%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO048-3 : 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 : n019.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 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO048-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34 % Computer : n019.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sun Sep 20 08:40:04 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.06/0.35 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f9,axiom,(
% 0.11/0.39 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f46,axiom,(
% 0.11/0.39 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f64,hypothesis,(
% 0.11/0.39 between(u,v,w) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f65,hypothesis,(
% 0.11/0.39 between(u1,v1,w) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f66,hypothesis,(
% 0.11/0.39 between(u,x,u1) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f68,negated_conjecture,(
% 0.11/0.39 ~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f80,plain,(
% 0.11/0.39 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.39 fof(f124,plain,(
% 0.11/0.39 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f46])).
% 0.11/0.39 fof(f152,plain,(
% 0.11/0.39 between(u,v,w)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f64])).
% 0.11/0.39 fof(f153,plain,(
% 0.11/0.39 between(u1,v1,w)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f65])).
% 0.11/0.39 fof(f154,plain,(
% 0.11/0.39 between(u,x,u1)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/0.39 fof(f156,plain,(
% 0.11/0.39 ~between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.11/0.39 fof(f170,plain,(
% 0.11/0.39 ~between(v1,inner_pasch(u,x,u1,v1,w),u)|~between(w,v,u)),
% 0.11/0.39 inference(resolution,[status(thm)],[f80,f156])).
% 0.11/0.39 fof(f173,definition,(
% 0.11/0.39 sQ0_spl <=> (between(v1,inner_pasch(u,x,u1,v1,w),u))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f175,plain,(
% 0.11/0.39 ~between(v1,inner_pasch(u,x,u1,v1,w),u)|sQ0_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f173])).
% 0.11/0.39 fof(f176,definition,(
% 0.11/0.39 sQ1_spl <=> (between(w,v,u))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f178,plain,(
% 0.11/0.39 ~between(w,v,u)|sQ1_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f176])).
% 0.11/0.39 fof(f179,plain,(
% 0.11/0.39 ~sQ0_spl|~sQ1_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f170,f173,f176])).
% 0.11/0.39 fof(f185,plain,(
% 0.11/0.39 ~between(u,x,u1)|~between(w,v1,u1)|sQ0_spl),
% 0.11/0.39 inference(resolution,[status(thm)],[f175,f80])).
% 0.11/0.39 fof(f187,definition,(
% 0.11/0.39 sQ2_spl <=> (between(u,x,u1))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f189,plain,(
% 0.11/0.39 ~between(u,x,u1)|sQ2_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f187])).
% 0.11/0.39 fof(f190,definition,(
% 0.11/0.39 sQ3_spl <=> (between(w,v1,u1))),
% 0.11/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.39 fof(f192,plain,(
% 0.11/0.39 ~between(w,v1,u1)|sQ3_spl),
% 0.11/0.39 inference(component_clause,[status(thm)],[f190])).
% 0.11/0.39 fof(f193,plain,(
% 0.11/0.39 ~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.11/0.39 inference(split_clause,[status(thm)],[f185,f187,f190,f173])).
% 0.11/0.40 fof(f194,plain,(
% 0.11/0.40 ~between(u,v,w)|sQ1_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f178,f124])).
% 0.11/0.40 fof(f195,plain,(
% 0.11/0.40 $false|sQ1_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f194,f152])).
% 0.11/0.40 fof(f196,plain,(
% 0.11/0.40 sQ1_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f195])).
% 0.11/0.40 fof(f197,plain,(
% 0.11/0.40 $false|sQ2_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f189,f154])).
% 0.11/0.40 fof(f198,plain,(
% 0.11/0.40 sQ2_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f197])).
% 0.11/0.40 fof(f200,plain,(
% 0.11/0.40 ~between(u1,v1,w)|sQ3_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f192,f124])).
% 0.11/0.40 fof(f201,plain,(
% 0.11/0.40 $false|sQ3_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f200,f153])).
% 0.11/0.40 fof(f202,plain,(
% 0.11/0.40 sQ3_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f201])).
% 0.11/0.40 fof(f203,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(sat_refutation,[status(thm)],[f179,f193,f196,f198,f202])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.070281 seconds
% 0.11/0.42 % CPU time: 0.242365 seconds
% 0.11/0.42 % Total memory used: 104.447 MB
% 0.11/0.42 % Net memory used: 104.241 MB
%------------------------------------------------------------------------------