%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO048-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:25:38 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO048-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n004.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 08:39:41 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.14/5.42 % Refutation found
% 0.14/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.42 fof(f3,axiom,(
% 0.14/5.42 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f4,axiom,(
% 0.14/5.42 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f5,axiom,(
% 0.14/5.42 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f7,axiom,(
% 0.14/5.42 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f8,axiom,(
% 0.14/5.42 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f9,axiom,(
% 0.14/5.42 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f19,hypothesis,(
% 0.14/5.42 between(u,v,w) ),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f20,hypothesis,(
% 0.14/5.42 between(u1,v1,w) ),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f21,hypothesis,(
% 0.14/5.42 between(u,x,u1) ),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f23,negated_conjecture,(
% 0.14/5.42 ~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1) ),
% 0.14/5.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f27,plain,(
% 0.14/5.42 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.14/5.42 inference(miniscoping,[status(thm)],[f3])).
% 0.14/5.42 fof(f28,plain,(
% 0.14/5.42 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/5.42 fof(f29,plain,(
% 0.14/5.42 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.42 fof(f30,plain,(
% 0.14/5.42 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.42 fof(f33,plain,(
% 0.14/5.42 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/5.42 fof(f34,plain,(
% 0.14/5.42 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/5.42 fof(f35,plain,(
% 0.14/5.42 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/5.42 fof(f46,plain,(
% 0.14/5.42 between(u,v,w)),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/5.42 fof(f47,plain,(
% 0.14/5.42 between(u1,v1,w)),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/5.42 fof(f48,plain,(
% 0.14/5.42 between(u,x,u1)),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/5.42 fof(f50,plain,(
% 0.14/5.42 ~between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1)),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/5.42 fof(f51,plain,(
% 0.14/5.42 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|X1=inner_pasch(X0,X1,X2,X3,X1))),
% 0.14/5.42 inference(resolution,[status(thm)],[f34,f33])).
% 0.14/5.42 fof(f56,plain,(
% 0.14/5.42 ~between(v1,inner_pasch(u,x,u1,v1,w),u)|~between(w,v,u)),
% 0.14/5.42 inference(resolution,[status(thm)],[f35,f50])).
% 0.14/5.42 fof(f59,definition,(
% 0.14/5.42 sQ0_spl <=> (between(v1,inner_pasch(u,x,u1,v1,w),u))),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f61,plain,(
% 0.14/5.42 ~between(v1,inner_pasch(u,x,u1,v1,w),u)|sQ0_spl),
% 0.14/5.42 inference(component_clause,[status(thm)],[f59])).
% 0.14/5.42 fof(f62,definition,(
% 0.14/5.42 sQ1_spl <=> (between(w,v,u))),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f65,plain,(
% 0.14/5.42 ~sQ0_spl|~sQ1_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f56,f59,f62])).
% 0.14/5.42 fof(f71,plain,(
% 0.14/5.42 ~between(u,x,u1)|~between(w,v1,u1)|sQ0_spl),
% 0.14/5.42 inference(resolution,[status(thm)],[f61,f35])).
% 0.14/5.42 fof(f72,definition,(
% 0.14/5.42 sQ2_spl <=> (between(u,x,u1))),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f74,plain,(
% 0.14/5.42 ~between(u,x,u1)|sQ2_spl),
% 0.14/5.42 inference(component_clause,[status(thm)],[f72])).
% 0.14/5.42 fof(f75,definition,(
% 0.14/5.42 sQ3_spl <=> (between(w,v1,u1))),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f78,plain,(
% 0.14/5.42 ~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f71,f72,f75,f59])).
% 0.14/5.42 fof(f82,plain,(
% 0.14/5.42 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.14/5.42 inference(resolution,[status(thm)],[f30,f28])).
% 0.14/5.42 fof(f84,plain,(
% 0.14/5.42 ![X0,X1]: (between(X0,X1,X1))),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f82,f29])).
% 0.14/5.42 fof(f86,plain,(
% 0.14/5.42 ![X0,X1,X2]: (~between(X0,X1,X2)|X1=inner_pasch(X0,X1,X2,X2,X1))),
% 0.14/5.42 inference(resolution,[status(thm)],[f84,f51])).
