%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO013-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:25:33 PM UTC 2026
% Result : Unsatisfiable 1.34s 0.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO013-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.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 08:15:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 1.34/0.76 % Refutation found
% 1.34/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.34/0.76 % SZS output start CNFRefutation for theBenchmark
% 1.34/0.76 fof(f91,axiom,(
% 1.34/0.76 (![U,V,W]: (( ~ colinear(U,V,W)| colinear(W,V,U) ) ))),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f92,axiom,(
% 1.34/0.76 (![U,V,W]: (( ~ colinear(U,V,W)| colinear(V,W,U) ) ))),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f95,axiom,(
% 1.34/0.76 (![U,V,W]: (( ~ colinear(U,V,W)| colinear(V,U,W) ) ))),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f102,axiom,(
% 1.34/0.76 (![U,V,W,X]: (( ~ colinear(U,V,W)| ~ colinear(U,V,X)| colinear(U,W,X)| U = V ) ))),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f104,axiom,(
% 1.34/0.76 (![W,V,U,X]: (( ~ colinear(W,V,U)| ~ colinear(X,V,U)| colinear(X,W,U)| U = V ) ))),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f106,hypothesis,(
% 1.34/0.76 a != b ),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f107,hypothesis,(
% 1.34/0.76 colinear(a,b,d1) ),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f108,hypothesis,(
% 1.34/0.76 colinear(a,b,d2) ),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f109,hypothesis,(
% 1.34/0.76 colinear(a,b,d3) ),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f110,negated_conjecture,(
% 1.34/0.76 ~ colinear(d1,d2,d3) ),
% 1.34/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.34/0.76 fof(f236,plain,(
% 1.34/0.76 ![X0,X1,X2]: (~colinear(X0,X1,X2)|colinear(X2,X1,X0))),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f91])).
% 1.34/0.76 fof(f237,plain,(
% 1.34/0.76 ![X0,X1,X2]: (~colinear(X0,X1,X2)|colinear(X1,X2,X0))),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f92])).
% 1.34/0.76 fof(f240,plain,(
% 1.34/0.76 ![X0,X1,X2]: (~colinear(X0,X1,X2)|colinear(X1,X0,X2))),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f95])).
% 1.34/0.76 fof(f249,plain,(
% 1.34/0.76 ![U,V]: ((![W,X]: ((~colinear(U,V,W)|~colinear(U,V,X))|colinear(U,W,X)))|U=V)),
% 1.34/0.76 inference(miniscoping,[status(thm)],[f102])).
% 1.34/0.76 fof(f250,plain,(
% 1.34/0.76 ![X0,X1,X2,X3]: (~colinear(X0,X1,X2)|~colinear(X0,X1,X3)|colinear(X0,X2,X3)|X0=X1)),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f249])).
% 1.34/0.76 fof(f253,plain,(
% 1.34/0.76 ![V,U]: ((![W,X]: ((~colinear(W,V,U)|~colinear(X,V,U))|colinear(X,W,U)))|U=V)),
% 1.34/0.76 inference(miniscoping,[status(thm)],[f104])).
% 1.34/0.76 fof(f254,plain,(
% 1.34/0.76 ![X0,X1,X2,X3]: (~colinear(X0,X1,X2)|~colinear(X3,X1,X2)|colinear(X3,X0,X2)|X2=X1)),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f253])).
% 1.34/0.76 fof(f257,plain,(
% 1.34/0.76 ~a=b),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f106])).
% 1.34/0.76 fof(f258,plain,(
% 1.34/0.76 colinear(a,b,d1)),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f107])).
% 1.34/0.76 fof(f259,plain,(
% 1.34/0.76 colinear(a,b,d2)),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f108])).
% 1.34/0.76 fof(f260,plain,(
% 1.34/0.76 colinear(a,b,d3)),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f109])).
% 1.34/0.76 fof(f261,plain,(
% 1.34/0.76 ~colinear(d1,d2,d3)),
% 1.34/0.76 inference(cnf_transformation,[status(thm)],[f110])).
% 1.34/0.76 fof(f301,plain,(
% 1.34/0.76 colinear(d3,b,a)),
% 1.34/0.76 inference(resolution,[status(thm)],[f236,f260])).
% 1.34/0.76 fof(f302,plain,(
% 1.34/0.76 colinear(d2,b,a)),
% 1.34/0.76 inference(resolution,[status(thm)],[f236,f259])).
% 1.34/0.76 fof(f303,plain,(
% 1.34/0.76 colinear(d1,b,a)),
% 1.34/0.76 inference(resolution,[status(thm)],[f236,f258])).
