%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM300+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 01:42:30 PM UTC 2026
% Result : Theorem 0.04s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM300+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.04/0.37 % CPULimit : 300
% 0.04/0.37 % WCLimit : 300
% 0.04/0.37 % DateTime : Mon Sep 21 02:20:51 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.39 % Drodi V4.1.1
% 0.04/0.42 % Refutation found
% 0.04/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.04/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.42 fof(f1,axiom,(
% 0.04/0.42 rdn_translate(n0,rdn_pos(rdnn(n0))) ),
% 0.04/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.42 fof(f129,axiom,(
% 0.04/0.42 rdn_translate(nn1,rdn_neg(rdnn(n1))) ),
% 0.04/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.42 fof(f282,axiom,(
% 0.04/0.42 (! [X,Y,RDN_X,RDN_Y] :( ( rdn_translate(X,rdn_neg(RDN_X))& rdn_translate(Y,rdn_pos(RDN_Y)) )=> less(X,Y) ) )),
% 0.04/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.42 fof(f402,conjecture,(
% 0.04/0.42 (? [X] : less(X,n0) )),
% 0.04/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.42 fof(f403,negated_conjecture,(
% 0.04/0.42 ~((? [X] : less(X,n0) ))),
% 0.04/0.42 inference(negated_conjecture,[status(cth)],[f402])).
% 0.04/0.42 fof(f404,plain,(
% 0.04/0.42 rdn_translate(n0,rdn_pos(rdnn(n0)))),
% 0.04/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.04/0.42 fof(f532,plain,(
% 0.04/0.42 rdn_translate(nn1,rdn_neg(rdnn(n1)))),
% 0.04/0.42 inference(cnf_transformation,[status(thm)],[f129])).
% 0.04/0.42 fof(f697,plain,(
% 0.04/0.42 ![X,Y,RDN_X,RDN_Y]: ((~rdn_translate(X,rdn_neg(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|less(X,Y))),
% 0.04/0.42 inference(pre_NNF_transformation,[status(thm)],[f282])).
% 0.04/0.42 fof(f698,plain,(
% 0.04/0.42 ![X,Y]: (((![RDN_X]: ~rdn_translate(X,rdn_neg(RDN_X)))|(![RDN_Y]: ~rdn_translate(Y,rdn_pos(RDN_Y))))|less(X,Y))),
% 0.04/0.42 inference(miniscoping,[status(thm)],[f697])).
% 0.04/0.42 fof(f699,plain,(
% 0.04/0.42 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_translate(X2,rdn_pos(X3))|less(X0,X2))),
% 0.04/0.42 inference(cnf_transformation,[status(thm)],[f698])).
% 0.04/0.42 fof(f861,plain,(
% 0.04/0.42 (![X]: ~less(X,n0))),
% 0.04/0.42 inference(pre_NNF_transformation,[status(thm)],[f403])).
% 0.04/0.42 fof(f862,plain,(
% 0.04/0.42 ![X0]: (~less(X0,n0))),
% 0.04/0.42 inference(cnf_transformation,[status(thm)],[f861])).
% 0.04/0.42 fof(f913,plain,(
% 0.04/0.42 ![X0,X1]: (~rdn_translate(X0,rdn_pos(X1))|less(nn1,X0))),
% 0.04/0.42 inference(resolution,[status(thm)],[f532,f699])).
% 0.04/0.42 fof(f958,plain,(
% 0.04/0.42 less(nn1,n0)),
% 0.04/0.42 inference(resolution,[status(thm)],[f913,f404])).
% 0.04/0.42 fof(f959,plain,(
% 0.04/0.42 $false),
% 0.04/0.42 inference(forward_subsumption_resolution,[status(thm)],[f958,f862])).
% 0.04/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/0.46 % Elapsed time: 0.068861 seconds
% 0.04/0.46 % CPU time: 0.198546 seconds
% 0.04/0.46 % Total memory used: 98.192 MB
% 0.04/0.46 % Net memory used: 98.110 MB
%------------------------------------------------------------------------------