%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP050-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:35:33 PM UTC 2026
% Result : Unsatisfiable 40.28s 5.83s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP050-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:01:27 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 40.28/5.83 % Refutation found
% 40.28/5.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 40.28/5.83 % SZS output start CNFRefutation for theBenchmark
% 40.28/5.83 fof(f1,axiom,(
% 40.28/5.83 (![Z,Y,X]: (multiply(Z,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),X)),multiply(inverse(Y),multiply(inverse(Y),Y))))) = X ))),
% 40.28/5.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.28/5.83 fof(f2,negated_conjecture,(
% 40.28/5.83 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 40.28/5.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 40.28/5.83 fof(f3,plain,(
% 40.28/5.83 ![X0,X1,X2]: (multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))))=X2)),
% 40.28/5.83 inference(cnf_transformation,[status(thm)],[f1])).
% 40.28/5.83 fof(f4,plain,(
% 40.28/5.83 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 40.28/5.83 inference(cnf_transformation,[status(thm)],[f2])).
% 40.28/5.83 fof(f5,plain,(
% 40.28/5.83 ![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)))))),
% 40.28/5.83 inference(paramodulation,[status(thm)],[f3,f3])).
% 40.28/5.83 fof(f7,plain,(
% 40.28/5.83 ![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)))))),
% 40.28/5.83 inference(paramodulation,[status(thm)],[f3,f5])).
% 40.28/5.83 fof(f9,plain,(
% 40.28/5.83 ![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)))))),
% 40.28/5.83 inference(paramodulation,[status(thm)],[f5,f5])).
% 40.28/5.83 fof(f31,plain,(
% 40.28/5.83 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1))))))=X2)),
% 40.28/5.83 inference(paramodulation,[status(thm)],[f5,f3])).
% 40.28/5.83 fof(f59,plain,(
% 40.28/5.83 ![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)))))),
% 40.28/5.83 inference(paramodulation,[status(thm)],[f7,f7])).
% 40.28/5.83 fof(f97,plain,(
% 40.28/5.83 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
% 40.28/5.83 inference(forward_demodulation,[status(thm)],[f7,f59])).
% 40.28/5.83 fof(f134,plain,(
% 40.28/5.83 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
% 40.28/5.83 inference(paramodulation,[status(thm)],[f97,f31])).
% 40.28/5.83 fof(f326,plain,(
% 40.28/5.83 ![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)))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f97,f134])).
% 40.28/5.84 fof(f364,plain,(
% 40.28/5.84 ![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))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f134,f31])).
% 40.28/5.84 fof(f1920,plain,(
% 40.28/5.84 ![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)),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f326,f31])).
% 40.28/5.84 fof(f2052,plain,(
% 40.28/5.84 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1)))=X2)),
% 40.28/5.84 inference(forward_demodulation,[status(thm)],[f364,f1920])).
% 40.28/5.84 fof(f2131,plain,(
% 40.28/5.84 ![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)))))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f2052,f326])).
% 40.28/5.84 fof(f2241,plain,(
% 40.28/5.84 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f2131,f2131])).
% 40.28/5.84 fof(f2556,plain,(
% 40.28/5.84 ~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 40.28/5.84 inference(backward_subsumption_resolution,[status(thm)],[f4,f2241])).
% 40.28/5.84 fof(f2596,plain,(
% 40.28/5.84 ![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)))))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f2241,f9])).
% 40.28/5.84 fof(f2797,plain,(
% 40.28/5.84 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),multiply(inverse(X0),X0)))))),
% 40.28/5.84 inference(forward_demodulation,[status(thm)],[f31,f2596])).
% 40.28/5.84 fof(f2829,plain,(
% 40.28/5.84 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X0),X0)))))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f134,f2797])).
% 40.28/5.84 fof(f3109,plain,(
% 40.28/5.84 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X2),X2)))))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f2241,f2829])).
% 40.28/5.84 fof(f3282,plain,(
% 40.28/5.84 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(X1),X2))),
% 40.28/5.84 inference(backward_demodulation,[status(thm)],[f3109,f364])).
% 40.28/5.84 fof(f3293,plain,(
% 40.28/5.84 ![X0,X1]: (multiply(inverse(X0),X0)=inverse(multiply(inverse(X1),X1)))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f2241,f3109])).
% 40.28/5.84 fof(f6226,plain,(
% 40.28/5.84 ![X0,X1]: (X0=inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),
% 40.28/5.84 inference(backward_demodulation,[status(thm)],[f3282,f3109])).
% 40.28/5.84 fof(f7774,plain,(
% 40.28/5.84 ![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)),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f6226,f3])).
