%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO008-3 : 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 : n018.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 12:25:31 PM UTC 2026
% Result : Unsatisfiable 43.23s 5.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n018.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % 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 08:16:58 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 43.23/5.87 % Refutation found
% 43.23/5.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 43.23/5.87 % SZS output start CNFRefutation for theBenchmark
% 43.23/5.87 fof(f32,axiom,(
% 43.23/5.87 (![U,V]: (between(U,V,reflection(U,V)) ))),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f47,axiom,(
% 43.23/5.87 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f57,axiom,(
% 43.23/5.87 (![U,V,X,W]: (( ~ between(U,V,X)| ~ between(V,W,X)| between(U,W,X) ) ))),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f58,axiom,(
% 43.23/5.87 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(U,V,X) ) ))),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f81,axiom,(
% 43.23/5.87 (![U,V,X,W]: (( ~ between(U,V,X)| ~ between(U,W,X)| between(V,W,X)| between(W,V,X) ) ))),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f82,hypothesis,(
% 43.23/5.87 between(a,c,e) ),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f83,hypothesis,(
% 43.23/5.87 between(a,d,e) ),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f84,hypothesis,(
% 43.23/5.87 between(c,b,d) ),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f85,negated_conjecture,(
% 43.23/5.87 ~ between(a,b,e) ),
% 43.23/5.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 43.23/5.87 fof(f123,plain,(
% 43.23/5.87 ![X0,X1]: (between(X0,X1,reflection(X0,X1)))),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f32])).
% 43.23/5.87 fof(f142,plain,(
% 43.23/5.87 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f47])).
% 43.23/5.87 fof(f160,plain,(
% 43.23/5.87 ![U,X,W]: ((![V]: (~between(U,V,X)|~between(V,W,X)))|between(U,W,X))),
% 43.23/5.87 inference(miniscoping,[status(thm)],[f57])).
% 43.23/5.87 fof(f161,plain,(
% 43.23/5.87 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X3,X2)|between(X0,X3,X2))),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f160])).
% 43.23/5.87 fof(f162,plain,(
% 43.23/5.87 ![U,V,X]: ((![W]: (~between(U,V,W)|~between(U,W,X)))|between(U,V,X))),
% 43.23/5.87 inference(miniscoping,[status(thm)],[f58])).
% 43.23/5.87 fof(f163,plain,(
% 43.23/5.87 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X0,X1,X3))),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f162])).
% 43.23/5.87 fof(f198,plain,(
% 43.23/5.87 ![V,X,W]: (((![U]: (~between(U,V,X)|~between(U,W,X)))|between(V,W,X))|between(W,V,X))),
% 43.23/5.87 inference(miniscoping,[status(thm)],[f81])).
% 43.23/5.87 fof(f199,plain,(
% 43.23/5.87 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X3,X2)|between(X1,X3,X2)|between(X3,X1,X2))),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f198])).
% 43.23/5.87 fof(f200,plain,(
% 43.23/5.87 between(a,c,e)),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f82])).
% 43.23/5.87 fof(f201,plain,(
% 43.23/5.87 between(a,d,e)),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f83])).
% 43.23/5.87 fof(f202,plain,(
% 43.23/5.87 between(c,b,d)),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f84])).
% 43.23/5.87 fof(f203,plain,(
% 43.23/5.87 ~between(a,b,e)),
% 43.23/5.87 inference(cnf_transformation,[status(thm)],[f85])).
% 43.23/5.87 fof(f211,plain,(
% 43.23/5.87 between(d,b,c)),
% 43.23/5.87 inference(resolution,[status(thm)],[f142,f202])).
% 43.23/5.87 fof(f309,plain,(
% 43.23/5.87 ![X0]: (~between(a,X0,e)|~between(X0,b,e))),
% 43.23/5.87 inference(resolution,[status(thm)],[f161,f203])).
