%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP175-1 : 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 : n017.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 12:36:10 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP175-1 : 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 : n017.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 19:59:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.46 fof(f1,axiom,(
% 0.14/0.46 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f2,axiom,(
% 0.14/0.46 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f12,axiom,(
% 0.14/0.46 (![X,Y,Z]: (multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)) ))),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f14,axiom,(
% 0.14/0.46 (![Y,Z,X]: (multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ))),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f16,hypothesis,(
% 0.14/0.46 least_upper_bound(identity,b) = b ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f17,negated_conjecture,(
% 0.14/0.46 least_upper_bound(identity,multiply(inverse(a),multiply(b,a))) != multiply(inverse(a),multiply(b,a)) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f18,plain,(
% 0.14/0.46 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.46 fof(f19,plain,(
% 0.14/0.46 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.46 fof(f29,plain,(
% 0.14/0.46 ![X0,X1,X2]: (multiply(X0,least_upper_bound(X1,X2))=least_upper_bound(multiply(X0,X1),multiply(X0,X2)))),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.46 fof(f31,plain,(
% 0.14/0.46 ![X0,X1,X2]: (multiply(least_upper_bound(X0,X1),X2)=least_upper_bound(multiply(X0,X2),multiply(X1,X2)))),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.46 fof(f33,plain,(
% 0.14/0.46 least_upper_bound(identity,b)=b),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.46 fof(f34,plain,(
% 0.14/0.46 ~least_upper_bound(identity,multiply(inverse(a),multiply(b,a)))=multiply(inverse(a),multiply(b,a))),
% 0.14/0.46 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.46 fof(f153,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(inverse(X0),least_upper_bound(X0,X1))=least_upper_bound(identity,multiply(inverse(X0),X1)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f19,f29])).
% 0.14/0.46 fof(f173,plain,(
% 0.14/0.46 ~multiply(inverse(a),least_upper_bound(a,multiply(b,a)))=multiply(inverse(a),multiply(b,a))),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f153,f34])).
% 0.14/0.46 fof(f191,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(least_upper_bound(identity,X0),X1)=least_upper_bound(X1,multiply(X0,X1)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f18,f31])).
% 0.14/0.46 fof(f209,plain,(
% 0.14/0.46 ~multiply(inverse(a),multiply(least_upper_bound(identity,b),a))=multiply(inverse(a),multiply(b,a))),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f191,f173])).
% 0.14/0.46 fof(f220,plain,(
% 0.14/0.46 ~multiply(inverse(a),multiply(b,a))=multiply(inverse(a),multiply(b,a))),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f33,f209])).
% 0.14/0.46 fof(f221,plain,(
% 0.14/0.46 $false),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f220])).
% 0.14/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 9.25/1.69 % Elapsed time: 1.087365 seconds
% 9.25/1.69 % CPU time: 0.297298 seconds
% 9.25/1.69 % Total memory used: 8.293 MB
% 9.25/1.69 % Net memory used: 8.189 MB
%------------------------------------------------------------------------------