%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO063-3 : 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 : n006.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 12:25:41 PM UTC 2026
% Result : Unsatisfiable 19.97s 3.04s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO063-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n006.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 09:15:42 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 19.97/3.04 % Refutation found
% 19.97/3.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 19.97/3.04 % SZS output start CNFRefutation for theBenchmark
% 19.97/3.04 fof(f20,axiom,(
% 19.97/3.04 (![U1,W1,U,V]: (insertion(U1,W1,U,V) = extension(extension(W1,U1,lower_dimension_point_1,lower_dimension_point_2),U1,U,V) ))),
% 19.97/3.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.97/3.04 fof(f41,axiom,(
% 19.97/3.04 (![W,X,Y,Z,U,V]: (( ~ equidistant(W,X,Y,Z)| extension(U,V,W,X) = extension(U,V,Y,Z)| U = V ) ))),
% 19.97/3.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.97/3.04 fof(f62,axiom,(
% 19.97/3.04 (![V,U]: (V != extension(U,V,lower_dimension_point_1,lower_dimension_point_2) ))),
% 19.97/3.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.97/3.04 fof(f75,hypothesis,(
% 19.97/3.04 equidistant(w,x,y,z) ),
% 19.97/3.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.97/3.04 fof(f76,negated_conjecture,(
% 19.97/3.04 insertion(u,v,w,x) != insertion(u,v,y,z) ),
% 19.97/3.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 19.97/3.04 fof(f100,plain,(
% 19.97/3.04 ![X0,X1,X2,X3]: (insertion(X0,X1,X2,X3)=extension(extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2),X0,X2,X3))),
% 19.97/3.04 inference(cnf_transformation,[status(thm)],[f20])).
% 19.97/3.04 fof(f125,plain,(
% 19.97/3.04 ![U,V]: ((![W,X,Y,Z]: (~equidistant(W,X,Y,Z)|extension(U,V,W,X)=extension(U,V,Y,Z)))|U=V)),
% 19.97/3.04 inference(miniscoping,[status(thm)],[f41])).
% 19.97/3.04 fof(f126,plain,(
% 19.97/3.04 ![X0,X1,X2,X3,X4,X5]: (~equidistant(X0,X1,X2,X3)|extension(X4,X5,X0,X1)=extension(X4,X5,X2,X3)|X4=X5)),
% 19.97/3.04 inference(cnf_transformation,[status(thm)],[f125])).
% 19.97/3.04 fof(f158,plain,(
% 19.97/3.04 ![X0,X1]: (~X0=extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2))),
% 19.97/3.04 inference(cnf_transformation,[status(thm)],[f62])).
% 19.97/3.04 fof(f177,plain,(
% 19.97/3.04 equidistant(w,x,y,z)),
% 19.97/3.04 inference(cnf_transformation,[status(thm)],[f75])).
% 19.97/3.04 fof(f178,plain,(
% 19.97/3.04 ~insertion(u,v,w,x)=insertion(u,v,y,z)),
% 19.97/3.04 inference(cnf_transformation,[status(thm)],[f76])).
% 19.97/3.04 fof(f1225,plain,(
% 19.97/3.04 ![X0,X1]: (extension(X0,X1,w,x)=extension(X0,X1,y,z)|X0=X1)),
% 19.97/3.04 inference(resolution,[status(thm)],[f126,f177])).
% 19.97/3.04 fof(f1297,plain,(
% 19.97/3.04 ![X0,X1]: (extension(extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2),X1,w,x)=insertion(X1,X0,y,z)|extension(X0,X1,lower_dimension_point_1,lower_dimension_point_2)=X1)),
% 19.97/3.04 inference(paramodulation,[status(thm)],[f100,f1225])).
% 19.97/3.04 fof(f1307,plain,(
% 19.97/3.04 ![X0,X1]: (insertion(X0,X1,w,x)=insertion(X0,X1,y,z)|extension(X1,X0,lower_dimension_point_1,lower_dimension_point_2)=X0)),
% 19.97/3.04 inference(forward_demodulation,[status(thm)],[f100,f1297])).
% 19.97/3.04 fof(f4421,plain,(
% 19.97/3.04 ~insertion(u,v,w,x)=insertion(u,v,w,x)),
% 19.97/3.04 inference(backward_demodulation,[status(thm)],[f4422,f178])).
% 19.97/3.04 fof(f4422,plain,(
% 19.97/3.04 ![X0,X1]: (insertion(X0,X1,w,x)=insertion(X0,X1,y,z))),
% 19.97/3.04 inference(forward_subsumption_resolution,[status(thm)],[f1307,f158])).
% 19.97/3.04 fof(f4463,plain,(
% 19.97/3.04 $false),
% 19.97/3.04 inference(trivial_equality_resolution,[status(thm)],[f4421])).
% 19.97/3.04 % SZS output end CNFRefutation for theBenchmark.p
% 19.97/3.06 % Elapsed time: 2.593760 seconds
% 19.97/3.06 % CPU time: 20.132533 seconds
% 19.97/3.06 % Total memory used: 165.530 MB
% 19.97/3.06 % Net memory used: 154.852 MB
%------------------------------------------------------------------------------