%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO051-3 : 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 : n013.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 12:25:39 PM UTC 2026
% Result : Unsatisfiable 24.78s 4.04s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO051-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.39 % Computer : n013.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 20 08:44:37 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.41 % Drodi V4.1.1
% 24.78/4.04 % Refutation found
% 24.78/4.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.78/4.04 % SZS output start CNFRefutation for theBenchmark
% 24.78/4.04 fof(f54,axiom,(
% 24.78/4.04 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 24.78/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.78/4.04 fof(f77,axiom,(
% 24.78/4.04 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| U = V| between(U,W,X)| between(U,X,W) ) ))),
% 24.78/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.78/4.04 fof(f78,hypothesis,(
% 24.78/4.04 between(u,v,w) ),
% 24.78/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.78/4.04 fof(f79,hypothesis,(
% 24.78/4.04 between(u,v,x) ),
% 24.78/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.78/4.04 fof(f80,hypothesis,(
% 24.78/4.04 u != v ),
% 24.78/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.78/4.04 fof(f81,hypothesis,(
% 24.78/4.04 ~ between(v,w,x) ),
% 24.78/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.78/4.04 fof(f82,negated_conjecture,(
% 24.78/4.04 ~ between(v,x,w) ),
% 24.78/4.04 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.78/4.04 fof(f151,plain,(
% 24.78/4.04 ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 24.78/4.04 inference(miniscoping,[status(thm)],[f54])).
% 24.78/4.04 fof(f152,plain,(
% 24.78/4.04 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 24.78/4.04 inference(cnf_transformation,[status(thm)],[f151])).
% 24.78/4.04 fof(f187,plain,(
% 24.78/4.04 ![U,W,X]: (((![V]: ((~between(U,V,W)|~between(U,V,X))|U=V))|between(U,W,X))|between(U,X,W))),
% 24.78/4.04 inference(miniscoping,[status(thm)],[f77])).
% 24.78/4.04 fof(f188,plain,(
% 24.78/4.04 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|X0=X1|between(X0,X2,X3)|between(X0,X3,X2))),
% 24.78/4.04 inference(cnf_transformation,[status(thm)],[f187])).
% 24.78/4.04 fof(f189,plain,(
% 24.78/4.04 between(u,v,w)),
% 24.78/4.04 inference(cnf_transformation,[status(thm)],[f78])).
% 24.78/4.04 fof(f190,plain,(
% 24.78/4.04 between(u,v,x)),
% 24.78/4.04 inference(cnf_transformation,[status(thm)],[f79])).
% 24.78/4.04 fof(f191,plain,(
% 24.78/4.04 ~u=v),
% 24.78/4.04 inference(cnf_transformation,[status(thm)],[f80])).
% 24.78/4.04 fof(f192,plain,(
% 24.78/4.04 ~between(v,w,x)),
% 24.78/4.04 inference(cnf_transformation,[status(thm)],[f81])).
% 24.78/4.04 fof(f193,plain,(
% 24.78/4.04 ~between(v,x,w)),
% 24.78/4.04 inference(cnf_transformation,[status(thm)],[f82])).
% 24.78/4.04 fof(f362,plain,(
% 24.78/4.04 ![X0]: (~between(u,v,X0)|u=v|between(u,X0,x)|between(u,x,X0))),
% 24.78/4.04 inference(resolution,[status(thm)],[f188,f190])).
% 24.78/4.04 fof(f369,plain,(
% 24.78/4.04 ![X0]: (~between(u,v,X0)|between(u,X0,x)|between(u,x,X0))),
% 24.78/4.04 inference(forward_subsumption_resolution,[status(thm)],[f362,f191])).
% 24.78/4.04 fof(f374,plain,(
% 24.78/4.04 between(u,w,x)|between(u,x,w)),
% 24.78/4.04 inference(resolution,[status(thm)],[f369,f189])).
% 24.78/4.04 fof(f409,plain,(
% 24.78/4.04 ![X0]: (between(u,w,x)|~between(u,X0,x)|between(X0,x,w))),
% 24.78/4.04 inference(resolution,[status(thm)],[f374,f152])).
% 24.78/4.04 fof(f474,plain,(
% 24.78/4.04 between(u,w,x)|between(v,x,w)),
% 24.78/4.04 inference(resolution,[status(thm)],[f409,f190])).
% 24.78/4.04 fof(f477,plain,(
% 24.78/4.04 between(u,w,x)),
% 24.78/4.04 inference(forward_subsumption_resolution,[status(thm)],[f474,f193])).
% 24.78/4.04 fof(f2203,plain,(
% 24.78/4.04 ![X0]: (~between(u,X0,w)|between(X0,w,x))),
% 24.78/4.04 inference(resolution,[status(thm)],[f477,f152])).
% 24.78/4.04 fof(f6379,plain,(
% 24.78/4.04 between(v,w,x)),
% 24.78/4.04 inference(resolution,[status(thm)],[f2203,f189])).
% 24.78/4.04 fof(f6382,plain,(
% 24.78/4.04 $false),
% 24.78/4.04 inference(forward_subsumption_resolution,[status(thm)],[f6379,f192])).
% 24.78/4.04 % SZS output end CNFRefutation for theBenchmark.p
% 24.78/4.04 % Elapsed time: 3.628769 seconds
% 24.78/4.04 % CPU time: 28.450594 seconds
% 24.78/4.04 % Total memory used: 206.555 MB
% 24.78/4.04 % Net memory used: 188.296 MB
%------------------------------------------------------------------------------