%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP516-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:36:45 PM UTC 2026
% Result : Unsatisfiable 0.04s 10.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP516-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/10.33 % Computer : n012.cluster.edu
% 0.04/10.33 % Model : x86_64 x86_64
% 0.04/10.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.33 % Memory : 8046.5625MB
% 0.04/10.33 % OS : Linux 6.8.0-71-generic
% 0.04/10.33 % CPULimit : 300
% 0.04/10.33 % WCLimit : 300
% 0.04/10.33 % DateTime : Sun Sep 20 20:15:39 UTC 2026
% 0.04/10.33 % CPUTime :
% 0.04/10.34 % Drodi V4.1.1
% 0.04/10.34 % Refutation found
% 0.04/10.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/10.34 % SZS output start CNFRefutation for theBenchmark
% 0.04/10.34 fof(f1,axiom,(
% 0.04/10.34 (![A,B,C]: (multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B ))),
% 0.04/10.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/10.34 fof(f2,negated_conjecture,(
% 0.04/10.34 multiply(a,b) != multiply(b,a) ),
% 0.04/10.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/10.34 fof(f3,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))=X1)),
% 0.04/10.34 inference(cnf_transformation,[status(thm)],[f1])).
% 0.04/10.34 fof(f4,plain,(
% 0.04/10.34 ~multiply(a,b)=multiply(b,a)),
% 0.04/10.34 inference(cnf_transformation,[status(thm)],[f2])).
% 0.04/10.34 fof(f8,plain,(
% 0.04/10.34 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2)))))))=X3)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.04/10.34 fof(f9,plain,(
% 0.04/10.34 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3)))),inverse(X2)))=X1)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.04/10.34 fof(f10,plain,(
% 0.04/10.34 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f3,f8])).
% 0.04/10.34 fof(f18,plain,(
% 0.04/10.34 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f10,f8])).
% 0.04/10.34 fof(f47,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(X1)))=multiply(X0,X2))),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f18,f9])).
% 0.04/10.34 fof(f48,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1))))=X0)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f18,f8])).
% 0.04/10.34 fof(f146,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(multiply(X1,multiply(X0,inverse(X2))))))=X2)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f18,f48])).
% 0.04/10.34 fof(f148,plain,(
% 0.04/10.34 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),multiply(multiply(X3,X2),inverse(X3)))=X0)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f48,f48])).
% 0.04/10.34 fof(f150,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,inverse(X1)))=X0)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f18,f48])).
% 0.04/10.34 fof(f156,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2)=X0)),
% 0.04/10.34 inference(forward_demodulation,[status(thm)],[f47,f148])).
% 0.04/10.34 fof(f169,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X0,multiply(X2,inverse(multiply(X2,inverse(X1))))))),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f156,f47])).
% 0.04/10.34 fof(f170,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))))),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f156,f18])).
% 0.04/10.34 fof(f196,plain,(
% 0.04/10.34 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X0,multiply(X3,inverse(multiply(X3,multiply(X2,inverse(X1)))))))),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f146,f47])).
% 0.04/10.34 fof(f223,plain,(
% 0.04/10.34 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X3)))))))),X3)=X0)),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f156,f169])).
% 0.04/10.34 fof(f238,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(multiply(X0,multiply(multiply(X1,inverse(X2)),inverse(X1))),X2)=X0)),
% 0.04/10.34 inference(forward_demodulation,[status(thm)],[f196,f223])).
% 0.04/10.34 fof(f239,plain,(
% 0.04/10.34 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.04/10.34 inference(forward_demodulation,[status(thm)],[f47,f238])).
% 0.04/10.34 fof(f264,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X0,inverse(multiply(X2,inverse(X1)))))),
% 0.04/10.34 inference(paramodulation,[status(thm)],[f239,f150])).
% 0.04/10.34 fof(f278,plain,(
% 0.04/10.34 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X2,multiply(X0,inverse(X2)))))),
% 0.04/10.34 inference(backward_demodulation,[status(thm)],[f264,f170])).
% 0.04/10.34 fof(f289,plain,(
% 0.04/10.34 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.04/10.34 inference(forward_demodulation,[status(thm)],[f18,f278])).
% 0.04/10.34 fof(f290,plain,(
% 0.04/10.34 $false),
% 0.04/10.34 inference(backward_subsumption_resolution,[status(thm)],[f4,f289])).
% 0.04/10.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/10.35 % Elapsed time: 0.017499 seconds
% 0.04/10.35 % CPU time: 0.050093 seconds
% 0.04/10.35 % Total memory used: 3.278 MB
% 0.04/10.35 % Net memory used: 3.217 MB
%------------------------------------------------------------------------------