%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP166-3 : 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 : n026.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 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP166-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:05:51 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f5,axiom,(
% 0.15/0.41 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f14,axiom,(
% 0.15/0.41 (![Y,Z,X]: (multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f17,hypothesis,(
% 0.15/0.41 least_upper_bound(b,identity) = b ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f18,negated_conjecture,(
% 0.15/0.41 least_upper_bound(a,multiply(b,a)) != multiply(b,a) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f19,plain,(
% 0.15/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.41 fof(f23,plain,(
% 0.15/0.41 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.41 fof(f32,plain,(
% 0.15/0.41 ![X0,X1,X2]: (multiply(least_upper_bound(X0,X1),X2)=least_upper_bound(multiply(X0,X2),multiply(X1,X2)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.41 fof(f35,plain,(
% 0.15/0.41 least_upper_bound(b,identity)=b),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.41 fof(f36,plain,(
% 0.15/0.41 ~least_upper_bound(a,multiply(b,a))=multiply(b,a)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.41 fof(f146,plain,(
% 0.15/0.41 least_upper_bound(identity,b)=b),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f23,f35])).
% 0.15/0.41 fof(f158,plain,(
% 0.15/0.41 ![X0,X1]: (multiply(least_upper_bound(identity,X0),X1)=least_upper_bound(X1,multiply(X0,X1)))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f19,f32])).
% 0.15/0.41 fof(f169,plain,(
% 0.15/0.41 ~multiply(least_upper_bound(identity,b),a)=multiply(b,a)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f158,f36])).
% 0.15/0.41 fof(f172,plain,(
% 0.15/0.41 ~multiply(b,a)=multiply(b,a)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f146,f169])).
% 0.15/0.41 fof(f173,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(trivial_equality_resolution,[status(thm)],[f172])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.048402 seconds
% 0.15/0.42 % CPU time: 0.222819 seconds
% 0.15/0.42 % Total memory used: 7.064 MB
% 0.15/0.42 % Net memory used: 7.014 MB
%------------------------------------------------------------------------------