% 0.14/5.42 fof(f120,plain,(
% 0.14/5.42 v1=inner_pasch(u1,v1,w,w,v1)),
% 0.14/5.42 inference(resolution,[status(thm)],[f86,f47])).
% 0.14/5.42 fof(f122,plain,(
% 0.14/5.42 v=inner_pasch(u,v,w,w,v)),
% 0.14/5.42 inference(resolution,[status(thm)],[f86,f46])).
% 0.14/5.42 fof(f216,definition,(
% 0.14/5.42 sQ5_spl <=> (between(u,v,w))),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f218,plain,(
% 0.14/5.42 ~between(u,v,w)|sQ5_spl),
% 0.14/5.42 inference(component_clause,[status(thm)],[f216])).
% 0.14/5.42 fof(f227,plain,(
% 0.14/5.42 $false|sQ5_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f218,f46])).
% 0.14/5.42 fof(f228,plain,(
% 0.14/5.42 sQ5_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f227])).
% 0.14/5.42 fof(f279,plain,(
% 0.14/5.42 $false|sQ2_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f74,f48])).
% 0.14/5.42 fof(f280,plain,(
% 0.14/5.42 sQ2_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f279])).
% 0.14/5.42 fof(f288,definition,(
% 0.14/5.42 sQ11_spl <=> (between(u1,v1,w))),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f290,plain,(
% 0.14/5.42 ~between(u1,v1,w)|sQ11_spl),
% 0.14/5.42 inference(component_clause,[status(thm)],[f288])).
% 0.14/5.42 fof(f299,plain,(
% 0.14/5.42 $false|sQ11_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f290,f47])).
% 0.14/5.42 fof(f300,plain,(
% 0.14/5.42 sQ11_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f299])).
% 0.14/5.42 fof(f303,plain,(
% 0.14/5.42 ~between(u1,v1,w)|~between(v1,w,w)|between(w,v1,u1)),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f120,f35])).
% 0.14/5.42 fof(f305,definition,(
% 0.14/5.42 sQ14_spl <=> (between(v1,w,w))),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f307,plain,(
% 0.14/5.42 ~between(v1,w,w)|sQ14_spl),
% 0.14/5.42 inference(component_clause,[status(thm)],[f305])).
% 0.14/5.42 fof(f308,plain,(
% 0.14/5.42 ~sQ11_spl|~sQ14_spl|sQ3_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f303,f288,f305,f75])).
% 0.14/5.42 fof(f313,plain,(
% 0.14/5.42 $false|sQ14_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f307,f84])).
% 0.14/5.42 fof(f314,plain,(
% 0.14/5.42 sQ14_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f313])).
% 0.14/5.42 fof(f356,plain,(
% 0.14/5.42 ~between(u,v,w)|~between(v,w,w)|between(w,v,u)),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f122,f35])).
% 0.14/5.42 fof(f358,definition,(
% 0.14/5.42 sQ19_spl <=> (between(v,w,w))),
% 0.14/5.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/5.42 fof(f360,plain,(
% 0.14/5.42 ~between(v,w,w)|sQ19_spl),
% 0.14/5.42 inference(component_clause,[status(thm)],[f358])).
% 0.14/5.42 fof(f361,plain,(
% 0.14/5.42 ~sQ5_spl|~sQ19_spl|sQ1_spl),
% 0.14/5.42 inference(split_clause,[status(thm)],[f356,f216,f358,f62])).
% 0.14/5.42 fof(f366,plain,(
% 0.14/5.42 $false|sQ19_spl),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f360,f84])).
% 0.14/5.42 fof(f367,plain,(
% 0.14/5.42 sQ19_spl),
% 0.14/5.42 inference(contradiction_clause,[status(thm)],[f366])).
% 0.14/5.42 fof(f368,plain,(
% 0.14/5.42 $false),
% 0.14/5.42 inference(sat_refutation,[status(thm)],[f65,f78,f228,f280,f300,f308,f314,f361,f367])).
% 0.14/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.45 % Elapsed time: 0.072834 seconds
% 0.14/5.45 % CPU time: 0.315992 seconds
% 0.14/5.45 % Total memory used: 83.554 MB
% 0.14/5.45 % Net memory used: 83.043 MB
%------------------------------------------------------------------------------