%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO017-3 : 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 12:25:33 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO017-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Sun Sep 20 08:16:52 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.32 % Refutation found
% 0.04/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.32 fof(f20,axiom,(
% 0.04/0.32 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(W,X,U,V) ) ))),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f21,axiom,(
% 0.04/0.32 (![U,V,W,X]: (( ~ equidistant(U,V,W,X)| equidistant(V,U,W,X) ) ))),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f22,hypothesis,(
% 0.04/0.32 equidistant(u,v,w,x) ),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f23,negated_conjecture,(
% 0.04/0.32 ~ equidistant(u,v,x,w) ),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f47,plain,(
% 0.04/0.32 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X2,X3,X0,X1))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f20])).
% 0.04/0.32 fof(f48,plain,(
% 0.04/0.32 ![X0,X1,X2,X3]: (~equidistant(X0,X1,X2,X3)|equidistant(X1,X0,X2,X3))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f21])).
% 0.04/0.32 fof(f49,plain,(
% 0.04/0.32 equidistant(u,v,w,x)),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f22])).
% 0.04/0.32 fof(f50,plain,(
% 0.04/0.32 ~equidistant(u,v,x,w)),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f23])).
% 0.04/0.32 fof(f60,plain,(
% 0.04/0.32 ~equidistant(x,w,u,v)),
% 0.04/0.32 inference(resolution,[status(thm)],[f47,f50])).
% 0.04/0.32 fof(f69,plain,(
% 0.04/0.32 ~equidistant(w,x,u,v)),
% 0.04/0.32 inference(resolution,[status(thm)],[f48,f60])).
% 0.04/0.32 fof(f75,plain,(
% 0.04/0.32 ~equidistant(u,v,w,x)),
% 0.04/0.32 inference(resolution,[status(thm)],[f69,f47])).
% 0.04/0.32 fof(f77,plain,(
% 0.04/0.32 $false),
% 0.04/0.32 inference(forward_subsumption_resolution,[status(thm)],[f75,f49])).
% 0.04/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.34 % Elapsed time: 0.039935 seconds
% 0.07/0.34 % CPU time: 0.095586 seconds
% 0.07/0.34 % Total memory used: 80.657 MB
% 0.07/0.34 % Net memory used: 80.312 MB
%------------------------------------------------------------------------------