%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM299+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 : n007.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 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM299+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:19:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.46 % Refutation found
% 0.13/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.46 fof(f130,axiom,(
% 0.13/0.46 rdn_translate(nn2,rdn_neg(rdnn(n2))) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f132,axiom,(
% 0.13/0.46 rdn_translate(nn4,rdn_neg(rdnn(n4))) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f268,axiom,(
% 0.13/0.46 rdn_positive_less(rdnn(n2),rdnn(n3)) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f269,axiom,(
% 0.13/0.46 rdn_positive_less(rdnn(n3),rdnn(n4)) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f275,axiom,(
% 0.13/0.46 (! [X,Y,Z] :( ( rdn_positive_less(rdnn(X),rdnn(Y))& rdn_positive_less(rdnn(Y),rdnn(Z)) )=> rdn_positive_less(rdnn(X),rdnn(Z)) ) )),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f283,axiom,(
% 0.13/0.46 (! [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) ) )),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f284,axiom,(
% 0.13/0.46 (! [X,Y] :( less(X,Y)<=> ( ~ less(Y,X)& Y != X ) ) )),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f402,conjecture,(
% 0.13/0.46 ~ less(nn2,nn4) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f403,negated_conjecture,(
% 0.13/0.46 ~(~ less(nn2,nn4) )),
% 0.13/0.46 inference(negated_conjecture,[status(cth)],[f402])).
% 0.13/0.46 fof(f533,plain,(
% 0.13/0.46 rdn_translate(nn2,rdn_neg(rdnn(n2)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f130])).
% 0.13/0.46 fof(f535,plain,(
% 0.13/0.46 rdn_translate(nn4,rdn_neg(rdnn(n4)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f132])).
% 0.13/0.46 fof(f671,plain,(
% 0.13/0.46 rdn_positive_less(rdnn(n2),rdnn(n3))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f268])).
% 0.13/0.46 fof(f672,plain,(
% 0.13/0.46 rdn_positive_less(rdnn(n3),rdnn(n4))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f269])).
% 0.13/0.46 fof(f678,plain,(
% 0.13/0.46 ![X,Y,Z]: ((~rdn_positive_less(rdnn(X),rdnn(Y))|~rdn_positive_less(rdnn(Y),rdnn(Z)))|rdn_positive_less(rdnn(X),rdnn(Z)))),
% 0.13/0.46 inference(pre_NNF_transformation,[status(thm)],[f275])).
% 0.13/0.46 fof(f679,plain,(
% 0.13/0.46 ![X,Z]: ((![Y]: (~rdn_positive_less(rdnn(X),rdnn(Y))|~rdn_positive_less(rdnn(Y),rdnn(Z))))|rdn_positive_less(rdnn(X),rdnn(Z)))),
% 0.13/0.46 inference(miniscoping,[status(thm)],[f678])).
% 0.13/0.46 fof(f680,plain,(
% 0.13/0.46 ![X0,X1,X2]: (~rdn_positive_less(rdnn(X0),rdnn(X1))|~rdn_positive_less(rdnn(X1),rdnn(X2))|rdn_positive_less(rdnn(X0),rdnn(X2)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f679])).
% 0.13/0.46 fof(f700,plain,(
% 0.13/0.46 ![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))),
% 0.13/0.46 inference(pre_NNF_transformation,[status(thm)],[f283])).
% 0.13/0.46 fof(f701,plain,(
% 0.13/0.46 ![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))),
% 0.13/0.46 inference(miniscoping,[status(thm)],[f700])).
% 0.13/0.46 fof(f702,plain,(
% 0.13/0.46 ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_translate(X2,rdn_neg(X3))|~rdn_positive_less(X3,X1)|less(X0,X2))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f701])).
% 0.13/0.46 fof(f703,plain,(
% 0.13/0.46 ![X,Y]: ((~less(X,Y)|(~less(Y,X)&~Y=X))&(less(X,Y)|(less(Y,X)|Y=X)))),
% 0.13/0.46 inference(NNF_transformation,[status(thm)],[f284])).
% 0.13/0.46 fof(f704,plain,(
% 0.13/0.46 (![X,Y]: (~less(X,Y)|(~less(Y,X)&~Y=X)))&(![X,Y]: (less(X,Y)|(less(Y,X)|Y=X)))),
% 0.13/0.46 inference(miniscoping,[status(thm)],[f703])).
% 0.13/0.46 fof(f705,plain,(
% 0.13/0.46 ![X0,X1]: (~less(X0,X1)|~less(X1,X0))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f704])).
% 0.13/0.46 fof(f861,plain,(
% 0.13/0.46 less(nn2,nn4)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f403])).
% 0.13/0.46 fof(f867,plain,(
% 0.13/0.46 ![X0,X1]: (~rdn_translate(X0,rdn_neg(X1))|~rdn_positive_less(rdnn(n2),X1)|less(X0,nn2))),
% 0.13/0.46 inference(resolution,[status(thm)],[f702,f533])).
% 0.13/0.46 fof(f868,plain,(
% 0.13/0.46 ~less(nn4,nn2)),
% 0.13/0.46 inference(resolution,[status(thm)],[f705,f861])).
% 0.13/0.46 fof(f884,plain,(
% 0.13/0.46 ![X0]: (~rdn_positive_less(rdnn(X0),rdnn(n3))|rdn_positive_less(rdnn(X0),rdnn(n4)))),
% 0.13/0.46 inference(resolution,[status(thm)],[f680,f672])).
% 0.13/0.46 fof(f896,plain,(
% 0.13/0.46 rdn_positive_less(rdnn(n2),rdnn(n4))),
% 0.13/0.46 inference(resolution,[status(thm)],[f884,f671])).
% 0.13/0.46 fof(f919,plain,(
% 0.13/0.47 ![X0]: (~rdn_translate(X0,rdn_neg(rdnn(n4)))|less(X0,nn2))),
% 0.13/0.47 inference(resolution,[status(thm)],[f896,f867])).
% 0.13/0.47 fof(f947,plain,(
% 0.13/0.47 less(nn4,nn2)),
% 0.13/0.47 inference(resolution,[status(thm)],[f919,f535])).
% 0.13/0.47 fof(f948,plain,(
% 0.13/0.47 $false),
% 0.13/0.47 inference(forward_subsumption_resolution,[status(thm)],[f947,f868])).
% 0.13/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.49 % Elapsed time: 0.114203 seconds
% 0.13/0.49 % CPU time: 0.523219 seconds
% 0.13/0.49 % Total memory used: 107.391 MB
% 0.13/0.49 % Net memory used: 107.116 MB
%------------------------------------------------------------------------------