%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO043-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:25:37 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO043-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 08:35:57 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,axiom,(
% 0.12/0.40 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,axiom,(
% 0.12/0.40 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f7,axiom,(
% 0.12/0.40 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,axiom,(
% 0.12/0.40 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,axiom,(
% 0.12/0.40 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f19,hypothesis,(
% 0.12/0.40 between(u,v,w) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f20,hypothesis,(
% 0.12/0.40 between(u,w,x) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f21,negated_conjecture,(
% 0.12/0.40 ~ between(v,w,x) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f25,plain,(
% 0.12/0.40 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.40 fof(f26,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.40 fof(f27,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f28,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f31,plain,(
% 0.12/0.40 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f32,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f33,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f44,plain,(
% 0.12/0.40 between(u,v,w)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.40 fof(f45,plain,(
% 0.12/0.40 between(u,w,x)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.40 fof(f46,plain,(
% 0.12/0.40 ~between(v,w,x)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.40 fof(f48,plain,(
% 0.12/0.40 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.12/0.40 inference(resolution,[status(thm)],[f28,f26])).
% 0.12/0.40 fof(f50,plain,(
% 0.12/0.40 ![X0,X1]: (between(X0,X1,X1))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f48,f27])).
% 0.12/0.40 fof(f75,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|X1=inner_pasch(X0,X1,X2,X3,X1))),
% 0.12/0.40 inference(resolution,[status(thm)],[f32,f31])).
% 0.12/0.40 fof(f80,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~between(X0,X1,X2)|X1=inner_pasch(X0,X1,X2,X2,X1))),
% 0.12/0.40 inference(resolution,[status(thm)],[f75,f50])).
% 0.12/0.40 fof(f81,plain,(
% 0.12/0.40 w=inner_pasch(u,w,x,x,w)),
% 0.12/0.40 inference(resolution,[status(thm)],[f80,f45])).
% 0.12/0.40 fof(f82,plain,(
% 0.12/0.40 v=inner_pasch(u,v,w,w,v)),
% 0.12/0.40 inference(resolution,[status(thm)],[f80,f44])).
% 0.12/0.40 fof(f88,plain,(
% 0.12/0.40 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X3,X0,X2)|X0=inner_pasch(X0,X1,X2,X0,X3))),
% 0.12/0.40 inference(resolution,[status(thm)],[f33,f31])).
% 0.12/0.40 fof(f185,plain,(
% 0.12/0.40 ~between(u,w,x)|~between(w,x,x)|between(x,w,u)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f81,f33])).
% 0.12/0.40 fof(f187,definition,(
% 0.12/0.40 sQ0_spl <=> (between(u,w,x))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f189,plain,(
% 0.12/0.40 ~between(u,w,x)|sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f187])).
% 0.12/0.40 fof(f190,definition,(
% 0.12/0.40 sQ1_spl <=> (between(w,x,x))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f192,plain,(
% 0.12/0.40 ~between(w,x,x)|sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f190])).
% 0.12/0.40 fof(f193,definition,(
% 0.12/0.40 sQ2_spl <=> (between(x,w,u))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f194,plain,(
% 0.12/0.40 between(x,w,u)|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f193])).
% 0.12/0.40 fof(f196,plain,(
% 0.12/0.40 ~sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f185,f187,f190,f193])).
% 0.12/0.40 fof(f201,plain,(
% 0.12/0.40 $false|sQ1_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f192,f50])).
% 0.12/0.40 fof(f202,plain,(
% 0.12/0.40 sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f201])).
% 0.12/0.40 fof(f203,plain,(
% 0.12/0.40 $false|sQ0_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f189,f45])).
% 0.12/0.40 fof(f204,plain,(
% 0.12/0.40 sQ0_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f203])).
% 0.12/0.40 fof(f206,plain,(
% 0.12/0.40 ![X0]: (~between(w,X0,u)|w=inner_pasch(w,X0,u,w,x)|~sQ2_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f194,f88])).
% 0.12/0.40 fof(f210,plain,(
% 0.12/0.40 ~between(u,v,w)|~between(v,w,w)|between(w,v,u)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f82,f33])).
% 0.12/0.40 fof(f212,definition,(
% 0.12/0.40 sQ4_spl <=> (between(u,v,w))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f214,plain,(
% 0.12/0.40 ~between(u,v,w)|sQ4_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f212])).
% 0.12/0.40 fof(f215,definition,(
% 0.12/0.40 sQ5_spl <=> (between(v,w,w))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f217,plain,(
% 0.12/0.40 ~between(v,w,w)|sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f215])).
% 0.12/0.40 fof(f218,definition,(
% 0.12/0.40 sQ6_spl <=> (between(w,v,u))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f219,plain,(
% 0.12/0.40 between(w,v,u)|~sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f218])).
% 0.12/0.40 fof(f221,plain,(
% 0.12/0.40 ~sQ4_spl|~sQ5_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f210,f212,f215,f218])).
% 0.12/0.40 fof(f226,plain,(
% 0.12/0.40 $false|sQ5_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f217,f50])).
% 0.12/0.40 fof(f227,plain,(
% 0.12/0.40 sQ5_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f226])).
% 0.12/0.40 fof(f228,plain,(
% 0.12/0.40 $false|sQ4_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f214,f44])).
% 0.12/0.40 fof(f229,plain,(
% 0.12/0.40 sQ4_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f228])).
% 0.12/0.40 fof(f498,plain,(
% 0.12/0.40 w=inner_pasch(w,v,u,w,x)|~sQ2_spl|~sQ6_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f206,f219])).
% 0.12/0.40 fof(f504,plain,(
% 0.12/0.40 ~between(w,v,u)|~between(x,w,u)|between(v,w,x)|~sQ2_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f498,f32])).
% 0.12/0.40 fof(f506,definition,(
% 0.12/0.40 sQ19_spl <=> (between(v,w,x))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f507,plain,(
% 0.12/0.40 between(v,w,x)|~sQ19_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f506])).
% 0.12/0.40 fof(f509,plain,(
% 0.12/0.40 ~sQ6_spl|~sQ2_spl|sQ19_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f504,f218,f193,f506])).
% 0.12/0.40 fof(f510,plain,(
% 0.12/0.40 $false|~sQ19_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f507,f46])).
% 0.12/0.40 fof(f511,plain,(
% 0.12/0.40 ~sQ19_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f510])).
% 0.12/0.40 fof(f512,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f196,f202,f204,f221,f227,f229,f509,f511])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.067788 seconds
% 0.12/0.42 % CPU time: 0.280331 seconds
% 0.12/0.42 % Total memory used: 82.570 MB
% 0.12/0.42 % Net memory used: 82.052 MB
%------------------------------------------------------------------------------