%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:36:14 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n006.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sun Sep 20 20:05:19 UTC 2026
% 0.16/5.40 % CPUTime :
% 0.16/5.41 % Drodi V4.1.1
% 0.16/5.48 % Refutation found
% 0.16/5.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/5.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.48 fof(f1,axiom,(
% 0.16/5.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f2,hypothesis,(
% 0.16/5.48 (![X,Y]: (multiply(X,multiply(Y,Y)) = multiply(Y,multiply(Y,X)) ))),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f3,negated_conjecture,(
% 0.16/5.48 multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ),
% 0.16/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.48 fof(f4,plain,(
% 0.16/5.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/5.48 fof(f5,plain,(
% 0.16/5.48 ![X0,X1]: (multiply(X0,multiply(X1,X1))=multiply(X1,multiply(X1,X0)))),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/5.48 fof(f6,plain,(
% 0.16/5.48 ~multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))))=multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))),
% 0.16/5.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/5.48 fof(f27,plain,(
% 0.16/5.48 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(X2,multiply(X1,X2))))=multiply(multiply(X1,X2),multiply(multiply(X1,X2),X0)))),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f4,f5])).
% 0.16/5.48 fof(f34,plain,(
% 0.16/5.48 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X0,X1)),X2)=multiply(X1,multiply(multiply(X0,X0),X2)))),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f5,f4])).
% 0.16/5.48 fof(f37,plain,(
% 0.16/5.48 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(X2,multiply(X1,X2))))=multiply(X1,multiply(X2,multiply(multiply(X1,X2),X0))))),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f4,f27])).
% 0.16/5.48 fof(f38,plain,(
% 0.16/5.48 ~multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))))=multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f39,f6])).
% 0.16/5.48 fof(f39,plain,(
% 0.16/5.48 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(X2,multiply(X1,X2))))=multiply(X1,multiply(X2,multiply(X1,multiply(X2,X0)))))),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f4,f37])).
% 0.16/5.48 fof(f47,plain,(
% 0.16/5.48 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,X1),X2))=multiply(X1,multiply(multiply(X0,X0),X2)))),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f4,f34])).
% 0.16/5.48 fof(f48,plain,(
% 0.16/5.48 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(X1,X2)))=multiply(X1,multiply(multiply(X0,X0),X2)))),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f4,f47])).
% 0.16/5.48 fof(f49,plain,(
% 0.16/5.48 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(X1,X2)))=multiply(X1,multiply(X0,multiply(X0,X2))))),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f4,f48])).
% 0.16/5.48 fof(f55,plain,(
% 0.16/5.48 ~multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))))=multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f49,f38])).
% 0.16/5.48 fof(f56,plain,(
% 0.16/5.48 ~multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))=multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))))),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f49,f55])).
% 0.16/5.48 fof(f57,plain,(
% 0.16/5.48 $false),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f56])).
% 0.16/5.48 % SZS output end CNFRefutation for theBenchmark.p
% 8.62/6.75 % Elapsed time: 1.115440 seconds
% 8.62/6.75 % CPU time: 0.186211 seconds
% 8.62/6.75 % Total memory used: 3.265 MB
% 8.62/6.75 % Net memory used: 3.197 MB
%------------------------------------------------------------------------------