%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP511-1 : 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 : n015.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 0.10s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP511-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:18:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.44 % Refutation found
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44 fof(f1,axiom,(
% 0.10/0.44 (![A,B,C]: (multiply(multiply(multiply(A,B),C),inverse(multiply(A,C))) = B ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f2,negated_conjecture,(
% 0.10/0.44 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f3,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2)))=X1)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.44 fof(f4,plain,(
% 0.10/0.44 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.44 fof(f10,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2)))))=X2)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.10/0.44 fof(f12,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(multiply(multiply(multiply(multiply(X0,X1),X2),X3),inverse(multiply(X0,X2))),inverse(X1))=X3)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.10/0.44 fof(f16,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(X1,X0),inverse(X2))))=inverse(multiply(multiply(X3,X1),inverse(multiply(X3,X2)))))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f10,f10])).
% 0.10/0.44 fof(f17,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,inverse(multiply(multiply(X2,multiply(X1,X3)),inverse(multiply(X2,X0)))))))=X3)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f10,f3])).
% 0.10/0.44 fof(f19,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X0)))))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f10,f3])).
% 0.10/0.44 fof(f20,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(multiply(multiply(multiply(X1,X2),X3),inverse(multiply(X1,X3))))),inverse(X0))=inverse(X2))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.10/0.44 fof(f29,plain,(
% 0.10/0.44 ![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)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.10/0.44 fof(f37,plain,(
% 0.10/0.44 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(X1))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f3,f20])).
% 0.10/0.44 fof(f42,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,X0),X2)))=inverse(multiply(X1,X2)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f3,f37])).
% 0.10/0.44 fof(f44,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,inverse(X1))=inverse(multiply(multiply(X2,X1),inverse(multiply(X2,X0)))))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f10,f37])).
% 0.10/0.44 fof(f55,plain,(
% 0.10/0.44 ![X0,X1]: (inverse(multiply(X0,inverse(multiply(X0,X1))))=X1)),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f42,f10])).
% 0.10/0.44 fof(f58,plain,(
% 0.10/0.44 ![X0,X1,X2]: (inverse(multiply(X0,inverse(X1)))=inverse(multiply(multiply(X2,X0),inverse(multiply(X2,X1)))))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f42,f16])).
% 0.10/0.44 fof(f61,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,multiply(X0,inverse(multiply(X1,X2))))))=X2)),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f44,f17])).
% 0.10/0.44 fof(f64,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(X0,inverse(X2)))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f44,f19])).
% 0.10/0.44 fof(f80,plain,(
% 0.10/0.44 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f82,f55])).
% 0.10/0.44 fof(f82,plain,(
% 0.10/0.44 ![X0,X1]: (inverse(multiply(X0,inverse(X1)))=multiply(X1,inverse(X0)))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f44,f58])).
% 0.10/0.44 fof(f100,plain,(
% 0.10/0.44 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f80,f80])).
% 0.10/0.44 fof(f187,plain,(
% 0.10/0.44 ![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)))))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f29,f82])).
% 0.10/0.44 fof(f190,plain,(
% 0.10/0.44 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,inverse(X2))))=multiply(multiply(X2,inverse(X1)),inverse(X0)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f82,f82])).
% 0.10/0.44 fof(f199,plain,(
% 0.10/0.44 ![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)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f82,f187])).
% 0.10/0.44 fof(f202,plain,(
% 0.10/0.44 ![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)),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f190,f29])).
% 0.10/0.44 fof(f235,plain,(
% 0.10/0.44 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f199,f202])).
% 0.10/0.44 fof(f266,plain,(
% 0.10/0.44 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f235,f82])).
% 0.10/0.44 fof(f267,plain,(
% 0.10/0.44 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f235,f80])).
% 0.10/0.44 fof(f297,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,X1)=inverse(multiply(X2,multiply(inverse(X1),inverse(multiply(X2,X0))))))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f61,f267])).
% 0.10/0.44 fof(f316,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,X1)=inverse(multiply(X2,inverse(multiply(multiply(X2,X0),X1)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f266,f297])).
% 0.10/0.44 fof(f320,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(multiply(X2,X0),X1),inverse(X2)))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f82,f316])).
% 0.10/0.44 fof(f389,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,inverse(X2))))=multiply(multiply(X2,X0),inverse(X1)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f80,f64])).
% 0.10/0.44 fof(f434,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(multiply(X2,X0),inverse(X2))))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f448,f320])).
% 0.10/0.44 fof(f448,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(multiply(X1,X0),inverse(X2)))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f82,f389])).
% 0.10/0.44 fof(f587,plain,(
% 0.10/0.44 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f80,f434])).
% 0.10/0.44 fof(f870,plain,(
% 0.10/0.44 ~multiply(c3,multiply(a3,b3))=multiply(a3,multiply(b3,c3))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f587,f4])).
% 0.10/0.44 fof(f894,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(X0,inverse(inverse(multiply(X1,X2))))=inverse(multiply(X3,inverse(multiply(multiply(X1,multiply(X3,X0)),X2)))))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f42,f42])).
% 0.10/0.44 fof(f895,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,inverse(inverse(X1)))=inverse(multiply(X2,inverse(multiply(X1,multiply(X2,X0))))))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f100,f42])).
% 0.10/0.44 fof(f911,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=inverse(multiply(X3,inverse(multiply(multiply(X1,multiply(X3,X0)),X2)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f235,f894])).
% 0.10/0.44 fof(f912,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(multiply(X1,multiply(X3,X0)),X2),inverse(X3)))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f82,f911])).
% 0.10/0.44 fof(f913,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(X2,multiply(multiply(X1,multiply(X3,X0)),inverse(X3))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f448,f912])).
% 0.10/0.44 fof(f914,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(X2,multiply(multiply(X3,X0),multiply(X1,inverse(X3)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f448,f913])).
% 0.10/0.44 fof(f915,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,X1)=inverse(multiply(X2,inverse(multiply(X1,multiply(X2,X0))))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f235,f895])).
% 0.10/0.44 fof(f916,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X1,multiply(X2,X0)),inverse(X2)))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f82,f915])).
% 0.10/0.44 fof(f918,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X2,multiply(X0,X1)))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f919,f914])).
% 0.10/0.44 fof(f919,plain,(
% 0.10/0.44 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(X2,X0),multiply(X1,inverse(X2))))),
% 0.10/0.45 inference(forward_demodulation,[status(thm)],[f448,f916])).
% 0.10/0.45 fof(f941,plain,(
% 0.10/0.45 $false),
% 0.10/0.45 inference(backward_subsumption_resolution,[status(thm)],[f870,f918])).
% 0.10/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.078890 seconds
% 0.10/0.46 % CPU time: 0.501460 seconds
% 0.10/0.46 % Total memory used: 21.165 MB
% 0.10/0.46 % Net memory used: 20.409 MB
%------------------------------------------------------------------------------