%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP154-1 : 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 : n016.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 12:36:07 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP154-1 : 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 : n016.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 20:07:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f14,axiom,(
% 0.09/0.37 (![Y,Z,X]: (multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f16,hypothesis,(
% 0.09/0.37 least_upper_bound(a,b) = b ),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f17,negated_conjecture,(
% 0.09/0.37 least_upper_bound(multiply(a,c),multiply(b,c)) != multiply(b,c) ),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(least_upper_bound(X0,X1),X2)=least_upper_bound(multiply(X0,X2),multiply(X1,X2)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.37 fof(f33,plain,(
% 0.09/0.37 least_upper_bound(a,b)=b),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.37 fof(f34,plain,(
% 0.09/0.37 ~least_upper_bound(multiply(a,c),multiply(b,c))=multiply(b,c)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.37 fof(f39,plain,(
% 0.09/0.37 ~multiply(least_upper_bound(a,b),c)=multiply(b,c)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f31,f34])).
% 0.09/0.37 fof(f40,plain,(
% 0.09/0.37 ~multiply(b,c)=multiply(b,c)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f33,f39])).
% 0.09/0.37 fof(f41,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(trivial_equality_resolution,[status(thm)],[f40])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.39 % Elapsed time: 0.022542 seconds
% 0.09/0.39 % CPU time: 0.028207 seconds
% 0.09/0.39 % Total memory used: 932.592 KB
% 0.09/0.39 % Net memory used: 888.016 KB
%------------------------------------------------------------------------------