% 1.34/0.76 fof(f313,plain,(
% 1.34/0.76 colinear(b,a,d1)),
% 1.34/0.76 inference(resolution,[status(thm)],[f237,f303])).
% 1.34/0.76 fof(f314,plain,(
% 1.34/0.76 colinear(b,a,d2)),
% 1.34/0.76 inference(resolution,[status(thm)],[f237,f302])).
% 1.34/0.76 fof(f315,plain,(
% 1.34/0.76 colinear(b,a,d3)),
% 1.34/0.76 inference(resolution,[status(thm)],[f237,f301])).
% 1.34/0.76 fof(f323,plain,(
% 1.34/0.76 colinear(d1,a,b)),
% 1.34/0.76 inference(resolution,[status(thm)],[f313,f236])).
% 1.34/0.76 fof(f326,plain,(
% 1.34/0.76 colinear(d2,a,b)),
% 1.34/0.76 inference(resolution,[status(thm)],[f314,f236])).
% 1.34/0.76 fof(f507,plain,(
% 1.34/0.76 ![X0]: (~colinear(b,a,X0)|colinear(b,X0,d3)|b=a)),
% 1.34/0.76 inference(resolution,[status(thm)],[f250,f315])).
% 1.34/0.76 fof(f535,plain,(
% 1.34/0.76 ![X0]: (~colinear(b,a,X0)|colinear(b,X0,d3))),
% 1.34/0.76 inference(forward_subsumption_resolution,[status(thm)],[f507,f257])).
% 1.34/0.76 fof(f737,plain,(
% 1.34/0.76 ![X0]: (~colinear(d2,X0,d3)|~colinear(d1,X0,d3)|d3=X0)),
% 1.34/0.76 inference(resolution,[status(thm)],[f254,f261])).
% 1.34/0.76 fof(f1099,plain,(
% 1.34/0.76 colinear(b,d2,d3)),
% 1.34/0.76 inference(resolution,[status(thm)],[f535,f314])).
% 1.34/0.76 fof(f1100,plain,(
% 1.34/0.76 colinear(b,d1,d3)),
% 1.34/0.76 inference(resolution,[status(thm)],[f535,f313])).
% 1.34/0.76 fof(f1115,plain,(
% 1.34/0.76 colinear(d2,b,d3)),
% 1.34/0.76 inference(resolution,[status(thm)],[f1099,f240])).
% 1.34/0.76 fof(f1125,plain,(
% 1.34/0.76 colinear(d1,b,d3)),
% 1.34/0.76 inference(resolution,[status(thm)],[f1100,f240])).
% 1.34/0.76 fof(f1213,plain,(
% 1.34/0.76 ~colinear(d2,b,d3)|d3=b),
% 1.34/0.76 inference(resolution,[status(thm)],[f1125,f737])).
% 1.34/0.76 fof(f1224,plain,(
% 1.34/0.76 d3=b),
% 1.34/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1213,f1115])).
% 1.34/0.76 fof(f1239,plain,(
% 1.34/0.76 colinear(d2,a,d3)),
% 1.34/0.76 inference(backward_demodulation,[status(thm)],[f1224,f326])).
% 1.34/0.76 fof(f1241,plain,(
% 1.34/0.76 colinear(d1,a,d3)),
% 1.34/0.76 inference(backward_demodulation,[status(thm)],[f1224,f323])).
% 1.34/0.76 fof(f1252,plain,(
% 1.34/0.76 ~a=d3),
% 1.34/0.76 inference(backward_demodulation,[status(thm)],[f1224,f257])).
% 1.34/0.76 fof(f1314,plain,(
% 1.34/0.76 ~colinear(d2,a,d3)|d3=a),
% 1.34/0.76 inference(resolution,[status(thm)],[f1241,f737])).
% 1.34/0.76 fof(f1325,plain,(
% 1.34/0.76 d3=a),
% 1.34/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1314,f1239])).
% 1.34/0.76 fof(f1328,plain,(
% 1.34/0.76 $false),
% 1.34/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1325,f1252])).
% 1.34/0.76 % SZS output end CNFRefutation for theBenchmark.p
% 0.48/0.78 % Elapsed time: 0.417288 seconds
% 0.48/0.78 % CPU time: 2.984424 seconds
% 0.48/0.78 % Total memory used: 123.873 MB
% 0.48/0.78 % Net memory used: 121.049 MB
%------------------------------------------------------------------------------