%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM303+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:42:30 PM UTC 2026
% Result : Theorem 0.13s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM303+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 02:22:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.54 % Refutation found
% 0.13/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.54 fof(f22,axiom,(
% 0.13/0.54 rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f32,axiom,(
% 0.13/0.54 rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f268,axiom,(
% 0.13/0.54 rdn_positive_less(rdnn(n2),rdnn(n3)) ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f276,axiom,(
% 0.13/0.54 (! [Ds,Os,Db,Ob] :( rdn_positive_less(Os,Ob)=> rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob)) ) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f281,axiom,(
% 0.13/0.54 (! [X,Y,RDN_X,RDN_Y] :( ( rdn_translate(X,rdn_pos(RDN_X))& rdn_translate(Y,rdn_pos(RDN_Y))& rdn_positive_less(RDN_X,RDN_Y) )=> less(X,Y) ) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f284,axiom,(
% 0.13/0.54 (! [X,Y] :( less(X,Y)<=> ( ~ less(Y,X)& Y != X ) ) )),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f402,conjecture,(
% 0.13/0.54 n31 != n21 ),
% 0.13/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.54 fof(f403,negated_conjecture,(
% 0.13/0.54 ~(n31 != n21 )),
% 0.13/0.54 inference(negated_conjecture,[status(cth)],[f402])).
% 0.13/0.54 fof(f425,plain,(
% 0.13/0.54 rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2))))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.54 fof(f435,plain,(
% 0.13/0.54 rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3))))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.54 fof(f671,plain,(
% 0.13/0.54 rdn_positive_less(rdnn(n2),rdnn(n3))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f268])).
% 0.13/0.54 fof(f681,plain,(
% 0.13/0.54 ![Ds,Os,Db,Ob]: (~rdn_positive_less(Os,Ob)|rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob)))),
% 0.13/0.54 inference(pre_NNF_transformation,[status(thm)],[f276])).
% 0.13/0.54 fof(f682,plain,(
% 0.13/0.54 ![Os,Ob]: (~rdn_positive_less(Os,Ob)|(![Ds,Db]: rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob))))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f681])).
% 0.13/0.54 fof(f683,plain,(
% 0.13/0.54 ![X0,X1,X2,X3]: (~rdn_positive_less(X0,X1)|rdn_positive_less(rdn(rdnn(X2),X0),rdn(rdnn(X3),X1)))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f682])).
% 0.13/0.54 fof(f694,plain,(
% 0.13/0.54 ![X,Y,RDN_X,RDN_Y]: (((~rdn_translate(X,rdn_pos(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~rdn_positive_less(RDN_X,RDN_Y))|less(X,Y))),
% 0.13/0.54 inference(pre_NNF_transformation,[status(thm)],[f281])).
% 0.13/0.54 fof(f695,plain,(
% 0.13/0.54 ![X,Y]: ((![RDN_X,RDN_Y]: ((~rdn_translate(X,rdn_pos(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~rdn_positive_less(RDN_X,RDN_Y)))|less(X,Y))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f694])).
% 0.13/0.54 fof(f696,plain,(
% 0.13/0.54 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_pos(X3))|~rdn_positive_less(X1,X3)|less(X0,X2))),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f695])).
% 0.13/0.54 fof(f703,plain,(
% 0.13/0.54 ![X,Y]: ((~less(X,Y)|(~less(Y,X)&~Y=X))&(less(X,Y)|(less(Y,X)|Y=X)))),
% 0.13/0.54 inference(NNF_transformation,[status(thm)],[f284])).
% 0.13/0.54 fof(f704,plain,(
% 0.13/0.54 (![X,Y]: (~less(X,Y)|(~less(Y,X)&~Y=X)))&(![X,Y]: (less(X,Y)|(less(Y,X)|Y=X)))),
% 0.13/0.54 inference(miniscoping,[status(thm)],[f703])).
% 0.13/0.54 fof(f706,plain,(
% 0.13/0.54 ![X0,X1]: (~less(X0,X1)|~X1=X0)),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f704])).
% 0.13/0.54 fof(f861,plain,(
% 0.13/0.54 n31=n21),
% 0.13/0.54 inference(cnf_transformation,[status(thm)],[f403])).
% 0.13/0.54 fof(f862,plain,(
% 0.13/0.54 ![X0]: (~less(X0,X0))),
% 0.13/0.54 inference(destructive_equality_resolution,[status(thm)],[f706])).
% 0.13/0.54 fof(f864,plain,(
% 0.13/0.54 rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n3))))),
% 0.13/0.54 inference(forward_demodulation,[status(thm)],[f861,f435])).
% 0.13/0.54 fof(f1005,plain,(
% 0.13/0.54 ![X0,X1,X2]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X0,rdn_pos(X2))|~rdn_positive_less(X1,X2))),
% 0.13/0.54 inference(resolution,[status(thm)],[f696,f862])).
% 0.13/0.54 fof(f1195,plain,(
% 0.13/0.54 ![X0,X1,X2,X3,X4]: (~rdn_translate(X0,rdn_pos(rdn(rdnn(X1),X2)))|~rdn_translate(X0,rdn_pos(rdn(rdnn(X3),X4)))|~rdn_positive_less(X2,X4))),
% 0.13/0.54 inference(resolution,[status(thm)],[f1005,f683])).
% 0.13/0.54 fof(f1530,plain,(
% 0.13/0.54 ![X0,X1,X2]: (~rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n2))))|~rdn_translate(X0,rdn_pos(rdn(rdnn(X2),rdnn(n3)))))),
% 0.13/0.54 inference(resolution,[status(thm)],[f1195,f671])).
% 0.13/0.54 fof(f3241,plain,(
% 0.13/0.54 ![X0]: (~rdn_translate(n21,rdn_pos(rdn(rdnn(X0),rdnn(n2)))))),
% 0.13/0.54 inference(resolution,[status(thm)],[f1530,f864])).
% 0.13/0.54 fof(f3243,plain,(
% 0.13/0.54 $false),
% 0.13/0.54 inference(backward_subsumption_resolution,[status(thm)],[f425,f3241])).
% 0.13/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 1.00/0.57 % Elapsed time: 0.194670 seconds
% 1.00/0.57 % CPU time: 1.222271 seconds
% 1.00/0.57 % Total memory used: 146.233 MB
% 1.00/0.57 % Net memory used: 145.220 MB
%------------------------------------------------------------------------------