%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP512-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:36:44 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP512-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.44 % Computer : n007.cluster.edu
% 0.14/0.44 % Model : x86_64 x86_64
% 0.14/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.44 % Memory : 8046.5625MB
% 0.14/0.44 % OS : Linux 6.8.0-71-generic
% 0.14/0.44 % CPULimit : 300
% 0.14/0.44 % WCLimit : 300
% 0.14/0.44 % DateTime : Sun Sep 20 20:13:20 UTC 2026
% 0.14/0.44 % CPUTime :
% 0.14/0.45 % Drodi V4.1.1
% 0.22/0.47 % Refutation found
% 0.22/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.47 fof(f1,axiom,(
% 0.22/0.47 (![A,B,C]: (multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))) = B ))),
% 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.47 fof(f2,negated_conjecture,(
% 0.22/0.47 multiply(a,b) != multiply(b,a) ),
% 0.22/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.47 fof(f3,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2)))=X1)),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.47 fof(f4,plain,(
% 0.22/0.47 ~multiply(a,b)=multiply(b,a)),
% 0.22/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.47 fof(f8,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2)))))=X2)),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.22/0.47 fof(f10,plain,(
% 0.22/0.47 ![X0,X1,X2,X3]: (multiply(multiply(multiply(multiply(multiply(X0,X1),X2),X3),inverse(multiply(X0,X2))),inverse(X1))=X3)),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.22/0.47 fof(f14,plain,(
% 0.22/0.47 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(X1,X0),inverse(X2))))=inverse(multiply(multiply(X3,X1),inverse(multiply(X3,X2)))))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f8,f8])).
% 0.22/0.47 fof(f15,plain,(
% 0.22/0.47 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,inverse(multiply(multiply(X2,multiply(X1,X3)),inverse(multiply(X2,X0)))))))=X3)),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f8,f3])).
% 0.22/0.47 fof(f17,plain,(
% 0.22/0.47 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X0)))))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f8,f3])).
% 0.22/0.47 fof(f18,plain,(
% 0.22/0.47 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X1,X3))))),inverse(X0))=inverse(X2))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.22/0.47 fof(f27,plain,(
% 0.22/0.47 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X0,X1),X2),X3),inverse(multiply(X0,X2))),X4),inverse(X1)),X5),inverse(X3)),inverse(X4))=X5)),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.22/0.47 fof(f35,plain,(
% 0.22/0.47 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(X1))),
% 0.22/0.47 inference(forward_demodulation,[status(thm)],[f3,f18])).
% 0.22/0.47 fof(f40,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,X0),X2)))=inverse(multiply(X1,X2)))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f3,f35])).
% 0.22/0.47 fof(f42,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,inverse(X1))=inverse(multiply(multiply(X2,X1),inverse(multiply(X2,X0)))))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f8,f35])).
% 0.22/0.47 fof(f53,plain,(
% 0.22/0.47 ![X0,X1]: (inverse(multiply(X0,inverse(multiply(X0,X1))))=X1)),
% 0.22/0.47 inference(backward_demodulation,[status(thm)],[f40,f8])).
% 0.22/0.47 fof(f56,plain,(
% 0.22/0.47 ![X0,X1,X2]: (inverse(multiply(X0,inverse(X1)))=inverse(multiply(multiply(X2,X0),inverse(multiply(X2,X1)))))),
% 0.22/0.47 inference(backward_demodulation,[status(thm)],[f40,f14])).
% 0.22/0.47 fof(f59,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,multiply(X0,inverse(multiply(X1,X2))))))=X2)),
% 0.22/0.47 inference(backward_demodulation,[status(thm)],[f42,f15])).
% 0.22/0.47 fof(f62,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(X0,inverse(X2)))),
% 0.22/0.47 inference(backward_demodulation,[status(thm)],[f42,f17])).
% 0.22/0.47 fof(f78,plain,(
% 0.22/0.47 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 0.22/0.47 inference(backward_demodulation,[status(thm)],[f80,f53])).
