%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP408-1 : 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 : n014.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 12:36:35 PM UTC 2026
% Result : Unsatisfiable 23.32s 3.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP408-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.55 % Computer : n014.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Sun Sep 20 20:12:36 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.10/0.56 % Drodi V4.1.1
% 23.32/3.54 % Refutation found
% 23.32/3.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.32/3.54 % SZS output start CNFRefutation for theBenchmark
% 23.32/3.54 fof(f1,axiom,(
% 23.32/3.54 (![A,B,C]: (multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C ))),
% 23.32/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.32/3.54 fof(f2,negated_conjecture,(
% 23.32/3.54 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 23.32/3.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.32/3.54 fof(f3,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))))=X2)),
% 23.32/3.54 inference(cnf_transformation,[status(thm)],[f1])).
% 23.32/3.54 fof(f4,plain,(
% 23.32/3.54 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 23.32/3.54 inference(cnf_transformation,[status(thm)],[f2])).
% 23.32/3.54 fof(f10,plain,(
% 23.32/3.54 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2)))))=inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3)))))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f3,f3])).
% 23.32/3.54 fof(f12,plain,(
% 23.32/3.54 ![X0,X1,X2,X3]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),multiply(inverse(X3),multiply(inverse(X3),X3)))))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f3,f10])).
% 23.32/3.54 fof(f14,plain,(
% 23.32/3.54 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))))=inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),X5)),multiply(inverse(multiply(inverse(multiply(X1,X3)),X4)),X2))),multiply(inverse(X5),multiply(inverse(X5),X5)))))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f10,f10])).
% 23.32/3.54 fof(f36,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1))))))=X2)),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f10,f3])).
% 23.32/3.54 fof(f64,plain,(
% 23.32/3.54 ![X0,X1,X2,X3,X4,X5]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(X3,X4)),X1))),multiply(inverse(X5),multiply(inverse(X5),X5)))),X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f12,f12])).
% 23.32/3.54 fof(f102,plain,(
% 23.32/3.54 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f12,f64])).
% 23.32/3.54 fof(f139,plain,(
% 23.32/3.54 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f102,f36])).
% 23.32/3.54 fof(f331,plain,(
% 23.32/3.54 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3))=multiply(inverse(multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X4,X3)))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f102,f139])).
% 23.32/3.54 fof(f369,plain,(
% 23.32/3.54 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X1),X1))))))=multiply(inverse(X1),X3))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f139,f36])).
% 23.32/3.54 fof(f2343,plain,(
% 23.32/3.54 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))))),multiply(X0,inverse(multiply(inverse(multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X4,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))))))))=X3)),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f331,f36])).
% 23.32/3.54 fof(f2491,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))=X2)),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f369,f2343])).
% 23.32/3.54 fof(f2579,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(inverse(X0),X0)=multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f2491,f331])).
% 23.32/3.54 fof(f2698,plain,(
% 23.32/3.54 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f2579,f2579])).
% 23.32/3.54 fof(f3089,plain,(
% 23.32/3.54 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1))))))=inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f2698,f14])).
% 23.32/3.54 fof(f3315,plain,(
% 23.32/3.54 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),multiply(inverse(X0),X0)))))),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f36,f3089])).
% 23.32/3.54 fof(f4310,plain,(
% 23.32/3.54 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X0),X0)))))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f139,f3315])).
% 23.32/3.54 fof(f4707,plain,(
% 23.32/3.54 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X2),X2)))))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f2698,f4310])).
% 23.32/3.54 fof(f4988,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(X1),X2))),
% 23.32/3.54 inference(backward_demodulation,[status(thm)],[f4707,f369])).
% 23.32/3.54 fof(f7437,plain,(
% 23.32/3.54 ![X0,X1]: (X0=inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),
% 23.32/3.54 inference(backward_demodulation,[status(thm)],[f4988,f4707])).
% 23.32/3.54 fof(f9975,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))))=X1)),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f7437,f3])).
% 23.32/3.54 fof(f10170,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))=X1)),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f4988,f9975])).
% 23.32/3.54 fof(f10171,plain,(
% 23.32/3.54 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f7437,f10170])).
% 23.32/3.54 fof(f10376,plain,(
% 23.32/3.54 ![X0,X1]: (multiply(inverse(inverse(X0)),X1)=multiply(X0,X1))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f10171,f10171])).
% 23.32/3.54 fof(f10520,plain,(
% 23.32/3.54 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f10171,f10376])).
% 23.32/3.54 fof(f10724,plain,(
% 23.32/3.54 ![X0,X1]: (X0=multiply(X0,multiply(inverse(X1),X1)))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f2698,f10520])).
% 23.32/3.54 fof(f10771,plain,(
% 23.32/3.54 ![X0]: (X0=inverse(inverse(X0)))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f10520,f7437])).
% 23.32/3.54 fof(f12707,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),X0)=multiply(inverse(X1),multiply(inverse(X2),X2)))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f10724,f4988])).
% 23.32/3.54 fof(f12727,plain,(
% 23.32/3.54 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f10724,f12707])).
% 23.32/3.54 fof(f13286,plain,(
% 23.32/3.54 ![X0,X1]: (multiply(inverse(inverse(X0)),inverse(multiply(X1,X0)))=inverse(X1))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f12727,f12727])).
% 23.32/3.54 fof(f13315,plain,(
% 23.32/3.54 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f10771,f13286])).
% 23.32/3.54 fof(f14947,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(inverse(inverse(X0)),multiply(X1,X2))=multiply(inverse(inverse(multiply(X0,X1))),X2))),
% 23.32/3.54 inference(paramodulation,[status(thm)],[f13315,f4988])).
% 23.32/3.54 fof(f15013,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(inverse(inverse(multiply(X0,X1))),X2))),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f10771,f14947])).
% 23.32/3.54 fof(f15014,plain,(
% 23.32/3.54 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 23.32/3.54 inference(forward_demodulation,[status(thm)],[f10771,f15013])).
% 23.32/3.54 fof(f22602,plain,(
% 23.32/3.54 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 23.32/3.54 inference(backward_demodulation,[status(thm)],[f15014,f4])).
% 23.32/3.58 fof(f22692,plain,(
% 23.32/3.58 $false),
% 23.32/3.58 inference(trivial_equality_resolution,[status(thm)],[f22602])).
% 23.32/3.58 % SZS output end CNFRefutation for theBenchmark.p
% 2.67/3.63 % Elapsed time: 3.062138 seconds
% 2.67/3.63 % CPU time: 24.043382 seconds
% 2.67/3.63 % Total memory used: 440.917 MB
% 2.67/3.63 % Net memory used: 432.422 MB
%------------------------------------------------------------------------------