%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM291+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 : n014.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 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM291+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
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 02:20:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f3,axiom,(
% 0.12/0.42 rdn_translate(n2,rdn_pos(rdnn(n2))) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f4,axiom,(
% 0.12/0.42 rdn_translate(n3,rdn_pos(rdnn(n3))) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f268,axiom,(
% 0.12/0.42 rdn_positive_less(rdnn(n2),rdnn(n3)) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f281,axiom,(
% 0.12/0.42 (! [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) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f284,axiom,(
% 0.12/0.42 (! [X,Y] :( less(X,Y)<=> ( ~ less(Y,X)& Y != X ) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f402,conjecture,(
% 0.12/0.42 ~ less(n3,n2) ),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f403,negated_conjecture,(
% 0.12/0.42 ~(~ less(n3,n2) )),
% 0.12/0.42 inference(negated_conjecture,[status(cth)],[f402])).
% 0.12/0.42 fof(f406,plain,(
% 0.12/0.42 rdn_translate(n2,rdn_pos(rdnn(n2)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.42 fof(f407,plain,(
% 0.12/0.42 rdn_translate(n3,rdn_pos(rdnn(n3)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.42 fof(f671,plain,(
% 0.12/0.42 rdn_positive_less(rdnn(n2),rdnn(n3))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f268])).
% 0.12/0.42 fof(f694,plain,(
% 0.12/0.42 ![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))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f281])).
% 0.12/0.42 fof(f695,plain,(
% 0.12/0.42 ![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))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f694])).
% 0.12/0.42 fof(f696,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_pos(X3))|~rdn_positive_less(X1,X3)|less(X0,X2))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f695])).
% 0.12/0.42 fof(f703,plain,(
% 0.12/0.42 ![X,Y]: ((~less(X,Y)|(~less(Y,X)&~Y=X))&(less(X,Y)|(less(Y,X)|Y=X)))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f284])).
% 0.12/0.42 fof(f704,plain,(
% 0.12/0.42 (![X,Y]: (~less(X,Y)|(~less(Y,X)&~Y=X)))&(![X,Y]: (less(X,Y)|(less(Y,X)|Y=X)))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f703])).
% 0.12/0.42 fof(f705,plain,(
% 0.12/0.42 ![X0,X1]: (~less(X0,X1)|~less(X1,X0))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f704])).
% 0.12/0.42 fof(f861,plain,(
% 0.12/0.42 less(n3,n2)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f403])).
% 0.12/0.42 fof(f864,plain,(
% 0.12/0.42 ~less(n2,n3)),
% 0.12/0.42 inference(resolution,[status(thm)],[f705,f861])).
% 0.12/0.42 fof(f869,plain,(
% 0.12/0.42 ![X0,X1]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_positive_less(rdnn(n2),X1)|less(n2,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f696,f406])).
% 0.12/0.42 fof(f1080,plain,(
% 0.12/0.42 ~rdn_positive_less(rdnn(n2),rdnn(n3))|less(n2,n3)),
% 0.12/0.42 inference(resolution,[status(thm)],[f869,f407])).
% 0.12/0.42 fof(f1082,plain,(
% 0.12/0.42 ~rdn_positive_less(rdnn(n2),rdnn(n3))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1080,f864])).
% 0.12/0.42 fof(f1161,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1082,f671])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.063235 seconds
% 0.12/0.43 % CPU time: 0.241311 seconds
% 0.12/0.43 % Total memory used: 61.643 MB
% 0.12/0.43 % Net memory used: 61.553 MB
%------------------------------------------------------------------------------