%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP155-1 : 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 : n007.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 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP155-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:00:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.09/0.36 % Refutation found
% 0.09/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.36 fof(f15,axiom,(
% 0.09/0.36 (![Y,Z,X]: (multiply(greatest_lower_bound(Y,Z),X) = greatest_lower_bound(multiply(Y,X),multiply(Z,X)) ))),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f16,hypothesis,(
% 0.09/0.36 greatest_lower_bound(a,b) = a ),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f17,negated_conjecture,(
% 0.09/0.36 greatest_lower_bound(multiply(a,c),multiply(b,c)) != multiply(a,c) ),
% 0.09/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36 fof(f32,plain,(
% 0.09/0.36 ![X0,X1,X2]: (multiply(greatest_lower_bound(X0,X1),X2)=greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)))),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.36 fof(f33,plain,(
% 0.09/0.36 greatest_lower_bound(a,b)=a),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.36 fof(f34,plain,(
% 0.09/0.36 ~greatest_lower_bound(multiply(a,c),multiply(b,c))=multiply(a,c)),
% 0.09/0.36 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.36 fof(f39,plain,(
% 0.09/0.36 ~multiply(greatest_lower_bound(a,b),c)=multiply(a,c)),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f32,f34])).
% 0.09/0.36 fof(f40,plain,(
% 0.09/0.36 ~multiply(a,c)=multiply(a,c)),
% 0.09/0.36 inference(forward_demodulation,[status(thm)],[f33,f39])).
% 0.09/0.36 fof(f41,plain,(
% 0.09/0.36 $false),
% 0.09/0.36 inference(trivial_equality_resolution,[status(thm)],[f40])).
% 0.09/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.39 % Elapsed time: 0.031740 seconds
% 0.09/0.39 % CPU time: 0.024685 seconds
% 0.09/0.39 % Total memory used: 884.304 KB
% 0.09/0.39 % Net memory used: 842.064 KB
%------------------------------------------------------------------------------