%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO007-3 : 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 : n017.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 1.28s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO007-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 08:10:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.28/0.72 % Refutation found
% 1.28/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.28/0.72 % SZS output start CNFRefutation for theBenchmark
% 1.28/0.72 fof(f47,axiom,(
% 1.28/0.72 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f48,axiom,(
% 1.28/0.72 (![U,V]: (between(U,U,V) ))),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f54,axiom,(
% 1.28/0.72 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f78,axiom,(
% 1.28/0.72 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,V,X)| U = V| between(V,W,X)| between(V,X,W) ) ))),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f79,hypothesis,(
% 1.28/0.72 a != c ),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f80,hypothesis,(
% 1.28/0.72 between(d,a,c) ),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f81,hypothesis,(
% 1.28/0.72 between(e,a,c) ),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f82,hypothesis,(
% 1.28/0.72 ~ between(d,e,a) ),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f83,negated_conjecture,(
% 1.28/0.72 ~ between(e,d,a) ),
% 1.28/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.28/0.72 fof(f140,plain,(
% 1.28/0.72 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f47])).
% 1.28/0.72 fof(f141,plain,(
% 1.28/0.72 ![X0,X1]: (between(X0,X0,X1))),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f48])).
% 1.28/0.72 fof(f152,plain,(
% 1.28/0.72 ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 1.28/0.72 inference(miniscoping,[status(thm)],[f54])).
% 1.28/0.72 fof(f153,plain,(
% 1.28/0.72 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f152])).
% 1.28/0.72 fof(f190,plain,(
% 1.28/0.72 ![V,W,X]: (((![U]: ((~between(U,V,W)|~between(U,V,X))|U=V))|between(V,W,X))|between(V,X,W))),
% 1.28/0.72 inference(miniscoping,[status(thm)],[f78])).
% 1.28/0.72 fof(f191,plain,(
% 1.28/0.72 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X1,X3)|X0=X1|between(X1,X2,X3)|between(X1,X3,X2))),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f190])).
% 1.28/0.72 fof(f192,plain,(
% 1.28/0.72 ~a=c),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f79])).
% 1.28/0.72 fof(f193,plain,(
% 1.28/0.72 between(d,a,c)),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f80])).
% 1.28/0.72 fof(f194,plain,(
% 1.28/0.72 between(e,a,c)),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f81])).
% 1.28/0.72 fof(f195,plain,(
% 1.28/0.72 ~between(d,e,a)),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f82])).
% 1.28/0.72 fof(f196,plain,(
% 1.28/0.72 ~between(e,d,a)),
% 1.28/0.72 inference(cnf_transformation,[status(thm)],[f83])).
% 1.28/0.72 fof(f206,plain,(
% 1.28/0.72 ~between(a,d,e)),
% 1.28/0.72 inference(resolution,[status(thm)],[f140,f196])).
% 1.28/0.72 fof(f230,plain,(
% 1.28/0.72 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|between(X1,X2,X3)|~between(X3,X2,X0))),
% 1.28/0.72 inference(resolution,[status(thm)],[f153,f140])).
% 1.28/0.72 fof(f249,plain,(
% 1.28/0.72 ![X0]: (~between(c,X0,a)|between(X0,a,e))),
% 1.28/0.72 inference(resolution,[status(thm)],[f230,f194])).
% 1.28/0.72 fof(f250,plain,(
% 1.28/0.72 ![X0]: (~between(c,X0,a)|between(X0,a,d))),
% 1.28/0.72 inference(resolution,[status(thm)],[f230,f193])).
% 1.28/0.72 fof(f255,plain,(
% 1.28/0.72 between(c,a,e)),
% 1.28/0.72 inference(resolution,[status(thm)],[f249,f141])).
% 1.28/0.72 fof(f283,plain,(
% 1.28/0.72 between(c,a,d)),
% 1.28/0.72 inference(resolution,[status(thm)],[f250,f141])).
% 1.28/0.72 fof(f376,plain,(
% 1.28/0.72 ![X0]: (~between(c,a,X0)|c=a|between(a,X0,d)|between(a,d,X0))),
% 1.28/0.72 inference(resolution,[status(thm)],[f191,f283])).
% 1.28/0.72 fof(f384,plain,(
% 1.28/0.72 ![X0]: (~between(c,a,X0)|between(a,X0,d)|between(a,d,X0))),
% 1.28/0.72 inference(forward_subsumption_resolution,[status(thm)],[f376,f192])).
% 1.28/0.72 fof(f387,plain,(
% 1.28/0.72 between(a,e,d)|between(a,d,e)),
% 1.28/0.72 inference(resolution,[status(thm)],[f384,f255])).
% 1.28/0.72 fof(f392,plain,(
% 1.28/0.72 between(a,e,d)),
% 1.28/0.72 inference(forward_subsumption_resolution,[status(thm)],[f387,f206])).
% 1.28/0.72 fof(f442,plain,(
% 1.28/0.72 ~between(a,e,d)),
% 1.28/0.72 inference(resolution,[status(thm)],[f195,f140])).
% 1.28/0.72 fof(f443,plain,(
% 1.28/0.72 $false),
% 1.28/0.72 inference(forward_subsumption_resolution,[status(thm)],[f442,f392])).
% 1.28/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 1.28/0.74 % Elapsed time: 0.358541 seconds
% 1.28/0.74 % CPU time: 2.566774 seconds
% 1.28/0.74 % Total memory used: 119.811 MB
% 1.28/0.74 % Net memory used: 116.908 MB
%------------------------------------------------------------------------------