%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:25:30 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n020.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 08:14:33 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f4,axiom,(
% 0.12/0.41 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f5,axiom,(
% 0.12/0.41 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,axiom,(
% 0.12/0.41 (![X,Y]: (( ~ between(X,Y,X)| X = Y ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,axiom,(
% 0.12/0.41 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f9,axiom,(
% 0.12/0.41 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f19,hypothesis,(
% 0.12/0.41 between(a,b,c) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f20,negated_conjecture,(
% 0.12/0.41 ~ between(c,b,a) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f24,plain,(
% 0.12/0.41 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.12/0.41 fof(f25,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.41 fof(f26,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.41 fof(f27,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f30,plain,(
% 0.12/0.41 ![X0,X1]: (~between(X0,X1,X0)|X0=X1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.41 fof(f31,plain,(
% 0.12/0.41 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.41 fof(f43,plain,(
% 0.12/0.41 between(a,b,c)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.41 fof(f44,plain,(
% 0.12/0.41 ~between(c,b,a)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.41 fof(f51,plain,(
% 0.12/0.41 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.12/0.41 inference(resolution,[status(thm)],[f27,f25])).
% 0.12/0.41 fof(f81,plain,(
% 0.12/0.41 ![X0,X1]: (between(X0,X1,X1))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f51,f26])).
% 0.12/0.41 fof(f92,plain,(
% 0.12/0.41 ![X0,X1]: (~between(X0,X1,c)|between(b,inner_pasch(a,b,c,X1,X0),X0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f31,f43])).
% 0.12/0.41 fof(f95,plain,(
% 0.12/0.41 ![X0,X1]: (~between(X0,X1,c)|between(X1,inner_pasch(a,b,c,X1,X0),a))),
% 0.12/0.41 inference(resolution,[status(thm)],[f32,f43])).
% 0.12/0.41 fof(f114,plain,(
% 0.12/0.41 ![X0]: (between(b,inner_pasch(a,b,c,c,X0),X0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f92,f81])).
% 0.12/0.41 fof(f116,plain,(
% 0.12/0.41 ![X0]: (between(c,inner_pasch(a,b,c,c,X0),a))),
% 0.12/0.41 inference(resolution,[status(thm)],[f95,f81])).
% 0.12/0.41 fof(f123,plain,(
% 0.12/0.41 b=inner_pasch(a,b,c,c,b)),
% 0.12/0.41 inference(resolution,[status(thm)],[f114,f30])).
% 0.12/0.41 fof(f127,plain,(
% 0.12/0.41 between(c,b,a)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f123,f116])).
% 0.12/0.41 fof(f128,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f127,f44])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.068828 seconds
% 0.12/0.43 % CPU time: 0.210094 seconds
% 0.12/0.43 % Total memory used: 81.419 MB
% 0.12/0.43 % Net memory used: 80.936 MB
%------------------------------------------------------------------------------