%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO046-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:25:38 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO046-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n003.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 08:40:21 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.15/5.44 % Refutation found
% 0.15/5.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.44 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.44 fof(f46,axiom,(
% 0.15/5.44 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f53,axiom,(
% 0.15/5.44 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f54,axiom,(
% 0.15/5.44 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(V,W,X)| between(U,W,X)| V = W ) ))),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f56,hypothesis,(
% 0.15/5.44 between(u,v,x) ),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f57,hypothesis,(
% 0.15/5.44 between(v,w,x) ),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f58,negated_conjecture,(
% 0.15/5.44 ~ between(u,w,x) ),
% 0.15/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.44 fof(f114,plain,(
% 0.15/5.44 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f46])).
% 0.15/5.44 fof(f126,plain,(
% 0.15/5.44 ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 0.15/5.44 inference(miniscoping,[status(thm)],[f53])).
% 0.15/5.44 fof(f127,plain,(
% 0.15/5.44 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f126])).
% 0.15/5.44 fof(f128,plain,(
% 0.15/5.44 ![V,W]: ((![U,X]: ((~between(U,V,W)|~between(V,W,X))|between(U,W,X)))|V=W)),
% 0.15/5.44 inference(miniscoping,[status(thm)],[f54])).
% 0.15/5.44 fof(f129,plain,(
% 0.15/5.44 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X1,X2,X3)|between(X0,X2,X3)|X1=X2)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f128])).
% 0.15/5.44 fof(f132,plain,(
% 0.15/5.44 between(u,v,x)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f56])).
% 0.15/5.44 fof(f133,plain,(
% 0.15/5.44 between(v,w,x)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f57])).
% 0.15/5.44 fof(f134,plain,(
% 0.15/5.44 ~between(u,w,x)),
% 0.15/5.44 inference(cnf_transformation,[status(thm)],[f58])).
% 0.15/5.44 fof(f155,plain,(
% 0.15/5.44 between(x,v,u)),
% 0.15/5.44 inference(resolution,[status(thm)],[f132,f114])).
% 0.15/5.44 fof(f159,plain,(
% 0.15/5.44 between(x,w,v)),
% 0.15/5.44 inference(resolution,[status(thm)],[f133,f114])).
% 0.15/5.44 fof(f162,plain,(
% 0.15/5.44 ![X0]: (~between(x,X0,v)|between(X0,v,u))),
% 0.15/5.44 inference(resolution,[status(thm)],[f155,f127])).
% 0.15/5.44 fof(f167,plain,(
% 0.15/5.44 ![X0]: (~between(X0,v,w)|between(X0,w,x)|v=w)),
% 0.15/5.44 inference(resolution,[status(thm)],[f129,f133])).
% 0.15/5.44 fof(f213,plain,(
% 0.15/5.44 between(w,v,u)),
% 0.15/5.44 inference(resolution,[status(thm)],[f162,f159])).
% 0.15/5.44 fof(f223,plain,(
% 0.15/5.44 between(u,v,w)),
% 0.15/5.44 inference(resolution,[status(thm)],[f213,f114])).
% 0.15/5.44 fof(f233,plain,(
% 0.15/5.44 between(u,w,x)|v=w),
% 0.15/5.44 inference(resolution,[status(thm)],[f167,f223])).
% 0.15/5.44 fof(f243,plain,(
% 0.15/5.44 ~between(u,v,x)),
% 0.15/5.44 inference(backward_demodulation,[status(thm)],[f268,f134])).
% 0.15/5.44 fof(f268,plain,(
% 0.15/5.44 v=w),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f233,f134])).
% 0.15/5.44 fof(f272,plain,(
% 0.15/5.44 $false),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f243,f132])).
% 0.15/5.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.45 % Elapsed time: 0.075420 seconds
% 0.15/5.45 % CPU time: 0.306015 seconds
% 0.15/5.45 % Total memory used: 104.547 MB
% 0.15/5.45 % Net memory used: 104.248 MB
%------------------------------------------------------------------------------