%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM318+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 : n009.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 01:42:31 PM UTC 2026
% Result : Theorem 0.17s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM318+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
% 0.17/0.47 % Computer : n009.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Mon Sep 21 02:21:58 UTC 2026
% 0.17/0.47 % CPUTime :
% 0.17/0.53 % Drodi V4.1.1
% 0.17/0.54 % Refutation found
% 0.17/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.54 fof(f6,axiom,(
% 0.17/0.54 rdn_translate(n5,rdn_pos(rdnn(n5))) ),
% 0.17/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f133,axiom,(
% 0.17/0.54 rdn_translate(nn5,rdn_neg(rdnn(n5))) ),
% 0.17/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f291,axiom,(
% 0.17/0.54 (! [POS_X,NEG_X,RDN_X] :( ( rdn_translate(POS_X,rdn_pos(RDN_X))& rdn_translate(NEG_X,rdn_neg(RDN_X)) )=> sum(POS_X,NEG_X,n0) ) )),
% 0.17/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f402,conjecture,(
% 0.17/0.54 sum(n5,nn5,n0) ),
% 0.17/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f403,negated_conjecture,(
% 0.17/0.54 ~(sum(n5,nn5,n0) )),
% 0.17/0.54 inference(negated_conjecture,[status(cth)],[f402])).
% 0.17/0.54 fof(f409,plain,(
% 0.17/0.54 rdn_translate(n5,rdn_pos(rdnn(n5)))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.54 fof(f536,plain,(
% 0.17/0.54 rdn_translate(nn5,rdn_neg(rdnn(n5)))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f133])).
% 0.17/0.54 fof(f728,plain,(
% 0.17/0.54 ![POS_X,NEG_X,RDN_X]: ((~rdn_translate(POS_X,rdn_pos(RDN_X))|~rdn_translate(NEG_X,rdn_neg(RDN_X)))|sum(POS_X,NEG_X,n0))),
% 0.17/0.54 inference(pre_NNF_transformation,[status(thm)],[f291])).
% 0.17/0.54 fof(f729,plain,(
% 0.17/0.54 ![POS_X,NEG_X]: ((![RDN_X]: (~rdn_translate(POS_X,rdn_pos(RDN_X))|~rdn_translate(NEG_X,rdn_neg(RDN_X))))|sum(POS_X,NEG_X,n0))),
% 0.17/0.54 inference(miniscoping,[status(thm)],[f728])).
% 0.17/0.54 fof(f730,plain,(
% 0.17/0.54 ![X0,X1,X2]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_neg(X1))|sum(X0,X2,n0))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f729])).
% 0.17/0.54 fof(f861,plain,(
% 0.17/0.54 ~sum(n5,nn5,n0)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f403])).
% 0.17/0.54 fof(f864,plain,(
% 0.17/0.54 ![X0]: (~rdn_translate(X0,rdn_pos(rdnn(n5)))|sum(X0,nn5,n0))),
% 0.17/0.54 inference(resolution,[status(thm)],[f730,f536])).
% 0.17/0.54 fof(f866,plain,(
% 0.17/0.54 sum(n5,nn5,n0)),
% 0.17/0.54 inference(resolution,[status(thm)],[f864,f409])).
% 0.17/0.54 fof(f867,plain,(
% 0.17/0.54 $false),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f866,f861])).
% 0.17/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.62 % Elapsed time: 0.125760 seconds
% 0.22/0.62 % CPU time: 0.120599 seconds
% 0.22/0.62 % Total memory used: 9.149 MB
% 0.22/0.62 % Net memory used: 9.144 MB
%------------------------------------------------------------------------------