% 0.22/0.47 fof(f80,plain,(
% 0.22/0.47 ![X0,X1]: (inverse(multiply(X0,inverse(X1)))=multiply(X1,inverse(X0)))),
% 0.22/0.47 inference(forward_demodulation,[status(thm)],[f42,f56])).
% 0.22/0.47 fof(f185,plain,(
% 0.22/0.47 ![X0,X1,X2,X3,X4,X5]: (inverse(X0)=multiply(X1,inverse(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X2,X3),X4),X5),inverse(multiply(X2,X4))),X1),inverse(X3)),X0),inverse(X5)))))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f27,f80])).
% 0.22/0.47 fof(f188,plain,(
% 0.22/0.47 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,inverse(X2))))=multiply(multiply(X2,inverse(X1)),inverse(X0)))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f80,f80])).
% 0.22/0.47 fof(f197,plain,(
% 0.22/0.47 ![X0,X1,X2,X3,X4,X5]: (inverse(X0)=multiply(X1,multiply(X2,inverse(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X3,X4),X5),X2),inverse(multiply(X3,X5))),X1),inverse(X4)),X0)))))),
% 0.22/0.47 inference(forward_demodulation,[status(thm)],[f80,f185])).
% 0.22/0.47 fof(f200,plain,(
% 0.22/0.47 ![X0,X1,X2,X3,X4,X5]: (inverse(multiply(X0,multiply(X1,inverse(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X2,X3),X4),X1),inverse(multiply(X2,X4))),X0),inverse(X3)),X5)))))=X5)),
% 0.22/0.47 inference(backward_demodulation,[status(thm)],[f188,f27])).
% 0.22/0.47 fof(f233,plain,(
% 0.22/0.47 ![X0]: (inverse(inverse(X0))=X0)),
% 0.22/0.47 inference(forward_demodulation,[status(thm)],[f197,f200])).
% 0.22/0.47 fof(f264,plain,(
% 0.22/0.47 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f233,f80])).
% 0.22/0.47 fof(f265,plain,(
% 0.22/0.47 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f233,f78])).
% 0.22/0.47 fof(f295,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,X1)=inverse(multiply(X2,multiply(inverse(X1),inverse(multiply(X2,X0))))))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f59,f265])).
% 0.22/0.47 fof(f314,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,X1)=inverse(multiply(X2,inverse(multiply(multiply(X2,X0),X1)))))),
% 0.22/0.47 inference(forward_demodulation,[status(thm)],[f264,f295])).
% 0.22/0.47 fof(f318,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(multiply(X2,X0),X1),inverse(X2)))),
% 0.22/0.47 inference(forward_demodulation,[status(thm)],[f80,f314])).
% 0.22/0.47 fof(f387,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,inverse(X2))))=multiply(multiply(X2,X0),inverse(X1)))),
% 0.22/0.47 inference(paramodulation,[status(thm)],[f78,f62])).
% 0.22/0.47 fof(f432,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(multiply(X2,X0),inverse(X2))))),
% 0.22/0.47 inference(backward_demodulation,[status(thm)],[f446,f318])).
% 0.22/0.47 fof(f446,plain,(
% 0.22/0.47 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(multiply(X1,X0),inverse(X2)))),
% 0.22/0.47 inference(forward_demodulation,[status(thm)],[f80,f387])).
% 0.22/0.47 fof(f586,plain,(
% 0.22/0.47 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.22/0.47 inference(forward_demodulation,[status(thm)],[f78,f432])).
% 0.22/0.47 fof(f587,plain,(
% 0.22/0.47 $false),
% 0.22/0.47 inference(backward_subsumption_resolution,[status(thm)],[f4,f586])).
% 0.22/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.49 % Elapsed time: 0.035553 seconds
% 0.22/0.49 % CPU time: 0.115826 seconds
% 0.22/0.49 % Total memory used: 6.161 MB
% 0.22/0.49 % Net memory used: 6.124 MB
%------------------------------------------------------------------------------