%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:35:34 PM UTC 2026
% Result : Unsatisfiable 215.31s 27.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 19:57:30 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 215.31/27.72 % Refutation found
% 215.31/27.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 215.31/27.72 % SZS output start CNFRefutation for theBenchmark
% 215.31/27.72 fof(f1,axiom,(
% 215.31/27.72 (![Y,Z,X]: (inverse(multiply(Y,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,inverse(X)))),inverse(multiply(inverse(Y),Y)))))) = X ))),
% 215.31/27.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 215.31/27.72 fof(f2,negated_conjecture,(
% 215.31/27.72 ( 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)) ) ),
% 215.31/27.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 215.31/27.72 fof(f3,plain,(
% 215.31/27.72 ![X0,X1,X2]: (inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))=X2)),
% 215.31/27.72 inference(cnf_transformation,[status(thm)],[f1])).
% 215.31/27.72 fof(f4,plain,(
% 215.31/27.72 ~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))),
% 215.31/27.72 inference(cnf_transformation,[status(thm)],[f2])).
% 215.31/27.72 fof(f6,plain,(
% 215.31/27.72 ![X0,X1,X2,X3,X4]: (inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))=multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2)))),inverse(multiply(inverse(X3),X3))))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f3,f3])).
% 215.31/27.72 fof(f8,plain,(
% 215.31/27.72 ![X0,X1,X2]: (X0=multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X0))))),inverse(multiply(inverse(X1),X1))))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f3,f6])).
% 215.31/27.72 fof(f30,plain,(
% 215.31/27.72 ![X0,X1,X2]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0)))))))=X2)),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f6,f3])).
% 215.31/27.72 fof(f46,plain,(
% 215.31/27.72 ![X0,X1,X2,X3]: (inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0))))))=multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f8,f3])).
% 215.31/27.72 fof(f209,plain,(
% 215.31/27.72 ![X0,X1,X2]: (X0=multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X0))))))),inverse(multiply(inverse(X2),X2))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f3,f46])).
% 215.31/27.72 fof(f254,plain,(
% 215.31/27.72 ![X0,X1,X2]: (inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1))))=X2)),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f46,f30])).
% 215.31/27.72 fof(f279,plain,(
% 215.31/27.72 ![X0,X1,X2]: (X0=multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),inverse(multiply(inverse(X2),X2)))))))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f46,f8])).
% 215.31/27.72 fof(f355,plain,(
% 215.31/27.72 ![X0,X1,X2,X3]: (inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X3))))))),X0)),X3)),inverse(multiply(inverse(X0),X0))))))=multiply(inverse(X2),X2))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f209,f3])).
% 215.31/27.72 fof(f502,plain,(
% 215.31/27.72 ![X0,X1,X2,X3]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),X3)),inverse(multiply(inverse(X0),X0)))))))=multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f279,f279])).
% 215.31/27.72 fof(f2176,plain,(
% 215.31/27.72 ![X0,X1]: (inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))=multiply(inverse(X0),X0))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f254,f355])).
% 215.31/27.72 fof(f6653,plain,(
% 215.31/27.72 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2))))))))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f502,f279])).
% 215.31/27.72 fof(f6996,plain,(
% 215.31/27.72 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f30,f6653])).
% 215.31/27.72 fof(f7001,plain,(
% 215.31/27.72 ![X0,X1,X2]: (multiply(inverse(X0),X0)=multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f2176,f6653])).
% 215.31/27.72 fof(f12178,plain,(
% 215.31/27.72 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f7001,f7001])).
% 215.31/27.72 fof(f12820,plain,(
% 215.31/27.72 ~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 215.31/27.72 inference(backward_subsumption_resolution,[status(thm)],[f4,f12178])).
% 215.31/27.72 fof(f12888,plain,(
% 215.31/27.72 ![X0,X1,X2,X3]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0)))))))=multiply(X2,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X0)),inverse(multiply(inverse(X3),X3)))))))))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f12178,f502])).
