%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM301+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 : n005.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 0.10s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM301+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
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 02:21:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.43 % Refutation found
% 0.10/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.43 fof(f130,axiom,(
% 0.10/0.43 rdn_translate(nn2,rdn_neg(rdnn(n2))) ),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f131,axiom,(
% 0.10/0.43 rdn_translate(nn3,rdn_neg(rdnn(n3))) ),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f268,axiom,(
% 0.10/0.43 rdn_positive_less(rdnn(n2),rdnn(n3)) ),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f283,axiom,(
% 0.10/0.43 (! [X,Y,RDN_X,RDN_Y] :( ( rdn_translate(X,rdn_neg(RDN_X))& rdn_translate(Y,rdn_neg(RDN_Y))& rdn_positive_less(RDN_Y,RDN_X) )=> less(X,Y) ) )),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f402,conjecture,(
% 0.10/0.43 (? [X] : less(X,nn2) )),
% 0.10/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f403,negated_conjecture,(
% 0.10/0.43 ~((? [X] : less(X,nn2) ))),
% 0.10/0.43 inference(negated_conjecture,[status(cth)],[f402])).
% 0.10/0.43 fof(f533,plain,(
% 0.10/0.43 rdn_translate(nn2,rdn_neg(rdnn(n2)))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f130])).
% 0.10/0.43 fof(f534,plain,(
% 0.10/0.43 rdn_translate(nn3,rdn_neg(rdnn(n3)))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f131])).
% 0.10/0.43 fof(f671,plain,(
% 0.10/0.43 rdn_positive_less(rdnn(n2),rdnn(n3))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f268])).
% 0.10/0.43 fof(f700,plain,(
% 0.10/0.43 ![X,Y,RDN_X,RDN_Y]: (((~rdn_translate(X,rdn_neg(RDN_X))|~rdn_translate(Y,rdn_neg(RDN_Y)))|~rdn_positive_less(RDN_Y,RDN_X))|less(X,Y))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f283])).
% 0.10/0.43 fof(f701,plain,(
% 0.10/0.43 ![X,Y]: ((![RDN_X,RDN_Y]: ((~rdn_translate(X,rdn_neg(RDN_X))|~rdn_translate(Y,rdn_neg(RDN_Y)))|~rdn_positive_less(RDN_Y,RDN_X)))|less(X,Y))),
% 0.10/0.43 inference(miniscoping,[status(thm)],[f700])).
% 0.10/0.43 fof(f702,plain,(
% 0.10/0.43 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_translate(X2,rdn_neg(X3))|~rdn_positive_less(X3,X1)|less(X0,X2))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f701])).
% 0.10/0.43 fof(f861,plain,(
% 0.10/0.43 (![X]: ~less(X,nn2))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f403])).
% 0.10/0.43 fof(f862,plain,(
% 0.10/0.43 ![X0]: (~less(X0,nn2))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f861])).
% 0.10/0.43 fof(f878,plain,(
% 0.10/0.43 ![X0,X1]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_positive_less(rdnn(n2),X1)|less(X0,nn2))),
% 0.10/0.43 inference(resolution,[status(thm)],[f702,f533])).
% 0.10/0.43 fof(f879,plain,(
% 0.10/0.43 ![X0,X1]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_positive_less(rdnn(n2),X1))),
% 0.10/0.43 inference(forward_subsumption_resolution,[status(thm)],[f878,f862])).
% 0.10/0.43 fof(f947,plain,(
% 0.10/0.43 ![X0]: (~rdn_translate(X0,rdn_neg(rdnn(n3))))),
% 0.10/0.43 inference(resolution,[status(thm)],[f671,f879])).
% 0.10/0.43 fof(f950,plain,(
% 0.10/0.43 $false),
% 0.10/0.43 inference(backward_subsumption_resolution,[status(thm)],[f534,f947])).
% 0.10/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.073677 seconds
% 0.10/0.45 % CPU time: 0.268198 seconds
% 0.10/0.45 % Total memory used: 100.821 MB
% 0.10/0.45 % Net memory used: 100.684 MB
%------------------------------------------------------------------------------