%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO042-3 : 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 : n012.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 6.29s 1.23s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO042-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sun Sep 20 08:35:07 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 6.29/1.23 % Refutation found
% 6.29/1.23 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.29/1.23 % SZS output start CNFRefutation for theBenchmark
% 6.29/1.23 fof(f7,axiom,(
% 6.29/1.23 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 6.29/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.29/1.23 fof(f8,axiom,(
% 6.29/1.23 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 6.29/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.29/1.23 fof(f9,axiom,(
% 6.29/1.23 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 6.29/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.29/1.23 fof(f46,axiom,(
% 6.29/1.23 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 6.29/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.29/1.23 fof(f52,hypothesis,(
% 6.29/1.23 between(u,v,x) ),
% 6.29/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.29/1.23 fof(f53,hypothesis,(
% 6.29/1.23 between(v,w,x) ),
% 6.29/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.29/1.23 fof(f54,negated_conjecture,(
% 6.29/1.23 ~ between(u,v,w) ),
% 6.29/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.29/1.23 fof(f64,plain,(
% 6.29/1.23 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 6.29/1.23 inference(cnf_transformation,[status(thm)],[f7])).
% 6.29/1.23 fof(f65,plain,(
% 6.29/1.23 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 6.29/1.23 inference(cnf_transformation,[status(thm)],[f8])).
% 6.29/1.23 fof(f66,plain,(
% 6.29/1.23 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 6.29/1.23 inference(cnf_transformation,[status(thm)],[f9])).
% 6.29/1.23 fof(f110,plain,(
% 6.29/1.23 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 6.29/1.23 inference(cnf_transformation,[status(thm)],[f46])).
% 6.29/1.23 fof(f120,plain,(
% 6.29/1.23 between(u,v,x)),
% 6.29/1.23 inference(cnf_transformation,[status(thm)],[f52])).
% 6.29/1.23 fof(f121,plain,(
% 6.29/1.23 between(v,w,x)),
% 6.29/1.23 inference(cnf_transformation,[status(thm)],[f53])).
% 6.29/1.23 fof(f122,plain,(
% 6.29/1.23 ~between(u,v,w)),
% 6.29/1.23 inference(cnf_transformation,[status(thm)],[f54])).
% 6.29/1.23 fof(f130,plain,(
% 6.29/1.23 ~between(w,v,u)),
% 6.29/1.23 inference(resolution,[status(thm)],[f110,f122])).
% 6.29/1.23 fof(f233,plain,(
% 6.29/1.23 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|X1=inner_pasch(X0,X1,X2,X3,X1))),
% 6.29/1.23 inference(resolution,[status(thm)],[f65,f64])).
% 6.29/1.23 fof(f384,plain,(
% 6.29/1.23 ![X0]: (~between(X0,v,x)|v=inner_pasch(X0,v,x,w,v))),
% 6.29/1.23 inference(resolution,[status(thm)],[f233,f121])).
% 6.29/1.23 fof(f616,definition,(
% 6.29/1.23 sQ10_spl <=> (between(u,v,x))),
% 6.29/1.23 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 6.29/1.23 fof(f618,plain,(
% 6.29/1.23 ~between(u,v,x)|sQ10_spl),
% 6.29/1.23 inference(component_clause,[status(thm)],[f616])).
% 6.29/1.23 fof(f648,plain,(
% 6.29/1.23 $false|sQ10_spl),
% 6.29/1.23 inference(forward_subsumption_resolution,[status(thm)],[f618,f120])).
% 6.29/1.23 fof(f649,plain,(
% 6.29/1.23 sQ10_spl),
% 6.29/1.23 inference(contradiction_clause,[status(thm)],[f648])).
% 6.29/1.23 fof(f1032,definition,(
% 6.29/1.23 sQ26_spl <=> (between(v,w,x))),
% 6.29/1.23 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 6.29/1.23 fof(f1034,plain,(
% 6.29/1.23 ~between(v,w,x)|sQ26_spl),
% 6.29/1.23 inference(component_clause,[status(thm)],[f1032])).
% 6.29/1.23 fof(f1065,plain,(
% 6.29/1.23 $false|sQ26_spl),
% 6.29/1.23 inference(forward_subsumption_resolution,[status(thm)],[f1034,f121])).
% 6.29/1.23 fof(f1066,plain,(
% 6.29/1.23 sQ26_spl),
% 6.29/1.23 inference(contradiction_clause,[status(thm)],[f1065])).
% 6.29/1.23 fof(f2513,plain,(
% 6.29/1.23 v=inner_pasch(u,v,x,w,v)),
% 6.29/1.23 inference(resolution,[status(thm)],[f384,f120])).
% 6.29/1.23 fof(f2892,plain,(
% 6.29/1.23 ~between(u,v,x)|~between(v,w,x)|between(w,v,u)),
% 6.29/1.23 inference(paramodulation,[status(thm)],[f2513,f66])).
% 6.29/1.23 fof(f2914,definition,(
% 6.29/1.23 sQ115_spl <=> (between(w,v,u))),
% 6.29/1.23 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 6.29/1.23 fof(f2915,plain,(
% 6.29/1.23 between(w,v,u)|~sQ115_spl),
% 6.29/1.23 inference(component_clause,[status(thm)],[f2914])).
% 6.29/1.23 fof(f2917,plain,(
% 6.29/1.23 ~sQ10_spl|~sQ26_spl|sQ115_spl),
% 6.29/1.23 inference(split_clause,[status(thm)],[f2892,f616,f1032,f2914])).
% 6.29/1.23 fof(f2919,plain,(
% 6.29/1.23 $false|~sQ115_spl),
% 6.29/1.23 inference(forward_subsumption_resolution,[status(thm)],[f2915,f130])).
% 6.29/1.23 fof(f2920,plain,(
% 6.29/1.23 ~sQ115_spl),
% 6.29/1.23 inference(contradiction_clause,[status(thm)],[f2919])).
% 6.29/1.23 fof(f2921,plain,(
% 6.29/1.23 $false),
% 6.29/1.23 inference(sat_refutation,[status(thm)],[f649,f1066,f2917,f2920])).
% 6.29/1.23 % SZS output end CNFRefutation for theBenchmark.p
% 6.29/1.24 % Elapsed time: 0.944558 seconds
% 6.29/1.24 % CPU time: 7.262450 seconds
% 6.29/1.24 % Total memory used: 164.839 MB
% 6.29/1.24 % Net memory used: 152.792 MB
%------------------------------------------------------------------------------