%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM294+1 : TPTP v9.3.1. Released v3.1.0.
% 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 01:42:29 PM UTC 2026
% Result : Theorem 0.10s 0.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM294+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 02:20:36 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.76 % Refutation found
% 0.10/0.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.76 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.76 fof(f13,axiom,(
% 0.10/0.76 rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))) ),
% 0.10/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.76 fof(f21,axiom,(
% 0.10/0.76 rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))) ),
% 0.10/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.76 fof(f267,axiom,(
% 0.10/0.76 rdn_positive_less(rdnn(n1),rdnn(n2)) ),
% 0.10/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.76 fof(f276,axiom,(
% 0.10/0.76 (! [Ds,Os,Db,Ob] :( rdn_positive_less(Os,Ob)=> rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob)) ) )),
% 0.10/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.76 fof(f281,axiom,(
% 0.10/0.76 (! [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) ) )),
% 0.10/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.76 fof(f402,conjecture,(
% 0.10/0.76 (? [X] : less(n12,X) )),
% 0.10/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.76 fof(f403,negated_conjecture,(
% 0.10/0.76 ~((? [X] : less(n12,X) ))),
% 0.10/0.76 inference(negated_conjecture,[status(cth)],[f402])).
% 0.10/0.76 fof(f416,plain,(
% 0.10/0.76 rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1))))),
% 0.10/0.76 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.76 fof(f424,plain,(
% 0.10/0.76 rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2))))),
% 0.10/0.76 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.76 fof(f670,plain,(
% 0.10/0.76 rdn_positive_less(rdnn(n1),rdnn(n2))),
% 0.10/0.76 inference(cnf_transformation,[status(thm)],[f267])).
% 0.10/0.76 fof(f681,plain,(
% 0.10/0.76 ![Ds,Os,Db,Ob]: (~rdn_positive_less(Os,Ob)|rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob)))),
% 0.10/0.76 inference(pre_NNF_transformation,[status(thm)],[f276])).
% 0.10/0.76 fof(f682,plain,(
% 0.10/0.76 ![Os,Ob]: (~rdn_positive_less(Os,Ob)|(![Ds,Db]: rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob))))),
% 0.10/0.76 inference(miniscoping,[status(thm)],[f681])).
% 0.10/0.76 fof(f683,plain,(
% 0.10/0.76 ![X0,X1,X2,X3]: (~rdn_positive_less(X0,X1)|rdn_positive_less(rdn(rdnn(X2),X0),rdn(rdnn(X3),X1)))),
% 0.10/0.76 inference(cnf_transformation,[status(thm)],[f682])).
% 0.10/0.76 fof(f694,plain,(
% 0.10/0.76 ![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))),
% 0.10/0.76 inference(pre_NNF_transformation,[status(thm)],[f281])).
% 0.10/0.76 fof(f695,plain,(
% 0.10/0.76 ![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))),
% 0.10/0.76 inference(miniscoping,[status(thm)],[f694])).
% 0.10/0.76 fof(f696,plain,(
% 0.10/0.76 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_pos(X3))|~rdn_positive_less(X1,X3)|less(X0,X2))),
% 0.10/0.76 inference(cnf_transformation,[status(thm)],[f695])).
% 0.10/0.76 fof(f861,plain,(
% 0.10/0.76 (![X]: ~less(n12,X))),
% 0.10/0.76 inference(pre_NNF_transformation,[status(thm)],[f403])).
% 0.10/0.76 fof(f862,plain,(
% 0.10/0.76 ![X0]: (~less(n12,X0))),
% 0.10/0.76 inference(cnf_transformation,[status(thm)],[f861])).
% 0.10/0.76 fof(f883,plain,(
% 0.10/0.76 ![X0,X1,X2,X3,X4,X5]: (~rdn_positive_less(X0,X1)|~rdn_translate(X2,rdn_pos(rdn(rdnn(X3),X0)))|~rdn_translate(X4,rdn_pos(rdn(rdnn(X5),X1)))|less(X2,X4))),
% 0.10/0.76 inference(resolution,[status(thm)],[f683,f696])).
% 0.10/0.76 fof(f955,plain,(
% 0.10/0.76 ![X0,X1,X2]: (~rdn_positive_less(X0,rdnn(n2))|~rdn_translate(X1,rdn_pos(rdn(rdnn(X2),X0)))|less(X1,n20))),
% 0.10/0.76 inference(resolution,[status(thm)],[f424,f883])).
% 0.10/0.76 fof(f1085,plain,(
% 0.10/0.76 ![X0,X1]: (~rdn_translate(X0,rdn_pos(rdn(rdnn(X1),rdnn(n1))))|less(X0,n20))),
% 0.10/0.76 inference(resolution,[status(thm)],[f955,f670])).
% 0.10/0.76 fof(f1096,plain,(
% 0.10/0.76 less(n12,n20)),
% 0.10/0.76 inference(resolution,[status(thm)],[f1085,f416])).
% 0.10/0.76 fof(f1097,plain,(
% 0.10/0.76 $false),
% 0.10/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1096,f862])).
% 0.10/0.76 % SZS output end CNFRefutation for theBenchmark.p
% 1.24/0.80 % Elapsed time: 0.395981 seconds
% 1.24/0.80 % CPU time: 2.758872 seconds
% 1.24/0.80 % Total memory used: 152.248 MB
% 1.24/0.80 % Net memory used: 150.904 MB
%------------------------------------------------------------------------------