%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO010-3 : 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 : n019.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 12:25:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO010-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 08:16:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f19,axiom,(
% 0.13/0.40 (![X,Y,Z]: (( ~ between(X,Y,Z)| colinear(X,Y,Z) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f20,axiom,(
% 0.13/0.40 (![Y,Z,X]: (( ~ between(Y,Z,X)| colinear(X,Y,Z) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f21,axiom,(
% 0.13/0.40 (![Z,X,Y]: (( ~ between(Z,X,Y)| colinear(X,Y,Z) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,axiom,(
% 0.13/0.40 (![X,Y,Z]: (( ~ colinear(X,Y,Z)| between(X,Y,Z)| between(Y,Z,X)| between(Z,X,Y) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f88,axiom,(
% 0.13/0.40 (![W,V,U]: (( ~ between(W,V,U)| colinear(U,V,W) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f89,axiom,(
% 0.13/0.40 (![U,W,V]: (( ~ between(U,W,V)| colinear(U,V,W) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f90,axiom,(
% 0.13/0.40 (![V,U,W]: (( ~ between(V,U,W)| colinear(U,V,W) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f91,hypothesis,(
% 0.13/0.40 colinear(a,b,c) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f92,negated_conjecture,(
% 0.13/0.40 ( ~ colinear(a,c,b)| ~ colinear(b,a,c)| ~ colinear(b,c,a)| ~ colinear(c,a,b)| ~ colinear(c,b,a) ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X0,X1,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X2,X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.40 fof(f117,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X1,X2,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~colinear(X0,X1,X2)|between(X0,X1,X2)|between(X1,X2,X0)|between(X2,X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X2,X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f88])).
% 0.13/0.40 fof(f216,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X0,X2,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f89])).
% 0.13/0.40 fof(f217,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~between(X0,X1,X2)|colinear(X1,X0,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.40 fof(f218,plain,(
% 0.13/0.40 colinear(a,b,c)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f91])).
% 0.13/0.40 fof(f219,plain,(
% 0.13/0.40 ~colinear(a,c,b)|~colinear(b,a,c)|~colinear(b,c,a)|~colinear(c,a,b)|~colinear(c,b,a)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f92])).
% 0.13/0.40 fof(f223,plain,(
% 0.13/0.40 between(a,b,c)|between(b,c,a)|between(c,a,b)),
% 0.13/0.40 inference(resolution,[status(thm)],[f118,f218])).
% 0.13/0.40 fof(f236,plain,(
% 0.13/0.40 between(a,b,c)|between(b,c,a)|colinear(a,c,b)),
% 0.13/0.40 inference(resolution,[status(thm)],[f223,f217])).
% 0.13/0.40 fof(f237,plain,(
% 0.13/0.40 between(a,b,c)|between(b,c,a)|colinear(c,b,a)),
% 0.13/0.40 inference(resolution,[status(thm)],[f223,f216])).
% 0.13/0.40 fof(f238,plain,(
% 0.13/0.40 between(a,b,c)|between(b,c,a)|colinear(b,a,c)),
% 0.13/0.40 inference(resolution,[status(thm)],[f223,f215])).
% 0.13/0.40 fof(f240,plain,(
% 0.13/0.40 between(a,b,c)|between(b,c,a)|colinear(b,c,a)),
% 0.13/0.40 inference(resolution,[status(thm)],[f223,f116])).
% 0.13/0.40 fof(f241,plain,(
% 0.13/0.40 between(a,b,c)|between(b,c,a)|colinear(c,a,b)),
% 0.13/0.40 inference(resolution,[status(thm)],[f223,f115])).
% 0.13/0.40 fof(f242,plain,(
% 0.13/0.40 between(b,c,a)|colinear(a,c,b)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f236,f216])).
% 0.13/0.40 fof(f243,plain,(
% 0.13/0.40 between(a,b,c)|colinear(c,b,a)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f237,f217])).
% 0.13/0.40 fof(f244,plain,(
% 0.13/0.40 between(b,c,a)|colinear(b,a,c)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f238,f217])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 between(b,c,a)|colinear(b,c,a)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f240,f117])).
% 0.13/0.40 fof(f246,plain,(
% 0.13/0.40 between(a,b,c)|colinear(c,a,b)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f241,f117])).
% 0.13/0.40 fof(f279,plain,(
% 0.13/0.40 ~colinear(b,a,c)|~colinear(b,c,a)|~colinear(c,a,b)|~colinear(c,b,a)),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f219,f280])).
% 0.13/0.40 fof(f280,plain,(
% 0.13/0.40 colinear(a,c,b)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f242,f215])).
% 0.13/0.40 fof(f282,plain,(
% 0.13/0.40 ~colinear(b,a,c)|~colinear(b,c,a)|~colinear(c,a,b)),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f279,f283])).
% 0.13/0.40 fof(f283,plain,(
% 0.13/0.40 colinear(c,b,a)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f243,f215])).
% 0.13/0.40 fof(f339,plain,(
% 0.13/0.40 ~colinear(b,c,a)|~colinear(c,a,b)),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f282,f340])).
% 0.13/0.40 fof(f340,plain,(
% 0.13/0.40 colinear(b,a,c)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f244,f216])).
% 0.13/0.40 fof(f342,plain,(
% 0.13/0.40 ~colinear(c,a,b)),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f339,f343])).
% 0.13/0.40 fof(f343,plain,(
% 0.13/0.40 colinear(b,c,a)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f245,f115])).
% 0.13/0.40 fof(f346,plain,(
% 0.13/0.40 colinear(c,a,b)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f246,f116])).
% 0.13/0.40 fof(f347,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f342,f346])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.067947 seconds
% 0.13/0.43 % CPU time: 0.230251 seconds
% 0.13/0.43 % Total memory used: 60.151 MB
% 0.13/0.43 % Net memory used: 59.929 MB
%------------------------------------------------------------------------------