%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP514-1 : TPTP v9.3.1. Released v2.6.0.
% 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 12:36:44 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP514-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n026.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sun Sep 20 20:17:53 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.09/0.60 % Refutation found
% 0.09/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.60 fof(f1,axiom,(
% 0.09/0.60 (![A,B,C]: (multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B ))),
% 0.09/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.60 fof(f2,negated_conjecture,(
% 0.09/0.60 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.09/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.60 fof(f3,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))=X1)),
% 0.09/0.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.60 fof(f4,plain,(
% 0.09/0.60 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.09/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.60 fof(f9,plain,(
% 0.09/0.60 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2)))))))=X3)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.09/0.60 fof(f10,plain,(
% 0.09/0.60 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3)))),inverse(X2)))=X1)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.09/0.60 fof(f11,plain,(
% 0.09/0.60 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f3,f9])).
% 0.09/0.60 fof(f19,plain,(
% 0.09/0.60 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.09/0.60 fof(f48,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),inverse(X1)))=multiply(X0,X2))),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f19,f10])).
% 0.09/0.60 fof(f49,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1))))=X0)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f19,f9])).
% 0.09/0.60 fof(f147,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(multiply(X1,multiply(X0,inverse(X2))))))=X2)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f19,f49])).
% 0.09/0.60 fof(f149,plain,(
% 0.09/0.60 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),multiply(multiply(X3,X2),inverse(X3)))=X0)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f49,f49])).
% 0.09/0.60 fof(f151,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,inverse(X2))),multiply(X2,inverse(X1)))=X0)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f19,f49])).
% 0.09/0.60 fof(f157,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2)=X0)),
% 0.09/0.60 inference(forward_demodulation,[status(thm)],[f48,f149])).
% 0.09/0.60 fof(f170,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X0,multiply(X2,inverse(multiply(X2,inverse(X1))))))),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f157,f48])).
% 0.09/0.60 fof(f171,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X0))))))),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f157,f19])).
% 0.09/0.60 fof(f197,plain,(
% 0.09/0.60 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X0,multiply(X3,inverse(multiply(X3,multiply(X2,inverse(X1)))))))),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f147,f48])).
% 0.09/0.60 fof(f224,plain,(
% 0.09/0.60 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,inverse(multiply(X1,multiply(X2,inverse(multiply(X2,inverse(X3)))))))),X3)=X0)),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f157,f170])).
% 0.09/0.60 fof(f239,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(multiply(X0,multiply(multiply(X1,inverse(X2)),inverse(X1))),X2)=X0)),
% 0.09/0.60 inference(forward_demodulation,[status(thm)],[f197,f224])).
% 0.09/0.60 fof(f240,plain,(
% 0.09/0.60 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.09/0.60 inference(forward_demodulation,[status(thm)],[f48,f239])).
% 0.09/0.60 fof(f265,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(X0,inverse(multiply(X2,inverse(X1)))))),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f240,f151])).
% 0.09/0.60 fof(f279,plain,(
% 0.09/0.60 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X2,multiply(X0,inverse(X2)))))),
% 0.09/0.60 inference(backward_demodulation,[status(thm)],[f265,f171])).
% 0.09/0.60 fof(f289,plain,(
% 0.09/0.60 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.09/0.60 inference(forward_demodulation,[status(thm)],[f19,f279])).
% 0.09/0.60 fof(f372,plain,(
% 0.09/0.60 ![X0,X1]: (X0=multiply(multiply(X1,inverse(X1)),X0))),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f11,f289])).
% 0.09/0.60 fof(f381,plain,(
% 0.09/0.60 ~multiply(multiply(b2,inverse(b2)),a2)=a2),
% 0.09/0.60 inference(paramodulation,[status(thm)],[f289,f4])).
% 0.09/0.60 fof(f408,plain,(
% 0.09/0.60 ~a2=a2),
% 0.09/0.60 inference(forward_demodulation,[status(thm)],[f372,f381])).
% 0.09/0.60 fof(f409,plain,(
% 0.09/0.60 $false),
% 0.09/0.60 inference(trivial_equality_resolution,[status(thm)],[f408])).
% 0.09/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.62 % Elapsed time: 0.036851 seconds
% 0.09/0.62 % CPU time: 0.114305 seconds
% 0.09/0.62 % Total memory used: 5.250 MB
% 0.09/0.62 % Net memory used: 5.125 MB
%------------------------------------------------------------------------------