%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG010-2 : 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 02:05:07 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG010-2 : 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 : n011.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 : Mon Sep 21 04:10:56 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f10,axiom,(
% 0.13/0.41 (![X,Y]: (multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f19,axiom,(
% 0.13/0.41 (![Y,X]: (multiply(multiply(Y,X),Y) != multiply(Y,multiply(X,Y)) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f34,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(multiply(X0,X0),X1)=multiply(X0,multiply(X0,X1)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.41 fof(f45,plain,(
% 0.13/0.41 ![X0,X1]: (~multiply(multiply(X0,X1),X0)=multiply(X0,multiply(X1,X0)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.41 fof(f393,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(resolution,[status(thm)],[f45,f34])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.054615 seconds
% 0.13/0.42 % CPU time: 0.182935 seconds
% 0.13/0.42 % Total memory used: 65.915 MB
% 0.13/0.42 % Net memory used: 65.636 MB
%------------------------------------------------------------------------------