%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO032-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 149.21s 19.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO032-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 08:24:48 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 149.21/19.41 % Refutation found
% 149.21/19.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 149.21/19.41 % SZS output start CNFRefutation for theBenchmark
% 149.21/19.41 fof(f36,axiom,(
% 149.21/19.41 (![U,V]: (equidistant(U,U,V,V) ))),
% 149.21/19.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 149.21/19.41 fof(f66,axiom,(
% 149.21/19.41 (![U,V,U1,V1,W,W1,X,X1]: (( ~ equidistant(U,V,U1,V1)| ~ equidistant(U,W,U1,W1)| ~ equidistant(U,X,U1,X1)| ~ equidistant(W,X,W1,X1)| ~ between(U,V,W)| ~ between(U1,V1,W1)| equidistant(V,X,V1,X1) ) ))),
% 149.21/19.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 149.21/19.41 fof(f67,hypothesis,(
% 149.21/19.41 between(u,v,w) ),
% 149.21/19.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 149.21/19.41 fof(f68,hypothesis,(
% 149.21/19.41 between(u1,v1,w1) ),
% 149.21/19.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 149.21/19.41 fof(f69,hypothesis,(
% 149.21/19.41 equidistant(u,v,u1,v1) ),
% 149.21/19.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 149.21/19.41 fof(f70,hypothesis,(
% 149.21/19.41 equidistant(u,w,u1,w1) ),
% 149.21/19.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 149.21/19.41 fof(f71,negated_conjecture,(
% 149.21/19.41 ~ equidistant(v,w,v1,w1) ),
% 149.21/19.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 149.21/19.41 fof(f113,plain,(
% 149.21/19.41 ![X0,X1]: (equidistant(X0,X0,X1,X1))),
% 149.21/19.41 inference(cnf_transformation,[status(thm)],[f36])).
% 149.21/19.41 fof(f158,plain,(
% 149.21/19.41 ![V,V1,X,X1]: ((![U1,W1]: ((![U,W]: ((((~equidistant(U,V,U1,V1)|~equidistant(U,W,U1,W1))|~equidistant(U,X,U1,X1))|~equidistant(W,X,W1,X1))|~between(U,V,W)))|~between(U1,V1,W1)))|equidistant(V,X,V1,X1))),
% 149.21/19.41 inference(miniscoping,[status(thm)],[f66])).
% 149.21/19.41 fof(f159,plain,(
% 149.21/19.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~equidistant(X0,X1,X2,X3)|~equidistant(X0,X4,X2,X5)|~equidistant(X0,X6,X2,X7)|~equidistant(X4,X6,X5,X7)|~between(X0,X1,X4)|~between(X2,X3,X5)|equidistant(X1,X6,X3,X7))),
% 149.21/19.41 inference(cnf_transformation,[status(thm)],[f158])).
% 149.21/19.41 fof(f160,plain,(
% 149.21/19.41 between(u,v,w)),
% 149.21/19.41 inference(cnf_transformation,[status(thm)],[f67])).
% 149.21/19.41 fof(f161,plain,(
% 149.21/19.41 between(u1,v1,w1)),
% 149.21/19.41 inference(cnf_transformation,[status(thm)],[f68])).
% 149.21/19.41 fof(f162,plain,(
% 149.21/19.41 equidistant(u,v,u1,v1)),
% 149.21/19.41 inference(cnf_transformation,[status(thm)],[f69])).
% 149.21/19.41 fof(f163,plain,(
% 149.21/19.41 equidistant(u,w,u1,w1)),
% 149.21/19.41 inference(cnf_transformation,[status(thm)],[f70])).
% 149.21/19.41 fof(f164,plain,(
% 149.21/19.41 ~equidistant(v,w,v1,w1)),
% 149.21/19.41 inference(cnf_transformation,[status(thm)],[f71])).
% 149.21/19.41 fof(f501,plain,(
% 149.21/19.41 ![X0,X1,X2,X3]: (~equidistant(u,X0,u1,X1)|~equidistant(u,X2,u1,X3)|~equidistant(X0,X2,X1,X3)|~between(u,v,X0)|~between(u1,v1,X1)|equidistant(v,X2,v1,X3))),
% 149.21/19.41 inference(resolution,[status(thm)],[f159,f162])).
% 149.21/19.41 fof(f8799,plain,(
% 149.21/19.41 ![X0,X1]: (~equidistant(u,X0,u1,X1)|~equidistant(X0,w,X1,w1)|~between(u,v,X0)|~between(u1,v1,X1)|equidistant(v,w,v1,w1))),
% 149.21/19.41 inference(resolution,[status(thm)],[f501,f163])).
% 149.21/19.41 fof(f8869,plain,(
% 149.21/19.41 ![X0,X1]: (~equidistant(u,X0,u1,X1)|~equidistant(X0,w,X1,w1)|~between(u,v,X0)|~between(u1,v1,X1))),
% 149.21/19.41 inference(forward_subsumption_resolution,[status(thm)],[f8799,f164])).
% 149.21/19.41 fof(f9647,plain,(
% 149.21/19.41 ~equidistant(w,w,w1,w1)|~between(u,v,w)|~between(u1,v1,w1)),
% 149.21/19.41 inference(resolution,[status(thm)],[f8869,f163])).
% 149.21/19.41 fof(f9667,plain,(
% 149.21/19.41 ~between(u,v,w)|~between(u1,v1,w1)),
% 149.21/19.41 inference(forward_subsumption_resolution,[status(thm)],[f9647,f113])).
% 149.21/19.41 fof(f10564,plain,(
% 149.21/19.41 ~between(u1,v1,w1)),
% 149.21/19.41 inference(forward_subsumption_resolution,[status(thm)],[f9667,f160])).
% 149.21/19.41 fof(f10565,plain,(
% 149.21/19.41 $false),
% 149.21/19.41 inference(backward_subsumption_resolution,[status(thm)],[f161,f10564])).
% 149.21/19.41 % SZS output end CNFRefutation for theBenchmark.p
% 57.55/19.43 % Elapsed time: 19.034812 seconds
% 57.55/19.43 % CPU time: 150.306295 seconds
% 57.55/19.43 % Total memory used: 277.636 MB
% 57.55/19.43 % Net memory used: 240.617 MB
%------------------------------------------------------------------------------