%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM304+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 : n019.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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM304+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:21:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f13,axiom,(
% 0.13/0.40 rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f282,axiom,(
% 0.13/0.40 (! [X,Y,RDN_X,RDN_Y] :( ( rdn_translate(X,rdn_neg(RDN_X))& rdn_translate(Y,rdn_pos(RDN_Y)) )=> less(X,Y) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f284,axiom,(
% 0.13/0.40 (! [X,Y] :( less(X,Y)<=> ( ~ less(Y,X)& Y != X ) ) )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f402,conjecture,(
% 0.13/0.40 (? [X] : X != n12 )),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f403,negated_conjecture,(
% 0.13/0.40 ~((? [X] : X != n12 ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f402])).
% 0.13/0.40 fof(f416,plain,(
% 0.13/0.40 rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1))))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f697,plain,(
% 0.13/0.40 ![X,Y,RDN_X,RDN_Y]: ((~rdn_translate(X,rdn_neg(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|less(X,Y))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f282])).
% 0.13/0.40 fof(f698,plain,(
% 0.13/0.40 ![X,Y]: (((![RDN_X]: ~rdn_translate(X,rdn_neg(RDN_X)))|(![RDN_Y]: ~rdn_translate(Y,rdn_pos(RDN_Y))))|less(X,Y))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f697])).
% 0.13/0.40 fof(f699,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_translate(X2,rdn_pos(X3))|less(X0,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f698])).
% 0.13/0.40 fof(f703,plain,(
% 0.13/0.40 ![X,Y]: ((~less(X,Y)|(~less(Y,X)&~Y=X))&(less(X,Y)|(less(Y,X)|Y=X)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f284])).
% 0.13/0.40 fof(f704,plain,(
% 0.13/0.40 (![X,Y]: (~less(X,Y)|(~less(Y,X)&~Y=X)))&(![X,Y]: (less(X,Y)|(less(Y,X)|Y=X)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f703])).
% 0.13/0.40 fof(f706,plain,(
% 0.13/0.40 ![X0,X1]: (~less(X0,X1)|~X1=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f704])).
% 0.13/0.40 fof(f861,plain,(
% 0.13/0.40 (![X]: X=n12)),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f403])).
% 0.13/0.40 fof(f862,plain,(
% 0.13/0.40 ![X0]: (X0=n12)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f861])).
% 0.13/0.40 fof(f863,plain,(
% 0.13/0.40 ![X0]: (~less(X0,X0))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f706])).
% 0.13/0.40 fof(f865,plain,(
% 0.13/0.40 ![X0,X1]: (X0=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f862,f862])).
% 0.13/0.40 fof(f868,plain,(
% 0.13/0.40 ![X0]: (rdn_translate(n12,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f865,f416])).
% 0.13/0.40 fof(f880,plain,(
% 0.13/0.40 ![X0,X1]: (rdn_translate(X0,X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f865,f868])).
% 0.13/0.40 fof(f902,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~rdn_translate(X0,rdn_pos(X1))|less(X2,X0))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f699,f880])).
% 0.13/0.40 fof(f903,plain,(
% 0.13/0.40 ![X0,X1]: (less(X0,X1))),
% 0.13/0.40 inference(resolution,[status(thm)],[f902,f880])).
% 0.13/0.40 fof(f912,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f863,f903])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.057272 seconds
% 0.13/0.42 % CPU time: 0.166383 seconds
% 0.13/0.42 % Total memory used: 118.580 MB
% 0.13/0.42 % Net memory used: 118.320 MB
%------------------------------------------------------------------------------