%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP188-2 : 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 : 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 12:36:13 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP188-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n009.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 20:05:28 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.50 fof(f5,axiom,(
% 0.18/0.50 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f7,axiom,(
% 0.18/0.50 (![X,Y,Z]: (least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) ))),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f8,axiom,(
% 0.18/0.50 (![X]: (least_upper_bound(X,X) = X ))),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f19,negated_conjecture,(
% 0.18/0.50 least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b) ),
% 0.18/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.50 fof(f24,plain,(
% 0.18/0.50 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.50 fof(f26,plain,(
% 0.18/0.50 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,X2))=least_upper_bound(least_upper_bound(X0,X1),X2))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.18/0.50 fof(f27,plain,(
% 0.18/0.50 ![X0]: (least_upper_bound(X0,X0)=X0)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.18/0.50 fof(f38,plain,(
% 0.18/0.50 ~least_upper_bound(b,least_upper_bound(a,b))=least_upper_bound(a,b)),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f19])).
% 0.18/0.50 fof(f57,plain,(
% 0.18/0.50 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X0,X1))=least_upper_bound(X0,X1))),
% 0.18/0.50 inference(paramodulation,[status(thm)],[f27,f26])).
% 0.18/0.50 fof(f62,plain,(
% 0.18/0.50 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X1,X0))=least_upper_bound(X0,X1))),
% 0.18/0.50 inference(paramodulation,[status(thm)],[f24,f57])).
% 0.18/0.50 fof(f70,plain,(
% 0.18/0.50 ~least_upper_bound(b,a)=least_upper_bound(a,b)),
% 0.18/0.50 inference(backward_demodulation,[status(thm)],[f62,f38])).
% 0.18/0.50 fof(f76,plain,(
% 0.18/0.50 $false),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f70,f24])).
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.51 % Elapsed time: 0.047601 seconds
% 0.18/0.51 % CPU time: 0.040074 seconds
% 0.18/0.51 % Total memory used: 773.664 KB
% 0.18/0.51 % Net memory used: 770.192 KB
%------------------------------------------------------------------------------