%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:26:33 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO498+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.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 : Sun Sep 20 16:53:47 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f99,axiom,(
% 0.10/0.40 (! [Xa,Xp] : s(Xa,s(Xa,Xp)) = Xp )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f100,conjecture,(
% 0.10/0.40 (! [Xa,Xp,Xr,Xq] :( s(Xa,Xp) != Xr| s(Xa,Xq) != Xr| Xp = Xq ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f101,negated_conjecture,(
% 0.10/0.40 ~((! [Xa,Xp,Xr,Xq] :( s(Xa,Xp) != Xr| s(Xa,Xq) != Xr| Xp = Xq ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f100])).
% 0.10/0.40 fof(f276,plain,(
% 0.10/0.40 ![X0,X1]: (s(X0,s(X0,X1))=X1)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f99])).
% 0.10/0.40 fof(f277,plain,(
% 0.10/0.40 (?[Xa,Xp,Xr,Xq]: ((s(Xa,Xp)=Xr&s(Xa,Xq)=Xr)&~Xp=Xq))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f101])).
% 0.10/0.40 fof(f278,plain,(
% 0.10/0.40 ?[Xp,Xq]: ((?[Xa,Xr]: (s(Xa,Xp)=Xr&s(Xa,Xq)=Xr))&~Xp=Xq)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f277])).
% 0.10/0.40 fof(f279,plain,(
% 0.10/0.40 ((s(sK2_skl,sK0_skl)=sK3_skl&s(sK2_skl,sK1_skl)=sK3_skl)&~sK0_skl=sK1_skl)),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Xp,sK0_skl),skolemize(Xq,sK1_skl),skolemize(Xa,sK2_skl),skolemize(Xr,sK3_skl)],[f278])).
% 0.10/0.41 fof(f280,plain,(
% 0.10/0.41 s(sK2_skl,sK0_skl)=sK3_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f279])).
% 0.10/0.41 fof(f281,plain,(
% 0.10/0.41 s(sK2_skl,sK1_skl)=sK3_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f279])).
% 0.10/0.41 fof(f282,plain,(
% 0.10/0.41 ~sK0_skl=sK1_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f279])).
% 0.10/0.41 fof(f346,plain,(
% 0.10/0.41 s(sK2_skl,sK3_skl)=sK1_skl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f281,f276])).
% 0.10/0.41 fof(f347,plain,(
% 0.10/0.41 s(sK2_skl,sK3_skl)=sK0_skl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f280,f276])).
% 0.10/0.41 fof(f352,plain,(
% 0.10/0.41 sK1_skl=sK0_skl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f346,f347])).
% 0.10/0.41 fof(f353,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f352,f282])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.066745 seconds
% 0.10/0.43 % CPU time: 0.166480 seconds
% 0.10/0.43 % Total memory used: 107.108 MB
% 0.10/0.43 % Net memory used: 106.916 MB
%------------------------------------------------------------------------------