% 40.28/5.84 fof(f7910,plain,(
% 40.28/5.84 ![X0,X1,X2]: (multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))=X1)),
% 40.28/5.84 inference(forward_demodulation,[status(thm)],[f3282,f7774])).
% 40.28/5.84 fof(f7911,plain,(
% 40.28/5.84 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 40.28/5.84 inference(forward_demodulation,[status(thm)],[f6226,f7910])).
% 40.28/5.84 fof(f8064,plain,(
% 40.28/5.84 ![X0,X1]: (multiply(inverse(inverse(X0)),X1)=multiply(X0,X1))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f7911,f7911])).
% 40.28/5.84 fof(f8161,plain,(
% 40.28/5.84 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f7911,f8064])).
% 40.28/5.84 fof(f8295,plain,(
% 40.28/5.84 ![X0,X1]: (X0=multiply(X0,inverse(multiply(inverse(X1),X1))))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f3293,f8161])).
% 40.28/5.84 fof(f8296,plain,(
% 40.28/5.84 ![X0,X1]: (X0=multiply(X0,multiply(inverse(X1),X1)))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f2241,f8161])).
% 40.28/5.84 fof(f8333,plain,(
% 40.28/5.84 ![X0]: (X0=inverse(inverse(X0)))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f8161,f6226])).
% 40.28/5.84 fof(f8492,plain,(
% 40.28/5.84 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),X0)=multiply(inverse(X1),multiply(inverse(X2),X2)))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f8296,f3282])).
% 40.28/5.84 fof(f8506,plain,(
% 40.28/5.84 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 40.28/5.84 inference(forward_demodulation,[status(thm)],[f8296,f8492])).
% 40.28/5.84 fof(f8761,plain,(
% 40.28/5.84 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X0,X1))=multiply(inverse(inverse(multiply(inverse(X2),X2))),X1))),
% 40.28/5.84 inference(paramodulation,[status(thm)],[f8295,f3282])).
% 40.28/5.84 fof(f8796,plain,(
% 40.28/5.84 ![X0,X1]: (X0=multiply(inverse(inverse(multiply(inverse(X1),X1))),X0))),
% 40.28/5.84 inference(forward_demodulation,[status(thm)],[f7911,f8761])).
% 10.88/5.90 fof(f8797,plain,(
% 10.88/5.90 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 10.88/5.90 inference(forward_demodulation,[status(thm)],[f8333,f8796])).
% 10.88/5.90 fof(f8798,plain,(
% 10.88/5.90 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 10.88/5.90 inference(backward_demodulation,[status(thm)],[f8797,f2556])).
% 10.88/5.90 fof(f8831,plain,(
% 10.88/5.90 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 10.88/5.90 inference(trivial_equality_resolution,[status(thm)],[f8798])).
% 10.88/5.90 fof(f8888,plain,(
% 10.88/5.90 ![X0,X1]: (multiply(inverse(inverse(X0)),inverse(multiply(X1,X0)))=inverse(X1))),
% 10.88/5.90 inference(paramodulation,[status(thm)],[f8506,f8506])).
% 10.88/5.90 fof(f8913,plain,(
% 10.88/5.90 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 10.88/5.90 inference(forward_demodulation,[status(thm)],[f8333,f8888])).
% 10.88/5.90 fof(f11029,plain,(
% 10.88/5.90 ![X0,X1,X2]: (multiply(inverse(inverse(X0)),multiply(X1,X2))=multiply(inverse(inverse(multiply(X0,X1))),X2))),
% 10.88/5.90 inference(paramodulation,[status(thm)],[f8913,f3282])).
% 10.88/5.90 fof(f11108,plain,(
% 10.88/5.90 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(inverse(inverse(multiply(X0,X1))),X2))),
% 10.88/5.90 inference(forward_demodulation,[status(thm)],[f8333,f11029])).
% 10.88/5.90 fof(f11109,plain,(
% 10.88/5.90 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 10.88/5.90 inference(forward_demodulation,[status(thm)],[f8333,f11108])).
% 10.88/5.90 fof(f19466,plain,(
% 10.88/5.90 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 10.88/5.90 inference(backward_demodulation,[status(thm)],[f11109,f8831])).
% 10.88/5.90 fof(f19553,plain,(
% 10.88/5.90 $false),
% 10.88/5.90 inference(trivial_equality_resolution,[status(thm)],[f19466])).
% 10.88/5.90 % SZS output end CNFRefutation for theBenchmark.p
% 10.88/5.93 % Elapsed time: 5.553153 seconds
% 10.88/5.93 % CPU time: 43.233044 seconds
% 10.88/5.93 % Total memory used: 410.175 MB
% 10.88/5.93 % Net memory used: 408.069 MB
%------------------------------------------------------------------------------