% 215.31/27.72 fof(f12918,plain,(
% 215.31/27.72 ![X0,X1]: (inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(X0)),inverse(X0)))))))=X0)),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f12178,f3])).
% 215.31/27.72 fof(f13093,plain,(
% 215.31/27.72 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3)))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f12178,f6996])).
% 215.31/27.72 fof(f13439,plain,(
% 215.31/27.72 ![X0,X1]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0)))))))=X0)),
% 215.31/27.72 inference(forward_demodulation,[status(thm)],[f279,f12888])).
% 215.31/27.72 fof(f13533,plain,(
% 215.31/27.72 ![X0,X1,X2]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))))=X0)),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f12178,f13439])).
% 215.31/27.72 fof(f13785,plain,(
% 215.31/27.72 ![X0,X1,X2]: (multiply(inverse(X0),X0)=multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f12178,f13093])).
% 215.31/27.72 fof(f19712,plain,(
% 215.31/27.72 ![X0,X1,X2]: (inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))))=X0)),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f12178,f12918])).
% 215.31/27.72 fof(f20323,plain,(
% 215.31/27.72 ![X0,X1,X2,X3]: (inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3))))))))=X0)),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f19712,f19712])).
% 215.31/27.72 fof(f20393,plain,(
% 215.31/27.72 ![X0,X1,X2,X3]: (inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3)))))))))=X0)),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f19712,f13533])).
% 215.31/27.72 fof(f20494,plain,(
% 215.31/27.72 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(inverse(X0),X1))=multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3)))))),multiply(inverse(X4),X4)))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f19712,f13093])).
% 215.31/27.72 fof(f20696,plain,(
% 215.31/27.72 ![X0,X1]: (inverse(multiply(inverse(X0),multiply(inverse(X1),X1)))=X0)),
% 215.31/27.72 inference(forward_demodulation,[status(thm)],[f19712,f20323])).
% 215.31/27.72 fof(f20720,plain,(
% 215.31/27.72 ![X0,X1]: (inverse(inverse(multiply(X0,multiply(inverse(X1),X1))))=X0)),
% 215.31/27.72 inference(forward_demodulation,[status(thm)],[f19712,f20393])).
% 215.31/27.72 fof(f20905,plain,(
% 215.31/27.72 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X1,multiply(inverse(X2),X2)))),
% 215.31/27.72 inference(forward_demodulation,[status(thm)],[f19712,f20494])).
% 215.31/27.72 fof(f21258,plain,(
% 215.31/27.72 ![X0,X1]: (inverse(multiply(inverse(X0),X0))=multiply(inverse(X1),X1))),
% 215.31/27.72 inference(paramodulation,[status(thm)],[f13785,f20696])).
% 215.31/27.72 fof(f21606,plain,(
% 215.31/27.72 ![X0,X1,X2]: (multiply(inverse(X0),X0)=multiply(X1,multiply(inverse(X1),multiply(inverse(X2),X2))))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f20696,f12178])).
% 61.36/27.85 fof(f22808,plain,(
% 61.36/27.85 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),multiply(inverse(X3),X3)))))))))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f21258,f6653])).
% 61.36/27.85 fof(f23165,plain,(
% 61.36/27.85 ![X0,X1]: (inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))=X0)),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f21258,f20696])).
% 61.36/27.85 fof(f23478,plain,(
% 61.36/27.85 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,X0))))))),
% 61.36/27.85 inference(forward_demodulation,[status(thm)],[f20696,f22808])).
% 61.36/27.85 fof(f28660,plain,(
% 61.36/27.85 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(X2,multiply(inverse(X2),X1)))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f20905,f20905])).
% 61.36/27.85 fof(f28736,plain,(
% 61.36/27.85 ![X0,X1]: (inverse(inverse(multiply(X0,multiply(inverse(X0),X1))))=X1)),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f20905,f20720])).
