%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO035-3 : 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 : n017.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 12:25:36 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO035-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 08:24:10 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % 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(f1,axiom,(
% 0.11/0.39 (![X,Y]: (equidistant(X,Y,Y,X) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f2,axiom,(
% 0.11/0.39 (![X,Y,Z,V,V2,W]: (( ~ equidistant(X,Y,Z,V)| ~ equidistant(X,Y,V2,W)| equidistant(Z,V,V2,W) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f3,axiom,(
% 0.11/0.39 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f5,axiom,(
% 0.11/0.39 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f28,negated_conjecture,(
% 0.11/0.39 v != extension(u,v,w,w) ),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f29,plain,(
% 0.11/0.39 ![X0,X1]: (equidistant(X0,X1,X1,X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.39 fof(f30,plain,(
% 0.11/0.39 ![Z,V,V2,W]: ((![X,Y]: (~equidistant(X,Y,Z,V)|~equidistant(X,Y,V2,W)))|equidistant(Z,V,V2,W))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.11/0.39 fof(f31,plain,(
% 0.11/0.39 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X1,X4,X5)|equidistant(X2,X3,X4,X5))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/0.39 fof(f32,plain,(
% 0.11/0.39 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.11/0.39 fof(f33,plain,(
% 0.11/0.39 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.11/0.39 fof(f35,plain,(
% 0.11/0.39 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.39 fof(f61,plain,(
% 0.11/0.39 ~v=extension(u,v,w,w)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.39 fof(f62,plain,(
% 0.11/0.39 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,extension(X1,X0,X2,X3),X4,X5)|equidistant(X4,X5,X2,X3))),
% 0.11/0.39 inference(resolution,[status(thm)],[f31,f35])).
% 0.11/0.39 fof(f70,plain,(
% 0.11/0.39 ![X0,X1,X2,X3]: (equidistant(extension(X0,X1,X2,X3),X1,X2,X3))),
% 0.11/0.39 inference(resolution,[status(thm)],[f62,f29])).
% 0.11/0.39 fof(f77,plain,(
% 0.11/0.39 ![X0,X1,X2]: (extension(X0,X1,X2,X2)=X1)),
% 0.11/0.39 inference(resolution,[status(thm)],[f33,f70])).
% 0.11/0.39 fof(f82,plain,(
% 0.11/0.39 ~v=v),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f77,f61])).
% 0.11/0.39 fof(f88,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(trivial_equality_resolution,[status(thm)],[f82])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.043161 seconds
% 0.11/0.41 % CPU time: 0.124657 seconds
% 0.11/0.41 % Total memory used: 55.403 MB
% 0.11/0.41 % Net memory used: 55.229 MB
%------------------------------------------------------------------------------