%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP188-1 : 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 : n004.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 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP188-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 : Sun Sep 20 20:05:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f5,axiom,(
% 0.09/0.38 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f7,axiom,(
% 0.09/0.38 (![X,Y,Z]: (least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f8,axiom,(
% 0.09/0.38 (![X]: (least_upper_bound(X,X) = X ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f16,negated_conjecture,(
% 0.09/0.38 least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b) ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f21,plain,(
% 0.09/0.38 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.38 fof(f23,plain,(
% 0.09/0.38 ![X0,X1,X2]: (least_upper_bound(X0,least_upper_bound(X1,X2))=least_upper_bound(least_upper_bound(X0,X1),X2))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.38 fof(f24,plain,(
% 0.09/0.38 ![X0]: (least_upper_bound(X0,X0)=X0)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.38 fof(f32,plain,(
% 0.09/0.38 ~least_upper_bound(b,least_upper_bound(a,b))=least_upper_bound(a,b)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.38 fof(f51,plain,(
% 0.09/0.38 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X0,X1))=least_upper_bound(X0,X1))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f24,f23])).
% 0.09/0.38 fof(f56,plain,(
% 0.09/0.38 ![X0,X1]: (least_upper_bound(X0,least_upper_bound(X1,X0))=least_upper_bound(X0,X1))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f21,f51])).
% 0.09/0.38 fof(f64,plain,(
% 0.09/0.38 ~least_upper_bound(b,a)=least_upper_bound(a,b)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f56,f32])).
% 0.09/0.38 fof(f70,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f64,f21])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.40 % Elapsed time: 0.026705 seconds
% 0.09/0.40 % CPU time: 0.037116 seconds
% 0.09/0.40 % Total memory used: 1.169 MB
% 0.09/0.40 % Net memory used: 1.136 MB
%------------------------------------------------------------------------------