%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO030-2 : 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 : n020.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 12:25:35 PM UTC 2026
% Result : Unsatisfiable 4.55s 1.19s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO030-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 08:28:46 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 4.55/1.19 % Refutation found
% 4.55/1.19 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.55/1.19 % SZS output start CNFRefutation for theBenchmark
% 4.55/1.19 fof(f1,axiom,(
% 4.55/1.19 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f2,axiom,(
% 4.55/1.19 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f3,axiom,(
% 4.55/1.19 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f6,axiom,(
% 4.55/1.19 (![X,Y,X1,Y1,Z,Z1,V,V1]: (( ~ equidistant(X,Y,X1,Y1)| ~ equidistant(Y,Z,Y1,Z1)| ~ equidistant(X,V,X1,V1)| ~ equidistant(Y,V,Y1,V1)| ~ between(X,Y,Z)| ~ between(X1,Y1,Z1)| X = Y| equidistant(Z,V,Z1,V1) ) ))),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f19,hypothesis,(
% 4.55/1.19 between(u,v,w) ),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f20,hypothesis,(
% 4.55/1.19 equidistant(u,w,u,w1) ),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f21,hypothesis,(
% 4.55/1.19 equidistant(v,w,v,w1) ),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f22,hypothesis,(
% 4.55/1.19 u != v ),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f23,negated_conjecture,(
% 4.55/1.19 w != w1 ),
% 4.55/1.19 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.55/1.19 fof(f24,plain,(
% 4.55/1.19 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f1])).
% 4.55/1.19 fof(f25,plain,(
% 4.55/1.19 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 4.55/1.19 inference(miniscoping,[status(thm)],[f2])).
% 4.55/1.19 fof(f26,plain,(
% 4.55/1.19 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f25])).
% 4.55/1.19 fof(f27,plain,(
% 4.55/1.19 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 4.55/1.19 inference(miniscoping,[status(thm)],[f3])).
% 4.55/1.19 fof(f28,plain,(
% 4.55/1.19 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f27])).
% 4.55/1.19 fof(f31,plain,(
% 4.55/1.19 ![Z,Z1,V,V1]: ((![X,Y]: ((![X1,Y1]: (((((~equidistant(X,Y,X1,Y1)|~equidistant(Y,Z,Y1,Z1))|~equidistant(X,V,X1,V1))|~equidistant(Y,V,Y1,V1))|~between(X,Y,Z))|~between(X1,Y1,Z1)))|X=Y))|equidistant(Z,V,Z1,V1))),
% 4.55/1.19 inference(miniscoping,[status(thm)],[f6])).
% 4.55/1.19 fof(f32,plain,(
% 4.55/1.19 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X1,X4,X3,X5)|~equidistant(X0,X6,X2,X7)|~equidistant(X1,X6,X3,X7)|~between(X0,X1,X4)|~between(X2,X3,X5)|X0=X1|equidistant(X4,X6,X5,X7))),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f31])).
% 4.55/1.19 fof(f46,plain,(
% 4.55/1.19 between(u,v,w)),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f19])).
% 4.55/1.19 fof(f47,plain,(
% 4.55/1.19 equidistant(u,w,u,w1)),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f20])).
% 4.55/1.19 fof(f48,plain,(
% 4.55/1.19 equidistant(v,w,v,w1)),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f21])).
% 4.55/1.19 fof(f49,plain,(
% 4.55/1.19 ~u=v),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f22])).
% 4.55/1.19 fof(f50,plain,(
% 4.55/1.19 ~w=w1),
% 4.55/1.19 inference(cnf_transformation,[status(thm)],[f23])).
% 4.55/1.19 fof(f52,plain,(
% 4.55/1.19 ![X0,X1]: (~equidistant(v,w,X0,X1)|equidistant(v,w1,X0,X1))),
% 4.55/1.19 inference(resolution,[status(thm)],[f26,f48])).
% 4.55/1.19 fof(f54,plain,(
% 4.55/1.19 ![X0,X1]: (~equidistant(u,w,X0,X1)|equidistant(u,w1,X0,X1))),
% 4.55/1.19 inference(resolution,[status(thm)],[f26,f47])).
% 4.55/1.19 fof(f55,plain,(
% 4.55/1.19 ![X0,X1]: (equidistant(X0,X1,X0,X1))),
% 4.55/1.19 inference(resolution,[status(thm)],[f26,f24])).
% 4.55/1.19 fof(f110,plain,(
% 4.55/1.19 ![X0,X1]: (~equidistant(u,v,u,v)|~equidistant(v,w,v,w)|~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,w,X1))),
% 4.55/1.19 inference(resolution,[status(thm)],[f32,f46])).
% 4.55/1.19 fof(f116,plain,(
% 4.55/1.19 ![X0,X1]: (~equidistant(v,w,v,w)|~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,w,X1))),
% 4.55/1.19 inference(forward_subsumption_resolution,[status(thm)],[f110,f55])).
% 4.55/1.19 fof(f126,plain,(
% 4.55/1.19 equidistant(v,w1,v,w)),
% 4.55/1.19 inference(resolution,[status(thm)],[f52,f55])).
% 4.55/1.19 fof(f129,plain,(
% 4.55/1.19 equidistant(u,w1,u,w)),
% 4.55/1.19 inference(resolution,[status(thm)],[f54,f55])).
% 4.55/1.19 fof(f3364,plain,(
% 4.55/1.19 ![X0,X1]: (~equidistant(u,X0,u,X1)|~equidistant(v,X0,v,X1)|u=v|equidistant(w,X0,w,X1))),
% 4.55/1.19 inference(forward_subsumption_resolution,[status(thm)],[f116,f55])).
% 4.55/1.19 fof(f3365,plain,(
% 4.55/1.19 ~equidistant(u,w1,u,w)|u=v|equidistant(w,w1,w,w)),
% 4.55/1.19 inference(resolution,[status(thm)],[f3364,f126])).
% 4.55/1.19 fof(f3378,plain,(
% 4.55/1.19 u=v|equidistant(w,w1,w,w)),
% 4.55/1.19 inference(forward_subsumption_resolution,[status(thm)],[f3365,f129])).
% 4.55/1.19 fof(f3472,plain,(
% 4.55/1.19 equidistant(w,w1,w,w)),
% 4.55/1.19 inference(forward_subsumption_resolution,[status(thm)],[f3378,f49])).
% 4.55/1.19 fof(f3540,plain,(
% 4.55/1.19 w=w1),
% 4.55/1.19 inference(resolution,[status(thm)],[f3472,f28])).
% 4.55/1.19 fof(f3566,plain,(
% 4.55/1.19 $false),
% 4.55/1.19 inference(forward_subsumption_resolution,[status(thm)],[f3540,f50])).
% 4.55/1.19 % SZS output end CNFRefutation for theBenchmark.p
% 0.67/1.21 % Elapsed time: 0.841038 seconds
% 0.67/1.21 % CPU time: 6.158443 seconds
% 0.67/1.21 % Total memory used: 123.620 MB
% 0.67/1.21 % Net memory used: 116.137 MB
%------------------------------------------------------------------------------