%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO043-3 : 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 : n001.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 10.29s 11.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO043-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34 % Computer : n001.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sun Sep 20 08:42:11 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.06/0.36 % Drodi V4.1.1
% 10.29/11.61 % Refutation found
% 10.29/11.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.29/11.61 % SZS output start CNFRefutation for theBenchmark
% 10.29/11.61 fof(f8,axiom,(
% 10.29/11.61 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(V,inner_pasch(U,V,W,X,Y),Y) ) ))),
% 10.29/11.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.29/11.61 fof(f9,axiom,(
% 10.29/11.61 (![U,V,W,Y,X]: (( ~ between(U,V,W)| ~ between(Y,X,W)| between(X,inner_pasch(U,V,W,X,Y),U) ) ))),
% 10.29/11.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.29/11.61 fof(f46,axiom,(
% 10.29/11.61 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 10.29/11.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.29/11.61 fof(f47,axiom,(
% 10.29/11.61 (![U,V]: (between(U,U,V) ))),
% 10.29/11.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.29/11.61 fof(f49,axiom,(
% 10.29/11.61 (![U,V,W]: (( ~ between(U,V,W)| ~ between(U,W,V)| V = W ) ))),
% 10.29/11.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.29/11.61 fof(f53,hypothesis,(
% 10.29/11.61 between(u,v,w) ),
% 10.29/11.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.29/11.61 fof(f54,hypothesis,(
% 10.29/11.61 between(u,w,x) ),
% 10.29/11.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.29/11.61 fof(f55,negated_conjecture,(
% 10.29/11.61 ~ between(v,w,x) ),
% 10.29/11.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.29/11.61 fof(f66,plain,(
% 10.29/11.61 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X1,inner_pasch(X0,X1,X2,X4,X3),X3))),
% 10.29/11.61 inference(cnf_transformation,[status(thm)],[f8])).
% 10.29/11.61 fof(f67,plain,(
% 10.29/11.61 ![X0,X1,X2,X3,X4]: (~between(X0,X1,X2)|~between(X3,X4,X2)|between(X4,inner_pasch(X0,X1,X2,X4,X3),X0))),
% 10.29/11.61 inference(cnf_transformation,[status(thm)],[f9])).
% 10.29/11.61 fof(f111,plain,(
% 10.29/11.61 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 10.29/11.61 inference(cnf_transformation,[status(thm)],[f46])).
% 10.29/11.61 fof(f112,plain,(
% 10.29/11.61 ![X0,X1]: (between(X0,X0,X1))),
% 10.29/11.61 inference(cnf_transformation,[status(thm)],[f47])).
% 10.29/11.61 fof(f115,plain,(
% 10.29/11.61 ![V,W]: ((![U]: (~between(U,V,W)|~between(U,W,V)))|V=W)),
% 10.29/11.61 inference(miniscoping,[status(thm)],[f49])).
% 10.29/11.61 fof(f116,plain,(
% 10.29/11.61 ![X0,X1,X2]: (~between(X0,X1,X2)|~between(X0,X2,X1)|X1=X2)),
% 10.29/11.61 inference(cnf_transformation,[status(thm)],[f115])).
% 10.29/11.61 fof(f123,plain,(
% 10.29/11.61 between(u,v,w)),
% 10.29/11.61 inference(cnf_transformation,[status(thm)],[f53])).
% 10.29/11.61 fof(f124,plain,(
% 10.29/11.61 between(u,w,x)),
% 10.29/11.61 inference(cnf_transformation,[status(thm)],[f54])).
% 10.29/11.61 fof(f125,plain,(
% 10.29/11.61 ~between(v,w,x)),
% 10.29/11.61 inference(cnf_transformation,[status(thm)],[f55])).
% 10.29/11.61 fof(f132,plain,(
% 10.29/11.61 between(x,w,u)),
% 10.29/11.61 inference(resolution,[status(thm)],[f111,f124])).
% 10.29/11.61 fof(f133,plain,(
% 10.29/11.61 between(w,v,u)),
% 10.29/11.61 inference(resolution,[status(thm)],[f111,f123])).
% 10.29/11.61 fof(f263,plain,(
% 10.29/11.61 ![X0,X1]: (~between(X0,X1,u)|between(v,inner_pasch(w,v,u,X1,X0),X0))),
% 10.29/11.61 inference(resolution,[status(thm)],[f66,f133])).
% 10.29/11.61 fof(f400,plain,(
% 10.29/11.61 ![X0,X1]: (~between(X0,X1,u)|between(X1,inner_pasch(w,v,u,X1,X0),w))),
% 10.29/11.61 inference(resolution,[status(thm)],[f67,f133])).
% 10.29/11.61 fof(f7723,plain,(
% 10.29/11.61 between(v,inner_pasch(w,v,u,w,x),x)),
% 10.29/11.61 inference(resolution,[status(thm)],[f263,f132])).
% 10.29/11.61 fof(f10613,plain,(
% 10.29/11.61 between(w,inner_pasch(w,v,u,w,x),w)),
% 10.29/11.61 inference(resolution,[status(thm)],[f400,f132])).
% 10.29/11.61 fof(f37171,plain,(
% 10.29/11.61 ~between(w,w,inner_pasch(w,v,u,w,x))|inner_pasch(w,v,u,w,x)=w),
% 10.29/11.61 inference(resolution,[status(thm)],[f10613,f116])).
% 10.29/11.61 fof(f37177,plain,(
% 10.29/11.61 inner_pasch(w,v,u,w,x)=w),
% 10.29/11.61 inference(forward_subsumption_resolution,[status(thm)],[f37171,f112])).
% 10.29/11.61 fof(f37180,plain,(
% 10.29/11.61 between(v,w,x)),
% 10.29/11.61 inference(backward_demodulation,[status(thm)],[f37177,f7723])).
% 10.29/11.61 fof(f37182,plain,(
% 10.29/11.61 $false),
% 10.29/11.61 inference(forward_subsumption_resolution,[status(thm)],[f37180,f125])).
% 10.29/11.61 % SZS output end CNFRefutation for theBenchmark.p
% 10.29/11.62 % Elapsed time: 11.259606 seconds
% 10.29/11.62 % CPU time: 89.000349 seconds
% 10.29/11.62 % Total memory used: 344.794 MB
% 10.29/11.62 % Net memory used: 301.156 MB
%------------------------------------------------------------------------------