.43 ssList(nil) ),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f84,axiom,(
% 0.14/0.43 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f96,conjecture,(
% 0.14/0.43 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = U& app(Y,X1) = V ) )) )) )) ) )) )) )) )),
% 0.14/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f97,negated_conjecture,(
% 0.14/0.43 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| (? [Y] :( ssList(Y)& (? [Z] :( ssList(Z)& (? [X1] :( ssList(X1)& app(app(Y,Z),X1) = U& app(Y,X1) = V ) )) )) )) ) )) )) )) ))),
% 0.14/0.43 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.43 fof(f223,plain,(
% 0.14/0.43 ssList(nil)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.43 fof(f388,plain,(
% 0.14/0.43 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.14/0.43 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.14/0.43 fof(f389,plain,(
% 0.14/0.43 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f388])).
% 0.14/0.43 fof(f415,plain,(
% 0.14/0.43 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&X=W)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=U)|~app(Y,X1)=V)))))))))))))))),
% 0.14/0.43 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.43 fof(f416,plain,(
% 0.14/0.43 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&sK50_skl=sK49_skl)&(![Y]: (~ssList(Y)|(![Z]: (~ssList(Z)|(![X1]: ((~ssList(X1)|~app(app(Y,Z),X1)=sK47_skl)|~app(Y,X1)=sK48_skl)))))))))))),
% 0.14/0.43 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])).
% 0.14/0.43 fof(f420,plain,(
% 0.14/0.43 ssList(sK50_skl)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.43 fof(f421,plain,(
% 0.14/0.43 sK48_skl=sK50_skl),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.43 fof(f422,plain,(
% 0.14/0.43 sK47_skl=sK49_skl),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.43 fof(f423,plain,(
% 0.14/0.43 sK50_skl=sK49_skl),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.43 fof(f424,plain,(
% 0.14/0.43 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK47_skl|~app(X0,X2)=sK48_skl)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.43 fof(f457,plain,(
% 0.14/0.43 sK47_skl=sK50_skl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f423,f422])).
% 0.14/0.43 fof(f460,plain,(
% 0.14/0.43 app(sK50_skl,nil)=sK50_skl),
% 0.14/0.43 inference(resolution,[status(thm)],[f389,f420])).
% 0.14/0.43 fof(f477,definition,(
% 0.14/0.43 sQ1_spl <=> (ssList(nil))),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f479,plain,(
% 0.14/0.43 ~ssList(nil)|sQ1_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f477])).
% 0.14/0.43 fof(f480,definition,(
% 0.14/0.43 sQ2_spl <=> (ssList(sK50_skl))),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f482,plain,(
% 0.14/0.43 ~ssList(sK50_skl)|sQ2_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f480])).
% 0.14/0.43 fof(f505,plain,(
% 0.14/0.43 $false|sQ1_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f479,f223])).
% 0.14/0.43 fof(f506,plain,(
% 0.14/0.43 sQ1_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f505])).
% 0.14/0.43 fof(f507,plain,(
% 0.14/0.43 $false|sQ2_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f482,f420])).
% 0.14/0.43 fof(f508,plain,(
% 0.14/0.43 sQ2_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f507])).
% 0.14/0.43 fof(f540,plain,(
% 0.14/0.43 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK50_skl|~app(X0,X2)=sK48_skl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f457,f424])).
% 0.14/0.43 fof(f541,plain,(
% 0.14/0.43 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~app(app(X0,X1),X2)=sK50_skl|~app(X0,X2)=sK50_skl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f421,f540])).
% 0.14/0.43 fof(f542,plain,(
% 0.14/0.43 ![X0]: (~ssList(sK50_skl)|~ssList(nil)|~ssList(X0)|~app(sK50_skl,X0)=sK50_skl|~app(sK50_skl,X0)=sK50_skl)),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f460,f541])).
% 0.14/0.44 fof(f544,definition,(
% 0.14/0.44 ![X0]: (sQ8_spl <=> (~ssList(X0)|~app(sK50_skl,X0)=sK50_skl|~app(sK50_skl,X0)=sK50_skl))),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f545,plain,(
% 0.14/0.44 ![X0]: (~ssList(X0)|~app(sK50_skl,X0)=sK50_skl|~app(sK50_skl,X0)=sK50_skl|~sQ8_spl)),
% 0.14/0.44 inference(component_clause,[status(thm)],[f544])).
% 0.14/0.44 fof(f547,plain,(
% 0.14/0.44 ~sQ2_spl|~sQ1_spl|sQ8_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f542,f480,f477,f544])).
% 0.14/0.44 fof(f552,plain,(
% 0.14/0.44 ![X0]: (~ssList(X0)|~app(sK50_skl,X0)=sK50_skl|~sQ8_spl)),
% 0.14/0.44 inference(duplicate_literals_removal,[status(thm)],[f545])).
% 0.14/0.44 fof(f578,plain,(
% 0.14/0.44 ~ssList(nil)|~sQ8_spl),
% 0.14/0.44 inference(resolution,[status(thm)],[f552,f460])).
% 0.14/0.44 fof(f580,plain,(
% 0.14/0.44 ~sQ1_spl|~sQ8_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f578,f477,f544])).
% 0.14/0.44 fof(f582,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(sat_refutation,[status(thm)],[f506,f508,f547,f580])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.47 % Elapsed time: 0.089667 seconds
% 0.14/0.47 % CPU time: 0.235079 seconds
% 0.14/0.47 % Total memory used: 93.311 MB
% 0.14/0.47 % Net memory used: 93.164 MB
%------------------------------------------------------------------------------