%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO067-2 : 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 : n004.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 0.08s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO067-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42 % Computer : n004.cluster.edu
% 0.08/0.42 % Model : x86_64 x86_64
% 0.08/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.42 % Memory : 8046.5625MB
% 0.08/0.42 % OS : Linux 6.8.0-71-generic
% 0.08/0.42 % CPULimit : 300
% 0.08/0.42 % WCLimit : 300
% 0.08/0.43 % DateTime : Sun Sep 20 09:25:04 UTC 2026
% 0.08/0.43 % CPUTime :
% 0.08/0.44 % Drodi V4.1.1
% 0.08/0.45 % Refutation found
% 0.08/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.45 fof(f3,axiom,(
% 0.08/0.45 (![X,Y,Z]: (( ~ equidistant(X,Y,Z,Z)| X = Y ) ))),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f4,axiom,(
% 0.08/0.45 (![X,Y,W,V]: (between(X,Y,extension(X,Y,W,V)) ))),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f5,axiom,(
% 0.08/0.45 (![Y,X,W,V]: (equidistant(Y,extension(X,Y,W,V),W,V) ))),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f19,axiom,(
% 0.08/0.45 (![X,Y,Z]: (( ~ between(X,Y,Z)| colinear(X,Y,Z) ) ))),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f20,axiom,(
% 0.08/0.45 (![Y,Z,X]: (( ~ between(Y,Z,X)| colinear(X,Y,Z) ) ))),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f21,axiom,(
% 0.08/0.45 (![Z,X,Y]: (( ~ between(Z,X,Y)| colinear(X,Y,Z) ) ))),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f23,negated_conjecture,(
% 0.08/0.45 ( ~ colinear(x,x,y)| ~ colinear(x,y,x)| ~ colinear(y,x,x)| x = y ) ),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f24,negated_conjecture,(
% 0.08/0.45 ( ~ colinear(x,x,y)| ~ colinear(x,y,x)| ~ colinear(y,x,x)| ~ colinear(x,z,y) ) ),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f28,plain,(
% 0.08/0.45 ![X,Y]: ((![Z]: ~equidistant(X,Y,Z,Z))|X=Y)),
% 0.08/0.45 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.45 fof(f29,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~equidistant(X0,X1,X2,X2)|X0=X1)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.45 fof(f30,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (between(X0,X1,extension(X0,X1,X2,X3)))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.45 fof(f31,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (equidistant(X0,extension(X1,X0,X2,X3),X2,X3))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.45 fof(f47,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X0,X1,X2))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/0.45 fof(f48,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X2,X0,X1))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f20])).
% 0.08/0.45 fof(f49,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X1,X2,X0))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.45 fof(f51,plain,(
% 0.08/0.45 ~colinear(x,x,y)|~colinear(x,y,x)|~colinear(y,x,x)|x=y),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.45 fof(f52,plain,(
% 0.08/0.45 ~colinear(x,x,y)|~colinear(x,y,x)|~colinear(y,x,x)|~colinear(x,z,y)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/0.45 fof(f54,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (colinear(X0,extension(X1,X0,X2,X3),X1))),
% 0.08/0.45 inference(resolution,[status(thm)],[f30,f49])).
% 0.08/0.45 fof(f55,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (colinear(extension(X0,X1,X2,X3),X0,X1))),
% 0.08/0.45 inference(resolution,[status(thm)],[f30,f48])).
% 0.08/0.45 fof(f56,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (colinear(X0,X1,extension(X0,X1,X2,X3)))),
% 0.08/0.45 inference(resolution,[status(thm)],[f30,f47])).
% 0.08/0.45 fof(f60,plain,(
% 0.08/0.45 ![X0,X1,X2]: (X0=extension(X1,X0,X2,X2))),
% 0.08/0.45 inference(resolution,[status(thm)],[f31,f29])).
% 0.08/0.45 fof(f62,plain,(
% 0.08/0.45 ![X0,X1]: (colinear(X0,X1,X1))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f60,f56])).
% 0.08/0.45 fof(f63,plain,(
% 0.08/0.45 ![X0,X1]: (colinear(X0,X1,X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f60,f55])).
% 0.08/0.45 fof(f64,plain,(
% 0.08/0.45 ![X0,X1]: (colinear(X0,X0,X1))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f60,f54])).
% 0.08/0.45 fof(f66,plain,(
% 0.08/0.45 ~colinear(x,x,y)|~colinear(x,y,x)|~colinear(x,z,y)),
% 0.08/0.45 inference(backward_subsumption_resolution,[status(thm)],[f52,f62])).
% 0.08/0.45 fof(f67,plain,(
% 0.08/0.45 ~colinear(x,x,y)|~colinear(x,y,x)|x=y),
% 0.08/0.45 inference(backward_subsumption_resolution,[status(thm)],[f51,f62])).
% 0.08/0.45 fof(f68,plain,(
% 0.08/0.45 ~colinear(x,y,x)|~colinear(x,z,y)),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f66,f64])).
% 0.08/0.45 fof(f69,plain,(
% 0.08/0.45 ~colinear(x,y,x)|x=y),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f67,f64])).
% 0.08/0.45 fof(f78,plain,(
% 0.08/0.45 x=y),
% 0.08/0.45 inference(resolution,[status(thm)],[f69,f63])).
% 0.08/0.45 fof(f80,plain,(
% 0.08/0.45 ~colinear(x,y,x)|~colinear(y,z,y)),
% 0.08/0.45 inference(backward_demodulation,[status(thm)],[f78,f68])).
% 0.08/0.45 fof(f81,plain,(
% 0.08/0.45 ~colinear(y,y,x)|~colinear(y,z,y)),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f78,f80])).
% 0.08/0.45 fof(f82,plain,(
% 0.08/0.45 ~colinear(y,y,y)|~colinear(y,z,y)),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f78,f81])).
% 0.15/0.46 fof(f83,plain,(
% 0.15/0.46 ~colinear(y,z,y)),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f82,f64])).
% 0.15/0.46 fof(f84,plain,(
% 0.15/0.46 $false),
% 0.15/0.46 inference(resolution,[status(thm)],[f83,f63])).
% 0.15/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49 % Elapsed time: 0.052420 seconds
% 0.15/0.49 % CPU time: 0.152049 seconds
% 0.15/0.49 % Total memory used: 80.647 MB
% 0.15/0.49 % Net memory used: 80.326 MB
%------------------------------------------------------------------------------