%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 01:43:06 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 02:38:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f51,hypothesis,(
% 0.09/0.40 ( doDivides0(xr,xn)| doDivides0(xr,xm) ) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f52,hypothesis,(
% 0.09/0.40 ~ doDivides0(xr,xn) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f53,hypothesis,(
% 0.09/0.40 ~ doDivides0(xr,xm) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f200,plain,(
% 0.09/0.40 doDivides0(xr,xn)|doDivides0(xr,xm)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.40 fof(f201,plain,(
% 0.09/0.40 ~doDivides0(xr,xn)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f52])).
% 0.09/0.40 fof(f202,plain,(
% 0.09/0.40 ~doDivides0(xr,xm)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f53])).
% 0.09/0.40 fof(f224,plain,(
% 0.09/0.40 doDivides0(xr,xm)),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f200,f201])).
% 0.09/0.40 fof(f225,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f224,f202])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.051979 seconds
% 0.09/0.43 % CPU time: 0.164037 seconds
% 0.09/0.43 % Total memory used: 95.270 MB
% 0.09/0.43 % Net memory used: 95.162 MB
%------------------------------------------------------------------------------