%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO022-3 : 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 : n011.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 12:25:34 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO022-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n011.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Sun Sep 20 08:17:25 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.10/0.61 % Refutation found
% 0.10/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.61 fof(f2,axiom,(
% 0.10/0.61 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.10/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.61 fof(f20,axiom,(
% 0.10/0.61 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 0.10/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.61 fof(f27,hypothesis,(
% 0.10/0.61 equidistant(u,v,w,x) ),
% 0.10/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.61 fof(f28,hypothesis,(
% 0.10/0.61 equidistant(w,x,y,z) ),
% 0.10/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.61 fof(f29,negated_conjecture,(
% 0.10/0.61 ~ equidistant(u,v,y,z) ),
% 0.10/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.61 fof(f31,plain,(
% 0.10/0.61 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.10/0.61 inference(miniscoping,[status(thm)],[f2])).
% 0.10/0.61 fof(f32,plain,(
% 0.10/0.61 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.10/0.61 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.61 fof(f53,plain,(
% 0.10/0.61 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 0.10/0.61 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.61 fof(f60,plain,(
% 0.10/0.61 equidistant(u,v,w,x)),
% 0.10/0.61 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.61 fof(f61,plain,(
% 0.10/0.61 equidistant(w,x,y,z)),
% 0.10/0.61 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.61 fof(f62,plain,(
% 0.10/0.61 ~equidistant(u,v,y,z)),
% 0.10/0.61 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.61 fof(f65,plain,(
% 0.10/0.61 ![X0,X1]: (~equidistant(X0,X1,u,v)|~equidistant(X0,X1,y,z))),
% 0.10/0.61 inference(resolution,[status(thm)],[f32,f62])).
% 0.10/0.61 fof(f117,plain,(
% 0.10/0.61 equidistant(w,x,u,v)),
% 0.10/0.61 inference(resolution,[status(thm)],[f60,f53])).
% 0.10/0.61 fof(f121,plain,(
% 0.10/0.61 ~equidistant(w,x,u,v)),
% 0.10/0.61 inference(resolution,[status(thm)],[f61,f65])).
% 0.10/0.61 fof(f130,plain,(
% 0.10/0.61 $false),
% 0.10/0.61 inference(forward_subsumption_resolution,[status(thm)],[f121,f117])).
% 0.10/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.63 % Elapsed time: 0.065612 seconds
% 0.13/0.63 % CPU time: 0.211023 seconds
% 0.13/0.63 % Total memory used: 81.284 MB
% 0.13/0.63 % Net memory used: 80.975 MB
%------------------------------------------------------------------------------