% 43.23/5.87 fof(f415,plain,(
% 43.23/5.87 between(e,c,a)),
% 43.23/5.87 inference(resolution,[status(thm)],[f200,f142])).
% 43.23/5.87 fof(f422,plain,(
% 43.23/5.87 between(e,d,a)),
% 43.23/5.87 inference(resolution,[status(thm)],[f201,f142])).
% 43.23/5.87 fof(f533,plain,(
% 43.23/5.87 ~between(d,b,e)),
% 43.23/5.87 inference(resolution,[status(thm)],[f309,f201])).
% 43.23/5.87 fof(f534,plain,(
% 43.23/5.87 ~between(c,b,e)),
% 43.23/5.87 inference(resolution,[status(thm)],[f309,f200])).
% 43.23/5.87 fof(f617,plain,(
% 43.23/5.87 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X0,X1,reflection(X0,X2)))),
% 43.23/5.87 inference(resolution,[status(thm)],[f163,f123])).
% 43.23/5.87 fof(f635,plain,(
% 43.23/5.87 ![X0]: (~between(c,b,X0)|~between(c,X0,e))),
% 43.23/5.87 inference(resolution,[status(thm)],[f163,f534])).
% 43.23/5.87 fof(f639,plain,(
% 43.23/5.87 ![X0]: (~between(d,b,X0)|~between(d,X0,e))),
% 43.23/5.87 inference(resolution,[status(thm)],[f163,f533])).
% 43.23/5.87 fof(f2658,plain,(
% 43.23/5.87 ~between(c,d,e)),
% 43.23/5.87 inference(resolution,[status(thm)],[f635,f202])).
% 43.23/5.87 fof(f3332,plain,(
% 43.23/5.87 ~between(d,c,e)),
% 43.23/5.87 inference(resolution,[status(thm)],[f639,f211])).
% 43.23/5.87 fof(f3364,plain,(
% 43.23/5.87 ![X0]: (~between(X0,c,e)|~between(X0,d,e)|between(c,d,e))),
% 43.23/5.87 inference(resolution,[status(thm)],[f3332,f199])).
% 43.23/5.87 fof(f3379,plain,(
% 43.23/5.87 ![X0]: (~between(X0,c,e)|~between(X0,d,e))),
% 43.23/5.87 inference(forward_subsumption_resolution,[status(thm)],[f3364,f2658])).
% 43.23/5.87 fof(f4528,plain,(
% 43.23/5.87 between(e,d,reflection(e,a))),
% 43.23/5.87 inference(resolution,[status(thm)],[f617,f422])).
% 43.23/5.87 fof(f4529,plain,(
% 43.23/5.87 between(e,c,reflection(e,a))),
% 43.23/5.87 inference(resolution,[status(thm)],[f617,f415])).
% 43.23/5.87 fof(f4620,plain,(
% 43.23/5.87 between(reflection(e,a),d,e)),
% 43.23/5.87 inference(resolution,[status(thm)],[f4528,f142])).
% 43.23/5.87 fof(f4650,plain,(
% 43.23/5.87 between(reflection(e,a),c,e)),
% 43.23/5.87 inference(resolution,[status(thm)],[f4529,f142])).
% 43.23/5.87 fof(f7416,plain,(
% 43.23/5.87 ~between(reflection(e,a),d,e)),
% 43.23/5.87 inference(resolution,[status(thm)],[f3379,f4650])).
% 43.23/5.87 fof(f7447,plain,(
% 43.23/5.87 $false),
% 43.23/5.87 inference(forward_subsumption_resolution,[status(thm)],[f7416,f4620])).
% 43.23/5.87 % SZS output end CNFRefutation for theBenchmark.p
% 43.23/5.90 % Elapsed time: 5.531933 seconds
% 43.23/5.90 % CPU time: 43.565891 seconds
% 43.23/5.90 % Total memory used: 232.536 MB
% 43.23/5.90 % Net memory used: 208.617 MB
%------------------------------------------------------------------------------