%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO002-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 0.13s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO002-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 08:17:35 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.50 % Refutation found
% 0.13/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.50 fof(f1,axiom,(
% 0.13/0.50 (![X,Y,V,Z]: (( ~ between(X,Y,V)| ~ between(Y,Z,V)| between(X,Y,Z) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f2,axiom,(
% 0.13/0.50 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| equalish(X,Y) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f3,axiom,(
% 0.13/0.50 (![X,W,V,Y,Z]: (( ~ between(X,W,V)| ~ between(Y,V,Z)| between(X,outer_pasch(W,X,Y,Z,V),Y) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f4,axiom,(
% 0.13/0.50 (![X,W,V,Y,Z]: (( ~ between(X,W,V)| ~ between(Y,V,Z)| between(Z,W,outer_pasch(W,X,Y,Z,V)) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f5,axiom,(
% 0.13/0.50 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f6,axiom,(
% 0.13/0.50 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f7,axiom,(
% 0.13/0.50 (![X,Y,W,Z]: (( ~ equalish(X,Y)| ~ between(W,Z,X)| between(W,Z,Y) ) ))),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f8,negated_conjecture,(
% 0.13/0.50 ~ between(a,a,b) ),
% 0.13/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f9,plain,(
% 0.13/0.50 ![X,Y,Z]: ((![V]: (~between(X,Y,V)|~between(Y,Z,V)))|between(X,Y,Z))),
% 0.13/0.50 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.50 fof(f10,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|between(X0,X1,X3))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.50 fof(f11,plain,(
% 0.13/0.50 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|equalish(X,Y))),
% 0.13/0.50 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.50 fof(f12,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|equalish(X0,X1))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.50 fof(f13,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X2,X4)|between(X0,outer_pasch(X1,X0,X3,X4,X2),X3))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.50 fof(f14,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X2,X4)|between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.50 fof(f15,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.50 fof(f16,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.50 fof(f17,plain,(
% 0.13/0.50 ![Y,W,Z]: ((![X]: (~equalish(X,Y)|~between(W,Z,X)))|between(W,Z,Y))),
% 0.13/0.50 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.50 fof(f18,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~between(X2,X3,X0)|between(X2,X3,X1))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.50 fof(f19,plain,(
% 0.13/0.50 ~between(a,a,b)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.50 fof(f20,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4]: (~between(X0,X1,extension(X1,X2,X3,X4))|between(X0,X1,X2))),
% 0.13/0.50 inference(resolution,[status(thm)],[f15,f10])).
% 0.13/0.50 fof(f21,plain,(
% 0.13/0.50 ![X0]: (between(X0,X0,X0))),
% 0.13/0.50 inference(resolution,[status(thm)],[f20,f15])).
% 0.13/0.50 fof(f23,plain,(
% 0.13/0.50 ![X0,X1,X2]: (equalish(X0,extension(X1,X0,X2,X2)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f16,f12])).
% 0.13/0.50 fof(f24,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|between(X0,X1,extension(X3,X2,X4,X4)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f18,f23])).
% 0.13/0.50 fof(f26,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4,X5]: (~between(X0,X1,X2)|~between(X3,X0,extension(X4,X2,X5,X5))|between(X3,X0,X1))),
% 0.13/0.50 inference(resolution,[status(thm)],[f24,f10])).
% 0.13/0.50 fof(f28,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~between(X0,X1,X0)|between(X2,X0,X1))),
% 0.13/0.50 inference(resolution,[status(thm)],[f26,f15])).
% 0.13/0.50 fof(f30,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4]: (between(X0,extension(X1,X2,X3,X3),X4)|~between(extension(X1,X2,X3,X3),X4,X2))),
% 0.13/0.50 inference(resolution,[status(thm)],[f28,f24])).
% 0.13/0.50 fof(f31,plain,(
% 0.13/0.50 ![X0,X1]: (between(X0,X1,X1))),
% 0.13/0.50 inference(resolution,[status(thm)],[f28,f21])).
% 0.13/0.50 fof(f38,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (between(X0,extension(X1,X2,X3,X3),X2))),
% 0.13/0.50 inference(resolution,[status(thm)],[f30,f31])).
% 0.13/0.50 fof(f41,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (between(X0,X1,extension(X2,X1,X3,X3)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f38,f28])).
% 0.13/0.50 fof(f43,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4,X5]: (between(X0,extension(X1,extension(X2,X3,X4,X4),X5,X5),X3))),
% 0.13/0.50 inference(resolution,[status(thm)],[f41,f30])).
% 0.13/0.50 fof(f55,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4,X5]: (between(X0,X1,extension(X2,extension(X3,X1,X4,X4),X5,X5)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f43,f28])).
% 0.13/0.50 fof(f87,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4,X5]: (~between(X0,X1,X2)|~between(X3,X2,X4)|~between(X5,X0,X3)|between(X5,X0,outer_pasch(X1,X0,X3,X4,X2)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f13,f10])).
% 0.13/0.50 fof(f91,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4,X5,X6]: (~between(X0,X1,X2)|~between(X3,X2,X4)|~between(X5,X0,X3)|~between(X6,X5,outer_pasch(X1,X0,X3,X4,X2))|between(X6,X5,X0))),
% 0.13/0.50 inference(resolution,[status(thm)],[f87,f10])).
% 0.13/0.50 fof(f168,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X2,X4)|~between(X1,X0,X3)|between(X4,X1,X0)|~between(X0,X1,X2)|~between(X3,X2,X4))),
% 0.13/0.50 inference(resolution,[status(thm)],[f91,f14])).
% 0.13/0.50 fof(f172,plain,(
% 0.13/0.50 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X2,X4)|~between(X1,X0,X3)|between(X4,X1,X0))),
% 0.13/0.50 inference(duplicate_literals_removal,[status(thm)],[f168])).
% 0.13/0.50 fof(f376,plain,(
% 0.13/0.50 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X0,X3)|between(X2,X1,X0))),
% 0.13/0.50 inference(resolution,[status(thm)],[f172,f31])).
% 0.13/0.50 fof(f429,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 0.13/0.50 inference(resolution,[status(thm)],[f376,f55])).
% 0.13/0.50 fof(f450,plain,(
% 0.13/0.50 ![X0,X1]: (between(X0,X0,X1))),
% 0.13/0.50 inference(resolution,[status(thm)],[f429,f31])).
% 0.13/0.50 fof(f452,plain,(
% 0.13/0.50 $false),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f19,f450])).
% 0.13/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.51 % Elapsed time: 0.150520 seconds
% 0.13/0.51 % CPU time: 1.001443 seconds
% 0.13/0.51 % Total memory used: 65.127 MB
% 0.13/0.51 % Net memory used: 63.430 MB
%------------------------------------------------------------------------------