%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO524+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 12:26:35 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO524+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.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 17:10:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f186,axiom,(
% 0.14/0.41 (! [Xa,Xb,Xp,Xp1] :( Xa = Xb| reflect(Xa,Xb,Xp) != Xp1| reflect(Xa,Xb,Xp1) = Xp ) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f189,conjecture,(
% 0.14/0.41 (! [Xa,Xb,Xp,Xq] :( Xa = Xb| reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq)| Xp = Xq ) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f190,negated_conjecture,(
% 0.14/0.41 ~((! [Xa,Xb,Xp,Xq] :( Xa = Xb| reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq)| Xp = Xq ) ))),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f189])).
% 0.14/0.41 fof(f535,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (X0=X1|~reflect(X0,X1,X2)=X3|reflect(X0,X1,X3)=X2)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f186])).
% 0.14/0.41 fof(f539,plain,(
% 0.14/0.41 (?[Xa,Xb,Xp,Xq]: ((~Xa=Xb&reflect(Xa,Xb,Xp)=reflect(Xa,Xb,Xq))&~Xp=Xq))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f190])).
% 0.14/0.41 fof(f540,plain,(
% 0.14/0.41 ?[Xp,Xq]: ((?[Xa,Xb]: (~Xa=Xb&reflect(Xa,Xb,Xp)=reflect(Xa,Xb,Xq)))&~Xp=Xq)),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f539])).
% 0.14/0.41 fof(f541,plain,(
% 0.14/0.41 ((~sK2_skl=sK3_skl&reflect(sK2_skl,sK3_skl,sK0_skl)=reflect(sK2_skl,sK3_skl,sK1_skl))&~sK0_skl=sK1_skl)),
% 0.14/0.41 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(Xb,sK3_skl)],[f540])).
% 0.14/0.41 fof(f542,plain,(
% 0.14/0.41 ~sK2_skl=sK3_skl),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f541])).
% 0.14/0.41 fof(f543,plain,(
% 0.14/0.41 reflect(sK2_skl,sK3_skl,sK0_skl)=reflect(sK2_skl,sK3_skl,sK1_skl)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f541])).
% 0.14/0.41 fof(f544,plain,(
% 0.14/0.41 ~sK0_skl=sK1_skl),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f541])).
% 0.14/0.41 fof(f667,plain,(
% 0.14/0.41 ![X0,X1,X2]: (X0=X1|reflect(X0,X1,reflect(X0,X1,X2))=X2)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f535])).
% 0.14/0.41 fof(f674,plain,(
% 0.14/0.41 sK2_skl=sK3_skl|reflect(sK2_skl,sK3_skl,reflect(sK2_skl,sK3_skl,sK1_skl))=sK0_skl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f543,f667])).
% 0.14/0.41 fof(f676,definition,(
% 0.14/0.41 sQ6_spl <=> (sK2_skl=sK3_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f677,plain,(
% 0.14/0.41 sK2_skl=sK3_skl|~sQ6_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f676])).
% 0.14/0.41 fof(f679,definition,(
% 0.14/0.41 sQ7_spl <=> (reflect(sK2_skl,sK3_skl,reflect(sK2_skl,sK3_skl,sK1_skl))=sK0_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f680,plain,(
% 0.14/0.41 reflect(sK2_skl,sK3_skl,reflect(sK2_skl,sK3_skl,sK1_skl))=sK0_skl|~sQ7_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f679])).
% 0.14/0.41 fof(f682,plain,(
% 0.14/0.41 sQ6_spl|sQ7_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f674,f676,f679])).
% 0.14/0.41 fof(f683,plain,(
% 0.14/0.41 $false|~sQ6_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f677,f542])).
% 0.14/0.41 fof(f684,plain,(
% 0.14/0.41 ~sQ6_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f683])).
% 0.14/0.41 fof(f685,plain,(
% 0.14/0.41 sK1_skl=sK0_skl|sK2_skl=sK3_skl|~sQ7_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f667,f680])).
% 0.14/0.41 fof(f688,definition,(
% 0.14/0.41 sQ8_spl <=> (sK1_skl=sK0_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f689,plain,(
% 0.14/0.41 sK1_skl=sK0_skl|~sQ8_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f688])).
% 0.14/0.41 fof(f691,plain,(
% 0.14/0.41 sQ8_spl|sQ6_spl|~sQ7_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f685,f688,f676,f679])).
% 0.14/0.41 fof(f697,plain,(
% 0.14/0.41 $false|~sQ8_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f689,f544])).
% 0.14/0.41 fof(f698,plain,(
% 0.14/0.41 ~sQ8_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f697])).
% 0.14/0.41 fof(f699,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f682,f684,f691,f698])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.070607 seconds
% 0.14/0.44 % CPU time: 0.178673 seconds
% 0.14/0.44 % Total memory used: 84.935 MB
% 0.14/0.44 % Net memory used: 84.684 MB
%------------------------------------------------------------------------------