%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM292+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 : n015.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 0.20s 5.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM292+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.43 % Computer : n015.cluster.edu
% 0.14/5.43 % Model : x86_64 x86_64
% 0.14/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.43 % Memory : 8046.5625MB
% 0.14/5.43 % OS : Linux 6.8.0-71-generic
% 0.14/5.43 % CPULimit : 300
% 0.14/5.43 % WCLimit : 300
% 0.14/5.43 % DateTime : Mon Sep 21 02:24:25 UTC 2026
% 0.14/5.44 % CPUTime :
% 0.14/5.46 % Drodi V4.1.1
% 0.20/5.71 % Refutation found
% 0.20/5.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/5.71 % SZS output start CNFRefutation for theBenchmark
% 0.20/5.71 fof(f3,axiom,(
% 0.20/5.71 rdn_translate(n2,rdn_pos(rdnn(n2))) ),
% 0.20/5.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.71 fof(f14,axiom,(
% 0.20/5.71 rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))) ),
% 0.20/5.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.71 fof(f257,axiom,(
% 0.20/5.71 rdn_non_zero_digit(rdnn(n1)) ),
% 0.20/5.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.71 fof(f278,axiom,(
% 0.20/5.71 (! [D,Db,Ob] :( rdn_non_zero(Ob)=> rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)) ) )),
% 0.20/5.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.71 fof(f279,axiom,(
% 0.20/5.71 (! [X] :( rdn_non_zero_digit(rdnn(X))=> rdn_non_zero(rdnn(X)) ) )),
% 0.20/5.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.71 fof(f281,axiom,(
% 0.20/5.71 (! [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) ) )),
% 0.20/5.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.71 fof(f402,conjecture,(
% 0.20/5.71 less(n2,n13) ),
% 0.20/5.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/5.71 fof(f403,negated_conjecture,(
% 0.20/5.71 ~(less(n2,n13) )),
% 0.20/5.71 inference(negated_conjecture,[status(cth)],[f402])).
% 0.20/5.71 fof(f406,plain,(
% 0.20/5.71 rdn_translate(n2,rdn_pos(rdnn(n2)))),
% 0.20/5.71 inference(cnf_transformation,[status(thm)],[f3])).
% 0.20/5.71 fof(f417,plain,(
% 0.20/5.71 rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))),
% 0.20/5.71 inference(cnf_transformation,[status(thm)],[f14])).
% 0.20/5.71 fof(f660,plain,(
% 0.20/5.71 rdn_non_zero_digit(rdnn(n1))),
% 0.20/5.71 inference(cnf_transformation,[status(thm)],[f257])).
% 0.20/5.71 fof(f686,plain,(
% 0.20/5.71 ![D,Db,Ob]: (~rdn_non_zero(Ob)|rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)))),
% 0.20/5.71 inference(pre_NNF_transformation,[status(thm)],[f278])).
% 0.20/5.71 fof(f687,plain,(
% 0.20/5.71 ![Ob]: (~rdn_non_zero(Ob)|(![D,Db]: rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob))))),
% 0.20/5.71 inference(miniscoping,[status(thm)],[f686])).
% 0.20/5.71 fof(f688,plain,(
% 0.20/5.71 ![X0,X1,X2]: (~rdn_non_zero(X0)|rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)))),
% 0.20/5.71 inference(cnf_transformation,[status(thm)],[f687])).
% 0.20/5.71 fof(f689,plain,(
% 0.20/5.71 ![X]: (~rdn_non_zero_digit(rdnn(X))|rdn_non_zero(rdnn(X)))),
% 0.20/5.71 inference(pre_NNF_transformation,[status(thm)],[f279])).
% 0.20/5.71 fof(f690,plain,(
% 0.20/5.71 ![X0]: (~rdn_non_zero_digit(rdnn(X0))|rdn_non_zero(rdnn(X0)))),
% 0.20/5.71 inference(cnf_transformation,[status(thm)],[f689])).
% 0.20/5.71 fof(f694,plain,(
% 0.20/5.71 ![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))),
% 0.20/5.71 inference(pre_NNF_transformation,[status(thm)],[f281])).
% 0.20/5.71 fof(f695,plain,(
% 0.20/5.71 ![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))),
% 0.20/5.71 inference(miniscoping,[status(thm)],[f694])).
% 0.20/5.71 fof(f696,plain,(
% 0.20/5.71 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_pos(X3))|~rdn_positive_less(X1,X3)|less(X0,X2))),
% 0.20/5.71 inference(cnf_transformation,[status(thm)],[f695])).
% 0.20/5.71 fof(f861,plain,(
% 0.20/5.71 ~less(n2,n13)),
% 0.20/5.71 inference(cnf_transformation,[status(thm)],[f403])).
% 0.20/5.71 fof(f874,plain,(
% 0.20/5.71 ![X0,X1]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1)))|less(X0,n13))),
% 0.20/5.71 inference(resolution,[status(thm)],[f696,f417])).
% 0.20/5.71 fof(f882,plain,(
% 0.20/5.71 rdn_non_zero(rdnn(n1))),
% 0.20/5.71 inference(resolution,[status(thm)],[f690,f660])).
% 0.20/5.71 fof(f898,plain,(
% 0.20/5.71 ![X0,X1]: (rdn_positive_less(rdnn(X0),rdn(rdnn(X1),rdnn(n1))))),
% 0.20/5.71 inference(resolution,[status(thm)],[f688,f882])).
% 0.20/5.71 fof(f902,plain,(
% 0.20/5.71 ![X0,X1]: (~rdn_translate(X0,rdn_pos(rdnn(X1)))|less(X0,n13))),
% 0.20/5.71 inference(resolution,[status(thm)],[f898,f874])).
% 0.20/5.71 fof(f933,plain,(
% 0.20/5.71 less(n2,n13)),
% 0.20/5.71 inference(resolution,[status(thm)],[f902,f406])).
% 0.20/5.71 fof(f934,plain,(
% 0.20/5.71 $false),
% 0.20/5.71 inference(forward_subsumption_resolution,[status(thm)],[f933,f861])).
% 0.20/5.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/5.73 % Elapsed time: 0.271180 seconds
% 0.20/5.73 % CPU time: 1.833571 seconds
% 0.20/5.73 % Total memory used: 129.012 MB
% 0.20/5.73 % Net memory used: 127.896 MB
%------------------------------------------------------------------------------