%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP146-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:36:06 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP146-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n001.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sun Sep 20 20:07:42 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.34 % Drodi V4.1.1
% 0.08/0.35 % Refutation found
% 0.08/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.35 fof(f7,axiom,(
% 0.08/0.35 (![X,Y,Z]: (least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) ))),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f16,hypothesis,(
% 0.08/0.35 least_upper_bound(a,c) = c ),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f17,hypothesis,(
% 0.08/0.35 least_upper_bound(b,c) = c ),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f18,negated_conjecture,(
% 0.08/0.35 least_upper_bound(least_upper_bound(a,b),c) != c ),
% 0.08/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.35 fof(f25,plain,(
% 0.08/0.35 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,X2))=least_upper_bound(least_upper_bound(X0,X1),X2))),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.35 fof(f34,plain,(
% 0.08/0.35 least_upper_bound(a,c)=c),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.35 fof(f35,plain,(
% 0.08/0.35 least_upper_bound(b,c)=c),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.35 fof(f36,plain,(
% 0.08/0.35 ~least_upper_bound(least_upper_bound(a,b),c)=c),
% 0.08/0.35 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/0.35 fof(f40,plain,(
% 0.08/0.35 ~least_upper_bound(a,least_upper_bound(b,c))=c),
% 0.08/0.35 inference(forward_demodulation,[status(thm)],[f25,f36])).
% 0.08/0.35 fof(f41,plain,(
% 0.08/0.35 ~least_upper_bound(a,c)=c),
% 0.08/0.35 inference(forward_demodulation,[status(thm)],[f35,f40])).
% 0.08/0.35 fof(f42,plain,(
% 0.08/0.35 ~c=c),
% 0.08/0.35 inference(forward_demodulation,[status(thm)],[f34,f41])).
% 0.08/0.35 fof(f43,plain,(
% 0.08/0.35 $false),
% 0.08/0.35 inference(trivial_equality_resolution,[status(thm)],[f42])).
% 0.08/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.37 % Elapsed time: 0.025408 seconds
% 0.08/0.37 % CPU time: 0.031354 seconds
% 0.08/0.37 % Total memory used: 676.336 KB
% 0.08/0.37 % Net memory used: 655.664 KB
%------------------------------------------------------------------------------