% 61.36/27.85 fof(f33025,plain,(
% 61.36/27.85 ![X0,X1,X2]: (inverse(inverse(multiply(X0,multiply(inverse(X1),X1))))=multiply(inverse(inverse(X0)),multiply(inverse(X2),X2)))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f21606,f28736])).
% 61.36/27.85 fof(f33074,plain,(
% 61.36/27.85 ![X0,X1]: (X0=multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)))),
% 61.36/27.85 inference(forward_demodulation,[status(thm)],[f20720,f33025])).
% 61.36/27.85 fof(f33084,plain,(
% 61.36/27.85 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),inverse(inverse(X0)))))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f28660,f33074])).
% 61.36/27.85 fof(f35832,plain,(
% 61.36/27.85 ![X0,X1,X2]: (X0=multiply(X1,multiply(inverse(X1),inverse(inverse(multiply(multiply(inverse(X2),X2),X0))))))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f20696,f23478])).
% 61.36/27.85 fof(f35834,plain,(
% 61.36/27.85 ![X0,X1,X2]: (X0=multiply(X1,multiply(inverse(X1),inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),X0))))))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f23165,f23478])).
% 61.36/27.85 fof(f36025,plain,(
% 61.36/27.85 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 61.36/27.85 inference(forward_demodulation,[status(thm)],[f33084,f35832])).
% 61.36/27.85 fof(f36027,plain,(
% 61.36/27.85 ![X0,X1]: (X0=multiply(inverse(multiply(inverse(X1),X1)),X0))),
% 61.36/27.85 inference(forward_demodulation,[status(thm)],[f33084,f35834])).
% 61.36/27.85 fof(f36105,plain,(
% 61.36/27.85 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 61.36/27.85 inference(backward_demodulation,[status(thm)],[f36025,f12820])).
% 61.36/27.85 fof(f36257,plain,(
% 61.36/27.85 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 61.36/27.85 inference(trivial_equality_resolution,[status(thm)],[f36105])).
% 61.36/27.85 fof(f37135,plain,(
% 61.36/27.85 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),inverse(inverse(X0))))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f36027,f33084])).
% 61.36/27.85 fof(f37147,plain,(
% 61.36/27.85 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),X1))=multiply(multiply(inverse(X2),X2),X1))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f36027,f28660])).
% 61.36/27.85 fof(f37306,plain,(
% 61.36/27.85 ![X0]: (X0=inverse(inverse(X0)))),
% 61.36/27.85 inference(forward_demodulation,[status(thm)],[f36025,f37135])).
% 61.36/27.85 fof(f37311,plain,(
% 61.36/27.85 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 61.36/27.85 inference(forward_demodulation,[status(thm)],[f36025,f37147])).
% 61.36/27.85 fof(f37483,plain,(
% 61.36/27.85 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 61.36/27.85 inference(backward_demodulation,[status(thm)],[f37306,f23478])).
% 61.36/27.85 fof(f90678,plain,(
% 61.36/27.85 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 61.36/27.85 inference(paramodulation,[status(thm)],[f37483,f37311])).
% 61.36/27.85 fof(f91387,plain,(
% 61.36/27.85 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 61.36/27.85 inference(backward_demodulation,[status(thm)],[f90678,f36257])).
% 61.36/27.85 fof(f91665,plain,(
% 61.36/27.85 $false),
% 61.36/27.85 inference(trivial_equality_resolution,[status(thm)],[f91387])).
% 61.36/27.85 % SZS output end CNFRefutation for theBenchmark.p
% 11.99/28.12 % Elapsed time: 27.740683 seconds
% 11.99/28.12 % CPU time: 217.133144 seconds
% 11.99/28.12 % Total memory used: 3.233 GB
% 11.99/28.12 % Net memory used: 3.214 GB
%------------------------------------------------------------------------------