%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP166-4 : 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 : n011.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 12:36:08 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP166-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % 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 20:03:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (![X,Y]: (greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f15,axiom,(
% 0.09/0.39 (![Y,Z,X]: (multiply(greatest_lower_bound(Y,Z),X) = greatest_lower_bound(multiply(Y,X),multiply(Z,X)) ))),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f17,hypothesis,(
% 0.09/0.39 greatest_lower_bound(b,identity) = identity ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f18,negated_conjecture,(
% 0.09/0.39 greatest_lower_bound(a,multiply(b,a)) != a ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f19,plain,(
% 0.09/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f22,plain,(
% 0.09/0.39 ![X0,X1]: (greatest_lower_bound(X0,X1)=greatest_lower_bound(X1,X0))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(greatest_lower_bound(X0,X1),X2)=greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 greatest_lower_bound(b,identity)=identity),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 ~greatest_lower_bound(a,multiply(b,a))=a),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.39 fof(f146,plain,(
% 0.09/0.39 greatest_lower_bound(identity,b)=identity),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f22,f35])).
% 0.09/0.39 fof(f194,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(greatest_lower_bound(identity,X0),X1)=greatest_lower_bound(X1,multiply(X0,X1)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f19,f33])).
% 0.09/0.39 fof(f206,plain,(
% 0.09/0.39 ~multiply(greatest_lower_bound(identity,b),a)=a),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f194,f36])).
% 0.09/0.39 fof(f210,plain,(
% 0.09/0.39 ~multiply(identity,a)=a),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f146,f206])).
% 0.09/0.39 fof(f211,plain,(
% 0.09/0.39 ~a=a),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f19,f210])).
% 0.09/0.39 fof(f212,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f211])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.044939 seconds
% 0.13/0.40 % CPU time: 0.135094 seconds
% 0.13/0.40 % Total memory used: 5.662 MB
% 0.13/0.40 % Net memory used: 5.627 MB
%------------------------------------------------------------------------------